Details

Time bar (total: 15.4s)

analyze842.0ms (5.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
50%50%0.1%5
50%50%0.1%6
50%50%0.1%7
50%50%0.1%8
50%50%0.1%9
50%50%0.1%10
50%50%0.1%11
50%50%0.1%12
50%50%0.1%13
50%50%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample12.9s (83.8%)

Results
10.0s7883×body8192exit
1.4s2005×body1024valid
632.0ms4531×body128valid
429.0ms1012×body512valid
214.0ms199×body2048valid
136.0ms509×body256valid

preprocess14.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
1×swap-a-b
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
1920
022
122
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Symmetry

(sort a b)

Compiler

Compiled 8 to 6 computations (25% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1810
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
31.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶31.1b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓4.3b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series80.0ms (0.5%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
25.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
24.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite55.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
721×pow1_binary64
666×add-log-exp_binary64
666×log1p-expm1-u_binary64
666×expm1-log1p-u_binary64
73×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
113818
2181818
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.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 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (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 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.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 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (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) (pow.f64 (exp.f64 a) 2)) (-.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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(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 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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (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))))))

simplify31.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
691×distribute-rgt-in_binary64
292×times-frac_binary64
288×fma-def_binary64
252×associate-*l*_binary64
226×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074440
1214434
2668428
33090428
Stop Event
1×node limit
Counts
73 → 87
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a 1/2)) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/6 (pow.f64 a 3)) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (log1p.f64 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/6 (pow.f64 b 3)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (+.f64 1 a) (exp.f64 b))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (exp.f64 b)))
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 (exp.f64 b) (fma.f64 a (*.f64 a 1/2) (+.f64 1 a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) (fma.f64 1/6 (pow.f64 a 3) a))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(+.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (fma.f64 1/6 (pow.f64 b 3) 1))
(+.f64 b (+.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) (fma.f64 1/6 (pow.f64 b 3) 1)))

prune72.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New85287
Fresh000
Picked101
Done000
Total86288
Error
0.6b
Counts
88 → 2
Alt Table
StatusErrorProgram
▶1.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
32.6b
(log1p.f64 (exp.f64 b))
Compiler

Compiled 1384 to 705 computations (49.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (exp.f64 a))
✓0.0b
(/.f64 b (+.f64 1 (exp.f64 a)))
✓0.0b
(+.f64 1 (exp.f64 a))
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

series61.0ms (0.4%)

Counts
4 → 44
Calls

18 calls:

TimeVariablePointExpression
30.0ms
a
@inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
14.0ms
a
@-inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
7.0ms
b
@-inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
4.0ms
b
@0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms
a
@0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite59.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
816×prod-diff_binary64
317×fma-def_binary64
170×expm1-udef_binary64
170×log1p-udef_binary64
153×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
118936
2265736
Stop Event
1×node limit
Counts
4 → 144
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
Outputs
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(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (/.f64 1 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 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(+.f64 (exp.f64 a) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 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(exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (hypot.f64 1 (sqrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 a) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 b (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 a))) 1))))))

simplify36.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
746×fma-neg_binary64
529×fma-def_binary64
265×distribute-rgt-neg-in_binary64
248×distribute-lft-neg-in_binary64
239×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080602
1246560
2923532
33419528
Stop Event
1×node limit
Counts
188 → 176
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (*.f64 a 1/8) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(fma.f64 1/2 b (-.f64 (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (*.f64 a 1/8) (log.f64 2))) (*.f64 b (*.f64 -1/48 (pow.f64 a 3)))))
(fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (*.f64 a 1/8) (fma.f64 (pow.f64 a 3) (*.f64 b 1/48) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 a (*.f64 1/2 a) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 2 a) (*.f64 (pow.f64 a 3) 1/6)))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 1/2 (*.f64 a a) (fma.f64 (pow.f64 a 3) 1/6 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 (*.f64 a -1/4) 1/2))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 (*.f64 a -1/4) 1/2))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(-.f64 (*.f64 b (fma.f64 a -1/4 1/2)) (*.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(fma.f64 b (fma.f64 a -1/4 1/2) (*.f64 (pow.f64 a 3) (*.f64 b 1/48)))
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 (*.f64 a a) 1/8))
(fma.f64 1/2 a (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (log.f64 2)))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 (*.f64 a a) 1/8)))
(+.f64 (fma.f64 (*.f64 a a) 1/8 (*.f64 -1/192 (pow.f64 a 4))) (fma.f64 1/2 a (log.f64 2)))
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))

prune168.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1733176
Fresh011
Picked011
Done000
Total1735178
Error
0.6b
Counts
178 → 5
Alt Table
StatusErrorProgram
15.5b
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
✓1.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
32.6b
(log1p.f64 (exp.f64 b))
27.6b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
▶2.8b
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
Compiler

Compiled 3068 to 1659 computations (45.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) 1)
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
✓0.8b
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
✓1.1b
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))

series27.0ms (0.2%)

Counts
4 → 68
Calls

21 calls:

