Logistic regression 2

Details

Time bar (total: 8.5s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

sample3.3s (39.2%)

Results
1.8s2260×body8192exit
1.1s6855×body256valid
199.0ms963×body256infinite
91.0ms202×body1024valid
59.0ms235×body512valid
1.0msbody2048valid
Bogosity

preprocess104.0ms (1.2%)

Algorithm
egg-herbie
Rules
1496×fma-def
1464×times-frac
894×associate-/r/
664×swap-sqr
658×fabs-mul
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01642
13442
24742
37442
410442
515342
623442
732142
842042
953642
1062042
1166142
1280942
13124242
14303842
15578742
16704642
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify95.0ms (1.1%)

Algorithm
egg-herbie
Rules
1340×fma-def
786×fabs-mul
740×associate-*l*
738×times-frac
592×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
12121
23221
35021
46921
510321
615721
720821
827621
935421
1041021
1143721
1251621
1374021
14165821
15479521
16577521
17726521
Stop Event
node limit
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

eval1.0ms (0%)

Compiler

Compiled 25 to 12 computations (52% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
99.2%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize36.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
99.2%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 20 to 7 computations (65% saved)

series52.0ms (0.6%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
29.0ms
x
@inf
(log1p.f64 (exp.f64 x))
18.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
3.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms
x
@0
(log1p.f64 (exp.f64 x))
0.0ms
x
@inf
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite68.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1934×pow1
1780×add-exp-log
1780×log1p-expm1-u
1780×expm1-log1p-u
196×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
118730
2245830
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Outputs
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))

simplify80.0ms (1%)

Algorithm
egg-herbie
Rules
708×fma-neg
654×times-frac
642×unswap-sqr
568×log-prod
488×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01552172
13922052
216222052
370572052
Stop Event
node limit
Counts
90 → 80
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 y (neg.f64 x)) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) 1) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 x (*.f64 y (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (*.f64 y (fma.f64 x y (log1p.f64 (exp.f64 x)))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 y (neg.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval23.0ms (0.3%)

Compiler

Compiled 1123 to 413 computations (63.2% saved)

prune18.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New76480
Fresh000
Picked011
Done000
Total76581
Accurracy
100.0%
Counts
81 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
94.1%
(-.f64 (log.f64 2) (*.f64 x y))
88.3%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
51.9%
(*.f64 y (neg.f64 x))
Compiler

Compiled 46 to 34 computations (26.1% saved)

localize19.0ms (0.2%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize40.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (-.f64 1/2 y) x)
100.0%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Compiler

Compiled 25 to 18 computations (28% saved)

series6.0ms (0.1%)

Counts
2 → 27
Calls

12 calls:

TimeVariablePointExpression
3.0ms
y
@0
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
1.0ms
x
@0
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms
y
@inf
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms
x
@-inf
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms
x
@inf
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

rewrite76.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1728×prod-diff
1052×log-prod
694×pow-prod-down
624×fma-def
512×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
123832
2309132
Stop Event
node limit
Counts
2 → 88
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))) -1)
(pow.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(+.f64 0 (*.f64 (-.f64 1/2 y) x))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))

simplify97.0ms (1.1%)

Algorithm
egg-herbie
Rules
1738×fma-neg
1554×fma-def
682×log-prod
632×unswap-sqr
476×hypot-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02163335
14852739
214492681
361122681
Stop Event
node limit
Counts
115 → 114
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))) -1)
(pow.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(+.f64 0 (*.f64 (-.f64 1/2 y) x))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
Outputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)))
(*.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (log.f64 2))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)) (fma.f64 x (+.f64 y -1/2) (log.f64 2)))
(pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) 1/2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3) 1/3)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))) -1)
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 2) (fma.f64 x (+.f64 y -1/2) (log.f64 2)) (pow.f64 (*.f64 x (-.f64 1/2 y)) 2)))
(pow.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) -1)
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 1/2)))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 0 (*.f64 (-.f64 1/2 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))))
(*.f64 x (-.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(*.f64 x (-.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 x (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 x (/.f64 (fma.f64 y (+.f64 1/2 y) 1/4) (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (/.f64 x (fma.f64 y (+.f64 1/2 y) 1/4)) (-.f64 1/8 (pow.f64 y 3)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(*.f64 x (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(*.f64 x (-.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1) 1))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1/3))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3) 1/3))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (-.f64 1/2 y))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))

localize33.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (log.f64 2) (*.f64 x y))
Compiler

Compiled 17 to 10 computations (41.2% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
x
@inf
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
y
@0
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
x
@-inf
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
y
@inf
(-.f64 (log.f64 2) (*.f64 x y))

rewrite61.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1908×pow1
1764×add-exp-log
1762×log1p-expm1-u
1762×expm1-log1p-u
198×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118817
2243917
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))

simplify74.0ms (0.9%)

Algorithm
egg-herbie
Rules
1380×fma-neg
1312×fma-def
668×distribute-lft-neg-in
510×distribute-rgt-neg-in
476×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01111546
13001426
211531426
348591306
Stop Event
node limit
Counts
62 → 51
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 2)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2)))
(/.f64 (-.f64 (log.f64 2) (*.f64 y x)) 1)
(*.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 2)))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2)))
(/.f64 (-.f64 (log.f64 2) (*.f64 y x)) 1)
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2)))
(/.f64 (-.f64 (log.f64 2) (*.f64 y x)) 1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2)))
(/.f64 (-.f64 (log.f64 2) (*.f64 y x)) 1)
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 y x) (+.f64 (log.f64 2) (*.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 x (*.f64 y (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y (*.f64 x (fma.f64 y x (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 (log.f64 2) (fma.f64 y x (log.f64 2)) (pow.f64 (*.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log.f64 2)))
(/.f64 (-.f64 (log.f64 2) (*.f64 y x)) 1)
(pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)
(-.f64 (log.f64 2) (*.f64 y x))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)
(-.f64 (log.f64 2) (*.f64 y x))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(-.f64 (log.f64 2) (*.f64 y x))
(log.f64 (/.f64 2 (pow.f64 (exp.f64 x) y)))
(-.f64 (log.f64 2) (*.f64 y x))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))
(-.f64 (log.f64 2) (*.f64 y x))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))) 1))
(-.f64 (log.f64 2) (*.f64 y x))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))

localize69.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 1 (log1p.f64 (exp.f64 x)))
100.0%
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
99.2%
(log1p.f64 (exp.f64 x))
98.9%
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
Compiler

Compiled 37 to 18 computations (51.4% saved)

series1.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+.f64 1 (log1p.f64 (exp.f64 x)))
0.0ms
x
@0
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
0.0ms
x
@0
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
0.0ms
x
@inf
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
0.0ms
x
@inf
(+.f64 1 (log1p.f64 (exp.f64 x)))

rewrite109.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1242×fma-def
1134×log-prod
772×pow-prod-down
550×pow-exp
548×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01269
126445
2378545
Stop Event
node limit
Counts
3 → 277
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
(+.f64 1 (log1p.f64 (exp.f64 x)))
Outputs
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))
(+.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (log1p.f64 (exp.f64 x)) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 2) (+.f64 (log1p.f64 (exp.f64 x)) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 2)) (-.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))) -1)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(expm1.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))
(hypot.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(fma.f64 1 (log1p.f64 (exp.f64 x)) 0)
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)
(fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1 -1)
(fma.f64 (log1p.f64 (exp.f64 x)) 1 0)
(fma.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) -1)
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) -1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 0)
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) 0)
(fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) 0)
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1) 1)
(+.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (fma.f64 x y 1)))
(+.f64 1 (-.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) (*.f64 x y)))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (neg.f64 (fma.f64 x y 1)))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 -1 (*.f64 x (neg.f64 y))))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 -1 (*.f64 x y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (log1p.f64 (exp.f64 x)) (-.f64 1 (fma.f64 x y 1)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))
(*.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(*.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (fma.f64 x y 1) 3)) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (pow.f64 (fma.f64 x y 1) 2) (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (fma.f64 x y 1)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x (neg.f64 y)) 2)) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (fma.f64 x y 1) 2)) (+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (fma.f64 x y 1)))
(pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)
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(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(*.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))
(*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1) (-.f64 1 (log1p.f64 (exp.f64 x))))
(pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))
(log.f64 (*.f64 (E.f64) (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) 1)
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2) -1)
(fma.f64 (log1p.f64 (exp.f64 x)) 1 1)
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) 1)
(fma.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) -1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)

simplify150.0ms (1.8%)

