Logistic regression 2

Details

Time bar (total: 8.4s)

analyze1.0ms (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)

sample3.0s (35.6%)

Results
1.8s2063×body8192exit
913.0ms6898×body256valid
169.0ms955×body256infinite
74.0ms180×body1024valid
58.0ms223×body512valid
Bogosity

preprocess91.0ms (1.1%)

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)

simplify88.0ms (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)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New033
Fresh011
Picked000
Done000
Total044
Accurracy
99.6%
Counts
4 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
99.6%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
99.6%
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 29 to 20 computations (31% saved)

localize155.0ms (1.9%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 1 (exp.f64 x))
100.0%
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
99.6%
(log.f64 (+.f64 1 (exp.f64 x)))
Compiler

Compiled 29 to 15 computations (48.3% saved)

series51.0ms (0.6%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
26.0ms
x
@inf
(log.f64 (+.f64 1 (exp.f64 x)))
20.0ms
x
@-inf
(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms
y
@0
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0ms
x
@0
(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms
x
@-inf
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

rewrite92.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1404×prod-diff
1070×log-prod
738×fma-def
714×pow-prod-down
536×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
122641
2296841
Stop Event
node limit
Counts
3 → 225
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 1 (exp.f64 x))
Outputs
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x 2)))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (*.f64 x 2))))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (exp.f64 (*.f64 x 2)) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x 2)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x 2))))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.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))))
(*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(*.f64 2 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(*.f64 1/3 (*.f64 3 (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)) 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)
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (*.f64 x 2))))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(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))
(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 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 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))
(+.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 (*.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))) (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 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
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(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (*.f64 x 2)) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (-.f64 1 (exp.f64 (*.f64 x 2))) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (*.f64 x 2)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (*.f64 x 2)) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 x 2))) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x 2)))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (*.f64 x 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 (*.f64 x 2))) 1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 x 2))) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)

simplify115.0ms (1.4%)

Algorithm
egg-herbie
Rules
1424×fma-neg
924×times-frac
660×log-prod
584×fma-def
488×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05217103
112226881
243206847
Stop Event
node limit
Counts
257 → 277
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 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)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x 2)))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(+.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (*.f64 x 2))))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (exp.f64 (*.f64 x 2)) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x 2)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x 2))))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.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))))
(*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(*.f64 2 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(*.f64 1/3 (*.f64 3 (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)) 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)
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (*.f64 x 2))))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(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))
(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 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 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))
(+.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 (*.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))) (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 x) y (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(+.f64 (*.f64 y (neg.f64 x)) (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 1 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (log1p.f64 (exp.f64 x)) 1 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
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(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 (-.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)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (fma.f64 (*.f64 y (neg.f64 x)) 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 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.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 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (neg.f64 x))) (cbrt.f64 (*.f64 y (neg.f64 x)))) (cbrt.f64 (*.f64 y (neg.f64 x))) (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 y (neg.f64 x))) (sqrt.f64 (*.f64 y (neg.f64 x))) (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 -1 (*.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 y (neg.f64 x)) 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 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.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 (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) (pow.f64 (cbrt.f64 y) 2)) (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 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (*.f64 x 2)) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (-.f64 1 (exp.f64 (*.f64 x 2))) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (*.f64 x 2)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (*.f64 x 2)) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 x 2))) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x 2)))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (*.f64 x 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 (*.f64 x 2))) 1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 x 2))) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.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 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))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x 2)))) (log.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))) (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(+.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (*.f64 x 2))))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (exp.f64 (*.f64 x 2)) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (+.f64 (neg.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x 2)))) (log1p.f64 (neg.f64 (exp.f64 x))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 (exp.f64 x) 3))) (log.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x 2))))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (log.f64 (neg.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2))) (log.f64 (+.f64 -1 (exp.f64 x))))
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(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))
(*.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 2 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 1/3 (*.f64 3 (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)) 2) 1/2)
(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))
(neg.f64 (log.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))))
(+.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (neg.f64 (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (*.f64 x 2))))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (neg.f64 (log.f64 (-.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
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(-.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 (*.f64 y (neg.f64 x)) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (neg.f64 (cbrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (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 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.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))
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(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.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))
(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))
(fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (*.f64 y (neg.f64 x)) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.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 (*.f64 y (neg.f64 x)) 1 (*.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)) 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)))
(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)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (*.f64 x y)) (/.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))))
(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)))
(*.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)) 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)))
(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 y (neg.f64 x)) 1 (*.f64 x y)))
(*.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 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(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)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (*.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)))))
(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)))
(*.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 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 y (neg.f64 x))) (cbrt.f64 (*.f64 y (neg.f64 x)))) (cbrt.f64 (*.f64 y (neg.f64 x))) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 y (neg.f64 x))) (sqrt.f64 (*.f64 y (neg.f64 x))) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 -1 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.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 (*.f64 y (neg.f64 x)) 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))) (*.f64 0 (*.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))) 0)
(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 (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 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.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 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))) (*.f64 0 (*.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))) 0)
(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) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(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 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(+.f64 1 (exp.f64 x))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (*.f64 x 2)) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (-.f64 1 (exp.f64 (*.f64 x 2))) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(*.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (*.f64 x 2)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 (*.f64 x 2)) (-.f64 1 (exp.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (exp.f64 (*.f64 x 2))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (*.f64 x 2)))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(+.f64 1 (exp.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(+.f64 1 (exp.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(+.f64 1 (exp.f64 x))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(+.f64 1 (exp.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 1 (exp.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1))
(+.f64 1 (exp.f64 x))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(*.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 (*.f64 x 2)))) -1)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(+.f64 1 (exp.f64 x))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 1 (exp.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(+.f64 1 (exp.f64 x))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(+.f64 1 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(+.f64 1 (exp.f64 x))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(+.f64 1 (exp.f64 x))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (exp.f64 x) 1 1)
(+.f64 1 (exp.f64 x))
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 (*.f64 x 2))) 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) 1)
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 x 2))) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))

localize39.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
99.6%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite61.0ms (0.7%)

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)))

simplify82.0ms (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))

localize38.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.6%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 19 to 7 computations (63.2% saved)

eval83.0ms (1%)

Compiler

Compiled 6591 to 2329 computations (64.7% saved)

prune56.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3766382
Fresh000
Picked101
Done202
Total3796385
Accurracy
99.7%
Counts
385 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(fma.f64 x (neg.f64 y) (log.f64 2))
68.8%
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
92.6%
(-.f64 (log.f64 2) (*.f64 x y))
82.8%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
54.3%
(*.f64 y (neg.f64 x))
51.2%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 94 to 70 computations (25.5% saved)

localize33.0ms (0.4%)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize19.0ms (0.2%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize31.0ms (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)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))
2.0ms
y
@0
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
y
@-inf
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
y
@inf
(-.f64 (log.f64 2) (*.f64 x y))
0.0ms
x
@inf
(-.f64 (log.f64 2) (*.f64 x y))

rewrite58.0ms (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)))

simplify65.0ms (0.8%)

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))

localize40.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 25 to 18 computations (28% saved)

series3.0ms (0%)

Counts
2 → 27
Calls

12 calls:

