Details

Time bar (total: 2.1s)

analyze41.0ms (2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
62.4%37.5%0.1%4
68.7%31.2%0.1%5
68.7%18.7%12.6%6
68.7%17.2%14.1%7
68.7%10.1%21.2%8
68.7%9%22.3%9
68.7%5.3%26%10
68.7%4.6%26.7%11
68.7%2.7%28.6%12
68.7%2.3%29%13
68.7%1.4%30%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample784.0ms (38.2%)

Results
769.0ms8256×body128valid
3.0ms40×body128invalid
Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess16.0ms (0.8%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
11026
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.5b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 30 to 18 computations (40% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
0.5b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series8.0ms (0.4%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
a
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
b
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
b
@inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite43.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
854×pow1_binary64
793×log1p-expm1-u_binary64
793×expm1-log1p-u_binary64
79×add-sqr-sqrt_binary64
78×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
114721
2211621
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)) (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))

simplify29.0ms (1.4%)

Algorithm
egg-herbie
Rules
475×times-frac_binary64
448×associate-+l+_binary64
426×fma-def_binary64
303×associate-/l*_binary64
240×associate--l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031020
1334981
21169965
Stop Event
node limit
Counts
118 → 100
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 (exp.f64 b) 1)))))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 a 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 (exp.f64 b) 1)))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 (exp.f64 b) 1)))))))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 a 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))) (+.f64 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (+.f64 (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))) (*.f64 7/6 (/.f64 (pow.f64 a 3) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (exp.f64 b) 1)
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 1 (+.f64 (exp.f64 b) a))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (exp.f64 a))))
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (+.f64 (exp.f64 a) (*.f64 1/6 (pow.f64 b 3))))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 (exp.f64 b) 1)))))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 a 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))) (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 1 (exp.f64 b))))) (fma.f64 3/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 a (+.f64 1 (exp.f64 b)))) (-.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) a)) (fma.f64 3/2 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) a)) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) a)) (-.f64 (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 3/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 2 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 (exp.f64 b) 1)))) (/.f64 (pow.f64 a 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (+.f64 (exp.f64 b) 1)))))))) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 a 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))) (+.f64 (/.f64 (pow.f64 a 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (+.f64 (/.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))) (*.f64 7/6 (/.f64 (pow.f64 a 3) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))))))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 2 (/.f64 (pow.f64 a 3) (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 1 (exp.f64 b))))))) (fma.f64 3/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (+.f64 (/.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 (*.f64 7/6 (pow.f64 a 3)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (+.f64 (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) a)))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (fma.f64 7/6 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 3/2 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) a)) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 4)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (fma.f64 2 (pow.f64 (/.f64 a (+.f64 1 (exp.f64 b))) 3) (/.f64 a (+.f64 1 (exp.f64 b)))) (-.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) a)) (+.f64 (fma.f64 7/6 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 3/2 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 a)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)))) (fma.f64 1/2 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b))) (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (exp.f64 a)) (fma.f64 1/2 (/.f64 (*.f64 b (*.f64 b (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 a)))))
(-.f64 (fma.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) b)) (exp.f64 a) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (fma.f64 1/2 (/.f64 (*.f64 (exp.f64 a) (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)))) (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)))) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (fma.f64 1/2 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b))) (+.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) (exp.f64 a)))))))
(+.f64 (+.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (exp.f64 a)) (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (exp.f64 a))) (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 a)) (+.f64 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 a)) (fma.f64 1/2 (/.f64 (*.f64 b (*.f64 b (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (exp.f64 a)))))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) b)) (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (fma.f64 1/6 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 (*.f64 (exp.f64 a) (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (exp.f64 a) (+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 (exp.f64 b) 1)
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (exp.f64 b) (+.f64 1 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 (exp.f64 b) a)))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 1 (+.f64 (exp.f64 b) a))))
(fma.f64 1/2 (*.f64 a a) (fma.f64 1/6 (pow.f64 a 3) (+.f64 1 (+.f64 (exp.f64 b) a))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/6 (pow.f64 a 3) 1)))
(+.f64 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) a)) (fma.f64 1/6 (pow.f64 a 3) 1))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (exp.f64 a))))
(+.f64 (+.f64 1 b) (fma.f64 1/2 (*.f64 b b) (exp.f64 a)))
(+.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) (exp.f64 a))))
(+.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
(+.f64 1 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (+.f64 (exp.f64 a) (*.f64 1/6 (pow.f64 b 3))))))
(+.f64 (+.f64 1 b) (+.f64 (fma.f64 1/2 (*.f64 b b) (exp.f64 a)) (*.f64 1/6 (pow.f64 b 3))))
(+.f64 b (+.f64 (fma.f64 1/2 (*.f64 b b) (fma.f64 1/6 (pow.f64 b 3) (exp.f64 a))) 1))
(+.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) (fma.f64 1/6 (pow.f64 b 3) (exp.f64 a)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))

prune101.0ms (4.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh000
Picked101
Done000
Total983101
Error
0.4b
Counts
101 → 3
Alt Table
StatusErrorProgram
21.4b
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
11.5b
(/.f64 1 (+.f64 1 (exp.f64 b)))
0.5b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
Compiler

Compiled 2052 to 917 computations (55.3% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
0.0b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
0.5b
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

series13.0ms (0.7%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
b
@inf
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
2.0ms
a
@0
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
1.0ms
b
@0
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
1.0ms
a
@0
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
1.0ms
a
@inf
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)

rewrite51.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
485×prod-diff_binary64
449×log-prod_binary64
184×fma-def_binary64
167×expm1-udef_binary64
167×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
118926
2257626
Stop Event
node limit
Counts
2 → 83
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 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(exp.f64 b)) (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) (pow.f64 (exp.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 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a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))

simplify34.0ms (1.6%)

