Details

Time bar (total: 8.1s)

analyze21.0ms (0.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
62.5%62.4%37.5%0.1%0%0%0%4
68.8%68.7%31.2%0.1%0%0%0%5
78.6%68.7%18.7%0.1%0%0%12.5%6
80%68.7%17.2%0.1%0%0%14%7
87.1%68.7%10.1%0.1%0%0%21.1%8
88.4%68.7%9%0.1%0%0%22.2%9
92.9%68.7%5.3%0.1%0%0%26%10
93.7%68.7%4.6%0.1%0%0%26.6%11
96.2%68.7%2.7%0.1%0%0%28.5%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.4s (17.1%)

Results
1.3s8256×body256valid
19.0ms197×body256unsamplable
Bogosity

preprocess6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
11250
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify13.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
11025
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
1.19%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.19%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.02%
(+.f64 (exp.f64 a) (exp.f64 b))
✓1.17%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

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

rewrite90.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
926×associate-*r/
900×*-commutative
794×associate-/r*
654×associate-*l/
614×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0940
118740
2253040
Stop Event
1×node limit
Counts
2 → 175
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
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(exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.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 neg.f64 (/.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 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))))))

simplify136.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
840×+-commutative
714×associate-+r+
666×times-frac
604×associate-*r*
600×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049311055
113978829
267258829
Stop Event
1×node limit
Counts
191 → 266
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(+.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 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (exp.f64 b)) 1 (exp.f64 b))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 b))) (sqrt.f64 (exp.f64 b)) (exp.f64 b))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 b))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (fma.f64 (neg.f64 (exp.f64 b)) 1 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (exp.f64 b))) (sqrt.f64 (exp.f64 b)) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (exp.f64 b))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (pow.f64 (exp.f64 a) 2)) (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(+.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (pow.f64 (exp.f64 a) 2)))
(+.f64 (*.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (*.f64 (neg.f64 (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))))
(+.f64 (*.f64 (pow.f64 (exp.f64 a) 2) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (*.f64 (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))))
(+.f64 (*.f64 (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (*.f64 (pow.f64 (exp.f64 a) 2) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
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(/.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))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (*.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 b) 3))) (*.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 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) (*.f64 (exp.f64 b) (pow.f64 (exp.f64 b) 3))) (*.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 (pow.f64 (exp.f64 a) 3) 3) (pow.f64 (pow.f64 (exp.f64 b) 3) 3)) (*.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 a) 3)) (*.f64 (pow.f64 (exp.f64 b) 3) (-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) 3) (pow.f64 (pow.f64 (exp.f64 b) 2) 3)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) (*.f64 (pow.f64 (exp.f64 b) 2) (+.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (cbrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) 1) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) 1) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) 1) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) (*.f64 (exp.f64 b) (pow.f64 (exp.f64 b) 3))) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) 3) (pow.f64 (pow.f64 (exp.f64 b) 2) 3)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (*.f64 (exp.f64 a) (pow.f64 (exp.f64 a) 3)) (*.f64 (pow.f64 (exp.f64 b) 2) (+.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 a) 3)) (*.f64 (pow.f64 (exp.f64 b) 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 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 3) 3) (pow.f64 (pow.f64 (exp.f64 b) 3) 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 a) 3)) (*.f64 (pow.f64 (exp.f64 b) 3) (-.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) 1) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (*.f64 (cbrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (+.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 b)))) (-.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 b))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) 1) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (neg.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)))))
(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)
(neg.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(neg.f64 (/.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)))))))
(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
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 3) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 (-.f64 (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 b b)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 1 (exp.f64 a))) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))))
(-.f64 (-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 (-.f64 (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 b b))) (*.f64 (-.f64 (fma.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 (exp.f64 a) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 (-.f64 (/.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1 (exp.f64 a)))) (pow.f64 b 3)))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (neg.f64 (neg.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 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)) (pow.f64 (exp.f64 a) 2)))
(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))
(neg.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(+.f64 (exp.f64 b) (exp.f64 a))
(neg.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(neg.f64 (/.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 (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)) (pow.f64 (exp.f64 a) 2)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 2))
(fabs.f64 (+.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))

eval98.0ms (1.2%)

Compiler

Compiled 6833 to 2944 computations (56.9% saved)

prune43.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2615266
Fresh000
Picked101
Done000
Total2625267
Error
0.32%
Counts
267 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.05%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶20.9%
(/.f64 1 (+.f64 1 (exp.f64 b)))
▶1.2%
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
▶1.16%
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
▶1.77%
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
Compiler

Compiled 106 to 76 computations (28.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.01%
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.02%
(+.f64 (exp.f64 a) (exp.f64 b))
✓1.3%
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓5.45%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 36 to 8 computations (77.8% saved)

series96.0ms (1.2%)

Counts
3 → 36
Calls

18 calls:

TimeVariablePointExpression
30.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
27.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
13.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
b
@0
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite135.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1058×*-commutative
876×associate-*r/
788×distribute-lft-in
768×distribute-rgt-in
674×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01169
122669
2304269
Stop Event
1×node limit
Counts
3 → 295
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) 1 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 (neg.f64 (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))) (fma.f64 (neg.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a 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(exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))

simplify188.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
998×associate-/l*
974×associate-*r*
862×associate-*l*
756×*-commutative
630×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082723321
1228423113
Stop Event
1×node limit
Counts
331 → 493
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 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.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 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.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))))))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.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 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.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 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 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 -1/6 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))))
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(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (sqrt.f64 (exp.f64 a)) 1))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (/.f64 (exp.f64 a) 1) 1) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))) (-.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (/.f64 (exp.f64 a) (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 (exp.f64 a) (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 (cbrt.f64 (exp.f64 a)) 2) (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (exp.f64 a)))
(*.f64 (/.f64 (/.f64 (exp.f64 a) 1) (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))) (-.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (/.f64 (/.f64 (exp.f64 a) 1) (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 (/.f64 (exp.f64 a) 1) (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 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(*.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))) (cbrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (exp.f64 a))))
(/.f64 (cbrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)))
(/.f64 (cbrt.f64 (exp.f64 a)) (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (exp.f64 a))) (cbrt.f64 (sqrt.f64 (exp.f64 a)))))
(/.f64 (cbrt.f64 (exp.f64 a)) (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))) (cbrt.f64 (exp.f64 a))))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (exp.f64 a))) (sqrt.f64 (cbrt.f64 (exp.f64 a)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 (exp.f64 a))) (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (exp.f64 a))) (sqrt.f64 (sqrt.f64 (exp.f64 a)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2))) (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2))))
(/.f64 (/.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (exp.f64 a) (+.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 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(/.f64 (*.f64 1 (/.f64 (exp.f64 a) 1)) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 1 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 1 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 1 (neg.f64 (exp.f64 a))) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (exp.f64 a))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (exp.f64 a))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.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 a) (exp.f64 b)))))
(/.f64 (*.f64 (/.f64 (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 a) 2)) (*.f64 (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))) (-.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) 2) 3) (pow.f64 (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))) 3))) (+.f64 (*.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (*.f64 (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (sqrt.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (exp.f64 a))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (cbrt.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (exp.f64 a))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (exp.f64 a))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (/.f64 (exp.f64 a) 1) 1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (neg.f64 (exp.f64 a)) 1) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))
(/.f64 (*.f64 (exp.f64 a) (+.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 1 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(/.f64 (/.f64 (/.f64 (exp.f64 a) 1) 1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(pow.f64 (exp.f64 1) (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))) (sqrt.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 2)) (cbrt.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
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 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (+.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 1/2 (*.f64 a (*.f64 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 (+.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))))
(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 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 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 (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))))))
(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))))) (+.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 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.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)))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) -1/2)))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 -1/2 (*.f64 a a)))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.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))))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.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))))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) -1/2))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 -1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 -1/2 (*.f64 a a))))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(+.f64 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (-.f64 a (log1p.f64 (exp.f64 a))))
(-.f64 (+.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 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (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 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (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 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a)))
(-.f64 (+.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 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 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (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 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))))) (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log1p.f64 (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 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))))) (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log1p.f64 (exp.f64 a)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))
(fma.f64 (*.f64 a a) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 -1/6 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))))
(fma.f64 (*.f64 a a) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (fma.f64 (pow.f64 a 3) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (fma.f64 -1/6 (+.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 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))))
(fma.f64 (*.f64 a a) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/2))) (fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (fma.f64 (pow.f64 a 3) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (fma.f64 -1/6 (+.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 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a)))))
(+.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (neg.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 (+.f64 1 (exp.f64 a)) b))))
(+.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (neg.f64 (*.f64 (/.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (+.f64 1 (exp.f64 a))) b)))
(+.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (+.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) (*.f64 (+.f64 (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))) b) (+.f64 1 (exp.f64 a))))))
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(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (exp.f64 a))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (exp.f64 a))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (*.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)))
(/.f64 (*.f64 (/.f64 (exp.f64 a) 1) 1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (*.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))
(/.f64 (*.f64 (neg.f64 (exp.f64 a)) 1) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 (neg.f64 (exp.f64 b)) (exp.f64 a)))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (exp.f64 a)))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (cbrt.f64 (exp.f64 a)) (/.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 2)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 2))
(/.f64 (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)))
(*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (*.f64 (exp.f64 a) (+.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) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))
(/.f64 (*.f64 1 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(/.f64 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(/.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (sqrt.f64 (exp.f64 a))))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(/.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) 1) 1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (*.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (exp.f64 a) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))))
(/.f64 (exp.f64 a) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (/.f64 (exp.f64 a) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (exp.f64 a) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (exp.f64 1) (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(pow.f64 (E.f64) (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b)))))) (sqrt.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))) 2)) (cbrt.f64 (-.f64 a (log1p.f64 (+.f64 (exp.f64 a) (expm1.f64 b))))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.03%
(+.f64 1 (exp.f64 b))
✓0.03%
(/.f64 1 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite60.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1564×add-sqr-sqrt
1544×*-un-lft-identity
1440×add-cube-cbrt
1426×add-cbrt-cube
1410×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116328
2198428
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.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 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.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 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (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 (exp.f64 (+.f64 b b))) (/.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 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.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 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 /.f64 (-.f64 (exp.f64 (+.f64 b b)) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (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 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 exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1))))) (#(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 (cbrt.f64 (exp.f64 (+.f64 b b))) (cbrt.f64 (exp.f64 b)) 1)))))