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

rewrite78.0ms (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 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Outputs
(+.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)))
(-.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))

simplify85.0ms (1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02163335
14822739
214452681
361062681
Stop Event
node limit
Counts
115 → 114
Calls
Call 1
Inputs
(*.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) (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 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)))
(-.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))
Outputs
(*.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))
(*.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))
(*.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 (*.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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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 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 x (/.f64 (-.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 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 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.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 x (/.f64 (-.f64 1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 1/2 y) 1/4)))
(/.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 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.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))
(-.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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
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(*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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)))
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(/.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 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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)))
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(/.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)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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)))
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(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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))
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(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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

localize37.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 24 to 14 computations (41.7% saved)

series4.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

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

rewrite87.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1352×prod-diff
1044×log-prod
690×pow-prod-down
618×fma-def
500×pow-prod-up
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
121834
2295134
Stop Event
node limit
Counts
2 → 187
Calls
Call 1
Inputs
(log.f64 (+.f64 2 x))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
Outputs
(+.f64 (log.f64 (+.f64 2 x)) 0)
(+.f64 0 (log.f64 (+.f64 2 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))))
(+.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4))))
(+.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (/.f64 1 (-.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 2) 4) (+.f64 8 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (fma.f64 x (-.f64 x 2) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (fma.f64 x x (-.f64 4 (*.f64 2 x)))))
(-.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (-.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 x)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 8 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 2) 4))))
(-.f64 (log.f64 (neg.f64 (-.f64 4 (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 2 x))))
(-.f64 (log.f64 (fma.f64 x x -4)) (log.f64 (-.f64 x 2)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (log.f64 (+.f64 2 x)) 1)
(*.f64 1 (log.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 1/3 (*.f64 3 (log.f64 (+.f64 2 x))))
(pow.f64 (log.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 2) 4) (+.f64 8 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 2 x)))) 2))
(log1p.f64 (-.f64 (+.f64 2 x) 1))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 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 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 -1 (*.f64 x y) (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (*.f64 x y)))
(+.f64 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(+.f64 0 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(+.f64 (fma.f64 (log.f64 (+.f64 2 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (log.f64 (+.f64 2 x)) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (log.f64 (+.f64 2 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (log.f64 (+.f64 2 x)) 1 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (log.f64 (+.f64 2 x)) 1 (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (log.f64 (+.f64 2 x)) 1 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (log.f64 (+.f64 2 x)) 1 (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (log.f64 (+.f64 2 x)) 1 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 1 (log.f64 (+.f64 2 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 1 (log.f64 (+.f64 2 x)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 1 (log.f64 (+.f64 2 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 1 (log.f64 (+.f64 2 x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 1 (log.f64 (+.f64 2 x)) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 1 (log.f64 (+.f64 2 x)) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 1 (log.f64 (+.f64 2 x)) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 1 (log.f64 (+.f64 2 x)) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 y) x)) (pow.f64 (cbrt.f64 y) 2) (*.f64 (*.f64 (cbrt.f64 y) x) (pow.f64 (cbrt.f64 y) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 x) y)) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) (fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2))))) (fma.f64 (neg.f64 (cbrt.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 y) (*.f64 x (pow.f64 (cbrt.f64 y) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y))))) (fma.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 y (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x))) (cbrt.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x))))) (log.f64 (cbrt.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x)))))
(*.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1)
(*.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log.f64 (+.f64 2 x))) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 (+.f64 2 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (fma.f64 x y (log.f64 (+.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x (neg.f64 y)) 2)) (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x y (log.f64 (+.f64 2 x))) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2))
(log.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) (neg.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (exp.f64 (*.f64 x (neg.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (pow.f64 (exp.f64 y) (neg.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 2 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 1 (-.f64 (+.f64 2 x) 1))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (neg.f64 x)) (+.f64 2 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (neg.f64 x)) (+.f64 1 (-.f64 (+.f64 2 x) 1))))
(log.f64 (/.f64 (+.f64 2 x) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (pow.f64 (exp.f64 y) x)))
(log.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 (+.f64 2 x)))
(fma.f64 (log.f64 (+.f64 2 x)) 1 (*.f64 x (neg.f64 y)))
(fma.f64 (log.f64 (+.f64 2 x)) 1 (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 y (neg.f64 x) (log.f64 (+.f64 2 x)))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.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 1 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.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 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.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 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (log.f64 (+.f64 2 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))) (log.f64 (+.f64 2 x)))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log.f64 (+.f64 2 x)))
(fma.f64 (neg.f64 y) x (log.f64 (+.f64 2 x)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(fma.f64 -1 (*.f64 x y) (log.f64 (+.f64 2 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (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 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 (+.f64 2 x)))

simplify139.0ms (1.7%)

Algorithm
egg-herbie
Rules
946×fma-neg
934×distribute-lft-in
760×cancel-sign-sub-inv
744×unswap-sqr
582×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04926365
112056113
235126113
Stop Event
node limit
Counts
223 → 268
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 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(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 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 2 x)) 0)
(+.f64 0 (log.f64 (+.f64 2 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))))
(+.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4))))
(+.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (/.f64 1 (-.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 2) 4) (+.f64 8 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (fma.f64 x (-.f64 x 2) 4)))
(-.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (fma.f64 x x (-.f64 4 (*.f64 2 x)))))
(-.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (-.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 2 x)))) 1)
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(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 (+.f64 2 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (fma.f64 x y (log.f64 (+.f64 2 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x (neg.f64 y)) 2)) (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y))))
(pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x y (log.f64 (+.f64 2 x))) (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 2))
(log.f64 (/.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 2 x) (pow.f64 (exp.f64 y) (neg.f64 x))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (exp.f64 (*.f64 x (neg.f64 y)))))
(log.f64 (*.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (pow.f64 (exp.f64 y) (neg.f64 x))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 2 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 x (neg.f64 y))) (+.f64 1 (-.f64 (+.f64 2 x) 1))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (neg.f64 x)) (+.f64 2 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) (neg.f64 x)) (+.f64 1 (-.f64 (+.f64 2 x) 1))))
(log.f64 (/.f64 (+.f64 2 x) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (pow.f64 (exp.f64 y) x)))
(log.f64 (/.f64 (+.f64 1 (-.f64 (+.f64 2 x) 1)) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(fma.f64 x (neg.f64 y) (log.f64 (+.f64 2 x)))
(fma.f64 (log.f64 (+.f64 2 x)) 1 (*.f64 x (neg.f64 y)))
(fma.f64 (log.f64 (+.f64 2 x)) 1 (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 y (neg.f64 x) (log.f64 (+.f64 2 x)))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.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 1 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.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 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.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 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (neg.f64 x) y (log.f64 (+.f64 2 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))) (log.f64 (+.f64 2 x)))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log.f64 (+.f64 2 x)))
(fma.f64 (neg.f64 y) x (log.f64 (+.f64 2 x)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(fma.f64 -1 (*.f64 x y) (log.f64 (+.f64 2 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (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 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 (+.f64 2 x)))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 (+.f64 2 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 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (log.f64 x) (/.f64 2 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (-.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (log.f64 -1)))
(-.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 2 x) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (log.f64 -1))) (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -2 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 -1) (-.f64 (/.f64 2 x) (log.f64 (/.f64 -1 x)))) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 x) (log.f64 -1))) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (-.f64 (+.f64 (/.f64 2 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (+.f64 (log.f64 -1) (-.f64 (/.f64 2 x) (log.f64 (/.f64 -1 x)))) (/.f64 -2 (*.f64 x 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 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 (-.f64 1/2 y) x (+.f64 (fma.f64 -1/8 (*.f64 x x) (log.f64 2)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 -1/8 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (*.f64 x y)))
(-.f64 (log.f64 x) (*.f64 x y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log.f64 x) (fma.f64 x (neg.f64 y) (/.f64 2 x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (*.f64 x y)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 y x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (*.f64 x (neg.f64 y))) (/.f64 2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (fma.f64 x (neg.f64 y) (/.f64 2 x)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (fma.f64 x (neg.f64 y) (/.f64 -2 (*.f64 x x))))
(*.f64 -1 (*.f64 y x))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 -1 (*.f64 y x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 x (neg.f64 y))))
(-.f64 (-.f64 (log.f64 -1) (*.f64 x y)) (log.f64 (/.f64 -1 x)))
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(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 1) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) 3))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) 1/3))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)))) 2))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (log.f64 (+.f64 2 x)) 1 (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (log.f64 (+.f64 2 x)) 1 (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 y (neg.f64 x) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (log.f64 (+.f64 2 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (-.f64 (log.f64 (+.f64 2 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 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 1 (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (cbrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 (+.f64 2 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 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 (+.f64 2 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 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))) (*.f64 (*.f64 x (neg.f64 y)) 1))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 (+.f64 2 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 (+.f64 2 x))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 (+.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 (+.f64 2 x))))
(fma.f64 (neg.f64 x) y (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) (cbrt.f64 (*.f64 x (neg.f64 y)))) (cbrt.f64 (*.f64 x (neg.f64 y))) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (neg.f64 y) x (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 -1 (*.f64 x y) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (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 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 (+.f64 2 x)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))

eval169.0ms (2%)