Algorithm
egg-herbie
Rules
821×times-frac_binary64
538×associate-/l*_binary64
413×fma-def_binary64
321×associate-/r*_binary64
182×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031160
13681117
212871082
Stop Event
node limit
Counts
131 → 114
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 b))
(-.f64 (+.f64 (exp.f64 b) 1) (*.f64 (exp.f64 b) a))
(-.f64 (+.f64 (exp.f64 b) (+.f64 1 (*.f64 1/2 (*.f64 (exp.f64 b) (pow.f64 a 2))))) (*.f64 (exp.f64 b) a))
(-.f64 (+.f64 (exp.f64 b) (+.f64 1 (*.f64 1/2 (*.f64 (exp.f64 b) (pow.f64 a 2))))) (+.f64 (*.f64 (exp.f64 b) a) (*.f64 1/6 (*.f64 (exp.f64 b) (pow.f64 a 3)))))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (/.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (/.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (+.f64 (/.f64 1 (exp.f64 a)) (*.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a)))))))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 1 (+.f64 (exp.f64 b) 1))
(+.f64 (/.f64 (*.f64 (exp.f64 b) a) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 a 2)) (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (+.f64 (/.f64 (*.f64 (exp.f64 b) a) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))) (/.f64 1 (+.f64 (exp.f64 b) 1)))) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 b) (pow.f64 a 2)) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 a 2)) (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3)) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (+.f64 (/.f64 (*.f64 (exp.f64 b) a) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))) (+.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)) (*.f64 1/6 (/.f64 (*.f64 (exp.f64 b) (pow.f64 a 3)) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 b) (pow.f64 a 2)) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))) (/.f64 (*.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 a 3)) (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 b) 1) 2)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
Outputs
(+.f64 1 (exp.f64 b))
(-.f64 (+.f64 (exp.f64 b) 1) (*.f64 (exp.f64 b) a))
(+.f64 (exp.f64 b) (-.f64 1 (*.f64 (exp.f64 b) a)))
(+.f64 1 (-.f64 (exp.f64 b) (*.f64 (exp.f64 b) a)))
(-.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) a))
(-.f64 (+.f64 (exp.f64 b) (+.f64 1 (*.f64 1/2 (*.f64 (exp.f64 b) (pow.f64 a 2))))) (*.f64 (exp.f64 b) a))
(-.f64 (+.f64 (+.f64 1 (exp.f64 b)) (*.f64 (*.f64 1/2 (exp.f64 b)) (*.f64 a a))) (*.f64 (exp.f64 b) a))
(+.f64 (exp.f64 b) (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 b) (*.f64 a a)) 1) (*.f64 (exp.f64 b) a)))
(+.f64 (+.f64 1 (exp.f64 b)) (*.f64 (exp.f64 b) (-.f64 (*.f64 1/2 (*.f64 a a)) a)))
(-.f64 (+.f64 (exp.f64 b) (+.f64 1 (*.f64 1/2 (*.f64 (exp.f64 b) (pow.f64 a 2))))) (+.f64 (*.f64 (exp.f64 b) a) (*.f64 1/6 (*.f64 (exp.f64 b) (pow.f64 a 3)))))
(-.f64 (+.f64 (+.f64 1 (exp.f64 b)) (*.f64 (*.f64 1/2 (exp.f64 b)) (*.f64 a a))) (fma.f64 (exp.f64 b) a (*.f64 1/6 (*.f64 (exp.f64 b) (pow.f64 a 3)))))
(+.f64 (exp.f64 b) (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 b) (*.f64 a a)) 1) (fma.f64 (exp.f64 b) a (*.f64 (exp.f64 b) (*.f64 (pow.f64 a 3) 1/6)))))
(+.f64 (exp.f64 b) (-.f64 (fma.f64 (exp.f64 b) (*.f64 (*.f64 a a) 1/2) 1) (*.f64 (exp.f64 b) (+.f64 a (*.f64 (pow.f64 a 3) 1/6)))))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (/.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a))))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (/.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (fma.f64 1/2 (/.f64 (*.f64 b b) (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(+.f64 1 (+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (exp.f64 a) b)) (exp.f64 (neg.f64 a))) (/.f64 b (exp.f64 a))))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (fma.f64 1/2 (/.f64 b (/.f64 (exp.f64 a) b)) 1)))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (+.f64 (/.f64 1 (exp.f64 a)) (*.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a)))))))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (fma.f64 1/2 (/.f64 (*.f64 b b) (exp.f64 a)) (exp.f64 (neg.f64 a))) (*.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a))))))
(+.f64 (fma.f64 1/2 (/.f64 b (/.f64 (exp.f64 a) b)) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a)) (exp.f64 (neg.f64 a)))) (+.f64 1 (/.f64 b (exp.f64 a))))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
(/.f64 1 (+.f64 (exp.f64 b) 1))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 (*.f64 (exp.f64 b) a) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) a)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a))
(fma.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a (/.f64 1 (+.f64 1 (exp.f64 b))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 a 2)) (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (+.f64 (/.f64 (*.f64 (exp.f64 b) a) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))) (/.f64 1 (+.f64 (exp.f64 b) 1)))) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 b) (pow.f64 a 2)) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (+.f64 1 (exp.f64 b))) (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) a))) (*.f64 1/2 (/.f64 (exp.f64 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a))))))
(+.f64 (+.f64 (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) (/.f64 (pow.f64 (exp.f64 b) 2) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (*.f64 a a)))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 (*.f64 (exp.f64 b) (*.f64 (*.f64 a a) 1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(fma.f64 (*.f64 (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) a) -1/2 (fma.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 a a) (fma.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a (/.f64 1 (+.f64 1 (exp.f64 b))))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 a 2)) (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 a 3)) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (pow.f64 (+.f64 (exp.f64 b) 1) 2))) (+.f64 (/.f64 (*.f64 (exp.f64 b) a) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1))) (+.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)) (*.f64 1/6 (/.f64 (*.f64 (exp.f64 b) (pow.f64 a 3)) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 b) (pow.f64 a 2)) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (exp.f64 b) 1)))) (/.f64 (*.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 a 3)) (*.f64 (+.f64 1 (exp.f64 b)) (pow.f64 (+.f64 (exp.f64 b) 1) 2)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (+.f64 1 (exp.f64 b))) (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) a))) (*.f64 1/6 (/.f64 (exp.f64 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (pow.f64 a 3)))))) (fma.f64 1/2 (/.f64 (exp.f64 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 a a))) (*.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (+.f64 1 (exp.f64 b))) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (*.f64 a a))) (-.f64 (+.f64 (fma.f64 1/6 (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 a 3)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 (exp.f64 b) 3)) (pow.f64 (+.f64 1 (exp.f64 b)) 4)))) (fma.f64 1/2 (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 a a)) (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 (exp.f64 b) 2)) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))))
(-.f64 (fma.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 a a) (fma.f64 (/.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (pow.f64 a 3) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b)) (fma.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a (/.f64 1 (+.f64 1 (exp.f64 b))))))) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) a) a) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (/.f64 (+.f64 1 (exp.f64 b)) a) 3))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)))) (fma.f64 1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (exp.f64 a)) (fma.f64 1/2 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 b b)) (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))))))
(-.f64 (*.f64 (+.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 b 2) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 b 3) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)))) (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)))) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (fma.f64 1/2 (/.f64 (*.f64 b b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (+.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (pow.f64 b 3) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 4) (exp.f64 a)))))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (exp.f64 a)) (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))))) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 a)) (+.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (fma.f64 1/2 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 b b)) (*.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (exp.f64 a))))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (exp.f64 a) (+.f64 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (fma.f64 1/6 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 b 3)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (*.f64 (exp.f64 a) (+.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

