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expr
string
val
string
category
string
ops_used
list
((sin(sqrt(54.1)))/(cos(ln(29.8))))+(abs(15+(-12)))
2.1
+_d4
[ "sin", "sqrt", "/", "cos", "ln", "+", "abs", "-" ]
(tan(sin(abs(abs(abs(-6.4))))))+(sin(ln(2.4)))
0.9
+_d5
[ "tan", "sin", "abs", "-", "+", "ln" ]
((9^-2)/((sqrt(abs(log(abs(cos(4.2))+0.1))))*(-2.1)))+(log(exp((cos(exp(0.1)))/(cos(ln(40.3))))))
-0.5
+_d6
[ "^", "-", "/", "sqrt", "abs", "log", "cos", "+", "*", "exp", "ln" ]
(sin((-5)/0.6))-(tan(sin(20.4-12)))
-2
-_d4
[ "sin", "-", "/", "tan" ]
(tan(cos(sin(1.9))))-(log(abs(18.1/1.7)))
-1.7
-_d5
[ "tan", "cos", "sin", "-", "log", "abs", "/" ]
(((sqrt(abs(log(log(2)))))^1)-(sqrt(sin((-19.4)*3.5))))-(cos(log(14.6+(tan(sin(log(41.4)))))))
0.5
-_d6
[ "sqrt", "abs", "log", "^", "-", "sin", "*", "cos", "+", "tan" ]
((-6.4)*((-13)-(-12.6)))*(abs(tan(sin(1.6^3))))
2.7
*_d4
[ "-", "*", "abs", "tan", "sin", "^" ]
(tan(sin(abs(abs(0.4+(-2.9))))))*(sin((sin(exp(-3)))*(ln(cos(-0.8)))))
0
*_d5
[ "tan", "sin", "abs", "+", "-", "*", "exp", "ln", "cos" ]
(abs((log(ln(abs((-7.2)/4.6)+0.1)))/(exp(13.3^-1))))*(exp(sin((abs(exp(sin(-4.1))))^2)))
0.3
*_d6
[ "abs", "log", "ln", "-", "/", "+", "exp", "^", "*", "sin" ]
((abs((-7)*14)+0.1)^2)/(-5.6)
-1718.5
/_d4
[ "abs", "-", "*", "+", "^", "/" ]
(sin(log(abs((-11.9)*3)+0.1)))/(-17)
0
/_d5
[ "sin", "log", "abs", "-", "*", "+", "/" ]
(sin((tan(sin(sqrt(88.5))))*((-13)*(tan(sin(exp(1.9)))))))/(abs(log(abs((-10.9)/((-9.6)/(-18.2)))+0.1)))
0
/_d6
[ "sin", "tan", "sqrt", "*", "-", "exp", "/", "abs", "log", "+" ]
((sqrt(abs(11.4-23.2)))^-1)^2
0.1
^_d4
[ "sqrt", "abs", "-", "^" ]
(tan(exp(sin(sqrt(31.4)))))^-2
2.9
^_d5
[ "tan", "exp", "sin", "sqrt", "^", "-" ]
(abs(ln(abs(log(log(exp(sin((-26.4)-28.4)))))+0.1))+0.1)^1
2.3
^_d6
[ "abs", "ln", "log", "exp", "sin", "-", "+", "^" ]
sin(sin(log(log(43.6))))
0.8
sin_d4
[ "sin", "log" ]
sin(sin(ln(3.8-(-13))))
0.3
sin_d5
[ "sin", "ln", "-" ]
sin(ln(((exp(tan(0.6)))+(-2.8))/(-8)))
-0.8
sin_d6
[ "sin", "ln", "exp", "tan", "+", "-", "/" ]
cos(log(tan(sin(ln(21.2)))))
-0.8
cos_d4
[ "cos", "log", "tan", "sin", "ln" ]
cos(tan(cos(sqrt(abs(-86.6)))))
0
cos_d5
[ "cos", "tan", "sqrt", "abs", "-" ]
cos(ln((sqrt(abs(cos(ln(26.5)))))*((8.5/1)-((-7)-(-14)))))
0.9
cos_d6
[ "cos", "ln", "sqrt", "abs", "*", "/", "-" ]
tan(log((-10.2)/(-5.4)))
0.7
tan_d4
[ "tan", "log", "-", "/" ]
tan(cos(cos(11.9+(-16.9))))
1.4
tan_d5
[ "tan", "cos", "+", "-" ]
tan(sin((tan(sin(ln(9.1))))^2))
1.2
tan_d6
[ "tan", "sin", "ln", "^" ]
log(abs((sin(abs(86.5)))/((-9.2)+11))+0.1)
-0.4
log_d4
[ "log", "abs", "sin", "/", "-", "+" ]
log((abs(-19)+0.1)^2)
5.9
log_d5
[ "log", "abs", "-", "+", "^" ]
