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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",
"-",
"+"
] |
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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