Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

Time bar (total: 4.1s)

analyze0.0ms (0%)

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

Compiled 14 to 11 computations (21.4% saved)

sample927.0ms (22.4%)

Results
805.0ms7274×body256valid
110.0ms982×body256infinite
Bogosity

preprocess450.0ms (10.9%)

Algorithm
egg-herbie
Rules
5110×fma-def
806×sub-neg
532×unsub-neg
492×associate-+l-
372×associate-+r-
Problems
256×No Errors
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
033304
198264
2250236
3784224
42333224
53829224
64358224
74495224
84521224
94525224
104572224
114632224
124656224
134656210
146623210
156623210
166623210
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) 1/2)) 918938533204673/1000000000000000)
(neg.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000))
(neg.f64 (+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) 1/2)) 918938533204673/1000000000000000))
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000)
Outputs
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 (+.f64 y -1) (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) (neg.f64 x) (*.f64 y -1/2)))
(fma.f64 x (+.f64 1 (neg.f64 y)) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 x (-.f64 1 y) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 x (fma.f64 y (+.f64 x 1/2) -918938533204673/1000000000000000))
(+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x (+.f64 (neg.f64 y) -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (fma.f64 -1 y -1) (*.f64 y 1/2)))
(fma.f64 x (-.f64 -1 y) (fma.f64 y 1/2 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (-.f64 1/2 x) 918938533204673/1000000000000000) x)
(neg.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000))
(neg.f64 (+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 (+.f64 y -1) (neg.f64 x)) (*.f64 y 1/2))))
(-.f64 -918938533204673/1000000000000000 (fma.f64 (+.f64 y -1) (neg.f64 x) (*.f64 y -1/2)))
(+.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x 1/2) -918938533204673/1000000000000000) x)
(neg.f64 (+.f64 (-.f64 (*.f64 x (-.f64 (neg.f64 y) 1)) (*.f64 (neg.f64 y) 1/2)) 918938533204673/1000000000000000))
(+.f64 (neg.f64 (+.f64 (*.f64 x (+.f64 (neg.f64 y) -1)) (*.f64 y 1/2))) -918938533204673/1000000000000000)
(-.f64 -918938533204673/1000000000000000 (fma.f64 x (fma.f64 -1 y -1) (*.f64 y 1/2)))
(neg.f64 (fma.f64 x (-.f64 -1 y) (fma.f64 y 1/2 918938533204673/1000000000000000)))
(fma.f64 x (+.f64 y 1) (fma.f64 y -1/2 -918938533204673/1000000000000000))
(-.f64 x (fma.f64 y (-.f64 1/2 x) 918938533204673/1000000000000000))
(+.f64 (-.f64 (*.f64 y (-.f64 x 1)) (*.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1)) (*.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2)))
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000))
(fma.f64 x -1/2 (fma.f64 y (+.f64 x -1) 918938533204673/1000000000000000))
(-.f64 918938533204673/1000000000000000 (fma.f64 x (-.f64 1/2 y) y))
Compiler

Compiled 52 to 37 computations (28.8% saved)

eval1.0ms (0%)

Compiler

Compiled 40 to 28 computations (30% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
100.0%
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
100.0%
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
100.0%
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
Compiler

Compiled 46 to 34 computations (26.1% saved)

localize69.0ms (1.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
100.0%
(*.f64 x (+.f64 y -1))
Compiler

Compiled 56 to 37 computations (33.9% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 x (+.f64 y -1))
1.0ms
y
@-inf
(*.f64 x (+.f64 y -1))
0.0ms
x
@0
(*.f64 x (+.f64 y -1))
0.0ms
x
@inf
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
0.0ms
y
@inf
(*.f64 x (+.f64 y -1))

rewrite298.0ms (7.2%)

Algorithm
batch-egg-rewrite
Rules
1514×fma-def
1113×log1p-expm1-u
1113×expm1-log1p-u
340×expm1-udef
340×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01555
119755
2295855
Stop Event
node limit
Counts
2 → 185
Calls
Call 1
Inputs
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
Outputs
(+.f64 (*.f64 x y) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x y))
(+.f64 (*.f64 (*.f64 x y) 1) (*.f64 (neg.f64 x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
(fma.f64 x y (neg.f64 x))
(fma.f64 x -1 (*.f64 x y))
(fma.f64 y x (neg.f64 x))
(fma.f64 -1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) (neg.f64 x))
(fma.f64 1 (neg.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 x))
(fma.f64 (*.f64 x y) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (neg.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (neg.f64 x))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (neg.f64 x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(+.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (*.f64 x (+.f64 y -1)) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))
(+.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 x y) (fma.f64 x -1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(+.f64 (*.f64 x y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 1) 918938533204673/1000000000000000)
(*.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 1)
(*.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))))
(*.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 2) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))))
(*.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (/.f64 1 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2)) (/.f64 1 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(*.f64 (fma.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 x) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (*.f64 x (+.f64 y -1)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2)) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))) (neg.f64 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2))) (neg.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (*.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 918938533204673/1000000000000000))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (-.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 (-.f64 (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 918938533204673/1000000000000000))
(pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 1)
(pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 3)
(pow.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 2))
(log.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))))))
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(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 x) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 x) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 x) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2)) (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x -1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x -1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x -1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x -1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 (+.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 (+.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))

simplify142.0ms (3.4%)

