Details

Time bar (total: 19.6s)

analyze248.0ms (1.3%)

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

Compiled 9 to 7 computations (22.2% saved)

sample14.3s (72.8%)

Results
11.2s7620×body8192exit
1.6s1983×body1024valid
916.0ms5104×body256valid
339.0ms953×body512valid
236.0ms216×body2048valid
Bogosity

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 10 to 8 computations (20% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
27.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.3b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
4.8b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓4.8b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series81.0ms (0.4%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
26.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
24.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
14.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite65.0ms (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
650×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
113818
2182218
Stop Event
1×node limit
Counts
2 → 56
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 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(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 (+.f64 1 (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 (+.f64 1 (+.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 (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 (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 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 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 exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))))

simplify41.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
679×distribute-rgt-in_binary64
670×distribute-lft-in_binary64
483×associate-*l/_binary64
432×associate-*r/_binary64
377×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074440
1214434
2668428
33076416
Stop Event
1×node limit
Counts
72 → 86
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)))))
(+.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)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (log1p.f64 (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 a (+.f64 1 (exp.f64 b))) (+.f64 (log1p.f64 (exp.f64 b)) (*.f64 1/6 (*.f64 (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)))))
(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)))) (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))))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 (pow.f64 a 3) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (log1p.f64 (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 (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 1/6 (*.f64 (pow.f64 b 3) (+.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))))) (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 (log1p.f64 (exp.f64 a)) (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 a))) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 a)) 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 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 1 (+.f64 (exp.f64 b) a)))
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 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 (exp.f64 a) (+.f64 1 b))
(+.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 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
(+.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 (fma.f64 1/6 (pow.f64 b 3) 1) (fma.f64 1/2 (*.f64 b b) b)) (exp.f64 a))
(+.f64 (exp.f64 a) (+.f64 (fma.f64 b (*.f64 b 1/2) b) (fma.f64 1/6 (pow.f64 b 3) 1)))

eval23.0ms (0.1%)

Compiler

Compiled 1332 to 669 computations (49.8% saved)

prune20.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New77986
Fresh000
Picked011
Done000
Total771087
Error
1.0b
Counts
87 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶27.7b
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
31.2b
(log.f64 (+.f64 1 (+.f64 a (exp.f64 b))))
30.1b
(log1p.f64 (exp.f64 b))
▶28.4b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
▶30.2b
(log1p.f64 (exp.f64 a))
30.1b
(log.f64 (+.f64 1 (exp.f64 b)))
✓27.3b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶1.9b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶30.2b
(log.f64 (+.f64 1 (exp.f64 a)))
28.1b
(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
Compiler

Compiled 162 to 128 computations (21% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 30 to 14 computations (53.3% saved)

series59.0ms (0.3%)

Counts
2 → 28
Calls

12 calls:

TimeVariablePointExpression
37.0ms
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
a
@0
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
1.0ms
b
@inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))

rewrite83.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
816×prod-diff_binary64
453×log-prod_binary64
317×fma-def_binary64
291×pow-prod-down_binary64
250×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
118925
2266225
Stop Event
1×node limit
Counts
2 → 97
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
Outputs
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(/.f64 b (+.f64 (exp.f64 a) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 a)) 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) -2) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.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))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 (exp.f64 a) 1) -1/2) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (+.f64 1 (exp.f64 (*.f64 3 a)))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a)) (log1p.f64 (exp.f64 a)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (pow.f64 (+.f64 (exp.f64 a) 1) -1/2) (/.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 *.f64 (/.f64 b (+.f64 1 (exp.f64 (*.f64 3 a)))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1) -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 (+.f64 (exp.f64 a) 1) b) -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 (+.f64 (exp.f64 a) 1) b) -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))))))

simplify46.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
746×fma-neg_binary64
429×fma-def_binary64
383×distribute-rgt-in_binary64
308×associate--l+_binary64
295×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060477
1194439
2792413
33780408
Stop Event
1×node limit
Counts
125 → 116
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.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)))))
Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (fma.f64 b -1/4 1/2) a (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 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (*.f64 a 1/8) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(-.f64 (fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) (*.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(fma.f64 1/2 b (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 a (*.f64 a 1/8) (fma.f64 (pow.f64 a 3) (*.f64 b 1/48) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(*.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 1/2 (*.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 1/2 b (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(-.f64 (*.f64 b (fma.f64 a -1/4 1/2)) (*.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(*.f64 b (-.f64 (fma.f64 a -1/4 1/2) (*.f64 -1/48 (pow.f64 a 3))))

localize5.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (+.f64 1 (exp.f64 a)))
✓0.0b
(log.f64 (+.f64 1 (exp.f64 a)))
Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
1.0ms
a
@0
(log.f64 (+.f64 1 (exp.f64 a)))
0.0ms
a
@inf
(log.f64 (+.f64 1 (exp.f64 a)))
0.0ms
a
@-inf
(log.f64 (+.f64 1 (exp.f64 a)))

rewrite42.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
533×pow1_binary64
518×add-sqr-sqrt_binary64
494×add-log-exp_binary64
494×log1p-expm1-u_binary64
494×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
11155
213455
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (log.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))))))

simplify136.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
787×sqr-pow_binary64
444×associate-*l*_binary64
437×*-commutative_binary64
420×fma-def_binary64
355×cube-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01949
14347
29345
323039
466139
5214539
6346939
7373739
8400539
9440239
10489539
11542039
12595439
13648339
14710939
15786039
Stop Event
1×node limit
Counts
24 → 27
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (*.f64 1/8 (*.f64 a a)))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 a a) (log.f64 2)))
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (log.f64 2)))
(fma.f64 a (fma.f64 a 1/8 1/2) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4))))
(fma.f64 1/2 a (fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (*.f64 a 1/8) (log.f64 2))))
(fma.f64 a (fma.f64 a 1/8 1/2) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2)))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
2.7b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
0.0b
(+.f64 (exp.f64 a) (+.f64 1 b))
✓0.0b
(+.f64 (exp.f64 a) (+.f64 1 b))
✓2.7b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
Compiler

Compiled 23 to 13 computations (43.5% saved)

series43.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
14.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
14.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
10.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
1.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))

rewrite65.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
915×pow1_binary64
851×add-log-exp_binary64
850×log1p-expm1-u_binary64
850×expm1-log1p-u_binary64
834×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
116620
2228420
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2))) (log.f64 (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (expm1.f64 a) b)) (/.f64 (pow.f64 (+.f64 1 b) 2) (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2)) (/.f64 1 (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (expm1.f64 a) b) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3)) (+.f64 (pow.f64 (+.f64 1 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a (log1p.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2)) (-.f64 (expm1.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2))) (neg.f64 (-.f64 (expm1.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 b 3)) (+.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (-.f64 (*.f64 b b) (*.f64 (+.f64 (exp.f64 a) 1) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (+.f64 1 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) 1)) (*.f64 b b)) (-.f64 (+.f64 (exp.f64 a) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 b)) 2) (cbrt.f64 (+.f64 1 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)) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 b)) (sqrt.f64 (+.f64 1 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 1 b))))))

simplify54.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
718×associate-*l/_binary64
510×distribute-rgt-in_binary64
505×distribute-lft-in_binary64
403×associate-/r/_binary64
348×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097773
1278743
2865732
33782724
Stop Event
1×node limit
Counts
106 → 98
Calls
Call 1
Inputs
(log.f64 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(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 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b))))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
Outputs
(log.f64 (+.f64 2 b))
(+.f64 (/.f64 a (+.f64 2 b)) (log.f64 (+.f64 2 b)))
(+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b)))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(+.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (*.f64 (*.f64 1/2 (*.f64 a a)) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 1/2 (*.f64 a (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (log.f64 (+.f64 2 b))))
(fma.f64 (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))) (*.f64 a (*.f64 a 1/2)) (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 -1/2 (pow.f64 (+.f64 2 b) 2))) (log.f64 (+.f64 2 b))))
(+.f64 (/.f64 a (+.f64 2 b)) (+.f64 (log.f64 (+.f64 2 b)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (/.f64 1 (+.f64 2 b))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))))
(+.f64 (+.f64 (log.f64 (+.f64 2 b)) (/.f64 a (+.f64 2 b))) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 b) 3)) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 3 (pow.f64 (+.f64 2 b) 2))))) (*.f64 (*.f64 1/2 (*.f64 a a)) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))
(+.f64 (log.f64 (+.f64 2 b)) (+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 1/2 (*.f64 a (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 b)) (-.f64 (/.f64 2 (pow.f64 (+.f64 2 b) 3)) (/.f64 3 (pow.f64 (+.f64 2 b) 2)))))))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 b)) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 b) 3)) (/.f64 -3 (pow.f64 (+.f64 2 b) 2))))) (log.f64 (+.f64 2 b)))))
(+.f64 (/.f64 a (+.f64 2 b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 -1/2 (pow.f64 (+.f64 2 b) 2))) (fma.f64 (pow.f64 a 3) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 b) 3)) (*.f64 (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -3 (pow.f64 (+.f64 2 b) 2))) 1/6)) (log.f64 (+.f64 2 b)))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) b)))
(log1p.f64 (+.f64 b (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 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 (+.f64 (/.f64 (*.f64 b -1/2) (+.f64 1 (exp.f64 a))) 1) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (*.f64 1/3 (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (*.f64 (+.f64 (/.f64 (*.f64 b -1/2) (+.f64 1 (exp.f64 a))) 1) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 -1 (log.f64 (/.f64 1 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 (/.f64 -1/2 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 (/.f64 -1/2 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b) (+.f64 (/.f64 1 b) (log.f64 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b)))))
(+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 b)))
(log.f64 b)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 1 b)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 1 b) (log.f64 b)))
(+.f64 (log.f64 b) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 (/.f64 -1/2 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 (/.f64 -1/2 b) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b) (+.f64 (/.f64 1 b) (log.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (neg.f64 (log.f64 b)) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 1 b)))))
(+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) (fma.f64 1/3 (pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 3) (/.f64 1 b)))))
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 2 (+.f64 b a))
(+.f64 b (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 b a)))
(+.f64 (+.f64 b a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (+.f64 b a)))
(fma.f64 a (*.f64 a 1/2) (+.f64 b (+.f64 2 a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 2 a) (fma.f64 1/6 (pow.f64 a 3) b)))
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) b)) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (+.f64 b (fma.f64 1/6 (pow.f64 a 3) a))))
(+.f64 (+.f64 b (fma.f64 1/6 (pow.f64 a 3) a)) (fma.f64 a (*.f64 a 1/2) 2))
(+.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) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.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) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.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) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.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) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.f64 1 (exp.f64 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) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.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)))
b
(+.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) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.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)))
b
(+.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) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 b (+.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)))

