Quotient of sum of exps

Time bar (total: 4.8s)

analyze13.0ms (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 (22.9%)

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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0.0ms256valid
0.0ms256unsamplable
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0.0ms256unsamplable
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Bogosity

preprocess173.0ms (3.6%)

Algorithm
egg-herbie
Rules
1660×fma-neg
1632×fma-def
1438×div-sub
878×associate-*r*
878×times-frac
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(exp.f64 a)
00-0-(exp.f64 b)
00-0-b
00-0-a
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
024270
144268
269268
3105268
4192240
5400240
6955240
72893239
86475239
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 b a))))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 a b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b))))
(neg.f64 (/.f64 (exp.f64 (neg.f64 a)) (+.f64 (exp.f64 (neg.f64 a)) (exp.f64 b))))
(/.f64 (neg.f64 (exp.f64 (neg.f64 a))) (+.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 -1 (*.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 (neg.f64 a)))))
(/.f64 -1 (+.f64 1 (exp.f64 (+.f64 b a))))
(/.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 (neg.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 (neg.f64 b))))
(/.f64 -1 (-.f64 1 (/.f64 (neg.f64 (exp.f64 (neg.f64 b))) (exp.f64 a))))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 54 to 20 computations (63% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

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

Compiled 10 to 6 computations (40% saved)

localize33.0ms (0.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
98.8%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 22 to 7 computations (68.2% saved)

series10.0ms (0.2%)

Counts
2 → 16
Calls

12 calls:

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

rewrite217.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
970×prod-diff
698×log1p-expm1-u
698×expm1-log1p-u
684×log-prod
474×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
113655
2186155
Stop Event
node limit
Counts
2 → 99
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.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 (/.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 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (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 (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 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -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)))))
(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 (+.f64 (exp.f64 a) (exp.f64 b)) (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)))))
(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 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 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))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(pow.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) -1)
(pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.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 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 (exp.f64 a) 1 (exp.f64 b))
(fma.f64 (exp.f64 b) 1 (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))

simplify279.0ms (5.8%)

Algorithm
egg-herbie
Rules
1898×fma-def
862×distribute-lft-in
848×distribute-rgt-in
686×unswap-sqr
660×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03255409
18355266
226865139
Stop Event
node limit
Counts
115 → 159
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 a (+.f64 (exp.f64 b) (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 1 (+.f64 a (+.f64 (exp.f64 b) (+.f64 (*.f64 1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 2))))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 1 (+.f64 b (+.f64 (exp.f64 a) (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2))))))
(+.f64 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 (/.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 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (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 (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 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -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)))))
(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 (+.f64 (exp.f64 a) (exp.f64 b)) (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)))))
(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 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 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))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(pow.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) -1)
(pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (exp.f64 b))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(log.f64 (*.f64 (exp.f64 (exp.f64 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (exp.f64 (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.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 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 (exp.f64 a) 1 (exp.f64 b))
(fma.f64 (exp.f64 b) 1 (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
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)))))
(+.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 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (+.f64 (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.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 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 2/3)) (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 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 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) 2/3 (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 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))))
(fma.f64 -1 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (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)))))
(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 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a))) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))) (*.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 (exp.f64 a) (+.f64 1 (exp.f64 a))) (fma.f64 (pow.f64 b 2) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (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))))))
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(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) 1/2)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)) (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3))) -1)
(*.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 b) 3) (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) -1)
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (*.f64 (exp.f64 (exp.f64 a)) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (exp.f64 (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 a))) (+.f64 1 (expm1.f64 (exp.f64 b)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (*.f64 (exp.f64 (exp.f64 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (exp.f64 (exp.f64 a))))
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))
(+.f64 (exp.f64 b) (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(+.f64 (exp.f64 b) (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1/3))
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(+.f64 (exp.f64 b) (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (exp.f64 a) 1 (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (exp.f64 b) 1 (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))

eval54.0ms (1.1%)

Compiler

Compiled 3392 to 1675 computations (50.6% saved)

prune21.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1563159
Fresh000
Picked101
Done000
Total1573160
Accuracy
99.7%
Counts
160 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
81.7%
(/.f64 1 (+.f64 1 (exp.f64 b)))
81.7%
(+.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))))
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize229.0ms (4.7%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 1 (exp.f64 a))
99.2%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
100.0%
(/.f64 1 (+.f64 1 (exp.f64 b)))
100.0%
(+.f64 1 (exp.f64 b))
100.0%
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
100.0%
(/.f64 1 (+.f64 1 (exp.f64 b)))
100.0%
(+.f64 1 (exp.f64 b))
100.0%
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
Compiler

Compiled 118 to 76 computations (35.6% saved)

series8.0ms (0.2%)

Counts
8 → 32
Calls

24 calls:

