Quotient of sum of exps

Time bar (total: 5.8s)

analyze10.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
93.8%93.7%6.2%0.1%0%0%0%6
95.2%93.7%4.7%0.1%0%0%1.6%7
96%93.7%3.9%0.1%0%0%2.3%8
97.2%93.7%2.7%0.1%0%0%3.5%9
97.8%93.7%2.1%0.1%0%0%4.1%10
98.5%93.7%1.5%0.1%0%0%4.8%11
98.8%93.7%1.1%0.1%0%0%5.1%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.3s (22.3%)

Results
0.0ms256valid
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0.0ms256unsamplable
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0.0ms256unsamplable
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0.0ms256unsamplable
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0.0ms256unsamplable
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0.0ms256unsamplable
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0.0ms256unsamplable
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52.0ms256valid
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0.0ms256valid
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2.0ms256valid
0.0ms256valid
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0.0ms256valid
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0.0ms256valid
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Bogosity

preprocess235.0ms (4.1%)

Algorithm
egg-herbie
Rules
2502×fma-neg
1520×fma-define
1314×times-frac
650×distribute-lft-neg-in
532×distribute-rgt-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(exp.f64 a)
00-0-(exp.f64 b)
00-0-b
00-0-a
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024270
166268
2156266
3309266
4667238
51549238
63797238
76082238
87676238
Stop Event
node limit
Calls
Call 1
Inputs
(/.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 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b))))
(neg.f64 (/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b))))
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (neg.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 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b)))
(/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))
(/.f64 1 (fma.f64 (exp.f64 a) (exp.f64 b) 1))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 a b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b))))
(neg.f64 (/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b))))
(/.f64 (exp.f64 (neg.f64 a)) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a)))))
(/.f64 (/.f64 -1 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a))))
(/.f64 (exp.f64 (neg.f64 a)) (-.f64 (/.f64 -1 (exp.f64 a)) (exp.f64 b)))
(/.f64 -1 (fma.f64 (exp.f64 a) (exp.f64 b) 1))
(/.f64 -1 (+.f64 1 (exp.f64 (+.f64 a b))))
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b)))))
(/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b)))))
(/.f64 (exp.f64 a) (-.f64 (/.f64 -1 (exp.f64 b)) (exp.f64 a)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 54 to 20 computations (63% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize32.0ms (0.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
98.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 22 to 7 computations (68.2% saved)

series30.0ms (0.5%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
18.0ms
a
@-inf
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
b
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
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)))

rewrite223.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
1468×fma-define
970×prod-diff
748×log1p-expm1-u
748×expm1-log1p-u
672×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
114355
2208555
Stop Event
node limit
Counts
2 → 121
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(+.f64 0 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(-.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)
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.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)))))
(*.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 (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 (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 (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)) (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 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(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 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.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)))))
(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))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.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)))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(fma.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1 0)
(fma.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 0)
(fma.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 0)
(fma.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 0)
(fma.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 0)
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 0)
(fma.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a) 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 0)
(fma.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)))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.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)))) 0)
(fma.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)))) 0)
(fma.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.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)))) 0)
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) 0)
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)) 0)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 0)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) (+.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (-.f64 0 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 0))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(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)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(fma.f64 (exp.f64 a) 1 (exp.f64 b))
(fma.f64 (exp.f64 b) 1 (exp.f64 a))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1 0)
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)) 0)
(fma.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (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 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))) 0)
(fma.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))) 0)

simplify116.0ms (2%)

Algorithm
egg-herbie
Rules
966×unswap-sqr
594×+-commutative
593×add0
586×fma-neg
492×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03326221
111066082
240546082
Stop Event
node limit
Counts
137 → 180
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 (pow.f64 a 2) (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 3/2 (/.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 (pow.f64 a 2) (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 (pow.f64 a 3) (-.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 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.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 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.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 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.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 (*.f64 -1 (*.f64 (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)))) (+.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 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (+.f64 (exp.f64 b) (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 1 (+.f64 a (+.f64 (exp.f64 b) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 2))))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(+.f64 0 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(-.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)
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.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)))))
(*.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 (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 (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 (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)) (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 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(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 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.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)))))
(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))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.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)))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(fma.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1 0)
(fma.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 0)
(fma.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 0)
(fma.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 0)
(fma.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 0)
(fma.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 0)
(fma.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a) 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 0)
(fma.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)))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.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)))) 0)
(fma.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)))) 0)
(fma.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.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)))) 0)
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) 0)
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)) 0)
(-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 0)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) (+.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (-.f64 0 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 0))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(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)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(fma.f64 (exp.f64 a) 1 (exp.f64 b))
(fma.f64 (exp.f64 b) 1 (exp.f64 a))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1 0)
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)) 0)
(fma.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (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 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(fma.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))) 0)
(fma.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))) 0)
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 (pow.f64 a 2) (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
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(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))
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (exp.f64 b))
(+.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 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(+.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 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))) 0)
(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(fma.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))) 0)
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))

eval56.0ms (1%)

Compiler

Compiled 3871 to 1823 computations (52.9% saved)

prune39.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1773180
Fresh000
Picked101
Done000
Total1783181
Accuracy
99.7%
Counts
181 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
98.3%
(/.f64 (exp.f64 a) (expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
83.8%
(/.f64 1 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize267.0ms (4.6%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
99.2%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
100.0%
(+.f64 (exp.f64 b) (exp.f64 a))
100.0%
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
99.2%
(/.f64 (exp.f64 a) (expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
97.6%
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
100.0%
(/.f64 1 (+.f64 1 (exp.f64 b)))
100.0%
(+.f64 1 (exp.f64 b))
Compiler

Compiled 66 to 22 computations (66.7% saved)

series154.0ms (2.7%)

Counts
7 → 108
Calls

33 calls:

TimeVariablePointExpression
45.0ms
a
@-inf
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
42.0ms
b
@inf
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
25.0ms
b
@-inf
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
18.0ms
a
@inf
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
2.0ms
b
@-inf
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))))

rewrite183.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1440×prod-diff
978×log1p-expm1-u
496×expm1-log1p-u
138×associate-*r*
129×add0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019162
1283160
24145160
Stop Event
node limit
Counts
7 → 272
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 b))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 b)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 (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 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 1 (exp.f64 b)) 1)
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (-.f64 0 (*.f64 (+.f64 1 (exp.f64 b)) 0))))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) -1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) 0) (-.f64 (+.f64 1 (exp.f64 b)) 0))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.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))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 1 (+.f64 1 (exp.f64 b)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))) 0)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(fma.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))) 0)
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (/.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 -1 (/.f64 1 (+.f64 -1 (neg.f64 (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)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.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 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(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)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(neg.f64 (/.f64 -1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.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)))))
(log1p.f64 (expm1.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))
(fma.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 0)
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 0)
(+.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 0)
(+.f64 0 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) 1)
(*.f64 1 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3) (+.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2) (-.f64 0 (*.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 0))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2) 0) (-.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 0))
(pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))
(log.f64 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))
(cbrt.f64 (pow.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 1))
(fma.f64 1 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (cbrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 0)
(fma.f64 (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 0)
(+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 0)
(+.f64 0 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))) 1)
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 1)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) (exp.f64 a))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (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 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.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 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (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 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.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)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 2)
(pow.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 b) (exp.f64 a))))
(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 b) (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) 1))
(fma.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 0)
(fma.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 b) (exp.f64 a))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 0)
(fma.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) -1)
(+.f64 0 (+.f64 (exp.f64 b) (exp.f64 a)))
(-.f64 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))))
(/.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3) (+.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 2) (-.f64 0 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) 3) 1) (+.f64 (*.f64 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a))) (+.f64 1 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 2) 0) (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a))) 1) (+.f64 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) 1))
(pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(exp.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 1))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.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 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 0)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(-.f64 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))))
(/.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3) (+.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 2) (-.f64 0 (*.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) 3) 1) (+.f64 (*.f64 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a))) (+.f64 1 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 2) 0) (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a))) 1) (+.f64 (+.f64 (+.f64 1 (exp.f64 b)) (exp.f64 a)) 1))
(pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(exp.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 1))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2) (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.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 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 0)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.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 (-.f64 a (log1p.f64 (exp.f64 a)))) 0)
(+.f64 0 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1)
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 1 (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 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 1 (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))))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (exp.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.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 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(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 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 1 (exp.f64 a)))))
(neg.f64 (/.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))
(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))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(expm1.f64 (log1p.f64 (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))))
(exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1))
(fma.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 0)
(fma.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(fma.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))))) 0)
(fma.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 0)

simplify137.0ms (2.4%)