simplify65.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1544×distribute-lft-in
1474×distribute-rgt-in
1066×unswap-sqr
580×associate-/r*
572×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01521762
13651576
213541274
354491274
Stop Event
1×node limit
Counts
68 → 103
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
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 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (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 (exp.f64 (+.f64 b b))) (/.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 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 (+.f64 1 (exp.f64 b)) 1)
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.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 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) -1)
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 b b)))) (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)))))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) 1) (expm1.f64 b))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (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)
(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)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1))
(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 (cbrt.f64 (exp.f64 (+.f64 b b))) (cbrt.f64 (exp.f64 b)) 1)
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/48 (pow.f64 b 3)))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.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 b 2) (*.f64 1/2 (*.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 (pow.f64 b 3) 1/6 2))
(+.f64 2 (fma.f64 (pow.f64 b 3) 1/6 (fma.f64 1/2 (*.f64 b b) b)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2)) (cbrt.f64 (+.f64 2 (expm1.f64 b))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 b)) -2)) (cbrt.f64 (+.f64 2 (expm1.f64 b))))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 -1 (-.f64 -2 (expm1.f64 b)))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 (+.f64 b b)))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 2) b)))
(/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) 1) (+.f64 1 (pow.f64 (exp.f64 b) 3)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.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 2 (expm1.f64 b))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.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 2 (expm1.f64 b))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.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 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 2 (expm1.f64 b))
(*.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b 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 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (exp.f64 (+.f64 b b)))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.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 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (sqrt.f64 (+.f64 2 (expm1.f64 b))) (pow.f64 (+.f64 2 (expm1.f64 b)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.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 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 (exp.f64 (+.f64 b b)) (-.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 -1 (neg.f64 (exp.f64 b))) -1)
(/.f64 (-.f64 -1 (exp.f64 b)) -1)
(-.f64 1 (/.f64 (exp.f64 b) -1))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 b b)))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.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))
(/.f64 (-.f64 (exp.f64 (+.f64 b b)) 1) (expm1.f64 b))
(/.f64 (-.f64 1 (exp.f64 (+.f64 b b))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) b)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.f64 (exp.f64 b) -1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (+.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 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 2 (expm1.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 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 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 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 2 (expm1.f64 b))
(exp.f64 (log1p.f64 (exp.f64 b)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1))
(exp.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 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 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 2 (expm1.f64 b))
(fma.f64 (cbrt.f64 (exp.f64 (+.f64 b b))) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 2) b)) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (exp.f64 b)) 1)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.01%
(+.f64 1 (exp.f64 a))
✓0.78%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite60.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1706×add-sqr-sqrt
1690×*-un-lft-identity
1576×add-cube-cbrt
1558×add-cbrt-cube
162×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0832
116330
2209730
Stop Event
1×node limit
Counts
2 → 66
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))))

simplify67.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
996×associate-+r+
848×associate-+l+
782×unswap-sqr
606×associate-/l*
532×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01731806
14121540
216171452
357241452
Stop Event
1×node limit
Counts
74 → 97
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1)
(*.f64 (exp.f64 a) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (exp.f64 a))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.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 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (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)
(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 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(exp.f64 (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))
(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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a))))
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) (*.f64 1/480 (pow.f64 a 5)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 a (*.f64 1/2 a) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 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 2 (fma.f64 1/2 (*.f64 a a) (fma.f64 (pow.f64 a 3) 1/6 a)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 a) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 a)))) (exp.f64 a))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 -1 (exp.f64 a)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (exp.f64 a) (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(*.f64 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)))
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 -1 (exp.f64 a)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 1)
(+.f64 (exp.f64 a) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(*.f64 1 (+.f64 (exp.f64 a) 1))
(+.f64 (exp.f64 a) 1)
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 (exp.f64 a) 1)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(+.f64 (exp.f64 a) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.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 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 (exp.f64 a) 1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(+.f64 (exp.f64 a) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(+.f64 (exp.f64 a) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(+.f64 (exp.f64 a) 1)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(+.f64 (exp.f64 a) 1)
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))
(+.f64 (exp.f64 a) 1)
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(+.f64 (exp.f64 a) 1)
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(exp.f64 (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 (exp.f64 a) 1)
(fma.f64 1 (exp.f64 a) 1)
(+.f64 (exp.f64 a) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(+.f64 (exp.f64 a) 1)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.02%
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
✓0.28%
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
1.17%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 40 to 8 computations (80% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
b
@0
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
1.0ms
a
@0
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.0ms
a
@0
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0ms
b
@0
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0ms
a
@inf
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite88.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
964×*-commutative
964×associate-*r/
794×associate-/r*
684×associate-*l/
614×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
122454
2275854
Stop Event
1×node limit
Counts
2 → 192
Calls
Call 1
Inputs
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
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log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))

simplify159.0ms (2%)

Algorithm
1×egg-herbie
Rules
1248×associate-+r+
1024×+-commutative
774×associate-/l*
616×associate-*r*
566×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058013444
1157112890
2672012890
Stop Event
1×node limit
Counts
240 → 319
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(-.f64 (+.f64 (*.f64 a (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 a 2) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 a (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 a 2) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 a (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 3)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (*.f64 (pow.f64 a 3) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))))))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 -1/6 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 6))))) (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))))))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
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(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
(-.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(-.f64 (+.f64 (*.f64 a (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(+.f64 (*.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (+.f64 (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) 1) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) -1)
(+.f64 (*.f64 (+.f64 1 (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) -1)
(-.f64 (+.f64 (*.f64 (pow.f64 a 2) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 a (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) 1)
(+.f64 (fma.f64 (*.f64 a a) (*.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (*.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) -1)
(+.f64 (*.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))
(-.f64 (+.f64 (*.f64 (pow.f64 a 2) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 a (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 3)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (*.f64 (pow.f64 a 3) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) 1)
(+.f64 (fma.f64 (*.f64 a a) (*.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (fma.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (*.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (fma.f64 (-.f64 (+.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (fma.f64 1/6 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 3) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))))) (*.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (pow.f64 a 3)) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) -1)
(+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 3) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (-.f64 (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3)) 1) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) -1)
(+.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 3) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (-.f64 (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))) -1)
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) 1)
(expm1.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) 1)
(+.f64 (neg.f64 (/.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b (exp.f64 a))))) (expm1.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(fma.f64 -1 (/.f64 (exp.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) a)) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (expm1.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(fma.f64 -1 (/.f64 (exp.f64 (+.f64 a (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (expm1.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))))))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b (exp.f64 a)))) (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (*.f64 (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 b b)) (fma.f64 -1 (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 (*.f64 1/2 (pow.f64 (exp.f64 a) 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))) -1)
(+.f64 -1 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 b b) (fma.f64 1/2 (/.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)))) 1) (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (/.f64 (exp.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) a)) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))
(+.f64 -1 (-.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 b b) (fma.f64 1/2 (/.f64 (exp.f64 (+.f64 a a)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2))))) (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (/.f64 (exp.f64 (+.f64 a (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))
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(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))))
(/.f64 (exp.f64 a) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (cbrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (exp.f64 a) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 2))
(fabs.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.04%
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
✓0.59%
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
1.17%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 43 to 12 computations (72.1% saved)

series11.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
b
@0
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
3.0ms
a
@0
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
1.0ms
a
@inf
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
1.0ms
b
@inf
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
1.0ms
b
@-inf
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)

rewrite118.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1378×associate-*r/
1036×*-commutative
864×associate-/r*
848×associate-*l/
628×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
125556
2310956
Stop Event
1×node limit
Counts
2 → 362
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (sqrt.f64 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) 1) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 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simplify233.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1530×associate-*l*
1304×associate-/r*
1134×*-commutative
1104×associate-/l/
886×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099827778
1287227420
Stop Event
1×node limit
Counts
410 → 598
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
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(/.f64 (*.f64 (pow.f64 (exp.f64 a) 2) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(/.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 a)) (neg.f64 (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(/.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (/.f64 (*.f64 (exp.f64 a) (neg.f64 (exp.f64 a))) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(/.f64 (*.f64 (*.f64 (exp.f64 a) (neg.f64 (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(/.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))
(/.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (/.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (exp.f64 a))))
(/.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 a)) 2))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))
(/.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(/.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a)))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))))
(/.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 a)) 2))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (exp.f64 a))))
(/.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1)) (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(/.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (sqrt.f64 (exp.f64 a)))) (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))))
(/.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (pow.f64 (cbrt.f64 (exp.f64 a)) 2))) (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (exp.f64 a))))
(/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) 1) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))) (sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
(/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (pow.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) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2))
(/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 3)) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) 1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)) (+.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 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (neg.f64 (exp.f64 a))) 1) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (neg.f64 (exp.f64 a))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (neg.f64 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (neg.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (neg.f64 (exp.f64 a))) (sqrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)))) (sqrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (neg.f64 (exp.f64 a))) (*.f64 (cbrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) (cbrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))) (cbrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (neg.f64 (exp.f64 a))) -1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (neg.f64 (exp.f64 a))) (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (neg.f64 (exp.f64 a))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))
(exp.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (neg.f64 (exp.f64 a)) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (neg.f64 (exp.f64 a)) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1 (exp.f64 a))) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
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(/.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 a)) 3) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 2)) (*.f64 (cbrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) (*.f64 (cbrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))) (cbrt.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (neg.f64 (exp.f64 a))) -1) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (neg.f64 (exp.f64 a))) (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 2) (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 (exp.f64 a)))) (neg.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 a)) 3) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 2)) (*.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (neg.f64 (exp.f64 a))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 2) (neg.f64 (exp.f64 a))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (/.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 a)) 3) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 2)) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 6))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 3))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)
(exp.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (exp.f64 3) (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3)

eval934.0ms (11.6%)

Compiler

Compiled 63314 to 25964 computations (59% saved)

prune837.0ms (10.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New228582293
Fresh000
Picked101
Done314
Total228992298
Error
0.32%
Counts
2298 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
21.49%
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
▶46.99%
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
▶59.58%
(/.f64 1 (+.f64 b 2))
✓20.9%
(/.f64 1 (+.f64 1 (exp.f64 b)))
▶58.38%
(+.f64 1/2 (*.f64 1/4 a))
▶59.31%
(+.f64 1/2 (*.f64 -1/4 b))
▶20.88%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
49.96%
(exp.f64 a)
58.22%
1/2
Compiler

Compiled 121 to 102 computations (15.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.02%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓0.02%
(log1p.f64 (exp.f64 b))
Compiler