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
4.8b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
3.1b
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
0.0b
(+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.0b
(+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓3.1b
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
4.8b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 38 to 13 computations (65.8% saved)

series4.0ms (0%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
0.0ms
a
@0
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
0.0ms
a
@0
(+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
0.0ms
b
@0
(+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
0.0ms
b
@0
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
0.0ms
a
@inf
(+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite68.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
663×prod-diff_binary64
423×log-prod_binary64
409×fma-def_binary64
275×pow-prod-down_binary64
253×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
121323
2301123
Stop Event
1×node limit
Counts
2 → 120
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
Outputs
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(exp.f64 a) (exp.f64 b))) 3))) (neg.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (neg.f64 (-.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) 1) (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (-.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) 1) (+.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 1 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (E.f64) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (E.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (/.f64 1 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 2) (cbrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 1)))))

simplify52.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
634×distribute-rgt-in_binary64
599×distribute-lft-in_binary64
495×*-commutative_binary64
467×associate-*l/_binary64
375×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070840
1205836
2623824
32868800
Stop Event
1×node limit
Counts
152 → 153
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 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(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))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (+.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 1 (+.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 1 (+.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))))))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (+.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 1 (+.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)))))))
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)))))
(+.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)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (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 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.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 1/2 (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (log1p.f64 (exp.f64 b))) (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))))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (fma.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1/6 (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(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)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(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)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(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)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(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)))
(log.f64 (+.f64 (exp.f64 b) (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 (*.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 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (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 (log1p.f64 (exp.f64 a)) (/.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 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.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))))) (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.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))))) (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))) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (pow.f64 b 3) (+.f64 (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 1/6 (+.f64 1 (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))))))
(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)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(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)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(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)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(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)))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (log1p.f64 (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 1 (+.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 1 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(+.f64 (log1p.f64 (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 1 (/.f64 a (+.f64 1 (exp.f64 b))))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 1 (log1p.f64 (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 1 (+.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 1 (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 1/6 (pow.f64 a 3)) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(+.f64 1 (+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.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 1 (+.f64 (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)))) (log1p.f64 (exp.f64 b))) (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))))) (/.f64 a (+.f64 1 (exp.f64 b))))))
(+.f64 (log1p.f64 (exp.f64 b)) (+.f64 (fma.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1/6 (+.f64 1 (exp.f64 b)))) (/.f64 a (+.f64 1 (exp.f64 b)))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) 1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 1 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 1 (log1p.f64 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (+.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 (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 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (log1p.f64 (exp.f64 a))))
(+.f64 1 (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 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 1 (+.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 1 (+.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 (+.f64 1 (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 (+.f64 (fma.f64 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.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))))) (log1p.f64 (exp.f64 a)))) 1)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.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))))) (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))) 1)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (fma.f64 (pow.f64 b 3) (+.f64 (+.f64 (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 1/6 (+.f64 1 (exp.f64 a)))) (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))) 1)))

eval153.0ms (0.8%)

Compiler

Compiled 8632 to 4814 computations (44.2% saved)

prune74.0ms (0.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New46713480
Fresh314
Picked101
Done325
Total47416490
Error
1.0b
Counts
490 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
30.7b
(log.f64 (+.f64 2 b))
32.5b
(/.f64 b (+.f64 1 (exp.f64 a)))
✓27.3b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
31.0b
(log.f64 2)
24.7b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
▶30.1b
(log1p.f64 (exp.f64 b))
✓30.2b
(log1p.f64 (exp.f64 a))
▶62.9b
(log.f64 b)
▶2.2b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
30.5b
(+.f64 (*.f64 1/2 b) (log.f64 2))
31.2b
(log.f64 (+.f64 1 (+.f64 a (exp.f64 b))))
2.5b
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1)))))
▶31.4b
(+.f64 (*.f64 1/2 a) (log.f64 2))
▶17.7b
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
19.2b
(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))
30.7b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
Compiler

Compiled 287 to 218 computations (24% saved)

localize33.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
0.0b
(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
0.0b
(/.f64 b (+.f64 (exp.f64 a) 1))
✓0.0b
(/.f64 b (+.f64 (exp.f64 a) 1))
✓0.0b
(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
✓0.1b
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
Compiler

Compiled 47 to 25 computations (46.8% saved)

series83.0ms (0.4%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
60.0ms
a
@inf
(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
15.0ms
a
@-inf
(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
1.0ms
a
@0
(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
1.0ms
b
@0
(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
1.0ms
b
@-inf
(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))

rewrite87.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
490×log-prod_binary64
378×exp-prod_binary64
319×fma-def_binary64
310×pow-prod-down_binary64
267×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
121245
2289645
Stop Event
1×node limit
Counts
4 → 215
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
(/.f64 b (+.f64 (exp.f64 a) 1))
Outputs
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(+.f64 (exp.f64 a) 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))) -1)))))

simplify64.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
750×fma-def_binary64
707×associate-+l+_binary64
536×associate-*l*_binary64
521×associate-*r*_binary64
280×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01511707
14731586
219401492
Stop Event
1×node limit
Counts
311 → 216
Calls
Call 1
Inputs
(/.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 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)))))
(/.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 (*.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))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(log.f64 (+.f64 (*.f64 1/2 b) 1))
(+.f64 (log.f64 (+.f64 (*.f64 1/2 b) 1)) (*.f64 -1/4 (/.f64 (*.f64 a b) (+.f64 (*.f64 1/2 b) 1))))
(+.f64 (log.f64 (+.f64 (*.f64 1/2 b) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2))) (*.f64 -2 (/.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (+.f64 (*.f64 1/2 b) 1)))))) (*.f64 -1/4 (/.f64 (*.f64 a b) (+.f64 (*.f64 1/2 b) 1)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) b) (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 (*.f64 1/2 b) 1) 3))) (*.f64 -6 (/.f64 (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))) (+.f64 (*.f64 1/2 b) 1))))))) (+.f64 (log.f64 (+.f64 (*.f64 1/2 b) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2))) (*.f64 -2 (/.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (+.f64 (*.f64 1/2 b) 1)))))) (*.f64 -1/4 (/.f64 (*.f64 a b) (+.f64 (*.f64 1/2 b) 1))))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.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 b (+.f64 1 (exp.f64 a)))
(*.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)))))
(/.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)))
Outputs
(/.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 b 1/2)
(+.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 1/2 (*.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 b (*.f64 -1/4 (*.f64 b a)))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(-.f64 (*.f64 b (fma.f64 a -1/4 1/2)) (*.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(/.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 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (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 b 1/2 (log.f64 2)))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 b 1/2 (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 b 1/2 (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 b 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 b 1/2 (fma.f64 (neg.f64 (pow.f64 a 3)) (+.f64 0 (*.f64 b -1/48)) (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))))
(-.f64 (fma.f64 a (fma.f64 b -1/4 1/2) (fma.f64 b 1/2 (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) (*.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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))))
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(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(*.f64 b (fma.f64 a -1/4 1/2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a)))))
(fma.f64 b 1/2 (-.f64 (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(-.f64 (*.f64 b (fma.f64 a -1/4 1/2)) (*.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(/.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)))

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize10.0ms (0.1%)

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.0b
(log1p.f64 (exp.f64 b))
✓2.0b
(log1p.f64 (exp.f64 b))
Compiler

Compiled 8 to 4 computations (50% saved)

series33.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
19.0ms
b
@-inf
(log1p.f64 (exp.f64 b))
13.0ms
b
@inf
(log1p.f64 (exp.f64 b))
0.0ms
b
@0
(log1p.f64 (exp.f64 b))

rewrite42.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
318×pow1_binary64
312×associate-*l*_binary64
305×add-sqr-sqrt_binary64
300×*-un-lft-identity_binary64
291×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
1735
28195
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/4) (*.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5)) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 5)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) 1) (+.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 1 (log1p.f64 (exp.f64 b)))) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 1 (log1p.f64 (exp.f64 b)))) 1) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 b)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 b))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 b)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) 2))))))

simplify59.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
580×associate-/l/_binary64
556×associate-/r/_binary64
462×associate-*l*_binary64
426×associate-/l*_binary64
421×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02387
15185
29985
324879
468379
5219779
6357479
7401379
8491279
Stop Event
1×node limit
Counts
56 → 53
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4))))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 1/2 b (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 b (fma.f64 b 1/8 1/2) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))

localize24.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
1.4b
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
0.1b
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
0.0b
(/.f64 b (+.f64 (exp.f64 a) 1))
0.0b
(/.f64 b (+.f64 (exp.f64 a) 1))
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
✓0.1b
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
✓1.4b
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
Compiler

