Quotient of sum of exps

Time bar (total: 3.5s)

analyze10.0ms (0.3%)

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)

sample1.1s (30.6%)

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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0.0ms256unsamplable
3.0ms256valid
0.0ms256valid
0.0ms256unsamplable
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0.0ms256valid
0.0ms256unsamplable
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0.0ms256unsamplable
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0.0ms256unsamplable
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0.0ms256unsamplable
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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0.0ms256unsamplable
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0.0ms256unsamplable
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2.0ms256unsamplable
0.0ms256valid
0.0ms256valid
Bogosity

preprocess202.0ms (5.8%)

Algorithm
egg-herbie
Rules
1794×fma-neg
1410×unswap-sqr
1132×fma-define
1052×times-frac
668×distribute-lft-neg-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(/.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
148268
286266
3165266
4353238
5855238
62233238
74882238
86815238
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 (+.f64 1 (exp.f64 (+.f64 a b))))
(/.f64 1 (fma.f64 (exp.f64 a) (exp.f64 b) 1))
(/.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 (-.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
99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize42.0ms (1.2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 22 to 7 computations (68.2% saved)

series13.0ms (0.4%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
6.0ms
a
@inf
(/.f64 (exp.f64 a) (+.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
b
@-inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite234.0ms (6.7%)

Algorithm
batch-egg-rewrite
Rules
1260×unpow-prod-down
970×prod-diff
699×log1p-expm1-u
699×expm1-log1p-u
692×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
113634
2187134
Stop Event
node limit
Counts
1 → 90
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(+.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 (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 (exp.f64 a) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(*.f64 (exp.f64 a) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.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 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/3))
(*.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 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(*.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 (exp.f64 a)) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(*.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.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 (neg.f64 (exp.f64 a)) (pow.f64 (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (/.f64 1 (exp.f64 a)) -1))
(*.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 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) -1))
(*.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 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (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) (exp.f64 (*.f64 b 2)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (pow.f64 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (pow.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (pow.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) 1) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (*.f64 b 2)))) 1) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/3) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (*.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))))) 1/3) (pow.f64 (*.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))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (exp.f64 a)) 1/3) (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) 1/3) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) -1) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) -1) (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (exp.f64 a))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (exp.f64 a))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (exp.f64 a))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))) -1))
(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)
(pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1) -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))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) -1))

simplify101.0ms (2.9%)

Algorithm
egg-herbie
Rules
1856×fma-define
1376×times-frac
542×sqr-pow
466×distribute-lft-neg-in
454×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03376155
18925978
232035891
Stop Event
node limit
Counts
98 → 145
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 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 (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 (exp.f64 a) (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(*.f64 (exp.f64 a) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.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 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/3))
(*.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 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(*.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 (exp.f64 a)) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(*.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.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 (neg.f64 (exp.f64 a)) (pow.f64 (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (/.f64 1 (exp.f64 a)) -1))
(*.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 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) -1))
(*.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 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (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) (exp.f64 (*.f64 b 2)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (pow.f64 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (pow.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) (pow.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) 1) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(*.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (*.f64 b 2)))) 1) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/3) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (*.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))))) 1/3) (pow.f64 (*.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))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (exp.f64 a)) 1/3) (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) 1/3) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) -1) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) -1) (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))) -1))
(*.f64 (pow.f64 (/.f64 1 (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (exp.f64 a))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (exp.f64 a))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (exp.f64 a))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))) -1))
(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)
(pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1) -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))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) -1))
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)))))
(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))) (/.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)))))
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(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))) -1))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a))) -2)
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1) -1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(neg.f64 (/.f64 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(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 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 3 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1/3))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) -1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

eval50.0ms (1.4%)

Compiler

Compiled 3803 to 1629 computations (57.2% saved)

prune23.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1414145
Fresh000
Picked011
Done000
Total1415146
Accuracy
100.0%
Counts
146 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a))) -2)
99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
67.7%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
83.3%
(/.f64 1 (+.f64 1 (exp.f64 b)))
99.2%
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
Compiler