prune114.0ms (5.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1631164
Fresh112
Picked011
Done000
Total1643167
Error
0b
Counts
167 → 3
Alt Table
StatusErrorProgram
21.4b
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
24.4b
(pow.f64 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a)))) -1)
0.5b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
Compiler

Compiled 3213 to 1357 computations (57.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 a))
0.0b
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
0.5b
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
0.5b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

series13.0ms (0.6%)

Counts
4 → 28
Calls

15 calls:

TimeVariablePointExpression
3.0ms
b
@0
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
2.0ms
a
@0
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
1.0ms
a
@0
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
1.0ms
a
@inf
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
1.0ms
a
@-inf
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))

rewrite64.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
581×log-prod_binary64
198×expm1-udef_binary64
198×log1p-udef_binary64
168×log-pow_binary64
163×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01143
123541
2311941
Stop Event
node limit
Counts
4 → 172
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(pow.f64 (+.f64 1 (exp.f64 a)) 2)
(+.f64 1 (exp.f64 a))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (exp.f64 (fma.f64 2 (log1p.f64 (exp.f64 a)) (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 b (exp.f64 (fma.f64 2 (log1p.f64 (exp.f64 a)) (neg.f64 a)))))) (cbrt.f64 (exp.f64 (/.f64 b (exp.f64 (fma.f64 2 (log1p.f64 (exp.f64 a)) (neg.f64 a)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (exp.f64 (fma.f64 2 (log1p.f64 (exp.f64 a)) (neg.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (exp.f64 (fma.f64 2 (log1p.f64 (exp.f64 a)) (neg.f64 a))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (exp.f64 (fma.f64 2 (log1p.f64 (exp.f64 a)) (neg.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (exp.f64 (fma.f64 2 (log1p.f64 (exp.f64 a)) (neg.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (*.f64 b (pow.f64 (+.f64 (exp.f64 a) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) 1) (/.f64 b (pow.f64 (+.f64 (exp.f64 a) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (pow.f64 (+.f64 (exp.f64 a) 1) 2)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 a) b)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 (exp.f64 a) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 a) b)) 1) (/.f64 (sqrt.f64 (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 (exp.f64 a) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 a) b)) 2) (+.f64 (exp.f64 a) 1)) (/.f64 (cbrt.f64 (*.f64 (exp.f64 a) b)) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 4))) (/.f64 b (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 4))) (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 4))) (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 a) b)) 2) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 4))) (cbrt.f64 (/.f64 b (exp.f64 (fma.f64 2 (log1p.f64 (exp.f64 a)) (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 a) b)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 4))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 a) b)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 a) 1) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 a) 1) (*.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2)))))))) (#(struct:change #<rule egg-rr> 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a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (exp.f64 a) 1)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (+.f64 (exp.f64 a) 1)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 a) 1) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) 3))))) (#(struct:change #<rule 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a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)) (*.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)) (*.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) (*.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))) (*.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (*.f64 (+.f64 (exp.f64 a) 1) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 a) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))))

simplify39.0ms (1.9%)