Algorithm
egg-herbie
Rules
1152×fma-define
1118×+-commutative
770×distribute-rgt-in
722×add0
698×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062613978
1208013486
Stop Event
node limit
Counts
380 → 369
Calls
Call 1
Inputs
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2)))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/48 (pow.f64 b 3))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3)))))
(log.f64 (+.f64 2 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 2 (exp.f64 a))) (/.f64 b (+.f64 2 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 2))))) (/.f64 b (+.f64 2 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 a))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 3))) (/.f64 1 (+.f64 2 (exp.f64 a)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 2))))) (/.f64 b (+.f64 2 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 2 (exp.f64 b)))
(+.f64 (log.f64 (+.f64 2 (exp.f64 b))) (/.f64 a (+.f64 2 (exp.f64 b))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 b))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 b)) 2))))) (/.f64 a (+.f64 2 (exp.f64 b)))))
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(+.f64 (exp.f64 a) (exp.f64 b))
1/2
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(expm1.f64 (log1p.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
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(pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 1 (exp.f64 a)))))
(neg.f64 (/.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))
(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))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(expm1.f64 (log1p.f64 (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))))
(exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1))
(fma.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 0)
(fma.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(fma.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))))) 0)
(fma.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 0)
Outputs
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (pow.f64 b 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 b 2) b))
(+.f64 2 (+.f64 b (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (+.f64 2 b) (fma.f64 1/6 (pow.f64 b 3) (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 b 2) b) (*.f64 1/6 (pow.f64 b 3))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/48 (pow.f64 b 3))))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 (pow.f64 b 3) 1/48)))
(+.f64 1/2 (fma.f64 (pow.f64 b 3) 1/48 (*.f64 b -1/4)))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3)))))
(+.f64 1/2 (fma.f64 -1/4 b (fma.f64 -1/480 (pow.f64 b 5) (*.f64 (pow.f64 b 3) 1/48))))
(+.f64 (fma.f64 b -1/4 1/2) (fma.f64 (pow.f64 b 3) 1/48 (*.f64 -1/480 (pow.f64 b 5))))
(log.f64 (+.f64 2 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 2 (exp.f64 a))) (/.f64 b (+.f64 2 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 2))))) (/.f64 b (+.f64 2 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 a))) (fma.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 2)))) (/.f64 b (+.f64 2 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 a))) (fma.f64 1/2 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 2 (exp.f64 a)) 2)))) (/.f64 b (+.f64 2 (exp.f64 a)))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 a))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 3))) (/.f64 1 (+.f64 2 (exp.f64 a)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 2))))) (/.f64 b (+.f64 2 (exp.f64 a))))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 a))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 2 (exp.f64 a)) 3)) (-.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (/.f64 3 (pow.f64 (+.f64 2 (exp.f64 a)) 2))))) (fma.f64 1/2 (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 a)) 2)))) (/.f64 b (+.f64 2 (exp.f64 a))))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 a))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 2 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 2 (exp.f64 a)) 2))))) (fma.f64 1/2 (*.f64 (pow.f64 b 2) (+.f64 (/.f64 1 (+.f64 2 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 2 (exp.f64 a)) 2)))) (/.f64 b (+.f64 2 (exp.f64 a))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 2 (exp.f64 b)))
(+.f64 (log.f64 (+.f64 2 (exp.f64 b))) (/.f64 a (+.f64 2 (exp.f64 b))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 b))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 b)) 2))))) (/.f64 a (+.f64 2 (exp.f64 b)))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 b))) (fma.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 b)) 2)))) (/.f64 a (+.f64 2 (exp.f64 b)))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 b))) (fma.f64 1/2 (*.f64 (pow.f64 a 2) (+.f64 (/.f64 1 (+.f64 2 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 2 (exp.f64 b)) 2)))) (/.f64 a (+.f64 2 (exp.f64 b)))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 b))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 b)) 3))) (/.f64 1 (+.f64 2 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 b)) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 b)) 2))))) (/.f64 a (+.f64 2 (exp.f64 b))))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 b))) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (+.f64 2 (exp.f64 b))) (/.f64 2 (pow.f64 (+.f64 2 (exp.f64 b)) 3))) (/.f64 3 (pow.f64 (+.f64 2 (exp.f64 b)) 2)))) (fma.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 2 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 2 (exp.f64 b)) 2)))) (/.f64 a (+.f64 2 (exp.f64 b))))))
(+.f64 (log.f64 (+.f64 2 (exp.f64 b))) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (+.f64 (/.f64 1 (+.f64 2 (exp.f64 b))) (/.f64 2 (pow.f64 (+.f64 2 (exp.f64 b)) 3))) (/.f64 -3 (pow.f64 (+.f64 2 (exp.f64 b)) 2)))) (fma.f64 1/2 (*.f64 (pow.f64 a 2) (+.f64 (/.f64 1 (+.f64 2 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 2 (exp.f64 b)) 2)))) (/.f64 a (+.f64 2 (exp.f64 b))))))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.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))) (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 (pow.f64 a 2) (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 3/2 (/.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))) (fma.f64 (pow.f64 a 2) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3/2 (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))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (pow.f64 a 2) (+.f64 (pow.f64 (/.f64 -1 (-.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 -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 (pow.f64 a 2) (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 (pow.f64 a 3) (-.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 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.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 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))))) (/.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 (pow.f64 a 2) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (fma.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (+.f64 (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (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 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (-.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (pow.f64 a 2) (+.f64 (pow.f64 (/.f64 -1 (-.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)))) (fma.f64 (pow.f64 a 3) (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (fma.f64 1/2 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (pow.f64 (/.f64 -1 (-.f64 -1 (exp.f64 b))) 3)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 2/3)))) (/.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 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(fma.f64 -1 (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))
(-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.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 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(fma.f64 -1 (*.f64 (pow.f64 b 2) (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) 1) 2)))) (fma.f64 -1 (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))))
(-.f64 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)))) (*.f64 (pow.f64 b 2) (-.f64 (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) 1) 2)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.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 (*.f64 -1 (*.f64 (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)))) (+.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 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))
(fma.f64 -1 (*.f64 (pow.f64 b 2) (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) 1) 2)))) (fma.f64 -1 (*.f64 (pow.f64 b 3) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (+.f64 (exp.f64 a) 1)) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 3)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2)))))) (fma.f64 -1 (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)))))
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1/2
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(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(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))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(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))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.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))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (exp.f64 a))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.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) (cbrt.f64 (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.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 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 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)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.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 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.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) (cbrt.f64 (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(*.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 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(*.f64 (exp.f64 a) (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(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)
(/.f64 (exp.f64 a) (+.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)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(fabs.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(fma.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 0)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(fma.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(fma.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))))) 0)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(fma.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 0)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))

eval125.0ms (2.2%)

Compiler

Compiled 6289 to 3375 computations (46.3% saved)

prune59.0ms (1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New3618369
Fresh000
Picked123
Done000
Total36210372
Accuracy
99.7%
Counts
372 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.3%
(/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2)))
66.5%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
16.3%
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
38.2%
(/.f64 1 (+.f64 2 b))
83.8%
(/.f64 1 (+.f64 1 (exp.f64 b)))
39.4%
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
37.7%
(+.f64 1/2 (*.f64 b -1/4))
39.5%
(+.f64 1/2 (*.f64 a 1/4))
83.8%
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
39.5%
1/2
Compiler

Compiled 175 to 143 computations (18.3% saved)

localize351.0ms (6.1%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.9%
(pow.f64 (exp.f64 b) 2)
98.8%
(/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))
52.9%
(-.f64 1 (exp.f64 b))
52.5%
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
100.0%
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a))
99.9%
(*.f64 -1/48 (pow.f64 a 3))
100.0%
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
100.0%
(+.f64 1 (exp.f64 b))
100.0%
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
Compiler

Compiled 135 to 91 computations (32.6% saved)

series22.0ms (0.4%)

Counts
8 → 43
Calls

24 calls:

TimeVariablePointExpression
3.0ms
b
@inf
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
2.0ms
b
@inf
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
2.0ms
b
@-inf
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
1.0ms
a
@inf
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a))
1.0ms
b
@-inf
(pow.f64 (+.f64 1 (exp.f64 b)) -2)

