Details

Time bar (total: 17.0s)

analyze206.0ms (1.2%)

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)

sample11.2s (66.3%)

Results
8.8s7744×body8192exit
1.2s2025×body1024valid
742.0ms4986×body256valid
378.0ms1055×body512valid
139.0ms190×body2048valid
Bogosity

preprocess16.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
11138
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)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11019
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
29.1b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.1b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓4.1b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series63.0ms (0.4%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
24.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
16.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite77.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1808×add-sqr-sqrt
1792×*-un-lft-identity
1664×add-cube-cbrt
1644×add-cbrt-cube
184×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
117734
2222734
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 (+.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 (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 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (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 (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 *.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 pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(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 pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(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 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 exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(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 -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (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 (-.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 (+.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 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 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 (-.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 (+.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 b) 2) (pow.f64 (exp.f64 a) 2)) (-.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 (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 pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(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 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(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 (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 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 log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))

simplify75.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1090×fma-def
1004×unswap-sqr
902×distribute-lft-in
844×distribute-rgt-in
516×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02002618
14992362
219822350
377112350
Stop Event
1×node limit
Counts
74 → 115
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))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.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)))))
(-.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))))))
(-.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))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.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))
(*.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)))))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.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))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(*.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))))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.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))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.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)))))
(/.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)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.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))))
(/.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))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(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)))))
(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)))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (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 (*.f64 a (*.f64 a 1/2)) (+.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 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a 1/2)) (/.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 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 (*.f64 a (*.f64 a 1/2)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 (+.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 a (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 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 (/.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))) (log1p.f64 (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 (*.f64 1/6 (pow.f64 b 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.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 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (exp.f64 b) (+.f64 1 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (+.f64 (fma.f64 1/2 (*.f64 a a) 1) a) (exp.f64 b))
(fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) (+.f64 1 a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 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 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(+.f64 (+.f64 (fma.f64 1/6 (pow.f64 b 3) 1) (exp.f64 a)) (fma.f64 1/2 (*.f64 b b) b))
(+.f64 b (+.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) (fma.f64 1/6 (pow.f64 b 3) 1)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.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)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(-.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))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))
(-.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))))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.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))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.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)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(-.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))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(*.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))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.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))))
(*.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))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.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)))))
(*.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))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.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)))))
(*.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))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.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))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a))) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.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))))))
(*.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))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(+.f64 (exp.f64 b) (exp.f64 a))
(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)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(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)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(+.f64 (exp.f64 b) (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))

eval30.0ms (0.2%)

Compiler

Compiled 1984 to 1041 computations (47.5% saved)

prune21.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1069115
Fresh000
Picked011
Done000
Total10610116
Error
0.4b
Counts
116 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
30.1b
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
1.6b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶1.0b
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
31.2b
(log1p.f64 (exp.f64 b))
▶31.0b
(log1p.f64 (exp.f64 a))
30.9b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓29.1b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
▶30.7b
(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
▶30.7b
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
▶31.2b
(log.f64 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 180 to 136 computations (24.4% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series28.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
9.0ms
a
@-inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms
b
@-inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms
a
@inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
6.0ms
b
@inf
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
0.0ms
a
@0
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

rewrite53.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1838×add-sqr-sqrt
1822×*-un-lft-identity
1694×add-cube-cbrt
1674×add-cbrt-cube
184×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
118019
2226419
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (+.f64 1 (exp.f64 a)) (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))))))

simplify53.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1308×associate-+r+
1220×associate-+l+
1194×associate-*r*
996×associate-*r/
946×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911256
12311252
28891240
340921228
Stop Event
1×node limit
Counts
40 → 46
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 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))
(log.f64 (+.f64 (+.f64 1 (exp.f64 a)) (expm1.f64 b)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))
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 (-.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 a (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (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 (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 (+.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 a (+.f64 1 (exp.f64 b)))))
(+.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 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.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)))))
(+.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)))))
(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 (*.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 (*.f64 1/6 (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 (log1p.f64 (exp.f64 a)) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/6 (pow.f64 b 3)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (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))))))
(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 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 1)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 2)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 3)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3) 1/3)
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 2))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(log.f64 (+.f64 (+.f64 1 (exp.f64 a)) (expm1.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))) 3))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))

localize4.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (exp.f64 b))
✓0.5b
(log.f64 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 15 to 9 computations (40% saved)

series39.0ms (0.2%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
24.0ms
b
@inf
(log.f64 (+.f64 1 (exp.f64 b)))
15.0ms
b
@-inf
(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms
b
@0
(log.f64 (+.f64 1 (exp.f64 b)))
0.0ms
b
@0
(+.f64 1 (exp.f64 b))
0.0ms
b
@inf
(+.f64 1 (exp.f64 b))

rewrite67.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1434×add-sqr-sqrt
1418×*-un-lft-identity
1318×add-cube-cbrt
1304×add-cbrt-cube
1290×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
115320
2177020
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
Outputs
((#(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 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (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 (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 (+.f64 1 (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 (log1p.f64 (exp.f64 b)) 1)))) (#(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 (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 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(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 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(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 sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(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 (log.f64 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 b))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)))))

simplify60.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1374×times-frac
1146×associate-/l*
738×associate-+r+
660×associate-+l+
648×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01411286
13221180
211681000
33683976
Stop Event
1×node limit
Counts
62 → 91
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)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
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 (*.f64 b 1/8) (fma.f64 1/2 b (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))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (expm1.f64 b)))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 b) 3)) (log1p.f64 (*.f64 (exp.f64 b) (expm1.f64 b))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 b) 2))) (log1p.f64 (neg.f64 (exp.f64 b))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 b) 2))) (log.f64 (neg.f64 (expm1.f64 b))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 b b)))) (log.f64 (neg.f64 (expm1.f64 b))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(log1p.f64 (exp.f64 b))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(log1p.f64 (exp.f64 b))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(log1p.f64 (exp.f64 b))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(log1p.f64 (exp.f64 b))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(log1p.f64 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(*.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) (hypot.f64 1 (sqrt.f64 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 2 (expm1.f64 b)) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) 2)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(exp.f64 (log1p.f64 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(exp.f64 (log1p.f64 (exp.f64 b)))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 1 (exp.f64 b) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 (exp.f64 b) 1)
(+.f64 2 (expm1.f64 b))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 1/2 (*.f64 b b))
✓0.0b
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
✓0.0b
(+.f64 b (*.f64 1/2 (*.f64 b b)))
✓3.3b
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
Compiler

Compiled 58 to 28 computations (51.7% saved)

series35.0ms (0.2%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
17.0ms
a
@-inf
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
14.0ms
a
@inf
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
1.0ms
a
@0
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
0.0ms
b
@inf
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
0.0ms
b
@-inf
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))

rewrite94.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1766×associate-*r/
1380×associate-*l/
602×associate-+l+
382×associate-+r+
350×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014100
129988
2405488
Stop Event
1×node limit
Counts
4 → 176
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(*.f64 1/2 (*.f64 b b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))) (log.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))) (log.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)))) (log.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)))) (log.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) (-.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 b)) (-.f64 1 (*.f64 b (*.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (/.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 b (*.f64 -1/2 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 b (*.f64 b 1/2)) (exp.f64 (log1p.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (*.f64 b b) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (+.f64 1 (*.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (*.f64 b b) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))))

simplify130.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1104×associate-+r-
1020×associate--r+
744×associate-+l-
584×fma-def
528×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053611950
1143711330
2586011330
Stop Event
1×node limit
Counts
248 → 309
Calls
Call 1
Inputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.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 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (*.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 (*.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 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 16 (*.f64 -24 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b)))))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (*.f64 -1/6 (/.f64 (-.f64 (*.f64 24 (+.f64 1 (exp.f64 a))) 16) (pow.f64 b 3)))))))
b
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(-.f64 (+.f64 (*.f64 b (*.f64 b 1/2)) (exp.f64 (log1p.f64 b))) 1)
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(-.f64 (+.f64 1 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) (-.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(-.f64 (+.f64 (+.f64 1 (exp.f64 a)) (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))) 1)
(-.f64 (+.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (+.f64 b (*.f64 -1/2 (*.f64 b b))))) (/.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(-.f64 (+.f64 (+.f64 1 (+.f64 (exp.f64 a) b)) (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))) 1)
(-.f64 (+.f64 (+.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 1 (exp.f64 a))) (exp.f64 (log1p.f64 b))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) 1) (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) 1) (/.f64 (*.f64 b b) (+.f64 b (*.f64 -1/2 (*.f64 b b))))) (/.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(*.f64 1 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(*.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(*.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(/.f64 1 (/.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a)))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)) (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)) (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) 1) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a)))
(/.f64 (-.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2)) (+.f64 (exp.f64 a) (-.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) (*.f64 (+.f64 1 (exp.f64 a)) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2))) (neg.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)) 1) (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)) 1) (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) 1)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))) (+.f64 (exp.f64 a) (-.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) (*.f64 (+.f64 1 (exp.f64 a)) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)))) (neg.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)))) (neg.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)))) (sqrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)))) (cbrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) 1) 1) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2)) 1) (+.f64 (exp.f64 a) (-.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) 1) (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (-.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2) (*.f64 (+.f64 1 (exp.f64 a)) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2))) 1) (neg.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))) 1) (neg.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) (sqrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)) (cbrt.f64 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)) (cbrt.f64 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2))) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) (+.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) 3)) (/.f64 1 (-.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) (*.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))) (/.f64 1 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a)))))) (-.f64 1 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (expm1.f64 a)))))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3)) (pow.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 3))))
(pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))
(expm1.f64 (log.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(fma.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 1)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(pow.f64 (*.f64 b (*.f64 b 1/2)) 1)
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 3)
(pow.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))))
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))
Outputs
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) (/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 (log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (/.f64 a (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) (fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b))) (/.f64 1 (pow.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)) 2)))) (log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 (/.f64 a (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (fma.f64 1/2 (*.f64 a (*.f64 a (+.f64 (/.f64 1 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1)))) (/.f64 -1 (pow.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))) 2))))) (log.f64 (+.f64 2 (*.f64 b (fma.f64 b 1/2 1))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
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(pow.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 3)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(pow.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3) 1/3)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(pow.f64 (E.f64) (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))) 2)) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(sqrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2))
(fabs.f64 (+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1))))
(log.f64 (exp.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(cbrt.f64 (pow.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 3))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(expm1.f64 (log.f64 (+.f64 2 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(log1p.f64 (expm1.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(fma.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) 1)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) (sqrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b))) 1)
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 b (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(*.f64 b (*.f64 b 1/2))
(pow.f64 (*.f64 b (*.f64 b 1/2)) 1)
(*.f64 b (*.f64 b 1/2))
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 3)
(*.f64 b (*.f64 b 1/2))
(pow.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)) 1/3)
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))
(cbrt.f64 (*.f64 1/8 (pow.f64 b 6)))
(sqrt.f64 (*.f64 1/4 (pow.f64 b 4)))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(*.f64 b (*.f64 b 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))))
(*.f64 b (*.f64 b 1/2))
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 b b) 3)))
(cbrt.f64 (*.f64 1/8 (pow.f64 b 6)))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 b (*.f64 b 1/2))
(exp.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 b (*.f64 b 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 b 1/2))) 1))
(*.f64 b (*.f64 b 1/2))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 b (*.f64 b 1/2))