Algorithm
egg-herbie
Rules
614×times-frac_binary64
572×cancel-sign-sub-inv_binary64
330×*-commutative_binary64
309×fma-def_binary64
303×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067474
1189432
2562400
31997400
44783400
Stop Event
node limit
Counts
200 → 204
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 (+.f64 1/2 (*.f64 1/4 a)) (*.f64 1/48 (pow.f64 a 3)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 1/480 (pow.f64 a 5)))) (*.f64 1/48 (pow.f64 a 3)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(*.f64 1/4 b)
(-.f64 (*.f64 1/4 b) (*.f64 1/16 (*.f64 (pow.f64 a 2) b)))
(-.f64 (+.f64 (*.f64 1/96 (*.f64 (pow.f64 a 4) b)) (*.f64 1/4 b)) (*.f64 1/16 (*.f64 (pow.f64 a 2) b)))
(-.f64 (+.f64 (*.f64 1/96 (*.f64 (pow.f64 a 4) b)) (*.f64 1/4 b)) (+.f64 (*.f64 17/11520 (*.f64 (pow.f64 a 6) b)) (*.f64 1/16 (*.f64 (pow.f64 a 2) b))))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
4
(+.f64 4 (*.f64 4 a))
(+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 4 (*.f64 4 a)))
(+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 (*.f64 5/3 (pow.f64 a 3)) (+.f64 4 (*.f64 4 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 2 a)))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(-.f64 (+.f64 1/2 (*.f64 1/4 a)) (*.f64 1/48 (pow.f64 a 3)))
(+.f64 1/2 (-.f64 (*.f64 1/4 a) (*.f64 1/48 (pow.f64 a 3))))
(+.f64 (fma.f64 1/4 a 1/2) (*.f64 (pow.f64 a 3) -1/48))
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 1/4 a 1/2))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 1/4 a) (*.f64 1/480 (pow.f64 a 5)))) (*.f64 1/48 (pow.f64 a 3)))
(+.f64 1/2 (-.f64 (fma.f64 1/4 a (*.f64 1/480 (pow.f64 a 5))) (*.f64 1/48 (pow.f64 a 3))))
(+.f64 1/2 (+.f64 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a)) (*.f64 (pow.f64 a 3) -1/48)))
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 b (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 a) 2))) (exp.f64 a)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2))))
(*.f64 (exp.f64 a) (/.f64 b (fma.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2) 1)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 b (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 a) 2))) (exp.f64 a)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2))))
(*.f64 (exp.f64 a) (/.f64 b (fma.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2) 1)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 b (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 a) 2))) (exp.f64 a)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2))))
(*.f64 (exp.f64 a) (/.f64 b (fma.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2) 1)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 b (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 a) 2))) (exp.f64 a)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2))))
(*.f64 (exp.f64 a) (/.f64 b (fma.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2) 1)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 b (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 a) 2))) (exp.f64 a)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2))))
(*.f64 (exp.f64 a) (/.f64 b (fma.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2) 1)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 b (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 a) 2))) (exp.f64 a)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2))))
(*.f64 (exp.f64 a) (/.f64 b (fma.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2) 1)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 b (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 a) 2))) (exp.f64 a)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2))))
(*.f64 (exp.f64 a) (/.f64 b (fma.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2) 1)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 2 (exp.f64 a)))))
(/.f64 b (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 a) 2))) (exp.f64 a)))
(/.f64 (*.f64 b (exp.f64 a)) (+.f64 1 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2))))
(*.f64 (exp.f64 a) (/.f64 b (fma.f64 (exp.f64 a) (+.f64 (exp.f64 a) 2) 1)))
(*.f64 1/4 b)
(-.f64 (*.f64 1/4 b) (*.f64 1/16 (*.f64 (pow.f64 a 2) b)))
(+.f64 (*.f64 1/4 b) (*.f64 -1/16 (*.f64 b (*.f64 a a))))
(*.f64 b (-.f64 1/4 (*.f64 1/16 (*.f64 a a))))
(*.f64 b (+.f64 1/4 (*.f64 a (*.f64 a -1/16))))
(-.f64 (+.f64 (*.f64 1/96 (*.f64 (pow.f64 a 4) b)) (*.f64 1/4 b)) (*.f64 1/16 (*.f64 (pow.f64 a 2) b)))
(+.f64 (fma.f64 1/96 (*.f64 b (pow.f64 a 4)) (*.f64 1/4 b)) (*.f64 -1/16 (*.f64 b (*.f64 a a))))
(fma.f64 1/96 (*.f64 b (pow.f64 a 4)) (*.f64 b (-.f64 1/4 (*.f64 1/16 (*.f64 a a)))))
(*.f64 b (-.f64 (fma.f64 1/96 (pow.f64 a 4) 1/4) (*.f64 1/16 (*.f64 a a))))
(*.f64 b (+.f64 (*.f64 a (*.f64 a -1/16)) (fma.f64 1/96 (pow.f64 a 4) 1/4)))
(-.f64 (+.f64 (*.f64 1/96 (*.f64 (pow.f64 a 4) b)) (*.f64 1/4 b)) (+.f64 (*.f64 17/11520 (*.f64 (pow.f64 a 6) b)) (*.f64 1/16 (*.f64 (pow.f64 a 2) b))))
(-.f64 (fma.f64 1/96 (*.f64 b (pow.f64 a 4)) (*.f64 1/4 b)) (fma.f64 17/11520 (*.f64 b (pow.f64 a 6)) (*.f64 1/16 (*.f64 b (*.f64 a a)))))
(-.f64 (*.f64 b (+.f64 1/4 (*.f64 1/96 (pow.f64 a 4)))) (*.f64 b (+.f64 (*.f64 17/11520 (pow.f64 a 6)) (*.f64 1/16 (*.f64 a a)))))
(*.f64 b (-.f64 (fma.f64 1/96 (pow.f64 a 4) 1/4) (fma.f64 1/16 (*.f64 a a) (*.f64 17/11520 (pow.f64 a 6)))))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)))
(/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)))
4
(+.f64 4 (*.f64 4 a))
(+.f64 4 (*.f64 a 4))
(fma.f64 a 4 4)
(+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 4 (*.f64 4 a)))
(fma.f64 3 (*.f64 a a) (+.f64 4 (*.f64 a 4)))
(fma.f64 3 (*.f64 a a) (fma.f64 a 4 4))
(fma.f64 a 4 (fma.f64 3 (*.f64 a a) 4))
(+.f64 (*.f64 3 (pow.f64 a 2)) (+.f64 (*.f64 5/3 (pow.f64 a 3)) (+.f64 4 (*.f64 4 a))))
(fma.f64 3 (*.f64 a a) (fma.f64 5/3 (pow.f64 a 3) (+.f64 4 (*.f64 a 4))))
(fma.f64 3 (*.f64 a a) (fma.f64 (pow.f64 a 3) 5/3 (fma.f64 a 4 4)))
(fma.f64 a (*.f64 a 3) (fma.f64 (pow.f64 a 3) 5/3 (fma.f64 a 4 4)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 2 a)))
(fma.f64 1/2 (*.f64 a a) (fma.f64 1/6 (pow.f64 a 3) (+.f64 a 2)))
(fma.f64 1/2 (*.f64 a a) (+.f64 a (fma.f64 (pow.f64 a 3) 1/6 2)))
(+.f64 a (fma.f64 1/2 (*.f64 a a) (fma.f64 (pow.f64 a 3) 1/6 2)))
(+.f64 (fma.f64 1/2 (*.f64 a a) 2) (fma.f64 (pow.f64 a 3) 1/6 a))