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

rewrite176.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
1260×fma-def
903×log1p-expm1-u
903×expm1-log1p-u
440×expm1-udef
440×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019174
1283172
23993172
Stop Event
node limit
Counts
8 → 352
Calls
Call 1
Inputs
(-.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 (+.f64 1 (exp.f64 b)))
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(+.f64 1 (exp.f64 b))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
Outputs
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1)
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(*.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) -3))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (pow.f64 (+.f64 1 (exp.f64 b)) -6)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) (pow.f64 (+.f64 1 (exp.f64 b)) -3)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (/.f64 1 (+.f64 1 (exp.f64 b)))) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) (pow.f64 (+.f64 1 (exp.f64 b)) -3))) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (pow.f64 (+.f64 1 (exp.f64 b)) -6))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (pow.f64 (+.f64 1 (exp.f64 b)) -4))))
(/.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (pow.f64 (+.f64 1 (exp.f64 b)) -6)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) (pow.f64 (+.f64 1 (exp.f64 b)) -3))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 (+.f64 1 (exp.f64 b)) -1)) (*.f64 (+.f64 1 (exp.f64 b)) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 (neg.f64 (+.f64 1 (exp.f64 b))) 1)) (*.f64 (neg.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (neg.f64 (+.f64 1 (exp.f64 b))) -1)) (*.f64 (neg.f64 (+.f64 1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (pow.f64 (+.f64 1 (exp.f64 b)) -6))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) (pow.f64 (+.f64 1 (exp.f64 b)) -3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (pow.f64 (+.f64 1 (exp.f64 b)) -4))) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 3)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b)) (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
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(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (exp.f64 a) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)

simplify202.0ms (4.2%)

