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' |