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expr
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3
61
val
stringlengths
1
8
category
stringclasses
39 values
ops_used
listlengths
1
9
(-24)+43.3
19.3
+_d1
[ "-", "+" ]
2+(-6)
-4
+_d2
[ "+", "-" ]
(tan(exp(-0.5)))+(ln(31+33))
4.9
+_d3
[ "tan", "exp", "-", "+", "ln" ]
(-9)-37.9
-46.9
-_d1
[ "-" ]
(-3.7)-9.6
-13.3
-_d2
[ "-" ]
(7+(-5))-(tan(sin(-2.1)))
3.2
-_d3
[ "+", "-", "tan", "sin" ]
8.6*(-4)
-34.4
*_d1
[ "*", "-" ]
(-8.7)*(-8)
69.6
*_d2
[ "-", "*" ]
((-5)/(-7.5))*(log(3.4^(-2)))
-1.6
*_d3
[ "-", "/", "*", "log", "^" ]
(-15)/(-7)
2.1
/_d1
[ "-", "/" ]
(-8)/5.9
-1.4
/_d2
[ "-", "/" ]
(exp(1^3))/(-8.2)
-0.3
/_d3
[ "exp", "^", "/", "-" ]
1^3
1
^_d1
[ "^" ]
7^-1
0.1
^_d2
[ "^", "-" ]
(sqrt((-16)/(-6.1)))^-1
0.6
^_d3
[ "sqrt", "-", "/", "^" ]
sin(1.3)
1
sin_d1
[ "sin" ]
sin(tan(5.5))
-0.8
sin_d2
[ "sin", "tan" ]
sin(1/6)
0.2
sin_d3
[ "sin", "/" ]
cos(-4.3)
-0.4
cos_d1
[ "cos", "-" ]
cos(1.8^1)
-0.2
cos_d2
[ "cos", "^" ]
cos((-6)-(-1.7))
-0.4
cos_d3
[ "cos", "-" ]
tan(3.6)
0.5
tan_d1
[ "tan" ]
tan(1/7.4)
0.1
tan_d2
[ "tan", "/" ]
tan(sin(ln(sqrt(40.3))))
1.4
tan_d3
[ "tan", "sin", "ln", "sqrt" ]
log(7.5)
2
log_d1
[ "log" ]
log(abs(7.7/(-5))+0.1)
0.5
log_d2
[ "log", "abs", "/", "-", "+" ]
log(abs(1/(-1.3))+0.1)
-0.1
log_d3
[ "log", "abs", "/", "-", "+" ]
ln(1)
0
ln_d1
[ "ln" ]
ln(sin(0.1))
-2.3
ln_d2
[ "ln", "sin" ]
ln(ln(sqrt(15.2)))
0.3
ln_d3
[ "ln", "sqrt" ]
exp(1.4)
4.1
exp_d1
[ "exp" ]
exp(sin(1.1))
2.4
exp_d2
[ "exp", "sin" ]
exp(sin(8+7))
1.9
exp_d3
[ "exp", "sin", "+" ]
sqrt(8.1)
2.8
sqrt_d1
[ "sqrt" ]
sqrt((-2.2)*(-5.4))
3.4
sqrt_d2
[ "sqrt", "-", "*" ]
sqrt(abs((-1)*9))
3
sqrt_d3
[ "sqrt", "abs", "-", "*" ]
abs(17)
17
abs_d1
[ "abs" ]
abs(28.6+(-31.3))
2.7
abs_d2
[ "abs", "+", "-" ]
abs(ln((-7.3)-(-40.5)))
3.5
abs_d3
[ "abs", "ln", "-" ]
(-17.8)+47.5
29.7
+_d1
[ "-", "+" ]
(-7)+3.2
-3.8
+_d2
[ "-", "+" ]
(abs(log(19.8)))+(sin(3^1))
3.1
+_d3
[ "abs", "log", "+", "sin", "^" ]
(-2.1)-(-34.1)
32
-_d1
[ "-" ]
(-1)-1.4
-2.4
-_d2
[ "-" ]
((abs(-9)+0.1)^-1)-8
-7.9
-_d3
[ "abs", "-", "+", "^" ]
0.6*2.7
1.6
*_d1
[ "*" ]
(-5)*7
-35
*_d2
[ "-", "*" ]
(tan(sin((-25.8)+(-27.1))))*(cos(exp(1)))
0.5
*_d3
[ "tan", "sin", "-", "+", "*", "cos", "exp" ]
1.3/(-10)
-0.1
/_d1
[ "/", "-" ]
(-2.9)/(-1)
2.9
/_d2
[ "-", "/" ]
(9.8-3)/(cos(5^(-2)))
6.8
/_d3
[ "-", "/", "cos", "^" ]
4.6^(-1)
0.2
^_d1
[ "^", "-" ]
4^1
4
^_d2
[ "^" ]
(abs(0/2.7)+0.1)^3
0
^_d3
[ "abs", "/", "+", "^" ]
sin(-0.6)
-0.6
sin_d1
[ "sin", "-" ]
sin(ln(15.5))
0.4
sin_d2
[ "sin", "ln" ]
sin(sqrt(abs(sin(4))))
0.8
sin_d3
[ "sin", "sqrt", "abs" ]
cos(-0.9)
0.6
cos_d1
[ "cos", "-" ]
cos(exp(1.2))
-1
cos_d2
[ "cos", "exp" ]
cos((abs(-6)+0.1)^-1)
1
cos_d3
[ "cos", "abs", "-", "+", "^" ]
tan(4.4)
3.1
tan_d1
[ "tan" ]
tan(0.9^3)
0.9
tan_d2
[ "tan", "^" ]
tan(sin(tan(-4.1)))
-1.5
tan_d3
[ "tan", "sin", "-" ]
log(18.1)
2.9
log_d1
[ "log" ]
log(abs(tan(5.7))+0.1)
-0.3
log_d2
[ "log", "abs", "tan", "+" ]
log(sqrt(tan(-2.1)))
0.3
log_d3
[ "log", "sqrt", "tan", "-" ]
ln(13.7)
2.6
ln_d1
[ "ln" ]
ln(abs(20/(-8.9))+0.1)
0.9
ln_d2
[ "ln", "abs", "/", "-", "+" ]
ln(abs(8*(-10)))
4.4
ln_d3
[ "ln", "abs", "*", "-" ]
exp(2.3)
10
exp_d1
[ "exp" ]
exp(sin(6.3))
1
exp_d2
[ "exp", "sin" ]
exp(cos(tan(-4.8)))
1.5
exp_d3
[ "exp", "cos", "tan", "-" ]
sqrt(11.9)
3.4
sqrt_d1
[ "sqrt" ]
sqrt(abs(4.5*(-5.5)))
5
sqrt_d2
[ "sqrt", "abs", "*", "-" ]
sqrt(9.9*5)
7
sqrt_d3
[ "sqrt", "*" ]
abs(-96.8)