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
✓3.3b
(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
Compiler

Compiled 50 to 28 computations (44% saved)

series16.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
8.0ms
a
@inf
(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
6.0ms
a
@-inf
(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
0.0ms
b
@0
(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
0.0ms
a
@0
(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
0.0ms
b
@-inf
(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))

rewrite84.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1198×distribute-lft-in
1158×associate-*r/
852×associate-*l/
326×associate-+l+
292×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01466
128566
2359160
Stop Event
1×node limit
Counts
2 → 124
Calls
Call 1
Inputs
(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2)) (log.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))) (log.f64 (sqrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2))) (log.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))) (log.f64 (sqrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2))) (log.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3))) (log.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2)))) (log.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3)))) (log.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 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1/2) (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (-.f64 1 (+.f64 b 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b 1) (-.f64 1 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) (-.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) (-.f64 (/.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) 2) (-.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) (/.f64 (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2) (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) (sqrt.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 2) (cbrt.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))))

simplify125.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
908×associate-/r/
724×associate-/l/
484×associate--r+
466×associate--l+
466×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043511906
1128711134
2542011114
Stop Event
1×node limit
Counts
172 → 265
Calls
Call 1
Inputs
(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 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (*.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 (*.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 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 16 (*.f64 -24 (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b)))))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 2 (/.f64 1 b)) (*.f64 -2 (log.f64 (/.f64 -1 b)))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 b))) (*.f64 -1/6 (/.f64 (-.f64 (*.f64 24 (+.f64 1 (exp.f64 a))) 16) (pow.f64 b 3)))))))
(log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))))
(+.f64 (/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))) 2))))) (log.f64 (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(+.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 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.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 (pow.f64 b 2)))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) 3) (pow.f64 (+.f64 b 1) 3)) (+.f64 (*.f64 (+.f64 b 1) (+.f64 b 1)) (-.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) 2) (*.f64 (+.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2) 3)) (*.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2)) (*.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2))) (neg.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))))
(/.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3)) 1) (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b)))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2)) 1) (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2) (*.f64 b b))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 b 1) (+.f64 b 1)) (pow.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) 2))) (+.f64 b (-.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) 3) (pow.f64 (+.f64 b 1) 3))) (+.f64 (*.f64 (+.f64 b 1) (+.f64 b 1)) (-.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) 2) (*.f64 (+.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2)))) (neg.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3)))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) (sqrt.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2)))) (sqrt.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) (sqrt.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3)))) (sqrt.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2) (cbrt.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2)))) (cbrt.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2) (cbrt.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3)))) (cbrt.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2) (*.f64 b b)) 1) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 b 1) (+.f64 b 1)) (pow.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) 2)) 1) (+.f64 b (-.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) 3) (pow.f64 (+.f64 b 1) 3)) 1) (+.f64 (*.f64 (+.f64 b 1) (+.f64 b 1)) (-.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) 2) (*.f64 (+.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2))) 1) (neg.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3))) 1) (neg.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2))) (sqrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))) (sqrt.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3))) (sqrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))) (sqrt.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2)) (cbrt.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2)) (cbrt.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2))) (/.f64 1 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) (+.f64 (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2) (*.f64 b b)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2) 3)) (/.f64 1 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2)) (*.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b 3) (pow.f64 b 3)) (*.f64 (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3))) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b)))))) (-.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 b 3) 3) (pow.f64 (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3) 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b)))))) (+.f64 (*.f64 (pow.f64 b 3) (pow.f64 b 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3)) (*.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2)) 1) (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2)) (sqrt.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) (sqrt.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) (cbrt.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))) (cbrt.f64 (-.f64 (-.f64 b 1) (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2)) (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) (sqrt.f64 b))) (-.f64 (sqrt.f64 b) (sqrt.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3)) 1) (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b)))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3)) (sqrt.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b)))))) (sqrt.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))))
(/.f64 (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 3)) (*.f64 (cbrt.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))) (cbrt.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))))) (cbrt.f64 (fma.f64 b b (*.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) (+.f64 1 (-.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) b))))))
(pow.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 1)
(pow.f64 (sqrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2)
(pow.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))) (sqrt.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 2)) (cbrt.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 2))
(log.f64 (exp.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 3))
(expm1.f64 (log.f64 (+.f64 2 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))
(exp.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(log1p.f64 (expm1.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))
(fma.f64 1 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
(fma.f64 1 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) b)
(fma.f64 (sqrt.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) (sqrt.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 2) (cbrt.f64 (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
Outputs
(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)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (*.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 (*.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 1/6 (*.f64 (pow.f64 b 3) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (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 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (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 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))
(+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)))
(+.f64 (/.f64 2 b) (+.f64 (*.f64 2 (log.f64 b)) (log.f64 1/2)))
(+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 4 (+.f64 1 (exp.f64 a))) 4) (pow.f64 b 2))) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 2 b) (fma.f64 1/2 (/.f64 (fma.f64 4 (+.f64 1 (exp.f64 a)) -4) (*.f64 b b)) (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 1 (exp.f64 a)) 4 -4) (*.f64 b b)) (log.f64 1/2)) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)))
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(pow.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 1)
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(pow.f64 (cbrt.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))) 3)
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(pow.f64 (pow.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 3) 1/3)
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(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))) (sqrt.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))
(pow.f64 (E.f64) (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b))))
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(pow.f64 (E.f64) (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b))))
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 1 b) (fma.f64 b (*.f64 b 1/2) (exp.f64 a))) 2))
(fabs.f64 (+.f64 (exp.f64 a) (+.f64 1 (fma.f64 b (*.f64 b 1/2) b))))
(fabs.f64 (+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b))))
(log.f64 (exp.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
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(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 b (*.f64 b 1/2) b)))
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(pow.f64 (E.f64) (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
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(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
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(+.f64 (exp.f64 a) (+.f64 1 (fma.f64 b (*.f64 b 1/2) b)))
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eval314.0ms (1.8%)

Compiler

Compiled 19546 to 12296 computations (37.1% saved)

prune124.0ms (0.7%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New70110711
Fresh134
Picked101
Done055
Total70318721
Error
0.4b
Counts
721 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.6b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
▶32.2b
(+.f64 (*.f64 1/2 b) (log.f64 2))
▶1.6b
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
▶32.3b
(+.f64 (log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))) (/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))
63.2b
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
2.5b
(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
✓1.0b
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
31.2b
(log1p.f64 (exp.f64 b))
✓31.0b
(log1p.f64 (exp.f64 a))
32.3b
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
33.1b
(log.f64 (+.f64 (+.f64 2 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
30.9b
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
✓29.1b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
32.3b
(log.f64 (+.f64 2 b))
✓30.7b
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
✓31.2b
(log.f64 (+.f64 1 (exp.f64 b)))
62.9b
(log.f64 (*.f64 1/2 (*.f64 b b)))
▶32.6b
(log.f64 2)
Compiler

Compiled 313 to 239 computations (23.6% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.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)

series62.0ms (0.4%)

Counts
3 → 32
Calls

15 calls:

TimeVariablePointExpression
45.0ms
a
@inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
11.0ms
a
@-inf
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
3.0ms
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))))
0.0ms
b
@-inf
(/.f64 b (+.f64 1 (exp.f64 a)))

rewrite97.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1560×associate-*r/
1070×*-commutative
990×associate-*l/
920×associate-/r*
678×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01159
122959
2305559
Stop Event
1×node limit
Counts
3 → 218
Calls
Call 1
Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 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1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1)))))