TimeVariablePointExpression
6.0ms
a
@0
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
3.0ms
a
@0
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
3.0ms
b
@0
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
2.0ms
a
@inf
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
2.0ms
a
@-inf
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite65.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
810×prod-diff_binary64
197×log1p-udef_binary64
118×add-sqr-sqrt_binary64
113×pow1_binary64
112×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
125856
2314956
Stop Event
1×node limit
Counts
4 → 143
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (expm1.f64 a)) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (/.f64 1 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 a) (fma.f64 (exp.f64 a) (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (exp.f64 a) (exp.f64 a) -1)) (neg.f64 (expm1.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))))

simplify86.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
304×fma-def_binary64
277×associate-*r*_binary64
235×associate-*l/_binary64
225×associate-*l*_binary64
189×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02424025
18123393
233413285
Stop Event
1×node limit
Counts
211 → 154
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3)
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9)))))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))) (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))))))
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 7)) 1/9))) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9)))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))) (pow.f64 b 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 7)) 1/9))) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4) 1/9)))) a)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3)) (+.f64 (*.f64 1/3 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (*.f64 2/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4) 1/9)))) a))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (+.f64 (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) (*.f64 2/9 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 8)) 1/9))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))))))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9)))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))))))) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3)) (+.f64 (*.f64 1/3 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (*.f64 2/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4) 1/9)))) a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9)))) b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))))) (pow.f64 b 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9)))) b)))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))) (+.f64 (*.f64 -2/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (-.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))))) (*.f64 2/27 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (log.f64 (+.f64 1 (exp.f64 a)))))))) (*.f64 -1/3 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))))))) (pow.f64 b 3)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))))) (pow.f64 b 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9)))) b))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
Outputs
(pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3)
(cbrt.f64 (fma.f64 1/2 b (log.f64 2)))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))))
(+.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (*.f64 1/3 (*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/4 b)) a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)))))
(fma.f64 (*.f64 (+.f64 1/6 (*.f64 (*.f64 b -1/4) 1/3)) a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9)))))
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(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))
(+.f64 1 (exp.f64 a))

prune173.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1513154
Fresh123
Picked101
Done011
Total1536159
Error
0.6b
Counts
159 → 6
Alt Table
StatusErrorProgram
15.5b
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
33.7b
(fma.f64 (pow.f64 b 3) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18)) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18)) -1/9) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1 (exp.f64 a)))) (fma.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -2/27 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (fma.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -5/27) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log1p.f64 (exp.f64 a))))) (/.f64 -2/27 (*.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) 5/81)))) (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18)) -1/9) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18)) 1/9))) (*.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18))))))
✓1.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
32.6b
(log1p.f64 (exp.f64 b))
▶2.6b
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)) 3)
30.3b
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1) 3)
Compiler

Compiled 6840 to 4966 computations (27.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.8b
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
✓0.8b
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)) 3)
1.1b
(cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
✓1.1b
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))

series6.0ms (0%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
a
@0
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)) 3)
1.0ms
b
@0
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)) 3)
1.0ms
a
@0
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
0.0ms
b
@0
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
0.0ms
b
@inf
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)) 3)

rewrite52.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
810×prod-diff_binary64
197×log1p-udef_binary64
120×add-sqr-sqrt_binary64
115×pow1_binary64
114×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01434
130134
2319234
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1/6) (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1/6) (*.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 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(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) 1) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1/6)) (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 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(exp.f64 a) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))))