96.8
abs_d1
[ "abs", "-" ]
abs(cos(-1.3))
0.3
abs_d2
[ "abs", "cos", "-" ]
abs(ln(exp(-2.7)))
2.7
abs_d3
[ "abs", "ln", "exp", "-" ]
19+(-22.8)
-3.8
+_d1
[ "+", "-" ]
1+(-8)
-7
+_d2
[ "+", "-" ]
(sqrt(abs(ln(0.4))))+(9.9-(-8))
18.9
+_d3
[ "sqrt", "abs", "ln", "+", "-" ]
20-2
18
-_d1
[ "-" ]
(-8.5)-(-7)
-1.5
-_d2
[ "-" ]
0.4-(1+6)
-6.6
-_d3
[ "-", "+" ]
6.6*7.3
48.2
*_d1
[ "*" ]
(-1.5)*(-9)
13.5
*_d2
[ "-", "*" ]
(sqrt(exp(-1.2)))*(cos((-10)*(-5)))
0.5
*_d3
[ "sqrt", "exp", "-", "*", "cos" ]
(-19.8)/5.3
-3.7
/_d1
[ "-", "/" ]
(-5.7)/5
-1.1
/_d2
[ "-", "/" ]
((-9.8)-5)/(sqrt(exp(-1.6)))
-32.9
/_d3
[ "-", "/", "sqrt", "exp" ]
5^(-1)
0.2
^_d1
[ "^", "-" ]
7.5^-1
0.1
^_d2
[ "^", "-" ]
((abs(-2)+0.1)^-1)^-2
4.4
^_d3
[ "abs", "-", "+", "^" ]
sin(5.1)
-0.9
sin_d1
[ "sin" ]
sin(log(17.7))
0.3
sin_d2
[ "sin", "log" ]
sin(0.6/1)
0.6
sin_d3
[ "sin", "/" ]
cos(1.6)
0
cos_d1
[ "cos" ]
cos(sin(2.4))
0.8
cos_d2
[ "cos", "sin" ]
cos(abs(1^(-1)))
0.5
cos_d3
[ "cos", "abs", "^", "-" ]
tan(2.4)
-0.9
tan_d1
[ "tan" ]
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YAML Metadata Warning:The task_categories "mathematical-modeling" is not in the official list: text-classification, token-classification, table-question-answering, question-answering, zero-shot-classification, translation, summarization, feature-extraction, text-generation, fill-mask, sentence-similarity, text-to-speech, text-to-audio, automatic-speech-recognition, audio-to-audio, audio-classification, audio-text-to-text, voice-activity-detection, depth-estimation, image-classification, object-detection, image-segmentation, text-to-image, image-to-text, image-to-image, image-to-video, unconditional-image-generation, video-classification, reinforcement-learning, robotics, tabular-classification, tabular-regression, tabular-to-text, table-to-text, multiple-choice, text-ranking, text-retrieval, time-series-forecasting, text-to-video, image-text-to-text, image-text-to-image, image-text-to-video, visual-question-answering, document-question-answering, zero-shot-image-classification, graph-ml, mask-generation, zero-shot-object-detection, text-to-3d, image-to-3d, image-feature-extraction, video-text-to-text, keypoint-detection, visual-document-retrieval, any-to-any, video-to-video, other

Transformer Math Dataset (250M Production Shards)

High-precision synthetic mathematical expression dataset generated for training sequence-to-sequence math Transformers in JAX/Flax.

Dataset Structure

  • Total Samples: 250,000,000
  • Shard Format: JSONL sharded files (100,000 samples per shard)
  • Supported Operations: +, -, *, /, ^, sin, cos, tan, log, ln, exp, sqrt, abs
  • Max Expression Depth: 3

Data Fields

Each line in the .jsonl shard files is a JSON object with the following fields:

  • expr (str): Syntactically valid mathematical expression (e.g. "sin((3.5))+cos((1.2))")
  • val (str): Target evaluated numerical result formatted to precision (e.g. "0.6")
  • category (str): Operation-depth category bucket (e.g. "sin_d2")
  • ops_used (list[str]): List of mathematical functions/operators present in the expression (e.g. ["sin", "+", "cos"])

Usage Example

from datasets import load_dataset

dataset = load_dataset("durgasai299792458/mathmetics-dataset1", streaming=True)
for sample in dataset["train"]:
    print(sample["expr"], "->", sample["val"], "ops:", sample["ops_used"])
    break
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