simplify143.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1296×associate-+r+
1052×+-commutative
646×associate-*r*
582×associate-/l*
516×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059112310
1161011712
2714911562
Stop Event
1×node limit
Counts
250 → 348
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)))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 (log.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (-.f64 1 (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
(-.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)))))
(-.f64 (+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
(-.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(-.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (log.f64 (-.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a))))) 1)
(*.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(*.f64 (/.f64 1 (-.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 b (+.f64 (exp.f64 a) 1)) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (+.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (*.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (*.f64 (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (*.f64 (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 1 (/.f64 1 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (/.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)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (/.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
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(expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))
(-.f64 (+.f64 (exp.f64 a) 1) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (exp.f64 a)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))
(-.f64 (+.f64 2 (exp.f64 a)) 1)
(*.f64 1 (+.f64 (exp.f64 a) 1))
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (-.f64 1 (exp.f64 a))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (-.f64 1 (exp.f64 (+.f64 a a))))
(*.f64 (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3)))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 (+.f64 a a)))) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 (+.f64 a a)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 1 (*.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) (*.f64 (exp.f64 a) (expm1.f64 a))))) (-.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (pow.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) 3))) (-.f64 (+.f64 1 (*.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) (*.f64 (exp.f64 a) (expm1.f64 a)))) (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 1 (/.f64 1 (+.f64 (exp.f64 a) 1)))
(/.f64 (+.f64 (exp.f64 a) 1) 1)
(/.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (/.f64 (-.f64 1 (exp.f64 a)) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (/.f64 (-.f64 1 (exp.f64 a)) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (expm1.f64 a))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 1 (-.f64 (exp.f64 (+.f64 a a)) 1)) (expm1.f64 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) 1) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) 1) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) 1) (expm1.f64 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (/.f64 1 (-.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 (+.f64 a a))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 (+.f64 a a)) 3)) (/.f64 1 (-.f64 1 (exp.f64 a)))) (+.f64 1 (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3))) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (-.f64 1 (pow.f64 (exp.f64 a) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (pow.f64 (exp.f64 a) 3))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) 1) (-.f64 1 (exp.f64 a)))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (sqrt.f64 (-.f64 1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (cbrt.f64 (-.f64 1 (exp.f64 a))))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) 1) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (*.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) 1) (expm1.f64 a))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (*.f64 (cbrt.f64 (expm1.f64 a)) (cbrt.f64 (expm1.f64 a)))) (cbrt.f64 (expm1.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 a))))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1)
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)))
(+.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))))
(+.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 (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 (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)))
(*.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 (*.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 (fma.f64 -1 (*.f64 (*.f64 a a) (*.f64 b 0)) (*.f64 -1/4 (*.f64 b a))))
(fma.f64 1/2 b (fma.f64 -1/4 (*.f64 b a) (*.f64 a (*.f64 a 0))))
(+.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)))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (-.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 a) 3)) (-.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 (log.f64 (-.f64 1 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 1 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 2) a))) (log1p.f64 (neg.f64 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) (-.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))) 1) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (-.f64 1 (log1p.f64 (exp.f64 a))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) 1)
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
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(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(*.f64 (hypot.f64 1 (pow.f64 (exp.f64 a) 3/2)) (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 a) 3/2)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (/.f64 (-.f64 1 (exp.f64 a)) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))) (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (/.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (/.f64 (-.f64 1 (exp.f64 a)) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (/.f64 (/.f64 (-.f64 1 (exp.f64 a)) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))) (/.f64 (-.f64 1 (exp.f64 a)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (*.f64 1 (-.f64 (exp.f64 (+.f64 a a)) 1)) (expm1.f64 a))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (hypot.f64 1 (pow.f64 (exp.f64 a) 3/2))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) 1) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) 1) (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (/.f64 (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (hypot.f64 1 (pow.f64 (exp.f64 a) 3/2))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 a a))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (-.f64 1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (cbrt.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 2) a))) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))) (/.f64 1 (-.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 (+.f64 a a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 (+.f64 a a) (+.f64 a a)))) (/.f64 (+.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (-.f64 1 (exp.f64 a)))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 a 4))) (*.f64 (fma.f64 (exp.f64 a) (exp.f64 a) 1) (-.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 (+.f64 a a)) 3)) (/.f64 1 (-.f64 1 (exp.f64 a)))) (+.f64 1 (+.f64 (exp.f64 (+.f64 a a)) (*.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a))))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (+.f64 a a)) 3)) (/.f64 (+.f64 1 (*.f64 (+.f64 1 (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 a a)))) (/.f64 1 (-.f64 1 (exp.f64 a)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 6)) (-.f64 1 (exp.f64 a))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) a) (exp.f64 (*.f64 a 4)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3))) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (-.f64 1 (pow.f64 (exp.f64 a) 3)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 6)) (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 6)) (*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (+.f64 1 (-.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (/.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 6) (pow.f64 (exp.f64 a) 3))) (/.f64 1 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 a) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 6) (pow.f64 (exp.f64 a) 3))) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a))))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) 1) (-.f64 1 (exp.f64 a)))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (sqrt.f64 (-.f64 1 (exp.f64 a)))) (sqrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (*.f64 (cbrt.f64 (-.f64 1 (exp.f64 a))) (cbrt.f64 (-.f64 1 (exp.f64 a))))) (cbrt.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) 1) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))) (sqrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (*.f64 (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))) (cbrt.f64 (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (exp.f64 (+.f64 a a)) (expm1.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (-.f64 (pow.f64 (exp.f64 2) a) (expm1.f64 a)))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (sqrt.f64 (expm1.f64 a))) (sqrt.f64 (expm1.f64 a)))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (*.f64 (cbrt.f64 (expm1.f64 a)) (cbrt.f64 (expm1.f64 a)))) (cbrt.f64 (expm1.f64 a)))
(/.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 1 (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(+.f64 1 (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(+.f64 1 (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(+.f64 1 (exp.f64 a))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 a)))) (sqrt.f64 (log1p.f64 (exp.f64 a))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(fabs.f64 (+.f64 1 (exp.f64 a)))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 1 (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(+.f64 1 (exp.f64 a))
(expm1.f64 (log.f64 (+.f64 2 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(exp.f64 (log1p.f64 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (exp.f64 a))
(fma.f64 1 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) a)) (cbrt.f64 (exp.f64 a)) 1)

localize3.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/2 b) (log.f64 2))
Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
2.0ms
b
@0
(+.f64 (*.f64 1/2 b) (log.f64 2))
0.0ms
b
@inf
(+.f64 (*.f64 1/2 b) (log.f64 2))
0.0ms
b
@-inf
(+.f64 (*.f64 1/2 b) (log.f64 2))

rewrite58.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1848×add-sqr-sqrt
1824×*-un-lft-identity
1708×add-cube-cbrt
1692×add-cbrt-cube
182×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
118813
2228213
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 b) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (*.f64 b b)) (-.f64 (*.f64 1/2 b) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 b) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 b (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 b (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 b) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 b) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))) (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 1/2 (*.f64 b (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 b b))) (-.f64 (log.f64 2) (*.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 b (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 b (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 b) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 b b))) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2))))))

simplify52.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1238×associate-*r*
1134×associate-/r*
1022×associate-*l*
686×associate-+r+
560×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0981074
12371044
2812976
34402976
Stop Event
1×node limit
Counts
40 → 45
Calls
Call 1
Inputs
(log.f64 2)
(*.f64 1/2 b)
(*.f64 1/2 b)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 b b)) (-.f64 (*.f64 1/2 b) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 b) (log.f64 2))))
(*.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 b (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 b) (log.f64 2))))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 b) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))) (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 1/2 (*.f64 b (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 b b))) (-.f64 (log.f64 2) (*.f64 1/2 b)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (log.f64 2))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))
(pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 b (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 b))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 b b))) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2))
Outputs
(log.f64 2)
(*.f64 1/2 b)
(*.f64 1/2 b)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2)))) 1)
(fma.f64 1/2 b (log.f64 2))
(-.f64 (/.f64 (*.f64 1/4 (*.f64 b b)) (-.f64 (*.f64 1/2 b) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 b) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(*.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(fma.f64 1/2 b (log.f64 2))
(*.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 b) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 b b) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 b -1/2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 b) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))) (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 b b) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 b -1/2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b)))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 b b) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 b -1/2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 1/2 (*.f64 b (log.f64 2))))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 b b) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 b -1/2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 b b))) (-.f64 (log.f64 2) (*.f64 1/2 b)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (-.f64 (*.f64 b (*.f64 b 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 b) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 b b) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 b -1/2 (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 b))))))
(/.f64 (*.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (*.f64 b b) (*.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 -1/2 b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 b -1/2)) (*.f64 b (*.f64 b 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 b 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 b -1/2 (log.f64 2)) (*.f64 b (*.f64 b 1/4))))
(pow.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(fma.f64 1/2 b (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) 2)
(fma.f64 1/2 b (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
(fma.f64 1/2 b (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3) 1/3)
(fma.f64 1/2 b (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 2))
(fma.f64 1/2 b (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) b)))
(fma.f64 1/2 b (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 b (log.f64 2)))))
(fma.f64 1/2 b (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 b (log.f64 2)) 3))
(fma.f64 1/2 b (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))) 1))
(fma.f64 1/2 b (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 1 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 b b))) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/4))) (cbrt.f64 (*.f64 1/2 b)) (log.f64 2))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 1/2 (*.f64 b b))
✓0.0b
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
✓0.0b
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
✓0.0b
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
Compiler

Compiled 69 to 39 computations (43.5% saved)

series4.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
1.0ms
b
@-inf
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
1.0ms
a
@0
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
0.0ms
a
@-inf
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
0.0ms
b
@inf
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))