Algorithm
egg-herbie
Rules
1000×div-sub
672×exp-prod
578×cube-prod
578×times-frac
470×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059015566
1135814693
2541214583
Stop Event
node limit
Counts
384 → 423
Calls
Call 1
Inputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 b 2)))
(+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 b 2)) (*.f64 1/96 (pow.f64 b 4))))
(+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 b 2)) (+.f64 (*.f64 -17/11520 (pow.f64 b 6)) (*.f64 1/96 (pow.f64 b 4)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2)))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/48 (pow.f64 b 3))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3)))))
1/4
(+.f64 1/4 (*.f64 -1/4 b))
(+.f64 1/4 (+.f64 (*.f64 -1/4 b) (*.f64 1/16 (pow.f64 b 2))))
(+.f64 1/4 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 1/16 (pow.f64 b 2)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2)))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/48 (pow.f64 b 3))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3)))))
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
2
(+.f64 2 a)
(+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2))))
(+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1)
(*.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(*.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) -3))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (pow.f64 (+.f64 1 (exp.f64 b)) -6)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) (pow.f64 (+.f64 1 (exp.f64 b)) -3)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (/.f64 1 (+.f64 1 (exp.f64 b)))) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) (pow.f64 (+.f64 1 (exp.f64 b)) -3))) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (pow.f64 (+.f64 1 (exp.f64 b)) -6))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (pow.f64 (+.f64 1 (exp.f64 b)) -4))))
(/.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (pow.f64 (+.f64 1 (exp.f64 b)) -6)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) (pow.f64 (+.f64 1 (exp.f64 b)) -3))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 (+.f64 1 (exp.f64 b)) -1)) (*.f64 (+.f64 1 (exp.f64 b)) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 (neg.f64 (+.f64 1 (exp.f64 b))) 1)) (*.f64 (neg.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(/.f64 (-.f64 (*.f64 -1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 (neg.f64 (+.f64 1 (exp.f64 b))) -1)) (*.f64 (neg.f64 (+.f64 1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (pow.f64 (+.f64 1 (exp.f64 b)) -6))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4) (pow.f64 (+.f64 1 (exp.f64 b)) -3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (pow.f64 (+.f64 1 (exp.f64 b)) -4))) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 3)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b)) (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(exp.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(fma.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1))
(fma.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 b)))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 b)))) (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1))
(fma.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(fma.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1))
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(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (fma.f64 (exp.f64 b) (expm1.f64 b) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) 1) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 1 (exp.f64 b)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 b))) -1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) 1) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) 1) (-.f64 1 (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(fabs.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 b)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(hypot.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b))))
(hypot.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 (exp.f64 b) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 b)) (pow.f64 (cbrt.f64 (exp.f64 b)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1/2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(fabs.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1)
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (fma.f64 -1 (exp.f64 a) -1)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (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 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.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 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.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) (fma.f64 -1 (exp.f64 a) -1)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))
(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))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 1 (exp.f64 a)))
(*.f64 (+.f64 1 (exp.f64 a)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (hypot.f64 1 (sqrt.f64 (exp.f64 a))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (exp.f64 a) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
Outputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 b 2)))
(fma.f64 -1/16 (pow.f64 b 2) 1/4)
(+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 b 2)) (*.f64 1/96 (pow.f64 b 4))))
(+.f64 1/4 (fma.f64 -1/16 (pow.f64 b 2) (*.f64 1/96 (pow.f64 b 4))))
(+.f64 (fma.f64 -1/16 (pow.f64 b 2) 1/4) (*.f64 1/96 (pow.f64 b 4)))
(+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 b 2)) (+.f64 (*.f64 -17/11520 (pow.f64 b 6)) (*.f64 1/96 (pow.f64 b 4)))))
(+.f64 1/4 (fma.f64 -1/16 (pow.f64 b 2) (fma.f64 -17/11520 (pow.f64 b 6) (*.f64 1/96 (pow.f64 b 4)))))
(+.f64 (fma.f64 -1/16 (pow.f64 b 2) 1/4) (fma.f64 1/96 (pow.f64 b 4) (*.f64 -17/11520 (pow.f64 b 6))))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (*.f64 (pow.f64 b 2) 1/2))
(+.f64 2 (fma.f64 (pow.f64 b 2) 1/2 b))
(+.f64 2 (+.f64 b (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (+.f64 b 2) (fma.f64 1/6 (pow.f64 b 3) (*.f64 (pow.f64 b 2) 1/2)))
(+.f64 2 (+.f64 (fma.f64 (pow.f64 b 2) 1/2 b) (*.f64 1/6 (pow.f64 b 3))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/48 (pow.f64 b 3))))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 (pow.f64 b 3) 1/48)))
(+.f64 1/2 (fma.f64 (pow.f64 b 3) 1/48 (*.f64 b -1/4)))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3)))))
(+.f64 1/2 (fma.f64 -1/4 b (fma.f64 -1/480 (pow.f64 b 5) (*.f64 (pow.f64 b 3) 1/48))))
(+.f64 (fma.f64 b -1/4 1/2) (fma.f64 (pow.f64 b 3) 1/48 (*.f64 -1/480 (pow.f64 b 5))))
1/4
(+.f64 1/4 (*.f64 -1/4 b))
(+.f64 1/4 (*.f64 b -1/4))
(fma.f64 b -1/4 1/4)
(+.f64 1/4 (+.f64 (*.f64 -1/4 b) (*.f64 1/16 (pow.f64 b 2))))
(+.f64 1/4 (fma.f64 -1/4 b (*.f64 (pow.f64 b 2) 1/16)))
(+.f64 (fma.f64 b -1/4 1/4) (*.f64 (pow.f64 b 2) 1/16))
(+.f64 1/4 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 1/16 (pow.f64 b 2)))))
(+.f64 1/4 (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (*.f64 (pow.f64 b 2) 1/16))))
(+.f64 (fma.f64 b -1/4 1/4) (fma.f64 (pow.f64 b 3) 1/48 (*.f64 (pow.f64 b 2) 1/16)))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (*.f64 (pow.f64 b 2) 1/2))
(+.f64 2 (fma.f64 (pow.f64 b 2) 1/2 b))
(+.f64 2 (+.f64 b (+.f64 (*.f64 1/6 (pow.f64 b 3)) (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (+.f64 b 2) (fma.f64 1/6 (pow.f64 b 3) (*.f64 (pow.f64 b 2) 1/2)))
(+.f64 2 (+.f64 (fma.f64 (pow.f64 b 2) 1/2 b) (*.f64 1/6 (pow.f64 b 3))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/48 (pow.f64 b 3))))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 (pow.f64 b 3) 1/48)))
(+.f64 1/2 (fma.f64 (pow.f64 b 3) 1/48 (*.f64 b -1/4)))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (*.f64 1/48 (pow.f64 b 3)))))
(+.f64 1/2 (fma.f64 -1/4 b (fma.f64 -1/480 (pow.f64 b 5) (*.f64 (pow.f64 b 3) 1/48))))
(+.f64 (fma.f64 b -1/4 1/2) (fma.f64 (pow.f64 b 3) 1/48 (*.f64 -1/480 (pow.f64 b 5))))
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a)))
(+.f64 1/2 (fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/4 a)))
(+.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(+.f64 1/2 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a))))
2
(+.f64 2 a)
(+.f64 2 (+.f64 a (*.f64 1/2 (pow.f64 a 2))))
(+.f64 (+.f64 2 a) (*.f64 1/2 (pow.f64 a 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 a 2) a))
(+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (*.f64 1/2 (pow.f64 a 2)))))
(+.f64 (+.f64 2 a) (fma.f64 1/6 (pow.f64 a 3) (*.f64 1/2 (pow.f64 a 2))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 a 2) a) (*.f64 1/6 (pow.f64 a 3))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
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(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(pow.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 3) 1/3)
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 2)
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 2))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 3))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(exp.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) 1))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(fma.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
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(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
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(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(fma.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
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(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
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(fma.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (fma.f64 (neg.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (+.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
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(fma.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (/.f64 1 (+.f64 1 (exp.f64 b))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
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(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
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(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
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(-.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 b)))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))
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(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1/2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(fabs.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))) 1)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.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))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (fma.f64 -1 (exp.f64 a) -1)))
(/.f64 (*.f64 (neg.f64 (exp.f64 a)) 1) (fma.f64 -1 (exp.f64 a) -1))
(/.f64 (neg.f64 (exp.f64 a)) (fma.f64 -1 (exp.f64 a) -1))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (exp.f64 a))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.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 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.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 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.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 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.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 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(*.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 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (*.f64 (exp.f64 a) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)) (+.f64 1 (pow.f64 (exp.f64 a) 3)))
(/.f64 (exp.f64 a) (/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(*.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)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(neg.f64 (/.f64 (exp.f64 a) (fma.f64 -1 (exp.f64 a) -1)))
(/.f64 (*.f64 (neg.f64 (exp.f64 a)) 1) (fma.f64 -1 (exp.f64 a) -1))
(/.f64 (neg.f64 (exp.f64 a)) (fma.f64 -1 (exp.f64 a) -1))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(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))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (*.f64 (-.f64 a (log1p.f64 (exp.f64 a))) 1))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 a)))) 1)
(+.f64 1 (exp.f64 a))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(*.f64 1 (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
(*.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(+.f64 1 (exp.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) (hypot.f64 1 (sqrt.f64 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 a) 3))) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 a) 3)) (neg.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 a) 2)) (+.f64 -1 (exp.f64 a)))
(/.f64 (expm1.f64 (+.f64 a a)) (expm1.f64 a))
(/.f64 (expm1.f64 (*.f64 2 a)) (expm1.f64 a))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)
(+.f64 1 (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)
(+.f64 1 (exp.f64 a))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 a))) 2)
(+.f64 1 (exp.f64 a))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(+.f64 1 (exp.f64 a))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 1 (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(+.f64 1 (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(exp.f64 (log1p.f64 (exp.f64 a)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 a)) 1))
(exp.f64 (log1p.f64 (exp.f64 a)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(+.f64 1 (exp.f64 a))
(fma.f64 1 (exp.f64 a) 1)
(+.f64 1 (exp.f64 a))
(fma.f64 (exp.f64 a) 1 1)
(+.f64 1 (exp.f64 a))
(fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1)
(+.f64 1 (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 1 (exp.f64 a))