Compiled 53 to 25 computations (52.8% saved)

series49.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
16.0ms
a
@inf
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
16.0ms
a
@-inf
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
10.0ms
b
@inf
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
2.0ms
a
@0
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
1.0ms
b
@0
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite96.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
810×prod-diff_binary64
490×log-prod_binary64
293×fma-def_binary64
267×pow2_binary64
183×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
121550
2287050
Stop Event
1×node limit
Counts
3 → 199
Calls
Call 1
Inputs
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify60.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
780×times-frac_binary64
560×associate-*r*_binary64
543×fma-def_binary64
529×associate-*l*_binary64
415×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351859
14421743
216781650
Stop Event
1×node limit
Counts
271 → 168
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (*.f64 1/4 (/.f64 b (+.f64 (*.f64 1/2 b) (log.f64 2)))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (*.f64 1/4 (/.f64 b (+.f64 (*.f64 1/2 b) (log.f64 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2))) (*.f64 2 (/.f64 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))) (+.f64 (*.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (*.f64 1/4 (/.f64 b (+.f64 (*.f64 1/2 b) (log.f64 2)))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -6 (/.f64 (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))) (+.f64 (*.f64 1/2 b) (log.f64 2)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 3) (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 3))) (*.f64 -6 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2))) (*.f64 2 (/.f64 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))) (+.f64 (*.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 a))))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 b (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)))) (+.f64 (/.f64 b (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)))) (log.f64 (log.f64 (+.f64 1 (exp.f64 a)))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 a)))) b)))
(+.f64 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2))))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)) (pow.f64 b 3))) (+.f64 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (log.f64 (+.f64 1 (exp.f64 a)))) b)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2))))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 3)) (pow.f64 b 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (*.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 1 (exp.f64 a))) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (log.f64 (+.f64 1 (exp.f64 a))) 2)) (pow.f64 b 2)))))))
(+.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 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (log.f64 2)))
(fma.f64 (fma.f64 b -1/4 1/2) a (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 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 1/2 b (fma.f64 a (*.f64 a 1/8) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(-.f64 (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 1/2 b (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) (*.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(+.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))))
(log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))
(log.f64 (fma.f64 1/2 b (log.f64 2)))
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (*.f64 1/4 (/.f64 b (+.f64 (*.f64 1/2 b) (log.f64 2)))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(fma.f64 a (-.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (*.f64 1/4 (/.f64 b (fma.f64 1/2 b (log.f64 2))))) (log.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 a (+.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (*.f64 b -1/4) (fma.f64 1/2 b (log.f64 2)))) (log.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 a (/.f64 (fma.f64 b -1/4 1/2) (fma.f64 1/2 b (log.f64 2))) (log.f64 (fma.f64 1/2 b (log.f64 2))))
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 1/2 b) (log.f64 2)))) (*.f64 1/4 (/.f64 b (+.f64 (*.f64 1/2 b) (log.f64 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1/2 (*.f64 1/4 b)) 2) (pow.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)) 2))) (*.f64 2 (/.f64 (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))) (+.f64 (*.f64 1/2 b) (log.f64 2))))))) (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2)))))
(fma.f64 a (-.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (*.f64 1/4 (/.f64 b (fma.f64 1/2 b (log.f64 2))))) (fma.f64 1/2 (*.f64 (*.f64 a a) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/4 b)) 2) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)) (*.f64 2 (/.f64 (-.f64 1/8 (*.f64 b 0)) (fma.f64 1/2 b (log.f64 2)))))) (log.f64 (fma.f64 1/2 b (log.f64 2)))))
(fma.f64 a (+.f64 (/.f64 1/2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (*.f64 b -1/4) (fma.f64 1/2 b (log.f64 2)))) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1/4 (fma.f64 1/2 b (log.f64 2))) (/.f64 (pow.f64 (+.f64 1/2 (*.f64 b -1/4)) 2) (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2)))) (log.f64 (fma.f64 1/2 b (log.f64 2)))))
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(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2))))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2))))
(fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 1/2 b (fma.f64 a (*.f64 a 1/8) (log.f64 2))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/8 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 -1/4 b)) a (fma.f64 1/2 b (fma.f64 -1 (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (fma.f64 (*.f64 a a) (-.f64 1/8 (*.f64 b 0)) (log.f64 2)))))
(fma.f64 (+.f64 1/2 (*.f64 b -1/4)) a (fma.f64 1/2 b (-.f64 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(-.f64 (fma.f64 (fma.f64 b -1/4 1/2) a (fma.f64 1/2 b (fma.f64 a (*.f64 a 1/8) (log.f64 2)))) (*.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(+.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))))

eval282.0ms (1.4%)

Compiler

Compiled 9175 to 5341 computations (41.8% saved)

prune140.0ms (0.7%)

Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New42711438
Fresh369
Picked101
Done156
Total43222454
Error
1.0b
Counts
454 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
25.9b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (*.f64 b 1/2))))
30.7b
(log.f64 (+.f64 2 b))
25.3b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))
32.5b
(/.f64 b (+.f64 1 (exp.f64 a)))
30.5b
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
18.4b
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3))
31.2b
(log.f64 (+.f64 1 (+.f64 a (exp.f64 b))))
▶31.0b
(log.f64 2)
24.7b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
✓30.1b
(log1p.f64 (exp.f64 b))
25.3b
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))
✓30.2b
(log1p.f64 (exp.f64 a))
✓62.9b
(log.f64 b)
▶2.2b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))
▶63.0b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
30.5b
(+.f64 (*.f64 1/2 b) (log.f64 2))
▶30.7b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
✓31.4b
(+.f64 (*.f64 1/2 a) (log.f64 2))
✓27.3b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
49.9b
(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
▶19.2b
(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))
63.0b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))))))
Compiler

Compiled 528 to 386 computations (26.9% saved)

localize56.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))
0.0b
(log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))
0.0b
(/.f64 b (+.f64 (exp.f64 a) 1))
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))
✓0.0b
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
✓0.1b
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
✓0.1b
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
Compiler

Compiled 68 to 40 computations (41.2% saved)

series63.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
21.0ms
a
@-inf
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
18.0ms
a
@inf
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
5.0ms
a
@0
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
4.0ms
b
@-inf
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
4.0ms
b
@inf
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))

rewrite83.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
528×log-prod_binary64
331×fma-def_binary64
329×pow-prod-down_binary64
287×pow2_binary64
206×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
125149
2311949
Stop Event
1×node limit
Counts
4 → 181
Calls
Call 1
Inputs
(expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 b) (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(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 (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 (pow.f64 (+.f64 (exp.f64 a) 1) -1/2) (/.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 *.f64 (/.f64 b (+.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 b (expm1.f64 (+.f64 a a))) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 b) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (+.f64 -1 (neg.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 b)) (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1) (+.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (+.f64 1 (*.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) 1) (+.f64 (+.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b 1) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.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)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -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 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b (expm1.f64 (+.f64 a a))) (expm1.f64 a) (log1p.f64 (exp.f64 a)))))))