rewrite87.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1664×associate-*r/
1424×associate-*l/
888×associate-/r*
380×associate-+l+
294×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01385
128473
2386273
Stop Event
1×node limit
Counts
3 → 141
Calls
Call 1
Inputs
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (sqrt.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (pow.f64 (cbrt.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2) (cbrt.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (/.f64 -1 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (/.f64 a (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)) (/.f64 a (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a (+.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (/.f64 (cbrt.f64 a) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)) (cbrt.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (-.f64 -2 (+.f64 b (*.f64 1/2 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (log.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)) (log.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) (log.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2))) (log.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (log.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (log.f64 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))) (log.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))) (log.f64 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (+.f64 b (*.f64 1/2 (*.f64 b b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 3 b))) (-.f64 1 (*.f64 1/2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 b)) (-.f64 1 (+.f64 2 (*.f64 1/2 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 b b)))) (-.f64 1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 b)) (-.f64 (/.f64 (*.f64 b b) (-.f64 2 b)) (*.f64 1/2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 2 b) 2) (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b))))) (/.f64 (*.f64 (pow.f64 b 4) 1/4) (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 2 b) (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 b b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (*.f64 b b)) 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simplify102.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1712×associate-*r/
994×associate-+l+
928×associate-+r+
928×+-commutative
456×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04578829
112587747
252317747
Stop Event
1×node limit
Counts
189 → 267
Calls
Call 1
Inputs
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 1/2 a)
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a)) (pow.f64 b 2))) (*.f64 -1/4 (*.f64 a b))))
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(*.f64 2 (/.f64 a (pow.f64 b 2)))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))) (cbrt.f64 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) 1) (neg.f64 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))))
(/.f64 (*.f64 (-.f64 4 (*.f64 (+.f64 b (*.f64 1/2 (*.f64 b b))) (+.f64 b (*.f64 1/2 (*.f64 b b))))) 1) (-.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)) 1) (-.f64 (*.f64 1/2 (*.f64 b b)) (+.f64 2 b)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 b (*.f64 1/2 (*.f64 b b))) 3)) 1) (+.f64 4 (-.f64 (*.f64 (+.f64 b (*.f64 1/2 (*.f64 b b))) (+.f64 b (*.f64 1/2 (*.f64 b b)))) (*.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) (sqrt.f64 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)) (cbrt.f64 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (*.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 4) 1/4))) (/.f64 1 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b)))))) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 2 b) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 2 b) 2) 3) (pow.f64 (*.f64 (pow.f64 b 4) 1/4) 3)) (/.f64 1 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b)))))) (+.f64 (*.f64 (pow.f64 (+.f64 2 b) 2) (pow.f64 (+.f64 2 b) 2)) (+.f64 (*.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 4) 1/4)) (*.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (*.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (/.f64 1 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))))) (-.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 2 b) 3) 3) (pow.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))))) (+.f64 (*.f64 (pow.f64 (+.f64 2 b) 3) (pow.f64 (+.f64 2 b) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (*.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)) 1) (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)) (sqrt.f64 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b)))))) (sqrt.f64 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)) (*.f64 (cbrt.f64 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b))))) (cbrt.f64 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b))))))) (cbrt.f64 (+.f64 2 (-.f64 b (*.f64 1/2 (*.f64 b b))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (pow.f64 b 4) 1/4)) (+.f64 (*.f64 b (sqrt.f64 1/2)) (sqrt.f64 (+.f64 2 b)))) (-.f64 (sqrt.f64 (+.f64 2 b)) (*.f64 b (sqrt.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) 1) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(fma.f64 1/2 (*.f64 b b) (+.f64 2 b))
(fma.f64 (*.f64 b b) 1/2 (+.f64 2 b))
(fma.f64 1 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(fma.f64 1 (*.f64 1/2 (*.f64 b b)) (+.f64 2 b))
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 2 b))
(fma.f64 (sqrt.f64 (+.f64 2 b)) (sqrt.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 b b)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 b b))) (+.f64 2 b))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (cbrt.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 b b)))
(fma.f64 (*.f64 b 1/2) b (+.f64 2 b))
Outputs
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 a (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(/.f64 a (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(*.f64 1/2 a)
(*.f64 a 1/2)
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(fma.f64 1/2 a (*.f64 -1/4 (*.f64 a b)))
(fma.f64 a 1/2 (*.f64 a (*.f64 b -1/4)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a)) (pow.f64 b 2))) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 1/2 a (fma.f64 -1 (*.f64 (*.f64 b b) (*.f64 a 0)) (*.f64 -1/4 (*.f64 a b))))
(fma.f64 a 1/2 (fma.f64 -1/4 (*.f64 a b) (*.f64 (*.f64 b b) 0)))
(+.f64 (*.f64 1/2 a) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a))) (*.f64 -1/16 a)) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 a) (*.f64 -1/8 a)) (pow.f64 b 2))) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 1/2 a (fma.f64 -1 (*.f64 (fma.f64 -1/2 (*.f64 a 0) (*.f64 a -1/16)) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (*.f64 b b) (*.f64 a 0)) (*.f64 -1/4 (*.f64 a b)))))
(fma.f64 a 1/2 (-.f64 (fma.f64 -1/4 (*.f64 a b) (*.f64 (*.f64 b b) 0)) (*.f64 (fma.f64 a -1/16 0) (pow.f64 b 3))))
(-.f64 (fma.f64 a 1/2 (fma.f64 -1/4 (*.f64 a b) (*.f64 (*.f64 b b) 0))) (*.f64 (fma.f64 a -1/16 0) (pow.f64 b 3)))
(*.f64 2 (/.f64 a (pow.f64 b 2)))
(*.f64 2 (/.f64 a (*.f64 b b)))
(+.f64 (*.f64 2 (/.f64 a (pow.f64 b 2))) (*.f64 -4 (/.f64 a (pow.f64 b 3))))
(fma.f64 2 (/.f64 a (*.f64 b b)) (*.f64 -4 (/.f64 a (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -4 (/.f64 a (pow.f64 b 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 8 a) (*.f64 -8 a)) (pow.f64 b 4)))))
(fma.f64 2 (/.f64 a (*.f64 b b)) (fma.f64 -4 (/.f64 a (pow.f64 b 3)) (neg.f64 (/.f64 (*.f64 a 0) (pow.f64 b 4)))))
(fma.f64 2 (/.f64 a (*.f64 b b)) (fma.f64 -4 (/.f64 a (pow.f64 b 3)) (/.f64 0 (pow.f64 b 4))))
(+.f64 (*.f64 2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 (*.f64 8 a) (*.f64 -8 a))) (*.f64 -16 a)) (pow.f64 b 5))) (+.f64 (*.f64 -4 (/.f64 a (pow.f64 b 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 8 a) (*.f64 -8 a)) (pow.f64 b 4))))))
(fma.f64 2 (/.f64 a (*.f64 b b)) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 a 0) (*.f64 a -16)) (pow.f64 b 5)) (fma.f64 -4 (/.f64 a (pow.f64 b 3)) (neg.f64 (/.f64 (*.f64 a 0) (pow.f64 b 4))))))
(fma.f64 2 (/.f64 a (*.f64 b b)) (-.f64 (fma.f64 -4 (/.f64 a (pow.f64 b 3)) (/.f64 0 (pow.f64 b 4))) (/.f64 (fma.f64 a -16 0) (pow.f64 b 5))))
(-.f64 (fma.f64 2 (/.f64 a (*.f64 b b)) (fma.f64 -4 (/.f64 a (pow.f64 b 3)) (/.f64 0 (pow.f64 b 4)))) (/.f64 (fma.f64 a -16 0) (pow.f64 b 5)))
(*.f64 2 (/.f64 a (pow.f64 b 2)))
(*.f64 2 (/.f64 a (*.f64 b b)))
(+.f64 (*.f64 2 (/.f64 a (pow.f64 b 2))) (*.f64 -4 (/.f64 a (pow.f64 b 3))))
(fma.f64 2 (/.f64 a (*.f64 b b)) (*.f64 -4 (/.f64 a (pow.f64 b 3))))
(+.f64 (*.f64 2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -4 (/.f64 a (pow.f64 b 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 8 a) (*.f64 -8 a)) (pow.f64 b 4)))))
(fma.f64 2 (/.f64 a (*.f64 b b)) (fma.f64 -4 (/.f64 a (pow.f64 b 3)) (neg.f64 (/.f64 (*.f64 a 0) (pow.f64 b 4)))))
(fma.f64 2 (/.f64 a (*.f64 b b)) (fma.f64 -4 (/.f64 a (pow.f64 b 3)) (/.f64 0 (pow.f64 b 4))))
(+.f64 (*.f64 16 (/.f64 a (pow.f64 b 5))) (+.f64 (*.f64 2 (/.f64 a (pow.f64 b 2))) (+.f64 (*.f64 -4 (/.f64 a (pow.f64 b 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 8 a) (*.f64 -8 a)) (pow.f64 b 4))) (*.f64 2 (/.f64 (+.f64 (*.f64 8 a) (*.f64 -8 a)) (pow.f64 b 5)))))))
(fma.f64 16 (/.f64 a (pow.f64 b 5)) (fma.f64 2 (/.f64 a (*.f64 b b)) (fma.f64 -4 (/.f64 a (pow.f64 b 3)) (fma.f64 -1 (/.f64 (*.f64 a 0) (pow.f64 b 4)) (*.f64 2 (/.f64 (*.f64 a 0) (pow.f64 b 5)))))))
(fma.f64 16 (/.f64 a (pow.f64 b 5)) (+.f64 (fma.f64 2 (/.f64 a (*.f64 b b)) (fma.f64 -4 (/.f64 a (pow.f64 b 3)) (/.f64 0 (pow.f64 b 4)))) (/.f64 0 (pow.f64 b 5))))
(log.f64 2)
(+.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 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 b 1/2 (fma.f64 (*.f64 b b) 1/8 (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/12 (pow.f64 b 3)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 (pow.f64 b 3) -1/12)))
(fma.f64 b 1/2 (fma.f64 (*.f64 b b) 1/8 (fma.f64 (pow.f64 b 3) -1/12 (log.f64 2))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (log.f64 1/2))
(fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 -2 (log.f64 (/.f64 1 b))) (*.f64 2 (/.f64 1 b))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b))))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2)) (+.f64 (/.f64 2 b) (/.f64 2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (+.f64 (*.f64 2 (/.f64 1 b)) (+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 b)))))) (*.f64 16/3 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b))) (/.f64 16/3 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (/.f64 2 b) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (log.f64 1/2)) (/.f64 16/3 (pow.f64 b 3)))))
(+.f64 (log.f64 1/2) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 b)) (/.f64 2 b)) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 -16/3 (pow.f64 b 3)))))
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(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 2 b) 3)) (fma.f64 (pow.f64 b 4) 1/4 (*.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (*.f64 b b) -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 2 b) 2) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 2 b) 3) (*.f64 1/8 (pow.f64 (*.f64 b b) 3))) (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 2 b) 2)) (*.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 2 b) 3)) (fma.f64 (pow.f64 b 4) 1/4 (*.f64 (+.f64 2 b) (-.f64 b (fma.f64 1/2 (*.f64 b b) -2)))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 1)
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 2)
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))) 3)
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3) 1/3)
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))) (sqrt.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 2))
(fabs.f64 (+.f64 2 (fma.f64 1/2 (*.f64 b b) b)))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b)) 3))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 2 b))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1/2 (*.f64 b b) (+.f64 2 b))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (*.f64 b b) 1/2 (+.f64 2 b))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1 (*.f64 1/2 (*.f64 b b)) (+.f64 2 b))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 2 b))
(fma.f64 (sqrt.f64 (+.f64 2 b)) (sqrt.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 b b)))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 b b))) (+.f64 2 b))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) (cbrt.f64 (+.f64 2 b)) (*.f64 1/2 (*.f64 b b)))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 (*.f64 b 1/2) b (+.f64 2 b))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (log1p.f64 (exp.f64 b)))
✓0.5b
(log1p.f64 (exp.f64 b))
✓0.9b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
Compiler