eval386.0ms (8%)

Compiler

Compiled 18883 to 13211 computations (30% saved)

prune145.0ms (3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New7276733
Fresh000
Picked123
Done000
Total7288736
Accuracy
99.7%
Counts
736 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.1%
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
65.8%
(/.f64 (exp.f64 a) (+.f64 2 a))
65.9%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
37.3%
(/.f64 1 (+.f64 b 2))
81.7%
(/.f64 1 (+.f64 1 (exp.f64 b)))
37.2%
(+.f64 1/2 (*.f64 b -1/4))
40.1%
(+.f64 1/2 (*.f64 1/4 a))
40.2%
1/2
Compiler

Compiled 101 to 85 computations (15.8% saved)

localize227.0ms (4.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 1 (+.f64 b 2))
100.0%
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
100.0%
(+.f64 1 (exp.f64 b))
99.2%
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
Compiler

Compiled 61 to 44 computations (27.9% saved)

series104.0ms (2.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
69.0ms
b
@-inf
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
31.0ms
b
@inf
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
2.0ms
b
@0
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
0.0ms
b
@inf
(/.f64 1 (+.f64 b 2))
0.0ms
b
@0
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)

rewrite104.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
788×log1p-expm1-u
788×expm1-log1p-u
744×log-prod
482×pow-prod-down
450×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01556
118956
2229656
Stop Event
node limit
Counts
3 → 99
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(/.f64 1 (+.f64 b 2))
Outputs
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 5/6) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log1p.f64 (exp.f64 b)))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 b))) -1/2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 0 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))) 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) -1))
(exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1) 1/2))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 -1/2 (log1p.f64 (exp.f64 b)))) 3))
(exp.f64 (*.f64 (*.f64 -3/2 (log1p.f64 (exp.f64 b))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 b))) -1/4))
(exp.f64 (*.f64 (*.f64 -1/4 (log1p.f64 (exp.f64 b))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1/4) 2))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(+.f64 0 (/.f64 1 (+.f64 b 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(*.f64 (/.f64 1 (+.f64 b 2)) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 b))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b 2) 2))) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (-.f64 (fma.f64 b b 4) (*.f64 b 2)))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(pow.f64 (+.f64 b 2) -1)
(pow.f64 (/.f64 1 (+.f64 b 2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 3)
(pow.f64 (pow.f64 (+.f64 b 2) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 b 2) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 b 2) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 b 2)) -2)
(pow.f64 (neg.f64 (+.f64 -2 (neg.f64 b))) -1)
(sqrt.f64 (pow.f64 (+.f64 b 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b 2)))))
(cbrt.f64 (pow.f64 (+.f64 b 2) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 b 2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b 2)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b 2)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b 2))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 b 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 b 2) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 b 2))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))

simplify107.0ms (2.2%)