Compiler

Compiled 7717 to 4600 computations (40.4% saved)

prune95.0ms (1.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New4258433
Fresh011
Picked101
Done134
Total42712439
Accurracy
99.7%
Counts
439 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(-.f64 (log.f64 2) (*.f64 x y))
60.7%
(+.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
82.8%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
47.5%
(+.f64 (*.f64 1/2 x) (log.f64 2))
67.6%
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
39.9%
(+.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3)) (log.f64 2))
38.0%
(*.f64 (-.f64 1/2 y) x)
54.3%
(*.f64 y (neg.f64 x))
51.2%
(log1p.f64 (exp.f64 x))
46.3%
(log.f64 (+.f64 2 x))
47.0%
(log.f64 2)
65.9%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
Compiler

Compiled 198 to 162 computations (18.2% saved)

localize94.0ms (1.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
100.0%
(*.f64 (-.f64 1/2 y) x)
98.7%
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
92.8%
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
Compiler

Compiled 40 to 29 computations (27.5% saved)

series4.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
1.0ms
y
@0
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
1.0ms
x
@0
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
1.0ms
x
@-inf
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
0.0ms
y
@-inf
(log1p.f64 (*.f64 (-.f64 1/2 y) x))

rewrite83.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1122×log-prod
736×pow-prod-down
684×fma-def
552×pow-exp
548×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01353
125849
2328449
Stop Event
node limit
Counts
3 → 139
Calls
Call 1
Inputs
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
Outputs
(+.f64 0 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1))) (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) (log.f64 (-.f64 1 (*.f64 (-.f64 1/2 y) x))))
(*.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 1)
(*.f64 1 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2) (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(log.f64 (fma.f64 (-.f64 1/2 y) x 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 2))
(+.f64 (fma.f64 (-.f64 1/2 y) x 1) -1)
(+.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)) 2)) (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 (fma.f64 (-.f64 1/2 y) x 1) 1)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 1 (*.f64 (-.f64 1/2 y) x))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(*.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) 1) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x 1) 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) 1) (+.f64 (fma.f64 (-.f64 1/2 y) x 1) 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))
(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)))
(fma.f64 1 (fma.f64 (-.f64 1/2 y) x 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)
(-.f64 (fma.f64 (-.f64 1/2 y) x 1) (-.f64 1 (log.f64 2)))
(-.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 (+.f64 (log.f64 2) (fma.f64 (-.f64 1/2 y) x 1)) 1)
(*.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 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 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 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 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 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 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 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 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 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 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 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 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 1 (fma.f64 (-.f64 1/2 y) x 1) (neg.f64 (-.f64 1 (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))
(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 (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 (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 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (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 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 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (neg.f64 (-.f64 1 (log.f64 2))))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (neg.f64 (-.f64 1 (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))

simplify100.0ms (1.2%)

Algorithm
egg-herbie
Rules
1716×times-frac
1110×fma-neg
894×cancel-sign-sub-inv
508×fma-def
508×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04106523
110145607
233915559
Stop Event
node limit
Counts
211 → 258
Calls
Call 1
Inputs
(log.f64 (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (log.f64 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (+.f64 (log.f64 (+.f64 (*.f64 1/2 x) 1)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (+.f64 (log.f64 (+.f64 (*.f64 1/2 x) 1)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2))))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 y x))) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 y x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 y x))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x)))))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))) (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 1/2 y) 4) (pow.f64 x 4))))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (-.f64 1/2 y) x))))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (-.f64 1/2 y) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))) (/.f64 1 (*.f64 (-.f64 1/2 y) x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(*.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 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 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 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))))
(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 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 0 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1))) (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) (log.f64 (-.f64 1 (*.f64 (-.f64 1/2 y) x))))
(*.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 1)
(*.f64 1 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2) (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(log.f64 (fma.f64 (-.f64 1/2 y) x 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 2))
(+.f64 (fma.f64 (-.f64 1/2 y) x 1) -1)
(+.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 y)) x)) 2)) (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 (fma.f64 (-.f64 1/2 y) x 1) 1)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 1 (*.f64 (-.f64 1/2 y) x))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(*.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) 1) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x 1) 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) 1) (+.f64 (fma.f64 (-.f64 1/2 y) x 1) 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))
(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)))
(fma.f64 1 (fma.f64 (-.f64 1/2 y) x 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)
(-.f64 (fma.f64 (-.f64 1/2 y) x 1) (-.f64 1 (log.f64 2)))
(-.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 (+.f64 (log.f64 2) (fma.f64 (-.f64 1/2 y) x 1)) 1)
(*.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 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 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 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 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 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 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 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 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 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 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 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 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 1 (fma.f64 (-.f64 1/2 y) x 1) (neg.f64 (-.f64 1 (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))
(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 (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 (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 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (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 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 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (neg.f64 (-.f64 1 (log.f64 2))))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (neg.f64 (-.f64 1 (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))
Outputs
(log.f64 (+.f64 (*.f64 1/2 x) 1))
(log.f64 (fma.f64 1/2 x 1))
(log1p.f64 (*.f64 1/2 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (log.f64 (+.f64 (*.f64 1/2 x) 1)))
(fma.f64 -1 (/.f64 (*.f64 x y) (fma.f64 1/2 x 1)) (log.f64 (fma.f64 1/2 x 1)))
(-.f64 (log1p.f64 (*.f64 1/2 x)) (*.f64 (/.f64 y (fma.f64 1/2 x 1)) x))
(-.f64 (log1p.f64 (*.f64 1/2 x)) (/.f64 (*.f64 x y) (fma.f64 1/2 x 1)))
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(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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 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)) (*.f64 x (neg.f64 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

localize29.0ms (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)

localize23.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 12 to 9 computations (25% saved)

localize59.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
90.1%
(*.f64 (-.f64 1/4 (*.f64 y y)) x)
88.1%
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
Compiler

Compiled 53 to 31 computations (41.5% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite97.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1554×log-prod
940×fma-def
590×expm1-udef
586×log1p-udef
382×log-div
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01591
133455
2461251
Stop Event
node limit
Counts
3 → 139
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) x)
(+.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
Outputs
(+.f64 0 (*.f64 (-.f64 1/2 y) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(-.f64 (/.f64 1/4 (/.f64 (+.f64 y 1/2) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 y 1/2) x)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (/.f64 1 (+.f64 y 1/2)))
(*.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 1 (*.f64 (-.f64 1/2 y) x))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 x)) (/.f64 1 (fma.f64 -1 y -1/2)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 x 1) (-.f64 1/2 y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(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) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(pow.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) -1)
(neg.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (fma.f64 -1 y -1/2)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (exp.f64 (*.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))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(+.f64 0 (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(+.f64 (*.f64 x 1/4) (*.f64 x (*.f64 y (neg.f64 y))))
(+.f64 (*.f64 1/4 x) (*.f64 (*.f64 y (neg.f64 y)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 1)
(/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (fma.f64 y y 1/4))
(pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/4 (*.f64 y y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))
(fma.f64 1/4 x (*.f64 (*.f64 y (neg.f64 y)) x))
(fma.f64 x 1/4 (*.f64 x (*.f64 y (neg.f64 y))))
(-.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 (log1p.f64 -1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log1p.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 (log1p.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 (log1p.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 (-.f64 1/2 y) 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 (log1p.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 (log1p.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)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (exp.f64 (*.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))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)) (log.f64 2))
(fma.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (/.f64 1 (+.f64 y 1/2)) (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 (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 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))) (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 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 x)) (/.f64 1 (fma.f64 -1 y -1/2)) (log.f64 2))
(fma.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 x 1) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4) (log.f64 2))

simplify95.0ms (1.1%)