simplify157.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
882×associate-/l*_binary64
877×distribute-rgt-in_binary64
855×distribute-lft-in_binary64
255×fma-def_binary64
205×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02713327
18793001
236522757
Stop Event
1×node limit
Counts
277 → 265
Calls
Call 1
Inputs
(/.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 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)))))
(/.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 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (/.f64 1 b))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (/.f64 1 b)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 3))) (/.f64 1 b))))))
(log.f64 (+.f64 (*.f64 1/2 b) 1))
(+.f64 (log.f64 (+.f64 (*.f64 1/2 b) 1)) (*.f64 -1/4 (/.f64 (*.f64 a b) (+.f64 (*.f64 1/2 b) 1))))
(+.f64 (log.f64 (+.f64 (*.f64 1/2 b) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2))) (*.f64 -2 (/.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (+.f64 (*.f64 1/2 b) 1)))))) (*.f64 -1/4 (/.f64 (*.f64 a b) (+.f64 (*.f64 1/2 b) 1)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 -3/2 (/.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) b) (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 (*.f64 1/2 b) 1) 3))) (*.f64 -6 (/.f64 (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))) (+.f64 (*.f64 1/2 b) 1))))))) (+.f64 (log.f64 (+.f64 (*.f64 1/2 b) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2))) (*.f64 -2 (/.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (+.f64 (*.f64 1/2 b) 1)))))) (*.f64 -1/4 (/.f64 (*.f64 a b) (+.f64 (*.f64 1/2 b) 1))))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 7/6 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 7/6 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 -35/24 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))) b)) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))) b)) (log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))) b)) (+.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))) b)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))) 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b)))))))) (pow.f64 b 2))) (log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b)))))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))) b)) (+.f64 (/.f64 (exp.f64 a) (*.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))) b)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))) 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b)))))))) (pow.f64 b 2))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))) 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))) 3))) (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))))))) (pow.f64 b 3))) (log.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))))))))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))
(+.f64 (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (+.f64 (/.f64 1 (*.f64 b (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) (/.f64 (exp.f64 a) (*.f64 b (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))) 2)))) (pow.f64 b 2))) (+.f64 (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (+.f64 (/.f64 1 (*.f64 b (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) (/.f64 (exp.f64 a) (*.f64 b (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))) 3))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))))) (pow.f64 b 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))) 2)))) (pow.f64 b 2))) (+.f64 (log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (+.f64 (/.f64 1 (*.f64 b (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a))))))))) (/.f64 (exp.f64 a) (*.f64 b (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 1 (log.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 a b) (*.f64 (+.f64 (*.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (log.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 a b) (*.f64 (+.f64 (*.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (+.f64 (log.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1))) 2)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (*.f64 -2 (/.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (*.f64 (+.f64 (*.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))))) (pow.f64 a 2)))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3/2 (/.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) b) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (+.f64 (*.f64 3/4 (/.f64 (*.f64 b (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2))) (*.f64 -2 (/.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (+.f64 (*.f64 1/2 b) 1))))) (*.f64 (+.f64 (*.f64 1/2 b) 1) (pow.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1))) 2)))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1))) 3)))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 3) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (*.f64 -6 (/.f64 (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))) (*.f64 (+.f64 (*.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))))))) (pow.f64 a 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 a b) (*.f64 (+.f64 (*.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (+.f64 (log.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1))) 2)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (*.f64 -2 (/.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (*.f64 (+.f64 (*.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))))) (pow.f64 a 2))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(+.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 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 b 1/2)
(+.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 1/2 (*.f64 a -1/4)))
(+.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 1/2 (*.f64 a -1/4)))
(+.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 b 1/2 (fma.f64 (neg.f64 (pow.f64 a 3)) (+.f64 0 (*.f64 b -1/48)) (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0)))))
(-.f64 (*.f64 b (+.f64 1/2 (*.f64 a -1/4))) (*.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(/.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 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 -1/2 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (*.f64 1/3 (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(fma.f64 -1/2 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (*.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 b b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 b (+.f64 1 (exp.f64 a)))) (/.f64 (*.f64 1/3 (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (fma.f64 -1/2 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (fma.f64 1/3 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (fma.f64 -1/2 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (fma.f64 1/3 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (*.f64 -1 (log.f64 (/.f64 1 b))))
(+.f64 (neg.f64 (log1p.f64 (exp.f64 a))) (neg.f64 (neg.f64 (log.f64 b))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))))
(+.f64 (+.f64 (/.f64 (exp.f64 a) b) (neg.f64 (log1p.f64 (exp.f64 a)))) (fma.f64 -1 (neg.f64 (log.f64 b)) (/.f64 1 b)))
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(+.f64 (*.f64 -1/4 (/.f64 (*.f64 a b) (*.f64 (+.f64 (*.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (+.f64 (log.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1))) 2)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (*.f64 -2 (/.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (*.f64 (+.f64 (*.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))))) (pow.f64 a 2)))))
(+.f64 (fma.f64 -1/4 (*.f64 (/.f64 a (fma.f64 1/2 b 1)) (/.f64 b (+.f64 1 (log.f64 (fma.f64 1/2 b 1))))) (log1p.f64 (log.f64 (fma.f64 1/2 b 1)))) (*.f64 1/2 (*.f64 (*.f64 a a) (fma.f64 -1/16 (/.f64 (/.f64 (*.f64 b b) (pow.f64 (fma.f64 1/2 b 1) 2)) (pow.f64 (+.f64 1 (log.f64 (fma.f64 1/2 b 1))) 2)) (fma.f64 -1/16 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (fma.f64 1/2 b 1) 2) (+.f64 1 (log.f64 (fma.f64 1/2 b 1))))) (*.f64 -2 (/.f64 (*.f64 b 0) (*.f64 (fma.f64 1/2 b 1) (+.f64 1 (log.f64 (fma.f64 1/2 b 1)))))))))))
(fma.f64 -1/4 (*.f64 (/.f64 b (fma.f64 b 1/2 1)) (/.f64 a (+.f64 1 (log1p.f64 (*.f64 b 1/2))))) (fma.f64 1/2 (*.f64 (*.f64 a a) (fma.f64 -1/16 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (log1p.f64 (*.f64 b 1/2))) 2)) (/.f64 b (pow.f64 (fma.f64 b 1/2 1) 2))) (fma.f64 -1/16 (/.f64 b (/.f64 (+.f64 1 (log1p.f64 (*.f64 b 1/2))) (/.f64 b (pow.f64 (fma.f64 b 1/2 1) 2)))) (/.f64 (/.f64 0 (fma.f64 b 1/2 1)) (+.f64 1 (log1p.f64 (*.f64 b 1/2))))))) (log1p.f64 (log1p.f64 (*.f64 b 1/2)))))
(fma.f64 -1/4 (*.f64 (/.f64 b (fma.f64 b 1/2 1)) (/.f64 a (+.f64 1 (log1p.f64 (*.f64 b 1/2))))) (fma.f64 1/2 (+.f64 0 (*.f64 (*.f64 (*.f64 (/.f64 b (pow.f64 (fma.f64 b 1/2 1) 2)) b) (+.f64 (/.f64 -1/16 (pow.f64 (+.f64 1 (log1p.f64 (*.f64 b 1/2))) 2)) (/.f64 -1/16 (+.f64 1 (log1p.f64 (*.f64 b 1/2)))))) (*.f64 a a))) (log1p.f64 (log1p.f64 (*.f64 b 1/2)))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3/2 (/.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) b) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (+.f64 (*.f64 3/4 (/.f64 (*.f64 b (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2))) (*.f64 -2 (/.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (+.f64 (*.f64 1/2 b) 1))))) (*.f64 (+.f64 (*.f64 1/2 b) 1) (pow.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1))) 2)))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 3) (pow.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1))) 3)))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 3) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (*.f64 -6 (/.f64 (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))) (*.f64 (+.f64 (*.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))))))) (pow.f64 a 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 a b) (*.f64 (+.f64 (*.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (+.f64 (log.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1))) 2)))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 b 2) (*.f64 (pow.f64 (+.f64 (*.f64 1/2 b) 1) 2) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))) (*.f64 -2 (/.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (*.f64 (+.f64 (*.f64 1/2 b) 1) (+.f64 1 (log.f64 (+.f64 (*.f64 1/2 b) 1)))))))) (pow.f64 a 2))))))
(fma.f64 1/6 (*.f64 (pow.f64 a 3) (fma.f64 -3/2 (/.f64 (*.f64 b (*.f64 b 0)) (*.f64 (pow.f64 (fma.f64 1/2 b 1) 2) (+.f64 1 (log.f64 (fma.f64 1/2 b 1))))) (fma.f64 3/4 (/.f64 b (/.f64 (*.f64 (fma.f64 1/2 b 1) (pow.f64 (+.f64 1 (log.f64 (fma.f64 1/2 b 1))) 2)) (fma.f64 -1/16 (/.f64 (*.f64 b b) (pow.f64 (fma.f64 1/2 b 1) 2)) (/.f64 (*.f64 -2 (*.f64 b 0)) (fma.f64 1/2 b 1))))) (fma.f64 -1/32 (/.f64 (/.f64 (pow.f64 b 3) (pow.f64 (fma.f64 1/2 b 1) 3)) (pow.f64 (+.f64 1 (log.f64 (fma.f64 1/2 b 1))) 3)) (fma.f64 -1/32 (/.f64 (/.f64 (pow.f64 b 3) (pow.f64 (fma.f64 1/2 b 1) 3)) (+.f64 1 (log.f64 (fma.f64 1/2 b 1)))) (/.f64 (*.f64 -6 (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (*.f64 (fma.f64 1/2 b 1) (+.f64 1 (log.f64 (fma.f64 1/2 b 1)))))))))) (+.f64 (fma.f64 -1/4 (*.f64 (/.f64 a (fma.f64 1/2 b 1)) (/.f64 b (+.f64 1 (log.f64 (fma.f64 1/2 b 1))))) (log1p.f64 (log.f64 (fma.f64 1/2 b 1)))) (*.f64 1/2 (*.f64 (*.f64 a a) (fma.f64 -1/16 (/.f64 (/.f64 (*.f64 b b) (pow.f64 (fma.f64 1/2 b 1) 2)) (pow.f64 (+.f64 1 (log.f64 (fma.f64 1/2 b 1))) 2)) (fma.f64 -1/16 (/.f64 (*.f64 b b) (*.f64 (pow.f64 (fma.f64 1/2 b 1) 2) (+.f64 1 (log.f64 (fma.f64 1/2 b 1))))) (*.f64 -2 (/.f64 (*.f64 b 0) (*.f64 (fma.f64 1/2 b 1) (+.f64 1 (log.f64 (fma.f64 1/2 b 1))))))))))))
(fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 0 (*.f64 (pow.f64 (fma.f64 b 1/2 1) 2) (+.f64 1 (log1p.f64 (*.f64 b 1/2))))) (fma.f64 3/4 (*.f64 (/.f64 (fma.f64 -1/16 (/.f64 (*.f64 b b) (pow.f64 (fma.f64 b 1/2 1) 2)) (/.f64 0 (fma.f64 b 1/2 1))) (fma.f64 b 1/2 1)) (/.f64 b (pow.f64 (+.f64 1 (log1p.f64 (*.f64 b 1/2))) 2))) (fma.f64 -1/32 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (fma.f64 b 1/2 1) 3) (pow.f64 (+.f64 1 (log1p.f64 (*.f64 b 1/2))) 3))) (fma.f64 -1/32 (/.f64 (pow.f64 b 3) (*.f64 (pow.f64 (fma.f64 b 1/2 1) 3) (+.f64 1 (log1p.f64 (*.f64 b 1/2))))) (*.f64 -6 (/.f64 (+.f64 0 (*.f64 b -1/48)) (*.f64 (fma.f64 b 1/2 1) (+.f64 1 (log1p.f64 (*.f64 b 1/2))))))))))) (fma.f64 -1/4 (*.f64 (/.f64 b (fma.f64 b 1/2 1)) (/.f64 a (+.f64 1 (log1p.f64 (*.f64 b 1/2))))) (fma.f64 1/2 (*.f64 (*.f64 a a) (fma.f64 -1/16 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (log1p.f64 (*.f64 b 1/2))) 2)) (/.f64 b (pow.f64 (fma.f64 b 1/2 1) 2))) (fma.f64 -1/16 (/.f64 b (/.f64 (+.f64 1 (log1p.f64 (*.f64 b 1/2))) (/.f64 b (pow.f64 (fma.f64 b 1/2 1) 2)))) (/.f64 (/.f64 0 (fma.f64 b 1/2 1)) (+.f64 1 (log1p.f64 (*.f64 b 1/2))))))) (log1p.f64 (log1p.f64 (*.f64 b 1/2))))))
(fma.f64 (+.f64 0 (*.f64 (fma.f64 3/4 (/.f64 b (*.f64 (/.f64 (fma.f64 b 1/2 1) (fma.f64 -1/16 (*.f64 (/.f64 b (pow.f64 (fma.f64 b 1/2 1) 2)) b) 0)) (pow.f64 (+.f64 1 (log1p.f64 (*.f64 b 1/2))) 2))) (+.f64 (*.f64 -6 (/.f64 (/.f64 (*.f64 b -1/48) (fma.f64 b 1/2 1)) (+.f64 1 (log1p.f64 (*.f64 b 1/2))))) (*.f64 (pow.f64 (/.f64 b (fma.f64 b 1/2 1)) 3) (+.f64 (/.f64 -1/32 (pow.f64 (+.f64 1 (log1p.f64 (*.f64 b 1/2))) 3)) (/.f64 -1/32 (+.f64 1 (log1p.f64 (*.f64 b 1/2)))))))) 1/6)) (pow.f64 a 3) (fma.f64 -1/4 (*.f64 (/.f64 b (fma.f64 b 1/2 1)) (/.f64 a (+.f64 1 (log1p.f64 (*.f64 b 1/2))))) (fma.f64 1/2 (+.f64 0 (*.f64 (*.f64 (*.f64 (/.f64 b (pow.f64 (fma.f64 b 1/2 1) 2)) b) (+.f64 (/.f64 -1/16 (pow.f64 (+.f64 1 (log1p.f64 (*.f64 b 1/2))) 2)) (/.f64 -1/16 (+.f64 1 (log1p.f64 (*.f64 b 1/2)))))) (*.f64 a a))) (log1p.f64 (log1p.f64 (*.f64 b 1/2))))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(log.f64 (+.f64 (log.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))) 1))
(log.f64 (+.f64 1 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))
(log1p.f64 (log1p.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (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 b 1/2 (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 b 1/2 (fma.f64 (*.f64 a 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 b 1/2 (fma.f64 (neg.f64 (pow.f64 a 3)) (+.f64 0 (*.f64 b -1/48)) (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))))
(-.f64 (fma.f64 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 b 1/2 (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))) (*.f64 (pow.f64 a 3) (*.f64 b -1/48)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.f64 1 (exp.f64 a))) (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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.f64 1 (exp.f64 a))) (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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))