Compiled 17 to 6 computations (64.7% saved)

series28.0ms (0.3%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
14.0ms
b
@-inf
(log1p.f64 (exp.f64 b))
13.0ms
b
@inf
(log1p.f64 (exp.f64 b))
0.0ms
b
@0
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
0.0ms
b
@0
(log1p.f64 (exp.f64 b))
0.0ms
b
@-inf
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))

rewrite64.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1042×add-sqr-sqrt
1030×*-un-lft-identity
976×pow1
954×add-cube-cbrt
942×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0726
113620
2159220
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 b))
(exp.f64 (neg.f64 (log1p.f64 (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 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (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 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (neg.f64 (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 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (neg.f64 (cbrt.f64 (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 (*.f64 -1 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (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 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.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 0 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 0 (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 neg.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 b) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 b) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (sqrt.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 b) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 (exp.f64 b) 1)))))) (#(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 (pow.f64 (exp.f64 b) 2) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 b) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (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 -1) (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 (exp.f64 b) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 b) 1)))))))

simplify65.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1056×associate-/l*
804×unswap-sqr
720×fma-def
586×associate-/r*
520×associate--l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01511229
13621093
215651063
365831063
Stop Event
1×node limit
Counts
81 → 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)))))
(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)))
(exp.f64 (neg.f64 (log.f64 2)))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2)))))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 b 5) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(-.f64 0 (log1p.f64 (exp.f64 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(*.f64 (log1p.f64 (exp.f64 b)) -1)
(*.f64 1 (log1p.f64 (exp.f64 b)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (neg.f64 (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 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(*.f64 -1 (log1p.f64 (exp.f64 b)))
(*.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (log1p.f64 (exp.f64 b)))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 0 (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)
(neg.f64 (log1p.f64 (exp.f64 b)))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log.f64 (+.f64 (exp.f64 b) 1))
(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))))
(+.f64 (exp.f64 b) 1)
(+.f64 1 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 (exp.f64 b) 1)) 1)
(*.f64 (+.f64 (exp.f64 b) 1) 1)
(*.f64 1 (+.f64 (exp.f64 b) 1))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (sqrt.f64 (+.f64 (exp.f64 b) 1)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 b) 1)))
(/.f64 1 (+.f64 (exp.f64 b) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 b) 1) 1))
(/.f64 -1 (neg.f64 (+.f64 (exp.f64 b) 1)))
(/.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 (pow.f64 (exp.f64 b) 2) (exp.f64 b))))
(pow.f64 (+.f64 (exp.f64 b) 1) 1)
(pow.f64 (+.f64 (exp.f64 b) 1) -1)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3) 1/3)
(pow.f64 (exp.f64 1) (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 -1) (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 (exp.f64 b) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
(log1p.f64 (expm1.f64 (+.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))
(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 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 b 1/2 (fma.f64 b (*.f64 b 1/8) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (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 b 1/2 (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 b (*.f64 b 1/8) (fma.f64 b 1/2 (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 (neg.f64 (log.f64 2)))
1/2
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))
(fma.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2)))) (exp.f64 (neg.f64 (log.f64 2))))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 1/2)
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2)))))
(fma.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2)))) (fma.f64 1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 3)) (exp.f64 (neg.f64 (log.f64 2)))))
(+.f64 1/2 (+.f64 (*.f64 b -1/4) (*.f64 (pow.f64 b 3) 1/48)))
(fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 1/2))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 b 5) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))))
(fma.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2)))) (fma.f64 1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 3)) (fma.f64 -1/240 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 5)) (exp.f64 (neg.f64 (log.f64 2))))))
(+.f64 (*.f64 b -1/4) (+.f64 1/2 (+.f64 (*.f64 (pow.f64 b 3) 1/48) (*.f64 (pow.f64 b 5) -1/480))))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 (fma.f64 (pow.f64 b 5) -1/480 1/2)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 0 (log1p.f64 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1))))
(log1p.f64 (exp.f64 b))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1))))
(log1p.f64 (exp.f64 b))
(-.f64 0 (log1p.f64 (exp.f64 b)))
(neg.f64 (log1p.f64 (exp.f64 b)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) 1)
(log1p.f64 (exp.f64 b))
(*.f64 (log1p.f64 (exp.f64 b)) -1)
(neg.f64 (log1p.f64 (exp.f64 b)))
(*.f64 1 (log1p.f64 (exp.f64 b)))
(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 (sqrt.f64 (log1p.f64 (exp.f64 b))) (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))
(neg.f64 (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 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(*.f64 -1 (log1p.f64 (exp.f64 b)))
(neg.f64 (log1p.f64 (exp.f64 b)))
(*.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (log1p.f64 (exp.f64 b)))
(neg.f64 (log1p.f64 (exp.f64 b)))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 0 (log1p.f64 (exp.f64 b))))))
(neg.f64 (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))
(neg.f64 (log1p.f64 (exp.f64 b)))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 (exp.f64 b) 1))
(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))
(+.f64 (exp.f64 b) 1)
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(-.f64 (+.f64 1 (+.f64 (exp.f64 b) 1)) 1)
(+.f64 1 (exp.f64 b))
(*.f64 (+.f64 (exp.f64 b) 1) 1)
(+.f64 1 (exp.f64 b))
(*.f64 1 (+.f64 (exp.f64 b) 1))
(+.f64 1 (exp.f64 b))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (sqrt.f64 (+.f64 (exp.f64 b) 1)))
(+.f64 1 (exp.f64 b))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2))
(+.f64 1 (exp.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 b) 1)))
(+.f64 1 (exp.f64 b))
(/.f64 1 (+.f64 (exp.f64 b) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 b) 1) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 -1 (neg.f64 (+.f64 (exp.f64 b) 1)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.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 (pow.f64 (exp.f64 b) 2) (exp.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 1 (pow.f64 (exp.f64 b) 3)) (-.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)))
(pow.f64 (+.f64 (exp.f64 b) 1) 1)
(+.f64 1 (exp.f64 b))
(pow.f64 (+.f64 (exp.f64 b) 1) -1)
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) 2)
(+.f64 1 (exp.f64 b))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 3)
(+.f64 1 (exp.f64 b))
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3) 1/3)
(+.f64 1 (exp.f64 b))
(pow.f64 (exp.f64 1) (log1p.f64 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))
(+.f64 1 (exp.f64 b))
(pow.f64 (exp.f64 -1) (log1p.f64 (exp.f64 b)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 -1 (-.f64 -1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))
(+.f64 1 (exp.f64 b))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2))
(+.f64 1 (exp.f64 b))
(log.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))
(+.f64 1 (exp.f64 b))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3))
(+.f64 1 (exp.f64 b))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
(+.f64 1 (exp.f64 b))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 b) 1)))
(+.f64 1 (exp.f64 b))

localize5.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize6.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.01%
(/.f64 1 (+.f64 b 2))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1446×add-sqr-sqrt
1420×*-un-lft-identity
1336×add-cube-cbrt
1326×add-cbrt-cube
1314×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115013
2180513
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(/.f64 1 (+.f64 b 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))))))

simplify53.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1522×associate-/l*
1310×associate-/r*
984×associate-*r*
794×associate-*l*
718×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0971008
1241886
2779766
33186760
Stop Event
1×node limit
Counts
36 → 63
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (/.f64 1 (+.f64 b 2))))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 b) -2)))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))
(pow.f64 (+.f64 b 2) -1)
(pow.f64 (/.f64 1 (+.f64 b 2)) 1)
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 b 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 b 2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/8 (*.f64 b b))))
(fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 1/2))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/8 (*.f64 b b)))))
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 1/2)))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -8 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 1 b) (+.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -8 (pow.f64 b 4)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (/.f64 1 (+.f64 b 2))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 b) -2)))
(/.f64 -1 (+.f64 -2 (neg.f64 b)))
(/.f64 -1 (-.f64 -2 b))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(/.f64 (+.f64 b -2) (fma.f64 b b -4))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (fma.f64 b b (-.f64 4 (*.f64 b 2))))
(/.f64 (fma.f64 b b (+.f64 4 (*.f64 b -2))) (+.f64 (pow.f64 b 3) 8))
(/.f64 (fma.f64 b b (fma.f64 b -2 4)) (+.f64 (pow.f64 b 3) 8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))
(pow.f64 (sqrt.f64 (+.f64 b 2)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)) (cbrt.f64 (+.f64 b 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) -2) (cbrt.f64 (+.f64 b 2)))
(pow.f64 (+.f64 b 2) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(pow.f64 (/.f64 1 (+.f64 b 2)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(sqrt.f64 (pow.f64 (+.f64 b 2) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(exp.f64 (*.f64 (log.f64 (+.f64 b 2)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b 2))) 1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.01%
(*.f64 1/2 (*.f64 b b))
✓0.03%
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))
✓0.73%
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
Compiler

Compiled 37 to 22 computations (40.5% saved)

series28.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
26.0ms
b
@inf
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))
0.0ms
b
@inf
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
0.0ms
b
@inf
(*.f64 1/2 (*.f64 b b))
0.0ms
b
@0
(*.f64 1/2 (*.f64 b b))
0.0ms
b
@0
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))

rewrite130.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1202×associate-*r/
1032×*-commutative
964×associate-*l/
836×distribute-lft-in
390×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01169
124461
2319561
Stop Event
1×node limit
Counts
3 → 214
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))
(*.f64 1/2 (*.f64 b b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b (*.f64 b 1/2))) 1 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b b)) 1/2 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 -1/2 (*.f64 b b) (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b (sqrt.f64 1/2))) (*.f64 b (sqrt.f64 1/2)) (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))) (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 b) (*.f64 b 1/2) (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) b) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (-.f64 2 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) 2) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (-.f64 b (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (neg.f64 (*.f64 b (*.f64 b 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 (*.f64 b (*.f64 b 1/2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 (*.f64 b b) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 1/2 (neg.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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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 (pow.f64 (*.f64 b b) 3) 1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))))) (#(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 (pow.f64 (*.f64 b b) 3) 1/8))))) (#(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 log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))))