Compiled 21 to 11 computations (47.6% saved)

series12.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
11.0ms
b
@inf
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
0.0ms
b
@0
(+.f64 1 (log1p.f64 (exp.f64 b)))
0.0ms
b
@0
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
0.0ms
b
@inf
(+.f64 1 (log1p.f64 (exp.f64 b)))
0.0ms
b
@-inf
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)

rewrite66.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1756×add-sqr-sqrt
1740×*-un-lft-identity
1626×add-cube-cbrt
1612×add-cbrt-cube
186×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0957
118933
2245533
Stop Event
1×node limit
Counts
3 → 114
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(log1p.f64 (exp.f64 b))
(+.f64 1 (log1p.f64 (exp.f64 b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (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 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (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 (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 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1) (+.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1) (-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1))) (-.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (+.f64 (log1p.f64 (exp.f64 b)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(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 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(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 sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (exp.f64 b)))))) (#(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 (log.f64 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log1p.f64 (exp.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 (/.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))) (/.f64 1 (+.f64 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simplify66.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1284×times-frac
942×associate-+r+
872×associate-/l*
818×associate-+l+
726×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01833838
14303636
220043612
Stop Event
1×node limit
Counts
150 → 113
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)))
(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)))
(+.f64 1 (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))))
(+.f64 (*.f64 1/2 b) (+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4))))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1))
(+.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1))
(+.f64 (log1p.f64 (exp.f64 b)) 0)
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1)
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1)
(+.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 b))))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 1))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1) (+.f64 (log1p.f64 (exp.f64 b)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1) (-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1))) (-.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (+.f64 (log1p.f64 (exp.f64 b)) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 1 (exp.f64 b)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (exp.f64 b))
(fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 b))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) -1)
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1))
(+.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1))
(+.f64 (log1p.f64 (exp.f64 b)) 0)
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1)
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1)
(+.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 b))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 1))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1) (+.f64 (log1p.f64 (exp.f64 b)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1) (-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1))) (-.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1)) (+.f64 (log1p.f64 (exp.f64 b)) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1)) (neg.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))
(pow.f64 (log1p.f64 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 1 (exp.f64 b)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 b))) 1))
(fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 b))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) -1)
(-.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 b)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))
(*.f64 1 (+.f64 1 (log1p.f64 (exp.f64 b))))
(*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))))
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 1))
(*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 1))
(*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 b)))))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b))))))
(/.f64 1 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 b))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (-.f64 1 (log1p.f64 (exp.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1) (-.f64 1 (log1p.f64 (exp.f64 b))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) 1) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b))))))
(pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2))
(log.f64 (*.f64 (E.f64) (+.f64 1 (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 b))))))
(cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3))
(expm1.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))))
(fma.f64 1 (log1p.f64 (exp.f64 b)) 1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))) 1)
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)))
(+.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))))
(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))
(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)))
(+.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))))
(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))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
(fma.f64 1/2 b (+.f64 (log.f64 2) 1))
(+.f64 (log.f64 2) (fma.f64 1/2 b 1))
(+.f64 (*.f64 1/2 b) (+.f64 1 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) 1))
(+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (fma.f64 1/2 b 1))
(+.f64 (*.f64 1/2 b) (+.f64 1 (+.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 (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4))) 1))
(+.f64 (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))) (fma.f64 1/2 b 1))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1))
(log1p.f64 (exp.f64 b))
(+.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1))
(log1p.f64 (exp.f64 b))
(+.f64 (log1p.f64 (exp.f64 b)) 0)
(log1p.f64 (exp.f64 b))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1)
(log1p.f64 (exp.f64 b))
(+.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) 1)
(log1p.f64 (exp.f64 b))
(+.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))
(log1p.f64 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (exp.f64 b))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (+.f64 2 (log1p.f64 (exp.f64 b))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 1))
(log1p.f64 (exp.f64 b))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (+.f64 2 (log1p.f64 (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1) (+.f64 (log1p.f64 (exp.f64 b)) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (+.f64 2 (log1p.f64 (exp.f64 b))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) -1) (-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2)) (+.f64 2 (log1p.f64 (exp.f64 b))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2) (+.f64 2 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3)) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) (+.f64 2 (log1p.f64 (exp.f64 b))))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1))) (-.f64 1 (+.f64 (log1p.f64 (exp.f64 b)) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 b)) -1) (+.f64 (log1p.f64 (exp.f64 b)) -1))) (-.f64 2 (log1p.f64 (exp.f64 b))))
(/.f64 (-.f64 0 (*.f64 (log1p.f64 (exp.f64 b)) (+.f64 (log1p.f64 (exp.f64 b)) -2))) (-.f64 2 (log1p.f64 (exp.f64 b))))
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(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (*.f64 (log1p.f64 (exp.f64 b)) (+.f64 (log1p.f64 (exp.f64 b)) -1))))
(/.f64 (-.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 -1 (*.f64 (log1p.f64 (exp.f64 b)) (-.f64 1 (log1p.f64 (exp.f64 b))))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (-.f64 1 (log1p.f64 (exp.f64 b))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (*.f64 (log1p.f64 (exp.f64 b)) (+.f64 (log1p.f64 (exp.f64 b)) -1))))
(/.f64 (-.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 -1 (*.f64 (log1p.f64 (exp.f64 b)) (-.f64 1 (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (*.f64 (log1p.f64 (exp.f64 b)) (+.f64 (log1p.f64 (exp.f64 b)) -1))))
(/.f64 (-.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 -1 (*.f64 (log1p.f64 (exp.f64 b)) (-.f64 1 (log1p.f64 (exp.f64 b))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) 1) (-.f64 1 (log1p.f64 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (-.f64 1 (log1p.f64 (exp.f64 b))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (*.f64 (log1p.f64 (exp.f64 b)) (+.f64 (log1p.f64 (exp.f64 b)) -1))))
(/.f64 (-.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 -1 (*.f64 (log1p.f64 (exp.f64 b)) (-.f64 1 (log1p.f64 (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) 1) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (-.f64 1 (log1p.f64 (exp.f64 b))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 b)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (-.f64 1 (log1p.f64 (exp.f64 b))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (+.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b))))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (log1p.f64 (exp.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 1 (*.f64 (log1p.f64 (exp.f64 b)) (+.f64 (log1p.f64 (exp.f64 b)) -1))))
(/.f64 (-.f64 -1 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 -1 (*.f64 (log1p.f64 (exp.f64 b)) (-.f64 1 (log1p.f64 (exp.f64 b))))))
(pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(pow.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 2)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))) 3)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3) 1/3)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 2))
(fabs.f64 (+.f64 1 (log1p.f64 (exp.f64 b))))
(log.f64 (*.f64 (E.f64) (+.f64 1 (exp.f64 b))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 b))))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 3))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(expm1.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 b)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 b)))))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 b))) 1))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 b)))))
(+.f64 1 (log1p.f64 (exp.f64 b)))
(fma.f64 1 (log1p.f64 (exp.f64 b)) 1)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))) 1)
(+.f64 1 (log1p.f64 (exp.f64 b)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))) 1)
(+.f64 1 (log1p.f64 (exp.f64 b)))

eval398.0ms (2.3%)

Compiler

Compiled 26083 to 16018 computations (38.6% saved)

prune193.0ms (1.1%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New9167923
Fresh448
Picked101
Done549
Total92615941
Error
0.4b
Counts
941 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
33.2b
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
▶31.4b
(/.f64 b (+.f64 1 (exp.f64 a)))
▶32.6b
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
▶32.3b
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
✓32.2b
(+.f64 (*.f64 1/2 b) (log.f64 2))
▶25.9b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
▶56.4b
(*.f64 1/2 b)
31.2b
(log1p.f64 (exp.f64 b))
✓31.0b
(log1p.f64 (exp.f64 a))
32.3b
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
33.1b
(log.f64 (+.f64 (+.f64 2 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
32.3b
(log.f64 (+.f64 2 b))
✓31.2b
(log.f64 (+.f64 1 (exp.f64 b)))
✓32.6b
(log.f64 2)
32.3b
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
Compiler

Compiled 244 to 195 computations (20.1% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
✓0.1b
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
✓3.5b
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
Compiler

Compiled 35 to 8 computations (77.1% saved)

series51.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
17.0ms
b
@0
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
15.0ms
a
@inf
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
10.0ms
b
@-inf
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
5.0ms
b
@inf
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
1.0ms
a
@0
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))

rewrite135.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1044×*-commutative
960×associate-*r/
736×distribute-lft-in
720×distribute-rgt-in
686×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01171
122767
2300167
Stop Event
1×node limit
Counts
3 → 254
Calls
Call 1
Inputs
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
Outputs
((#(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 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) b)))) (#(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 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (+.f64 (exp.f64 a) 1)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b (/.f64 (+.f64 (exp.f64 a) 1) 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 (sqrt.f64 b) (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 b) (/.f64 (+.f64 (exp.f64 a) 1) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 b) (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)) (cbrt.f64 (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 b) (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) (cbrt.f64 b)))))) (#(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 (sqrt.f64 b)) (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)) (sqrt.f64 (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) (sqrt.f64 b)) (sqrt.f64 (cbrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 b) 2))) (/.f64 (/.f64 (+.f64 (exp.f64 a) 1) (cbrt.f64 b)) (cbrt.f64 (pow.f64 (cbrt.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b) (neg.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 b)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 b)) (neg.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 b)) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b) 1) (neg.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 b) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)) (cbrt.f64 (+.f64 (exp.f64 a) 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 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b (*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 (+.f64 (exp.f64 a) 1)))) (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 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 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 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify131.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
790×associate-*r*
728×associate-/l*
674×associate-*l*
570×+-commutative
566×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069620452
1193519830
Stop Event
1×node limit
Counts
326 → 431
Calls
Call 1
Inputs
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (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)))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (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)))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 2)))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (*.f64 -1/2 (*.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (*.f64 -1/2 (*.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))) (*.f64 1/24 (*.f64 (pow.f64 a 3) (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (*.f64 -1/2 (*.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 3) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))) (*.f64 -1/240 (*.f64 (pow.f64 a 5) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
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(/.f64 (*.f64 1 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2))) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) 1) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) 1) (neg.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) 3)) (/.f64 1 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) 3) (pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (log1p.f64 (exp.f64 a)) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) 1) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2)) (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a))))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 3) (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) 2) (*.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (-.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))))))
(pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 2))
(log.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(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)))
(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)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
Outputs
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 2)))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (*.f64 -1/2 (*.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))))
(*.f64 (+.f64 (*.f64 a -1/2) 1) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (*.f64 -1/2 (*.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))) (*.f64 1/24 (*.f64 (pow.f64 a 3) (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (fma.f64 -1/2 (*.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))) (*.f64 1/24 (*.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (pow.f64 a 3)))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (*.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (*.f64 a -1/2) (*.f64 1/24 (pow.f64 a 3)))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (*.f64 -1/2 (*.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a 3) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))) (*.f64 -1/240 (*.f64 (pow.f64 a 5) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))))))
(+.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (fma.f64 -1/2 (*.f64 a (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))) (fma.f64 1/24 (*.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (pow.f64 a 3)) (*.f64 (*.f64 -1/240 (pow.f64 a 5)) (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))))))
(+.f64 (*.f64 (+.f64 (*.f64 a -1/2) 1) (exp.f64 (-.f64 (log.f64 b) (log.f64 2)))) (*.f64 (exp.f64 (-.f64 (log.f64 b) (log.f64 2))) (+.f64 (*.f64 1/24 (pow.f64 a 3)) (*.f64 -1/240 (pow.f64 a 5)))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))
(-.f64 (log.f64 b) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))
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(exp.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) 1)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 (exp.f64 a) 1)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 a))) (sqrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(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)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(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)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2) (cbrt.f64 (log1p.f64 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 17 to 9 computations (47.1% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
✓0.9b
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
Compiler