Algorithm
egg-herbie
Rules
692×fma-def
544×distribute-lft-neg-in
516×distribute-rgt-neg-in
424×sub-neg
362×distribute-lft-out
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052510953
1120510647
2423010647
Stop Event
node limit
Counts
325 → 369
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 1 (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))
(+.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(+.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(+.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (log1p.f64 (exp.f64 x)) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 2) (+.f64 (log1p.f64 (exp.f64 x)) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 2)) (-.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1)))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))) -1)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(expm1.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))
(hypot.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)
(fma.f64 1 (log1p.f64 (exp.f64 x)) 0)
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)
(fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1 -1)
(fma.f64 (log1p.f64 (exp.f64 x)) 1 0)
(fma.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) -1)
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) -1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 0)
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) 0)
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(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) (-.f64 -1 (*.f64 x y)))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (-.f64 -1 (*.f64 x y)))
(fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(*.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))
(*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1) (-.f64 1 (log1p.f64 (exp.f64 x))))
(pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))
(log.f64 (*.f64 (E.f64) (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(fma.f64 1 (log1p.f64 (exp.f64 x)) 1)
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2) -1)
(fma.f64 (log1p.f64 (exp.f64 x)) 1 1)
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) 1)
(fma.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) -1)
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) -1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (*.f64 x y) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (*.f64 x y) 2)))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (-.f64 1 (fma.f64 x y 1)))
(-.f64 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1) (fma.f64 x y 1))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (neg.f64 (cbrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (pow.f64 (*.f64 x y) 2))))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(-.f64 (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 -1 (log1p.f64 (exp.f64 x))))
(*.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)))
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 -1 (log1p.f64 (exp.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(/.f64 1 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 -1 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 -1 (log1p.f64 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (neg.f64 (-.f64 1 (log1p.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 -1 (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1) (+.f64 (log1p.f64 (exp.f64 x)) -1))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 -1 (log1p.f64 (exp.f64 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 -1 (log1p.f64 (exp.f64 x))))
(pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 3)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) 1/2)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1/3)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1) (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3))) -1)
(/.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 -1 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (/.f64 (-.f64 1 (log1p.f64 (exp.f64 x))) (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) -1)
(/.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 1 (log1p.f64 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (+.f64 -1 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (E.f64) (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(expm1.f64 (log.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x)))) 2))
(exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 1 (log1p.f64 (exp.f64 x)) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2) -1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (log1p.f64 (exp.f64 x)) 1 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))) 1)
(fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 1)
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) 1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (log1p.f64 (exp.f64 x))) 2)) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (+.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2)))))
(+.f64 1 (/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 2 (log1p.f64 (exp.f64 x)))))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) 1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 2 (log1p.f64 (exp.f64 x)))) 1)
(+.f64 1 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 2 (log1p.f64 (exp.f64 x)))))
(fma.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) 1 -1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2))) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) -1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)) -1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x))))) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) 1)

eval175.0ms (2.1%)

Compiler

Compiled 9471 to 4968 computations (47.5% saved)

prune111.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5545559
Fresh000
Picked101
Done134
Total5568564
Accurracy
100.0%
Counts
564 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.6%
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
93.3%
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
94.1%
(-.f64 (log.f64 2) (*.f64 x y))
49.5%
(+.f64 (*.f64 1/2 x) (log.f64 2))
40.9%
(*.f64 (-.f64 1/2 y) x)
51.9%
(*.f64 y (neg.f64 x))
49.1%
(log.f64 2)
Compiler

Compiled 117 to 94 computations (19.7% saved)

localize61.0ms (0.7%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
98.4%
(-.f64 (+.f64 (log.f64 2) 1) 1)
Compiler

Compiled 32 to 25 computations (21.9% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite104.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1240×fma-def
1080×log-prod
722×pow-prod-down
526×pow-exp
502×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01234
126622
2373722
Stop Event
node limit
Counts
2 → 235
Calls
Call 1
Inputs
(-.f64 (+.f64 (log.f64 2) 1) 1)
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
Outputs
(+.f64 (log1p.f64 1) 0)
(+.f64 1 (+.f64 (log1p.f64 1) -1))
(+.f64 (+.f64 (log1p.f64 1) 1) -1)
(+.f64 0 (log1p.f64 1))
(+.f64 -1 (+.f64 (log1p.f64 1) 1))
(*.f64 (log1p.f64 1) 1)
(*.f64 1 (log1p.f64 1))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (cbrt.f64 (log1p.f64 1)) 1))
(*.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)))
(*.f64 (sqrt.f64 (log1p.f64 1)) (*.f64 (sqrt.f64 (log1p.f64 1)) 1))
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(fma.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (-.f64 -1 (*.f64 x y)))
(fma.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 1) 1)) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 1) 1)) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 1) 1)) (-.f64 -1 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 1) 1)) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (-.f64 -1 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (+.f64 0 (*.f64 x (neg.f64 y))))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (*.f64 (sqrt.f64 (log1p.f64 1)) 1) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (*.f64 (sqrt.f64 (log1p.f64 1)) 1) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (*.f64 (sqrt.f64 (log1p.f64 1)) 1) (+.f64 0 (*.f64 x (neg.f64 y))))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (*.f64 (sqrt.f64 (log1p.f64 1)) 1) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log1p.f64 1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (-.f64 -1 (*.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (-.f64 -1 (*.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (-.f64 (fma.f64 (log1p.f64 1) (log1p.f64 1) 1) (log1p.f64 1))) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (-.f64 (fma.f64 (log1p.f64 1) (log1p.f64 1) 1) (log1p.f64 1))) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (-.f64 (fma.f64 (log1p.f64 1) (log1p.f64 1) 1) (log1p.f64 1))) (-.f64 -1 (*.f64 x y)))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (-.f64 (fma.f64 (log1p.f64 1) (log1p.f64 1) 1) (log1p.f64 1))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2))) (+.f64 0 (*.f64 x (neg.f64 y))))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 1))
(fma.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 1) -1)) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 1) -1)) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 1) -1)) (-.f64 -1 (*.f64 x y)))
(fma.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 1) -1)) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)) (+.f64 0 (*.f64 x (neg.f64 y))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (neg.f64 x) y (log1p.f64 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 1))
(fma.f64 (neg.f64 y) x (log1p.f64 1))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 1))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))) (+.f64 0 (*.f64 x (neg.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 1))

simplify168.0ms (2%)