Compiled 53 to 37 computations (30.2% saved)

localize238.0ms (6.8%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
100.0%
(/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a)))
99.4%
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a))) -2)
100.0%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
100.0%
(/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
100.0%
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
Compiler

Compiled 104 to 32 computations (69.2% saved)

series49.0ms (1.4%)

Counts
6 → 108
Calls

33 calls:

TimeVariablePointExpression
6.0ms
b
@inf
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a))) -2)
5.0ms
a
@0
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a))) -2)
4.0ms
b
@0
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a))) -2)
3.0ms
a
@0
(/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a)))
3.0ms
a
@inf
(/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite168.0ms (4.8%)

Algorithm
batch-egg-rewrite
Rules
1936×prod-diff
1002×log1p-expm1-u
188×associate-*r*
143×add-exp-log
143×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022185
1341183
24539183
Stop Event
node limit
Counts
6 → 207
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a))) -2)
(/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (exp.f64 a) -1) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) -2)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(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)
(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 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3) (pow.f64 (exp.f64 a) 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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 1 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1))
(*.f64 (/.f64 1 (+.f64 (exp.f64 (*.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 1 (+.f64 (exp.f64 (*.f64 b 3)) (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))) (-.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (/.f64 1 (-.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) (exp.f64 b)) -1)
(pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) 2)
(neg.f64 (/.f64 -1 (+.f64 (exp.f64 a) (exp.f64 b))))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(-.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 (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 (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 (-.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 (+.f64 -1 (neg.f64 (exp.f64 a)))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (exp.f64 a))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (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 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 (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (exp.f64 a) (hypot.f64 1 (sqrt.f64 (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 (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) (hypot.f64 1 (sqrt.f64 (exp.f64 a)))) (/.f64 (cbrt.f64 (exp.f64 a)) (hypot.f64 1 (sqrt.f64 (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) (+.f64 -1 (neg.f64 (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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.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 (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 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (exp.f64 a)))
(*.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 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) (*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) (exp.f64 a)))
(*.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 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -2) (pow.f64 (pow.f64 (exp.f64 a) -1/2) -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) -2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) -2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) -2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) -2))
(*.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 (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 (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) (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 (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 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -2))) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (*.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2))
(*.f64 (*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (exp.f64 a))) (sqrt.f64 (exp.f64 a)))
(*.f64 (*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (cbrt.f64 (exp.f64 a)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (*.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 (exp.f64 (*.f64 b 3)) (pow.f64 (exp.f64 a) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))) (-.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (exp.f64 a) -1) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(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 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3) (pow.f64 (exp.f64 a) 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))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 a) -1/2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (exp.f64 a) -1/2)))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (sqrt.f64 (exp.f64 a))))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (pow.f64 (exp.f64 a) -1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 1 (neg.f64 (sqrt.f64 (exp.f64 a)))))
(*.f64 (pow.f64 (exp.f64 a) -1/2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (exp.f64 a))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 a))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (sqrt.f64 (exp.f64 a)))))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 a) 1/4)) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 a) 1/4)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (exp.f64 a))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 a) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (exp.f64 a) 1/4)))
(*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) 1) (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (sqrt.f64 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (cbrt.f64 (exp.f64 a))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (cbrt.f64 (sqrt.f64 (exp.f64 a)))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) 3)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) 2)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (sqrt.f64 (exp.f64 a)))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (exp.f64 a))))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2) (pow.f64 (exp.f64 a) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 b 3)) (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 b 3)) (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))) (sqrt.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(hypot.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 b)))
(hypot.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))

simplify260.0ms (7.5%)