rewrite214.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1192×log1p-expm1-u
382×expm1-log1p-u
226×associate-*r*
157×add0
152×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027158
1396158
25554158
Stop Event
node limit
Counts
8 → 331
Calls
Call 1
Inputs
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(-.f64 1 (exp.f64 b))
(/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))
(pow.f64 (exp.f64 b) 2)
Outputs
(+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 0)
(+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0))
(+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (*.f64 0 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 0 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -2) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -2))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 3) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) (-.f64 0 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 0))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) 0) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 0))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(exp.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))) 1))
(fma.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 0)
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 0)
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (/.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 (cbrt.f64 (/.f64 1 (+.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 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 1 1/2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (-.f64 0 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 0) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1/2)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(fabs.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (*.f64 -1 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (*.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))) 1/2))
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (sqrt.f64 (-.f64 1 (exp.f64 b)))) (sqrt.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (/.f64 (-.f64 1 (+.f64 (exp.f64 b) (*.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2)))) (-.f64 1 (exp.f64 b))) (-.f64 1 (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.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))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 1 (+.f64 1 (exp.f64 b)) 0)
(fma.f64 1 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (neg.f64 (-.f64 1 (exp.f64 b)))))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 b)))) (/.f64 (pow.f64 (exp.f64 b) 2) (neg.f64 (-.f64 1 (exp.f64 b)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 b))) 0)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(fma.f64 (pow.f64 (-.f64 1 (exp.f64 b)) -1/2) (pow.f64 (-.f64 1 (exp.f64 b)) -1/2) (/.f64 (pow.f64 (exp.f64 b) 2) (neg.f64 (-.f64 1 (exp.f64 b)))))
(fma.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))) 0)
(+.f64 1 (neg.f64 (exp.f64 b)))
(+.f64 1 (*.f64 (neg.f64 (exp.f64 b)) 1))
(+.f64 (-.f64 1 (exp.f64 b)) 0)
(+.f64 0 (-.f64 1 (exp.f64 b)))
(+.f64 (neg.f64 (exp.f64 b)) 1)
(*.f64 1 (-.f64 1 (exp.f64 b)))
(*.f64 (-.f64 1 (exp.f64 b)) 1)
(*.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 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 b))) 2) (/.f64 (cbrt.f64 (-.f64 1 (exp.f64 b))) 1))
(*.f64 (sqrt.f64 (-.f64 1 (exp.f64 b))) (sqrt.f64 (-.f64 1 (exp.f64 b))))
(*.f64 (sqrt.f64 (-.f64 1 (exp.f64 b))) (/.f64 (sqrt.f64 (-.f64 1 (exp.f64 b))) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 b) (pow.f64 (exp.f64 b) 2)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (+.f64 (exp.f64 b) (*.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))))) (pow.f64 (-.f64 1 (exp.f64 b)) 2))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 (pow.f64 (-.f64 1 (exp.f64 b)) -3) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 3))) (+.f64 (+.f64 (pow.f64 (-.f64 1 (exp.f64 b)) -2) (*.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) -2))) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (-.f64 1 (exp.f64 b)) 2))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 (pow.f64 (-.f64 1 (exp.f64 b)) -2) (*.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) -2)))) (*.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (exp.f64 b) (pow.f64 (exp.f64 b) 2))) (-.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 (-.f64 1 (exp.f64 b)) 1)
(/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 3) (+.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (-.f64 0 (*.f64 (-.f64 1 (exp.f64 b)) 0))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (+.f64 1 (exp.f64 b)))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 b))) -1)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (+.f64 (exp.f64 b) (pow.f64 (exp.f64 b) 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (+.f64 1 (exp.f64 b))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 b) (pow.f64 (exp.f64 b) 2)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (exp.f64 b)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 b))) (neg.f64 (exp.f64 b)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 b)))) (-.f64 1 (neg.f64 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) 0) (-.f64 1 (exp.f64 b)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) 1) (+.f64 1 (exp.f64 b)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (sqrt.f64 (+.f64 1 (exp.f64 b)))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(pow.f64 (-.f64 1 (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 b))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (-.f64 1 (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.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))))
(log1p.f64 (expm1.f64 (-.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (neg.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (exp.f64 b))) 1))
(fma.f64 1 (-.f64 1 (exp.f64 b)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 b))) 2) (cbrt.f64 (-.f64 1 (exp.f64 b))) 0)
(fma.f64 (sqrt.f64 (-.f64 1 (exp.f64 b))) (sqrt.f64 (-.f64 1 (exp.f64 b))) 0)
(+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 0)
(+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) (*.f64 (pow.f64 (exp.f64 b) 2) 0))
(+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) (*.f64 0 (pow.f64 (exp.f64 b) 2)))
(+.f64 0 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 1)
(*.f64 1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 (exp.f64 b) (/.f64 (exp.f64 b) (-.f64 1 (exp.f64 b))))
(*.f64 (exp.f64 b) (*.f64 (exp.f64 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (pow.f64 (exp.f64 b) 2))
(*.f64 (pow.f64 (exp.f64 b) 2) (/.f64 1 (-.f64 1 (exp.f64 b))))
(*.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 4)) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (-.f64 1 (exp.f64 b))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 4)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (cbrt.f64 (*.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) -2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 (exp.f64 b) (sqrt.f64 (-.f64 1 (exp.f64 b)))) (/.f64 (exp.f64 b) (sqrt.f64 (-.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 b)) -1/2) (/.f64 (pow.f64 (exp.f64 b) 2) (sqrt.f64 (-.f64 1 (exp.f64 b)))))
(*.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (neg.f64 (-.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 (exp.f64 b) 1) (/.f64 (exp.f64 b) (-.f64 1 (exp.f64 b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 b))) 2)) (/.f64 (pow.f64 (exp.f64 b) 2) (cbrt.f64 (-.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 (exp.f64 b) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 b))) 2)) (/.f64 (exp.f64 b) (cbrt.f64 (-.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (-.f64 1 (exp.f64 b))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 4)) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 4)) (sqrt.f64 (-.f64 1 (exp.f64 b)))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (sqrt.f64 (-.f64 1 (exp.f64 b)))))
(*.f64 (*.f64 (pow.f64 (exp.f64 b) 2) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 b)) -2))) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 b)))))
(*.f64 (*.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (-.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (-.f64 1 (exp.f64 b)) -1/2))
(*.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (pow.f64 (exp.f64 b) 2))) (+.f64 1 (exp.f64 b)))
(*.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (+.f64 (exp.f64 b) (pow.f64 (exp.f64 b) 2))))
(pow.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 3) 1/3)
(pow.f64 (/.f64 (exp.f64 b) (sqrt.f64 (-.f64 1 (exp.f64 b)))) 2)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (neg.f64 (-.f64 1 (exp.f64 b)))))
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) -2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(exp.f64 (-.f64 (*.f64 b 2) (log1p.f64 (neg.f64 (exp.f64 b)))))
(exp.f64 (*.f64 (-.f64 (*.f64 b 2) (log1p.f64 (neg.f64 (exp.f64 b)))) 1))
(fma.f64 1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 0)
(fma.f64 (pow.f64 (exp.f64 b) 2) (/.f64 1 (-.f64 1 (exp.f64 b))) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 0)
(fma.f64 (/.f64 (exp.f64 b) (sqrt.f64 (-.f64 1 (exp.f64 b)))) (/.f64 (exp.f64 b) (sqrt.f64 (-.f64 1 (exp.f64 b)))) 0)
(+.f64 (pow.f64 (exp.f64 b) 2) 0)
(+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 b) 0))
(+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 0 (exp.f64 b)))
(+.f64 0 (pow.f64 (exp.f64 b) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 b) 2))) 1)
(*.f64 1 (pow.f64 (exp.f64 b) 2))
(*.f64 (exp.f64 b) (exp.f64 b))
(*.f64 (pow.f64 (exp.f64 b) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (pow.f64 (exp.f64 b) 4)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (*.f64 (cbrt.f64 (exp.f64 b)) (exp.f64 b)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 4)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2))
(*.f64 (sqrt.f64 (exp.f64 b)) (*.f64 (sqrt.f64 (exp.f64 b)) (exp.f64 b)))
(*.f64 (*.f64 (exp.f64 b) (sqrt.f64 (exp.f64 b))) (sqrt.f64 (exp.f64 b)))
(*.f64 (*.f64 (exp.f64 b) (pow.f64 (cbrt.f64 (exp.f64 b)) 2)) (cbrt.f64 (exp.f64 b)))
(/.f64 (pow.f64 (pow.f64 (exp.f64 b) 2) 3) (+.f64 (pow.f64 (exp.f64 b) 4) (-.f64 0 (*.f64 (pow.f64 (exp.f64 b) 2) 0))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 4) 0) (-.f64 (pow.f64 (exp.f64 b) 2) 0))
(sqrt.f64 (pow.f64 (exp.f64 b) 4))
(log.f64 (exp.f64 (pow.f64 (exp.f64 b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 b) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 b) 2)))
(exp.f64 (*.f64 b 2))
(exp.f64 (*.f64 (*.f64 b 2) 1))
(fma.f64 1 (pow.f64 (exp.f64 b) 2) 0)
(fma.f64 (exp.f64 b) (exp.f64 b) 0)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 4)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) 0)

simplify161.0ms (2.8%)

