Details

Time bar (total: 15.6s)

analyze826.0ms (5.3%)

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)

sample12.8s (81.9%)

Results
9.9s7877×body8192exit
1.4s2000×body1024valid
624.0ms4528×body128valid
441.0ms1018×body512valid
174.0ms191×body2048valid
137.0ms519×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)

simplify6.0ms (0%)

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
30.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶30.1b
(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))
✓4.1b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series88.0ms (0.6%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
27.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
20.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
15.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite48.0ms (0.3%)

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

simplify29.0ms (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)))

prune61.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New85287
Fresh000
Picked101
Done000
Total86288
Error
0.8b
Counts
88 → 2
Alt Table
StatusErrorProgram
32.6b
(log1p.f64 (exp.f64 b))
▶1.8b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Compiler

Compiled 1384 to 705 computations (49.1% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series65.0ms (0.4%)

Counts
3 → 32
Calls

15 calls:

TimeVariablePointExpression
22.0ms
a
@-inf
(/.f64 b (+.f64 1 (exp.f64 a)))
20.0ms
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))))
4.0ms
b
@0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms
b
@inf
(/.f64 b (+.f64 1 (exp.f64 a)))

rewrite58.0ms (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
0931
118931
2265731
Stop Event
1×node limit
Counts
3 → 123
Calls
Call 1
Inputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (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 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(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 1 (exp.f64 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (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 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) 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 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(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 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) 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 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (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 1 (exp.f64 a)) 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 1 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (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 1 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (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 (exp.f64 a) 1 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 exp.f64 (log1p.f64 (exp.f64 a)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))) 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 1 (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 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(log1p.f64 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 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simplify32.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
746×fma-neg_binary64
487×fma-def_binary64
264×distribute-rgt-neg-in_binary64
248×distribute-lft-neg-in_binary64
225×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068513
1215473
2843447
33234443
Stop Event
1×node limit
Counts
155 → 149
Calls
Call 1
Inputs
(*.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)))))
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 (*.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))))
Outputs
(*.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 -1/4 a) 1/2))
(*.f64 b (fma.f64 -1/4 a 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 -1/4 a) 1/2))
(*.f64 b (fma.f64 -1/4 a 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 -1/4 a 1/2)) (*.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(fma.f64 b (fma.f64 -1/4 a 1/2) (*.f64 (pow.f64 a 3) (*.f64 b 1/48)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(fma.f64 a (*.f64 1/2 a) (+.f64 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 (+.f64 a 2) (*.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 (fma.f64 (pow.f64 a 3) 1/6 2) (fma.f64 1/2 (*.f64 a a) a))
(+.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 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (log.f64 2)))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.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))))
(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 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(fma.f64 1/2 b (fma.f64 a (fma.f64 b -1/4 1/2) (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 a (+.f64 1/2 (*.f64 b -1/4)) (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))))))
(-.f64 (fma.f64 1/2 b (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) (*.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 1/2 b (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))))

prune183.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1472149
Fresh011
Picked101
Done000
Total1483151
Error
0.8b
Counts
151 → 3
Alt Table
StatusErrorProgram
32.6b
(log1p.f64 (exp.f64 b))
▶1.8b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
32.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 a)))
Compiler

Compiled 2585 to 1387 computations (46.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
✓0.0b
(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
✓0.0b
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)
✓0.7b
(cbrt.f64 (log1p.f64 (exp.f64 a)))

series153.0ms (1%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
69.0ms
b
@inf
(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
28.0ms
b
@0
(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
17.0ms
a
@inf
(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
16.0ms
a
@-inf
(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
11.0ms
a
@0
(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))