Algorithm
egg-herbie
Rules
922×associate-*r*
868×associate-*l*
762×fma-define
728×*-commutative
512×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069318697
1191518057
2722818021
Stop Event
node limit
Counts
315 → 374
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 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 -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 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
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1/2
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(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (exp.f64 a) -1/2)))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (sqrt.f64 (exp.f64 a))))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (pow.f64 (exp.f64 a) -1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 1 (neg.f64 (sqrt.f64 (exp.f64 a)))))
(*.f64 (pow.f64 (exp.f64 a) -1/2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (exp.f64 a))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 a))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (sqrt.f64 (exp.f64 a)))))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 a) 1/4)) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 a) 1/4)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (exp.f64 a))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 a) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (exp.f64 a) 1/4)))
(*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) 1) (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (sqrt.f64 (exp.f64 a))))
(*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (cbrt.f64 (exp.f64 a))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (cbrt.f64 (sqrt.f64 (exp.f64 a)))))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) 3)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) 2)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (sqrt.f64 (exp.f64 a)))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (exp.f64 a))))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2) (pow.f64 (exp.f64 a) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 b 3)) (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 b 3)) (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))) (sqrt.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(hypot.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 b)))
(hypot.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
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)))))
(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))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (pow.f64 a 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 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 1/6 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (/.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))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (pow.f64 a 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (fma.f64 (pow.f64 a 3) (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (*.f64 (/.f64 1 (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 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(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 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 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 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (fma.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 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (pow.f64 b 2) (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 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 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (fma.f64 -1 (*.f64 (pow.f64 b 3) (fma.f64 -1 (/.f64 (fma.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))) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (*.f64 1/6 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (fma.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 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (pow.f64 b 3) (+.f64 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (-.f64 -1 (exp.f64 a))) (fma.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 (exp.f64 a) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (*.f64 (pow.f64 b 2) (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))
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1/2
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(fma.f64 a 1/4 1/2)
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(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 a))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (sqrt.f64 (exp.f64 a)))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 a))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (cbrt.f64 (sqrt.f64 (exp.f64 a)))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (cbrt.f64 (sqrt.f64 (exp.f64 a)))) (cbrt.f64 (exp.f64 a)))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 a) 1/4)) (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 a) 1/4)))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 a) 1/4)) (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (pow.f64 (exp.f64 a) 1/4)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (pow.f64 (exp.f64 a) 1/4)) (pow.f64 (exp.f64 a) 1/4))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (exp.f64 a))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 a) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (exp.f64 a) 1/4)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (exp.f64 a) 1/4))) (pow.f64 (exp.f64 a) 1/4))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (pow.f64 (exp.f64 a) 1/4)) (pow.f64 (exp.f64 a) 1/4)))
(*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) 1) (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (sqrt.f64 (exp.f64 a))))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a)))
(*.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (cbrt.f64 (exp.f64 a))) (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (cbrt.f64 (sqrt.f64 (exp.f64 a)))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 a))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (cbrt.f64 (sqrt.f64 (exp.f64 a)))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (cbrt.f64 (sqrt.f64 (exp.f64 a)))) (cbrt.f64 (exp.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 1)
(sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) 3)
(sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1/2)
(sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 3) 1/3)
(sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) 2)
(sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) -1)
(/.f64 1 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
(neg.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (sqrt.f64 (exp.f64 a)))))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (exp.f64 a))))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a)))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) 3))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2) (pow.f64 (exp.f64 a) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3/2) (pow.f64 (exp.f64 a) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))) 1))
(sqrt.f64 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 b 3)) (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (sqrt.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) 2))))
(/.f64 (hypot.f64 (pow.f64 (exp.f64 a) 3/2) (pow.f64 (exp.f64 b) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)) (pow.f64 (exp.f64 b) 2))))
(/.f64 (sqrt.f64 (+.f64 (exp.f64 (*.f64 b 3)) (pow.f64 (exp.f64 a) 3))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (sqrt.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (hypot.f64 (pow.f64 (exp.f64 a) 3/2) (pow.f64 (exp.f64 b) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2))) (sqrt.f64 (-.f64 (exp.f64 b) (exp.f64 a))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (sqrt.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/2)
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3/2))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1/4) 2)
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(fabs.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3/2))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
(hypot.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 b)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(hypot.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 a)))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1/2))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))
(sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

eval200.0ms (5.7%)

