Details

Time bar (total: 2.2s)

analyze51.0ms (2.3%)

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)

sample796.0ms (35.5%)

Results
780.0ms8256×body128valid
3.0ms38×body128invalid
Compiler

Compiled 22 to 14 computations (36.4% saved)

preprocess15.0ms (0.7%)

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
0.8b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.8b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
0.7b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series9.0ms (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)))

rewrite47.0ms (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 expm1.f64 (log1p.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 -.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 log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 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))))))

simplify33.0ms (1.5%)

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))

prune103.0ms (4.6%)

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
11.8b
(/.f64 1 (+.f64 1 (exp.f64 b)))
1.3b
(*.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)))))
0.8b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
Compiler

Compiled 2050 to 911 computations (55.6% 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)
0.7b
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

series12.0ms (0.6%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
1.0ms
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)

rewrite53.0ms (2.3%)

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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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) 1))))))
((#(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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(+.f64 (exp.f64 a) (exp.f64 b)))) 1))))))

simplify41.0ms (1.9%)

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)))

prune146.0ms (6.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1631164
Fresh022
Picked101
Done000
Total1643167
Error
0b
Counts
167 → 3
Alt Table
StatusErrorProgram
11.8b
(/.f64 1 (+.f64 1 (exp.f64 b)))
1.3b
(*.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)))))
24.8b
(pow.f64 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a)))) -1)
Compiler

Compiled 3215 to 1357 computations (57.8% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
0.4b
(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
1.0b
(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
1.1b
(*.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)))))

series27.0ms (1.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
a
@0
(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.0ms
a
@inf
(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.0ms
a
@-inf
(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.0ms
b
@0
(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.0ms
a
@0
(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite69.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
522×prod-diff_binary64
193×expm1-udef_binary64
193×log1p-udef_binary64
190×fma-def_binary64
122×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01151
122849
2312549
Stop Event
node limit
Counts
4 → 147
Calls
Call 1
Inputs
(*.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)))))
(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)) a))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) -1) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (exp.f64 b) 3))) (sqrt.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.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)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.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))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))))

simplify71.0ms (3.2%)