rewrite68.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
892×expm1-log1p-u_binary64
891×log1p-expm1-u_binary64
104×add-sqr-sqrt_binary64
103×pow1_binary64
101×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01134
121932
2252832
Stop Event
1×node limit
Counts
4 → 97
Calls
Call 1
Inputs
(cbrt.f64 (log1p.f64 (exp.f64 a)))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)
(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (pow.f64 (log1p.f64 (exp.f64 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.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 (/.f64 b (+.f64 (exp.f64 a) 1)) 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 (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 (neg.f64 (+.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 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(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 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)))) (#(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 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (neg.f64 (+.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 cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))) (#(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 log1p.f64 (expm1.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 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 a))))) (#(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 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 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 (pow.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.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 *.f64 (pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (cbrt.f64 (log1p.f64 (exp.f64 a)))) (pow.f64 (sqrt.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 /.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 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 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 expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))))

simplify102.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
697×fma-neg_binary64
372×+-commutative_binary64
251×fma-def_binary64
245×associate-*r*_binary64
215×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01834505
16364462
230214312
343214312
Stop Event
1×node limit
Counts
157 → 132
Calls
Call 1
Inputs
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3)
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (*.f64 1/3 (*.f64 a (pow.f64 (log.f64 2) 1/9))))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 1/3 (*.f64 a (pow.f64 (log.f64 2) 1/9))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2))))
(+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 1/3 (*.f64 a (pow.f64 (log.f64 2) 1/9))) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))) (pow.f64 a 2)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(*.f64 1/2 b)
(+.f64 (*.f64 -1/2 (*.f64 a (*.f64 b (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))))) (*.f64 1/2 b))
(+.f64 (*.f64 -1/2 (*.f64 a (*.f64 b (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))))) (+.f64 (*.f64 1/2 b) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 b (pow.f64 (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) 2))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 1/3 (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))) (*.f64 1/2 (pow.f64 (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) 2))))) b))) (pow.f64 a 2)))))
(+.f64 (*.f64 -1/2 (*.f64 a (*.f64 b (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))))) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/2 (*.f64 b (+.f64 (*.f64 (+.f64 (*.f64 1/3 (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))))) (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) 3)) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (*.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 6 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (+.f64 (*.f64 1/162 (pow.f64 (log.f64 2) 1/3)) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))) (*.f64 2/27 (pow.f64 (log.f64 2) 1/3)))))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))))))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/3 (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))) (*.f64 1/2 (pow.f64 (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) 2))))) (*.f64 b (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 b (pow.f64 (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) 2))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 1/3 (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))) (*.f64 1/2 (pow.f64 (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) 2))))) b))) (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 b (pow.f64 (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) 2))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 1/3 (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))) (*.f64 1/2 (pow.f64 (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) 2))))) b))) (pow.f64 a 2))))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
(/.f64 b (+.f64 1 (exp.f64 a)))
2
(+.f64 2 (*.f64 2 (*.f64 a (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))))))
(+.f64 2 (+.f64 (*.f64 2 (*.f64 a (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))))) (*.f64 2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/3 (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))) (*.f64 1/2 (pow.f64 (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) 2)))))))))
(+.f64 (*.f64 2 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9) (+.f64 (*.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (*.f64 1/2 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))))) (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) 3)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 6 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9))))) (+.f64 (*.f64 1/162 (pow.f64 (log.f64 2) 1/3)) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))) (*.f64 2/27 (pow.f64 (log.f64 2) 1/3)))))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 -1/3 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))))))) (+.f64 2 (+.f64 (*.f64 2 (*.f64 a (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))))) (*.f64 2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/3 (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (+.f64 (*.f64 1/18 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 -1/9 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)) (*.f64 2 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/3) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (+.f64 (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 4)) 1/9)) (*.f64 1/18 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9)))))))) (*.f64 1/2 (pow.f64 (+.f64 (*.f64 1/6 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9)) (*.f64 1/3 (pow.f64 (pow.f64 (log.f64 2) 4) 1/9))) 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))
Outputs
(pow.f64 (log.f64 2) 1/3)
(cbrt.f64 (log.f64 2))
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 1/6 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))))
(+.f64 (cbrt.f64 (log.f64 2)) (*.f64 1/6 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18)))))
(fma.f64 1/6 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (cbrt.f64 (log.f64 2)))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))
(+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/6 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (*.f64 1/3 (*.f64 (*.f64 a a) (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))
(+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 a a) (+.f64 1/8 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)) -1/12))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (*.f64 1/6 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/6 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/9) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9))))) (*.f64 1/216 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (pow.f64 a 3)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (*.f64 1/12 (pow.f64 (/.f64 1 (log.f64 2)) 1/9)))) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))
(+.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/6 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/18))) (fma.f64 -1/3 (*.f64 (fma.f64 1/3 (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/216)) (*.f64 (pow.f64 a 3) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/3 (*.f64 (*.f64 a a) (*.f64 (+.f64 1/8 (*.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (log.f64 2)) 1/18) (pow.f64 (/.f64 1 (log.f64 2)) 1/18)))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))))
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(+.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))