Compiler

Compiled 12106 to 6823 computations (43.6% saved)

prune57.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3713374
Fresh000
Picked224
Done011
Total3736379
Accuracy
100.0%
Counts
379 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
67.7%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
83.3%
(/.f64 1 (+.f64 1 (exp.f64 b)))
42.8%
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
42.6%
(+.f64 1/2 (*.f64 a 1/4))
42.3%
1/2
Compiler

Compiled 50 to 39 computations (22% saved)

localize89.0ms (2.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 -1/48 (pow.f64 a 3))
Compiler

Compiled 51 to 40 computations (21.6% saved)

series3.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
a
@0
(*.f64 -1/48 (pow.f64 a 3))
1.0ms
a
@inf
(*.f64 -1/48 (pow.f64 a 3))
1.0ms
a
@-inf
(*.f64 -1/48 (pow.f64 a 3))

rewrite61.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
1002×associate-*r*
858×associate-*l*
604×unpow-prod-down
306×log-prod
284×cbrt-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
17416
274116
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 -1/48 (pow.f64 a 3))
Outputs
(+.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) -1)
(+.f64 0 (*.f64 -1/48 (pow.f64 a 3)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/24))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/48))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/96)) (log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/96)))
(-.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) (+.f64 1 (*.f64 -1/48 (pow.f64 a 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) (+.f64 1 (*.f64 -1/48 (pow.f64 a 3)))) 1) (+.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 1))
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)
(pow.f64 (*.f64 (pow.f64 a 6) 1/2304) 1/2)
(pow.f64 (*.f64 (pow.f64 a 9) -1/110592) 1/3)
(pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 a) (log.f64 -1/48)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))) (sqrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))))
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(fabs.f64 (*.f64 -1/48 (pow.f64 a 3)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/48))
(cbrt.f64 (*.f64 (pow.f64 a 9) -1/110592))
(expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))
(exp.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))
(exp.f64 (*.f64 (log.f64 (*.f64 a (cbrt.f64 -1/48))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a 9) -1/110592)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48))) 2))

simplify63.0ms (1.8%)

Algorithm
egg-herbie
Rules
1606×times-frac
1264×fma-neg
642×associate-*r*
592×unswap-sqr
580×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
094833
1236599
2664582
33429582
Stop Event
node limit
Counts
25 → 32
Calls
Call 1
Inputs
(+.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) -1)
(+.f64 0 (*.f64 -1/48 (pow.f64 a 3)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/24))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/48))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/96)) (log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/96)))
(-.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) (+.f64 1 (*.f64 -1/48 (pow.f64 a 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) (+.f64 1 (*.f64 -1/48 (pow.f64 a 3)))) 1) (+.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 1))
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)
(pow.f64 (*.f64 (pow.f64 a 6) 1/2304) 1/2)
(pow.f64 (*.f64 (pow.f64 a 9) -1/110592) 1/3)
(pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2)
(pow.f64 (E.f64) (fma.f64 3 (log.f64 a) (log.f64 -1/48)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))) (sqrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))))
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(fabs.f64 (*.f64 -1/48 (pow.f64 a 3)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/48))
(cbrt.f64 (*.f64 (pow.f64 a 9) -1/110592))
(expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))
(exp.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))
(exp.f64 (*.f64 (log.f64 (*.f64 a (cbrt.f64 -1/48))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a 9) -1/110592)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48))) 2))
Outputs
(+.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) -1)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 0 (*.f64 -1/48 (pow.f64 a 3)))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/24))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/48))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/24))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/96)) (log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/96)))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(-.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 1)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) (+.f64 1 (*.f64 -1/48 (pow.f64 a 3)))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 3) -1) (fma.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) (+.f64 1 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) 1) 3)) (fma.f64 (fma.f64 -1/48 (pow.f64 a 3) 1) (fma.f64 -1/48 (pow.f64 a 3) 1) (+.f64 (*.f64 -1/48 (pow.f64 a 3)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/48 (pow.f64 a 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/48 (pow.f64 a 3) 1) (fma.f64 -1/48 (pow.f64 a 3) 2))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) (+.f64 1 (*.f64 -1/48 (pow.f64 a 3)))) 1) (+.f64 (+.f64 1 (*.f64 -1/48 (pow.f64 a 3))) 1))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 (pow.f64 a 6) 1/2304) 1/2)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (*.f64 (pow.f64 a 9) -1/110592) 1/3)
(cbrt.f64 (*.f64 (pow.f64 a 9) -1/110592))
(cbrt.f64 (*.f64 -1/110592 (pow.f64 a 9)))
(pow.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48)) 2)
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(pow.f64 (E.f64) (fma.f64 3 (log.f64 a) (log.f64 -1/48)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 2))) (cbrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))) (sqrt.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48))))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(fabs.f64 (*.f64 -1/48 (pow.f64 a 3)))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a 3)) -1/48))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(cbrt.f64 (*.f64 (pow.f64 a 9) -1/110592))
(cbrt.f64 (*.f64 -1/110592 (pow.f64 a 9)))
(expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(exp.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(exp.f64 (*.f64 (log.f64 (*.f64 a (cbrt.f64 -1/48))) 3))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a 9) -1/110592)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 a 9) -1/110592))
(cbrt.f64 (*.f64 -1/110592 (pow.f64 a 9)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a 3/2) (sqrt.f64 -1/48))) 2))
(+.f64 1 (-.f64 (*.f64 -1/48 (pow.f64 a 3)) 1))
(*.f64 -1/48 (pow.f64 a 3))