Algorithm
egg-herbie
Rules
1170×fma-define
1080×times-frac
902×add0
772×distribute-rgt-in
672×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074914495
1250612989
Stop Event
node limit
Counts
374 → 513
Calls
Call 1
Inputs
1/4
(+.f64 1/4 (*.f64 -1/4 b))
(+.f64 1/4 (+.f64 (*.f64 -1/4 b) (*.f64 1/16 (pow.f64 b 2))))
(+.f64 1/4 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 1/16 (pow.f64 b 2)))))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/48 (pow.f64 b 3))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 1/4 a)
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 -1 b)
(+.f64 (*.f64 -1 b) (*.f64 -1/2 (pow.f64 b 2)))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1/2 (pow.f64 b 2)) (*.f64 -1/6 (pow.f64 b 3))))
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1/2 (pow.f64 b 2)) (+.f64 (*.f64 -1/6 (pow.f64 b 3)) (*.f64 -1/24 (pow.f64 b 4)))))
(/.f64 -1 b)
(neg.f64 (+.f64 3/2 (/.f64 1 b)))
(-.f64 (*.f64 -13/12 b) (+.f64 3/2 (/.f64 1 b)))
(-.f64 (+.f64 (*.f64 -13/12 b) (*.f64 -1/2 (pow.f64 b 2))) (+.f64 3/2 (/.f64 1 b)))
1
(+.f64 1 (*.f64 2 b))
(+.f64 1 (+.f64 (*.f64 2 b) (*.f64 2 (pow.f64 b 2))))
(+.f64 1 (+.f64 (*.f64 4/3 (pow.f64 b 3)) (+.f64 (*.f64 2 b) (*.f64 2 (pow.f64 b 2)))))
(+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 0)
(+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0))
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(exp.f64 (*.f64 (-.f64 (*.f64 b 2) (log1p.f64 (neg.f64 (exp.f64 b)))) 1))
(fma.f64 1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 0)
(fma.f64 (pow.f64 (exp.f64 b) 2) (/.f64 1 (-.f64 1 (exp.f64 b))) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 0)
(fma.f64 (/.f64 (exp.f64 b) (sqrt.f64 (-.f64 1 (exp.f64 b)))) (/.f64 (exp.f64 b) (sqrt.f64 (-.f64 1 (exp.f64 b)))) 0)
(+.f64 (pow.f64 (exp.f64 b) 2) 0)
(+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 b) 0))
(+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 0 (exp.f64 b)))
(+.f64 0 (pow.f64 (exp.f64 b) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 b) 2))) 1)
(*.f64 1 (pow.f64 (exp.f64 b) 2))
(*.f64 (exp.f64 b) (exp.f64 b))
(*.f64 (pow.f64 (exp.f64 b) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (pow.f64 (exp.f64 b) 4)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (*.f64 (cbrt.f64 (exp.f64 b)) (exp.f64 b)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 4)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2))
(*.f64 (sqrt.f64 (exp.f64 b)) (*.f64 (sqrt.f64 (exp.f64 b)) (exp.f64 b)))
(*.f64 (*.f64 (exp.f64 b) (sqrt.f64 (exp.f64 b))) (sqrt.f64 (exp.f64 b)))
(*.f64 (*.f64 (exp.f64 b) (pow.f64 (cbrt.f64 (exp.f64 b)) 2)) (cbrt.f64 (exp.f64 b)))
(/.f64 (pow.f64 (pow.f64 (exp.f64 b) 2) 3) (+.f64 (pow.f64 (exp.f64 b) 4) (-.f64 0 (*.f64 (pow.f64 (exp.f64 b) 2) 0))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 4) 0) (-.f64 (pow.f64 (exp.f64 b) 2) 0))
(sqrt.f64 (pow.f64 (exp.f64 b) 4))
(log.f64 (exp.f64 (pow.f64 (exp.f64 b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 b) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 b) 2)))
(exp.f64 (*.f64 b 2))
(exp.f64 (*.f64 (*.f64 b 2) 1))
(fma.f64 1 (pow.f64 (exp.f64 b) 2) 0)
(fma.f64 (exp.f64 b) (exp.f64 b) 0)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 4)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) 0)
Outputs
1/4
(+.f64 1/4 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/4)
(+.f64 1/4 (+.f64 (*.f64 -1/4 b) (*.f64 1/16 (pow.f64 b 2))))
(+.f64 1/4 (fma.f64 -1/4 b (*.f64 1/16 (pow.f64 b 2))))
(+.f64 (fma.f64 -1/4 b 1/4) (*.f64 1/16 (pow.f64 b 2)))
(+.f64 1/4 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 1/16 (pow.f64 b 2)))))
(+.f64 1/4 (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (*.f64 1/16 (pow.f64 b 2)))))
(+.f64 (fma.f64 -1/4 b 1/4) (fma.f64 1/16 (pow.f64 b 2) (*.f64 1/48 (pow.f64 b 3))))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 (*.f64 -1/4 b) 1/2)
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/48 (pow.f64 b 3))))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/48 (pow.f64 b 3))))
(+.f64 (*.f64 1/48 (pow.f64 b 3)) (fma.f64 -1/4 b 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3)))))
(+.f64 1/2 (fma.f64 -1/4 b (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3)))))
(+.f64 (fma.f64 -1/4 b 1/2) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/480 (pow.f64 b 5))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 1/4 a)
(*.f64 -1/48 (pow.f64 a 3))
(*.f64 -1/48 (pow.f64 a 3))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 (pow.f64 b 2) 1/2)))
(+.f64 2 (fma.f64 (pow.f64 b 2) 1/2 b))
(+.f64 2 (+.f64 b (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 2 (+.f64 b (fma.f64 1/6 (pow.f64 b 3) (*.f64 (pow.f64 b 2) 1/2))))
(+.f64 2 (+.f64 (fma.f64 (pow.f64 b 2) 1/2 b) (*.f64 (pow.f64 b 3) 1/6)))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (*.f64 -1 b) (*.f64 -1/2 (pow.f64 b 2)))
(fma.f64 -1 b (*.f64 (pow.f64 b 2) -1/2))
(-.f64 (*.f64 (pow.f64 b 2) -1/2) b)
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1/2 (pow.f64 b 2)) (*.f64 -1/6 (pow.f64 b 3))))
(fma.f64 -1 b (fma.f64 -1/2 (pow.f64 b 2) (*.f64 (pow.f64 b 3) -1/6)))
(-.f64 (fma.f64 (pow.f64 b 2) -1/2 (*.f64 (pow.f64 b 3) -1/6)) b)
(+.f64 (*.f64 -1 b) (+.f64 (*.f64 -1/2 (pow.f64 b 2)) (+.f64 (*.f64 -1/6 (pow.f64 b 3)) (*.f64 -1/24 (pow.f64 b 4)))))
(fma.f64 -1 b (fma.f64 -1/2 (pow.f64 b 2) (fma.f64 -1/6 (pow.f64 b 3) (*.f64 -1/24 (pow.f64 b 4)))))
(-.f64 (fma.f64 (pow.f64 b 2) -1/2 (fma.f64 -1/24 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/6))) b)
(/.f64 -1 b)
(neg.f64 (+.f64 3/2 (/.f64 1 b)))
(+.f64 -3/2 (neg.f64 (/.f64 1 b)))
(+.f64 -3/2 (/.f64 -1 b))
(-.f64 (*.f64 -13/12 b) (+.f64 3/2 (/.f64 1 b)))
(-.f64 (*.f64 b -13/12) (+.f64 3/2 (/.f64 1 b)))
(+.f64 (fma.f64 b -13/12 -3/2) (/.f64 -1 b))
(-.f64 (+.f64 (*.f64 -13/12 b) (*.f64 -1/2 (pow.f64 b 2))) (+.f64 3/2 (/.f64 1 b)))
(-.f64 (fma.f64 -13/12 b (*.f64 (pow.f64 b 2) -1/2)) (+.f64 3/2 (/.f64 1 b)))
(fma.f64 b -13/12 (fma.f64 (pow.f64 b 2) -1/2 (+.f64 -3/2 (/.f64 -1 b))))
1
(+.f64 1 (*.f64 2 b))
(+.f64 1 (*.f64 b 2))
(fma.f64 b 2 1)
(+.f64 1 (+.f64 (*.f64 2 b) (*.f64 2 (pow.f64 b 2))))
(+.f64 1 (*.f64 2 (+.f64 b (pow.f64 b 2))))
(fma.f64 2 (+.f64 b (pow.f64 b 2)) 1)
(+.f64 1 (+.f64 (*.f64 4/3 (pow.f64 b 3)) (+.f64 (*.f64 2 b) (*.f64 2 (pow.f64 b 2)))))
(+.f64 1 (fma.f64 4/3 (pow.f64 b 3) (*.f64 2 (+.f64 b (pow.f64 b 2)))))
(+.f64 1 (fma.f64 2 (+.f64 b (pow.f64 b 2)) (*.f64 (pow.f64 b 3) 4/3)))
(+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 0)
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (*.f64 0 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(+.f64 0 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1)
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 4))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -2) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -2))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -4)
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 4))
(/.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 3) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) (-.f64 0 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 0))))
(/.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 3) (pow.f64 (+.f64 1 (exp.f64 b)) -4))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) 0) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 0))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 3))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(exp.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(exp.f64 (*.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))) 1))
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(fma.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 0)
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(pow.f64 (+.f64 1 (exp.f64 b)) -2)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 0)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (cbrt.f64 (/.f64 1 (+.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 (+.f64 1 (exp.f64 b)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -2)
(*.f64 (pow.f64 1 1/2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (-.f64 0 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0))))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 0) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1/2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(fabs.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (*.f64 -1 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (*.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))) 1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (*.f64 (*.f64 -1 (log1p.f64 (exp.f64 b))) 1))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(fma.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 0)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 0)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) 0)
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 0 (*.f64 -1/48 (pow.f64 a 3)))
(*.f64 -1/48 (pow.f64 a 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) 1)
(expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))
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(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(*.f64 (pow.f64 (exp.f64 b) 2) 1)
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (pow.f64 (exp.f64 b) 4)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (*.f64 (cbrt.f64 (exp.f64 b)) (exp.f64 b)))
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 4)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (pow.f64 (exp.f64 b) 4)))
(*.f64 (sqrt.f64 (exp.f64 b)) (*.f64 (sqrt.f64 (exp.f64 b)) (exp.f64 b)))
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(*.f64 (*.f64 (exp.f64 b) (sqrt.f64 (exp.f64 b))) (sqrt.f64 (exp.f64 b)))
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(*.f64 (*.f64 (exp.f64 b) (pow.f64 (cbrt.f64 (exp.f64 b)) 2)) (cbrt.f64 (exp.f64 b)))
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(/.f64 (pow.f64 (pow.f64 (exp.f64 b) 2) 3) (+.f64 (pow.f64 (exp.f64 b) 4) (-.f64 0 (*.f64 (pow.f64 (exp.f64 b) 2) 0))))
(/.f64 (pow.f64 (pow.f64 (exp.f64 b) 2) 3) (pow.f64 (exp.f64 b) 4))
(/.f64 (pow.f64 (pow.f64 (exp.f64 2) b) 3) (pow.f64 (exp.f64 b) 4))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 4) 0) (-.f64 (pow.f64 (exp.f64 b) 2) 0))
(/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (exp.f64 b) 2))
(/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (exp.f64 2) b))
(sqrt.f64 (pow.f64 (exp.f64 b) 4))
(fabs.f64 (pow.f64 (exp.f64 2) b))
(log.f64 (exp.f64 (pow.f64 (exp.f64 b) 2)))
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 b) 2))))
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 b) 2) 3))
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 b) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 2) b)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 b) 2)))
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(exp.f64 (*.f64 b 2))
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(exp.f64 (*.f64 (*.f64 b 2) 1))
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(fma.f64 1 (pow.f64 (exp.f64 b) 2) 0)
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(fma.f64 (exp.f64 b) (exp.f64 b) 0)
(pow.f64 (exp.f64 b) 2)
(pow.f64 (exp.f64 2) b)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 b) 4)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) 0)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (pow.f64 (exp.f64 b) 4)))

eval272.0ms (4.7%)