Algorithm
egg-herbie
Rules
1054×unswap-sqr
876×associate-*r/
722×times-frac
468×cancel-sign-sub-inv
420×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03327235
17906053
227195977
Stop Event
node limit
Counts
211 → 210
Calls
Call 1
Inputs
(*.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 (-.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 1/4 x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) 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 (log.f64 2) (*.f64 -1 (*.f64 y x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) (*.f64 -1/2 x))
(*.f64 -1 (*.f64 y x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) (*.f64 -1/2 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) (*.f64 -1/2 x))
(log.f64 2)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(+.f64 (log.f64 2) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(+.f64 (log.f64 2) (/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y)))
(+.f64 0 (*.f64 (-.f64 1/2 y) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x))) (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)
(-.f64 (/.f64 1/4 (/.f64 (+.f64 y 1/2) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 y 1/2) x)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (/.f64 1 (+.f64 y 1/2)))
(*.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 1 (*.f64 (-.f64 1/2 y) x))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 x)) (/.f64 1 (fma.f64 -1 y -1/2)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 x 1) (-.f64 1/2 y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (sqrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(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) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)
(pow.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) -1)
(neg.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (fma.f64 -1 y -1/2)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (exp.f64 (*.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))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))
(+.f64 0 (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(+.f64 (*.f64 x 1/4) (*.f64 x (*.f64 y (neg.f64 y))))
(+.f64 (*.f64 1/4 x) (*.f64 (*.f64 y (neg.f64 y)) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 1)
(/.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))
(/.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))
(/.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (fma.f64 y y 1/4))
(pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/4 (*.f64 y y))) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/4 (*.f64 y y)) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/4 (*.f64 y y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))
(exp.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))
(fma.f64 1/4 x (*.f64 (*.f64 y (neg.f64 y)) x))
(fma.f64 x 1/4 (*.f64 x (*.f64 y (neg.f64 y))))
(-.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 (log1p.f64 -1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log1p.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 (log1p.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 (log1p.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 (-.f64 1/2 y) 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 (log1p.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 (log1p.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)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2))
(log.f64 (*.f64 2 (exp.f64 (*.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))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))
(fma.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)) (log.f64 2))
(fma.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (/.f64 1 (+.f64 y 1/2)) (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 (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 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))) (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 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 x)) (/.f64 1 (fma.f64 -1 y -1/2)) (log.f64 2))
(fma.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 x 1) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4) (log.f64 2))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 x (*.f64 y y)))
(*.f64 x (*.f64 y (neg.f64 y)))
(*.f64 y (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 x (*.f64 y y)))
(*.f64 x (*.f64 y (neg.f64 y)))
(*.f64 y (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(+.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)) (*.f64 (neg.f64 y) x))
(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)) (*.f64 (neg.f64 y) x))
(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)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))) (*.f64 -1/2 x))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) (log.f64 2))
(*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x)
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (/.f64 (pow.f64 y 2) (+.f64 1/2 y))) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) (log.f64 2))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.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)) (*.f64 (neg.f64 y) x))
(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)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 x)) (/.f64 1 (fma.f64 -1 y -1/2)) (log.f64 2))
(+.f64 (log.f64 2) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (fma.f64 -1 y -1/2) (neg.f64 x))))
(-.f64 (log.f64 2) (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (-.f64 -1/2 y) x)))
(fma.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.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)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x 1) (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1/2))) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (sqrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)) (log.f64 2))
(fma.f64 (-.f64 (/.f64 1/4 (+.f64 1/2 y)) (/.f64 (*.f64 y y) (+.f64 1/2 y))) x (log.f64 2))
(fma.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (cbrt.f64 (+.f64 y 1/2))) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 (neg.f64 y) x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4) (log.f64 2))
(fma.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/8 (pow.f64 y 3)) x)) (fma.f64 y (+.f64 y -1/2) 1/4) (log.f64 2))
(fma.f64 (*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/8 (pow.f64 y 3))) x) (fma.f64 y (+.f64 y -1/2) 1/4) (log.f64 2))

localize94.0ms (1.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 (-.f64 1/2 y) x)
99.8%
(*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3)
97.1%
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))
92.6%
(cbrt.f64 (*.f64 (-.f64 1/2 y) x))
Compiler

Compiled 63 to 48 computations (23.8% saved)

series33.0ms (0.4%)

Counts
3 → 12
Calls

18 calls:

TimeVariablePointExpression
21.0ms
y
@inf
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))
3.0ms
y
@0
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))
2.0ms
y
@0
(*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3)
1.0ms
y
@0
(cbrt.f64 (*.f64 (-.f64 1/2 y) x))
1.0ms
x
@-inf
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))

rewrite87.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1084×log-prod
654×pow-prod-down
646×prod-exp
564×pow-prod-up
504×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01367
126147
2310147
Stop Event
node limit
Counts
3 → 195
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (-.f64 1/2 y) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))
(*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3)
Outputs
(+.f64 0 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1)
(*.f64 1 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(*.f64 (cbrt.f64 (-.f64 1/2 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 1/6 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (pow.f64 (exp.f64 1) (*.f64 1/6 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(*.f64 (pow.f64 (exp.f64 1) (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (-.f64 1/2 y)))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 x))))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (exp.f64 1))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1)
(pow.f64 (exp.f64 3) (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 1/3))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/6)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/9)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2/3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (*.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (exp.f64 1) (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1/3))
(pow.f64 (+.f64 1 (fma.f64 (-.f64 1/2 y) x -1)) 1/3)
(pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1)) 1)
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) 1) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) 1) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2))
(pow.f64 (pow.f64 (exp.f64 1) 1/3) (log.f64 (*.f64 (-.f64 1/2 y) x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1/3))
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(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))
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(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) 1) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (cbrt.f64 3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 1) 3) (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
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(pow.f64 (pow.f64 (exp.f64 1) (*.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
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(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
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(+.f64 (*.f64 2/3 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
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(log.f64 (*.f64 (-.f64 1/2 y) x))
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(exp.f64 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
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(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 2))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x -1))
(fma.f64 1 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 1/2 y))) (sqrt.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))

simplify120.0ms (1.4%)