simplify223.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1266×associate-+r+
1116×+-commutative
790×associate-*r*
592×*-commutative
586×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056915430
1165113936
2741213936
Stop Event
1×node limit
Counts
250 → 367
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/32 (pow.f64 b 4)) (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))))
(/.f64 2 (pow.f64 b 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 b 6))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))))
(/.f64 2 (pow.f64 b 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 b 6))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.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 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.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 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b (*.f64 b 1/2))) 1 (*.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b b)) 1/2 (*.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 -1/2 (*.f64 b b) (*.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (*.f64 b (sqrt.f64 1/2))) (*.f64 b (sqrt.f64 1/2)) (*.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2)))) (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (*.f64 b (*.f64 b 1/2)))))
(+.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (fma.f64 (neg.f64 b) (*.f64 b 1/2) (*.f64 b (*.f64 b 1/2)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) b) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (-.f64 2 (*.f64 b (*.f64 b 1/2)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) 2) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (-.f64 b (*.f64 b (*.f64 b 1/2)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (neg.f64 (*.f64 b (*.f64 b 1/2)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 (*.f64 b (*.f64 b 1/2)) -1)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 (*.f64 b b) -1/2)))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 1/2 (neg.f64 (*.f64 b b)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 (*.f64 b (sqrt.f64 1/2)) (neg.f64 (*.f64 b (sqrt.f64 1/2))))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4))))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (*.f64 b (neg.f64 (*.f64 b 1/2)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (pow.f64 (+.f64 b 2) 2)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (pow.f64 (+.f64 b 2) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(*.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 1)
(*.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2) (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(*.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))) (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))))
(*.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))))
(*.f64 -1 (/.f64 -1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(*.f64 (/.f64 -1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1)
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))) (neg.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))) (neg.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(*.f64 (/.f64 1 (-.f64 (*.f64 b b) (*.f64 (+.f64 2 (*.f64 b (*.f64 b 1/2))) (+.f64 2 (*.f64 b (*.f64 b 1/2)))))) (-.f64 (+.f64 b -2) (*.f64 b (*.f64 b 1/2))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2))) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 (*.f64 b (*.f64 b 1/2))) 3))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (+.f64 2 (*.f64 b (*.f64 b 1/2))) (+.f64 2 (*.f64 b (*.f64 b 1/2)))) (*.f64 b (+.f64 2 (*.f64 b (*.f64 b 1/2)))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2) (sqrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))) (sqrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))) (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))) (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))) (-.f64 (*.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 3)) (*.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))) (-.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))) (+.f64 (pow.f64 (pow.f64 (+.f64 b 2) 3) 3) (pow.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 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 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))))
(*.f64 (/.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))) (-.f64 (*.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (*.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 4) 1/4)))) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(*.f64 (/.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))) (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) 2) 3) (pow.f64 (*.f64 (pow.f64 b 4) 1/4) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (+.f64 (*.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 4) 1/4)) (*.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1)
(pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3)) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
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(/.f64 (*.f64 1 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 (*.f64 b (*.f64 b 1/2))) 3))) (+.f64 (*.f64 b b) (-.f64 (*.f64 (+.f64 2 (*.f64 b (*.f64 b 1/2))) (+.f64 2 (*.f64 b (*.f64 b 1/2)))) (*.f64 b (+.f64 2 (*.f64 b (*.f64 b 1/2)))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))) (sqrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))) (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) 1) (neg.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) 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 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (*.f64 (+.f64 2 (*.f64 b (*.f64 b 1/2))) (+.f64 2 (*.f64 b (*.f64 b 1/2))))) 1) (-.f64 (+.f64 b -2) (*.f64 b (*.f64 b 1/2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)) 1) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 2 (*.f64 b (*.f64 b 1/2))) 3)) 1) (+.f64 (*.f64 b b) (-.f64 (*.f64 (+.f64 2 (*.f64 b (*.f64 b 1/2))) (+.f64 2 (*.f64 b (*.f64 b 1/2)))) (*.f64 b (+.f64 2 (*.f64 b (*.f64 b 1/2)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))) (sqrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2)) (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (*.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 4) 1/4))) (/.f64 1 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 b 2) 2) 3) (pow.f64 (*.f64 (pow.f64 b 4) 1/4) 3)) (/.f64 1 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))) (+.f64 (*.f64 (pow.f64 (+.f64 b 2) 2) (pow.f64 (+.f64 b 2) 2)) (+.f64 (*.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 4) 1/4)) (*.f64 (*.f64 (pow.f64 b 4) 1/4) (pow.f64 (+.f64 b 2) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 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 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))) (-.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 b 2) 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 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))) (+.f64 (*.f64 (pow.f64 (+.f64 b 2) 3) (pow.f64 (+.f64 b 2) 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 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))))
(/.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)) (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2))) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)))) (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)))) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1)) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) -1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) -1))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 1) (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) (sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2))) (sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) 1) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)) (sqrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))) (sqrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)) (*.f64 (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))) (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))) (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)) (+.f64 (*.f64 b (sqrt.f64 1/2)) (sqrt.f64 (+.f64 b 2)))) (-.f64 (sqrt.f64 (+.f64 b 2)) (*.f64 b (sqrt.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) 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 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(fma.f64 1 b (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(fma.f64 1 (+.f64 b 2) (*.f64 b (*.f64 b 1/2)))
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2))
(fma.f64 1/2 (*.f64 b b) (+.f64 b 2))
(fma.f64 (*.f64 b b) 1/2 (+.f64 b 2))
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 b 2))
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (+.f64 b 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) (cbrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(fma.f64 (*.f64 b 1/2) b (+.f64 b 2))
(-.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 (pow.f64 (*.f64 b b) 3) 1/8) 1/3)
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(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 (pow.f64 (*.f64 b b) 3) 1/8))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))
(exp.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/16 (pow.f64 b 3)))
(+.f64 1/2 (+.f64 (*.f64 -1/32 (pow.f64 b 4)) (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/32 (pow.f64 b 4) (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(+.f64 (fma.f64 -1/4 b 1/2) (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 b 6))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 (/.f64 2 b) b) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 b 6))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(+.f64 (/.f64 (/.f64 2 b) b) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
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(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))) (*.f64 (fma.f64 b (sqrt.f64 1/2) (sqrt.f64 (+.f64 b 2))) (-.f64 (sqrt.f64 (+.f64 b 2)) (*.f64 b (sqrt.f64 1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2))))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 b 6) 1/8)) (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 1/2 b)))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 b 2) 3)) (+.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (*.f64 (*.f64 b (*.f64 b -1/2)) (+.f64 b 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 b 2) 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 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 b 1/2)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) 3) (*.f64 (pow.f64 b 6) 1/8)) (-.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (*.f64 b (*.f64 (+.f64 b 2) (*.f64 1/2 b)))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 b 2) 3)) (+.f64 (fma.f64 (pow.f64 b 4) 1/4 (pow.f64 (+.f64 b 2) 2)) (*.f64 (*.f64 b (*.f64 b -1/2)) (+.f64 b 2))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 1)
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))) 3)
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3) 1/3)
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 2))
(fabs.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2)) 3))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) (+.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 1 b (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 1 (+.f64 b 2) (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 1/2 (*.f64 b b) (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (*.f64 b b) 1/2 (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 b 2))
(+.f64 (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2) (+.f64 b 2))
(+.f64 (+.f64 b 2) (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2))
(+.f64 b (+.f64 2 (pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)))
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (+.f64 b 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 b b))) (+.f64 b 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) (cbrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 2 (*.f64 b (*.f64 b 1/2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (*.f64 b 1/2) b (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2)))) 1)
(*.f64 1/2 (*.f64 b b))
(pow.f64 (*.f64 b (*.f64 b 1/2)) 1)
(*.f64 1/2 (*.f64 b b))
(pow.f64 (*.f64 b (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) 3)
(*.f64 1/2 (*.f64 b b))
(pow.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 b 6) 1/8))
(sqrt.f64 (*.f64 (pow.f64 b 4) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 b b)))
(*.f64 1/2 (*.f64 b b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))))
(*.f64 1/2 (*.f64 b b))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 b 6) 1/8))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 1/2 (*.f64 b b))
(exp.f64 (log.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 1/2 (*.f64 b b))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 1/2))))
(*.f64 1/2 (*.f64 b b))

eval375.0ms (4.6%)

Compiler

Compiled 12824 to 9489 computations (26% saved)

prune103.0ms (1.3%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New5129521
Fresh123
Picked101
Done145
Total51515530
Error
0.32%
Counts
530 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.48%
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
▶85.24%
(/.f64 (/.f64 2 b) b)
84.76%
(/.f64 2 (*.f64 b b))
55%
(/.f64 1 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)) (*.f64 (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))) (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))) (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))))
84.13%
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
✓20.9%
(/.f64 1 (+.f64 1 (exp.f64 b)))
▶96.35%
(/.f64 1 b)
▶37.29%
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
77.2%
(+.f64 (exp.f64 b) 1)
✓58.38%
(+.f64 1/2 (*.f64 1/4 a))
✓59.31%
(+.f64 1/2 (*.f64 -1/4 b))
77.2%
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
✓20.88%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
▶49.96%
(exp.f64 a)
58.22%
1/2
Compiler

Compiled 264 to 212 computations (19.7% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(/.f64 1 (+.f64 b 2))
✓0.02%
(+.f64 1 (/.f64 1 (+.f64 b 2)))
✓2.66%
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite90.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1346×associate-*l/
766×*-commutative
688×distribute-lft-in
650×distribute-rgt-in
492×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0944
121032
2289732
Stop Event
1×node limit
Counts
2 → 222
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(+.f64 1 (/.f64 1 (+.f64 b 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 b b -4)) b) (*.f64 (/.f64 1 (fma.f64 b b -4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b)) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2))) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 1 (fma.f64 b b -4))) (*.f64 -2 (/.f64 1 (fma.f64 b b -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b -2) (/.f64 1 (fma.f64 b b -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (/.f64 1 (+.f64 8 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 b 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b (+.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1) (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2))))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 (pow.f64 (+.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))) 1)))))

simplify162.0ms (2%)