prune185.0ms (9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2480248
Fresh011
Picked011
Done011
Total2483251
Error
0b
Counts
251 → 3
Alt Table
StatusErrorProgram
21.4b
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
24.4b
(pow.f64 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a)))) -1)
0.5b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
Compiler

Compiled 6228 to 3224 computations (48.2% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 b (exp.f64 a))
0.0b
(+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a))))
0.0b
(pow.f64 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a)))) -1)

series18.0ms (0.9%)

Counts
3 → 52
Calls

18 calls:

TimeVariablePointExpression
5.0ms
b
@inf
(pow.f64 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a)))) -1)
2.0ms
a
@0
(pow.f64 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a)))) -1)
2.0ms
b
@inf
(+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a))))
1.0ms
a
@inf
(pow.f64 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a)))) -1)
1.0ms
a
@-inf
(pow.f64 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a)))) -1)

rewrite57.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
469×fma-def_binary64
227×fma-neg_binary64
190×expm1-udef_binary64
190×log1p-udef_binary64
128×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01241
125433
2358033
Stop Event
node limit
Counts
3 → 135
Calls
Call 1
Inputs
(pow.f64 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a)))) -1)
(+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a))))
(/.f64 b (exp.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)) -1/2) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))) -1) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (fma.f64 (exp.f64 a) b 1) 3))) (fma.f64 (fma.f64 (exp.f64 a) b 1) (-.f64 (fma.f64 (exp.f64 a) b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (fma.f64 (exp.f64 a) b 1) 2))) (-.f64 (expm1.f64 a) (*.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)) -1/2) (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 a) b (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 a) b (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (expm1.f64 a) (*.f64 (exp.f64 a) b))) (/.f64 (pow.f64 (fma.f64 (exp.f64 a) b 1) 2) (-.f64 (expm1.f64 a) (*.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))) (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (fma.f64 (exp.f64 a) b 1) 3)) (/.f64 1 (fma.f64 (fma.f64 (exp.f64 a) b 1) (-.f64 (fma.f64 (exp.f64 a) b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (fma.f64 (exp.f64 a) b 1) 2)) (/.f64 1 (-.f64 (expm1.f64 a) (*.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 (exp.f64 a) b 1) (-.f64 (fma.f64 (exp.f64 a) b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (fma.f64 (exp.f64 a) b 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (expm1.f64 a) (*.f64 (exp.f64 a) b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (fma.f64 (exp.f64 a) b 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (fma.f64 (exp.f64 a) b 1) 3)) (fma.f64 (fma.f64 (exp.f64 a) b 1) (-.f64 (fma.f64 (exp.f64 a) b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (fma.f64 (exp.f64 a) b 1) 3)) (+.f64 (pow.f64 (fma.f64 (exp.f64 a) b 1) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 a) (fma.f64 (exp.f64 a) b 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (fma.f64 (exp.f64 a) b 1) 2)) (-.f64 (expm1.f64 a) (*.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (fma.f64 (exp.f64 a) b 1) 3))) (neg.f64 (fma.f64 (fma.f64 (exp.f64 a) b 1) (-.f64 (fma.f64 (exp.f64 a) b 1) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (fma.f64 (exp.f64 a) b 1) 2))) (neg.f64 (-.f64 (expm1.f64 a) (*.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 (*.f64 (exp.f64 a) b) (fma.f64 (exp.f64 a) b -1) 1) (*.f64 (exp.f64 a) (+.f64 1 (pow.f64 (*.f64 (exp.f64 a) b) 3)))) (*.f64 (exp.f64 a) (fma.f64 (*.f64 (exp.f64 a) b) (fma.f64 (exp.f64 a) b -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 1 (*.f64 (exp.f64 a) b)) (*.f64 (exp.f64 a) (-.f64 1 (pow.f64 (*.f64 (exp.f64 a) b) 2)))) (*.f64 (exp.f64 a) (-.f64 1 (*.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 1 (pow.f64 (*.f64 (exp.f64 a) b) 3)) (exp.f64 a) (*.f64 (fma.f64 (*.f64 (exp.f64 a) b) (fma.f64 (exp.f64 a) b -1) 1) 1)) (*.f64 (fma.f64 (*.f64 (exp.f64 a) b) (fma.f64 (exp.f64 a) b -1) 1) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (pow.f64 (*.f64 (exp.f64 a) b) 2)) (exp.f64 a) (*.f64 (-.f64 1 (*.f64 (exp.f64 a) b)) 1)) (*.f64 (-.f64 1 (*.f64 (exp.f64 a) b)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 (*.f64 (exp.f64 a) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (exp.f64 a) b 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 a) b)) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 a) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 a) b)) 2) (cbrt.f64 (*.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 a) b)) (sqrt.f64 (*.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (/.f64 b (sqrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (neg.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (/.f64 b (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (cbrt.f64 (*.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (exp.f64 a))) (/.f64 (cbrt.f64 b) (sqrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (cbrt.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (sqrt.f64 (exp.f64 a))) (sqrt.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 a) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 a) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 a) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 a) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 a) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (exp.f64 a) b 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (exp.f64 a) b 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (exp.f64 a) b 1)) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 a) b 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 a) b 1) 2)) (cbrt.f64 (fma.f64 (exp.f64 a) b 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (exp.f64 a) b 1)) (sqrt.f64 (fma.f64 (exp.f64 a) b 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (exp.f64 a) b) 3)) (/.f64 1 (fma.f64 (*.f64 (exp.f64 a) b) (fma.f64 (exp.f64 a) b -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 (exp.f64 a) b) 2)) (/.f64 1 (-.f64 1 (*.f64 (exp.f64 a) b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (exp.f64 a) b)) 1))))))

simplify44.0ms (2.2%)