Algorithm
egg-herbie
Rules
1278×sqr-pow
722×associate-*r*
644×associate-*l*
574×log-prod
448×pow-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05994294976773
115849213
249578027
Stop Event
node limit
Counts
207 → 301
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))
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(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(*.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2))) (cbrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) 1) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (-.f64 1/2 y))) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6) (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6))
(*.f64 (pow.f64 (exp.f64 3) (*.f64 1/6 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (pow.f64 (exp.f64 3) (*.f64 1/6 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(*.f64 (pow.f64 (exp.f64 3) (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))
(*.f64 (pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (-.f64 1/2 y)))) (pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 x))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 1/2 y))) (pow.f64 (exp.f64 1) (log.f64 x)))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 x)) (pow.f64 (exp.f64 1) (log.f64 (-.f64 1/2 y))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(/.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))
(/.f64 (pow.f64 (exp.f64 3) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (exp.f64 3))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (exp.f64 1))
(pow.f64 (*.f64 (-.f64 1/2 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)
(pow.f64 (exp.f64 3) (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 9)
(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)
(pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 1/6) 6)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (*.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (-.f64 1/2 y) x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (*.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1))
(pow.f64 (cbrt.f64 (exp.f64 3)) (log.f64 (*.f64 (-.f64 1/2 y) x)))
(pow.f64 (+.f64 1 (fma.f64 (-.f64 1/2 y) x -1)) 1)
(pow.f64 (+.f64 1 (-.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1)) 3)
(pow.f64 (pow.f64 (exp.f64 3) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2))
(pow.f64 (pow.f64 (exp.f64 3) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 3) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) 1) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 3)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (cbrt.f64 3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 1) 3) (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
(pow.f64 (pow.f64 (exp.f64 1) (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 1) (*.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 1) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 3)) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(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)))
(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)))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) (*.f64 2/3 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(+.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 0)
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2))) (log.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) x)))
(+.f64 (log.f64 (sqrt.f64 (-.f64 1/2 y))) (log.f64 (*.f64 (sqrt.f64 (-.f64 1/2 y)) x)))
(+.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))))
(+.f64 (*.f64 2/3 (log.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(+.f64 0 (log.f64 (*.f64 (-.f64 1/2 y) x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (*.f64 (sqrt.f64 x) (-.f64 1/2 y))))
(+.f64 (log.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 x (cbrt.f64 (pow.f64 (-.f64 1/2 y) 2)))) (log.f64 (cbrt.f64 (-.f64 1/2 y))))
(+.f64 (log.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (-.f64 1/2 y))))
(+.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) 1)) (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))
(+.f64 (log.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))
(+.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (-.f64 1/2 y)))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 5/6)) (*.f64 1/6 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 1)
(-.f64 (log.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3)))) (log.f64 (fma.f64 y (+.f64 1/2 y) 1/4)))
(-.f64 (log.f64 (*.f64 x (-.f64 1/4 (*.f64 y y)))) (log.f64 (+.f64 1/2 y)))
(-.f64 (log.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x)) (log.f64 (fma.f64 y (+.f64 1/2 y) 1/4)))
(-.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (log.f64 (+.f64 1/2 y)))
(pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(log.f64 (*.f64 (-.f64 1/2 y) x))
(log.f64 (+.f64 1 (fma.f64 (-.f64 1/2 y) x -1)))
(log.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (+.f64 1 (-.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(exp.f64 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 2))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x -1))
(fma.f64 1 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 1/2 y))) (sqrt.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))
Outputs
(*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 x))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y)) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 7)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 11)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (*.f64 (*.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (*.f64 (pow.f64 (pow.f64 x 7) 1/18) (pow.f64 (pow.f64 x 7) 1/18)) y)) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 (*.f64 (pow.f64 (pow.f64 x 11) 1/18) (pow.f64 (pow.f64 x 11) 1/18)) (*.f64 y y))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 x))))
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(*.f64 1/2 (*.f64 (pow.f64 1 1/3) x))
(*.f64 x 1/2)
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(*.f64 3 (log.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2))))
(*.f64 3 (log.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 x))))
(+.f64 (log.f64 x) (*.f64 3 (log.f64 (cbrt.f64 1/2))))
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(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 2))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(log.f64 (*.f64 (-.f64 1/2 y) x))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(log.f64 (+.f64 1 (fma.f64 (-.f64 1/2 y) x -1)))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(log.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (+.f64 1 (-.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 1))))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1) 1))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 3))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 1/3))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) 2))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(log1p.f64 (fma.f64 (-.f64 1/2 y) x -1))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1/2 y))) 2) (cbrt.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 1/2 y))) (sqrt.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))
(fma.f64 2/3 (log.f64 (*.f64 x (-.f64 1/2 y))) (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(fma.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2/3 (log.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))

eval485.0ms (5.8%)

Compiler

Compiled 20023 to 15830 computations (20.9% saved)

prune216.0ms (2.6%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New9748982
Fresh224
Picked101
Done257
Total97915994
Accurracy
99.7%
Counts
994 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.7%
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
92.6%
(-.f64 (log.f64 2) (*.f64 x y))
49.7%
(+.f64 (fma.f64 x 1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2)))) (neg.f64 y))) (log.f64 2))
47.0%
(+.f64 (/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) (log.f64 2))
82.8%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
38.0%
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
47.5%
(+.f64 (*.f64 x 1/2) (log.f64 2))
24.7%
(+.f64 (exp.f64 (+.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))) (*.f64 -1 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3)))))) (log.f64 2))
22.3%
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
38.0%
(*.f64 (-.f64 1/2 y) x)
54.3%
(*.f64 y (neg.f64 x))
3.5%
(*.f64 1/2 x)
51.2%
(log1p.f64 (exp.f64 x))
46.3%
(log.f64 (+.f64 2 x))
47.0%
(log.f64 2)
Compiler

Compiled 313 to 258 computations (17.6% saved)

localize28.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.6%
(log1p.f64 (exp.f64 x))
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize19.0ms (0.2%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize39.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 x (+.f64 1/2 y))
77.2%
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
Compiler

Compiled 34 to 19 computations (44.1% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite78.0ms (0.9%)

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))))

simplify72.0ms (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))
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(*.f64 x (/.f64 (-.f64 1/64 (pow.f64 y 6)) (*.f64 (+.f64 y 1/2) (fma.f64 y (*.f64 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 x (+.f64 y 1/2)) (/.f64 (-.f64 1/16 (pow.f64 y 4)) (fma.f64 y y 1/4)))
(/.f64 (/.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) 1) (+.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 x (-.f64 1/4 (*.f64 y y))) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (+.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 x (-.f64 1/4 (*.f64 y y))) (sqrt.f64 (+.f64 1/2 y))) (sqrt.f64 (+.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)))
(pow.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))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 3)
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 2) 1/2)
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 3) 1/3)
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 2)
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (/.f64 (+.f64 1/2 y) (*.f64 x (-.f64 1/4 (*.f64 y y)))) -1)
(/.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)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 2))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(log.f64 (exp.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)) 3))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))) 1) 1))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 3))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 1/3))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y)))) 2))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x 1) (-.f64 1/2 y))))
(fma.f64 1/2 x (neg.f64 (*.f64 y x)))
(*.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))))
(/.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)))
(fma.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 0 (/.f64 x (+.f64 1/2 y)))
(/.f64 x (+.f64 y 1/2))
(+.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 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y 1/2)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y 1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y 1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 y 1/2))))))
(+.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 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 y 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1/2 y)))) 1)
(/.f64 x (+.f64 y 1/2))
(*.f64 x (/.f64 1 (+.f64 1/2 y)))
(/.f64 x (+.f64 y 1/2))
(*.f64 (/.f64 x (+.f64 1/2 y)) 1)
(/.f64 x (+.f64 y 1/2))
(*.f64 1 (/.f64 x (+.f64 1/2 y)))
(/.f64 x (+.f64 y 1/2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1/2 y))))
(/.f64 x (+.f64 y 1/2))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1/2 y))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y 1/2))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 y 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1/2 y)) 2)) (cbrt.f64 (/.f64 x (+.f64 1/2 y))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 y 1/2))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 y 1/2)) 2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1/2 y))))
(/.f64 x (+.f64 y 1/2))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1/2 y))) (sqrt.f64 (/.f64 x (+.f64 1/2 y))))
(/.f64 x (+.f64 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))
(*.f64 (/.f64 1 (+.f64 1/2 y)) x)
(/.f64 x (+.f64 y 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) -2) (/.f64 x (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) -2) (/.f64 x (cbrt.f64 (+.f64 y 1/2))))
(*.f64 (pow.f64 (+.f64 1/2 y) -1/2) (/.f64 x (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (pow.f64 (+.f64 y 1/2) -1/2) (/.f64 x (sqrt.f64 (+.f64 y 1/2))))
(/.f64 (*.f64 x (pow.f64 (+.f64 y 1/2) -1/2)) (sqrt.f64 (+.f64 y 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1/2 y)))
(/.f64 x (+.f64 y 1/2))
(*.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 (cbrt.f64 (/.f64 x (+.f64 y 1/2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (+.f64 y 1/2)))) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2))
(*.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 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 y 1/2))))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1/2 y)))
(/.f64 x (+.f64 y 1/2))
(*.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 (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))