Algorithm
egg-herbie
Rules
815×times-frac_binary64
367×fma-def_binary64
307×fma-neg_binary64
199×+-commutative_binary64
196×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02843515
110663315
236613310
Stop Event
node limit
Counts
243 → 209
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)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) a) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 a (+.f64 (exp.f64 b) 1)))))
(-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) a) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (pow.f64 a 2))) (+.f64 (*.f64 3/8 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (pow.f64 a 2) (+.f64 (exp.f64 b) 1)))) (+.f64 (*.f64 1/4 (*.f64 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b))) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 a (+.f64 (exp.f64 b) 1)))))))
(-.f64 (+.f64 (*.f64 3/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 (exp.f64 b) 1) 2)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (pow.f64 a 2))) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (pow.f64 a 3))) (+.f64 (*.f64 7/8 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) a) (*.f64 3/8 (*.f64 (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))))))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (pow.f64 a 2) (+.f64 (exp.f64 b) 1)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 b) 1) 3))))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 (pow.f64 a 3) (+.f64 (exp.f64 b) 1)))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 a (+.f64 (exp.f64 b) 1)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (pow.f64 a 3) (+.f64 (exp.f64 b) 1)))) (*.f64 1/4 (*.f64 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b))) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))))))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (exp.f64 a))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (exp.f64 a)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 b (exp.f64 a)))))
(-.f64 (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 5))) (*.f64 (pow.f64 b 2) (exp.f64 a)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (exp.f64 a))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 (pow.f64 b 2) (exp.f64 a)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 (exp.f64 a) b)))))
(-.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (exp.f64 a)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 5))) (*.f64 (pow.f64 b 3) (exp.f64 a)))) (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 5))) (*.f64 (exp.f64 a) (pow.f64 b 2)))))) (+.f64 (*.f64 5/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 7))) (*.f64 (pow.f64 b 3) (exp.f64 a)))) (+.f64 (*.f64 1/12 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 (pow.f64 b 3) (exp.f64 a)))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 (exp.f64 a) (pow.f64 b 2)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 (exp.f64 a) b)))))))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))) (exp.f64 a))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))
(-.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (*.f64 1/2 (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 (exp.f64 b) 1) 2))))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (pow.f64 a 2) (+.f64 (exp.f64 b) 1)))) (*.f64 1/2 (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1)))))))
(-.f64 (+.f64 (*.f64 3/16 (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 b) 1) 3))))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 (exp.f64 b) 1) 2)))) (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (pow.f64 a 2) (pow.f64 (+.f64 (exp.f64 b) 1) 2))))))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (pow.f64 a 2) (+.f64 (exp.f64 b) 1)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 (exp.f64 b) 1) 2)))) (+.f64 (*.f64 1/8 (*.f64 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 b) 1) 3))))) (+.f64 (*.f64 1/12 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (pow.f64 a 3) (+.f64 (exp.f64 b) 1)))) (*.f64 1/2 (*.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))))))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))
(-.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) b)))
(-.f64 (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 5))) (pow.f64 b 2)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) b)) (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 b 2)))))
(-.f64 (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 5))) (pow.f64 b 3))) (+.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 5))) (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) b)) (+.f64 (*.f64 1/12 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 b 3))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 b 2))) (*.f64 5/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 7))) (pow.f64 b 3)))))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(sqrt.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) a)) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) a)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 a 2) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))) (*.f64 1/8 (*.f64 (pow.f64 a 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 b) 1) 3))))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) a)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 (pow.f64 a 3) (+.f64 (exp.f64 b) 1)))) (+.f64 (*.f64 1/12 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))) (pow.f64 a 3))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 a 2) (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 b) 1))))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 a 2) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (exp.f64 b) 1) 3))))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (pow.f64 a 3) (+.f64 (exp.f64 b) 1))))))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b)))
(-.f64 (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (pow.f64 b 2))) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b)))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (pow.f64 b 2))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 5))) (pow.f64 b 3))) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b)))))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 b 3))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 b 2)))))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.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 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 (/.f64 1 (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (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 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 a (+.f64 1 (exp.f64 b))))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (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 (*.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) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))))) (fma.f64 3/2 (/.f64 (*.f64 a a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (/.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (/.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))) (+.f64 (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 2 (pow.f64 (/.f64 a (+.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 (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 (exp.f64 a) (/.f64 (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 (*.f64 b b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (*.f64 (exp.f64 a) (*.f64 b b)) (pow.f64 (+.f64 1 (exp.f64 a)) 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 (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))))))
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(fma.f64 1/4 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 (*.f64 -1/8 (*.f64 b b)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(+.f64 (fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (fma.f64 (*.f64 b b) (*.f64 1/4 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (*.f64 (*.f64 -1/8 (*.f64 b b)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(-.f64 (+.f64 (*.f64 1/12 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (pow.f64 b 2))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 5))) (pow.f64 b 3))) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) b)))))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 b 3))) (*.f64 1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (pow.f64 b 2)))))
(-.f64 (fma.f64 1/12 (*.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (fma.f64 1/4 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (fma.f64 1/16 (*.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 5)))) (+.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) b))))) (*.f64 1/8 (+.f64 (*.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))))
(+.f64 (fma.f64 1/12 (*.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (fma.f64 1/4 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (fma.f64 (*.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 5)))) 1/16 (fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (exp.f64 a))))))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (pow.f64 b 3) (*.f64 b b)))))
(+.f64 (fma.f64 1/4 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (fma.f64 (*.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 5)))) 1/16 (fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (sqrt.f64 (+.f64 1 (exp.f64 a)))))) (fma.f64 (pow.f64 b 3) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) 1/12) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (pow.f64 b 3) (*.f64 b b))))))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

prune193.0ms (8.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2560256
Fresh022
Picked011
Done000
Total2563259
Error
0b
Counts
259 → 3
Alt Table
StatusErrorProgram
11.8b
(/.f64 1 (+.f64 1 (exp.f64 b)))
1.3b
(*.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)))))
24.8b
(pow.f64 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a)))) -1)
Compiler