Algorithm
egg-herbie
Rules
920×fma-def_binary64
254×cancel-sign-sub-inv_binary64
178×associate-/l/_binary64
151×sub-neg_binary64
150×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01631907
15111891
222021665
Stop Event
node limit
Counts
187 → 178
Calls
Call 1
Inputs
(/.f64 1 (+.f64 2 b))
(+.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 (*.f64 a b) (pow.f64 (+.f64 2 b) 2)) (/.f64 1 (+.f64 2 b))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) b) (pow.f64 (+.f64 2 b) 3))) (+.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 (*.f64 a b) (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (+.f64 2 b) 3)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 3)) (/.f64 1 (+.f64 2 b))))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) b) (pow.f64 (+.f64 2 b) 2))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 2)))))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 a 3) b) (pow.f64 (+.f64 2 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (+.f64 2 b) 3)) (+.f64 (*.f64 3 (/.f64 (*.f64 (pow.f64 a 3) b) (pow.f64 (+.f64 2 b) 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) b) (pow.f64 (+.f64 2 b) 3))) (+.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 1 (+.f64 2 b)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 3)) (+.f64 (*.f64 3 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 b 2)) (pow.f64 (+.f64 2 b) 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 2))) (+.f64 (/.f64 (*.f64 a b) (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 4)) (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 b 3)) (pow.f64 (+.f64 2 b) 4))))))))))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 3) b) (pow.f64 (+.f64 2 b) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) b) (pow.f64 (+.f64 2 b) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 b 2)) (pow.f64 (+.f64 2 b) 3)) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3)))))))
(/.f64 1 (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (*.f64 -1 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (*.f64 -1 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (*.f64 -1 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (*.f64 -1 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 b (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 a))))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3) (pow.f64 (exp.f64 a) 2)))) (/.f64 b (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 a))))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3) (pow.f64 (exp.f64 a) 2)))) (+.f64 (/.f64 b (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 a))) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 4) (pow.f64 (exp.f64 a) 3)))))
(/.f64 (exp.f64 a) b)
(-.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2)) (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3))) (/.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3))))) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2)) (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3)) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3))))) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2)) (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 2)) (+.f64 (*.f64 3 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) 4)) (pow.f64 b 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 a)) 3) (pow.f64 (exp.f64 a) 4)) (pow.f64 b 4)) (+.f64 (*.f64 3 (/.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (exp.f64 a) 4)) (pow.f64 b 4))) (/.f64 (pow.f64 (exp.f64 a) 4) (pow.f64 b 4))))))))
(/.f64 (exp.f64 a) b)
(-.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2)) (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3))) (/.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3))))) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2)) (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 2 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (exp.f64 a) 3)) (pow.f64 b 3)) (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 b 3))))) (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) 2)) (pow.f64 b 2)) (+.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 b 2)) (+.f64 (*.f64 3 (/.f64 (*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 a) 4)) (pow.f64 b 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 a)) 3) (pow.f64 (exp.f64 a) 4)) (pow.f64 b 4)) (+.f64 (*.f64 3 (/.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (exp.f64 a) 4)) (pow.f64 b 4))) (/.f64 (pow.f64 (exp.f64 a) 4) (pow.f64 b 4))))))))
(+.f64 2 b)
(-.f64 (+.f64 2 b) (+.f64 (*.f64 a b) a))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 (pow.f64 a 2) b))))) (+.f64 (*.f64 a b) a))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 (pow.f64 a 2) b))))) (+.f64 (*.f64 a b) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 a (*.f64 1/6 (*.f64 (pow.f64 a 3) b))))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (*.f64 -1 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (*.f64 -1 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (*.f64 -1 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (*.f64 -1 a))))
(+.f64 1 (exp.f64 (neg.f64 a)))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 b (exp.f64 a))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
(/.f64 b (exp.f64 a))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