localize22.0ms (0.3%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize50.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 33 to 25 computations (24.2% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite80.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1780×prod-diff
1288×log-prod
786×fma-def
502×expm1-udef
498×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01348
128248
2376944
Stop Event
node limit
Counts
2 → 112
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) (log.f64 2))
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2) (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 1/2))))
(*.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) (sqrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3))))
(/.f64 1 (/.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2) (*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2)) (-.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(pow.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))) 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(fma.f64 x (/.f64 1 (*.f64 (+.f64 1/2 y) 4)) (log.f64 2))
(fma.f64 x (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 1/4 (*.f64 x (/.f64 1 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (*.f64 x 1/4) (/.f64 1 (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 1 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/4)) (/.f64 1 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 (*.f64 1/2 (sqrt.f64 x)) (/.f64 1 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (log.f64 2))
(fma.f64 (*.f64 x -1/4) (/.f64 1 (neg.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1 (+.f64 1/2 y)) (*.f64 x 1/4) (log.f64 2))
(fma.f64 (/.f64 x 1) (/.f64 1/4 (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 1/4 (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (log.f64 2))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (*.f64 x 1/4) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 y))) (/.f64 (*.f64 x 1/4) (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/4)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 (*.f64 x 1/4)) (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) 1) (/.f64 (*.f64 1/2 (sqrt.f64 x)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (*.f64 1/2 (sqrt.f64 x)) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (*.f64 x 1/4) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4) (log.f64 2))
(fma.f64 (/.f64 (*.f64 x 1/4) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y) (log.f64 2))
(+.f64 0 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))) (cbrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))) 1)
(*.f64 x (/.f64 1 (*.f64 (+.f64 1/2 y) 4)))
(*.f64 x (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (*.f64 x (/.f64 1 (+.f64 1/2 y))))
(*.f64 (*.f64 x 1/4) (/.f64 1 (+.f64 1/2 y)))
(*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 1)
(*.f64 1 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/4)) (/.f64 1 (+.f64 1/2 y))))
(*.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 (*.f64 1/2 (sqrt.f64 x)) (/.f64 1 (+.f64 1/2 y))))
(*.f64 (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 (*.f64 x -1/4) (/.f64 1 (neg.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1 (+.f64 1/2 y)) (*.f64 x 1/4))
(*.f64 (/.f64 x 1) (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 1/4 (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) 1/4)
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (*.f64 x 1/4) (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 y))) (/.f64 (*.f64 x 1/4) (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/4)) (+.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 (*.f64 x 1/4)) (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) 1) (/.f64 (*.f64 1/2 (sqrt.f64 x)) (+.f64 1/2 y)))
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (*.f64 1/2 (sqrt.f64 x)) (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (*.f64 x 1/4) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(*.f64 (/.f64 (*.f64 x 1/4) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2)
(pow.f64 (*.f64 4 (/.f64 (+.f64 1/2 y) x)) -1)
(neg.f64 (/.f64 (*.f64 x 1/4) (neg.f64 (+.f64 1/2 y))))
(sqrt.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2))
(log.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(exp.f64 (log.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))

simplify155.0ms (1.8%)