Algorithm
egg-herbie
Rules
936×associate-/l*
738×unswap-sqr
668×cancel-sign-sub-inv
562×fma-neg
558×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04156525
19386147
228726047
Stop Event
node limit
Counts
259 → 287
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 1) 0)
(+.f64 1 (+.f64 (log1p.f64 1) -1))
(+.f64 (+.f64 (log1p.f64 1) 1) -1)
(+.f64 0 (log1p.f64 1))
(+.f64 -1 (+.f64 (log1p.f64 1) 1))
(*.f64 (log1p.f64 1) 1)
(*.f64 1 (log1p.f64 1))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (cbrt.f64 (log1p.f64 1)) 1))
(*.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)))
(*.f64 (sqrt.f64 (log1p.f64 1)) (*.f64 (sqrt.f64 (log1p.f64 1)) 1))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1))))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1))))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (-.f64 1 (*.f64 (+.f64 (log1p.f64 1) 1) -1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (+.f64 (log1p.f64 1) 2))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1))))) (neg.f64 (+.f64 (log1p.f64 1) 2)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) 0) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 0 (*.f64 (log1p.f64 1) 0))))
(/.f64 (fma.f64 (log1p.f64 1) (log1p.f64 1) 0) (log1p.f64 1))
(pow.f64 (log1p.f64 1) 1)
(pow.f64 (cbrt.f64 (log1p.f64 1)) 3)
(pow.f64 (pow.f64 (log1p.f64 1) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 1) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1))))) -1)
(pow.f64 (/.f64 (+.f64 (log1p.f64 1) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1))))) -1)
(sqrt.f64 (pow.f64 (log1p.f64 1) 2))
(log.f64 2)
(cbrt.f64 (pow.f64 (log1p.f64 1) 3))
(expm1.f64 (log1p.f64 (log1p.f64 1)))
(expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1))
(exp.f64 (log.f64 (log1p.f64 1)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 1))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 1)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 1))) 2))
(log1p.f64 1)
(fma.f64 (log1p.f64 1) 1 0)
(fma.f64 1 (log1p.f64 1) 0)
(fma.f64 1 (+.f64 (log1p.f64 1) 1) -1)
(fma.f64 (+.f64 (log1p.f64 1) 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (cbrt.f64 (log1p.f64 1)) 1) 0)
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) 0)
(fma.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (cbrt.f64 (+.f64 (log1p.f64 1) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 1) 1)) 1) -1)
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(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (-.f64 -1 (*.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (-.f64 -1 (*.f64 x y)))
(fma.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) (*.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (-.f64 (fma.f64 (log1p.f64 1) (log1p.f64 1) 1) (log1p.f64 1))) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (-.f64 (fma.f64 (log1p.f64 1) (log1p.f64 1) 1) (log1p.f64 1))) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (-.f64 (fma.f64 (log1p.f64 1) (log1p.f64 1) 1) (log1p.f64 1))) (-.f64 -1 (*.f64 x y)))
(fma.f64 (+.f64 1 (pow.f64 (log1p.f64 1) 3)) (/.f64 1 (-.f64 (fma.f64 (log1p.f64 1) (log1p.f64 1) 1) (log1p.f64 1))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 1)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2))) (+.f64 0 (*.f64 x (neg.f64 y))))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 -1 (*.f64 x y) (log1p.f64 1))
(fma.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 1) -1)) (neg.f64 (fma.f64 x y 1)))
(fma.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 1) -1)) (+.f64 -1 (*.f64 x (neg.f64 y))))
(fma.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 1) -1)) (-.f64 -1 (*.f64 x y)))
(fma.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) -1) (/.f64 1 (+.f64 (log1p.f64 1) -1)) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)) (+.f64 0 (*.f64 x (neg.f64 y))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (neg.f64 x) y (log1p.f64 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 1))
(fma.f64 (neg.f64 y) x (log1p.f64 1))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 1))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))) (+.f64 0 (*.f64 x (neg.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 1))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 2) (*.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log1p.f64 1) 0)
(log1p.f64 1)
(+.f64 1 (+.f64 (log1p.f64 1) -1))
(log1p.f64 1)
(+.f64 (+.f64 (log1p.f64 1) 1) -1)
(log1p.f64 1)
(+.f64 0 (log1p.f64 1))
(log1p.f64 1)
(+.f64 -1 (+.f64 (log1p.f64 1) 1))
(log1p.f64 1)
(*.f64 (log1p.f64 1) 1)
(log1p.f64 1)
(*.f64 1 (log1p.f64 1))
(log1p.f64 1)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)))
(log1p.f64 1)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (cbrt.f64 (log1p.f64 1)) 1))
(log1p.f64 1)
(*.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(log1p.f64 1)
(*.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)))
(log1p.f64 1)
(*.f64 (sqrt.f64 (log1p.f64 1)) (*.f64 (sqrt.f64 (log1p.f64 1)) 1))
(log1p.f64 1)
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 1)) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (log1p.f64 1) (+.f64 2 (pow.f64 (+.f64 1 (log1p.f64 1)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 1)) 2) (+.f64 2 (log1p.f64 1))))
(*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)))
(/.f64 1 (/.f64 (+.f64 2 (log1p.f64 1)) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (+.f64 2 (log1p.f64 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1))))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 1)) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (log1p.f64 1) (+.f64 2 (pow.f64 (+.f64 1 (log1p.f64 1)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 1)) 2) (+.f64 2 (log1p.f64 1))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 1) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1))))))
(/.f64 1 (/.f64 (+.f64 2 (log1p.f64 1)) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (+.f64 2 (log1p.f64 1)))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2)))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 1)) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (log1p.f64 1) (+.f64 2 (pow.f64 (+.f64 1 (log1p.f64 1)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 1)) 2) (+.f64 2 (log1p.f64 1))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (-.f64 1 (*.f64 (+.f64 (log1p.f64 1) 1) -1))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 1)) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (log1p.f64 1) (+.f64 2 (pow.f64 (+.f64 1 (log1p.f64 1)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 1)) 2) (+.f64 2 (log1p.f64 1))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (+.f64 (log1p.f64 1) 2))
(/.f64 1 (/.f64 (+.f64 2 (log1p.f64 1)) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (+.f64 2 (log1p.f64 1)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log1p.f64 1) 1) 2) (+.f64 (log1p.f64 1) 2))))
(*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 1)) 2) (+.f64 2 (log1p.f64 1)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (log1p.f64 1) (+.f64 2 (pow.f64 (+.f64 1 (log1p.f64 1)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 1)))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 1)) 2) (+.f64 2 (log1p.f64 1))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1))))) (neg.f64 (+.f64 (log1p.f64 1) 2)))
(/.f64 1 (/.f64 (+.f64 2 (log1p.f64 1)) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (+.f64 2 (log1p.f64 1)))
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(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 1)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 1))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 y x (log1p.f64 1)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 2 (log1p.f64 1))) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (+.f64 2 (log1p.f64 1))) (*.f64 y x))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 2 (log1p.f64 1))) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (+.f64 2 (log1p.f64 1))) (*.f64 y x))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)) (+.f64 0 (*.f64 x (neg.f64 y))))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 2 (log1p.f64 1))) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (+.f64 2 (log1p.f64 1))) (*.f64 y x))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 (log1p.f64 1) 2)) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (/.f64 1 (+.f64 2 (log1p.f64 1))) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 1)))) (+.f64 2 (log1p.f64 1))) (*.f64 y x))
(fma.f64 (neg.f64 x) y (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (neg.f64 y) x (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2))) (*.f64 y x))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2)) (*.f64 y (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2))) (*.f64 y x))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2)) (*.f64 y (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))) (+.f64 0 (*.f64 x (neg.f64 y))))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2))) (*.f64 y x))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2)) (*.f64 y (neg.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log1p.f64 1) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 1)))) (-.f64 1 (fma.f64 x y 1)))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2)) (*.f64 x (neg.f64 y)))
(-.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2))) (*.f64 y x))
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (log1p.f64 1)))) (expm1.f64 (*.f64 (log1p.f64 (log1p.f64 1)) 1/2)) (*.f64 y (neg.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 1))
(-.f64 (log1p.f64 1) (*.f64 y x))
(fma.f64 y (neg.f64 x) (log1p.f64 1))

localize26.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (-.f64 1/2 y) x)
Compiler

Compiled 14 to 9 computations (35.7% saved)

localize18.0ms (0.2%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize37.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 1/2 x) (log.f64 2))
Compiler

Compiled 17 to 14 computations (17.6% saved)

series0.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite60.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1824×pow1
1692×add-exp-log
1690×log1p-expm1-u
1690×expm1-log1p-u
1660×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
118813
2232413
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
Outputs
(-.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 (*.f64 x (log.f64 2))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))

simplify71.0ms (0.8%)

Algorithm
egg-herbie
Rules
954×fma-neg
832×cancel-sign-sub-inv
774×associate-*r*
734×associate-*l*
654×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0941330
12331136
2727924
34059924
Stop Event
node limit
Counts
38 → 44
Calls
Call 1
Inputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 (*.f64 x (log.f64 2))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
Outputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 (*.f64 x (log.f64 2))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (*.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (*.f64 x -1/2)) (*.f64 1/4 (*.f64 x x))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (fma.f64 x (*.f64 x -1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 x 1/2 (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(+.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) 1))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 0)
(fma.f64 1/2 x (log.f64 2))

localize101.0ms (1.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
100.0%
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
99.0%
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
Compiler

Compiled 52 to 41 computations (21.2% saved)

series2.0ms (0%)

Counts
3 → 45
Calls

12 calls:

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

rewrite102.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1506×log-prod
984×fma-neg
592×expm1-udef
588×log1p-udef
356×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01581
134057
2486157
Stop Event
node limit
Counts
3 → 196
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
Outputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (+.f64 1 (log.f64 2)) (fma.f64 1/2 x -1))
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 x) -1))
(+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1)
(+.f64 0 (fma.f64 1/2 x (log.f64 2)))
(+.f64 -1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))
(+.f64 (fma.f64 1/2 x 1) (-.f64 (log.f64 2) 1))
(+.f64 (fma.f64 1/2 x 1) (+.f64 (log.f64 2) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)) (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (-.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) -1)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) -1) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) -1)) (neg.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) 2))
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(fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 1 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) 1 (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (-.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (*.f64 x (neg.f64 y)))

simplify188.0ms (2.2%)