Compiled 33 to 29 computations (12.1% saved)

series1.0ms (0%)

Counts
2 → 15
Calls

6 calls:

TimeVariablePointExpression
0.0ms
b
@0
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
0.0ms
b
@0
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
0.0ms
b
@-inf
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
0.0ms
b
@inf
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
0.0ms
b
@-inf
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)

rewrite87.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1562×associate-*r/
1146×associate-*l/
1080×*-commutative
330×associate-+l+
300×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01244
126532
2352432
Stop Event
1×node limit
Counts
2 → 177
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
(+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 b) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (log.f64 2) -1) (*.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 1/2 b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (fma.f64 1/2 b (log.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 1/2 b (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1/2 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 0 (*.f64 1/2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 (fma.f64 1/2 b 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 b) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 b (log.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 b (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 b 1) (+.f64 (log.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/2 b) -1) (+.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) -1) (fma.f64 1/2 b 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (fma.f64 1/2 b (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (fma.f64 1/2 b 1)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 b (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 b (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))))) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (+.f64 2 (fma.f64 1/2 b (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (log.f64 2) 2))) (-.f64 (*.f64 1/2 b) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 b 3)))) (+.f64 (*.f64 1/4 (*.f64 b b)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 b) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) -1))) (neg.f64 (+.f64 2 (fma.f64 1/2 b (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (+.f64 2 (fma.f64 1/2 b (log.f64 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simplify112.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1702×associate-/r*
1504×associate-*r/
1158×associate-*l/
718×+-commutative
674×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043610466
111599494
244989488
Stop Event
1×node limit
Counts
192 → 271
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 1 (log.f64 2))
(*.f64 1/2 b)
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 1 (+.f64 (+.f64 (log.f64 2) -1) (*.f64 1/2 b)))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 1/2 b) -1)))
(+.f64 1 (+.f64 (fma.f64 1/2 b (log.f64 2)) -1))
(+.f64 1 (+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) -1)))
(+.f64 1 (-.f64 (fma.f64 1/2 b (log.f64 2)) 1))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(+.f64 (log.f64 2) (+.f64 0 (*.f64 1/2 b)))
(+.f64 (log.f64 2) (+.f64 (fma.f64 1/2 b 1) -1))
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 b) -1))
(+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) -1)
(+.f64 (fma.f64 1/2 b (log.f64 2)) 0)
(+.f64 0 (fma.f64 1/2 b (log.f64 2)))
(+.f64 (fma.f64 1/2 b 1) (+.f64 (log.f64 2) -1))
(+.f64 -1 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))
(+.f64 (+.f64 (*.f64 1/2 b) -1) (+.f64 1 (log.f64 2)))
(+.f64 (+.f64 (log.f64 2) -1) (fma.f64 1/2 b 1))
(+.f64 (+.f64 -1 (fma.f64 1/2 b (log.f64 2))) 1)
(+.f64 (+.f64 -1 (fma.f64 1/2 b 1)) (log.f64 2))
(*.f64 1 (fma.f64 1/2 b (log.f64 2)))
(*.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(*.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) -1) (/.f64 1 (+.f64 2 (fma.f64 1/2 b (log.f64 2)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (+.f64 2 (fma.f64 1/2 b (log.f64 2))))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (-.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 1) (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(*.f64 (/.f64 1 (+.f64 2 (fma.f64 1/2 b (log.f64 2)))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (+.f64 2 (fma.f64 1/2 b (log.f64 2))))) (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)))
(/.f64 1 (/.f64 1 (fma.f64 1/2 b (log.f64 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) -1))) (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3))))
(/.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) -1) (+.f64 2 (fma.f64 1/2 b (log.f64 2))))
(/.f64 (+.f64 2 (fma.f64 1/2 b (log.f64 2))) (/.f64 (+.f64 2 (fma.f64 1/2 b (log.f64 2))) (fma.f64 1/2 b (log.f64 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (+.f64 2 (fma.f64 1/2 b (log.f64 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) -1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) -1)) (/.f64 (+.f64 2 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) -1))))
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(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 1/2 b 1) 3)) (+.f64 (*.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (neg.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 1/4 (*.f64 b b)))) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (pow.f64 (log.f64 2) 2))) (-.f64 (fma.f64 1/2 b 1) (log.f64 2)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 1/2 b 1) 3))) (+.f64 (*.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (neg.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) (sqrt.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) (sqrt.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2) (cbrt.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2) (cbrt.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2)))) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 1/4 (*.f64 b b))) 1) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b))))
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (pow.f64 (log.f64 2) 2)) 1) (-.f64 (fma.f64 1/2 b 1) (log.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (fma.f64 1/2 b 1) 3)) 1) (+.f64 (*.f64 (fma.f64 1/2 b 1) (fma.f64 1/2 b 1)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2))) 1) (neg.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3))) 1) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 1/4 (*.f64 b b))) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (/.f64 1 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (+.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 1/4 (*.f64 b b)) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) 3)) (/.f64 1 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (+.f64 (+.f64 (*.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 1/4 (*.f64 b b))) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (*.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 1/8 (pow.f64 b 3)) (*.f64 1/8 (pow.f64 b 3))) (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b))))))) (-.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 1/8 (pow.f64 b 3)) 3) (pow.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b))))))) (+.f64 (*.f64 (*.f64 1/8 (pow.f64 b 3)) (*.f64 1/8 (pow.f64 b 3))) (-.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 2)) 3) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) 1) (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))))) (sqrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))) (cbrt.f64 (-.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))))
(/.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 b b)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (+.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2))))) (-.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (+.f64 1 (log.f64 2)))))
(/.f64 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b))))))
(/.f64 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b))))))) (sqrt.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b)))))))
(/.f64 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 b 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b)))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b)))))))) (cbrt.f64 (+.f64 (*.f64 1/4 (*.f64 b b)) (*.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (-.f64 (log.f64 2) (*.f64 1/2 b)))))))
(pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2))
(log.f64 (*.f64 2 (exp.f64 (fma.f64 1/2 b 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))
(exp.f64 (log1p.f64 (fma.f64 1/2 b (log.f64 2))))
(log1p.f64 (expm1.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))))
(fma.f64 1/2 b (+.f64 1 (log.f64 2)))
(fma.f64 b 1/2 (+.f64 1 (log.f64 2)))
(fma.f64 1 (*.f64 1/2 b) (+.f64 1 (log.f64 2)))
(fma.f64 1 (+.f64 1 (log.f64 2)) (*.f64 1/2 b))
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (+.f64 1 (log.f64 2)))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 b)) 2) (cbrt.f64 (*.f64 1/2 b)) (+.f64 1 (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 2))) 2) (cbrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 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) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(*.f64 1/2 b)
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(+.f64 1 (+.f64 (+.f64 (log.f64 2) -1) (*.f64 1/2 b)))
(fma.f64 1/2 b (log.f64 2))
(+.f64 1 (+.f64 (log.f64 2) (+.f64 (*.f64 1/2 b) -1)))
(fma.f64 1/2 b (log.f64 2))
(+.f64 1 (+.f64 (fma.f64 1/2 b (log.f64 2)) -1))
(fma.f64 1/2 b (log.f64 2))
(+.f64 1 (+.f64 (*.f64 1/2 b) (+.f64 (log.f64 2) -1)))
(fma.f64 1/2 b (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 b (log.f64 2)) 1))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 b))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (log.f64 2) (+.f64 0 (*.f64 1/2 b)))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (fma.f64 1/2 b 1) -1))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 b) -1))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) -1)
(fma.f64 1/2 b (log.f64 2))
(+.f64 (fma.f64 1/2 b (log.f64 2)) 0)
(fma.f64 1/2 b (log.f64 2))
(+.f64 0 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (fma.f64 1/2 b 1) (+.f64 (log.f64 2) -1))
(fma.f64 1/2 b (log.f64 2))
(+.f64 -1 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (+.f64 (*.f64 1/2 b) -1) (+.f64 1 (log.f64 2)))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (+.f64 (log.f64 2) -1) (fma.f64 1/2 b 1))
(fma.f64 1/2 b (log.f64 2))
(+.f64 (+.f64 -1 (fma.f64 1/2 b (log.f64 2))) 1)
(fma.f64 1/2 b (log.f64 2))
(+.f64 (+.f64 -1 (fma.f64 1/2 b 1)) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(*.f64 1 (fma.f64 1/2 b (log.f64 2)))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (fma.f64 1/2 b (log.f64 2)) 1)
(fma.f64 1/2 b (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 b (log.f64 2))) (sqrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) -1) (/.f64 1 (+.f64 2 (fma.f64 1/2 b (log.f64 2)))))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (+.f64 2 (fma.f64 1/2 b (log.f64 2))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)) (+.f64 2 (+.f64 (fma.f64 1/2 b (log.f64 2)) (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (+.f64 2 (fma.f64 1/2 b (log.f64 2)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) (-.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 1))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (-.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1))) 1) (+.f64 1 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (/.f64 1 (+.f64 2 (fma.f64 1/2 b (log.f64 2)))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) -1))
(fma.f64 1/2 b (log.f64 2))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (+.f64 2 (fma.f64 1/2 b (log.f64 2))))) (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (+.f64 2 (fma.f64 1/2 b (log.f64 2))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)) (+.f64 2 (+.f64 (fma.f64 1/2 b (log.f64 2)) (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (+.f64 2 (fma.f64 1/2 b (log.f64 2)))))
(/.f64 1 (/.f64 1 (fma.f64 1/2 b (log.f64 2))))
(fma.f64 1/2 b (log.f64 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) -1))) (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)) 3))))
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(+.f64 (log.f64 2) (fma.f64 1/2 b 1))
(fma.f64 1 (+.f64 1 (log.f64 2)) (*.f64 1/2 b))
(+.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (fma.f64 1/2 b 1))
(+.f64 (log.f64 2) (fma.f64 1/2 b 1))
(fma.f64 (sqrt.f64 (*.f64 1/2 b)) (sqrt.f64 (*.f64 1/2 b)) (+.f64 1 (log.f64 2)))
(+.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (fma.f64 1/2 b 1))
(+.f64 (log.f64 2) (fma.f64 1/2 b 1))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))
(+.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (fma.f64 1/2 b 1))
(+.f64 (log.f64 2) (fma.f64 1/2 b 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 b)) 2) (cbrt.f64 (*.f64 1/2 b)) (+.f64 1 (log.f64 2)))
(+.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (fma.f64 1/2 b 1))
(+.f64 (log.f64 2) (fma.f64 1/2 b 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 2))) 2) (cbrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 b))
(+.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (fma.f64 1/2 b 1))
(+.f64 (log.f64 2) (fma.f64 1/2 b 1))