eval15.0ms (0.4%)

Compiler

Compiled 597 to 510 computations (14.6% saved)

prune10.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New32032
Fresh000
Picked033
Done033
Total32638
Accuracy
100.0%
Counts
38 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
67.7%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
83.3%
(/.f64 1 (+.f64 1 (exp.f64 b)))
42.8%
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
42.6%
(+.f64 1/2 (*.f64 a 1/4))
42.3%
1/2
Compiler

Compiled 112 to 75 computations (33% saved)

regimes20.0ms (0.6%)

Counts
8 → 1
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (sqrt.f64 (exp.f64 a))) -2)
Outputs
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
Calls

5 calls:

7.0ms
b
6.0ms
a
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1(exp.f64 a)
99.2%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes23.0ms (0.7%)

Counts
6 → 1
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

7.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
a
5.0ms
b
2.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.2%1a
99.2%1b
99.2%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.2%1(exp.f64 a)
99.2%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes33.0ms (0.9%)

Counts
5 → 2
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 a 1/4))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Outputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

14.0ms
b
10.0ms
a
5.0ms
(exp.f64 b)
3.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.0%2a
99.6%3b
99.0%2(exp.f64 a)
98.8%3(exp.f64 b)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes14.0ms (0.4%)

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

3 calls:

7.0ms
b
4.0ms
a
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
83.3%1(exp.f64 b)
83.3%1b
83.3%1a
Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.2%)

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

2 calls:

3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
42.6%1b
42.6%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
1/2
Outputs
1/2
Calls

2 calls:

4.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
42.3%1a
42.3%1b
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9153180481167651
0.9530609140738424
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029174
140174
Stop Event
done
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 4278419646001971/4503599627370496) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1/2 (*.f64 a 1/4))
1/2
Outputs
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 4278419646001971/4503599627370496) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1/2 (*.f64 a 1/4))
1/2
Compiler

Compiled 60 to 44 computations (26.7% saved)

soundness362.0ms (10.4%)

Rules
1260×unpow-prod-down
970×prod-diff
922×associate-*r*
868×associate-*l*
762×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
113634
2187134
069318697
1191518057
2722818021
Stop Event
node limit
node limit
Compiler

Compiled 42 to 22 computations (47.6% saved)

end0.0ms (0%)

preprocess59.0ms (1.7%)

Compiler

Compiled 140 to 84 computations (40% saved)

Profiling

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