Compiled 8519 to 4051 computations (52.4% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 b))
0.0b
(/.f64 1 (+.f64 1 (exp.f64 b)))

series4.0ms (0.2%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
b
@-inf
(+.f64 1 (exp.f64 b))
1.0ms
b
@0
(/.f64 1 (+.f64 1 (exp.f64 b)))
1.0ms
b
@inf
(/.f64 1 (+.f64 1 (exp.f64 b)))
1.0ms
b
@-inf
(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0ms
b
@0
(+.f64 1 (exp.f64 b))

rewrite37.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
596×pow1_binary64
554×add-log-exp_binary64
554×log1p-expm1-u_binary64
554×expm1-log1p-u_binary64
62×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
112415
2156115
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 b 3)))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (*.f64 b 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (/.f64 1 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (exp.f64 (*.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 b 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 b 3))) (+.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 b 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (+.f64 b b)) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 b b))) (cbrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)))))

simplify27.0ms (1.2%)

Algorithm
egg-herbie
Rules
1075×fma-neg_binary64
445×unswap-sqr_binary64
346×fma-def_binary64
328×cancel-sign-sub-inv_binary64
204×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02985
17979
221173
366466
4178066
5345366
Stop Event
node limit
Counts
67 → 73
Calls
Call 1
Inputs
1/2
(-.f64 1/2 (*.f64 1/4 b))
(-.f64 (+.f64 1/2 (*.f64 1/48 (pow.f64 b 3))) (*.f64 1/4 b))
(-.f64 (+.f64 1/2 (*.f64 1/48 (pow.f64 b 3))) (+.f64 (*.f64 1/480 (pow.f64 b 5)) (*.f64 1/4 b)))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (*.f64 1/6 (pow.f64 b 3)))))
Outputs
1/2
(-.f64 1/2 (*.f64 1/4 b))
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 b -1/4 1/2)
(-.f64 (+.f64 1/2 (*.f64 1/48 (pow.f64 b 3))) (*.f64 1/4 b))
(+.f64 1/2 (-.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 b -1/4)))
(fma.f64 b -1/4 (fma.f64 1/48 (pow.f64 b 3) 1/2))
(-.f64 (+.f64 1/2 (*.f64 1/48 (pow.f64 b 3))) (+.f64 (*.f64 1/480 (pow.f64 b 5)) (*.f64 1/4 b)))
(+.f64 1/2 (-.f64 (*.f64 1/48 (pow.f64 b 3)) (fma.f64 1/480 (pow.f64 b 5) (*.f64 1/4 b))))
(-.f64 (fma.f64 1/48 (pow.f64 b 3) 1/2) (fma.f64 1/4 b (*.f64 1/480 (pow.f64 b 5))))
(fma.f64 1/48 (pow.f64 b 3) (-.f64 (fma.f64 b -1/4 1/2) (*.f64 1/480 (pow.f64 b 5))))
(fma.f64 (pow.f64 b 5) -1/480 (fma.f64 b -1/4 (fma.f64 1/48 (pow.f64 b 3) 1/2)))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 5) -1/480 (fma.f64 1/48 (pow.f64 b 3) 1/2)))
(fma.f64 b -1/4 (fma.f64 1/48 (pow.f64 b 3) (fma.f64 (pow.f64 b 5) -1/480 1/2)))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(+.f64 2 (+.f64 b (+.f64 (*.f64 1/2 (pow.f64 b 2)) (*.f64 1/6 (pow.f64 b 3)))))
(+.f64 (+.f64 b 2) (fma.f64 1/2 (*.f64 b b) (*.f64 (pow.f64 b 3) 1/6)))
(+.f64 b (+.f64 2 (fma.f64 1/2 (*.f64 b b) (*.f64 (pow.f64 b 3) 1/6))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 (pow.f64 b 3) 1/6 2))
(+.f64 b (fma.f64 b (*.f64 b (fma.f64 b 1/6 1/2)) 2))

prune51.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh011
Picked011
Done011
Total73376
Error
0b
Counts
76 → 3
Alt Table
StatusErrorProgram
11.8b
(/.f64 1 (+.f64 1 (exp.f64 b)))
1.3b
(*.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)))))
24.8b
(pow.f64 (+.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (/.f64 b (exp.f64 a)))) -1)
Compiler

Compiled 828 to 586 computations (29.2% saved)

regimes363.0ms (16.2%)

Accuracy

Total 0.5b remaining (84.9%)

Threshold costs 0.5b (84.9%)

Counts
164 → 1
Compiler

Compiled 2024 to 813 computations (59.8% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
*-rgt-identity_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11815
22215
32415
42515
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
Outputs
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

end56.0ms (2.5%)

Stop Event
fuel
Compiler

Compiled 64 to 44 computations (31.3% saved)

Profiling

Loading profile data...