Algorithm
egg-herbie
Rules
1560×fma-neg
1098×unswap-sqr
936×times-frac
678×fma-def
428×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04467419
111337103
241677099
Stop Event
node limit
Counts
241 → 276
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 1 (log.f64 2))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (+.f64 1 (log.f64 2)) (fma.f64 1/2 x -1))
(+.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 x) -1))
(+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1)
(+.f64 0 (fma.f64 1/2 x (log.f64 2)))
(+.f64 -1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))
(+.f64 (fma.f64 1/2 x 1) (-.f64 (log.f64 2) 1))
(+.f64 (fma.f64 1/2 x 1) (+.f64 (log.f64 2) -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)) (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (-.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) -1)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) -1) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) -1)) (neg.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (log.f64 2)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1)
(fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) -1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) -1)
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) -1)
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) -1)
(fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) -1)
(-.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1)
(-.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (/.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (-.f64 (fma.f64 1/2 x -1) (log.f64 2))))
(*.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))
(*.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1)
(*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1))
(*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1))
(*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 1/2 x -1) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x)))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 (*.f64 x (+.f64 1 (log.f64 2)))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (-.f64 (fma.f64 1/2 x -1) (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2))) (neg.f64 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (fma.f64 1/2 x 1) (fma.f64 1/2 x 1)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (fma.f64 1/2 x 1) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 2)) 2) (*.f64 1/4 (*.f64 x x))) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 (fma.f64 1/2 x 1) (fma.f64 1/2 x 1)) (pow.f64 (log.f64 2) 2)) (-.f64 (fma.f64 1/2 x 1) (log.f64 2)))
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) 1) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) 1) (-.f64 (fma.f64 1/2 x -1) (log.f64 2)))
(pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1)
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2)
(sqrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2))
(log.f64 (*.f64 (exp.f64 (fma.f64 1/2 x 1)) 2))
(log.f64 (+.f64 1 (fma.f64 (exp.f64 (fma.f64 1/2 x 1)) 2 -1)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) (+.f64 1 (fma.f64 2 (E.f64) -1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (*.f64 2 (E.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (+.f64 1 (fma.f64 2 (E.f64) -1))))
(log.f64 (*.f64 2 (exp.f64 (fma.f64 1/2 x 1))))
(log.f64 (*.f64 (*.f64 2 (E.f64)) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (E.f64) -1)) (pow.f64 (exp.f64 1/2) x)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 2 (E.f64) -1)) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))
(exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(log1p.f64 (fma.f64 (exp.f64 (fma.f64 1/2 x 1)) 2 -1))
(fma.f64 1/2 x (+.f64 1 (log.f64 2)))
(fma.f64 x 1/2 (+.f64 1 (log.f64 2)))
(fma.f64 1 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(fma.f64 1 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) -1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (+.f64 1 (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 2))) 2) (cbrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (+.f64 1 (log.f64 2)))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 2))) (sqrt.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 x))
(fma.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (cbrt.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))) (cbrt.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (sqrt.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) -1)
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 x (neg.f64 y))))
(+.f64 (*.f64 1/2 x) (-.f64 (+.f64 1 (log.f64 2)) (+.f64 1 (*.f64 x y))))
(+.f64 (*.f64 1/2 x) (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (+.f64 1 (log.f64 2)) (-.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 x y))))
(+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (neg.f64 (+.f64 1 (*.f64 x y))))
(+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (+.f64 -1 (*.f64 x (neg.f64 y))))
(+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (-.f64 -1 (*.f64 x y)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 0 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (fma.f64 1/2 x 1) (-.f64 (log.f64 2) (+.f64 1 (*.f64 x y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) (cbrt.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))))
(*.f64 1 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))
(*.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) (sqrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 3) (pow.f64 (+.f64 1 (*.f64 x y)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 (*.f64 (+.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 x y))) (*.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (+.f64 1 (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (*.f64 (+.f64 1 (*.f64 x y)) (+.f64 1 (*.f64 x y)))) (+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (+.f64 1 (*.f64 x y))))
(pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))))
(log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2) (/.f64 1 (pow.f64 (exp.f64 y) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (exp.f64 (*.f64 x (neg.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (/.f64 1 (pow.f64 (exp.f64 y) x))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) x)) (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) x)) (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))
(log.f64 (/.f64 (+.f64 1 (fma.f64 (exp.f64 (fma.f64 1/2 x 1)) 2 -1)) (exp.f64 (+.f64 1 (*.f64 x y)))))
(log.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (exp.f64 y) x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 1 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) 1 (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (-.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (*.f64 x (neg.f64 y)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
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(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 3)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 3) 1/3)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2)
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2) (/.f64 1 (pow.f64 (exp.f64 y) x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (exp.f64 (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (/.f64 1 (pow.f64 (exp.f64 y) x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) x)) (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) x)) (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (/.f64 (+.f64 1 (fma.f64 (exp.f64 (fma.f64 1/2 x 1)) 2 -1)) (exp.f64 (+.f64 1 (*.f64 x y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (pow.f64 (exp.f64 y) x)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 3))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 1))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) 1 (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (+.f64 1 (*.f64 x y))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (neg.f64 (+.f64 1 (*.f64 x y))))
(+.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 (log.f64 2) 1) 3)) (fma.f64 1/4 (*.f64 x x) (*.f64 (+.f64 (log.f64 2) 1) (+.f64 (+.f64 (log.f64 2) 1) (*.f64 -1/2 x))))) (-.f64 -1 (*.f64 x y)))
(-.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 (log.f64 2) 1) 3)) (fma.f64 (+.f64 (log.f64 2) 1) (+.f64 (log.f64 2) (+.f64 1 (*.f64 x -1/2))) (*.f64 1/4 (*.f64 x x)))) (fma.f64 x y 1))
(-.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 (log.f64 2) 1) 3)) (fma.f64 (+.f64 (log.f64 2) 1) (+.f64 1 (+.f64 (log.f64 2) (*.f64 x -1/2))) (*.f64 x (*.f64 x 1/4)))) (fma.f64 x y 1))
(fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(+.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 (log.f64 2) 1) 3)) (fma.f64 1/4 (*.f64 x x) (*.f64 (+.f64 (log.f64 2) 1) (+.f64 (+.f64 (log.f64 2) 1) (*.f64 -1/2 x))))) (-.f64 -1 (*.f64 x y)))
(-.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 (log.f64 2) 1) 3)) (fma.f64 (+.f64 (log.f64 2) 1) (+.f64 (log.f64 2) (+.f64 1 (*.f64 x -1/2))) (*.f64 1/4 (*.f64 x x)))) (fma.f64 x y 1))
(-.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (+.f64 (log.f64 2) 1) 3)) (fma.f64 (+.f64 (log.f64 2) 1) (+.f64 1 (+.f64 (log.f64 2) (*.f64 x -1/2))) (*.f64 x (*.f64 x 1/4)))) (fma.f64 x y 1))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))) (*.f64 x (neg.f64 y)))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 (+.f64 (log.f64 2) 1) (fma.f64 1/2 x 1)))) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3)) (+.f64 1 (+.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2)))) (*.f64 x y))
(-.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 3)) (+.f64 1 (+.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2)))) (*.f64 x y))
(fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (neg.f64 (+.f64 1 (*.f64 x y))))
(+.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 (log.f64 2) 1) 2)) (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (-.f64 -1 (*.f64 x y)))
(-.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 (log.f64 2) 1) 2)) (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (fma.f64 x y 1))
(-.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)) (+.f64 (neg.f64 (fma.f64 1/2 x -1)) (log.f64 2))) (fma.f64 x y 1))
(fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))
(+.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 (log.f64 2) 1) 2)) (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (-.f64 -1 (*.f64 x y)))
(-.f64 (/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 (log.f64 2) 1) 2)) (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (fma.f64 x y 1))
(-.f64 (/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)) (+.f64 (neg.f64 (fma.f64 1/2 x -1)) (log.f64 2))) (fma.f64 x y 1))
(fma.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) -1) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2)) (/.f64 1 (+.f64 (+.f64 (log.f64 2) 1) (fma.f64 1/2 x 1))) (*.f64 x (neg.f64 y)))
(-.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2)) (+.f64 (log.f64 2) (+.f64 (fma.f64 1/2 x 1) 1))) (*.f64 x y))
(-.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 2)) (+.f64 1 (+.f64 1 (fma.f64 1/2 x (log.f64 2))))) (*.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (-.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (*.f64 x (neg.f64 y)))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval303.0ms (3.6%)

Compiler

Compiled 11508 to 8374 computations (27.2% saved)

prune187.0ms (2.2%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New6424646
Fresh000
Picked011
Done077
Total64212654
Accurracy
100.0%
Counts
654 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.7%
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
87.6%
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
93.3%
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
40.9%
(-.f64 (*.f64 1/2 x) (*.f64 x y))
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
94.1%
(-.f64 (log.f64 2) (*.f64 x y))
49.5%
(+.f64 (*.f64 1/2 x) (log.f64 2))
26.2%
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
40.9%
(*.f64 (-.f64 1/2 y) x)
51.9%
(*.f64 y (neg.f64 x))
3.6%
(*.f64 1/2 x)
49.1%
(log.f64 2)
Compiler

Compiled 110 to 83 computations (24.5% saved)

localize16.0ms (0.2%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize51.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 x (+.f64 1/2 y))
77.0%
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
Compiler