localize4.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
0.0b
(+.f64 1 (log1p.f64 (exp.f64 a)))
✓0.0b
(+.f64 1 (log1p.f64 (exp.f64 a)))
✓0.5b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
Compiler

Compiled 21 to 11 computations (47.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
a
@0
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
0.0ms
a
@0
(+.f64 1 (log1p.f64 (exp.f64 a)))
0.0ms
a
@inf
(+.f64 1 (log1p.f64 (exp.f64 a)))
0.0ms
a
@inf
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
0.0ms
a
@-inf
(+.f64 1 (log1p.f64 (exp.f64 a)))

rewrite55.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
694×pow1_binary64
648×add-log-exp_binary64
648×expm1-log1p-u_binary64
647×log1p-expm1-u_binary64
636×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
114913
2203213
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
(+.f64 1 (log1p.f64 (exp.f64 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 a)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 a)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2) (+.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2) (+.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 a)) 2) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2) (+.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2) -1) (+.f64 (log1p.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2) -1) (-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2) (+.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 a)) -1) (+.f64 (log1p.f64 (exp.f64 a)) -1)) (+.f64 (log1p.f64 (exp.f64 a)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 a)) -1) (+.f64 (log1p.f64 (exp.f64 a)) -1))) (-.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 (exp.f64 a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 1 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (/.f64 1 (+.f64 1 (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) -1))) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 a))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (+.f64 1 (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (-.f64 1 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 3))) (neg.f64 (+.f64 1 (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 1) (+.f64 (log1p.f64 (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 3)) 1) (+.f64 1 (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 (log1p.f64 (exp.f64 a)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1) (-.f64 1 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (E.f64) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) 1)))))

simplify70.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
819×fma-def_binary64
583×associate-/l/_binary64
559×associate-/r/_binary64
448×associate-*l*_binary64
417×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030214
173210
2167206
3411194
41082194
52883194
64260194
74701194
85602194
Stop Event
1×node limit
Counts
95 → 88
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 1 (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 1 (log.f64 2)))
(+.f64 (*.f64 1/2 a) (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))))
(+.f64 (*.f64 1/2 a) (+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 a) (log.f64 2))
(fma.f64 1/2 a (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2))))
(fma.f64 1/2 a (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 a a))))
(fma.f64 1/2 a (fma.f64 1/8 (*.f64 a a) (log.f64 2)))
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (log.f64 2)))
(fma.f64 a (fma.f64 a 1/8 1/2) (log.f64 2))
(+.f64 (*.f64 1/2 a) (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2)))))
(fma.f64 1/2 a (+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4))))
(fma.f64 1/2 a (fma.f64 a (*.f64 a 1/8) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))))
(fma.f64 -1/192 (pow.f64 a 4) (fma.f64 a (fma.f64 a 1/8 1/2) (log.f64 2)))
(fma.f64 a (fma.f64 a 1/8 1/2) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(+.f64 (*.f64 1/2 a) (+.f64 1 (log.f64 2)))
(fma.f64 1/2 a (+.f64 (log.f64 2) 1))
(+.f64 (log.f64 2) (fma.f64 1/2 a 1))
(+.f64 (*.f64 1/2 a) (+.f64 1 (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 a 2)))))
(fma.f64 1/2 a (+.f64 (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 a a))) 1))
(+.f64 (fma.f64 1/8 (*.f64 a a) (log.f64 2)) (fma.f64 1/2 a 1))
(+.f64 (fma.f64 1/2 a (log.f64 2)) (fma.f64 1/8 (*.f64 a a) 1))
(+.f64 (log.f64 2) (fma.f64 a (fma.f64 a 1/8 1/2) 1))
(+.f64 (*.f64 1/2 a) (+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 -1/192 (pow.f64 a 4)) (*.f64 1/8 (pow.f64 a 2))))))
(fma.f64 1/2 a (+.f64 (+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 a 4) (*.f64 1/8 (*.f64 a a)))) 1))
(+.f64 (+.f64 (log.f64 2) (fma.f64 1/8 (*.f64 a a) (*.f64 -1/192 (pow.f64 a 4)))) (fma.f64 1/2 a 1))
(+.f64 (fma.f64 a (*.f64 a 1/8) (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2))) (fma.f64 1/2 a 1))
(+.f64 (fma.f64 a (fma.f64 a 1/8 1/2) (log.f64 2)) (fma.f64 -1/192 (pow.f64 a 4) 1))
(+.f64 (fma.f64 -1/192 (pow.f64 a 4) (log.f64 2)) (fma.f64 a (fma.f64 a 1/8 1/2) 1))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 1 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 1 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 1 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 1 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 1 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 1 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 1 (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) 1)
(+.f64 1 (log1p.f64 (exp.f64 a)))

localize39.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
37.5b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))
0.3b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)
0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))
0.0b
(/.f64 (+.f64 (exp.f64 a) 1) b)
✓0.0b
(/.f64 (+.f64 (exp.f64 a) 1) b)
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))
✓0.3b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)
✓37.5b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))
Compiler

Compiled 51 to 29 computations (43.1% saved)

series31.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
a
@inf
(pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)
4.0ms
b
@-inf
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))
3.0ms
a
@0
(pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)
3.0ms
a
@-inf
(pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)
2.0ms
b
@-inf
(pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)

rewrite130.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
630×prod-diff_binary64
555×log-prod_binary64
315×pow2_binary64
271×fma-def_binary64
216×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01256
125652
2335546
Stop Event
1×node limit
Counts
4 → 154
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)
(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))
(/.f64 (+.f64 (exp.f64 a) 1) b)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3/2) (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) 1) -3) (pow.f64 (/.f64 1 b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 2)) -3) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)) -3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3/2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 1) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (pow.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 (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (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 sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (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 (exp.f64 a) 1)))) (/.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 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(/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (exp.f64 a) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 a) 1) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (exp.f64 a) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 2)) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)) (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (neg.f64 b) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 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 (+.f64 (exp.f64 a) 1) b) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 b 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (exp.f64 a) 1) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (exp.f64 a) 1) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (exp.f64 a) 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b)) 1))))))