Algorithm
egg-herbie
Rules
1408×fma-def
1378×times-frac
914×unsub-neg
618×exp-prod
492×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03083783
16913552
218853296
356703296
Stop Event
node limit
Counts
135 → 161
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/2 (*.f64 b (pow.f64 (sqrt.f64 1/2) 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))))))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2)))))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 b (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 b (sqrt.f64 1/2))) (*.f64 -1/32 (*.f64 (pow.f64 b 2) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 b (sqrt.f64 1/2))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 b 2) (sqrt.f64 1/2))) (*.f64 5/384 (*.f64 (pow.f64 b 3) (sqrt.f64 1/2))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (*.f64 1/8 (pow.f64 b 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 b) (+.f64 (*.f64 -1/16 (pow.f64 b 3)) (*.f64 1/8 (pow.f64 b 2)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 5/6) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 b)))) 3))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log1p.f64 (exp.f64 b)))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 b))) -1/2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 0 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))) 1))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) -1))
(exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1/2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1) 1/2))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 -1/2 (log1p.f64 (exp.f64 b)))) 3))
(exp.f64 (*.f64 (*.f64 -3/2 (log1p.f64 (exp.f64 b))) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 b))) -1/4))
(exp.f64 (*.f64 (*.f64 -1/4 (log1p.f64 (exp.f64 b))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1/4) 2))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(+.f64 0 (/.f64 1 (+.f64 b 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(*.f64 (/.f64 1 (+.f64 b 2)) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 b))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b 2) 2))) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (-.f64 (fma.f64 b b 4) (*.f64 b 2)))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(pow.f64 (+.f64 b 2) -1)
(pow.f64 (/.f64 1 (+.f64 b 2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 3)
(pow.f64 (pow.f64 (+.f64 b 2) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 b 2) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 b 2) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(pow.f64 (sqrt.f64 (+.f64 b 2)) -2)
(pow.f64 (neg.f64 (+.f64 -2 (neg.f64 b))) -1)
(sqrt.f64 (pow.f64 (+.f64 b 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b 2)))))
(cbrt.f64 (pow.f64 (+.f64 b 2) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 b 2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b 2)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b 2)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b 2))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 b 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 b 2) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 b 2))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/2 (*.f64 b (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))))))
(+.f64 1/2 (*.f64 -1/2 (*.f64 b (pow.f64 (sqrt.f64 1/2) 2))))
(fma.f64 b -1/4 1/2)
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 -2 b)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 -2 b))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2)))) 1)
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(*.f64 (/.f64 1 (+.f64 b 2)) (log.f64 (exp.f64 1)))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 b))))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2)))
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b 2) 2))) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b 2) 2))))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) 2)))
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (-.f64 (fma.f64 b b 4) (*.f64 b 2)))
(/.f64 (+.f64 (fma.f64 b b 4) (*.f64 b -2)) (+.f64 (pow.f64 b 3) 8))
(/.f64 (fma.f64 b -2 (fma.f64 b b 4)) (+.f64 (pow.f64 b 3) 8))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(/.f64 (+.f64 b -2) (fma.f64 b b -4))
(pow.f64 (+.f64 b 2) -1)
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(pow.f64 (/.f64 1 (+.f64 b 2)) 1)
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 3)
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(pow.f64 (pow.f64 (+.f64 b 2) -2) 1/2)
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(pow.f64 (pow.f64 (+.f64 b 2) -3) 1/3)
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(pow.f64 (pow.f64 (+.f64 b 2) 2) -1/2)
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(pow.f64 (sqrt.f64 (+.f64 b 2)) -2)
(pow.f64 (neg.f64 (+.f64 -2 (neg.f64 b))) -1)
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(sqrt.f64 (pow.f64 (+.f64 b 2) -2))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b 2)))))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(cbrt.f64 (pow.f64 (+.f64 b 2) -3))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(exp.f64 (*.f64 (log.f64 (+.f64 b 2)) -1))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b 2))) 1))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b 2)) 1) -1))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b 2)) -1) 1))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b 2))) 1) 1))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 b 2)))) 3))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 b 2) -3)) 1/3))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 b 2))) 2))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))
(/.f64 1 (+.f64 b 2))
(/.f64 -1 (-.f64 -2 b))

eval73.0ms (1.5%)

