function
stringlengths 1
348k
⌀ | rules
stringlengths 9
409
|
|---|---|
x | power_rule' |
2*x | mul_rule' |
2*x**2 | mul_rule' |
x**2 | power_rule' |
x**2 + 2*x | add_rule' |
2*x**3 | mul_rule' |
x**3 | power_rule' |
4*x**2 | mul_rule' |
2*x**2 + x | add_rule' |
3*x**2 | mul_rule' |
x*(x**2 + x) | partial_fractions_rule' |
x**3 + x**2 | add_rule' |
sqrt(x) | power_rule' |
exp(x) | exp_rule' |
cos(x) | trig_rule' |
sin(x) | trig_rule' |
tan(x) | trig_rule' |
sin(x)/cos(x) | substitution_rule', cos(x), |
1/_u | power_rule' |
3*x | mul_rule' |
x/2 | mul_rule' |
sqrt(x) + x | add_rule' |
x**(3/2) | power_rule' |
x*(x + 1) | partial_fractions_rule' |
x**2 + x | add_rule' |
-x**2 + x | add_rule' |
-x**2 | mul_rule' |
x + exp(x) | add_rule' |
4*x**3 | mul_rule' |
x + tan(x) | add_rule' |
x + sin(x) | add_rule' |
x + cos(x) | add_rule' |
x**2 - x | add_rule' |
-x | mul_rule' |
x**2 + 3*x | add_rule' |
2/x | mul_rule' |
1/x | power_rule' |
sqrt(x) + 2*x | add_rule' |
5*x**2 | mul_rule' |
2*x + log(x) | add_rule' |
log(x) | parts_rule', log(x), |
1 | constant_rule' |
2*x + tan(x) | add_rule' |
2*x + cos(x) | add_rule' |
2*x + sin(x) | add_rule' |
x*exp(x) | parts_rule', x, |
x**3 + 2*x | add_rule' |
4*x | mul_rule' |
1/(2*x) | mul_rule' |
x**2*exp(x) | parts_rule', x**2, |
x*exp(x) | parts_rule', 2*x, |
2*exp(x) | mul_rule' |
4*x**2 + x | add_rule' |
x**2*cos(x) | parts_rule', x**2, |
x*sin(x) | parts_rule', 2*x, |
-2*cos(x) | mul_rule' |
x**2*log(x) | substitution_rule', log(x), |
_u*exp(3*_u) | parts_rule', _u, |
exp(3*_u)/3 | mul_rule' |
exp(3*_u) | substitution_rule', 3*_u, |
exp(_u) | exp_rule' |
exp(3*_u) | substitution_rule', exp(3*_u), |
x**2*log(x) | parts_rule', log(x), |
x**2/3 | mul_rule' |
x**2*sin(x) | parts_rule', x**2, |
x*cos(x) | parts_rule', -2*x, |
-2*sin(x) | mul_rule' |
2*x + 1 | add_rule' |
x*cos(x) | parts_rule', x, |
x*log(x) | substitution_rule', log(x), |
_u*exp(2*_u) | parts_rule', _u, |
exp(2*_u)/2 | mul_rule' |
exp(2*_u) | substitution_rule', 2*_u, |
exp(2*_u) | substitution_rule', exp(2*_u), |
x*log(x) | parts_rule', log(x), |
x*sin(x) | parts_rule', x, |
-cos(x) | mul_rule' |
3*x**3 | mul_rule' |
x**4 | power_rule' |
5*x | mul_rule' |
2*x**4 | mul_rule' |
2*x**2 + 2*x | add_rule' |
6*x**2 | mul_rule' |
-x**2 + 2*x | add_rule' |
x/3 | mul_rule' |
x**2/2 | mul_rule' |
x/4 | mul_rule' |
exp(2*x) | substitution_rule', 2*x, |
exp(2*x) | substitution_rule', exp(2*x), |
3*x**2 + x | add_rule' |
x**(3/2) + x | add_rule' |
x/5 | mul_rule' |
3/x | mul_rule' |
5*x**3 | mul_rule' |
sqrt(2)*sqrt(x) | mul_rule' |
x + 1 | add_rule' |
5/x | mul_rule' |
x*exp(x) + x | add_rule' |
log(x**2) | parts_rule', log(x**2), |
2 | constant_rule' |
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SIRD-27M: Symbolic Integration Rules Dataset is one of its kind dataset with function-integration rules pairs. Integration rules are the immediate next rules that should be applied on the function in order to solve its integral.
Dataset Details
SIRD-27M consists of 27 Million+ distinct samples covering 24 different integration rules.
Dataset Description
expr_27465168.csv consists of two columns:
- function: string column with mathematical functions
- rules: string column with integration rule names and an expression for certain rules like substitution rule, etc.
Uses
SIRD-27M can be utilised for various usecases:
- This can be used to train a model to learn which integration rule should be applied next to a function. Furthermore the model can highly speedup and might also improve success rate.
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