log(exp((sin(sqrt((-23.3)-(-27.1))))-(log((-11.4)+17.7))))
-0.9
log_d6
[ "log", "exp", "sin", "sqrt", "-", "+" ]
ln(log(3*6))
1.1
ln_d4
[ "ln", "log", "*" ]
ln(ln(abs(log(tan(sin(31.4-34.9))))+0.1))
-2.3
ln_d5
[ "ln", "abs", "log", "tan", "sin", "-", "+" ]
ln(sqrt(cos(log(tan(sin(5+3.8))))))
0
ln_d6
[ "ln", "sqrt", "cos", "log", "tan", "sin", "+" ]
exp(sqrt(sin(sqrt(78.3))))
2.1
exp_d4
[ "exp", "sqrt", "sin" ]
exp((ln(abs(cos(abs(-21.6)))+0.1))/(-20))
1
exp_d5
[ "exp", "ln", "abs", "cos", "-", "+", "/" ]
exp(sin(log(abs((exp(tan(5.2)))-(19.9^2)))))
0.7
exp_d6
[ "exp", "sin", "log", "abs", "tan", "-", "^" ]
sqrt(exp(sin((-10.8)-(-15.2))))
0.6
sqrt_d4
[ "sqrt", "exp", "sin", "-" ]
sqrt((exp(sin(4.9^1)))^-2)
2.7
sqrt_d5
[ "sqrt", "exp", "sin", "^", "-" ]
sqrt(abs((log(ln(tan(sin(12.7*16.9)))))*(abs((sin(13+(-31.1)))/(12.1+17.8)))))
0.2
sqrt_d6
[ "sqrt", "abs", "log", "ln", "tan", "sin", "*", "+", "-", "/" ]
abs(exp(sqrt(exp(1.5))))
8.3
abs_d4
[ "abs", "exp", "sqrt" ]
abs(sin((ln(log(44.5)))^-2))
0.5
abs_d5
[ "abs", "sin", "ln", "log", "^", "-" ]
abs(exp(sqrt(exp(sin(18.9+14.4)))))
5
abs_d6
[ "abs", "exp", "sqrt", "sin", "+" ]
((sqrt(40.8+(-30)))-(sin(cos(-3.6))))+6
10.1
+_d4
[ "sqrt", "+", "-", "sin", "cos" ]
(exp(sin((tan(sin((-16.3)*18)))+(abs(sqrt(6.1))))))+(((exp(sin(3.2^3)))/(abs(sin(1.4))))^1)
3.2
+_d5
[ "exp", "sin", "tan", "-", "*", "+", "abs", "sqrt", "^", "/" ]
(sin(abs(exp(sin(sqrt(37.9+33.1))))))+((exp(log(tan(sin(ln(21.7))))))-((sin(log(abs(20-33)+0.1)))^-2))
-2.6
+_d6
[ "sin", "abs", "exp", "sqrt", "+", "log", "tan", "ln", "-", "^" ]
(sin(log(cos(5.7))))-(abs((abs(-12.6)+0.1)^1))
-12.9
-_d4
[ "sin", "log", "cos", "-", "abs", "+", "^" ]
((tan(sin(5.9-2.5)))/(cos(sqrt(41+24))))-(tan(sin(log((-9)*(-17.2)))))
2.7
-_d5
[ "tan", "sin", "-", "/", "cos", "sqrt", "+", "log", "*" ]
((tan(tan(sin(ln(25.9-11.6)))))+(exp(sin(10*((-12.7)/(-17.2))))))-((((-17)*(-5.6))+(sin(abs(36.5+(-17)))))*(ln(log(abs((-20)+(-18))+0.1))))
-120.8
-_d6
[ "tan", "sin", "ln", "-", "+", "exp", "*", "/", "abs", "log" ]
((tan(1.7^(-1)))^1)*(sin(sin(sqrt(21.6))))
-0.6
*_d4
[ "tan", "^", "-", "*", "sin", "sqrt" ]
15.7*(exp((abs(45.8/9.1))+(-6.8)))
2.7
*_d5
[ "*", "exp", "abs", "/", "+", "-" ]
(((ln(exp(sin(ln(33.6)))))-((-16.1)-(exp(sin(1.7)))))+(-14))*4.8
21.3
*_d6
[ "ln", "exp", "sin", "-", "+", "*" ]
(tan(sin((-7.6)/(-1.2))))/((sqrt(sqrt(50.9)))/(abs(4.6^(-1))))
0
/_d4
[ "tan", "sin", "-", "/", "sqrt", "abs", "^" ]
((-6.4)-20)/(sin(ln(abs(sin(abs(3.2)))+0.1)))
27.4
/_d5
[ "-", "/", "sin", "ln", "abs", "+" ]
(((((-9.3)*(-19.9))+(6.3*17.1))^1)-(sqrt(abs(log(abs(tan(6.2)))))))/(((abs(-15.8)+0.1)^-1)*(-19))
-243.7
/_d6