Algorithm
1×egg-herbie
Rules
954×associate-+r-
894×associate-+l-
740×distribute-lft-in
656×distribute-rgt-in
578×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063912918
1183112130
2692912130
Stop Event
1×node limit
Counts
246 → 399
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
3/2
(+.f64 3/2 (*.f64 -1/4 b))
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)
(+.f64 0 (/.f64 1 (+.f64 b 2)))
(+.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1)
(+.f64 -1 (+.f64 1 (/.f64 1 (+.f64 b 2))))
(+.f64 (*.f64 (/.f64 1 (fma.f64 b b -4)) b) (*.f64 (/.f64 1 (fma.f64 b b -4)) -2))
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b)) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2))))
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2))) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b)))
(+.f64 (*.f64 b (/.f64 1 (fma.f64 b b -4))) (*.f64 -2 (/.f64 1 (fma.f64 b b -4))))
(+.f64 (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3)))))
(+.f64 (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3)))))
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(*.f64 (+.f64 b -2) (/.f64 1 (fma.f64 b b -4)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2)))))
(*.f64 -1 (/.f64 -1 (+.f64 b 2)))
(*.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (/.f64 1 (+.f64 8 (pow.f64 b 3))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2))))))
(*.f64 (/.f64 -1 (+.f64 b 2)) -1)
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b (+.f64 b -2))))
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1))
(*.f64 (-.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1) (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))))
(*.f64 (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2))))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)) (/.f64 1 (+.f64 b 2)))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 b b -4))) (neg.f64 (+.f64 b -2)))
(*.f64 (/.f64 1 (+.f64 -8 (neg.f64 (pow.f64 b 3)))) (neg.f64 (+.f64 4 (*.f64 b (+.f64 b -2)))))
(*.f64 (/.f64 1 (-.f64 4 (*.f64 b b))) (-.f64 2 b))
(*.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (+.f64 8 (pow.f64 b 3)))) (sqrt.f64 (+.f64 4 (*.f64 b (+.f64 b -2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (fma.f64 b b -4))) (sqrt.f64 (+.f64 b -2)))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (-.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2))) (-.f64 0 (/.f64 1 (+.f64 b 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (pow.f64 (+.f64 b 2) -2)))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 b b -4))) (+.f64 b -2))
(*.f64 (/.f64 -1 (+.f64 -8 (neg.f64 (pow.f64 b 3)))) (+.f64 4 (*.f64 b (+.f64 b -2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) (*.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (+.f64 2 (/.f64 1 (+.f64 b 2)))))) (-.f64 (+.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2)) 1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) 3) (pow.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) (*.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (-.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 8 (pow.f64 b 3)))) (cbrt.f64 (+.f64 4 (*.f64 b (+.f64 b -2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (fma.f64 b b -4))) (cbrt.f64 (+.f64 b -2)))
(*.f64 (/.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (-.f64 (*.f64 (pow.f64 b 3) (pow.f64 b 3)) 64)) (-.f64 (pow.f64 b 3) 8))
(*.f64 (/.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (+.f64 512 (pow.f64 (pow.f64 b 3) 3))) (+.f64 (*.f64 (pow.f64 b 3) (pow.f64 b 3)) (-.f64 64 (*.f64 8 (pow.f64 b 3)))))
(*.f64 (/.f64 (+.f64 b -2) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) 16)) (+.f64 4 (*.f64 b b)))
(*.f64 (/.f64 (+.f64 b -2) (-.f64 (pow.f64 (*.f64 b b) 3) 64)) (+.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) 16) (*.f64 4 (*.f64 b b))))
(/.f64 1 (+.f64 b 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))))
(/.f64 (/.f64 1 (+.f64 b 2)) 1)
(/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (+.f64 b 2)))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (pow.f64 (cbrt.f64 (+.f64 b 2)) 2))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (/.f64 (sqrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2)))
(/.f64 (fma.f64 b b -4) (*.f64 (+.f64 b 2) (fma.f64 b b -4)))
(/.f64 (+.f64 b -2) (fma.f64 b b -4))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 2 (/.f64 1 (+.f64 b 2))))
(/.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (/.f64 (+.f64 2 (/.f64 1 (+.f64 b 2))) (/.f64 1 (+.f64 b 2))))
(/.f64 -1 (-.f64 -2 b))
(/.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (+.f64 8 (pow.f64 b 3)))
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(*.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))
(*.f64 (/.f64 1 (+.f64 1 (/.f64 -1 (+.f64 b 2)))) (-.f64 1 (pow.f64 (+.f64 b 2) -2)))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))) (+.f64 1 (pow.f64 (+.f64 b 2) -3)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (+.f64 1 (/.f64 1 (+.f64 b 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (-.f64 (pow.f64 (+.f64 b 2) -2) 1)) (+.f64 1 (/.f64 1 (+.f64 b 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (-.f64 1 (pow.f64 (+.f64 b 2) -3))) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (pow.f64 (+.f64 b 2) -2)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (-.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))) (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (+.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (+.f64 b 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (pow.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))) 3))) (+.f64 1 (*.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))) (-.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))) 1))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (-.f64 (pow.f64 (+.f64 b 2) -3) 1)) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (pow.f64 (+.f64 b 2) -2)))
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))) 1))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (/.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)))) (/.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (pow.f64 (+.f64 b 2) -3))) (*.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))) (-.f64 1 (pow.f64 (+.f64 b 2) -3))))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2))) (*.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3)) (*.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (-.f64 (pow.f64 (+.f64 b 2) -3) 1)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3)) (*.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -2) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (+.f64 -1 (neg.f64 (/.f64 -1 (+.f64 b 2)))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 b 2) -3))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) 1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) 1) (+.f64 -1 (neg.f64 (/.f64 -1 (+.f64 b 2)))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 b 2) -3))) 1) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2))) (/.f64 1 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3)) (/.f64 1 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -2) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (pow.f64 (+.f64 b 2) -3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (-.f64 1 (pow.f64 (+.f64 b 2) -3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (-.f64 (pow.f64 (+.f64 b 2) -3) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) 1) (+.f64 1 (/.f64 -1 (+.f64 b 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) 1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))))) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) 1) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (-.f64 (pow.f64 (+.f64 b 2) -1/2) 1))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 1 (+.f64 b 2)))))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(fma.f64 1 (/.f64 1 (+.f64 b 2)) 1)
(fma.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))) 1)
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 b (*.f64 b 1/8)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 (fma.f64 -1/4 b 1/2) (*.f64 b (*.f64 b 1/8))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 2 b) b)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 2 b) b)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4)))))
3/2
(+.f64 3/2 (*.f64 -1/4 b))
(+.f64 (*.f64 -1/4 b) 3/2)
(fma.f64 -1/4 b 3/2)
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)) 3/2)
(+.f64 (*.f64 b (*.f64 b 1/8)) (fma.f64 -1/4 b 3/2))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)) 3/2))
(+.f64 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))) (fma.f64 -1/16 (pow.f64 b 3) 3/2))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3)))) (/.f64 2 (*.f64 b b)))
(+.f64 (+.f64 1 (/.f64 1 b)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 2 b) b)))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3)))) (/.f64 2 (*.f64 b b)))
(+.f64 (+.f64 1 (/.f64 1 b)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 2 b) b)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 1 (+.f64 b 2))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)
(/.f64 1 (+.f64 b 2))
(+.f64 0 (/.f64 1 (+.f64 b 2)))
(/.f64 1 (+.f64 b 2))
(+.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1)
(/.f64 1 (+.f64 b 2))
(+.f64 -1 (+.f64 1 (/.f64 1 (+.f64 b 2))))
(/.f64 1 (+.f64 b 2))
(+.f64 (*.f64 (/.f64 1 (fma.f64 b b -4)) b) (*.f64 (/.f64 1 (fma.f64 b b -4)) -2))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(/.f64 (+.f64 b -2) (fma.f64 b b -4))
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b)) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (+.f64 (+.f64 4 (*.f64 b -2)) (*.f64 b b)))
(/.f64 (fma.f64 b (+.f64 b -2) 4) (+.f64 (pow.f64 b 3) 8))
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b -2))) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (*.f64 b b)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (+.f64 (+.f64 4 (*.f64 b -2)) (*.f64 b b)))
(/.f64 (fma.f64 b (+.f64 b -2) 4) (+.f64 (pow.f64 b 3) 8))
(+.f64 (*.f64 b (/.f64 1 (fma.f64 b b -4))) (*.f64 -2 (/.f64 1 (fma.f64 b b -4))))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(/.f64 (+.f64 b -2) (fma.f64 b b -4))
(+.f64 (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (+.f64 (+.f64 4 (*.f64 b -2)) (*.f64 b b)))
(/.f64 (fma.f64 b (+.f64 b -2) 4) (+.f64 (pow.f64 b 3) 8))
(+.f64 (*.f64 (+.f64 4 (*.f64 b -2)) (/.f64 1 (+.f64 8 (pow.f64 b 3)))) (*.f64 (*.f64 b b) (/.f64 1 (+.f64 8 (pow.f64 b 3)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (+.f64 (+.f64 4 (*.f64 b -2)) (*.f64 b b)))
(/.f64 (fma.f64 b (+.f64 b -2) 4) (+.f64 (pow.f64 b 3) 8))
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(/.f64 1 (+.f64 b 2))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(/.f64 1 (+.f64 b 2))
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(/.f64 1 (+.f64 b 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2)))
(*.f64 (+.f64 b -2) (/.f64 1 (fma.f64 b b -4)))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(/.f64 (+.f64 b -2) (fma.f64 b b -4))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2)))))
(/.f64 1 (+.f64 b 2))
(*.f64 -1 (/.f64 -1 (+.f64 b 2)))
(/.f64 1 (+.f64 b 2))
(*.f64 (+.f64 4 (*.f64 b (+.f64 b -2))) (/.f64 1 (+.f64 8 (pow.f64 b 3))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (+.f64 (+.f64 4 (*.f64 b -2)) (*.f64 b b)))
(/.f64 (fma.f64 b (+.f64 b -2) 4) (+.f64 (pow.f64 b 3) 8))
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(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (/.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (cbrt.f64 (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 -1 (+.f64 b 2)))) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 -1 (+.f64 b 2)))) 2))
(/.f64 (*.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2))) (/.f64 1 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))
(/.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 b 2))) (*.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3)) (/.f64 1 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -2) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3)) (*.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -2) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -2) 3)) (*.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (pow.f64 (+.f64 b 2) -4)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (pow.f64 (+.f64 b 2) -3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (-.f64 1 (pow.f64 (+.f64 b 2) -3)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -6)) (*.f64 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2))) (-.f64 1 (pow.f64 (+.f64 b 2) -3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -6)) (-.f64 1 (pow.f64 (+.f64 b 2) -3))) (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (-.f64 (pow.f64 (+.f64 b 2) -3) 1))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3)) (*.f64 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2))) (+.f64 1 (*.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 (pow.f64 (+.f64 b 2) -3) -1)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 b 2) -3) 3)) (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2)))) (fma.f64 (pow.f64 (+.f64 b 2) -3) (+.f64 -1 (pow.f64 (+.f64 b 2) -3)) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) 1) (+.f64 1 (/.f64 -1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) 1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -2)) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2))))) (sqrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))))) (cbrt.f64 (+.f64 1 (/.f64 -1 (+.f64 b 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) 1) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 -1 (+.f64 b 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (/.f64 -1 (+.f64 b 2)) (+.f64 1 (pow.f64 (+.f64 b 2) -2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -2)) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -2)) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (-.f64 (pow.f64 (+.f64 b 2) -1/2) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 b 2) -2) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 b 2) -2)) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(-.f64 1 (/.f64 -1 (+.f64 b 2)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 3)
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(-.f64 1 (/.f64 -1 (+.f64 b 2)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) 1/3)
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(-.f64 1 (/.f64 -1 (+.f64 b 2)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2))
(fabs.f64 (-.f64 1 (/.f64 -1 (+.f64 b 2))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(-.f64 1 (/.f64 -1 (+.f64 b 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))))))
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(-.f64 1 (/.f64 -1 (+.f64 b 2)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(-.f64 1 (/.f64 -1 (+.f64 b 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 1 (+.f64 b 2)))))
(expm1.f64 (log.f64 (-.f64 2 (/.f64 -1 (+.f64 b 2)))))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(-.f64 1 (/.f64 -1 (+.f64 b 2)))
(fma.f64 1 (/.f64 1 (+.f64 b 2)) 1)
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(-.f64 1 (/.f64 -1 (+.f64 b 2)))
(fma.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2) 1)
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(-.f64 1 (/.f64 -1 (+.f64 b 2)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))) 1)
(+.f64 1 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2))))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.21%
(/.f64 (/.f64 2 b) b)
Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
b
@0
(/.f64 (/.f64 2 b) b)
0.0ms
b
@inf
(/.f64 (/.f64 2 b) b)
0.0ms
b
@-inf
(/.f64 (/.f64 2 b) b)