Compiler

Compiled 2995 to 2353 computations (21.4% saved)

prune36.0ms (0.7%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New2303233
Fresh011
Picked145
Done022
Total23110241
Accuracy
99.7%
Counts
241 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.7%
(pow.f64 (sqrt.f64 1/2) 2)
80.8%
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
65.8%
(/.f64 (exp.f64 a) (+.f64 2 a))
65.9%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
37.3%
(/.f64 1 (+.f64 b 2))
81.7%
(/.f64 1 (+.f64 1 (exp.f64 b)))
3.2%
(/.f64 1 b)
37.2%
(+.f64 1/2 (*.f64 b -1/4))
40.1%
(+.f64 1/2 (*.f64 1/4 a))
40.2%
1/2
Compiler

Compiled 72 to 61 computations (15.3% saved)

localize299.0ms (6.2%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
98.4%
(pow.f64 (sqrt.f64 1/2) 2)
100.0%
(+.f64 1 (exp.f64 b))
99.2%
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
99.2%
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
99.2%
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
100.0%
(/.f64 (exp.f64 a) (+.f64 2 a))
Compiler

Compiled 70 to 50 computations (28.6% saved)

series63.0ms (1.3%)

Counts
5 → 48
Calls

12 calls:

TimeVariablePointExpression
40.0ms
b
@-inf
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
20.0ms
b
@inf
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
1.0ms
b
@0
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
1.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 2 a))
0.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 2 a))

rewrite137.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1197×log1p-expm1-u
804×expm1-log1p-u
482×prod-diff
432×expm1-udef
432×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02394
129688
2333588
Stop Event
node limit
Counts
5 → 98
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 2 a))
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(pow.f64 (sqrt.f64 1/2) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a 2)))) 1)
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 a 2)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 1)
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 a 2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a 2))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a 2))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 a) -2)))
(*.f64 (/.f64 1 (+.f64 a 2)) (exp.f64 a))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a 2) 2))) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 2))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 a 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (pow.f64 (+.f64 a 2) 2))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 a 2))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 a 2)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (+.f64 a 2) 2))) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 a 3) 8)) (+.f64 4 (*.f64 a (-.f64 a 2))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 4 (pow.f64 a 2))) (-.f64 2 a))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2)
(pow.f64 (/.f64 (+.f64 a 2) (exp.f64 a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 a) -2)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a 2)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 a 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(exp.f64 (-.f64 a (log.f64 (+.f64 a 2))))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 a 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(exp.f64 (*.f64 2 (*.f64 -1/2 (log1p.f64 (exp.f64 b)))))
(exp.f64 (*.f64 (*.f64 2 (*.f64 -1/2 (log1p.f64 (exp.f64 b)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(+.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) -1)
(-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1) (+.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 1/2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) -1/4)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 3))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) 1)
(*.f64 1 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1))
1/2

simplify85.0ms (1.8%)