b
(-.f64 b (*.f64 a b))
(-.f64 (+.f64 b (*.f64 1/2 (*.f64 (pow.f64 a 2) b))) (*.f64 a b))
(-.f64 (+.f64 b (*.f64 1/2 (*.f64 (pow.f64 a 2) b))) (+.f64 (*.f64 a b) (*.f64 1/6 (*.f64 (pow.f64 a 3) b))))
Outputs
(/.f64 1 (+.f64 2 b))
(+.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 (*.f64 a b) (pow.f64 (+.f64 2 b) 2)) (/.f64 1 (+.f64 2 b))))
(+.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 2) b))))
(+.f64 (/.f64 1 (+.f64 2 b)) (+.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) (*.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) b)))
(fma.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) b (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 a (pow.f64 (+.f64 2 b) 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) b) (pow.f64 (+.f64 2 b) 3))) (+.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 (*.f64 a b) (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (+.f64 2 b) 3)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 3)) (/.f64 1 (+.f64 2 b))))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) b) (pow.f64 (+.f64 2 b) 2))) (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 2)))))
(-.f64 (fma.f64 2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (+.f64 2 b) 3) b)) (+.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 2) b)) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 (+.f64 2 b) 3)) (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 (*.f64 a a) (pow.f64 (+.f64 2 b) 3))))))) (*.f64 1/2 (+.f64 (/.f64 (*.f64 b (*.f64 a a)) (pow.f64 (+.f64 2 b) 2)) (/.f64 (*.f64 a a) (pow.f64 (+.f64 2 b) 2)))))
(fma.f64 2 (/.f64 a (/.f64 (/.f64 (pow.f64 (+.f64 2 b) 3) b) a)) (+.f64 (+.f64 (+.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 3) a)) (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (pow.f64 (+.f64 2 b) 3)))) (+.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) (*.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) b))) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 b (*.f64 a a)) (pow.f64 (+.f64 2 b) 2)) (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 2) a))))))
(+.f64 (+.f64 (+.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) (+.f64 (fma.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 3) a)) (*.f64 b b) (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 3) a))) (fma.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) b (/.f64 1 (+.f64 2 b))))) (*.f64 (/.f64 (*.f64 b (*.f64 a a)) (pow.f64 (+.f64 2 b) 2)) (-.f64 (/.f64 2 (+.f64 2 b)) 1/2))) (*.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 2) a)) -1/2))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 a 3) b) (pow.f64 (+.f64 2 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 (+.f64 2 b) 3)) (+.f64 (*.f64 3 (/.f64 (*.f64 (pow.f64 a 3) b) (pow.f64 (+.f64 2 b) 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 2) b) (pow.f64 (+.f64 2 b) 3))) (+.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 1 (+.f64 2 b)) (+.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 3)) (+.f64 (*.f64 3 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 b 2)) (pow.f64 (+.f64 2 b) 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 2))) (+.f64 (/.f64 (*.f64 a b) (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 4)) (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 b 3)) (pow.f64 (+.f64 2 b) 4))))))))))))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 a 3) b) (pow.f64 (+.f64 2 b) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a 2) b) (pow.f64 (+.f64 2 b) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 2 b) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 b 2)) (pow.f64 (+.f64 2 b) 3)) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3)))))))
(-.f64 (fma.f64 1/6 (/.f64 (*.f64 b (pow.f64 a 3)) (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 (+.f64 2 b) 3)) (fma.f64 3 (/.f64 (*.f64 b (pow.f64 a 3)) (pow.f64 (+.f64 2 b) 4)) (fma.f64 2 (/.f64 (*.f64 a a) (/.f64 (pow.f64 (+.f64 2 b) 3) b)) (+.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 1 (+.f64 2 b)) (+.f64 (/.f64 (*.f64 a a) (pow.f64 (+.f64 2 b) 3)) (fma.f64 3 (/.f64 (*.f64 (*.f64 b b) (pow.f64 a 3)) (pow.f64 (+.f64 2 b) 4)) (fma.f64 1/6 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 2) b)) (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 4)) (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 b 3)) (pow.f64 (+.f64 2 b) 4))))))))))))) (fma.f64 2 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (+.f64 2 b) 3) b)) (fma.f64 1/2 (/.f64 (*.f64 b (*.f64 a a)) (pow.f64 (+.f64 2 b) 2)) (fma.f64 1/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 (*.f64 (*.f64 b b) (pow.f64 a 3)) (pow.f64 (+.f64 2 b) 3)) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3)))))))