Compiled 34 to 19 computations (44.1% saved)

series54.0ms (0.6%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
49.0ms
y
@-inf
(/.f64 x (+.f64 1/2 y))
1.0ms
x
@0
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
1.0ms
y
@inf
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
0.0ms
y
@0
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
0.0ms
x
@inf
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))

rewrite124.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1170×log-prod
804×pow-prod-down
530×pow-prod-up
516×pow-exp
444×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
125032
2343832
Stop Event
node limit
Counts
2 → 97
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (+.f64 1/2 y))
Outputs
(+.f64 0 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 1)
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 1 (/.f64 (+.f64 1/2 y) (*.f64 x (-.f64 1/4 (*.f64 y y)))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 y y 1/4)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (*.f64 (+.f64 1/2 y) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (*.f64 (+.f64 1/2 y) (fma.f64 y y 1/4)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1/64 (pow.f64 y 6))) (*.f64 (fma.f64 -1 y -1/2) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1/16 (pow.f64 y 4))) (*.f64 (fma.f64 -1 y -1/2) (fma.f64 y y 1/4)))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) 1) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (/.f64 (+.f64 1/2 y) x)))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) (neg.f64 x)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (fma.f64 -1 y -1/2)))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (*.f64 (fma.f64 y y 1/4) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) 1) (*.f64 (fma.f64 y y 1/4) (/.f64 (+.f64 1/2 y) x)))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) (neg.f64 x)) (*.f64 (fma.f64 y y 1/4) (fma.f64 -1 y -1/2)))
(/.f64 (neg.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 x)) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1/4 (*.f64 y y))) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 x (+.f64 1/2 y))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 x (+.f64 1/2 y))) (fma.f64 y y 1/4))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 2)
(pow.f64 (/.f64 (+.f64 1/2 y) (*.f64 x (-.f64 1/4 (*.f64 y y)))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(+.f64 0 (/.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1/2 y)))) 1)
(*.f64 x (/.f64 1 (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) 1)
(*.f64 1 (/.f64 x (+.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1/2 y))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1/2 y))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y))) (sqrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 y -1/2)))
(*.f64 (/.f64 1 (+.f64 1/2 y)) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) -2) (/.f64 x (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (pow.f64 (+.f64 1/2 y) -1/2) (/.f64 x (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1/2 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(pow.f64 (/.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y))) 2)
(pow.f64 (/.f64 (+.f64 1/2 y) x) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 1/2 y) x) 1) -1)
(neg.f64 (/.f64 x (fma.f64 -1 y -1/2)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1/2 y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 1/2 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 1/2 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (+.f64 1/2 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 y) x)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1/2 y))))

simplify79.0ms (0.9%)

Algorithm
egg-herbie
Rules
1980×fma-def
1150×distribute-lft-in
1088×distribute-rgt-in
692×unswap-sqr
308×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02943807
17313531
227913387
Stop Event
node limit
Counts
133 → 172
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 -4 (*.f64 y x)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -4 (*.f64 y x)) (*.f64 8 (*.f64 (pow.f64 y 2) x))))
(+.f64 (*.f64 -16 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -4 (*.f64 y x)) (*.f64 8 (*.f64 (pow.f64 y 2) x)))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2)))))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2)))))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(+.f64 0 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 1)
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 1 (/.f64 (+.f64 1/2 y) (*.f64 x (-.f64 1/4 (*.f64 y y)))))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (-.f64 1/16 (pow.f64 y 4)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 y y 1/4)))
(/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))
(/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (*.f64 (+.f64 1/2 y) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (*.f64 (+.f64 1/2 y) (fma.f64 y y 1/4)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1/64 (pow.f64 y 6))) (*.f64 (fma.f64 -1 y -1/2) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1/16 (pow.f64 y 4))) (*.f64 (fma.f64 -1 y -1/2) (fma.f64 y y 1/4)))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) 1) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (/.f64 (+.f64 1/2 y) x)))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) (neg.f64 x)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16) (fma.f64 -1 y -1/2)))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (*.f64 (fma.f64 y y 1/4) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) 1) (*.f64 (fma.f64 y y 1/4) (/.f64 (+.f64 1/2 y) x)))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) (neg.f64 x)) (*.f64 (fma.f64 y y 1/4) (fma.f64 -1 y -1/2)))
(/.f64 (neg.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 x)) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 (neg.f64 x) (-.f64 1/4 (*.f64 y y))) (fma.f64 -1 y -1/2))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) (/.f64 x (+.f64 1/2 y))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) (/.f64 x (+.f64 1/2 y))) (fma.f64 y y 1/4))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.f64 1/2 y))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.f64 1/2 y)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.f64 1/2 y)))
(pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 2)
(pow.f64 (/.f64 (+.f64 1/2 y) (*.f64 x (-.f64 1/4 (*.f64 y y)))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(+.f64 0 (/.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1/2 y)))) 1)
(*.f64 x (/.f64 1 (+.f64 1/2 y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) 1)
(*.f64 1 (/.f64 x (+.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1/2 y))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1/2 y))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y))) (sqrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 y -1/2)))
(*.f64 (/.f64 1 (+.f64 1/2 y)) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) -2) (/.f64 x (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (pow.f64 (+.f64 1/2 y) -1/2) (/.f64 x (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1/2 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(*.f64 (/.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(pow.f64 (/.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y))) 2)
(pow.f64 (/.f64 (+.f64 1/2 y) x) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 1/2 y) x) 1) -1)
(neg.f64 (/.f64 x (fma.f64 -1 y -1/2)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1/2 y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 1/2 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 1/2 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (+.f64 1/2 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 y) x)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1/2 y))))
Outputs
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 -4 (*.f64 y x)))
(fma.f64 2 x (*.f64 (*.f64 y x) -4))
(*.f64 x (+.f64 2 (*.f64 y -4)))
(*.f64 x (fma.f64 y -4 2))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 -4 (*.f64 y x)) (*.f64 8 (*.f64 (pow.f64 y 2) x))))
(fma.f64 2 x (fma.f64 -4 (*.f64 y x) (*.f64 8 (*.f64 x (*.f64 y y)))))
(fma.f64 2 x (*.f64 x (+.f64 (*.f64 y -4) (*.f64 8 (*.f64 y y)))))
(*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y)))))
(+.f64 (*.f64 -16 (*.f64 (pow.f64 y 3) x)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 -4 (*.f64 y x)) (*.f64 8 (*.f64 (pow.f64 y 2) x)))))
(fma.f64 -16 (*.f64 x (pow.f64 y 3)) (fma.f64 2 x (fma.f64 -4 (*.f64 y x) (*.f64 8 (*.f64 x (*.f64 y y))))))
(fma.f64 -16 (*.f64 x (pow.f64 y 3)) (fma.f64 2 x (*.f64 x (+.f64 (*.f64 y -4) (*.f64 8 (*.f64 y y))))))
(*.f64 x (+.f64 (*.f64 y (+.f64 -4 (*.f64 8 y))) (fma.f64 -16 (pow.f64 y 3) 2)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y))))
(fma.f64 -1/2 (/.f64 x (*.f64 y y)) (/.f64 x y))
(*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2)))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y))))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (*.f64 -1/8 (/.f64 x (pow.f64 y 4)))) (fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(+.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1/4 y) -1/2)) (fma.f64 -1/8 (/.f64 x (pow.f64 y 4)) (/.f64 x y)))
(/.f64 x y)
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y))))
(fma.f64 -1/2 (/.f64 x (*.f64 y y)) (/.f64 x y))
(*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (pow.f64 y 2)))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y))))
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 x (pow.f64 y 2))) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (*.f64 -1/8 (/.f64 x (pow.f64 y 4))))))
(+.f64 (fma.f64 -1/2 (/.f64 x (*.f64 y y)) (*.f64 -1/8 (/.f64 x (pow.f64 y 4)))) (fma.f64 1/4 (/.f64 x (pow.f64 y 3)) (/.f64 x y)))
(+.f64 (*.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1/4 y) -1/2)) (fma.f64 -1/8 (/.f64 x (pow.f64 y 4)) (/.f64 x y)))
(+.f64 0 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 1)
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 1 (/.f64 (+.f64 1/2 y) (*.f64 x (-.f64 1/4 (*.f64 y y)))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (/.f64 x (+.f64 y 1/2)) (-.f64 1/4 (*.f64 y y)))
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 y 1/2)))
(/.f64 (-.f64 1/64 (pow.f64 y 6)) (*.f64 (/.f64 (+.f64 1/2 y) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)))
(/.f64 x (/.f64 (*.f64 (+.f64 y 1/2) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16)) (-.f64 1/64 (pow.f64 y 6))))
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(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 y 1/2))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2))
(*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) (/.f64 x (-.f64 1/4 (*.f64 y y))))
(*.f64 (/.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(*.f64 (/.f64 x (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)) (+.f64 (pow.f64 y 3) 1/8))
(pow.f64 (/.f64 x (+.f64 1/2 y)) 1)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y))) 3)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2) 1/2)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3) 1/3)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y))) 2)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (/.f64 (+.f64 1/2 y) x) -1)
(/.f64 x (+.f64 y 1/2))
(pow.f64 (/.f64 (/.f64 (+.f64 1/2 y) x) 1) -1)
(/.f64 x (+.f64 y 1/2))
(neg.f64 (/.f64 x (fma.f64 -1 y -1/2)))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 y -1/2)))
(/.f64 (neg.f64 x) (fma.f64 -1 y -1/2))
(/.f64 (neg.f64 x) (-.f64 -1/2 y))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2))
(/.f64 x (+.f64 y 1/2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1/2 y))))
(/.f64 x (+.f64 y 1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1/2 y)))))
(/.f64 x (+.f64 y 1/2))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 3))
(/.f64 x (+.f64 y 1/2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1/2 y) 3)))
(/.f64 x (+.f64 y 1/2))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1/2 y))))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (log.f64 (/.f64 x (+.f64 1/2 y))))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 1/2 y))) 1))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (+.f64 1/2 y))) 1) 1))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y)))) 3))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (+.f64 1/2 y)))) 1/3))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y)))) 2))
(/.f64 x (+.f64 y 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 y) x)) -1))
(/.f64 x (+.f64 y 1/2))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1/2 y))))
(/.f64 x (+.f64 y 1/2))