Algorithm
egg-herbie
Rules
760×times-frac
686×distribute-lft-in
658×distribute-rgt-in
608×associate-+r+
604×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03264847
17964499
229134373
Stop Event
node limit
Counts
146 → 173
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a)))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 a 3)) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a)))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a)))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a))))
1/2
(+.f64 1/2 (*.f64 -1/2 (*.f64 b (pow.f64 (sqrt.f64 1/2) 2))))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))))))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 b (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2)))) (*.f64 (pow.f64 b 3) (+.f64 (*.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2)))))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 b (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 b (sqrt.f64 1/2))) (*.f64 -1/32 (*.f64 (pow.f64 b 2) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 b (sqrt.f64 1/2))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 b 2) (sqrt.f64 1/2))) (*.f64 5/384 (*.f64 (pow.f64 b 3) (sqrt.f64 1/2))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(log.f64 (+.f64 1 (pow.f64 2 -1/2)))
(+.f64 (log.f64 (+.f64 1 (pow.f64 2 -1/2))) (*.f64 -1/4 (/.f64 (*.f64 b (sqrt.f64 1/2)) (+.f64 1 (pow.f64 2 -1/2)))))
(+.f64 (log.f64 (+.f64 1 (pow.f64 2 -1/2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 b (sqrt.f64 1/2)) (+.f64 1 (pow.f64 2 -1/2)))) (*.f64 1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))) (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))))))))
(+.f64 (log.f64 (+.f64 1 (pow.f64 2 -1/2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 b (sqrt.f64 1/2)) (+.f64 1 (pow.f64 2 -1/2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -3/64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))) (+.f64 (*.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 3))) (*.f64 5/64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))))))) (*.f64 1/2 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 -1/16 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))) (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2)))))))))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a 2)))) 1)
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 a 2)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 1)
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 a 2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a 2))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a 2))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 a) -2)))
(*.f64 (/.f64 1 (+.f64 a 2)) (exp.f64 a))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 a 2) 2))) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 a 2))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 a 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (pow.f64 (+.f64 a 2) 2))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 a 2))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 a 2)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (+.f64 a 2) 2))) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 a 2))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 a 3) 8)) (+.f64 4 (*.f64 a (-.f64 a 2))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 4 (pow.f64 a 2))) (-.f64 2 a))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a 2))) 2)
(pow.f64 (/.f64 (+.f64 a 2) (exp.f64 a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 a) -2)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a 2)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 a 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(exp.f64 (-.f64 a (log.f64 (+.f64 a 2))))
(exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 a 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(exp.f64 (*.f64 2 (*.f64 -1/2 (log1p.f64 (exp.f64 b)))))
(exp.f64 (*.f64 (*.f64 2 (*.f64 -1/2 (log1p.f64 (exp.f64 b)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(+.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) -1)
(-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1) (+.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 1/2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) -1/4)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 3))
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) 1)
(*.f64 1 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1))
1/2
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a)))
(+.f64 1/2 (fma.f64 1/8 (pow.f64 a 2) (*.f64 1/4 a)))
(+.f64 1/2 (fma.f64 1/4 a (*.f64 1/8 (pow.f64 a 2))))
(+.f64 1/2 (*.f64 a (+.f64 1/4 (*.f64 a 1/8))))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 a 3)) (+.f64 (*.f64 1/8 (pow.f64 a 2)) (*.f64 1/4 a))))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 a 3) (fma.f64 1/8 (pow.f64 a 2) (*.f64 1/4 a))))
(+.f64 (fma.f64 1/48 (pow.f64 a 3) (*.f64 1/8 (pow.f64 a 2))) (fma.f64 1/4 a 1/2))
(+.f64 (fma.f64 1/4 a 1/2) (*.f64 (pow.f64 a 2) (+.f64 1/8 (*.f64 a 1/48))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(fma.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2)) (/.f64 (exp.f64 a) a))
(*.f64 (+.f64 (/.f64 -2 a) 1) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a)))
(fma.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2)) (fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (/.f64 (exp.f64 a) a)))
(+.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 2)) (+.f64 -2 (/.f64 4 a))))
(+.f64 (*.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4))) (+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a))))
(fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (fma.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2)) (fma.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3)) (/.f64 (exp.f64 a) a))))
(fma.f64 -8 (/.f64 (exp.f64 a) (pow.f64 a 4)) (+.f64 (/.f64 (exp.f64 a) a) (*.f64 (/.f64 (exp.f64 a) (pow.f64 a 2)) (+.f64 -2 (/.f64 4 a)))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(fma.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2)) (/.f64 (exp.f64 a) a))
(*.f64 (+.f64 (/.f64 -2 a) 1) (/.f64 (exp.f64 a) a))
(+.f64 (*.f64 -2 (/.f64 (exp.f64 a) (pow.f64 a 2))) (+.f64 (*.f64 4 (/.f64 (exp.f64 a) (pow.f64 a 3))) (/.f64 (exp.f64 a) a)))
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1/2
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 4))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 4))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (*.f64 2 (*.f64 -1/2 (log1p.f64 (exp.f64 b)))))
(exp.f64 (*.f64 -1 (log1p.f64 (exp.f64 b))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(exp.f64 (*.f64 (*.f64 2 (*.f64 -1/2 (log1p.f64 (exp.f64 b)))) 1))
(exp.f64 (*.f64 -1 (log1p.f64 (exp.f64 b))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) -1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(*.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1)
(/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) -1) (fma.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 1 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3)) (fma.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3)) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1) (+.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 1/2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 3) 1/3)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) -1/4)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) 2)
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(fabs.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 3))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))))
(pow.f64 (exp.f64 -1/2) (log1p.f64 (exp.f64 b)))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))) 1))
(pow.f64 (exp.f64 -1/2) (log1p.f64 (exp.f64 b)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) 1)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 1 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1/3)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
1/2

eval176.0ms (3.6%)

Compiler

Compiled 4066 to 3219 computations (20.8% saved)

prune42.0ms (0.9%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New2414245
Fresh000
Picked224
Done066
Total24312255
Accuracy
99.7%
Counts
255 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.7%
(pow.f64 (sqrt.f64 1/2) 2)
78.6%
(pow.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)) 2)
39.4%
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 2 -1/2))) 2)
65.9%
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
28.7%
(/.f64 (exp.f64 a) a)
37.3%
(/.f64 1 (+.f64 b 2))
81.7%
(/.f64 1 (+.f64 1 (exp.f64 b)))
3.2%
(/.f64 1 b)
37.2%
(+.f64 1/2 (*.f64 b -1/4))
39.9%
(+.f64 1/2 (*.f64 a (+.f64 1/4 (*.f64 a 1/8))))
40.1%
(+.f64 1/2 (*.f64 1/4 a))
40.2%
1/2
Compiler