Compiler

Compiled 13767 to 9823 computations (28.6% saved)

prune132.0ms (2.3%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New6547661
Fresh213
Picked235
Done022
Total65813671
Accuracy
99.7%
Counts
671 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
51.4%
(/.f64 1 (/.f64 (expm1.f64 (*.f64 b 2)) (expm1.f64 b)))
30.3%
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 -1 b)))
17.0%
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (-.f64 (*.f64 b -13/12) (+.f64 3/2 (/.f64 1 b)))))
18.5%
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 -3/2 (/.f64 -1 b))))
15.6%
(/.f64 1 (-.f64 (/.f64 1 (neg.f64 b)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
38.2%
(/.f64 1 (+.f64 b 2))
83.8%
(/.f64 1 (+.f64 1 (exp.f64 b)))
39.4%
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
37.7%
(+.f64 1/2 (*.f64 b -1/4))
39.5%
(+.f64 1/2 (*.f64 a 1/4))
37.1%
(sqrt.f64 (+.f64 1/4 (*.f64 -1/4 b)))
39.5%
1/2
Compiler

Compiled 242 to 203 computations (16.1% saved)

localize454.0ms (7.9%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
99.9%
(pow.f64 (exp.f64 b) 2)
99.9%
(/.f64 1 (-.f64 (/.f64 1 (neg.f64 b)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
52.9%
(-.f64 1 (exp.f64 b))
52.2%
(-.f64 (/.f64 1 (neg.f64 b)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
100.0%
(/.f64 1 (-.f64 1 (exp.f64 b)))
100.0%
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 -3/2 (/.f64 -1 b))))
52.9%
(-.f64 1 (exp.f64 b))
52.6%
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 -3/2 (/.f64 -1 b)))
100.0%
(sqrt.f64 (+.f64 1/4 (*.f64 -1/4 b)))
100.0%
(/.f64 1 (/.f64 (expm1.f64 (*.f64 b 2)) (expm1.f64 b)))
100.0%
(/.f64 (expm1.f64 (*.f64 b 2)) (expm1.f64 b))
Compiler

Compiled 167 to 110 computations (34.1% saved)

series23.0ms (0.4%)

Counts
8 → 80
Calls

24 calls:

TimeVariablePointExpression
3.0ms
b
@0
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 -3/2 (/.f64 -1 b)))
1.0ms
b
@inf
(/.f64 1 (-.f64 (/.f64 1 (neg.f64 b)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
1.0ms
b
@inf
(/.f64 (expm1.f64 (*.f64 b 2)) (expm1.f64 b))
1.0ms
b
@-inf
(/.f64 1 (/.f64 (expm1.f64 (*.f64 b 2)) (expm1.f64 b)))
1.0ms
b
@inf
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 -3/2 (/.f64 -1 b))))

rewrite129.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
336×associate-*r*
248×frac-times
247×add0
242×log1p-expm1-u
240×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033290
1579280
Stop Event
node limit
Counts
8 → 338
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (*.f64 b 2)) (expm1.f64 b))
(/.f64 1 (/.f64 (expm1.f64 (*.f64 b 2)) (expm1.f64 b)))
(sqrt.f64 (+.f64 1/4 (*.f64 -1/4 b)))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 -3/2 (/.f64 -1 b)))
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 -3/2 (/.f64 -1 b))))
(/.f64 1 (-.f64 1 (exp.f64 b)))
(-.f64 (/.f64 1 (neg.f64 b)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 1 (-.f64 (/.f64 1 (neg.f64 b)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
Outputs
(+.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 1 (expm1.f64 b)))
(*.f64 (expm1.f64 (*.f64 2 b)) (/.f64 1 (expm1.f64 b)))
(*.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) 1)
(*.f64 1 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) 2) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 2 b))) (/.f64 1 (neg.f64 (expm1.f64 b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2)) (/.f64 (expm1.f64 (*.f64 2 b)) (cbrt.f64 (expm1.f64 b))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 b))) (/.f64 (expm1.f64 (*.f64 2 b)) (sqrt.f64 (expm1.f64 b))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 b)) 2)) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 2 b))) (expm1.f64 b)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 b)) 2)) (pow.f64 (cbrt.f64 (expm1.f64 b)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 b)) 2)) (sqrt.f64 (expm1.f64 b))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 2 b))) (sqrt.f64 (expm1.f64 b))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 b))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 b))) (expm1.f64 b)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 b))) (pow.f64 (cbrt.f64 (expm1.f64 b)) 2)) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 b))) (cbrt.f64 (expm1.f64 b))))
(pow.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) 1)
(pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b))) -1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) 2)
(neg.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (neg.f64 (expm1.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 2 b)) 3) (pow.f64 (expm1.f64 b) 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) 1))
(fma.f64 (expm1.f64 (*.f64 2 b)) (/.f64 1 (expm1.f64 b)) 0)
(fma.f64 1 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) 2) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) 0)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) 0)
(+.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b))) 0)
(+.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b))) (*.f64 (/.f64 1 (expm1.f64 (*.f64 2 b))) 0))
(+.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b))) (*.f64 0 (/.f64 1 (expm1.f64 (*.f64 2 b)))))
(+.f64 (*.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b))) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b))))) 1)
(-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 2 b))) (/.f64 1 (expm1.f64 (*.f64 2 b))))
(*.f64 (expm1.f64 b) (/.f64 1 (expm1.f64 (*.f64 2 b))))
(*.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b))))
(*.f64 -1 (/.f64 1 (/.f64 (expm1.f64 (*.f64 2 b)) (neg.f64 (expm1.f64 b)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) -2)) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))) (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 2 b))) (expm1.f64 b))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 2 b))) (pow.f64 (/.f64 1 (expm1.f64 b)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) -1) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 b)) 2))) (/.f64 (expm1.f64 b) (cbrt.f64 (expm1.f64 (*.f64 2 b)))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 2 b)))) (/.f64 (expm1.f64 b) (sqrt.f64 (expm1.f64 (*.f64 2 b)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 b)) (expm1.f64 (*.f64 2 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 b)) 2))) (/.f64 (cbrt.f64 (expm1.f64 b)) (cbrt.f64 (expm1.f64 (*.f64 2 b)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (sqrt.f64 (expm1.f64 (*.f64 2 b)))) (/.f64 (cbrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 (*.f64 2 b)))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) 1) (/.f64 (sqrt.f64 (expm1.f64 b)) (expm1.f64 (*.f64 2 b))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 b)) 2))) (/.f64 (sqrt.f64 (expm1.f64 b)) (cbrt.f64 (expm1.f64 (*.f64 2 b)))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 (*.f64 2 b)))) (/.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 (*.f64 2 b)))))
(*.f64 (*.f64 (/.f64 1 (expm1.f64 (*.f64 2 b))) 1) (expm1.f64 b))
(*.f64 (*.f64 (/.f64 1 (expm1.f64 (*.f64 2 b))) (pow.f64 (cbrt.f64 (expm1.f64 b)) 2)) (cbrt.f64 (expm1.f64 b)))
(*.f64 (*.f64 (/.f64 1 (expm1.f64 (*.f64 2 b))) (sqrt.f64 (expm1.f64 b))) (sqrt.f64 (expm1.f64 b)))
(pow.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) -1)
(pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b))) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))) 2)
(neg.f64 (/.f64 -1 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b))))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b))) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 b) 3) (pow.f64 (expm1.f64 (*.f64 2 b)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))) 1))
(exp.f64 (-.f64 (log.f64 (expm1.f64 b)) (log.f64 (expm1.f64 (*.f64 2 b)))))
(fma.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) -2)) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))) 0)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))) (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))) 0)
(fma.f64 (/.f64 1 (expm1.f64 (*.f64 2 b))) (expm1.f64 b) 0)
(+.f64 (sqrt.f64 (fma.f64 -1/4 b 1/4)) 0)
(+.f64 (*.f64 (sqrt.f64 (fma.f64 -1/4 b 1/4)) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 -1/4 b 1/4)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 -1/4 b 1/4)))
(*.f64 (cbrt.f64 (fma.f64 -1/4 b 1/4)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/4 b 1/4))))
(*.f64 (pow.f64 (fma.f64 -1/4 b 1/4) 1/4) (pow.f64 (fma.f64 -1/4 b 1/4) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 -1/4 b 1/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 b 1/4)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -1/4 b 1/4)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 b 1/4)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -1/4 b 1/4))))
(/.f64 (fma.f64 -1/4 b 1/4) (-.f64 (sqrt.f64 (fma.f64 -1/4 b 1/4)) 0))
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(sqrt.f64 (-.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))))
(log.f64 (exp.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 b)) (exp.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 1))
(fma.f64 1 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 1 (/.f64 1 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(fma.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 0)
(fma.f64 -1 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 -1 (/.f64 1 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 0)
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 0)
(+.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 0)
(+.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(*.f64 -1 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(*.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -1))
(pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1)
(pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2) 2)
(neg.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))) 1))
(fma.f64 1 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))) 0)
(fma.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2) 0)

simplify216.0ms (3.7%)

