{ "cells": [ { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "from main import *" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "task 400/400, example 1000/1000: 100%|██████████| 400/400 [35:28<00:00, 5.32s/it] \n" ] } ], "source": [ "generate_dataset()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "007bbfb7\n", "original:\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (easy):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (easy):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (easy):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (easy):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (easy):\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demo_dataset(s=0, e=80)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3aa6fb7a\n", "original:\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (easy):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (easy):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (easy):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demo_dataset(s=80, e=160)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6cdd2623\n", "original:\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (easy):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demo_dataset(s=160, e=240)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "9dfd6313\n", "original:\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (easy):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (easy):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (hard):\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "generated (easy):\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demo_dataset(s=320, e=400)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "verification programs work for all examples for 394/400 tasks\n", "verification fails (on one example) for tasks {'97a05b5b', '29ec7d0e', '4290ef0e', '7e0986d6', 'a64e4611', '53b68214'}\n" ] } ], "source": [ "evaluate_verifiers_on_original_tasks()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.6" } }, "nbformat": 4, "nbformat_minor": 2 }