simplify127.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
959×fma-neg_binary64
603×associate-*l*_binary64
557×associate-*r*_binary64
497×associate-+l+_binary64
479×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01221515
14131381
218771308
375301308
Stop Event
1×node limit
Counts
250 → 193
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)))))
(/.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 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 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a))))
(*.f64 1/8 (pow.f64 b 3))
(+.f64 (*.f64 1/8 (pow.f64 b 3)) (*.f64 a (+.f64 (*.f64 -1/16 (pow.f64 b 3)) (*.f64 -1/8 (pow.f64 b 3)))))
(+.f64 (*.f64 1/8 (pow.f64 b 3)) (+.f64 (*.f64 a (+.f64 (*.f64 -1/16 (pow.f64 b 3)) (*.f64 -1/8 (pow.f64 b 3)))) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 b 2))) (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) b)) (*.f64 1/16 (pow.f64 b 2))) b)))))))
(+.f64 (*.f64 1/8 (pow.f64 b 3)) (+.f64 (*.f64 a (+.f64 (*.f64 -1/16 (pow.f64 b 3)) (*.f64 -1/8 (pow.f64 b 3)))) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (*.f64 b (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) b))) b)) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) b)) (*.f64 1/16 (pow.f64 b 2))) b)) (*.f64 -1/4 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))))) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 b 2))) (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) b)) (*.f64 1/16 (pow.f64 b 2))) b))))))))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.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 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a)))))
(/.f64 2 b)
(+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) b)) (*.f64 2 (/.f64 1 b)))))
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
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 1/2 (*.f64 -1/4 a)))
(+.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 1/2 (*.f64 -1/4 a)))
(+.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 (*.f64 0 a) a)) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48)))))
(-.f64 (*.f64 b (+.f64 1/2 (*.f64 -1/4 a))) (*.f64 b (*.f64 -1/48 (pow.f64 a 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 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 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 (*.f64 b (cbrt.f64 -1)) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 b) (cbrt.f64 -1)) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (cbrt.f64 -1) (+.f64 1 (exp.f64 a))) (neg.f64 b))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 (*.f64 b (cbrt.f64 -1)) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 b) (cbrt.f64 -1)) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (cbrt.f64 -1) (+.f64 1 (exp.f64 a))) (neg.f64 b))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 (*.f64 b (cbrt.f64 -1)) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 b) (cbrt.f64 -1)) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (cbrt.f64 -1) (+.f64 1 (exp.f64 a))) (neg.f64 b))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 (*.f64 b (cbrt.f64 -1)) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 b) (cbrt.f64 -1)) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (cbrt.f64 -1) (+.f64 1 (exp.f64 a))) (neg.f64 b))
(*.f64 1/8 (pow.f64 b 3))
(+.f64 (*.f64 1/8 (pow.f64 b 3)) (*.f64 a (+.f64 (*.f64 -1/16 (pow.f64 b 3)) (*.f64 -1/8 (pow.f64 b 3)))))
(fma.f64 1/8 (pow.f64 b 3) (*.f64 a (*.f64 (pow.f64 b 3) -3/16)))
(fma.f64 a (*.f64 (pow.f64 b 3) -3/16) (*.f64 1/8 (pow.f64 b 3)))
(*.f64 (pow.f64 b 3) (+.f64 1/8 (*.f64 a -3/16)))
(+.f64 (*.f64 1/8 (pow.f64 b 3)) (+.f64 (*.f64 a (+.f64 (*.f64 -1/16 (pow.f64 b 3)) (*.f64 -1/8 (pow.f64 b 3)))) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 b 2))) (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) b)) (*.f64 1/16 (pow.f64 b 2))) b)))))))
(fma.f64 1/8 (pow.f64 b 3) (fma.f64 a (*.f64 (pow.f64 b 3) -3/16) (*.f64 (*.f64 a a) (fma.f64 -1/4 (*.f64 (*.f64 b 0) (*.f64 b b)) (fma.f64 1/16 (pow.f64 b 3) (*.f64 1/2 (*.f64 b (fma.f64 -1 (*.f64 b (*.f64 b 0)) (*.f64 (*.f64 b b) 1/16)))))))))
(fma.f64 1/8 (pow.f64 b 3) (fma.f64 (*.f64 a a) (+.f64 0 (fma.f64 1/2 (+.f64 0 (*.f64 (pow.f64 b 3) 1/16)) (*.f64 (pow.f64 b 3) 1/16))) (*.f64 (pow.f64 b 3) (*.f64 -3/16 a))))
(+.f64 (*.f64 (pow.f64 b 3) (+.f64 1/8 (*.f64 a -3/16))) (*.f64 a (*.f64 a (*.f64 3/2 (*.f64 (pow.f64 b 3) 1/16)))))
(+.f64 (*.f64 1/8 (pow.f64 b 3)) (+.f64 (*.f64 a (+.f64 (*.f64 -1/16 (pow.f64 b 3)) (*.f64 -1/8 (pow.f64 b 3)))) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (*.f64 b (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) b))) b)) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) b)) (*.f64 1/16 (pow.f64 b 2))) b)) (*.f64 -1/4 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))))) (*.f64 (pow.f64 a 2) (+.f64 (*.f64 -1/4 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 b 2))) (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) b)) (*.f64 1/16 (pow.f64 b 2))) b))))))))
(fma.f64 1/8 (pow.f64 b 3) (fma.f64 a (*.f64 (pow.f64 b 3) -3/16) (fma.f64 (pow.f64 a 3) (fma.f64 1/2 (*.f64 b (fma.f64 -1 (*.f64 b (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 (*.f64 b 0) -1/2)))) (*.f64 1/2 (*.f64 b (*.f64 b 0))))) (fma.f64 1/4 (*.f64 (*.f64 b 0) (*.f64 b b)) (*.f64 -1/4 (+.f64 (*.f64 b (fma.f64 -1 (*.f64 b (*.f64 b 0)) (*.f64 (*.f64 b b) 1/16))) (*.f64 (fma.f64 -1/16 b (fma.f64 1/24 b (*.f64 (*.f64 b 0) -1/2))) (*.f64 b b)))))) (*.f64 (*.f64 a a) (fma.f64 -1/4 (*.f64 (*.f64 b 0) (*.f64 b b)) (fma.f64 1/16 (pow.f64 b 3) (*.f64 1/2 (*.f64 b (fma.f64 -1 (*.f64 b (*.f64 b 0)) (*.f64 (*.f64 b b) 1/16))))))))))
(fma.f64 1/8 (pow.f64 b 3) (fma.f64 a (*.f64 (pow.f64 b 3) -3/16) (fma.f64 (pow.f64 a 3) (fma.f64 1/2 (*.f64 b (+.f64 (*.f64 (neg.f64 b) (*.f64 b -1/48)) 0)) (fma.f64 -1/4 (fma.f64 b (fma.f64 (*.f64 b b) 1/16 0) (+.f64 (*.f64 (*.f64 b -1/48) (*.f64 b b)) 0)) 0)) (*.f64 a (*.f64 a (+.f64 0 (fma.f64 1/2 (+.f64 0 (*.f64 (pow.f64 b 3) 1/16)) (*.f64 (pow.f64 b 3) 1/16))))))))
(+.f64 (*.f64 (pow.f64 b 3) (+.f64 1/8 (*.f64 a -3/16))) (*.f64 (*.f64 a a) (+.f64 (*.f64 a (fma.f64 1/2 (neg.f64 (*.f64 (pow.f64 b 3) -1/48)) (*.f64 -1/4 (*.f64 1/24 (pow.f64 b 3))))) (*.f64 3/2 (*.f64 (pow.f64 b 3) 1/16)))))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(+.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)))
(+.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))))
(+.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 a (+.f64 1/2 (*.f64 b -1/4)) (fma.f64 1/2 b (fma.f64 (*.f64 a a) 1/8 (log.f64 2)))) (*.f64 b (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.f64 1 (exp.f64 a))) (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 (/.f64 b (+.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 (/.f64 b (+.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 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 (*.f64 b (cbrt.f64 -1)) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 b) (cbrt.f64 -1)) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (cbrt.f64 -1) (+.f64 1 (exp.f64 a))) (neg.f64 b))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a)))))
(+.f64 (neg.f64 (/.f64 (*.f64 b (cbrt.f64 -1)) (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 (cbrt.f64 -1) (/.f64 (+.f64 1 (exp.f64 a)) b)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a)))))
(+.f64 (neg.f64 (/.f64 (*.f64 b (cbrt.f64 -1)) (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 (cbrt.f64 -1) (/.f64 (+.f64 1 (exp.f64 a)) b)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (cbrt.f64 -1) b) (+.f64 1 (exp.f64 a)))))
(+.f64 (neg.f64 (/.f64 (*.f64 b (cbrt.f64 -1)) (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(-.f64 (log1p.f64 (exp.f64 a)) (/.f64 (cbrt.f64 -1) (/.f64 (+.f64 1 (exp.f64 a)) b)))
(/.f64 2 b)
(+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b)))
(+.f64 (/.f64 a b) (/.f64 2 b))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (*.f64 2 (/.f64 1 b))))
(fma.f64 1/2 (/.f64 (*.f64 a a) b) (+.f64 (/.f64 a b) (/.f64 2 b)))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 a (/.f64 b a)) (/.f64 a b)))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (*.f64 (/.f64 a b) a) (/.f64 a b)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) b)) (*.f64 2 (/.f64 1 b)))))
(fma.f64 1/2 (/.f64 (*.f64 a a) b) (+.f64 (/.f64 a b) (fma.f64 1/6 (/.f64 (pow.f64 a 3) b) (/.f64 2 b))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) b) (/.f64 2 b)) (fma.f64 1/2 (/.f64 a (/.f64 b a)) (/.f64 a b)))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) b) (/.f64 2 b)) (fma.f64 1/2 (*.f64 (/.f64 a b) a) (/.f64 a b)))
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)
(/.f64 (+.f64 1 (exp.f64 a)) b)

localize59.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
0.0b
(+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))
0.0b
(/.f64 (exp.f64 a) b)
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
✓0.0b
(+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
✓0.1b
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
✓0.1b
(expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
Compiler