[ "-", "*", "+", "^", "sqrt", "abs", "log", "tan", "/" ]
(sqrt(abs(sin(ln(25.7)))))^2
0.1
^_d4
[ "sqrt", "abs", "sin", "ln", "^" ]
(sqrt(exp(cos(cos(0.5)))))^2
1.9
^_d5
[ "sqrt", "exp", "cos", "^" ]
(abs(ln(abs(log(tan(sin((-48.7)+(-32)))))))+0.1)^-2
0.2
^_d6
[ "abs", "ln", "log", "tan", "sin", "-", "+", "^" ]
sin(log(abs(tan(sin(sqrt(31.3))))+0.1))
-0.2
sin_d4
[ "sin", "log", "abs", "tan", "sqrt", "+" ]
sin(log(tan(sin(3.2*20))))
0.3
sin_d5
[ "sin", "log", "tan", "*" ]
sin(ln(abs(ln(abs(sin(sqrt(16.6-(-13.5))))+0.1))+0.1))
-0.9
sin_d6
[ "sin", "ln", "abs", "sqrt", "-", "+" ]
cos(tan(log(2^(-2))))
0.6
cos_d4
[ "cos", "tan", "log", "^", "-" ]
cos(cos((14.4^2)*(ln(ln(19.9)))))
0.8
cos_d5
[ "cos", "^", "*", "ln" ]
cos(ln((abs(sin(ln(16.2))))^-2))
-0.5
cos_d6
[ "cos", "ln", "abs", "sin", "^", "-" ]
tan(sin((ln(log(16.8)))-((-17.5)+(-3.6))))
-0.1
tan_d4
[ "tan", "sin", "ln", "log", "-", "+" ]
tan(sin(log(sqrt(abs((-7)-15)))))
1.6
tan_d5
[ "tan", "sin", "log", "sqrt", "abs", "-" ]
tan(sin((-8.7)-((log(abs(42)))+(sin(log(abs(sin(3.3))+0.1))))))
1.2
tan_d6
[ "tan", "sin", "-", "log", "abs", "+" ]
log(abs((-13.2)+(-7)))
3
log_d4
[ "log", "abs", "-", "+" ]
log(cos((11.2^2)*(ln(abs(sin(-1.3))+0.1))))
-2.1
log_d5
[ "log", "cos", "^", "*", "ln", "abs", "sin", "-", "+" ]
log(sqrt(sqrt(exp(sin((-13)-(-4.8))))))
-0.2
log_d6
[ "log", "sqrt", "exp", "sin", "-" ]
ln(abs((sin(sin(-4.1)))+(17/(-17.4)))+0.1)
-1.1
ln_d4
[ "ln", "abs", "sin", "-", "+", "/" ]
ln(abs(ln((sqrt(abs(46/(-9.8))))^-2))+0.1)
0.5
ln_d5
[ "ln", "abs", "sqrt", "/", "-", "^", "+" ]
ln((abs(tan(ln(abs(cos(1.9))+0.1)))+0.1)^3)
0.7
ln_d6
[ "ln", "abs", "tan", "cos", "+", "^" ]
exp(exp(sin((-14.9)-18.4)))
1.5
exp_d4
[ "exp", "sin", "-" ]
exp(sin(cos(ln(abs(sin(3.6))+0.1))))
2.1
exp_d5
[ "exp", "sin", "cos", "ln", "abs", "+" ]
exp(sin((((abs(ln(30.5)))+(sin((-50)+22)))^3)^3))
0.4
exp_d6
[ "exp", "sin", "abs", "ln", "+", "-", "^" ]
sqrt(log((-1.4)*(-13.6)))
1.7
sqrt_d4
[ "sqrt", "log", "-", "*" ]
sqrt(cos(tan(sin(ln(abs((-46)+42)+0.1)))))
0.2
sqrt_d5
[ "sqrt", "cos", "tan", "sin", "ln", "abs", "-", "+" ]
sqrt(tan(log(log(ln(abs(18.4*(-14.9))+0.1)))))
0.8
sqrt_d6
[ "sqrt", "tan", "log", "ln", "abs", "*", "-", "+" ]
abs(abs(log(abs(23.3/(-7.5))+0.1)))
1.2
abs_d4
[ "abs", "log", "/", "-", "+" ]
abs(cos(abs((-17.9)+10.7)))
0.6
abs_d5
[ "abs", "cos", "-", "+" ]
abs((log(abs(tan(cos(exp(2.8))))+0.1))^3)
0
abs_d6
[ "abs", "log", "tan", "cos", "exp", "+", "^" ]
((ln(abs(sin(-0.9))+0.1))/(12.2-(-3.2)))+14
14
+_d4
[ "ln", "abs", "sin", "-", "+", "/" ]
((log(sin((-28.3)-(-24.3))))*((cos(abs(68.1)))*(sqrt(exp(-3)))))+((exp(log(1.8)))*((-2.1)/11.7))
-0.4
+_d5
[ "log", "sin", "-", "*", "cos", "abs", "sqrt", "exp", "+", "/" ]