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (-.f64 1/2 (*.f64 1/4 b)) a)
0.0b
(+.f64 (*.f64 1/2 b) (log.f64 2))
Compiler

Compiled 47 to 36 computations (23.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
0.0ms
a
@0
(*.f64 (-.f64 1/2 (*.f64 1/4 b)) a)
0.0ms
b
@0
(*.f64 (-.f64 1/2 (*.f64 1/4 b)) a)
0.0ms
b
@inf
(*.f64 (-.f64 1/2 (*.f64 1/4 b)) a)
0.0ms
a
@inf
(*.f64 (-.f64 1/2 (*.f64 1/4 b)) a)
0.0ms
a
@-inf
(*.f64 (-.f64 1/2 (*.f64 1/4 b)) a)

rewrite56.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1920×add-sqr-sqrt
1894×*-un-lft-identity
1774×add-cube-cbrt
1756×add-cbrt-cube
186×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
119419
2236319
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (-.f64 1/2 (*.f64 1/4 b)) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a 1/2) (*.f64 a (*.f64 b -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 a) (*.f64 (*.f64 b -1/4) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 1/4 (*.f64 (*.f64 b b) 1/16))) (+.f64 1/2 (*.f64 1/4 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 b b) 1/16) (*.f64 1/8 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 b b) 1/16)) a) (+.f64 1/2 (*.f64 1/4 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64)) a) (+.f64 1/4 (+.f64 (*.f64 (*.f64 b b) 1/16) (*.f64 1/8 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)))))))

simplify58.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1134×fma-def
990×distribute-lft-out
894×associate-*r*
786×associate-*l*
564×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071689
1162581
2470549
32949549
46000549
Stop Event
1×node limit
Counts
31 → 32
Calls
Call 1
Inputs
(*.f64 1/2 a)
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(*.f64 -1/4 (*.f64 a b))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(*.f64 -1/4 (*.f64 a b))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(+.f64 (*.f64 a 1/2) (*.f64 a (*.f64 b -1/4)))
(+.f64 (*.f64 1/2 a) (*.f64 (*.f64 b -1/4) a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a))) 1)
(/.f64 (*.f64 a (-.f64 1/4 (*.f64 (*.f64 b b) 1/16))) (+.f64 1/2 (*.f64 1/4 b)))
(/.f64 (*.f64 a (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 b b) 1/16) (*.f64 1/8 b))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 b b) 1/16)) a) (+.f64 1/2 (*.f64 1/4 b)))
(/.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64)) a) (+.f64 1/4 (+.f64 (*.f64 (*.f64 b b) 1/16) (*.f64 1/8 b))))
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)))
Outputs
(*.f64 1/2 a)
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(*.f64 -1/4 (*.f64 a b))
(*.f64 a (*.f64 -1/4 b))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(*.f64 -1/4 (*.f64 a b))
(*.f64 a (*.f64 -1/4 b))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(+.f64 (*.f64 1/2 a) (*.f64 -1/4 (*.f64 a b)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(+.f64 (*.f64 a 1/2) (*.f64 a (*.f64 b -1/4)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(+.f64 (*.f64 1/2 a) (*.f64 (*.f64 b -1/4) a))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a))) 1)
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(/.f64 (*.f64 a (-.f64 1/4 (*.f64 (*.f64 b b) 1/16))) (+.f64 1/2 (*.f64 1/4 b)))
(/.f64 (*.f64 a (-.f64 1/4 (*.f64 b (*.f64 b 1/16)))) (+.f64 1/2 (*.f64 b 1/4)))
(*.f64 (/.f64 a (fma.f64 b 1/4 1/2)) (-.f64 1/4 (*.f64 (*.f64 b b) 1/16)))
(*.f64 (fma.f64 b (*.f64 b -1/16) 1/4) (/.f64 a (fma.f64 b 1/4 1/2)))
(/.f64 (*.f64 a (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 b b) 1/16) (*.f64 1/8 b))))
(/.f64 (*.f64 a (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64))) (+.f64 1/4 (fma.f64 (*.f64 b b) 1/16 (*.f64 b 1/8))))
(*.f64 (/.f64 a (+.f64 1/4 (*.f64 b (+.f64 (*.f64 b 1/16) 1/8)))) (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64)))
(*.f64 a (/.f64 (fma.f64 (pow.f64 b 3) -1/64 1/8) (fma.f64 b (fma.f64 b 1/16 1/8) 1/4)))
(*.f64 (fma.f64 (pow.f64 b 3) -1/64 1/8) (/.f64 a (fma.f64 b (fma.f64 b 1/16 1/8) 1/4)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 b b) 1/16)) a) (+.f64 1/2 (*.f64 1/4 b)))
(/.f64 (*.f64 a (-.f64 1/4 (*.f64 b (*.f64 b 1/16)))) (+.f64 1/2 (*.f64 b 1/4)))
(*.f64 (/.f64 a (fma.f64 b 1/4 1/2)) (-.f64 1/4 (*.f64 (*.f64 b b) 1/16)))
(*.f64 (fma.f64 b (*.f64 b -1/16) 1/4) (/.f64 a (fma.f64 b 1/4 1/2)))
(/.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64)) a) (+.f64 1/4 (+.f64 (*.f64 (*.f64 b b) 1/16) (*.f64 1/8 b))))
(/.f64 (*.f64 a (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64))) (+.f64 1/4 (fma.f64 (*.f64 b b) 1/16 (*.f64 b 1/8))))
(*.f64 (/.f64 a (+.f64 1/4 (*.f64 b (+.f64 (*.f64 b 1/16) 1/8)))) (-.f64 1/8 (*.f64 (pow.f64 b 3) 1/64)))
(*.f64 a (/.f64 (fma.f64 (pow.f64 b 3) -1/64 1/8) (fma.f64 b (fma.f64 b 1/16 1/8) 1/4)))
(*.f64 (fma.f64 (pow.f64 b 3) -1/64 1/8) (/.f64 a (fma.f64 b (fma.f64 b 1/16 1/8) 1/4)))
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 1)
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)) 2)
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)) 3)
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 3) 1/3)
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 2))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4))))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a))))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a) 3))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)) 1))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 b -1/4)) a)))
(*.f64 a (+.f64 1/2 (*.f64 -1/4 b)))
(*.f64 a (fma.f64 -1/4 b 1/2))

eval415.0ms (2.4%)

Compiler

Compiled 26296 to 16359 computations (37.8% saved)

prune205.0ms (1.2%)

Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New97910989
Fresh156
Picked101
Done178
Total982221004
Error
0.4b
Counts
1004 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
33.2b
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
60.7b
(/.f64 b (+.f64 2 a))
✓31.4b
(/.f64 b (+.f64 1 (exp.f64 a)))
✓32.6b
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
32.7b
(-.f64 (expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 1)
61.6b
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
32.6b
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (log.f64 2))
32.3b
(+.f64 (*.f64 a (*.f64 -1/4 b)) (+.f64 (*.f64 1/2 b) (log.f64 2)))
✓32.2b
(+.f64 (*.f64 1/2 b) (log.f64 2))
63.7b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (pow.f64 (sqrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 2)))
63.7b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (sqrt.f64 (+.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (+.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))
63.7b
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (expm1.f64 (log1p.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))
41.2b
(+.f64 (log.f64 2) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))
60.4b
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
✓56.4b
(*.f64 1/2 b)
31.2b
(log1p.f64 (exp.f64 b))
✓31.0b
(log1p.f64 (exp.f64 a))
32.3b
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
32.3b
(log.f64 (+.f64 2 b))
✓31.2b
(log.f64 (+.f64 1 (exp.f64 b)))
✓32.6b
(log.f64 2)
32.3b
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
Compiler

Compiled 234 to 179 computations (23.5% saved)

regimes61.0ms (0.4%)

Counts
37 → 1
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
(log.f64 (+.f64 (+.f64 2 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (*.f64 a (*.f64 -1/4 b)) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))) (/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 b (+.f64 1 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))
(exp.f64 (log.f64 (fma.f64 1/2 b (log.f64 2))))
(pow.f64 (cbrt.f64 (fma.f64 1/2 b (log.f64 2))) 3)
(+.f64 (log.f64 2) (exp.f64 (-.f64 (log.f64 b) (log.f64 2))))
(-.f64 (expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 b 1)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (expm1.f64 (log1p.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (pow.f64 (sqrt.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))) 2)))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b) 2) (pow.f64 (log1p.f64 (exp.f64 a)) 2)) (sqrt.f64 (+.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))) (sqrt.f64 (+.f64 (log.f64 b) (log1p.f64 (exp.f64 a)))))))
Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
Calls