simplify64.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
264×fma-def_binary64
256×associate-*r*_binary64
235×associate-*l/_binary64
211×associate-*r/_binary64
207×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02203538
17342929
229892824
Stop Event
1×node limit
Counts
97 → 101
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3)
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9)))))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))) (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))))))
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 7)) 1/9))) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9)))))
(+.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))) (pow.f64 b 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 7)) 1/9))) (*.f64 1/3 (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4) 1/9)))) a)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3)) (+.f64 (*.f64 1/3 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (*.f64 2/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4) 1/9)))) a))))
(+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (+.f64 (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) (*.f64 2/9 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 8)) 1/9))))) (+.f64 (*.f64 -1/3 (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))))))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9)))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))))))) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))))) (+.f64 (*.f64 1/3 (*.f64 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4)) 1/9))))) (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3)) (+.f64 (*.f64 1/3 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (*.f64 2/9 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9)))))) (+.f64 (log.f64 2) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4) 1/9))) (*.f64 1/3 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (pow.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 4) 1/9)))) a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9)))) b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))))) (pow.f64 b 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9)))) b)))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))) (+.f64 (*.f64 -2/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (-.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))))) (*.f64 2/27 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (log.f64 (+.f64 1 (exp.f64 a)))))))) (*.f64 -1/3 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))))))) (pow.f64 b 3)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))))) (pow.f64 b 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9)))) b))))
Outputs
(pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3)
(cbrt.f64 (fma.f64 1/2 b (log.f64 2)))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))))
(+.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 b 1/4)) a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)))))
(fma.f64 1/3 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) (*.f64 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9)))))
(+.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (*.f64 1/3 (+.f64 (*.f64 (*.f64 a a) (*.f64 (-.f64 1/8 (+.f64 (*.f64 b 0) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 b 1/4)) 2) (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18)))))) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))))) (*.f64 (*.f64 (-.f64 1/2 (*.f64 b 1/4)) a) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18))))))
(fma.f64 1/3 (fma.f64 (*.f64 a a) (*.f64 (-.f64 1/8 (*.f64 1/3 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 b -1/4)) 2) (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18))))) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)))) (*.f64 (+.f64 1/2 (*.f64 b -1/4)) (*.f64 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18)))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/3 (*.f64 a (+.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) 1/18))) (*.f64 a (*.f64 (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 b -1/4)) 2) (*.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18) (pow.f64 (/.f64 1 (fma.f64 1/2 b (log.f64 2))) 1/18))) -1/3)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))))))) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(+.f64 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/9))) (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 2/3 (*.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2))) 1/9))))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 5)) 1/9))) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2)) 1/3))))))
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(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))))) (pow.f64 b 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9)))) b)))
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(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 b (/.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18)) (+.f64 1 (exp.f64 a))) (*.f64 b (*.f64 b (fma.f64 2/9 (/.f64 (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/9) (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))))))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18)) (*.f64 b (+.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 -1/9 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18))))) (*.f64 (/.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18))) 1/9))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 1 (exp.f64 a))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/9))) (+.f64 (*.f64 -2/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (-.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))))) (*.f64 2/27 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (log.f64 (+.f64 1 (exp.f64 a)))))))) (*.f64 -1/3 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) 1/3)))))))) (pow.f64 b 3)) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))) (+.f64 (*.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3) (+.f64 (*.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4)) 1/9) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log.f64 (+.f64 1 (exp.f64 a)))) 1/9))))) (pow.f64 b 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9))) (*.f64 1/3 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 4) 1/9)))) b))))
(fma.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18)) (/.f64 (fma.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18))) (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18))))) (+.f64 1 (exp.f64 a)))) (fma.f64 -2/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (-.f64 (*.f64 -2/3 (*.f64 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (cbrt.f64 (/.f64 1 (log1p.f64 (exp.f64 a)))))) (/.f64 2/27 (*.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 -1/3 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))))) (pow.f64 b 3) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (fma.f64 2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18))) (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (fma.f64 1/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18))) (*.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18))))) (*.f64 (*.f64 -1/9 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18))))) (*.f64 b b) (*.f64 b (*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18))) 1)))))
(+.f64 (fma.f64 b (/.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18)) (+.f64 1 (exp.f64 a))) (*.f64 b (*.f64 b (fma.f64 2/9 (/.f64 (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/9) (*.f64 -1/9 (/.f64 (*.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))))) (fma.f64 (pow.f64 b 3) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18)) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/9) (+.f64 1 (exp.f64 a)))) (fma.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -2/27 (fma.f64 -1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -5/27) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (fma.f64 (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log1p.f64 (exp.f64 a))))) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -5/27) (/.f64 -2/27 (*.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))))) (log1p.f64 (exp.f64 a))))
(+.f64 (*.f64 b (+.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18)) (*.f64 b (+.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 -1/9 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18))))) (*.f64 (/.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18))) 1/9))))) (fma.f64 (pow.f64 b 3) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18)) (/.f64 (/.f64 -1/9 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18)))) (+.f64 1 (exp.f64 a)))) (fma.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -2/27 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (fma.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -5/27) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log1p.f64 (exp.f64 a))))) (/.f64 -2/27 (*.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) 5/81)))) (log1p.f64 (exp.f64 a))))

prune279.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2011202
Fresh134
Picked011
Done011
Total2026208
Error
0.6b
Counts
208 → 6
Alt Table
StatusErrorProgram
15.5b
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
34.7b
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 b 3) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1/18)) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18)) -1/9) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1 (exp.f64 a)))) (fma.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -2/27 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (fma.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -5/27) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (log1p.f64 (exp.f64 a))))) (/.f64 -2/27 (*.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) 5/81)))) (+.f64 (log1p.f64 (exp.f64 a)) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 4)) 1/18)) -1/9) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (/.f64 1 (log1p.f64 (exp.f64 a))) 1/18)) 1/9))) (*.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18) (+.f64 1 (exp.f64 a))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 4) 1/18))))))) 3)
✓1.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
32.6b
(log1p.f64 (exp.f64 b))
✓2.6b
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)) 3)
30.3b
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) 1) 3)
Compiler

Compiled 11066 to 8365 computations (24.4% saved)

regimes92.0ms (0.6%)

Accuracy

Total -34.0b remaining (-3303%)

Threshold costs -34.0b (-3303%)

Counts
36 → 1
Compiler

Compiled 1138 to 718 computations (36.9% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
11316
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))

end176.0ms (1.1%)

Stop Event
1×fuel
Compiler

Compiled 347 to 224 computations (35.4% saved)

Profiling

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