localize31.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 1/2 x) (*.f64 x y))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (*.f64 1/2 x) (*.f64 x y))
0.0ms
x
@0
(-.f64 (*.f64 1/2 x) (*.f64 x y))
0.0ms
x
@-inf
(-.f64 (*.f64 1/2 x) (*.f64 x y))
0.0ms
y
@-inf
(-.f64 (*.f64 1/2 x) (*.f64 x y))
0.0ms
y
@inf
(-.f64 (*.f64 1/2 x) (*.f64 x y))

rewrite65.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1928×pow1
1786×add-exp-log
1786×log1p-expm1-u
1786×expm1-log1p-u
190×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
118313
2244413
Stop Event
node limit
Counts
1 → 50
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 x) (*.f64 x y))
Outputs
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (*.f64 x (-.f64 1/2 y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y))))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)))) (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 1/2 y)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2)) (*.f64 x (+.f64 1/2 y)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2))) (neg.f64 (*.f64 x (+.f64 1/2 y))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(fma.f64 1 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (*.f64 x (neg.f64 y)))

simplify106.0ms (1.2%)

Algorithm
egg-herbie
Rules
1782×fma-def
1240×times-frac
650×associate-/l*
524×cancel-sign-sub-inv
426×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01421724
13971560
216271402
Stop Event
node limit
Counts
74 → 69
Calls
Call 1
Inputs
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/2 x) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(+.f64 (*.f64 x (-.f64 1/2 y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y))))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)))) (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 1/2 y)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2)) (*.f64 x (+.f64 1/2 y)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2))) (neg.f64 (*.f64 x (+.f64 1/2 y))))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(fma.f64 1 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (*.f64 x (neg.f64 y)))
Outputs
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (*.f64 (*.f64 x (neg.f64 y)) 1))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 x (neg.f64 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 x (-.f64 1/2 y)) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 1))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 x (-.f64 1/2 y)) (+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (*.f64 x (-.f64 1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 x (neg.f64 y)) (*.f64 1/2 x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y))))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 x (+.f64 1/2 y))))))
(/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/8 (pow.f64 y 3))) (fma.f64 (*.f64 y x) (*.f64 x (+.f64 1/2 y)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (pow.f64 x 3) (/.f64 (*.f64 x (+.f64 (*.f64 x 1/4) (*.f64 (*.f64 y x) (+.f64 1/2 y)))) (-.f64 1/8 (pow.f64 y 3))))
(*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(*.f64 (-.f64 (*.f64 (*.f64 1/4 x) x) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 y y))) (*.f64 x (+.f64 1/2 y)))
(*.f64 (/.f64 x 1) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 x y))))
(*.f64 (-.f64 1/2 y) x)
(/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)))) (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x y) 3))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 x (+.f64 1/2 y))))))
(/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/8 (pow.f64 y 3))) (fma.f64 (*.f64 y x) (*.f64 x (+.f64 1/2 y)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (pow.f64 x 3) (/.f64 (*.f64 x (+.f64 (*.f64 x 1/4) (*.f64 (*.f64 y x) (+.f64 1/2 y)))) (-.f64 1/8 (pow.f64 y 3))))
(/.f64 1 (/.f64 (*.f64 x (+.f64 1/2 y)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2))))
(*.f64 (-.f64 (*.f64 (*.f64 1/4 x) x) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 y y))) (*.f64 x (+.f64 1/2 y)))
(*.f64 (/.f64 x 1) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 x (+.f64 1/2 y))))))
(/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/8 (pow.f64 y 3))) (fma.f64 (*.f64 y x) (*.f64 x (+.f64 1/2 y)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (pow.f64 x 3) (/.f64 (*.f64 x (+.f64 (*.f64 x 1/4) (*.f64 (*.f64 y x) (+.f64 1/2 y)))) (-.f64 1/8 (pow.f64 y 3))))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2)) (*.f64 x (+.f64 1/2 y)))
(*.f64 (-.f64 (*.f64 (*.f64 1/4 x) x) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 y y))) (*.f64 x (+.f64 1/2 y)))
(*.f64 (/.f64 x 1) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (neg.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y))))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 x (+.f64 1/2 y))))))
(/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/8 (pow.f64 y 3))) (fma.f64 (*.f64 y x) (*.f64 x (+.f64 1/2 y)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (pow.f64 x 3) (/.f64 (*.f64 x (+.f64 (*.f64 x 1/4) (*.f64 (*.f64 y x) (+.f64 1/2 y)))) (-.f64 1/8 (pow.f64 y 3))))
(/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (*.f64 x y) 2))) (neg.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 (-.f64 (*.f64 (*.f64 1/4 x) x) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 y y))) (*.f64 x (+.f64 1/2 y)))
(*.f64 (/.f64 x 1) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))))
(*.f64 (-.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 1/4 (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 x (+.f64 1/2 y))))))
(/.f64 (*.f64 (pow.f64 x 3) (-.f64 1/8 (pow.f64 y 3))) (fma.f64 (*.f64 y x) (*.f64 x (+.f64 1/2 y)) (*.f64 x (*.f64 x 1/4))))
(/.f64 (pow.f64 x 3) (/.f64 (*.f64 x (+.f64 (*.f64 x 1/4) (*.f64 (*.f64 y x) (+.f64 1/2 y)))) (-.f64 1/8 (pow.f64 y 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 y x)) 3)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 y x)) (-.f64 (fma.f64 (neg.f64 y) x (*.f64 y x)) (*.f64 (-.f64 1/2 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (*.f64 0 (*.f64 y x)) 3)) (fma.f64 (*.f64 0 (*.f64 y x)) (-.f64 (*.f64 0 (*.f64 y x)) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))
(/.f64 (+.f64 0 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))
(*.f64 (-.f64 (*.f64 (*.f64 1/4 x) x) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 y y))) (*.f64 x (+.f64 1/2 y)))
(*.f64 (/.f64 x 1) (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 y x)) (fma.f64 (neg.f64 y) x (*.f64 y x)))) (-.f64 (*.f64 (-.f64 1/2 y) x) (fma.f64 (neg.f64 y) x (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (*.f64 0 (*.f64 y x)) (*.f64 0 (*.f64 y x)))) (fma.f64 (-.f64 1/2 y) x (*.f64 0 (*.f64 y x))))
(/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 (-.f64 1/2 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(*.f64 (-.f64 1/2 y) x)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(*.f64 (-.f64 1/2 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(*.f64 (-.f64 1/2 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(*.f64 (-.f64 1/2 y) x)
(log.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(*.f64 (-.f64 1/2 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(*.f64 (-.f64 1/2 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1 (*.f64 1/2 x) (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (*.f64 x (neg.f64 y)))
(*.f64 (-.f64 1/2 y) x)

localize96.0ms (1.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
71.0%
(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))
Compiler