prune421.0ms (2.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1641165
Fresh022
Picked101
Done000
Total1653168
Error
0.8b
Counts
168 → 3
Alt Table
StatusErrorProgram
32.6b
(log1p.f64 (exp.f64 b))
▶1.8b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
32.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 a)))
Compiler

Compiled 7919 to 6188 computations (21.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3) 2)
✓0.0b
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3)
✓0.5b
(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))
0.7b
(cbrt.f64 (log1p.f64 (exp.f64 a)))

series52.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
27.0ms
a
@-inf
(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))
15.0ms
a
@inf
(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))
3.0ms
a
@0
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3)
3.0ms
a
@0
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3) 2)
2.0ms
a
@0
(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))

rewrite87.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
669×pow1_binary64
628×add-log-exp_binary64
627×expm1-log1p-u_binary64
626×log1p-expm1-u_binary64
82×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
120526
2190326
Stop Event
1×node limit
Counts
3 → 66
Calls
Call 1
Inputs
(cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 3) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (pow.f64 (log1p.f64 (exp.f64 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) 3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) 1) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (*.f64 (cbrt.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 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))) (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/6) (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 1/6) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))))))))

simplify55.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
559×associate-+l+_binary64
511×associate-+r+_binary64
214×+-commutative_binary64
173×associate-*r*_binary64
166×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01332425
14872403
221822306
Stop Event
1×node limit
Counts
102 → 94
Calls
Call 1
Inputs
(pow.f64 (log.f64 2) 1/9)
(+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (pow.f64 (log.f64 2) 1/9))
(+.f64 (*.f64 (pow.f64 (log.f64 2) 1/9) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (pow.f64 (log.f64 2) 1/9)))
(+.f64 (*.f64 (pow.f64 (log.f64 2) 1/9) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/324 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (pow.f64 a 3)) (pow.f64 (log.f64 2) 1/9)) (pow.f64 (log.f64 2) 1/9))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(pow.f64 (log.f64 2) 1/3)
(+.f64 (pow.f64 (log.f64 2) 1/3) (*.f64 a (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (*.f64 1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (+.f64 (*.f64 1/162 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3)) (*.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (*.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))))) (*.f64 a (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (*.f64 1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))))
(+.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (+.f64 (*.f64 1/162 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3)) (*.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (*.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))))) (+.f64 (*.f64 a (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (*.f64 1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (*.f64 (+.f64 (*.f64 1/324 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (pow.f64 (log.f64 2) 1/3)) (+.f64 (*.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/324 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (pow.f64 (pow.f64 (log.f64 2) 2) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))) (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (+.f64 (*.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))))))))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/3)
(pow.f64 (pow.f64 (log.f64 2) 2) 1/3)
(+.f64 (*.f64 2 (*.f64 (*.f64 a (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (*.f64 1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))) (pow.f64 (log.f64 2) 1/3))) (pow.f64 (pow.f64 (log.f64 2) 2) 1/3))
(+.f64 (*.f64 2 (*.f64 (*.f64 a (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (*.f64 1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))) (pow.f64 (log.f64 2) 1/3))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (*.f64 1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) 2) (*.f64 2 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/162 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3)) (+.f64 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (*.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))))))) (pow.f64 a 2))))