Compiled 84 to 28 computations (66.7% saved)

series290.0ms (1.5%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
202.0ms
b
@0
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
26.0ms
a
@inf
(expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
17.0ms
b
@-inf
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
14.0ms
b
@inf
(+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
12.0ms
b
@inf
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))

rewrite114.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
543×fma-neg_binary64
294×log-div_binary64
292×expm1-udef_binary64
292×log1p-udef_binary64
242×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01493
131893
2515993
Stop Event
1×node limit
Counts
4 → 192
Calls
Call 1
Inputs
(expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 b (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))) (cbrt.f64 (/.f64 b (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))))) (cbrt.f64 (/.f64 b (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))) (sqrt.f64 (/.f64 b (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 a)))))))))

simplify93.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
561×associate-*l*_binary64
550×associate-*r*_binary64
412×times-frac_binary64
345×distribute-rgt-in_binary64
337×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01983491
16343244
221422986
Stop Event
1×node limit
Counts
288 → 273
Calls
Call 1
Inputs
(-.f64 (exp.f64 (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (/.f64 1 b))) (log1p.f64 (exp.f64 a)))) 1)
(-.f64 (exp.f64 (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (/.f64 1 b))) (log1p.f64 (exp.f64 a)))) 1)
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(-.f64 (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) 1)
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) b)) 1)
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(-.f64 (exp.f64 (-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) 1)
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(-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) b)) (log.f64 -1))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) b)) (log.f64 -1))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) b)) (log.f64 -1))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 b) (*.f64 a (-.f64 (/.f64 1 b) 1/2)))) (log.f64 2))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (/.f64 1 b)) 1/8)) (*.f64 a (-.f64 (/.f64 1 b) 1/2))))) (log.f64 2))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 b) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (/.f64 1 b)) 1/8)) (+.f64 (*.f64 a (-.f64 (/.f64 1 b) 1/2)) (*.f64 1/6 (/.f64 (pow.f64 a 3) b)))))) (log.f64 2))
(-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))) (log.f64 2)) 1)
(-.f64 (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))) (+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))) (-.f64 (/.f64 1 b) 1/2))) a))) 1)
(-.f64 (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))) (+.f64 (log.f64 2) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 1/8 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))) (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 b) 1/2) 2))) 1/8)))) (*.f64 (+.f64 1/2 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))) (-.f64 (/.f64 1 b) 1/2))) a)))) 1)
(-.f64 (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))) (+.f64 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (/.f64 1 b)) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (/.f64 1 b) 1/2) 3)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 b)) 1/8) (-.f64 (/.f64 1 b) 1/2)))))) (+.f64 (log.f64 2) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 1/8 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))) (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 b)) (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 b) 1/2) 2))) 1/8)))) (*.f64 (+.f64 1/2 (*.f64 (exp.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))) (-.f64 (/.f64 1 b) 1/2))) a))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (log.f64 b) (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (/.f64 1 b))) (log1p.f64 (exp.f64 a))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (/.f64 1 b))) (log1p.f64 (exp.f64 a))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (/.f64 1 b))) (log1p.f64 (exp.f64 a))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (/.f64 1 b))) (log1p.f64 (exp.f64 a))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) b))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 2))) (+.f64 (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) b)))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 3))) (+.f64 (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) b))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) b)))) 1)
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) 2) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 2))) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) b))))) 1)
(-.f64 (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) 3) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 3))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) 2) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 2))) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) b)))))) 1)
Outputs
(-.f64 (exp.f64 (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (/.f64 1 b))) (log1p.f64 (exp.f64 a)))) 1)
(expm1.f64 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (+.f64 (log.f64 b) (/.f64 1 b)) (log1p.f64 (exp.f64 a)))))
(expm1.f64 (+.f64 (log.f64 b) (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b)) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (exp.f64 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (/.f64 1 b) (log1p.f64 (exp.f64 a))))) -1)
(-.f64 (exp.f64 (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (/.f64 1 b))) (log1p.f64 (exp.f64 a)))) 1)
(expm1.f64 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (+.f64 (log.f64 b) (/.f64 1 b)) (log1p.f64 (exp.f64 a)))))
(expm1.f64 (+.f64 (log.f64 b) (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b)) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (exp.f64 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (/.f64 1 b) (log1p.f64 (exp.f64 a))))) -1)
(-.f64 (exp.f64 (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (/.f64 1 b))) (log1p.f64 (exp.f64 a)))) 1)
(expm1.f64 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (+.f64 (log.f64 b) (/.f64 1 b)) (log1p.f64 (exp.f64 a)))))
(expm1.f64 (+.f64 (log.f64 b) (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b)) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (exp.f64 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (/.f64 1 b) (log1p.f64 (exp.f64 a))))) -1)
(-.f64 (exp.f64 (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 b) (/.f64 1 b))) (log1p.f64 (exp.f64 a)))) 1)
(expm1.f64 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (+.f64 (log.f64 b) (/.f64 1 b)) (log1p.f64 (exp.f64 a)))))
(expm1.f64 (+.f64 (log.f64 b) (-.f64 (+.f64 (/.f64 (exp.f64 a) b) (/.f64 1 b)) (log1p.f64 (exp.f64 a)))))
(fma.f64 b (exp.f64 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (/.f64 1 b) (log1p.f64 (exp.f64 a))))) -1)
(-.f64 (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) 1)
(expm1.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a))))
(expm1.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(-.f64 (+.f64 (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) b)) 1)
(+.f64 (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a)))) (-.f64 (/.f64 (+.f64 (exp.f64 a) 1) (/.f64 b (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a)))))) 1))
(+.f64 (*.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (expm1.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(+.f64 -1 (*.f64 (+.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1) (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 2))) (+.f64 (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) b))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (/.f64 (*.f64 b b) (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a)))))) (+.f64 (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 (exp.f64 a) 1) (/.f64 b (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a)))))))) -1)
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (*.f64 b b)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (+.f64 (*.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (expm1.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))
(+.f64 (*.f64 (+.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1) (/.f64 b (+.f64 (exp.f64 a) 1))) (fma.f64 (/.f64 1/2 b) (/.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (/.f64 b (pow.f64 (+.f64 (exp.f64 a) 1) 2))) -1))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 3))) (+.f64 (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) b)))) 1)
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (/.f64 (*.f64 b b) (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a)))))) (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (/.f64 (pow.f64 b 3) (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a)))))) (+.f64 (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 (exp.f64 a) 1) (/.f64 b (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a))))))))) -1)
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (*.f64 b b)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (/.f64 (*.f64 (*.f64 1/6 (pow.f64 (+.f64 (exp.f64 a) 1) 3)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (pow.f64 b 3))) (+.f64 (*.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (expm1.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))
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(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1) (/.f64 b (+.f64 (exp.f64 a) 1))) (fma.f64 (/.f64 1/2 b) (/.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (/.f64 b (pow.f64 (+.f64 (exp.f64 a) 1) 2))) -1)))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 3))) (+.f64 (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))) b))))) 1)
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (/.f64 (*.f64 b b) (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a)))))) (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (/.f64 (pow.f64 b 3) (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a)))))) (+.f64 (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 (exp.f64 a) 1) (/.f64 b (exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 b))) (log1p.f64 (exp.f64 a))))))))) -1))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) (*.f64 b b)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (/.f64 (*.f64 (*.f64 1/6 (pow.f64 (+.f64 (exp.f64 a) 1) 3)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (pow.f64 b 3))) (+.f64 (*.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (expm1.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 b (*.f64 b (+.f64 (exp.f64 a) 1))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2) b)) (*.f64 (+.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) 1) (/.f64 b (+.f64 (exp.f64 a) 1)))) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) (pow.f64 b 3)) (/.f64 b (+.f64 (exp.f64 a) 1))) -1)))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) 1)
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (pow.f64 (/.f64 -1 b) -1) (/.f64 -1 (+.f64 (exp.f64 a) 1)) -1))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) b)))) 1)
(+.f64 (+.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))) (neg.f64 (/.f64 (fma.f64 -1 (exp.f64 a) -1) (/.f64 b (exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a)))))))) -1)
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 (neg.f64 (fma.f64 (exp.f64 a) -1 -1)) (/.f64 b (exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a)))))) (expm1.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))))
(+.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 (*.f64 (pow.f64 (/.f64 -1 b) -1) (+.f64 (exp.f64 a) 1)) (*.f64 b (+.f64 (exp.f64 a) 1)))) (fma.f64 (pow.f64 (/.f64 -1 b) -1) (/.f64 -1 (+.f64 (exp.f64 a) 1)) -1))
(-.f64 (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) 2) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 2))) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) b))))) 1)
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (exp.f64 a) -1) 2) (/.f64 (*.f64 b b) (exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a)))))) (+.f64 (exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (fma.f64 -1 (exp.f64 a) -1) (/.f64 b (exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))))))) -1))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 a) -1 -1) 2) (*.f64 b b)) (exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))) (+.f64 (/.f64 (neg.f64 (fma.f64 (exp.f64 a) -1 -1)) (/.f64 b (exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a)))))) (expm1.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 b) -1) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (*.f64 (*.f64 b b) (+.f64 (exp.f64 a) 1))) (-.f64 (fma.f64 (pow.f64 (/.f64 -1 b) -1) (/.f64 -1 (+.f64 (exp.f64 a) 1)) -1) (/.f64 (*.f64 (pow.f64 (/.f64 -1 b) -1) (+.f64 (exp.f64 a) 1)) (*.f64 b (+.f64 (exp.f64 a) 1))))))
(-.f64 (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) 3) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 3))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) 2) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) (pow.f64 b 2))) (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (exp.f64 a)) 1) (exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))) b)))))) 1)
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 (fma.f64 -1 (exp.f64 a) -1) 3) (/.f64 (pow.f64 b 3) (exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a)))))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (exp.f64 a) -1) 2) (/.f64 (*.f64 b b) (exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a)))))) (+.f64 (exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (fma.f64 -1 (exp.f64 a) -1) (/.f64 b (exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))))))))) -1)
(+.f64 (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 a) -1 -1) 3) (pow.f64 b 3)) (exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))) (log1p.f64 (exp.f64 a))) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (fma.f64 (exp.f64 a) -1 -1) 2) (*.f64 b b)) (exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))) (+.f64 (/.f64 (neg.f64 (fma.f64 (exp.f64 a) -1 -1)) (/.f64 b (exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a)))))) (expm1.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a)))))))
(+.f64 (fma.f64 -1/6 (*.f64 (/.f64 (pow.f64 (-.f64 -1 (exp.f64 a)) 3) (pow.f64 b 3)) (/.f64 (*.f64 -1 (pow.f64 (/.f64 -1 b) -1)) (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a))) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 b) -1) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (*.f64 (*.f64 b b) (+.f64 (exp.f64 a) 1))) (-.f64 (fma.f64 (pow.f64 (/.f64 -1 b) -1) (/.f64 -1 (+.f64 (exp.f64 a) 1)) -1) (/.f64 (*.f64 (pow.f64 (/.f64 -1 b) -1) (+.f64 (exp.f64 a) 1)) (*.f64 b (+.f64 (exp.f64 a) 1))))))

eval453.0ms (2.3%)