Algorithm
egg-herbie
Rules
1558×fma-define
1058×add0
1004×distribute-rgt-in
912×distribute-lft-in
394×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089323389
1302122474
Stop Event
node limit
Counts
418 → 573
Calls
Call 1
Inputs
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2)))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/48 (pow.f64 b 3))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3)))))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 -1/16 (pow.f64 b 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/16 (pow.f64 b 2)) (*.f64 -1/32 (pow.f64 b 3)))))
2
(+.f64 2 (*.f64 -1/12 b))
(+.f64 2 (+.f64 (*.f64 -1/12 b) (*.f64 1/720 (pow.f64 b 3))))
(+.f64 2 (+.f64 (*.f64 -1/12 b) (+.f64 (*.f64 -1/30240 (pow.f64 b 5)) (*.f64 1/720 (pow.f64 b 3)))))
(+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))
(+.f64 3/2 (+.f64 (/.f64 1 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 3/2 (+.f64 (/.f64 1 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 3/2 (+.f64 (/.f64 1 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))
(+.f64 3/2 (+.f64 (/.f64 1 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 3/2 (+.f64 (/.f64 1 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 3/2 (+.f64 (/.f64 1 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
1/2
(+.f64 1/2 (*.f64 1/48 b))
(+.f64 1/2 (+.f64 (*.f64 1/1152 (pow.f64 b 2)) (*.f64 1/48 b)))
(+.f64 1/2 (+.f64 (*.f64 -43/138240 (pow.f64 b 3)) (+.f64 (*.f64 1/1152 (pow.f64 b 2)) (*.f64 1/48 b))))
(/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))
(-.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))) (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))) (+.f64 (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))) (/.f64 1 (*.f64 (pow.f64 b 3) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 4)))))
(/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))
(-.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))) (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))) (+.f64 (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))) (/.f64 1 (*.f64 (pow.f64 b 3) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 4)))))
(/.f64 -1 b)
(-.f64 1/2 (/.f64 1 b))
(-.f64 (+.f64 1/2 (*.f64 -1/12 b)) (/.f64 1 b))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/12 b) (*.f64 1/720 (pow.f64 b 3)))) (/.f64 1 b))
3/2
(+.f64 3/2 (*.f64 13/12 b))
(+.f64 3/2 (+.f64 (*.f64 1/2 (pow.f64 b 2)) (*.f64 13/12 b)))
(+.f64 3/2 (+.f64 (*.f64 119/720 (pow.f64 b 3)) (+.f64 (*.f64 1/2 (pow.f64 b 2)) (*.f64 13/12 b))))
(*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (/.f64 1 b))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (/.f64 1 b))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (/.f64 1 b))
(*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (/.f64 1 b))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (/.f64 1 b))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (/.f64 1 b))
2/3
(+.f64 2/3 (*.f64 -13/27 b))
(+.f64 2/3 (+.f64 (*.f64 -13/27 b) (*.f64 61/486 (pow.f64 b 2))))
(+.f64 2/3 (+.f64 (*.f64 -13/27 b) (+.f64 (*.f64 -79/21870 (pow.f64 b 3)) (*.f64 61/486 (pow.f64 b 2)))))
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 3) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 b) 6)))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 3) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 b) 6)))) (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 4) (*.f64 (pow.f64 b 3) (pow.f64 (exp.f64 b) 8))))))
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 3) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 b) 6)))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 3) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 b) 6)))) (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 4) (*.f64 (pow.f64 b 3) (pow.f64 (exp.f64 b) 8))))))
(+.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 1 (expm1.f64 b)))
(*.f64 (expm1.f64 (*.f64 2 b)) (/.f64 1 (expm1.f64 b)))
(*.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)) 1)
(*.f64 1 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) 2) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 2 b))) (/.f64 1 (neg.f64 (expm1.f64 b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2)) (/.f64 (expm1.f64 (*.f64 2 b)) (cbrt.f64 (expm1.f64 b))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 b))) (/.f64 (expm1.f64 (*.f64 2 b)) (sqrt.f64 (expm1.f64 b))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 b)) 2)) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 2 b))) (expm1.f64 b)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 b)) 2)) (pow.f64 (cbrt.f64 (expm1.f64 b)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 b)) 2)) (sqrt.f64 (expm1.f64 b))) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 2 b))) (sqrt.f64 (expm1.f64 b))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 b))) 1) (/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 b))) (expm1.f64 b)))
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(*.f64 (-.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(*.f64 (+.f64 (-.f64 1 (exp.f64 b)) (*.f64 b (pow.f64 (exp.f64 b) 2))) (/.f64 1 (*.f64 b (-.f64 1 (exp.f64 b)))))
(*.f64 (-.f64 (pow.f64 b -3) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))) (/.f64 (pow.f64 (exp.f64 b) 2) (*.f64 b (-.f64 1 (exp.f64 b)))))))
(*.f64 (+.f64 (pow.f64 b -1/2) (/.f64 (exp.f64 b) (sqrt.f64 (-.f64 1 (exp.f64 b))))) (-.f64 (pow.f64 b -1/2) (/.f64 (exp.f64 b) (sqrt.f64 (-.f64 1 (exp.f64 b))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 2)) (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))) (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(/.f64 1 (/.f64 (*.f64 b (-.f64 1 (exp.f64 b))) (+.f64 (-.f64 1 (exp.f64 b)) (*.f64 b (pow.f64 (exp.f64 b) 2)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))) (/.f64 (pow.f64 (exp.f64 b) 2) (*.f64 b (-.f64 1 (exp.f64 b))))) (-.f64 (pow.f64 b -3) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 3))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (-.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2)))))
(/.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 1)
(/.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1)
(/.f64 (-.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(/.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 3) (+.f64 (-.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))) (-.f64 0 (*.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 0))))
(/.f64 (+.f64 (-.f64 1 (exp.f64 b)) (*.f64 b (pow.f64 (exp.f64 b) 2))) (*.f64 b (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 b -3) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 3)) (+.f64 (+.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))) (/.f64 (pow.f64 (exp.f64 b) 2) (*.f64 b (-.f64 1 (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 b -3) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 3)) (neg.f64 (+.f64 (+.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))) (/.f64 (pow.f64 (exp.f64 b) 2) (*.f64 b (-.f64 1 (exp.f64 b)))))))
(/.f64 (+.f64 (neg.f64 (-.f64 1 (exp.f64 b))) (*.f64 b (neg.f64 (pow.f64 (exp.f64 b) 2)))) (*.f64 b (neg.f64 (-.f64 1 (exp.f64 b)))))
(/.f64 (+.f64 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2)) b) (*.f64 b (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))) b) (*.f64 b (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 (*.f64 -1 (neg.f64 (-.f64 1 (exp.f64 b)))) (*.f64 b (neg.f64 (pow.f64 (exp.f64 b) 2)))) (*.f64 b (neg.f64 (-.f64 1 (exp.f64 b)))))
(/.f64 (+.f64 (neg.f64 (-.f64 1 (exp.f64 b))) (*.f64 b (pow.f64 (exp.f64 b) 2))) (*.f64 b (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 (neg.f64 (-.f64 1 (exp.f64 b))) (*.f64 b (neg.f64 (pow.f64 (exp.f64 b) 2)))) (*.f64 b (neg.f64 (-.f64 1 (exp.f64 b)))))
(/.f64 (-.f64 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2)) b) (*.f64 b (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))) b) (*.f64 b (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (-.f64 1 (exp.f64 b)))) (*.f64 b (neg.f64 (pow.f64 (exp.f64 b) 2)))) (*.f64 b (neg.f64 (-.f64 1 (exp.f64 b)))))
(/.f64 (-.f64 (neg.f64 (-.f64 1 (exp.f64 b))) (*.f64 b (pow.f64 (exp.f64 b) 2))) (*.f64 b (-.f64 1 (exp.f64 b))))
(/.f64 (neg.f64 (+.f64 (-.f64 1 (exp.f64 b)) (*.f64 b (pow.f64 (exp.f64 b) 2)))) (*.f64 b (-.f64 1 (exp.f64 b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b -3) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 3))) (+.f64 (+.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))) (/.f64 (pow.f64 (exp.f64 b) 2) (*.f64 b (-.f64 1 (exp.f64 b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b -3) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 3))) (neg.f64 (+.f64 (+.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))) (/.f64 (pow.f64 (exp.f64 b) 2) (*.f64 b (-.f64 1 (exp.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2)))) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(/.f64 (+.f64 (pow.f64 b -3) (pow.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) 3)) (+.f64 (pow.f64 b -2) (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))) (*.f64 (/.f64 1 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))))
(/.f64 (+.f64 (pow.f64 b -3) (pow.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) 3)) (+.f64 (pow.f64 b -2) (-.f64 (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 (exp.f64 b) 2) (*.f64 b (-.f64 1 (exp.f64 b)))))))
(/.f64 (-.f64 (pow.f64 b -2) (*.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))) (-.f64 (/.f64 1 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))
(/.f64 (-.f64 (-.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))) 0) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 2)
(neg.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(sqrt.f64 (-.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))))
(log.f64 (exp.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 b)) (exp.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 1))
(fma.f64 1 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 1 (/.f64 1 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(fma.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 0)
(fma.f64 -1 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 -1 (/.f64 1 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 0)
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 0)
(+.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 0)
(+.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 1) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(*.f64 -1 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(*.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -1))
(pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1)
(pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2) 2)
(neg.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))) 1))
(fma.f64 1 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))) 0)
(fma.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2) 0)
Outputs
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (fma.f64 1/2 (pow.f64 b 2) b))
(+.f64 2 (+.f64 b (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 2 (+.f64 b (fma.f64 1/6 (pow.f64 b 3) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (+.f64 2 b) (fma.f64 1/2 (pow.f64 b 2) (*.f64 1/6 (pow.f64 b 3))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))
(/.f64 (-.f64 (exp.f64 (*.f64 2 b)) 1) (-.f64 (exp.f64 b) 1))
(/.f64 (expm1.f64 (*.f64 2 b)) (expm1.f64 b))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/48 (pow.f64 b 3))))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 (pow.f64 b 3) 1/48)))
(+.f64 (fma.f64 b -1/4 1/2) (*.f64 (pow.f64 b 3) 1/48))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3)))))
(+.f64 1/2 (fma.f64 -1/4 b (fma.f64 -1/480 (pow.f64 b 5) (*.f64 (pow.f64 b 3) 1/48))))
(+.f64 (fma.f64 b -1/4 1/2) (fma.f64 (pow.f64 b 3) 1/48 (*.f64 -1/480 (pow.f64 b 5))))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 -1/16 (pow.f64 b 2))))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 (pow.f64 b 2) -1/16)))
(+.f64 (fma.f64 b -1/4 1/2) (*.f64 (pow.f64 b 2) -1/16))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/16 (pow.f64 b 2)) (*.f64 -1/32 (pow.f64 b 3)))))
(+.f64 1/2 (fma.f64 -1/4 b (fma.f64 -1/16 (pow.f64 b 2) (*.f64 (pow.f64 b 3) -1/32))))
(+.f64 (fma.f64 b -1/4 1/2) (fma.f64 (pow.f64 b 3) -1/32 (*.f64 (pow.f64 b 2) -1/16)))