rewrite54.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1378×add-sqr-sqrt
1356×*-un-lft-identity
1274×add-cube-cbrt
1260×add-cbrt-cube
1248×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113213
2171313
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (/.f64 2 b) b)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 b) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 b) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) b) (/.f64 (sqrt.f64 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 b)) (*.f64 (sqrt.f64 (/.f64 2 b)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 2) (cbrt.f64 (/.f64 2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) (*.f64 (cbrt.f64 (/.f64 2 b)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 b) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (/.f64 2 b) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 2 b) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 b)) (/.f64 (/.f64 1 b) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 b)) 1) (/.f64 (sqrt.f64 (/.f64 2 b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 b)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (/.f64 2 b)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (/.f64 2 b)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (/.f64 2 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 b) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 b b))))))))

simplify50.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1518×associate-+r+
1368×associate-+l+
882×distribute-rgt-in
850×distribute-lft-in
736×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097744
1255726
2879726
33763726
Stop Event
1×node limit
Counts
48 → 43
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1)
(*.f64 2 (*.f64 (/.f64 1 b) (/.f64 1 b)))
(*.f64 2 (/.f64 1 (*.f64 b b)))
(*.f64 2 (/.f64 (/.f64 1 b) b))
(*.f64 (/.f64 2 b) (/.f64 1 b))
(*.f64 (/.f64 2 (*.f64 b b)) 1)
(*.f64 1 (/.f64 2 (*.f64 b b)))
(*.f64 (/.f64 (sqrt.f64 2) b) (/.f64 (sqrt.f64 2) b))
(*.f64 (sqrt.f64 (/.f64 2 b)) (*.f64 (sqrt.f64 (/.f64 2 b)) (/.f64 1 b)))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 2) (cbrt.f64 (/.f64 2 (*.f64 b b))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) (*.f64 (cbrt.f64 (/.f64 2 b)) (/.f64 1 b)))
(*.f64 (/.f64 1 b) (/.f64 2 b))
(*.f64 (/.f64 -2 b) (/.f64 1 (neg.f64 b)))
(*.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (/.f64 2 b) (sqrt.f64 b)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 2 b) (cbrt.f64 b)))
(*.f64 (/.f64 2 (sqrt.f64 b)) (/.f64 (/.f64 1 b) (sqrt.f64 b)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 b)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 b)) 1) (/.f64 (sqrt.f64 (/.f64 2 b)) b))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 b)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (/.f64 2 b)) (cbrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 b)) b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (/.f64 2 b)) (sqrt.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 2 (*.f64 b b))))
(pow.f64 (/.f64 2 (*.f64 b b)) 1)
(pow.f64 (/.f64 (sqrt.f64 2) b) 2)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 3)
(pow.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3) 1/3)
(pow.f64 (/.f64 b (/.f64 2 b)) -1)
(neg.f64 (/.f64 (/.f64 2 b) (neg.f64 b)))
(sqrt.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 2))
(log.f64 (exp.f64 (/.f64 2 (*.f64 b b))))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 b b))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 b b))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 b b))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 b b))))
Outputs
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1)
(/.f64 2 (*.f64 b b))
(*.f64 2 (*.f64 (/.f64 1 b) (/.f64 1 b)))
(/.f64 2 (*.f64 b b))
(*.f64 2 (/.f64 1 (*.f64 b b)))
(/.f64 2 (*.f64 b b))
(*.f64 2 (/.f64 (/.f64 1 b) b))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 b) (/.f64 1 b))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 (*.f64 b b)) 1)
(/.f64 2 (*.f64 b b))
(*.f64 1 (/.f64 2 (*.f64 b b)))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 (sqrt.f64 2) b) (/.f64 (sqrt.f64 2) b))
(/.f64 2 (*.f64 b b))
(*.f64 (sqrt.f64 (/.f64 2 b)) (*.f64 (sqrt.f64 (/.f64 2 b)) (/.f64 1 b)))
(/.f64 2 (*.f64 b b))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 2))
(/.f64 2 (*.f64 b b))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 2) (cbrt.f64 (/.f64 2 (*.f64 b b))))
(/.f64 2 (*.f64 b b))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) (*.f64 (cbrt.f64 (/.f64 2 b)) (/.f64 1 b)))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 1 b) (/.f64 2 b))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 -2 b) (/.f64 1 (neg.f64 b)))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (/.f64 2 b) (sqrt.f64 b)))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 2 b) (cbrt.f64 b)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 2 (*.f64 (cbrt.f64 b) b)))
(/.f64 (/.f64 2 (*.f64 b (cbrt.f64 b))) (pow.f64 (cbrt.f64 b) 2))
(/.f64 2 (*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 b (cbrt.f64 b))))
(*.f64 (/.f64 2 (sqrt.f64 b)) (/.f64 (/.f64 1 b) (sqrt.f64 b)))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 b)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 2 (*.f64 (cbrt.f64 b) b)))
(/.f64 (/.f64 2 (*.f64 b (cbrt.f64 b))) (pow.f64 (cbrt.f64 b) 2))
(/.f64 2 (*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 b (cbrt.f64 b))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 b)) 1) (/.f64 (sqrt.f64 (/.f64 2 b)) b))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 b)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (/.f64 2 b)) (cbrt.f64 b)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 2 (*.f64 (cbrt.f64 b) b)))
(/.f64 (/.f64 2 (*.f64 b (cbrt.f64 b))) (pow.f64 (cbrt.f64 b) 2))
(/.f64 2 (*.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 b (cbrt.f64 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 b)) b))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (/.f64 2 b)) (sqrt.f64 b)))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 2 (*.f64 b b))))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) (pow.f64 (cbrt.f64 b) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 2 b)) 2) (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (/.f64 2 (*.f64 b b)))))
(pow.f64 (/.f64 2 (*.f64 b b)) 1)
(/.f64 2 (*.f64 b b))
(pow.f64 (/.f64 (sqrt.f64 2) b) 2)
(/.f64 2 (*.f64 b b))
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 3)
(/.f64 2 (*.f64 b b))
(pow.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3) 1/3)
(/.f64 2 (*.f64 b b))
(pow.f64 (/.f64 b (/.f64 2 b)) -1)
(/.f64 2 (*.f64 b b))
(neg.f64 (/.f64 (/.f64 2 b) (neg.f64 b)))
(/.f64 2 (*.f64 b b))
(sqrt.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 2))
(/.f64 2 (*.f64 b b))
(log.f64 (exp.f64 (/.f64 2 (*.f64 b b))))
(/.f64 2 (*.f64 b b))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3))
(/.f64 2 (*.f64 b b))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 b b))))
(/.f64 2 (*.f64 b b))
(exp.f64 (log.f64 (/.f64 2 (*.f64 b b))))
(/.f64 2 (*.f64 b b))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 b b))) 1))
(/.f64 2 (*.f64 b b))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 b b))))
(/.f64 2 (*.f64 b b))

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.02%
(pow.f64 (+.f64 b 2) -1/2)
✓1.03%
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
Compiler

Compiled 20 to 16 computations (20% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite60.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1674×add-sqr-sqrt
1638×*-un-lft-identity
1546×add-cube-cbrt
1536×add-cbrt-cube
172×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
118326
2215626
Stop Event
1×node limit
Counts
2 → 41
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(pow.f64 (+.f64 b 2) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b 2) -1/4) (*.f64 (pow.f64 (+.f64 b 2) -1/4) (pow.f64 (+.f64 b 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)) (pow.f64 (+.f64 b 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/4)) (pow.f64 (+.f64 b 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 b 2) -1/2) (cbrt.f64 (/.f64 1 (+.f64 b 2)))) (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1 (log.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 b 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 b 2) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b 2) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 b 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b 2) -1/4) (pow.f64 (+.f64 b 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 b 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1/2) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 b 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 b 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 b 2) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b 2) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 b 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 b 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 b 2) -1/2)))))))

simplify79.0ms (1%)