Compiled 38 to 21 computations (44.7% saved)

series1.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))
0.0ms
y
@0
(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))
0.0ms
y
@-inf
(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))
0.0ms
x
@-inf
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
0.0ms
x
@0
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))

rewrite84.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1260×log-prod
740×pow-prod-down
542×pow-prod-up
526×pow-exp
452×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01156
125626
2369126
Stop Event
node limit
Counts
2 → 102
Calls
Call 1
Inputs
(/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
Outputs
(+.f64 0 (/.f64 1 (-.f64 1/2 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y)))) 1)
(*.f64 (+.f64 1/2 y) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(*.f64 1 (/.f64 1 (-.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (/.f64 1 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (sqrt.f64 (+.f64 1/2 y)) (*.f64 (sqrt.f64 (+.f64 1/2 y)) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1/2 y))) (/.f64 1 (sqrt.f64 (-.f64 1/2 y))))
(*.f64 (fma.f64 -1 y -1/2) (/.f64 1 (neg.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (/.f64 (+.f64 1/2 y) (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (/.f64 (+.f64 1/2 y) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) 1) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(*.f64 (/.f64 (+.f64 1/2 y) (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(pow.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (-.f64 1/2 y) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 1/2 y))) 2)
(pow.f64 (-.f64 1/2 y) -1)
(pow.f64 (/.f64 (-.f64 1/2 y) 1) -1)
(neg.f64 (/.f64 (+.f64 1/2 y) (neg.f64 (fma.f64 y (neg.f64 y) 1/4))))
(sqrt.f64 (pow.f64 (-.f64 1/2 y) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1/2 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 y) 3) (pow.f64 (fma.f64 y (neg.f64 y) 1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y))))
(exp.f64 (neg.f64 (log.f64 (-.f64 1/2 y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (-.f64 1/2 y))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 1/2 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (neg.f64 (log.f64 (-.f64 1/2 y)))) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (-.f64 1/2 y)))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 y)) -1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1/2 y))))
(+.f64 0 (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 (/.f64 x (+.f64 1/2 y)) 1/4) (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
(+.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
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(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 x (-.f64 1/2 y)) 1)
(*.f64 1 (*.f64 x (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (/.f64 x (+.f64 1/2 y)) (fma.f64 y (neg.f64 y) 1/4))
(*.f64 (/.f64 1 (+.f64 1/2 y)) (/.f64 x (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2))) (/.f64 x (/.f64 1 (cbrt.f64 (-.f64 1/2 y)))))
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(*.f64 (/.f64 x (fma.f64 -1 y -1/2)) (neg.f64 (fma.f64 y (neg.f64 y) 1/4)))
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(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 1/2)
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(pow.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) -1)
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(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1) 1))
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(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))

simplify95.0ms (1.1%)

Algorithm
egg-herbie
Rules
1128×fma-def
978×unswap-sqr
976×associate-*r/
844×distribute-lft-in
828×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03063654
17653196
223843112
Stop Event
node limit
Counts
138 → 180
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 4 y))
(+.f64 2 (+.f64 (*.f64 4 y) (*.f64 8 (pow.f64 y 2))))
(+.f64 2 (+.f64 (*.f64 4 y) (+.f64 (*.f64 8 (pow.f64 y 2)) (*.f64 16 (pow.f64 y 3)))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
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(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
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(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
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(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
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(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) -1)
(pow.f64 (/.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) 1) -1)
(neg.f64 (/.f64 x (/.f64 -1 (-.f64 1/2 y))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (-.f64 1/2 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (-.f64 1/2 y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) -1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 x (+.f64 1/2 y))))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
Outputs
2
(+.f64 2 (*.f64 4 y))
(fma.f64 4 y 2)
(+.f64 2 (+.f64 (*.f64 4 y) (*.f64 8 (pow.f64 y 2))))
(+.f64 2 (fma.f64 4 y (*.f64 8 (*.f64 y y))))
(+.f64 (fma.f64 4 y 2) (*.f64 y (*.f64 y 8)))
(fma.f64 4 y (fma.f64 y (*.f64 y 8) 2))
(+.f64 2 (+.f64 (*.f64 4 y) (+.f64 (*.f64 8 (pow.f64 y 2)) (*.f64 16 (pow.f64 y 3)))))
(+.f64 2 (fma.f64 4 y (fma.f64 8 (*.f64 y y) (*.f64 16 (pow.f64 y 3)))))
(+.f64 (fma.f64 4 y 2) (fma.f64 16 (pow.f64 y 3) (*.f64 y (*.f64 y 8))))
(+.f64 (fma.f64 4 y 2) (*.f64 (*.f64 y y) (+.f64 8 (*.f64 y 16))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(-.f64 (/.f64 -1 y) (/.f64 (/.f64 1/2 y) y))
(+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3)))))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 1/2 y) y)) (/.f64 1/4 (pow.f64 y 3)))
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (/.f64 -1/4 (pow.f64 y 3)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3))) (/.f64 1/8 (pow.f64 y 4)))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1/4 (pow.f64 y 3)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/8 (pow.f64 y 4)))))
(+.f64 (-.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3))) (-.f64 (/.f64 -1 y) (/.f64 1/8 (pow.f64 y 4))))
(/.f64 -1 y)
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(-.f64 (/.f64 -1 y) (/.f64 (/.f64 1/2 y) y))
(+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3)))))
(-.f64 (-.f64 (/.f64 -1 y) (/.f64 (/.f64 1/2 y) y)) (/.f64 1/4 (pow.f64 y 3)))
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (/.f64 -1/4 (pow.f64 y 3)))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/4 (/.f64 1 (pow.f64 y 3)))))))
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3))) (/.f64 1/8 (pow.f64 y 4)))))
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 1/4 (pow.f64 y 3)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/8 (pow.f64 y 4)))))
(+.f64 (-.f64 (/.f64 -1/2 (*.f64 y y)) (/.f64 1/4 (pow.f64 y 3))) (-.f64 (/.f64 -1 y) (/.f64 1/8 (pow.f64 y 4))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 y 1/2)))
(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 0 (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (-.f64 1/2 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1/2 y)))) 1)
(/.f64 1 (-.f64 1/2 y))
(*.f64 (+.f64 1/2 y) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (+.f64 y 1/2) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)))
(/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y)))
(/.f64 (+.f64 y 1/2) (fma.f64 y (neg.f64 y) 1/4))
(*.f64 (/.f64 1 (-.f64 1/2 y)) 1)
(/.f64 1 (-.f64 1/2 y))
(*.f64 1 (/.f64 1 (-.f64 1/2 y)))
(/.f64 1 (-.f64 1/2 y))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (+.f64 1/2 y)) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (+.f64 y 1/2) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)))
(/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y)))
(/.f64 (+.f64 y 1/2) (fma.f64 y (neg.f64 y) 1/4))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (/.f64 1 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) -2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (+.f64 1/2 y)) (*.f64 (sqrt.f64 (+.f64 1/2 y)) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (+.f64 y 1/2) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)))
(/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y)))
(/.f64 (+.f64 y 1/2) (fma.f64 y (neg.f64 y) 1/4))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1/2 y))) (/.f64 1 (sqrt.f64 (-.f64 1/2 y))))
(/.f64 1 (-.f64 1/2 y))
(*.f64 (fma.f64 -1 y -1/2) (/.f64 1 (neg.f64 (fma.f64 y (neg.f64 y) 1/4))))
(/.f64 (fma.f64 -1 y -1/2) (neg.f64 (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 -1/2 y) (+.f64 (*.f64 y y) -1/4))
(*.f64 (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)) (+.f64 1/2 y))
(*.f64 (+.f64 y 1/2) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)))
(/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y)))
(/.f64 (+.f64 y 1/2) (fma.f64 y (neg.f64 y) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (/.f64 (+.f64 1/2 y) (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (/.f64 (+.f64 y 1/2) (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(/.f64 (/.f64 (+.f64 y 1/2) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2))
(/.f64 (/.f64 (+.f64 y 1/2) (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (/.f64 (+.f64 1/2 y) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (/.f64 (+.f64 y 1/2) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(/.f64 (/.f64 (+.f64 y 1/2) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 (+.f64 y 1/2) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (+.f64 y 1/2) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)))
(/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y)))
(/.f64 (+.f64 y 1/2) (fma.f64 y (neg.f64 y) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1/2 y))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1/2 y))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2)) (cbrt.f64 (-.f64 1/2 y)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 y)) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (/.f64 (+.f64 y 1/2) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
(/.f64 (/.f64 (+.f64 y 1/2) (sqrt.f64 (-.f64 1/4 (*.f64 y y)))) (sqrt.f64 (-.f64 1/4 (*.f64 y y))))
(/.f64 (/.f64 (+.f64 y 1/2) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4))) (sqrt.f64 (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) 1) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (fma.f64 y (neg.f64 y) 1/4)))
(*.f64 (+.f64 y 1/2) (/.f64 1 (fma.f64 y (neg.f64 y) 1/4)))
(/.f64 (+.f64 y 1/2) (-.f64 1/4 (*.f64 y y)))
(/.f64 (+.f64 y 1/2) (fma.f64 y (neg.f64 y) 1/4))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 y)) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4)) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 y)) (cbrt.f64 (fma.f64 y (neg.f64 y) 1/4))))
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(/.f64 (/.f64 (+.f64 y 1/2) (cbrt.f64 (-.f64 1/4 (*.f64 y y)))) (pow.f64 (cbrt.f64 (-.f64 1/4 (*.f64 y y))) 2))
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(/.f64 (fma.f64 y (neg.f64 y) 1/4) (/.f64 (+.f64 y 1/2) x))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (*.f64 (/.f64 x (+.f64 1/2 y)) (*.f64 y (neg.f64 y))))
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eval131.0ms (1.6%)