2
(+.f64 2 (*.f64 -1/12 b))
(+.f64 2 (*.f64 b -1/12))
(fma.f64 b -1/12 2)
(+.f64 2 (+.f64 (*.f64 -1/12 b) (*.f64 1/720 (pow.f64 b 3))))
(+.f64 2 (fma.f64 -1/12 b (*.f64 (pow.f64 b 3) 1/720)))
(+.f64 (fma.f64 b -1/12 2) (*.f64 (pow.f64 b 3) 1/720))
(+.f64 2 (+.f64 (*.f64 -1/12 b) (+.f64 (*.f64 -1/30240 (pow.f64 b 5)) (*.f64 1/720 (pow.f64 b 3)))))
(+.f64 2 (fma.f64 -1/12 b (fma.f64 -1/30240 (pow.f64 b 5) (*.f64 (pow.f64 b 3) 1/720))))
(+.f64 (fma.f64 b -1/12 2) (fma.f64 (pow.f64 b 3) 1/720 (*.f64 (pow.f64 b 5) -1/30240)))
(+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))
(+.f64 3/2 (+.f64 (/.f64 1 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 3/2 (/.f64 1 b)))
(+.f64 3/2 (-.f64 (/.f64 1 b) (/.f64 -1 (-.f64 1 (exp.f64 b)))))
(+.f64 3/2 (+.f64 (/.f64 1 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 3/2 (/.f64 1 b)))
(+.f64 3/2 (-.f64 (/.f64 1 b) (/.f64 -1 (-.f64 1 (exp.f64 b)))))
(+.f64 3/2 (+.f64 (/.f64 1 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 3/2 (/.f64 1 b)))
(+.f64 3/2 (-.f64 (/.f64 1 b) (/.f64 -1 (-.f64 1 (exp.f64 b)))))
(+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))
(+.f64 3/2 (+.f64 (/.f64 1 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 3/2 (/.f64 1 b)))
(+.f64 3/2 (-.f64 (/.f64 1 b) (/.f64 -1 (-.f64 1 (exp.f64 b)))))
(+.f64 3/2 (+.f64 (/.f64 1 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 3/2 (/.f64 1 b)))
(+.f64 3/2 (-.f64 (/.f64 1 b) (/.f64 -1 (-.f64 1 (exp.f64 b)))))
(+.f64 3/2 (+.f64 (/.f64 1 b) (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 3/2 (/.f64 1 b)))
(+.f64 3/2 (-.f64 (/.f64 1 b) (/.f64 -1 (-.f64 1 (exp.f64 b)))))
1/2
(+.f64 1/2 (*.f64 1/48 b))
(+.f64 1/2 (*.f64 b 1/48))
(fma.f64 b 1/48 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/1152 (pow.f64 b 2)) (*.f64 1/48 b)))
(+.f64 1/2 (fma.f64 1/1152 (pow.f64 b 2) (*.f64 b 1/48)))
(+.f64 1/2 (fma.f64 (pow.f64 b 2) 1/1152 (*.f64 b 1/48)))
(+.f64 1/2 (+.f64 (*.f64 -43/138240 (pow.f64 b 3)) (+.f64 (*.f64 1/1152 (pow.f64 b 2)) (*.f64 1/48 b))))
(+.f64 1/2 (fma.f64 -43/138240 (pow.f64 b 3) (fma.f64 1/1152 (pow.f64 b 2) (*.f64 b 1/48))))
(+.f64 1/2 (fma.f64 (pow.f64 b 3) -43/138240 (fma.f64 (pow.f64 b 2) 1/1152 (*.f64 b 1/48))))
(/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))
(-.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))))
(+.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (/.f64 -1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))) (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (-.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2)))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (+.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (/.f64 -1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))) (+.f64 (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))) (/.f64 1 (*.f64 (pow.f64 b 3) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 4)))))
(-.f64 (+.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3)))) (+.f64 (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))) (/.f64 1 (*.f64 (pow.f64 b 3) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 4)))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (-.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (+.f64 (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))) (/.f64 (/.f64 1 (pow.f64 b 3)) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 4)))))
(/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))
(-.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))))
(+.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (/.f64 -1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))) (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (-.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2)))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (+.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (/.f64 -1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))) (+.f64 (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))) (/.f64 1 (*.f64 (pow.f64 b 3) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 4)))))
(-.f64 (+.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3)))) (+.f64 (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))) (/.f64 1 (*.f64 (pow.f64 b 3) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 4)))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 b 2) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 3))) (-.f64 (/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b))))) (+.f64 (/.f64 1 (*.f64 b (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 2))) (/.f64 (/.f64 1 (pow.f64 b 3)) (pow.f64 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))) 4)))))
(/.f64 -1 b)
(-.f64 1/2 (/.f64 1 b))
(+.f64 1/2 (/.f64 -1 b))
(-.f64 (+.f64 1/2 (*.f64 -1/12 b)) (/.f64 1 b))
(+.f64 1/2 (-.f64 (*.f64 b -1/12) (/.f64 1 b)))
(+.f64 (fma.f64 b -1/12 1/2) (/.f64 -1 b))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/12 b) (*.f64 1/720 (pow.f64 b 3)))) (/.f64 1 b))
(+.f64 1/2 (-.f64 (fma.f64 -1/12 b (*.f64 (pow.f64 b 3) 1/720)) (/.f64 1 b)))
(+.f64 1/2 (+.f64 (fma.f64 b -1/12 (*.f64 (pow.f64 b 3) 1/720)) (/.f64 -1 b)))
3/2
(+.f64 3/2 (*.f64 13/12 b))
(+.f64 3/2 (*.f64 b 13/12))
(fma.f64 b 13/12 3/2)
(+.f64 3/2 (+.f64 (*.f64 1/2 (pow.f64 b 2)) (*.f64 13/12 b)))
(+.f64 3/2 (fma.f64 1/2 (pow.f64 b 2) (*.f64 b 13/12)))
(+.f64 3/2 (fma.f64 b 13/12 (*.f64 1/2 (pow.f64 b 2))))
(+.f64 3/2 (+.f64 (*.f64 119/720 (pow.f64 b 3)) (+.f64 (*.f64 1/2 (pow.f64 b 2)) (*.f64 13/12 b))))
(+.f64 3/2 (fma.f64 119/720 (pow.f64 b 3) (fma.f64 1/2 (pow.f64 b 2) (*.f64 b 13/12))))
(+.f64 3/2 (fma.f64 (pow.f64 b 3) 119/720 (fma.f64 b 13/12 (*.f64 1/2 (pow.f64 b 2)))))
(*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (/.f64 1 b))
(-.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) (/.f64 1 b))
(-.f64 (/.f64 -1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (/.f64 1 b))
(-.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) (/.f64 1 b))
(-.f64 (/.f64 -1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (/.f64 1 b))
(-.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) (/.f64 1 b))
(-.f64 (/.f64 -1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (/.f64 1 b))
(-.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) (/.f64 1 b))
(-.f64 (/.f64 -1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (/.f64 1 b))
(-.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) (/.f64 1 b))
(-.f64 (/.f64 -1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(-.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) (/.f64 1 b))
(-.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) (/.f64 1 b))
(-.f64 (/.f64 -1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
2/3
(+.f64 2/3 (*.f64 -13/27 b))
(+.f64 2/3 (*.f64 b -13/27))
(fma.f64 b -13/27 2/3)
(+.f64 2/3 (+.f64 (*.f64 -13/27 b) (*.f64 61/486 (pow.f64 b 2))))
(+.f64 2/3 (fma.f64 -13/27 b (*.f64 (pow.f64 b 2) 61/486)))
(+.f64 2/3 (fma.f64 (pow.f64 b 2) 61/486 (*.f64 b -13/27)))
(+.f64 2/3 (+.f64 (*.f64 -13/27 b) (+.f64 (*.f64 -79/21870 (pow.f64 b 3)) (*.f64 61/486 (pow.f64 b 2)))))
(+.f64 2/3 (fma.f64 -13/27 b (fma.f64 -79/21870 (pow.f64 b 3) (*.f64 (pow.f64 b 2) 61/486))))
(+.f64 (fma.f64 b -13/27 2/3) (fma.f64 (pow.f64 b 2) 61/486 (*.f64 (pow.f64 b 3) -79/21870)))
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2)))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 b))) (pow.f64 (exp.f64 b) 2))
(/.f64 (-.f64 1 (exp.f64 b)) (neg.f64 (pow.f64 (exp.f64 b) 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4))))
(fma.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2)) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4))))
(-.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4))) (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 3) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 b) 6)))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4)))))
(fma.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 3) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 b) 6))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4)))))
(-.f64 (-.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 3) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 b) 6)))) (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 3) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 b) 6)))) (+.f64 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 4) (*.f64 (pow.f64 b 3) (pow.f64 (exp.f64 b) 8))))))
(fma.f64 -1 (/.f64 (-.f64 1 (exp.f64 b)) (pow.f64 (exp.f64 b) 2)) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 3) (*.f64 (pow.f64 b 2) (pow.f64 (exp.f64 b) 6))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 2) (*.f64 b (pow.f64 (exp.f64 b) 4)))) (/.f64 (pow.f64 (-.f64 1 (exp.f64 b)) 4) (*.f64 (pow.f64 b 3) (pow.f64 (exp.f64 b) 8)))))
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(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(neg.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(-.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) (/.f64 1 b))
(-.f64 (/.f64 -1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(sqrt.f64 (-.f64 (pow.f64 b -2) (/.f64 (pow.f64 (exp.f64 b) 4) (pow.f64 (-.f64 1 (exp.f64 b)) 2))))
(log.f64 (exp.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 b)) (exp.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(log.f64 (/.f64 1 (exp.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(-.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) (/.f64 1 b))
(-.f64 (/.f64 -1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 3))
(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 1))
(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 1 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 1 (/.f64 1 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(-.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) 0)
(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 -1 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(+.f64 (/.f64 -1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 -1 (/.f64 1 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(-.f64 (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))) (/.f64 1 b))
(-.f64 (/.f64 -1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 0)
(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 b) (/.f64 (neg.f64 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b))))
(-.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 0)
(+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 0)
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 1) 0)
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(*.f64 1 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(*.f64 -1 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(/.f64 -1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(/.f64 1 (-.f64 (/.f64 -1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -2)) (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(*.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2))
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -1))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -2)
(pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1)
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 1)
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))) 3)
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 3) 1/3)
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2) 2)
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(neg.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(/.f64 -1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(/.f64 1 (-.f64 (/.f64 -1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))))
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 3))
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) -1))
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))) 1))
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(fma.f64 1 (/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))) 0)
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))) 0)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -2)) (cbrt.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))
(fma.f64 (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2) (pow.f64 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))) -1/2) 0)
(/.f64 1 (+.f64 (/.f64 1 b) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))