Algorithm
1×egg-herbie
Rules
1362×associate-*r/
1158×associate-*l/
1120×associate-*r*
1028×fma-def
974×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01982535
14742263
215092015
355632015
Stop Event
1×node limit
Counts
65 → 138
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 3/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2)))) (+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b))))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 3/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2)))) (+.f64 1/2 (+.f64 (*.f64 (+.f64 (*.f64 -3/64 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 -5/64 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) b)) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2))
(+.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (pow.f64 b 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (pow.f64 b 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) b)) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2))))
(+.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (pow.f64 b 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (pow.f64 b 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) b)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2)) (*.f64 3 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2))) (pow.f64 b 3))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)))
(+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b))))
(+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (*.f64 -5/128 (*.f64 (sqrt.f64 1/2) (pow.f64 b 3))))))
(sqrt.f64 (/.f64 1 b))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (sqrt.f64 (/.f64 1 b)))
(+.f64 (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (sqrt.f64 (/.f64 1 b))))
(+.f64 (*.f64 -5/2 (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (sqrt.f64 (/.f64 1 b)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) b)))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) b)) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) (pow.f64 b 2)))))
(+.f64 (*.f64 -5/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) (pow.f64 b 3))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) b)) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) (pow.f64 b 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2)))) 1)
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(*.f64 (pow.f64 (+.f64 b 2) -1/4) (*.f64 (pow.f64 (+.f64 b 2) -1/4) (pow.f64 (+.f64 b 2) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)) (pow.f64 (+.f64 b 2) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (/.f64 1 (+.f64 b 2))))
(*.f64 (*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/4)) (pow.f64 (+.f64 b 2) -1/4))
(*.f64 (*.f64 (pow.f64 (+.f64 b 2) -1/2) (cbrt.f64 (/.f64 1 (+.f64 b 2)))) (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))
(/.f64 1 (+.f64 b 2))
(sqrt.f64 (pow.f64 (+.f64 b 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(exp.f64 (*.f64 -1 (log.f64 (+.f64 b 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 b 2)) -1))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 b 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 b 2) -1/2))) 1)
(*.f64 (pow.f64 (+.f64 b 2) -1/2) 1)
(*.f64 1 (pow.f64 (+.f64 b 2) -1/2))
(*.f64 (pow.f64 (+.f64 b 2) -1/4) (pow.f64 (+.f64 b 2) -1/4))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 b 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2)))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 b 2) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1/2) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 b 2)))
(fabs.f64 (pow.f64 (+.f64 b 2) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 b 2) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 b 2) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 b 2) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 b 2) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (+.f64 b 2))))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 b 2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 b 2) -1/2)))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(fma.f64 -1/4 b 1/2)
(fma.f64 b -1/4 1/2)
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 3/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2)))) (+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b))))
(fma.f64 (*.f64 b b) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) 1/4) (+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b))))
(fma.f64 (*.f64 b b) 1/8 (fma.f64 -1/4 b 1/2))
(fma.f64 b -1/4 (fma.f64 (*.f64 b b) 1/8 1/2))
(fma.f64 b -1/4 (fma.f64 b (*.f64 b 1/8) 1/2))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 3/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2)))) (+.f64 1/2 (+.f64 (*.f64 (+.f64 (*.f64 -3/64 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 -5/64 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))))
(fma.f64 (*.f64 b b) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) 1/4) (+.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) -1/8) (pow.f64 b 3) (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))))
(+.f64 (fma.f64 -1/16 (pow.f64 b 3) (*.f64 b -1/4)) (fma.f64 (*.f64 b b) 1/8 1/2))
(fma.f64 b (*.f64 b 1/8) (fma.f64 b -1/4 (fma.f64 -1/16 (pow.f64 b 3) 1/2)))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))) (/.f64 8 (pow.f64 b 4))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4))))
(pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2)
(pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) 2)
(pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) 2)
(pow.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) 2)
(+.f64 (*.f64 -2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) b)) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2))
(fma.f64 -2 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) 2) b) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) 2))
(fma.f64 -2 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) 2) b) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) 2))
(fma.f64 -2 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) 2) b) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) 2))
(+.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (pow.f64 b 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (pow.f64 b 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) b)) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) 2) (*.f64 b b)) (fma.f64 3 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) 2) (*.f64 b b)) (fma.f64 -2 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) 2) b) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) 2))))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) 2) b) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) 2)) (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) 2) (*.f64 b b))))
(fma.f64 4 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) 2) (*.f64 b b)) (fma.f64 -2 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) 2) b) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) 2)))
(+.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (pow.f64 b 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) (pow.f64 b 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2) b)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2)) (*.f64 3 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2))) (pow.f64 b 3))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) 2)))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) 2) (*.f64 b b)) (fma.f64 3 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) 2) (*.f64 b b)) (fma.f64 -2 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) 2) b) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) 2) 8) (pow.f64 b 3)) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) 2)))))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) 2) b) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) 2) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) 2) (/.f64 (pow.f64 b 3) 8)))) (*.f64 4 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) 2) (*.f64 b b))))
(+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) 2) (fma.f64 4 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) 2) (*.f64 b b)) (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) 2) b) (-.f64 -2 (/.f64 8 (*.f64 b b))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)))
(fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2))
(*.f64 (+.f64 (*.f64 b -1/4) 1) (sqrt.f64 1/2))
(+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b))))
(fma.f64 3/32 (*.f64 (sqrt.f64 1/2) (*.f64 b b)) (+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b))))
(fma.f64 3/32 (*.f64 (sqrt.f64 1/2) (*.f64 b b)) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 b -1/4) (*.f64 b (*.f64 b 3/32)))))
(+.f64 (*.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (*.f64 -5/128 (*.f64 (sqrt.f64 1/2) (pow.f64 b 3))))))
(fma.f64 3/32 (*.f64 (sqrt.f64 1/2) (*.f64 b b)) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (*.f64 -5/128 (*.f64 (sqrt.f64 1/2) (pow.f64 b 3))))))
(+.f64 (fma.f64 3/32 (*.f64 (sqrt.f64 1/2) (*.f64 b b)) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 b 3) -5/128)))
(+.f64 (*.f64 (+.f64 (*.f64 b -1/4) 1) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 b 3) -5/128) (*.f64 b (*.f64 b 3/32)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (sqrt.f64 1/2) (*.f64 b (*.f64 b 3/32)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 b -1/4) (*.f64 (pow.f64 b 3) -5/128)))))
(sqrt.f64 (/.f64 1 b))
(+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (sqrt.f64 (/.f64 1 b)))
(fma.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (sqrt.f64 (/.f64 1 b)))
(-.f64 (sqrt.f64 (/.f64 1 b)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))
(+.f64 (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (sqrt.f64 (/.f64 1 b))))
(fma.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) (fma.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (sqrt.f64 (/.f64 1 b))))
(fma.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) (-.f64 (sqrt.f64 (/.f64 1 b)) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (fma.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) (sqrt.f64 (/.f64 1 b))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))
(+.f64 (*.f64 -5/2 (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) (sqrt.f64 (/.f64 1 b)))))
(fma.f64 -5/2 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) (fma.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (sqrt.f64 (/.f64 1 b)))))
(fma.f64 -5/2 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) (-.f64 (sqrt.f64 (/.f64 1 b)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(fma.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) (fma.f64 -5/2 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (-.f64 (sqrt.f64 (/.f64 1 b)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(fma.f64 -5/2 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (-.f64 (fma.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) (sqrt.f64 (/.f64 1 b))) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))))
(*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) b)))
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) (neg.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) b)))
(-.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) b))
(-.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) (/.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) b))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) b)) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) (pow.f64 b 2)))))
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) b) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) (*.f64 b b)))))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) (-.f64 (/.f64 3/2 (/.f64 (*.f64 b b) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))))) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) b)))
(fma.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) b) (+.f64 -1 (/.f64 3/2 b))))
(fma.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2) (/.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (+.f64 -1 (/.f64 3/2 b))) (/.f64 b (pow.f64 -1 -1/2))))
(+.f64 (*.f64 -5/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) (pow.f64 b 3))) (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) b)) (*.f64 3/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 -1)))) (pow.f64 b 2))))))
(fma.f64 -5/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) (pow.f64 b 3)) (+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) b) (*.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 -1))) (*.f64 b b))))))
(+.f64 (-.f64 (/.f64 3/2 (/.f64 (*.f64 b b) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))))) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) b)) (fma.f64 -5/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b)))) (pow.f64 b 3)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 b))))))
(fma.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2) (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 b) 1/2) b) (/.f64 (pow.f64 -1 -1/2) b)) (+.f64 3/2 (/.f64 -5/2 b))) (/.f64 (*.f64 (pow.f64 (/.f64 -1 b) 1/2) (pow.f64 -1 -1/2)) b)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2)))) 1)
(/.f64 1 (+.f64 2 b))
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(/.f64 1 (+.f64 2 b))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(/.f64 1 (+.f64 2 b))
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(/.f64 1 (+.f64 2 b))
(*.f64 (pow.f64 (+.f64 b 2) -1/4) (*.f64 (pow.f64 (+.f64 b 2) -1/4) (pow.f64 (+.f64 b 2) -1/2)))
(/.f64 1 (+.f64 2 b))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)) (pow.f64 (+.f64 b 2) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) (*.f64 (pow.f64 (+.f64 2 b) -1/2) (cbrt.f64 (pow.f64 (+.f64 2 b) -1/2))))
(*.f64 (pow.f64 (+.f64 2 b) -1/2) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (/.f64 1 (+.f64 b 2))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -2)))
(*.f64 (*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/4)) (pow.f64 (+.f64 b 2) -1/4))
(/.f64 1 (+.f64 2 b))
(*.f64 (*.f64 (pow.f64 (+.f64 b 2) -1/2) (cbrt.f64 (/.f64 1 (+.f64 b 2)))) (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) (*.f64 (pow.f64 (+.f64 2 b) -1/2) (cbrt.f64 (pow.f64 (+.f64 2 b) -1/2))))
(*.f64 (pow.f64 (+.f64 2 b) -1/2) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -1/2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))
(pow.f64 (sqrt.f64 (+.f64 2 b)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 b))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (+.f64 2 b)))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 2 b))) (pow.f64 (cbrt.f64 (+.f64 2 b)) 2))
(/.f64 1 (+.f64 b 2))
(/.f64 1 (+.f64 2 b))
(sqrt.f64 (pow.f64 (+.f64 b 2) -2))
(/.f64 1 (+.f64 2 b))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))
(/.f64 1 (+.f64 2 b))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b 2)))))
(/.f64 1 (+.f64 2 b))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3))
(/.f64 1 (+.f64 2 b))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(/.f64 1 (+.f64 2 b))
(exp.f64 (*.f64 -1 (log.f64 (+.f64 b 2))))
(/.f64 1 (+.f64 2 b))
(exp.f64 (*.f64 (log.f64 (+.f64 b 2)) -1))
(/.f64 1 (+.f64 2 b))
(exp.f64 (*.f64 (*.f64 -1 (log.f64 (+.f64 b 2))) 1))
(/.f64 1 (+.f64 2 b))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))
(/.f64 1 (+.f64 2 b))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 b 2) -1/2))) 1)
(pow.f64 (+.f64 2 b) -1/2)
(*.f64 (pow.f64 (+.f64 b 2) -1/2) 1)
(pow.f64 (+.f64 2 b) -1/2)
(*.f64 1 (pow.f64 (+.f64 b 2) -1/2))
(pow.f64 (+.f64 2 b) -1/2)
(*.f64 (pow.f64 (+.f64 b 2) -1/4) (pow.f64 (+.f64 b 2) -1/4))
(pow.f64 (+.f64 2 b) -1/2)
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 b 2))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -1/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 b 2)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 b) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 2 b)))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 b 2) -1/2))
(pow.f64 (+.f64 2 b) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1/2) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1/2))
(/.f64 1 (sqrt.f64 (+.f64 2 b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 2 b)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 b 2)))
(pow.f64 (+.f64 2 b) -1/2)
(fabs.f64 (pow.f64 (+.f64 b 2) -1/2))
(pow.f64 (+.f64 2 b) -1/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 b 2) -1/2)))
(pow.f64 (+.f64 2 b) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 b 2) -1/2))))
(pow.f64 (+.f64 2 b) -1/2)
(cbrt.f64 (pow.f64 (+.f64 b 2) -3/2))
(cbrt.f64 (pow.f64 (+.f64 2 b) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 b 2) -1/2)))
(pow.f64 (+.f64 2 b) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (+.f64 b 2))))
(pow.f64 (+.f64 2 b) -1/2)
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 b 2))) 1))
(pow.f64 (+.f64 2 b) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 b 2) -1/2)))
(pow.f64 (+.f64 2 b) -1/2)

eval278.0ms (3.4%)