Compiler

Compiled 21805 to 12312 computations (43.5% saved)

prune123.0ms (0.6%)

Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New80712819
Fresh8412
Picked101
Done369
Total81922841
Error
1.0b
Counts
841 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
30.7b
(log.f64 (+.f64 2 b))
31.8b
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 1 (log.f64 2))) 1)
32.5b
(/.f64 b (+.f64 1 (exp.f64 a)))
30.5b
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
61.9b
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))) -1))
31.5b
(-.f64 (+.f64 1 (log.f64 2)) 1)
30.5b
(+.f64 (*.f64 1/2 b) (log.f64 2))
63.1b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 b (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) b))) (log1p.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (/.f64 1 (+.f64 b (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) b)))))))
31.2b
(log.f64 (+.f64 1 (+.f64 a (exp.f64 b))))
63.0b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))) 3)))
✓31.0b
(log.f64 2)
63.4b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (log.f64 b) (-.f64 (/.f64 2 b) (log.f64 2)))))
28.8b
(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) b))) -3)))
✓30.1b
(log1p.f64 (exp.f64 b))
✓30.2b
(log1p.f64 (exp.f64 a))
✓62.9b
(log.f64 b)
62.4b
(+.f64 (log.f64 2) (fma.f64 (exp.f64 (/.f64 2 b)) (*.f64 b 1/2) -1))
✓31.4b
(+.f64 (*.f64 1/2 a) (log.f64 2))
✓27.3b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
33.2b
(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 (*.f64 3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))
63.4b
(-.f64 (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))) (log.f64 2)) 1)
63.2b
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (exp.f64 (log.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
Compiler

Compiled 291 to 209 computations (28.2% saved)

regimes111.0ms (0.6%)

Counts
46 → 1
Calls
Call 1
Inputs
(log.f64 2)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(-.f64 (+.f64 1 (log.f64 2)) 1)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 1 (log.f64 2))) 1)
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
(log.f64 (+.f64 1 (+.f64 a (exp.f64 b))))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 2) (fma.f64 (exp.f64 (/.f64 2 b)) (*.f64 b 1/2) -1))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (*.f64 b 1/2))))
(-.f64 (+.f64 (exp.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 b)) (log.f64 b)) (log.f64 2))) (log.f64 2)) 1)
(log.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -3)))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (log.f64 b) (-.f64 (/.f64 2 b) (log.f64 2)))))
(exp.f64 (+.f64 (log.f64 b) (*.f64 (log1p.f64 (exp.f64 a)) (+.f64 -1 (/.f64 (+.f64 1 (exp.f64 a)) b)))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1)))))
(+.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 b (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b))))) -1))
(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (exp.f64 (*.f64 3 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (log.f64 (exp.f64 (/.f64 (+.f64 (exp.f64 a) 1) b))) -3)))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 3))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (log.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (/.f64 1 b))))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (+.f64 (exp.f64 (log.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) (+.f64 (/.f64 1 b) (/.f64 (exp.f64 a) b)))) 3)))
(+.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 2)) (cbrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))))
(+.f64 (log1p.f64 (exp.f64 a)) (expm1.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 b (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) b))) (log1p.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (/.f64 1 (+.f64 b (*.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))) b)))))))
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
Calls

9 calls:

26.0ms
b
24.0ms
a
8.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Results
ErrorSegmentsBranch
1.9b1a
1.9b1b
1.9b1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.9b1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.9b1(+.f64 (exp.f64 a) (exp.f64 b))
1.9b1(+.f64 (exp.f64 a) (exp.f64 b))
1.9b1(exp.f64 a)
1.9b1(exp.f64 b)
1.9b1(exp.f64 b)
Compiler

Compiled 584 to 319 computations (45.4% saved)

regimes169.0ms (0.9%)

Counts
22 → 2
Calls
Call 1
Inputs
(log.f64 2)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(-.f64 (+.f64 1 (log.f64 2)) 1)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 1 (log.f64 2))) 1)
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
(log.f64 (+.f64 1 (+.f64 a (exp.f64 b))))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (log.f64 (+.f64 (*.f64 1/2 b) (log.f64 2))))
(-.f64 (+.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

9 calls:

99.0ms
b
22.0ms
a
8.0ms
(exp.f64 b)
7.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
Results
ErrorSegmentsBranch
1.3b2a
15.7b10b
2.0b2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0b2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
2.0b2(+.f64 (exp.f64 a) (exp.f64 b))
2.0b2(+.f64 (exp.f64 a) (exp.f64 b))
1.3b2(exp.f64 a)
26.1b2(exp.f64 b)
26.1b2(exp.f64 b)
Compiler

Compiled 170 to 118 computations (30.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2986654869071532e-167
0.49692303263955406
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes147.0ms (0.7%)

Counts
19 → 2
Calls
Call 1
Inputs
(log.f64 2)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(-.f64 (+.f64 1 (log.f64 2)) 1)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 1 (log.f64 2))) 1)
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
(log.f64 (+.f64 1 (+.f64 a (exp.f64 b))))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 1 (+.f64 a (exp.f64 b))))
Calls

6 calls:

98.0ms
b
20.0ms
a
8.0ms
(exp.f64 b)
7.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.7b2a
15.4b11b
1.7b2(exp.f64 a)
1.7b2(exp.f64 a)
26.0b3(exp.f64 b)
26.0b3(exp.f64 b)
Compiler

Compiled 120 to 86 computations (28.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2986654869071532e-167
0.49692303263955406
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes126.0ms (0.6%)

Counts
17 → 2
Calls
Call 1
Inputs
(log.f64 2)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(-.f64 (+.f64 1 (log.f64 2)) 1)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 1 (log.f64 2))) 1)
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 a))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 a)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 a))) 1)
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 b))
Calls

5 calls:

84.0ms
b
18.0ms
a
8.0ms
(exp.f64 b)
7.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.8b2a
16.4b10b
1.8b2(exp.f64 a)
26.2b3(exp.f64 b)
26.2b3(exp.f64 b)
Compiler

Compiled 102 to 75 computations (26.5% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2986654869071532e-167
0.49692303263955406
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes89.0ms (0.5%)

Counts
11 → 2
Calls
Call 1
Inputs
(log.f64 2)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(-.f64 (+.f64 1 (log.f64 2)) 1)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 a) (+.f64 1 (log.f64 2))) 1)
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
Calls

3 calls:

68.0ms
b
13.0ms
a
5.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
2.3b2a
15.8b11b
2.3b2(exp.f64 a)
Compiler

Compiled 68 to 56 computations (17.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.2986654869071532e-167
0.49692303263955406
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes13.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(log.f64 2)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(-.f64 (+.f64 1 (log.f64 2)) 1)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
Outputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
Calls

2 calls:

7.0ms
b
5.0ms
a
Results
ErrorSegmentsBranch
30.5b1a
30.5b1b
Compiler

Compiled 36 to 30 computations (16.7% saved)

regimes10.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(log.f64 2)
(log.f64 2)
(log.f64 b)
(log.f64 (+.f64 2 b))
(-.f64 (+.f64 1 (log.f64 2)) 1)
Outputs
(log.f64 (+.f64 2 b))
Calls

2 calls:

4.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
30.7b1a
30.7b1b
Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes10.0ms (0%)

Accuracy

Total -31.9b remaining (-102.7%)

Threshold costs -31.9b (-102.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(log.f64 2)
(log.f64 2)
(log.f64 b)
Outputs
(log.f64 2)
Calls

2 calls:

5.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
31.0b1a
31.0b1b
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Rules
7×+-commutative_binary64
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030137
140137
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (+.f64 a (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(log.f64 (+.f64 2 b))
(log.f64 2)
Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 1 (+.f64 a (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 1 (+.f64 a (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 5311379928167671/265568996408383549344794103276234313664796558863515961599722069100201779930426121369581251132614642834444664743123250507673289668826353619704759989383293675971915635417696609515864064) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 b 1/2) (log.f64 2))
(log.f64 (+.f64 2 b))
(log.f64 (+.f64 b 2))
(log.f64 2)
Compiler

Compiled 104 to 75 computations (27.9% saved)

soundness56.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
679×distribute-rgt-in_binary64
670×distribute-lft-in_binary64
483×associate-*l/_binary64
432×associate-*r/_binary64
377×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074440
1214434
2668428
33076416
Stop Event
1×node limit
Compiler

Compiled 26 to 18 computations (30.8% saved)

end117.0ms (0.6%)

Compiler

Compiled 128 to 79 computations (38.3% saved)

Profiling

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