(+.f64 (*.f64 2 (*.f64 (*.f64 a (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (*.f64 1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)))) (pow.f64 (log.f64 2) 1/3))) (+.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/3) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/162 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3)) (+.f64 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (*.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))))) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (*.f64 1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))))) (*.f64 2 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (*.f64 (+.f64 (*.f64 1/324 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (pow.f64 (log.f64 2) 1/3)) (+.f64 (*.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/324 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (pow.f64 (pow.f64 (log.f64 2) 2) 1/9))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/9) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))) (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9) (+.f64 (*.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))))))))))))) (*.f64 (+.f64 (pow.f64 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3)) (*.f64 1/18 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)) 1/3))) 2) (*.f64 2 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/162 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 5)) 1/3)) (+.f64 (*.f64 (pow.f64 (log.f64 2) 1/3) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 (pow.f64 (log.f64 2) 1/9) (+.f64 (*.f64 1/324 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/9)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/9) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2))))))))))))) (pow.f64 a 2)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
Outputs
(pow.f64 (log.f64 2) 1/9)
(*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))
(+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (pow.f64 (log.f64 2) 1/9))
(fma.f64 1/18 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)))
(fma.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) a)) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)))
(+.f64 (*.f64 (pow.f64 (log.f64 2) 1/9) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (pow.f64 (log.f64 2) 1/9)))
(fma.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (*.f64 (*.f64 a a) (fma.f64 1/18 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2)))) (fma.f64 1/18 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))))
(fma.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (*.f64 (*.f64 a a) (fma.f64 1/18 (+.f64 (/.f64 1/4 (log.f64 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2)))) (fma.f64 1/18 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))))
(+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) a))) (*.f64 (+.f64 (*.f64 a (*.f64 a (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 2)) (/.f64 1/72 (log.f64 2))) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))))) 1) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18))))
(+.f64 (*.f64 (pow.f64 (log.f64 2) 1/9) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/18 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/648 (/.f64 1 (pow.f64 (log.f64 2) 2)))))) (+.f64 (*.f64 1/18 (*.f64 a (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/9))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/324 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (log.f64 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (log.f64 2))) (+.f64 (*.f64 1/54 (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (log.f64 2) 3))) (*.f64 3/8 (/.f64 1 (pow.f64 (log.f64 2) 2))))) (*.f64 1/34992 (/.f64 1 (pow.f64 (log.f64 2) 3))))) (pow.f64 a 3)) (pow.f64 (log.f64 2) 1/9)) (pow.f64 (log.f64 2) 1/9))))
(fma.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (*.f64 (*.f64 a a) (fma.f64 1/18 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2)))) (fma.f64 1/18 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (+.f64 (*.f64 (fma.f64 1/324 (/.f64 (-.f64 (/.f64 1/4 (log.f64 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 2))) (log.f64 2)) (fma.f64 1/54 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (/.f64 3/8 (pow.f64 (log.f64 2) 2))) (/.f64 1/34992 (pow.f64 (log.f64 2) 3)))) (pow.f64 a 3)) 1) (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)))))
(fma.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (*.f64 (*.f64 a a) (fma.f64 1/18 (+.f64 (/.f64 1/4 (log.f64 2)) (/.f64 -1/4 (pow.f64 (log.f64 2) 2))) (/.f64 1/648 (pow.f64 (log.f64 2) 2)))) (fma.f64 1/18 (*.f64 a (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18))) (*.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (fma.f64 (fma.f64 1/324 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 3))) (fma.f64 1/54 (+.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 3)) (/.f64 -3/8 (pow.f64 (log.f64 2) 2))) (/.f64 1/34992 (pow.f64 (log.f64 2) 3)))) (pow.f64 a 3) 1))))