Compiler

Compiled 13895 to 11804 computations (15% saved)

prune116.0ms (1.4%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New6376643
Fresh426
Picked101
Done358
Total64513658
Error
0.32%
Counts
658 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
58.78%
(pow.f64 (sqrt.f64 1/2) 2)
✓20.9%
(/.f64 1 (+.f64 1 (exp.f64 b)))
39.81%
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (-.f64 (pow.f64 (+.f64 b 2) -1/2) 1)) 1)
38.84%
(-.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) 1)
59.36%
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
38.18%
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) 1)
53.35%
(-.f64 1 1)
77.2%
(+.f64 (exp.f64 b) 1)
✓58.38%
(+.f64 1/2 (*.f64 1/4 a))
✓59.31%
(+.f64 1/2 (*.f64 -1/4 b))
✓20.88%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓49.96%
(exp.f64 a)
58.22%
1/2
Compiler

Compiled 159 to 141 computations (11.3% saved)

regimes69.0ms (0.9%)

Counts
29 → 1
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (sqrt.f64 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) 1)
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (-.f64 (pow.f64 (+.f64 b 2) -1/2) 1)) 1)
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(/.f64 1 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (pow.f64 b 4) 1/4)) (*.f64 (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))) (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2))))))) (cbrt.f64 (+.f64 b (-.f64 2 (*.f64 b (*.f64 b 1/2)))))))
(-.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2))))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))) 1)
Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Calls

5 calls:

33.0ms
a
14.0ms
b
7.0ms
(exp.f64 b)
4.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.16%1a
1.16%1b
1.16%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.16%1(exp.f64 a)
1.16%1(exp.f64 b)
Compiler

Compiled 318 to 227 computations (28.6% saved)

regimes40.0ms (0.5%)

Counts
24 → 1
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (sqrt.f64 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) 1)
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 1 (pow.f64 (+.f64 b 2) -1/2))) (-.f64 (pow.f64 (+.f64 b 2) -1/2) 1)) 1)
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

13.0ms
b
12.0ms
a
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.19%1a
1.19%1b
1.19%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.19%1(exp.f64 a)
1.19%1(exp.f64 b)
Compiler

Compiled 188 to 137 computations (27.1% saved)

regimes71.0ms (0.9%)

Counts
21 → 2
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (sqrt.f64 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) 1)
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))
Outputs
(-.f64 1 1)
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
Calls

4 calls:

31.0ms
b
24.0ms
a
8.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.45%2a
0.94%3b
0.45%2(exp.f64 a)
0.94%3(exp.f64 b)
Compiler

Compiled 137 to 101 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9961052963233975
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes275.0ms (3.4%)

Counts
19 → 2
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (sqrt.f64 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) 1)
Outputs
(-.f64 1 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

161.0ms
a
98.0ms
b
7.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.47%2a
0.95%3b
0.47%2(exp.f64 a)
0.95%3(exp.f64 b)
Compiler

Compiled 126 to 94 computations (25.4% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9961052963233975
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes68.0ms (0.8%)

Counts
14 → 2
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
Outputs
(-.f64 1 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
Calls

4 calls:

40.0ms
b
15.0ms
a
5.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
16.86%2a
17.53%6b
16.86%2(exp.f64 a)
21.94%2(exp.f64 b)
Compiler

Compiled 90 to 66 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9961052963233975
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes55.0ms (0.7%)

Counts
9 → 8
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(/.f64 (/.f64 2 b) b)
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
Outputs
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
(+.f64 1/2 (*.f64 -1/4 b))
(-.f64 1 1)
Calls

2 calls:

42.0ms
b
11.0ms
a
Results
ErrorSegmentsBranch
30.09%2a
28.93%8b
Compiler

Compiled 47 to 36 computations (23.4% saved)

bsearch118.0ms (1.5%)

Algorithm
7×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×predicate-same
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.18193704892241716
6371646013.91119
16.0ms
-8.372464192835655e-286
-4.18155245141993e-290
15.0ms
-4.691729636474615e-262
-7.6443063620247225e-267
17.0ms
-1.6342951807208606e-92
-7.884672858626183e-102
14.0ms
-3.965932150330692e-56
-7.411924113235947e-57
16.0ms
-3.820798246986638e-28
-1.1784491807135793e-30
21.0ms
-4226800523069060.0
-6158620.995212029
Results
101.0ms928×body256valid
5.0ms37×body256unsamplable
Compiler

Compiled 667 to 644 computations (3.4% saved)

regimes33.0ms (0.4%)

Accuracy

Total -43.5b remaining (-229.4%)

Threshold costs -43.5b (-229.4%)

Counts
3 → 8
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
Outputs
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
Calls

2 calls:

25.0ms
b
7.0ms
a
Results
ErrorSegmentsBranch
30.09%2a
29.61%8b
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch95.0ms (1.2%)

Algorithm
7×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
17.0ms
3.0816762815754704e-16
3.7961090583405755e-12
13.0ms
-8.372464192835655e-286
-4.18155245141993e-290
15.0ms
-4.691729636474615e-262
-7.6443063620247225e-267
16.0ms
-1.6342951807208606e-92
-7.884672858626183e-102
13.0ms
-3.965932150330692e-56
-7.411924113235947e-57
2.0ms
-3.820798246986638e-28
-1.1784491807135793e-30
19.0ms
-4226800523069060.0
-6158620.995212029
Results
83.0ms784×body256valid
1.0ms11×body256unsamplable
Compiler

Compiled 505 to 500 computations (1% saved)

simplify22.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
20×not-or
20×if-not
18×+-commutative
18×not-not
14×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076310
198310
2107310
3116310
4124310
5134310
6144310
7152310
8157310
9160310
10161310
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b -750000000) 1/2 (if (<=.f64 b -7493050386706289/356811923176489970264571492362373784095686656) (-.f64 1 1) (if (<=.f64 b -7950811791502729/883423532389192164791648750371459257913741948437809479060803100646309888) 1/2 (if (<=.f64 b -2348542582773833/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (-.f64 1 1) (if (<=.f64 b -290432989937067/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296) 1/2 (if (<=.f64 b -274574080591481/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (-.f64 1 1) (if (<=.f64 b 5404319552844595/4503599627370496) (+.f64 1/2 (*.f64 -1/4 b)) (-.f64 1 1))))))))
(if (<=.f64 b -470000000) 1/2 (if (<=.f64 b -8920298079412249/44601490397061246283071436545296723011960832) (-.f64 1 1) (if (<=.f64 b -6625676492918941/883423532389192164791648750371459257913741948437809479060803100646309888) 1/2 (if (<=.f64 b -2348542582773833/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (-.f64 1 1) (if (<=.f64 b -6679958768552541/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736) 1/2 (if (<=.f64 b -4821788732338203/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (-.f64 1 1) (if (<=.f64 b 4580378145355907/1237940039285380274899124224) 1/2 (-.f64 1 1))))))))
1/2
Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 0) 0 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) 0 (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 (exp.f64 a) 0) 0 (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 b -750000000) 1/2 (if (<=.f64 b -7493050386706289/356811923176489970264571492362373784095686656) (-.f64 1 1) (if (<=.f64 b -7950811791502729/883423532389192164791648750371459257913741948437809479060803100646309888) 1/2 (if (<=.f64 b -2348542582773833/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (-.f64 1 1) (if (<=.f64 b -290432989937067/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296) 1/2 (if (<=.f64 b -274574080591481/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (-.f64 1 1) (if (<=.f64 b 5404319552844595/4503599627370496) (+.f64 1/2 (*.f64 -1/4 b)) (-.f64 1 1))))))))
(if (<=.f64 b -750000000) 1/2 (if (<=.f64 b -7493050386706289/356811923176489970264571492362373784095686656) 0 (if (<=.f64 b -7950811791502729/883423532389192164791648750371459257913741948437809479060803100646309888) 1/2 (if (<=.f64 b -2348542582773833/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) 0 (if (<=.f64 b -290432989937067/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296) 1/2 (if (<=.f64 b -274574080591481/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) 0 (if (<=.f64 b 5404319552844595/4503599627370496) (+.f64 1/2 (*.f64 b -1/4)) 0)))))))
(if (<=.f64 b -470000000) 1/2 (if (<=.f64 b -8920298079412249/44601490397061246283071436545296723011960832) (-.f64 1 1) (if (<=.f64 b -6625676492918941/883423532389192164791648750371459257913741948437809479060803100646309888) 1/2 (if (<=.f64 b -2348542582773833/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (-.f64 1 1) (if (<=.f64 b -6679958768552541/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736) 1/2 (if (<=.f64 b -4821788732338203/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (-.f64 1 1) (if (<=.f64 b 4580378145355907/1237940039285380274899124224) 1/2 (-.f64 1 1))))))))
(if (<=.f64 b -470000000) 1/2 (if (<=.f64 b -8920298079412249/44601490397061246283071436545296723011960832) 0 (if (<=.f64 b -6625676492918941/883423532389192164791648750371459257913741948437809479060803100646309888) 1/2 (if (<=.f64 b -2348542582773833/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) 0 (if (<=.f64 b -6679958768552541/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736) 1/2 (if (<=.f64 b -4821788732338203/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) 0 (if (<=.f64 b 4580378145355907/1237940039285380274899124224) 1/2 0)))))))
1/2
Compiler

Compiled 148 to 120 computations (18.9% saved)

soundness162.0ms (2%)

Algorithm
2×egg-herbie
Rules
1544×distribute-lft-in
1474×distribute-rgt-in
1066×unswap-sqr
998×associate-/l*
974×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01521762
13651576
213541274
354491274
082723321
1228423113
Stop Event
1×node limit
1×node limit
Compiler

Compiled 34 to 27 computations (20.6% saved)

end67.0ms (0.8%)

Compiler

Compiled 134 to 98 computations (26.9% saved)

Profiling

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