Algorithm
egg-herbie
Rules
980×associate-+r+
980×fma-neg
820×times-frac
772×unswap-sqr
634×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03709658
19108654
227298289
Stop Event
node limit
Counts
233 → 229
Calls
Call 1
Inputs
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(*.f64 x (-.f64 y 1))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(*.f64 x (-.f64 y 1))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))))
(+.f64 (*.f64 x y) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x y))
(+.f64 (*.f64 (*.f64 x y) 1) (*.f64 (neg.f64 x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
(fma.f64 x y (neg.f64 x))
(fma.f64 x -1 (*.f64 x y))
(fma.f64 y x (neg.f64 x))
(fma.f64 -1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) (neg.f64 x))
(fma.f64 1 (neg.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 x))
(fma.f64 (*.f64 x y) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (neg.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x y))
(fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (*.f64 (sqrt.f64 y) (sqrt.f64 x)) (neg.f64 x))
(fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 x) (sqrt.f64 y)) (neg.f64 x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(+.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (*.f64 x (+.f64 y -1)) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))
(+.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 x y) (fma.f64 x -1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(+.f64 (*.f64 x y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 1) 918938533204673/1000000000000000)
(*.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 1)
(*.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))))
(*.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 2) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))))
(*.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (/.f64 1 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2)) (/.f64 1 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(*.f64 (fma.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 x) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (*.f64 x (+.f64 y -1)) 2)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (*.f64 x (+.f64 y -1)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2)) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))) (neg.f64 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2))) (neg.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (-.f64 (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (*.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 918938533204673/1000000000000000))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (-.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 (-.f64 (*.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 918938533204673/1000000000000000))
(pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 1)
(pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 3)
(pow.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 2)
(sqrt.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 2))
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(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 x) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 x) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (fma.f64 (sqrt.f64 (+.f64 y -1)) (sqrt.f64 x) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2)) (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x -1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x -1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x -1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x -1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 (+.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 (+.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
Outputs
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(*.f64 x y)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(*.f64 x y)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 y -1))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1))) (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 -1 (*.f64 y (+.f64 1/2 (*.f64 -1 x))))))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 (*.f64 x y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(+.f64 (neg.f64 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(+.f64 (*.f64 (*.f64 x y) 1) (*.f64 (neg.f64 x) 1))
(*.f64 x (+.f64 y -1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) 1)
(*.f64 x (+.f64 y -1))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x y) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (fma.f64 (*.f64 x y) (*.f64 x y) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (*.f64 y (*.f64 x y)) (*.f64 (neg.f64 x) (*.f64 x (-.f64 -1 y)))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 -1 (pow.f64 y 3))) (*.f64 x (+.f64 (fma.f64 x y x) (*.f64 x (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x (*.f64 y (*.f64 x y))) (*.f64 x x)) (-.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 y y -1))) (fma.f64 x y x))
(/.f64 (*.f64 x (+.f64 y -1)) 1)
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))
(/.f64 x (/.f64 (-.f64 (fma.f64 y y 1) (*.f64 y -1)) (+.f64 -1 (pow.f64 y 3))))
(*.f64 (/.f64 x (+.f64 y (fma.f64 y y 1))) (+.f64 -1 (pow.f64 y 3)))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) (fma.f64 y y -1)))
(*.f64 (/.f64 x (+.f64 y 1)) (fma.f64 y y -1))
(*.f64 (/.f64 (fma.f64 y y -1) (+.f64 y 1)) x)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1) (*.f64 y -1)))
(/.f64 x (/.f64 (-.f64 (fma.f64 y y 1) (*.f64 y -1)) (+.f64 -1 (pow.f64 y 3))))
(*.f64 (/.f64 x (+.f64 y (fma.f64 y y 1))) (+.f64 -1 (pow.f64 y 3)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) (fma.f64 y y -1)))
(*.f64 (/.f64 x (+.f64 y 1)) (fma.f64 y y -1))
(*.f64 (/.f64 (fma.f64 y y -1) (+.f64 y 1)) x)
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(*.f64 x (+.f64 y -1))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(*.f64 x (+.f64 y -1))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(*.f64 x (+.f64 y -1))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(*.f64 x (+.f64 y -1))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(*.f64 x (+.f64 y -1))
(log.f64 (pow.f64 (exp.f64 (+.f64 y -1)) x))
(*.f64 x (+.f64 y -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y -1)))))
(*.f64 x (+.f64 y -1))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3))
(*.f64 x (+.f64 y -1))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(exp.f64 (log.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y -1))) 1))
(*.f64 x (+.f64 y -1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
(*.f64 x (+.f64 y -1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 x -1 (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 -1 x (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 1 (*.f64 x y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 1 (neg.f64 x) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1) (*.f64 x y))
(*.f64 x (+.f64 y -1))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(fma.f64 (*.f64 x y) 1 (*.f64 (neg.f64 x) 1))
(*.f64 x (+.f64 y -1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 (*.f64 x y))) (cbrt.f64 (*.f64 x y)) (neg.f64 x))
(*.f64 x (+.f64 y -1))
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(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x -1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 (+.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 (+.f64 y -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 x (+.f64 y -1)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))

eval240.0ms (5.8%)