Compiled 220 to 172 computations (21.8% saved)

regimes27.0ms (0.6%)

Counts
17 → 1
Calls
Call 1
Inputs
1/2
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 1 (+.f64 b 2))
(+.f64 1/2 (*.f64 a (+.f64 1/4 (*.f64 a 1/8))))
(/.f64 (exp.f64 a) a)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 2 a))
(pow.f64 (sqrt.f64 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 2 -1/2))) 2)
(+.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))))
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
(pow.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)) 2)
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

9.0ms
a
8.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.8%1a
98.8%1b
98.8%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.8%1(exp.f64 a)
98.8%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes43.0ms (0.9%)

Counts
11 → 2
Calls
Call 1
Inputs
1/2
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 1 (+.f64 b 2))
(+.f64 1/2 (*.f64 a (+.f64 1/4 (*.f64 a 1/8))))
(/.f64 (exp.f64 a) a)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 2 a))
(pow.f64 (sqrt.f64 1/2) 2)
(/.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:

18.0ms
b
13.0ms
a
6.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.3%2a
99.4%3b
99.3%2(exp.f64 a)
99.4%3(exp.f64 b)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes15.0ms (0.3%)

Counts
10 → 2
Calls
Call 1
Inputs
1/2
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 1 (+.f64 b 2))
(+.f64 1/2 (*.f64 a (+.f64 1/4 (*.f64 a 1/8))))
(/.f64 (exp.f64 a) a)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 2 a))
(pow.f64 (sqrt.f64 1/2) 2)
Outputs
(/.f64 (exp.f64 a) (+.f64 2 a))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

1 calls:

15.0ms
a
Results
AccuracySegmentsBranch
99.1%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.2%)

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

1 calls:

10.0ms
a
Results
AccuracySegmentsBranch
98.9%2a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes75.0ms (1.5%)

Counts
7 → 2
Calls
Call 1
Inputs
1/2
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 1 (+.f64 b 2))
(+.f64 1/2 (*.f64 a (+.f64 1/4 (*.f64 a 1/8))))
(/.f64 (exp.f64 a) a)
Outputs
(/.f64 (exp.f64 a) a)
(+.f64 1/2 (*.f64 1/4 a))
Calls

2 calls:

54.0ms
a
21.0ms
b
Results
AccuracySegmentsBranch
50.6%4b
65.9%2a
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.3%)

Accuracy

Total -24.2b remaining (-63.2%)

Threshold costs -24.2b (-63.2%)

Counts
6 → 1
Calls
Call 1
Inputs
1/2
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 b -1/4))
(/.f64 1 (+.f64 b 2))
(+.f64 1/2 (*.f64 a (+.f64 1/4 (*.f64 a 1/8))))
Outputs
1/2
Calls

2 calls:

8.0ms
b
5.0ms
a
Results
AccuracySegmentsBranch
40.2%1b
40.2%1a
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999984508495315
0.9999999994777585
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch18.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-1.5491516683681512e-6
-5.22241497601894e-10
Results
15.0ms112×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 159 to 130 computations (18.2% saved)

bsearch17.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-730.2201189909924
-1.5491516683681512e-6
Results
14.0ms128×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 159 to 127 computations (20.1% saved)

bsearch17.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-730.2201189909924
-1.5491516683681512e-6
Results
14.0ms128×256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
0.0ms256valid
Compiler

Compiled 150 to 118 computations (21.3% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
040247
151247
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 9007190247541737/9007199254740992) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -3872340515953109/18889465931478580854784) (/.f64 (exp.f64 a) (+.f64 2 a)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -720) (/.f64 (exp.f64 a) a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -2476979795053773/1125899906842624) (/.f64 (exp.f64 a) a) (+.f64 1/2 (*.f64 1/4 a)))
1/2
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 9007190247541737/9007199254740992) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 9007190247541737/9007199254740992) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 a -3872340515953109/18889465931478580854784) (/.f64 (exp.f64 a) (+.f64 2 a)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -3872340515953109/18889465931478580854784) (/.f64 (exp.f64 a) (+.f64 a 2)) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 a -720) (/.f64 (exp.f64 a) a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -720) (/.f64 (exp.f64 a) a) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 a -2476979795053773/1125899906842624) (/.f64 (exp.f64 a) a) (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 a -2476979795053773/1125899906842624) (/.f64 (exp.f64 a) a) (+.f64 1/2 (*.f64 a 1/4)))
1/2
Compiler

Compiled 82 to 60 computations (26.8% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess100.0ms (2.1%)

Compiler

Compiled 184 to 112 computations (39.1% saved)

Profiling

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