(+.f64 (fma.f64 1/6 (/.f64 (*.f64 b (pow.f64 a 3)) (pow.f64 (+.f64 2 b) 2)) (/.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (pow.f64 (+.f64 2 b) 3))) (-.f64 (fma.f64 3 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 4)) b) (+.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 3) a))) (fma.f64 3 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 4)) (*.f64 b b)) (+.f64 (+.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 4)) (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 b 3)) (pow.f64 (+.f64 2 b) 4))) (fma.f64 1/6 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 2)) (*.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) b))))) (fma.f64 2 (/.f64 a (/.f64 (/.f64 (pow.f64 (+.f64 2 b) 3) b) a)) (/.f64 a (pow.f64 (+.f64 2 b) 2))))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3)) b) (fma.f64 1/2 (+.f64 (/.f64 (*.f64 b (*.f64 a a)) (pow.f64 (+.f64 2 b) 2)) (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 2) a))) (+.f64 (/.f64 (*.f64 (*.f64 b b) (pow.f64 a 3)) (pow.f64 (+.f64 2 b) 3)) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 3)))))))
(-.f64 (+.f64 (fma.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 3) a)) (*.f64 b b) (fma.f64 3 (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 (+.f64 2 b) 4) b)) (+.f64 (+.f64 (fma.f64 2 (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 b a))) (/.f64 a (pow.f64 (+.f64 2 b) 2))) (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 3) a)))) (fma.f64 3 (/.f64 (*.f64 b (*.f64 b (pow.f64 a 3))) (pow.f64 (+.f64 2 b) 4)) (+.f64 (fma.f64 (/.f64 a (pow.f64 (+.f64 2 b) 2)) b (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 4))) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 2 b) 2)) (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 b) 2)) 1/6))))))) (*.f64 (/.f64 (*.f64 b (pow.f64 a 3)) (pow.f64 (+.f64 2 b) 2)) (-.f64 1/6 (/.f64 2 (+.f64 2 b))))) (fma.f64 1/2 (fma.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 2) a)) b (/.f64 a (/.f64 (pow.f64 (+.f64 2 b) 2) a))) (fma.f64 (pow.f64 (/.f64 a (+.f64 2 b)) 3) (*.f64 b b) (pow.f64 (/.f64 a (+.f64 2 b)) 3))))
(/.f64 1 (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (*.f64 -1 a)))))
(/.f64 1 (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (*.f64 -1 a)))))
(/.f64 1 (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (*.f64 -1 a)))))
(/.f64 1 (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (*.f64 -1 a)))))
(/.f64 1 (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 b (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 a))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (exp.f64 a)))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3) (pow.f64 (exp.f64 a) 2)))) (/.f64 b (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 a))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (-.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3) (pow.f64 (exp.f64 a) 2))) (/.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (exp.f64 a))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (-.f64 (*.f64 (/.f64 b (pow.f64 (exp.f64 a) 2)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))
(-.f64 (fma.f64 (/.f64 b (pow.f64 (exp.f64 a) 2)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3) (pow.f64 (exp.f64 a) 2)))) (+.f64 (/.f64 b (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 a))) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 4) (pow.f64 (exp.f64 a) 3)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (-.f64 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3) (pow.f64 (exp.f64 a) 2))) (+.f64 (/.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (exp.f64 a)) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 4) (pow.f64 (exp.f64 a) 3))))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (-.f64 (-.f64 (*.f64 (/.f64 b (pow.f64 (exp.f64 a) 2)) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 4) (pow.f64 (exp.f64 a) 3)))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))
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(/.f64 (exp.f64 a) b)
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(+.f64 2 b)
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(/.f64 b (exp.f64 a))
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b
(-.f64 b (*.f64 a b))
(-.f64 b (*.f64 b a))
(fma.f64 b (neg.f64 a) b)
(-.f64 (+.f64 b (*.f64 1/2 (*.f64 (pow.f64 a 2) b))) (*.f64 a b))
(-.f64 (+.f64 b (*.f64 (*.f64 b (*.f64 a a)) 1/2)) (*.f64 b a))
(+.f64 b (*.f64 b (-.f64 (*.f64 a (*.f64 a 1/2)) a)))
(*.f64 b (-.f64 (fma.f64 (*.f64 a a) 1/2 1) a))
(-.f64 (+.f64 b (*.f64 1/2 (*.f64 (pow.f64 a 2) b))) (+.f64 (*.f64 a b) (*.f64 1/6 (*.f64 (pow.f64 a 3) b))))
(-.f64 (+.f64 b (*.f64 (*.f64 b (*.f64 a a)) 1/2)) (fma.f64 a b (*.f64 1/6 (*.f64 b (pow.f64 a 3)))))
(-.f64 (fma.f64 (*.f64 b (*.f64 a a)) 1/2 b) (*.f64 b (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 b (*.f64 b (-.f64 (*.f64 (*.f64 a a) 1/2) (fma.f64 1/6 (pow.f64 a 3) a))))

prune131.0ms (6.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1780178
Fresh000
Picked011
Done022
Total1783181
Error
0b
Counts
181 → 3
Alt Table
StatusErrorProgram
21.4b
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))
24.4b
(pow.f64 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a)))) -1)
0.5b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
Compiler

Compiled 4064 to 2290 computations (43.7% saved)

regimes166.0ms (8.1%)

Accuracy

Total 0.4b remaining (63.9%)

Threshold costs 0.4b (63.9%)

Counts
98 → 1
Compiler

Compiled 1383 to 630 computations (54.4% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11017
Stop Event
saturated
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

end59.0ms (2.9%)

Stop Event
done
Compiler

Compiled 71 to 48 computations (32.4% saved)

Profiling

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