eval439.0ms (7.6%)

Compiler

Compiled 21903 to 15900 computations (27.4% saved)

prune170.0ms (2.9%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New9499958
Fresh213
Picked325
Done055
Total95417971
Accuracy
99.8%
Counts
971 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.4%
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))
66.5%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
11.1%
(/.f64 1 (/.f64 (+.f64 (+.f64 3/2 (/.f64 1 b)) (*.f64 (-.f64 1 (exp.f64 b)) (+.f64 (pow.f64 b -2) 9/4))) (*.f64 (-.f64 1 (exp.f64 b)) (+.f64 3/2 (/.f64 -1 b)))))
18.2%
(/.f64 1 (-.f64 (/.f64 1 (neg.f64 b)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (*.f64 (pow.f64 b 2) -1/2) b))))
18.4%
(/.f64 1 (+.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 3/2 (/.f64 -1 b))))
38.2%
(/.f64 1 (+.f64 b 2))
18.4%
(/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))
10.5%
(/.f64 1 (+.f64 3/2 (*.f64 b 13/12)))
83.8%
(/.f64 1 (+.f64 1 (exp.f64 b)))
9.9%
(+.f64 2/3 (*.f64 b -13/27))
39.4%
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
36.6%
(+.f64 1/2 (*.f64 b 1/48))
37.7%
(+.f64 1/2 (*.f64 b -1/4))
39.5%
(+.f64 1/2 (*.f64 a 1/4))
37.1%
(sqrt.f64 (+.f64 1/4 (*.f64 -1/4 b)))
12.3%
2/3
39.5%
1/2
Compiler

Compiled 450 to 346 computations (23.1% saved)

regimes44.0ms (0.8%)

Counts
28 → 1
Calls
Call 1
Inputs
1/2
2/3
(+.f64 1/2 (*.f64 a 1/4))
(+.f64 1/2 (*.f64 b -1/4))
(+.f64 1/2 (*.f64 b 1/48))
(+.f64 2/3 (*.f64 b -13/27))
(/.f64 1 (+.f64 2 b))
(/.f64 1 (+.f64 b 2))
(/.f64 1 (+.f64 3/2 (*.f64 b 13/12)))
(sqrt.f64 (+.f64 1/4 (*.f64 -1/4 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 -1 b)))
(/.f64 1 (+.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 3/2 (/.f64 -1 b))))
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 -3/2 (/.f64 -1 b))))
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (-.f64 (*.f64 b -13/12) (+.f64 3/2 (/.f64 1 b)))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))
(/.f64 1 (/.f64 (expm1.f64 (*.f64 b 2)) (expm1.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2)))
(/.f64 1 (-.f64 (/.f64 1 (neg.f64 b)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(/.f64 1 (-.f64 (/.f64 1 (neg.f64 b)) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (*.f64 (pow.f64 b 2) -1/2) b))))
(/.f64 1 (/.f64 (+.f64 (+.f64 3/2 (/.f64 1 b)) (*.f64 (-.f64 1 (exp.f64 b)) (+.f64 (pow.f64 b -2) 9/4))) (*.f64 (-.f64 1 (exp.f64 b)) (+.f64 3/2 (/.f64 -1 b)))))
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))
(/.f64 (exp.f64 a) (expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

14.0ms
b
14.0ms
a
7.0ms
(exp.f64 a)
4.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1(exp.f64 a)
98.8%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes66.0ms (1.1%)

Counts
21 → 2
Calls
Call 1
Inputs
1/2
2/3
(+.f64 1/2 (*.f64 a 1/4))
(+.f64 1/2 (*.f64 b -1/4))
(+.f64 1/2 (*.f64 b 1/48))
(+.f64 2/3 (*.f64 b -13/27))
(/.f64 1 (+.f64 2 b))
(/.f64 1 (+.f64 b 2))
(/.f64 1 (+.f64 3/2 (*.f64 b 13/12)))
(sqrt.f64 (+.f64 1/4 (*.f64 -1/4 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 -1 b)))
(/.f64 1 (+.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 3/2 (/.f64 -1 b))))
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 -3/2 (/.f64 -1 b))))
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (-.f64 (*.f64 b -13/12) (+.f64 3/2 (/.f64 1 b)))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 2 b)))
(/.f64 1 (/.f64 (expm1.f64 (*.f64 b 2)) (expm1.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
Outputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

32.0ms
b
20.0ms
a
7.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.0%2a
99.4%3b
99.0%2(exp.f64 a)
99.4%3(exp.f64 b)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes56.0ms (1%)

Counts
17 → 1
Calls
Call 1
Inputs
1/2
2/3
(+.f64 1/2 (*.f64 a 1/4))
(+.f64 1/2 (*.f64 b -1/4))
(+.f64 1/2 (*.f64 b 1/48))
(+.f64 2/3 (*.f64 b -13/27))
(/.f64 1 (+.f64 2 b))
(/.f64 1 (+.f64 b 2))
(/.f64 1 (+.f64 3/2 (*.f64 b 13/12)))
(sqrt.f64 (+.f64 1/4 (*.f64 -1/4 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 3/2 (/.f64 1 (-.f64 1 (exp.f64 b)))))
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 -1 b)))
(/.f64 1 (+.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 3/2 (/.f64 -1 b))))
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (+.f64 -3/2 (/.f64 -1 b))))
(/.f64 1 (-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (-.f64 (*.f64 b -13/12) (+.f64 3/2 (/.f64 1 b)))))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

3 calls:

42.0ms
a
10.0ms
b
3.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
83.8%1b
83.8%1(exp.f64 b)
89.6%5a
Compiler

Compiled 10 to 7 computations (30% saved)

regimes14.0ms (0.2%)

Accuracy

Total -20.0b remaining (-51.6%)

Threshold costs -20b (-51.6%)

Counts
10 → 1
Calls
Call 1
Inputs
1/2
2/3
(+.f64 1/2 (*.f64 a 1/4))
(+.f64 1/2 (*.f64 b -1/4))
(+.f64 1/2 (*.f64 b 1/48))
(+.f64 2/3 (*.f64 b -13/27))
(/.f64 1 (+.f64 2 b))
(/.f64 1 (+.f64 b 2))
(/.f64 1 (+.f64 3/2 (*.f64 b 13/12)))
(sqrt.f64 (+.f64 1/4 (*.f64 -1/4 b)))
Outputs
1/2
Calls

2 calls:

7.0ms
b
6.0ms
a
Results
AccuracySegmentsBranch
39.5%1a
39.5%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.3174509565577215e-128
8.599451060962535e-120
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×+-commutative
10×add0
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024118
142118
252118
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 2438866054934369/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
1/2
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 2438866054934369/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 2438866054934369/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 (exp.f64 b) 1))
1/2
Compiler

Compiled 41 to 30 computations (26.8% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess51.0ms (0.9%)

Compiler

Compiled 110 to 70 computations (36.4% saved)

Profiling

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