Algorithm
egg-herbie
Rules
750×unswap-sqr
742×distribute-lft-in
712×distribute-rgt-in
698×times-frac
650×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02865292
17085176
224815048
Stop Event
node limit
Counts
160 → 188
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(+.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 (*.f64 2 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -4 (*.f64 (pow.f64 y 3) x)) (*.f64 -1 (*.f64 y x))))))
(log.f64 2)
(+.f64 (*.f64 1/4 (/.f64 x y)) (log.f64 2))
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (log.f64 2) (*.f64 -1/8 (/.f64 x (pow.f64 y 2)))))
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (*.f64 1/16 (/.f64 x (pow.f64 y 3))) (+.f64 (log.f64 2) (*.f64 -1/8 (/.f64 x (pow.f64 y 2))))))
(log.f64 2)
(+.f64 (*.f64 1/4 (/.f64 x y)) (log.f64 2))
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (log.f64 2) (*.f64 -1/8 (/.f64 x (pow.f64 y 2)))))
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (*.f64 1/16 (/.f64 x (pow.f64 y 3))) (+.f64 (log.f64 2) (*.f64 -1/8 (/.f64 x (pow.f64 y 2))))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 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 (*.f64 2 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -4 (*.f64 (pow.f64 y 3) x)) (*.f64 -1 (*.f64 y x)))))
(*.f64 1/4 (/.f64 x y))
(+.f64 (*.f64 1/4 (/.f64 x y)) (*.f64 -1/8 (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (*.f64 1/16 (/.f64 x (pow.f64 y 3))) (*.f64 -1/8 (/.f64 x (pow.f64 y 2)))))
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (*.f64 1/16 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1/8 (/.f64 x (pow.f64 y 2))) (*.f64 -1/32 (/.f64 x (pow.f64 y 4))))))
(*.f64 1/4 (/.f64 x y))
(+.f64 (*.f64 1/4 (/.f64 x y)) (*.f64 -1/8 (/.f64 x (pow.f64 y 2))))
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (*.f64 1/16 (/.f64 x (pow.f64 y 3))) (*.f64 -1/8 (/.f64 x (pow.f64 y 2)))))
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (*.f64 1/16 (/.f64 x (pow.f64 y 3))) (+.f64 (*.f64 -1/8 (/.f64 x (pow.f64 y 2))) (*.f64 -1/32 (/.f64 x (pow.f64 y 4))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2) (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 1/2))))
(*.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) (sqrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 1/2))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3))))
(/.f64 1 (/.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2) (pow.f64 (log.f64 2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2) (*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2)) (-.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(pow.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)) 2))
(log.f64 (exp.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))) 2))
(log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(fma.f64 x (/.f64 1 (*.f64 (+.f64 1/2 y) 4)) (log.f64 2))
(fma.f64 x (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 1/4 (*.f64 x (/.f64 1 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (*.f64 x 1/4) (/.f64 1 (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 1 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/4)) (/.f64 1 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 (*.f64 1/2 (sqrt.f64 x)) (/.f64 1 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (log.f64 2))
(fma.f64 (*.f64 x -1/4) (/.f64 1 (neg.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1 (+.f64 1/2 y)) (*.f64 x 1/4) (log.f64 2))
(fma.f64 (/.f64 x 1) (/.f64 1/4 (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 1/4 (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (log.f64 2))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (*.f64 x 1/4) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 y))) (/.f64 (*.f64 x 1/4) (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/4)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 (*.f64 x 1/4)) (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) 1) (/.f64 (*.f64 1/2 (sqrt.f64 x)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (*.f64 1/2 (sqrt.f64 x)) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (*.f64 x 1/4) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4) (log.f64 2))
(fma.f64 (/.f64 (*.f64 x 1/4) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y) (log.f64 2))
(+.f64 0 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))) (cbrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))) 1)
(*.f64 x (/.f64 1 (*.f64 (+.f64 1/2 y) 4)))
(*.f64 x (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 1/4 (*.f64 x (/.f64 1 (+.f64 1/2 y))))
(*.f64 (*.f64 x 1/4) (/.f64 1 (+.f64 1/2 y)))
(*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 1)
(*.f64 1 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/4)) (/.f64 1 (+.f64 1/2 y))))
(*.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 (*.f64 1/2 (sqrt.f64 x)) (/.f64 1 (+.f64 1/2 y))))
(*.f64 (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 (*.f64 x -1/4) (/.f64 1 (neg.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1 (+.f64 1/2 y)) (*.f64 x 1/4))
(*.f64 (/.f64 x 1) (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 1/4 (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) 1/4)
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (*.f64 x 1/4) (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 y))) (/.f64 (*.f64 x 1/4) (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/4)) (+.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 (*.f64 x 1/4)) (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) 1) (/.f64 (*.f64 1/2 (sqrt.f64 x)) (+.f64 1/2 y)))
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (*.f64 1/2 (sqrt.f64 x)) (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (*.f64 x 1/4) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(*.f64 (/.f64 (*.f64 x 1/4) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2)
(pow.f64 (*.f64 4 (/.f64 (+.f64 1/2 y) x)) -1)
(neg.f64 (/.f64 (*.f64 x 1/4) (neg.f64 (+.f64 1/2 y))))
(sqrt.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2))
(log.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))))
(cbrt.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(exp.f64 (log.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (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)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 2) x)) (*.f64 -1 (*.f64 y x)))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (fma.f64 2 (*.f64 x (*.f64 y y)) (neg.f64 (*.f64 x y))))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (*.f64 2 (*.f64 y y))) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (-.f64 (*.f64 2 (*.f64 y y)) y))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -4 (*.f64 (pow.f64 y 3) x)) (*.f64 -1 (*.f64 y x))))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (fma.f64 2 (*.f64 x (*.f64 y y)) (fma.f64 -4 (*.f64 x (pow.f64 y 3)) (neg.f64 (*.f64 x y)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 x (+.f64 (*.f64 2 (*.f64 y y)) (*.f64 -4 (pow.f64 y 3)))) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (*.f64 x (+.f64 (*.f64 (*.f64 y y) (+.f64 2 (*.f64 -4 y))) (-.f64 1/2 y))))
(log.f64 2)
(+.f64 (*.f64 1/4 (/.f64 x y)) (log.f64 2))
(fma.f64 1/4 (/.f64 x y) (log.f64 2))
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (log.f64 2) (*.f64 -1/8 (/.f64 x (pow.f64 y 2)))))
(+.f64 (fma.f64 1/4 (/.f64 x y) (log.f64 2)) (*.f64 -1/8 (/.f64 x (*.f64 y y))))
(fma.f64 1/4 (/.f64 x y) (fma.f64 -1/8 (/.f64 x (*.f64 y y)) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 (/.f64 x y) (+.f64 1/4 (/.f64 -1/8 y))))
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (*.f64 1/16 (/.f64 x (pow.f64 y 3))) (+.f64 (log.f64 2) (*.f64 -1/8 (/.f64 x (pow.f64 y 2))))))
(fma.f64 1/4 (/.f64 x y) (fma.f64 1/16 (/.f64 x (pow.f64 y 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (/.f64 x (*.f64 y y))))))
(fma.f64 1/4 (/.f64 x y) (fma.f64 1/16 (/.f64 x (pow.f64 y 3)) (fma.f64 -1/8 (/.f64 x (*.f64 y y)) (log.f64 2))))
(+.f64 (fma.f64 1/4 (/.f64 x y) (log.f64 2)) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/8 (/.f64 1/16 y))))
(log.f64 2)
(+.f64 (*.f64 1/4 (/.f64 x y)) (log.f64 2))
(fma.f64 1/4 (/.f64 x y) (log.f64 2))
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (log.f64 2) (*.f64 -1/8 (/.f64 x (pow.f64 y 2)))))
(+.f64 (fma.f64 1/4 (/.f64 x y) (log.f64 2)) (*.f64 -1/8 (/.f64 x (*.f64 y y))))
(fma.f64 1/4 (/.f64 x y) (fma.f64 -1/8 (/.f64 x (*.f64 y y)) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 (/.f64 x y) (+.f64 1/4 (/.f64 -1/8 y))))
(+.f64 (*.f64 1/4 (/.f64 x y)) (+.f64 (*.f64 1/16 (/.f64 x (pow.f64 y 3))) (+.f64 (log.f64 2) (*.f64 -1/8 (/.f64 x (pow.f64 y 2))))))
(fma.f64 1/4 (/.f64 x y) (fma.f64 1/16 (/.f64 x (pow.f64 y 3)) (+.f64 (log.f64 2) (*.f64 -1/8 (/.f64 x (*.f64 y y))))))
(fma.f64 1/4 (/.f64 x y) (fma.f64 1/16 (/.f64 x (pow.f64 y 3)) (fma.f64 -1/8 (/.f64 x (*.f64 y y)) (log.f64 2))))
(+.f64 (fma.f64 1/4 (/.f64 x y) (log.f64 2)) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/8 (/.f64 1/16 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.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 x y)))
(*.f64 x (-.f64 1/2 y))
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(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (log.f64 2))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x -1/4) (/.f64 1 (neg.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 1 (+.f64 1/2 y)) (*.f64 x 1/4) (log.f64 2))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 x 1) (/.f64 1/4 (+.f64 1/2 y)) (log.f64 2))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 1/4 (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (+.f64 1/2 y)) 1/4 (log.f64 2))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 1/4 (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (*.f64 x 1/4) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 1/4 (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 y))) (/.f64 (*.f64 x 1/4) (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/4)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (log.f64 2))
(fma.f64 (cbrt.f64 (*.f64 x (/.f64 1/4 (+.f64 1/2 y)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (log.f64 2))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 (*.f64 x 1/4)) (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) 1) (/.f64 (*.f64 1/2 (sqrt.f64 x)) (+.f64 1/2 y)) (log.f64 2))
(fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))
(fma.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (*.f64 1/2 (sqrt.f64 x)) (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 1/4 (cbrt.f64 (+.f64 1/2 y))) (log.f64 2))
(fma.f64 (/.f64 (*.f64 x 1/4) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4) (log.f64 2))
(fma.f64 (/.f64 (*.f64 1/4 x) (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y (+.f64 y -1/2) 1/4) (log.f64 2))
(fma.f64 (/.f64 1/4 (/.f64 (+.f64 (pow.f64 y 3) 1/8) x)) (fma.f64 y (+.f64 y -1/2) 1/4) (log.f64 2))
(fma.f64 (/.f64 (*.f64 x 1/4) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 (*.f64 1/4 x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (/.f64 1/4 (/.f64 (-.f64 1/4 (*.f64 y y)) x)) (-.f64 1/2 y) (log.f64 2))
(fma.f64 (*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) 1/4) (-.f64 1/2 y) (log.f64 2))
(+.f64 0 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))) (cbrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (/.f64 x (+.f64 1/2 y)))) (cbrt.f64 (pow.f64 (exp.f64 1/4) (/.f64 x (+.f64 1/2 y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (/.f64 x (+.f64 1/2 y))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (/.f64 x (+.f64 1/2 y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (/.f64 x (+.f64 1/2 y))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (/.f64 x (+.f64 1/2 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (/.f64 x (+.f64 1/2 y))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))) 1)
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 x (/.f64 1 (*.f64 (+.f64 1/2 y) 4)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 x (*.f64 1/4 (/.f64 1 (+.f64 1/2 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (*.f64 x (/.f64 1 (+.f64 1/2 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (*.f64 x 1/4) (/.f64 1 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 1)
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (*.f64 (cbrt.f64 (*.f64 x 1/4)) (/.f64 1 (+.f64 1/2 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2) (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 (*.f64 1/2 (sqrt.f64 x)) (/.f64 1 (+.f64 1/2 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (*.f64 x -1/4) (/.f64 1 (neg.f64 (+.f64 1/2 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (/.f64 1 (+.f64 1/2 y)) (*.f64 x 1/4))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (/.f64 x 1) (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 1/4 (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))) (/.f64 x (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (+.f64 1/2 y)) 1/4)
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 x (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 1/4 (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (*.f64 x 1/4) (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 1/4 (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1/2 y))) (/.f64 (*.f64 x 1/4) (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 1/4)) (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2) (cbrt.f64 (*.f64 x (/.f64 1/4 (+.f64 1/2 y))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/4)) 2) (sqrt.f64 (+.f64 1/2 y))) (/.f64 (cbrt.f64 (*.f64 x 1/4)) (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1/2 y))) (/.f64 1/4 (sqrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) 1) (/.f64 (*.f64 1/2 (sqrt.f64 x)) (+.f64 1/2 y)))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(*.f64 (/.f64 (*.f64 1/2 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 (*.f64 1/2 (sqrt.f64 x)) (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1/2 y)) 2)) (/.f64 1/4 (cbrt.f64 (+.f64 1/2 y))))
(*.f64 (/.f64 (*.f64 x 1/4) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))
(*.f64 (/.f64 (*.f64 1/4 x) (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y (+.f64 y -1/2) 1/4))
(*.f64 (/.f64 1/4 (/.f64 (+.f64 (pow.f64 y 3) 1/8) x)) (fma.f64 y (+.f64 y -1/2) 1/4))
(*.f64 (/.f64 (*.f64 x 1/4) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(*.f64 (/.f64 (*.f64 1/4 x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))
(/.f64 (*.f64 1/4 (*.f64 x (-.f64 1/2 y))) (-.f64 1/4 (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x (-.f64 1/4 (*.f64 y y))) 1/4) (-.f64 1/2 y))
(pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 1)
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 3)
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(pow.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3) 1/3)
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(pow.f64 (sqrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 2)
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(pow.f64 (*.f64 4 (/.f64 (+.f64 1/2 y) x)) -1)
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(neg.f64 (/.f64 (*.f64 x 1/4) (neg.f64 (+.f64 1/2 y))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(sqrt.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 2))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(log.f64 (exp.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(cbrt.f64 (pow.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y))) 3))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(exp.f64 (log.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 1))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(log1p.f64 (expm1.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))))
(*.f64 1/4 (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))

eval124.0ms (1.5%)