Compiler

Compiled 6422 to 4033 computations (37.2% saved)

prune85.0ms (1%)

Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New40615421
Fresh000
Picked011
Done2911
Total40825433
Accurracy
100.0%
Counts
433 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.0%
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))
26.2%
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
7.9%
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 y y))) (*.f64 x (+.f64 1/2 y)))
26.7%
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
51.7%
(/.f64 x (/.f64 -1 y))
2.6%
(/.f64 x (+.f64 2 (*.f64 4 y)))
87.6%
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
93.3%
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
99.2%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
94.1%
(-.f64 (log.f64 2) (*.f64 x y))
49.5%
(+.f64 (*.f64 1/2 x) (log.f64 2))
26.1%
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
40.9%
(*.f64 (-.f64 1/2 y) x)
25.6%
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (*.f64 y y)))
26.0%
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
2.2%
(*.f64 (+.f64 (*.f64 2 x) (*.f64 -4 (*.f64 y x))) (-.f64 1/4 (*.f64 y y)))
26.2%
(*.f64 (*.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
26.2%
(*.f64 (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
6.3%
(*.f64 (*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
2.2%
(*.f64 (*.f64 x (+.f64 2 (*.f64 y -4))) (-.f64 1/4 (*.f64 y y)))
6.5%
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
40.8%
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))))
51.9%
(*.f64 y (neg.f64 x))
3.6%
(*.f64 1/2 x)
49.1%
(log.f64 2)
Compiler

Compiled 319 to 223 computations (30.1% saved)

regimes55.0ms (0.7%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.f64 x (+.f64 2 (*.f64 4 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y -4))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (*.f64 2 x) (*.f64 -4 (*.f64 y x))) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 y y))) (*.f64 x (+.f64 1/2 y)))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

3 calls:

20.0ms
x
15.0ms
y
11.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 334 to 191 computations (42.8% saved)

regimes73.0ms (0.9%)

Counts
27 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.f64 x (+.f64 2 (*.f64 4 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y -4))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (*.f64 2 x) (*.f64 -4 (*.f64 y x))) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 y y))) (*.f64 x (+.f64 1/2 y)))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Calls

2 calls:

30.0ms
y
25.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
94.1%1y
Compiler

Compiled 296 to 171 computations (42.2% saved)

bsearch31.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
-472503454.77093565
-101804914.24807431
Results
19.0ms67×body256valid
6.0ms10×body1024valid
4.0ms14×body512valid
1.0msbody2048valid
1.0msbody256infinite
Compiler

Compiled 124 to 96 computations (22.6% saved)

regimes48.0ms (0.6%)

Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.f64 x (+.f64 2 (*.f64 4 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y -4))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (*.f64 2 x) (*.f64 -4 (*.f64 y x))) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 y y))) (*.f64 x (+.f64 1/2 y)))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))
Calls

2 calls:

21.0ms
x
13.0ms
y
Results
AccuracySegmentsBranch
99.4%2x
94.1%1y
Compiler

Compiled 264 to 148 computations (43.9% saved)

bsearch26.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
-472503454.77093565
-101804914.24807431
Results
10.0ms22×body1024valid
8.0ms55×body256valid
3.0ms13×body512valid
3.0msbody2048valid
0.0msbody256infinite
Compiler

Compiled 112 to 84 computations (25% saved)

regimes113.0ms (1.3%)

Counts
23 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.f64 x (+.f64 2 (*.f64 4 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y -4))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (*.f64 2 x) (*.f64 -4 (*.f64 y x))) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 y y))) (*.f64 x (+.f64 1/2 y)))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
Calls

2 calls:

75.0ms
y
31.0ms
x
Results
AccuracySegmentsBranch
86.2%3x
75.9%3y
Compiler

Compiled 258 to 145 computations (43.8% saved)

bsearch113.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
32.0ms
9.37103150615003e-29
2.136150529270052e-12
81.0ms
-1.1592741908868766e-6
-2.764060489868089e-15
Results
39.0ms304×body256valid
Compiler

Compiled 330 to 269 computations (18.5% saved)

regimes105.0ms (1.2%)

Counts
22 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.f64 x (+.f64 2 (*.f64 4 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y -4))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (*.f64 2 x) (*.f64 -4 (*.f64 y x))) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 y y))) (*.f64 x (+.f64 1/2 y)))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))
(log.f64 2)
Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
Calls

2 calls:

56.0ms
y
43.0ms
x
Results
AccuracySegmentsBranch
86.2%3x
75.8%3y
Compiler

Compiled 252 to 140 computations (44.4% saved)

bsearch47.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
9.37103150615003e-29
2.136150529270052e-12
26.0ms
-1.1592741908868766e-6
-2.764060489868089e-15
Results
43.0ms304×body256valid
Compiler

Compiled 254 to 212 computations (16.5% saved)

regimes38.0ms (0.5%)

Accuracy

Total -32.7b remaining (-106.2%)

Threshold costs -32.7b (-106.2%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(/.f64 x (/.f64 -1 y))
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.f64 x (+.f64 2 (*.f64 4 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 (-.f64 1/2 y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 x (/.f64 (+.f64 1/2 y) (-.f64 1/4 (*.f64 y y))))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y -4))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 1 (+.f64 1/2 y)) x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (*.f64 2 x) (*.f64 -4 (*.f64 y x))) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 y y))) (*.f64 x (+.f64 1/2 y)))
(*.f64 (*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (*.f64 1/2 x) (*.f64 x (neg.f64 y))))
Outputs
(*.f64 y (neg.f64 x))
Calls

2 calls:

16.0ms
y
16.0ms
x
Results
AccuracySegmentsBranch
51.9%1x
51.9%1y
Compiler

Compiled 250 to 138 computations (44.8% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×+-commutative
14×*-commutative
12×sub-neg
cancel-sign-sub-inv
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039225
159225
272225
377225
479225
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -102000000) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -102000000) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -237684487542793/79228162514264337593543950336) (*.f64 y (neg.f64 x)) (if (<=.f64 x 6913231011544493/11150372599265311570767859136324180752990208) (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -3961408125713217/9903520314283042199192993792) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7247742189522453/1393796574908163946345982392040522594123776) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -102000000) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -102000000) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -102000000) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -102000000) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -102000000) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -237684487542793/79228162514264337593543950336) (*.f64 y (neg.f64 x)) (if (<=.f64 x 6913231011544493/11150372599265311570767859136324180752990208) (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -237684487542793/79228162514264337593543950336) (*.f64 y (neg.f64 x)) (if (<=.f64 x 6913231011544493/11150372599265311570767859136324180752990208) (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -237684487542793/79228162514264337593543950336) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6913231011544493/11150372599265311570767859136324180752990208) (+.f64 (log.f64 2) (*.f64 x 1/2)) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3961408125713217/9903520314283042199192993792) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7247742189522453/1393796574908163946345982392040522594123776) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -3961408125713217/9903520314283042199192993792) (*.f64 y (neg.f64 x)) (if (<=.f64 x 7247742189522453/1393796574908163946345982392040522594123776) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3961408125713217/9903520314283042199192993792) (*.f64 x (neg.f64 y)) (if (<=.f64 x 7247742189522453/1393796574908163946345982392040522594123776) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 100 to 71 computations (29% saved)

soundness348.0ms (4.1%)

Rules
1340×fma-def
786×fabs-mul
740×associate-*l*
738×times-frac
708×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
12121
23221
35021
46921
510321
615721
720821
827621
935421
1041021
1143721
1251621
1374021
14165821
15479521
16577521
17726521
01552172
13922052
216222052
370572052
Stop Event
node limit
node limit
Compiler

Compiled 33 to 18 computations (45.5% saved)

end178.0ms (2.1%)

Compiler

Compiled 254 to 156 computations (38.6% saved)

Profiling

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