((abs(sin(cos(ln(32.1)))))+(sqrt(sqrt(ln(tan(-2.1))))))+(sin(exp(sin(sqrt(abs(83.5))))))
2.6
+_d6
[ "abs", "sin", "cos", "ln", "+", "sqrt", "tan", "-", "exp" ]
(log(abs(ln(abs(sin(6.1))+0.1))+0.1))-((abs((-8)+(-18))+0.1)^1)
-25.8
-_d4
[ "log", "abs", "ln", "sin", "+", "-", "^" ]
(sin(sqrt(abs((-10)-(-2.2)))))-(-14.9)
15.2
-_d5
[ "sin", "sqrt", "abs", "-" ]
(log(sqrt((12.1^2)-(sqrt(abs(-53.5))))))-((sqrt((13.2^-2)^1))^1)
2.4
-_d6
[ "log", "sqrt", "^", "-", "abs" ]
((tan(sin(8.7-(-26.6))))+(ln(7.7*12.8)))*(15.9-(exp(sin(exp(1.7)))))
58.4
*_d4
[ "tan", "sin", "-", "+", "ln", "*", "exp" ]
(tan(sin(tan(sin((abs(-11)+0.1)^1)))))*(-11.3)
17.6
*_d5
[ "tan", "sin", "abs", "-", "+", "^", "*" ]
(cos(exp(sin(6.3/(sqrt(tan(-2)))))))*(log((sin(ln(sqrt(76.4))))*((cos(cos(-0.9)))/(sin(32.6-6)))))
-0.4
*_d6
[ "cos", "exp", "sin", "/", "sqrt", "tan", "-", "*", "log", "ln" ]
(exp(sin(sqrt(33-(-23)))))/(exp(sin(log(22.2))))
2.4
/_d4
[ "exp", "sin", "sqrt", "-", "/", "log" ]
5.5/(cos(log(sqrt(log(47.4)))))
7
/_d5
[ "/", "cos", "log", "sqrt" ]
((((sqrt(exp(2)))^-1)/(tan(sin(abs((-15)-(-10))))))/(log(abs((abs(cos(-2)))-((-17.3)+19))+0.1)))/(exp(tan(cos((-11)*15.2))))
-2.1
/_d6
[ "sqrt", "exp", "^", "-", "/", "tan", "sin", "abs", "log", "cos", "+", "*" ]
(abs(0)+0.1)^2
0
^_d4
[ "abs", "+", "^" ]
(sin(sin((-19.3)/(-18))))^3
0.5
^_d5
[ "sin", "-", "/", "^" ]
(abs(((log(exp(0.7)))-(-5.9))+(14.5/(1))))^-2
0
^_d6
[ "abs", "log", "exp", "-", "+", "/", "^" ]
sin(((-8.7)*0)-(log(sin(2.8))))
0.9
sin_d4
[ "sin", "-", "*", "log" ]
sin(((-18.5)/(tan(ln(2))))*((cos(10.2-9.4))-(7.6-3)))
-0.9
sin_d5
[ "sin", "-", "/", "tan", "ln", "*", "cos" ]
sin(cos(exp((log(abs((-4)/0.7)+0.1))+(10^-1))))
0.8
sin_d6
[ "sin", "cos", "exp", "log", "abs", "-", "/", "+", "^" ]
cos((sqrt(abs(25.9)))*(10.3/8.3))
1
cos_d4
[ "cos", "sqrt", "abs", "*", "/" ]
cos(log(log(log(abs((-10.8)-22)+0.1))))
1
cos_d5
[ "cos", "log", "abs", "-", "+" ]
cos(sin(8.4/(log(log(32.5-(-33.8))))))
0.9
cos_d6
[ "cos", "sin", "/", "log", "-" ]
tan(sin(log(abs((-9)+(-3.8))+0.1)))
0.6
tan_d4
[ "tan", "sin", "log", "abs", "-", "+" ]
End of preview.

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 (250,000,000 Samples Sharded)

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
  • Expression Depth Range: Depth 4 to 6
  • Integer Operand Ratio: 20%

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_d4")
  • 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("saidurga001301/mathmetics-dataset-float-long", streaming=True)
for sample in dataset["train"]:
    print(sample["expr"], "->", sample["val"], "ops:", sample["ops_used"])
    break
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