(+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) a))) (*.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (+.f64 (*.f64 a (*.f64 a (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 2)) (/.f64 1/72 (log.f64 2))) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))))) (fma.f64 (fma.f64 1/324 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 1/216 (pow.f64 (log.f64 2) 3)) (+.f64 (/.f64 -1/144 (pow.f64 (log.f64 2) 2)) (/.f64 1/34992 (pow.f64 (log.f64 2) 3))))) (pow.f64 a 3) 1))))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) (pow.f64 (log1p.f64 (exp.f64 a)) 1/18))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) (pow.f64 (log1p.f64 (exp.f64 a)) 1/18))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) (pow.f64 (log1p.f64 (exp.f64 a)) 1/18))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) (pow.f64 (log1p.f64 (exp.f64 a)) 1/18))
(pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1/9)
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 1/18) (pow.f64 (log1p.f64 (exp.f64 a)) 1/18))
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(+.f64 (*.f64 (*.f64 a a) (+.f64 (fma.f64 2 (*.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/162 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))) (+.f64 (*.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) 1/324))) (*.f64 (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 2)) (/.f64 1/72 (log.f64 2))) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)))) (cbrt.f64 (log.f64 2))))))) (pow.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/6) 2)) (*.f64 (*.f64 2 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) 1/6) (fma.f64 1/162 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 5))) (+.f64 (*.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) 1/324))) (*.f64 (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 2)) (/.f64 1/72 (log.f64 2))) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (+.f64 (*.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18)))) (cbrt.f64 (log.f64 2)))))) (*.f64 (cbrt.f64 (log.f64 2)) (fma.f64 1/9 (*.f64 (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 2)) (/.f64 1/72 (log.f64 2))) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2)))) (fma.f64 (fma.f64 1/324 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 1/216 (pow.f64 (log.f64 2) 3)) (+.f64 (/.f64 -1/144 (pow.f64 (log.f64 2) 2)) (/.f64 1/34992 (pow.f64 (log.f64 2) 3))))) (cbrt.f64 (log.f64 2)) (fma.f64 (*.f64 (pow.f64 (log.f64 2) 1/18) (pow.f64 (log.f64 2) 1/18)) (fma.f64 2 (*.f64 (fma.f64 1/324 (-.f64 (/.f64 1/4 (pow.f64 (log.f64 2) 2)) (/.f64 1/4 (pow.f64 (log.f64 2) 3))) (+.f64 (/.f64 1/216 (pow.f64 (log.f64 2) 3)) (+.f64 (/.f64 -1/144 (pow.f64 (log.f64 2) 2)) (/.f64 1/34992 (pow.f64 (log.f64 2) 3))))) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))) (*.f64 (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 2)) (/.f64 1/72 (log.f64 2))) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 7)) 1/18))))) (*.f64 1/18 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 8)) 1/18)) (fma.f64 2 (*.f64 (+.f64 (+.f64 (/.f64 1/648 (pow.f64 (log.f64 2) 2)) (/.f64 1/72 (log.f64 2))) (/.f64 -1/72 (pow.f64 (log.f64 2) 2))) (*.f64 (pow.f64 (pow.f64 (log.f64 2) 2) 1/18) (pow.f64 (pow.f64 (log.f64 2) 2) 1/18))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 2) 16)) 1/18) 1/324))))))))))) a))) (fma.f64 2 (*.f64 a (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 2) 2))) (*.f64 1/6 (cbrt.f64 (log.f64 2))))) (cbrt.f64 (pow.f64 (log.f64 2) 2))))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))
(pow.f64 (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2) 1/3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))

prune318.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1591160
Fresh022
Picked101
Done000
Total1603163
Error
0.8b
Counts
163 → 3
Alt Table
StatusErrorProgram
32.6b
(log1p.f64 (exp.f64 b))
1.8b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 3) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
32.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 2 a)))
Compiler

Compiled 7119 to 5005 computations (29.7% saved)

regimes66.0ms (0.4%)

Accuracy

Total -60.5b remaining (-3417.3%)

Threshold costs -60.5b (-3417.3%)

Counts
34 → 1
Compiler

Compiled 449 to 227 computations (49.4% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01741
11841
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 3) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (pow.f64 (exp.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))))) 3) 3) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))))

end39.0ms (0.2%)

Stop Event
1×fuel
Compiler

Compiled 104 to 68 computations (34.6% saved)

Profiling

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