6 calls:

18.0ms
b
17.0ms
a
5.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms
(exp.f64 b)
Results
ErrorSegmentsBranch
1.0b1a
1.0b1b
1.0b1(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0b1(+.f64 (exp.f64 a) (exp.f64 b))
1.0b1(exp.f64 a)
1.0b1(exp.f64 b)
Compiler

Compiled 376 to 229 computations (39.1% saved)

regimes73.0ms (0.4%)

Counts
25 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
(log.f64 (+.f64 (+.f64 2 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (*.f64 a (*.f64 -1/4 b)) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))) (/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

6 calls:

24.0ms
a
23.0ms
b
6.0ms
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms
(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.0b2a
1.3b2b
1.0b2(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0b2(+.f64 (exp.f64 a) (exp.f64 b))
1.0b2(exp.f64 a)
1.3b2(exp.f64 b)
Compiler

Compiled 235 to 158 computations (32.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.980026382791613e-62
0.4731780951156048
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes60.0ms (0.4%)

Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
(log.f64 (+.f64 (+.f64 2 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (*.f64 a (*.f64 -1/4 b)) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))) (/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
Outputs
(log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(log.f64 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

23.0ms
b
23.0ms
a
5.0ms
(exp.f64 a)
5.0ms
(exp.f64 b)
Results
ErrorSegmentsBranch
1.4b2a
1.4b2b
1.4b2(exp.f64 a)
1.4b2(exp.f64 b)
Compiler

Compiled 214 to 145 computations (32.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.003149956477655
1.0074872367181136
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes106.0ms (0.6%)

Counts
22 → 3
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
(log.f64 (+.f64 (+.f64 2 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (*.f64 a (*.f64 -1/4 b)) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))) (/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 -1 b))))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
Calls

4 calls:

59.0ms
b
31.0ms
a
6.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
Results
ErrorSegmentsBranch
0.5b3a
19.9b6b
0.5b3(exp.f64 a)
29.5b2(exp.f64 b)
Compiler

Compiled 190 to 133 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999564
0.9999999999999997
0.0ms
0.0
1.9214688761411061e-159
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes72.0ms (0.4%)

Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
(log.f64 (+.f64 (+.f64 2 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (*.f64 a (*.f64 -1/4 b)) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))) (/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))
(log1p.f64 (exp.f64 a))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
Calls

3 calls:

47.0ms
b
17.0ms
a
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.9b2a
20.9b6b
1.9b2(exp.f64 a)
Compiler

Compiled 155 to 109 computations (29.7% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.9214688761411061e-159
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes70.0ms (0.4%)

Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
(log.f64 (+.f64 (+.f64 2 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (*.f64 a (*.f64 -1/4 b)) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(+.f64 (log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))) (/.f64 a (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2)))
Calls

3 calls:

45.0ms
b
16.0ms
a
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
2.3b2a
21.4b6b
2.3b2(exp.f64 a)
Compiler

Compiled 152 to 108 computations (28.9% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.980026382791613e-62
0.4731780951156048
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes63.0ms (0.4%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
(log.f64 (+.f64 (+.f64 2 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (*.f64 a (*.f64 -1/4 b)) (+.f64 (*.f64 1/2 b) (log.f64 2)))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 a) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
Calls

3 calls:

41.0ms
b
15.0ms
a
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
2.3b2a
21.4b6b
2.3b2(exp.f64 a)
Compiler

Compiled 116 to 84 computations (27.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.980026382791613e-62
0.4731780951156048
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes57.0ms (0.3%)

Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (log.f64 2))
(-.f64 (+.f64 (*.f64 1/2 b) (+.f64 1 (log.f64 2))) 1)
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (log.f64 2))
Calls

3 calls:

37.0ms
b
13.0ms
a
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
2.6b2a
21.4b6b
2.6b2(exp.f64 a)
Compiler

Compiled 92 to 68 computations (26.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.980026382791613e-62
0.4731780951156048
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes51.0ms (0.3%)

Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
(/.f64 b (+.f64 1 (exp.f64 a)))
(log.f64 (+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b))))
Outputs
(/.f64 b (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
Calls

3 calls:

32.0ms
b
12.0ms
a
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
2.7b2a
21.4b6b
2.7b2(exp.f64 a)
Compiler

Compiled 72 to 51 computations (29.2% saved)

bsearch46.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
45.0ms
-7785.988109499095
-365.4579398528504
Results
29.0ms58×body1024valid
11.0ms37×body512valid
2.0ms16×body256valid
1.0ms1×body2048valid
Compiler

Compiled 139 to 115 computations (17.3% saved)

regimes17.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log.f64 (*.f64 1/2 (*.f64 b b)))
(+.f64 (*.f64 1/2 b) (log.f64 2))
Outputs
(*.f64 1/2 b)
(+.f64 (*.f64 1/2 b) (log.f64 2))
Calls

2 calls:

10.0ms
a
5.0ms
b
Results
ErrorSegmentsBranch
27.7b2a
32.2b1b
Compiler

Compiled 52 to 38 computations (26.9% saved)

bsearch44.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
44.0ms
-7785.988109499095
-365.4579398528504
Results
31.0ms61×body1024valid
8.0ms23×body512valid
4.0ms27×body256valid
1.0ms1×body2048valid
Compiler

Compiled 118 to 101 computations (14.4% saved)

regimes17.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
(log.f64 2)
(log.f64 (+.f64 2 b))
(log.f64 (*.f64 1/2 (*.f64 b b)))
Outputs
(*.f64 1/2 b)
(log.f64 (+.f64 2 b))
Calls

2 calls:

10.0ms
a
5.0ms
b
Results
ErrorSegmentsBranch
27.8b2a
32.3b1b
Compiler

Compiled 46 to 33 computations (28.3% saved)

bsearch48.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
48.0ms
-7785.988109499095
-365.4579398528504
Results
36.0ms68×body1024valid
8.0ms29×body512valid
2.0ms15×body256valid
Compiler

Compiled 104 to 87 computations (16.3% saved)

regimes25.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
(log.f64 2)
Outputs
(*.f64 1/2 b)
(log.f64 2)
Calls

2 calls:

19.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
28.1b2a
32.6b1b
Compiler

Compiled 36 to 26 computations (27.8% saved)

bsearch40.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
40.0ms
-7785.988109499095
-365.4579398528504
Results
27.0ms50×body1024valid
8.0ms30×body512valid
4.0ms32×body256valid
Compiler

Compiled 90 to 80 computations (11.1% saved)

regimes10.0ms (0.1%)

Accuracy

Total -5.3b remaining (-9.4%)

Threshold costs -5.3b (-9.4%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 1/2 b)
(/.f64 b (+.f64 2 a))
(*.f64 b (+.f64 1/2 (*.f64 a -1/4)))
(+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (*.f64 1/2 b))
Outputs
(*.f64 1/2 b)
Calls

2 calls:

5.0ms
b
4.0ms
a
Results
ErrorSegmentsBranch
56.4b1a
56.4b1b
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×+-commutative
14×*-commutative
4×distribute-lft-neg-in
4×sub-neg
4×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065555
188555
297555
3101555
4104555
5105555
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 b) 1131529406376837/1125899906842624) (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))) (log.f64 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (if (<=.f64 (exp.f64 a) 1125899906842579/1125899906842624) (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (+.f64 2 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (log.f64 2)))
(if (<=.f64 a -370) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -370) (*.f64 1/2 b) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -370) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -370) (*.f64 1/2 b) (log.f64 2))
(*.f64 1/2 b)
Outputs
(log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(if (<=.f64 (exp.f64 b) 1131529406376837/1125899906842624) (log1p.f64 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))) (log.f64 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (if (<=.f64 (exp.f64 a) 1125899906842579/1125899906842624) (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (if (<=.f64 (exp.f64 a) 1125899906842579/1125899906842624) (log1p.f64 (exp.f64 a)) (log1p.f64 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 1 (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 0) (/.f64 b (+.f64 (exp.f64 a) 1)) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (+.f64 (*.f64 1/2 b) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 a (-.f64 1/2 (*.f64 b 1/4))) (+.f64 (*.f64 b 1/2) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 a (+.f64 1/2 (*.f64 b -1/4))) (+.f64 (*.f64 b 1/2) (log.f64 2))))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 1 (exp.f64 a))) (log.f64 (+.f64 (+.f64 2 a) (+.f64 b (*.f64 1/2 (*.f64 b b))))))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 (exp.f64 a) 1)) (log.f64 (+.f64 (+.f64 b (*.f64 1/2 (*.f64 b b))) (+.f64 a 2))))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 b)) a) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 a (-.f64 1/2 (*.f64 b 1/4))) (log.f64 2)))
(if (<=.f64 (exp.f64 a) 2894802230932905/28948022309329048855892746252171976963317496166410141009864396001978282409984) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 a (+.f64 1/2 (*.f64 b -1/4))) (log.f64 2)))
(if (<=.f64 a -370) (/.f64 b (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -370) (/.f64 b (+.f64 (exp.f64 a) 1)) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -370) (*.f64 1/2 b) (+.f64 (*.f64 1/2 b) (log.f64 2)))
(if (<=.f64 a -370) (*.f64 b 1/2) (+.f64 (*.f64 b 1/2) (log.f64 2)))
(if (<=.f64 a -370) (*.f64 1/2 b) (log.f64 (+.f64 2 b)))
(if (<=.f64 a -370) (*.f64 b 1/2) (log.f64 (+.f64 b 2)))
(if (<=.f64 a -370) (*.f64 1/2 b) (log.f64 2))
(if (<=.f64 a -370) (*.f64 b 1/2) (log.f64 2))
(*.f64 1/2 b)
(*.f64 b 1/2)
Compiler

Compiled 227 to 162 computations (28.6% saved)

soundness234.0ms (1.4%)

Algorithm
3×egg-herbie
Rules
1090×fma-def
1090×fma-def
1090×fma-def
1004×unswap-sqr
1004×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02002618
14992362
219822350
377112350
02002618
14992362
219822350
377112350
02002618
14992362
219822350
377112350
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 44 to 29 computations (34.1% saved)

end108.0ms (0.6%)

Compiler

Compiled 251 to 156 computations (37.8% saved)

Profiling

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