Compiler

Compiled 6258 to 4379 computations (30% saved)

prune155.0ms (1.8%)

Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New37312385
Fresh145
Picked011
Done189
Total37525400
Accurracy
99.7%
Counts
400 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.3%
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 y 1/2) x))
20.7%
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
92.6%
(-.f64 (log.f64 2) (*.f64 x y))
49.7%
(+.f64 (fma.f64 x 1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2)))) (neg.f64 y))) (log.f64 2))
47.0%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 3) (log.f64 2))
47.0%
(+.f64 (/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) (log.f64 2))
47.0%
(+.f64 (*.f64 (/.f64 x 1) (/.f64 1/4 (+.f64 1/2 y))) (log.f64 2))
82.8%
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
47.5%
(+.f64 (*.f64 x 1/2) (log.f64 2))
24.7%
(+.f64 (exp.f64 (+.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))) (*.f64 -1 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3)))))) (log.f64 2))
22.0%
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
38.0%
(*.f64 (-.f64 1/2 y) x)
21.4%
(*.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 x (*.f64 y y)) (+.f64 -1/2 (/.f64 1/4 y)))) (-.f64 1/4 (*.f64 y y)))
21.7%
(*.f64 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 x (*.f64 y y)))) (-.f64 1/4 (*.f64 y y)))
21.9%
(*.f64 (*.f64 (+.f64 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y y)))
6.7%
(*.f64 (*.f64 x (+.f64 2 (*.f64 y (+.f64 -4 (*.f64 8 y))))) (-.f64 1/4 (*.f64 y y)))
2.6%
(*.f64 (*.f64 x (+.f64 2 (*.f64 y -4))) (-.f64 1/4 (*.f64 y y)))
6.8%
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
54.3%
(*.f64 y (neg.f64 x))
2.9%
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
3.5%
(*.f64 1/2 x)
51.2%
(log1p.f64 (exp.f64 x))
46.3%
(log.f64 (+.f64 2 x))
47.0%
(log.f64 2)
46.5%
(expm1.f64 (log1p.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
Compiler

Compiled 725 to 518 computations (28.6% saved)

regimes65.0ms (0.8%)

Counts
37 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 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 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y 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)))
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (*.f64 (/.f64 x 1) (/.f64 1/4 (+.f64 1/2 y))) (log.f64 2))
(+.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 (/.f64 x (+.f64 1/2 y)))) 3) (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/4 (/.f64 x (+.f64 1/2 y)) (log.f64 2))))
(+.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3)) (log.f64 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))
(+.f64 (fma.f64 x 1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x 13) 1/18) (pow.f64 (pow.f64 x 13) 1/18)) (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2)))) (neg.f64 y))) (log.f64 2))
(+.f64 (exp.f64 (+.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (cbrt.f64 1/2)))) (*.f64 -1 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 x 4)) 1/9) (*.f64 y (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3)))))) (log.f64 2))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Calls

3 calls:

23.0ms
y
19.0ms
x
12.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 411 to 274 computations (33.3% saved)

regimes37.0ms (0.4%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 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 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y 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)))
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (*.f64 (/.f64 x 1) (/.f64 1/4 (+.f64 1/2 y))) (log.f64 2))
(+.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

2 calls:

16.0ms
y
14.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
Compiler

Compiled 261 to 156 computations (40.2% saved)

regimes46.0ms (0.5%)

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 1/4 (+.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 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 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y 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)))
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(+.f64 (/.f64 (*.f64 x 1/4) (+.f64 1/2 y)) (log.f64 2))
(+.f64 (*.f64 (/.f64 x 1) (/.f64 1/4 (+.f64 1/2 y))) (log.f64 2))
(+.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y)) (log.f64 2))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
Outputs
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Calls

2 calls:

26.0ms
x
14.0ms
y
Results
AccuracySegmentsBranch
99.3%2x
92.6%1y
Compiler

Compiled 254 to 155 computations (39% saved)

regimes25.0ms (0.3%)

Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 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 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y 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)))
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))
Calls

1 calls:

20.0ms
x
Results
AccuracySegmentsBranch
99.0%2x
Compiler

Compiled 190 to 111 computations (41.6% saved)

regimes91.0ms (1.1%)

Counts
19 → 5
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 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 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y 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)))
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 x 1/2) (log.f64 2))
Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
Calls

2 calls:

60.0ms
x
27.0ms
y
Results
AccuracySegmentsBranch
70.9%3y
85.8%5x
Compiler

Compiled 187 to 109 computations (41.7% saved)

regimes21.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (/.f64 1/4 (+.f64 1/2 y)))
(+.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))
(*.f64 (*.f64 2 x) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x y) (-.f64 1/4 (*.f64 y y)))
(*.f64 (/.f64 x (+.f64 1/2 y)) (-.f64 1/4 (*.f64 y y)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 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 (/.f64 -1/2 y) 1) (/.f64 x y)) (-.f64 1/4 (*.f64 y 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)))
Outputs
(*.f64 y (neg.f64 x))
Calls

2 calls:

9.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
54.3%1y
54.3%1x
Compiler

Compiled 169 to 94 computations (44.4% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
Outputs
(*.f64 1/2 x)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
3.5%1y
3.5%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch27.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-1.7874680431375216e+28
-4.173439130364144e+26
Results
11.0ms26×body1024valid
9.0ms67×body256valid
4.0ms14×body512valid
1.0msbody256infinite
Compiler

Compiled 142 to 110 computations (22.5% saved)

bsearch24.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-1.7874680431375216e+28
-4.173439130364144e+26
Results
11.0ms81×body256valid
9.0ms23×body1024valid
1.0msbody512valid
0.0msbody256infinite
Compiler

Compiled 128 to 96 computations (25% saved)

bsearch122.0ms (1.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
41.0ms
1.7158626523744133e-22
9.129886297468169e-20
15.0ms
3.2386057025781676e-203
3.7972699247139816e-200
46.0ms
9.991635806418326e-233
1.117895343430564e-224
19.0ms
-3.696395986800804e-37
-5.525782296640394e-44
Results
115.0ms544×body256valid
Compiler

Compiled 432 to 360 computations (16.7% saved)

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
042227
166227
281227
386227
488227
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -420000000000000016575889408) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -420000000000000016575889408) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -3432790011539591/24519928653854221733733552434404946937899825954937634816) (*.f64 y (neg.f64 x)) (if (<=.f64 x 1146064980651225/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (log.f64 2) (if (<=.f64 x 5824528789835699/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432) (*.f64 y (neg.f64 x)) (if (<=.f64 x 1595073594941899/2658455991569831745807614120560689152) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -420000000000000016575889408) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -420000000000000016575889408) (*.f64 y (neg.f64 x)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -420000000000000016575889408) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -3432790011539591/24519928653854221733733552434404946937899825954937634816) (*.f64 y (neg.f64 x)) (if (<=.f64 x 1146064980651225/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (log.f64 2) (if (<=.f64 x 5824528789835699/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432) (*.f64 y (neg.f64 x)) (if (<=.f64 x 1595073594941899/2658455991569831745807614120560689152) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(if (<=.f64 x -3432790011539591/24519928653854221733733552434404946937899825954937634816) (*.f64 y (neg.f64 x)) (if (<=.f64 x 1146064980651225/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (log.f64 2) (if (<=.f64 x 5824528789835699/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432) (*.f64 y (neg.f64 x)) (if (<=.f64 x 1595073594941899/2658455991569831745807614120560689152) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 100 to 69 computations (31% saved)

soundness383.0ms (4.6%)

Rules
1424×fma-neg
1340×fma-def
924×times-frac
786×fabs-mul
740×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05217103
112226881
243206847
01121
12121
23221
35021
46921
510321
615721
720821
827621
935421
1041021
1143721
1251621
1374021
14165821
15479521
16577521
17726521
Stop Event
node limit
node limit
Compiler

Compiled 33 to 18 computations (45.5% saved)

end187.0ms (2.2%)

Compiler

Compiled 254 to 152 computations (40.2% saved)

Profiling

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