Compiler

Compiled 4497 to 3052 computations (32.1% saved)

prune34.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2254229
Fresh000
Picked202
Done000
Total2274231
Accuracy
100.0%
Counts
231 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
48.2%
(-.f64 918938533204673/1000000000000000 x)
100.0%
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
53.7%
(*.f64 y (-.f64 x 1/2))
52.5%
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
48.2%
(-.f64 918938533204673/1000000000000000 x)
100.0%
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
53.7%
(*.f64 y (-.f64 x 1/2))
Compiler

Compiled 60 to 46 computations (23.3% saved)

localize76.0ms (1.8%)

Localize:

Found 2 expressions with local error:

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

Compiled 58 to 37 computations (36.2% saved)

series13.0ms (0.3%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
(*.f64 y (-.f64 x 1/2))
1.0ms
y
@inf
(*.f64 y (-.f64 x 1/2))
0.0ms
y
@0
(*.f64 y (-.f64 x 1/2))
0.0ms
y
@-inf
(*.f64 y (-.f64 x 1/2))
0.0ms
x
@0
(*.f64 y (-.f64 x 1/2))

rewrite88.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
726×unpow-prod-down
578×log1p-expm1-u
578×expm1-log1p-u
526×log-prod
467×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
116038
2163638
Stop Event
node limit
Counts
2 → 126
Calls
Call 1
Inputs
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
Outputs
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(+.f64 (*.f64 y -1/2) (*.f64 y x))
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (*.f64 y -1/2) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (*.f64 (pow.f64 y 3) -1/8)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (*.f64 y -1/2) 2) (*.f64 (*.f64 y x) (*.f64 y -1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y -1/2) 2)) (-.f64 (*.f64 y x) (*.f64 y -1/2)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 y (+.f64 x -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (+.f64 x -1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) 2))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (+.f64 x -1/2)) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 y x))
(fma.f64 x y (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 y x))
(fma.f64 1 (*.f64 y x) (*.f64 y -1/2))
(fma.f64 1 (*.f64 y -1/2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1/2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1/2) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y -1/2))
(fma.f64 (*.f64 y x) 1 (*.f64 (*.f64 y -1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (cbrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y -1/2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y -1/2))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -1/2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -1/2))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(+.f64 (*.f64 y -1/2) (*.f64 y x))
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (*.f64 y -1/2) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (*.f64 (pow.f64 y 3) -1/8)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (*.f64 y -1/2) 2) (*.f64 (*.f64 y x) (*.f64 y -1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y -1/2) 2)) (-.f64 (*.f64 y x) (*.f64 y -1/2)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 y (+.f64 x -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (+.f64 x -1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) 2))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (+.f64 x -1/2)) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 y x))
(fma.f64 x y (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 y x))
(fma.f64 1 (*.f64 y x) (*.f64 y -1/2))
(fma.f64 1 (*.f64 y -1/2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1/2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1/2) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y -1/2))
(fma.f64 (*.f64 y x) 1 (*.f64 (*.f64 y -1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (cbrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y -1/2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y -1/2))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -1/2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -1/2))

simplify152.0ms (3.7%)

Algorithm
egg-herbie
Rules
1354×associate-/r*
982×fma-def
478×distribute-lft-in
474×associate-*r/
452×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01813938
14323804
210943764
343803764
Stop Event
node limit
Counts
162 → 84
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(+.f64 (*.f64 y -1/2) (*.f64 y x))
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (*.f64 y -1/2) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (*.f64 (pow.f64 y 3) -1/8)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (*.f64 y -1/2) 2) (*.f64 (*.f64 y x) (*.f64 y -1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y -1/2) 2)) (-.f64 (*.f64 y x) (*.f64 y -1/2)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 y (+.f64 x -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (+.f64 x -1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) 2))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (+.f64 x -1/2)) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 y x))
(fma.f64 x y (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 y x))
(fma.f64 1 (*.f64 y x) (*.f64 y -1/2))
(fma.f64 1 (*.f64 y -1/2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1/2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1/2) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y -1/2))
(fma.f64 (*.f64 y x) 1 (*.f64 (*.f64 y -1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (cbrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y -1/2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y -1/2))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -1/2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -1/2))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(+.f64 (*.f64 y -1/2) (*.f64 y x))
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (*.f64 y -1/2) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (*.f64 (pow.f64 y 3) -1/8)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (*.f64 y -1/2) 2) (*.f64 (*.f64 y x) (*.f64 y -1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y -1/2) 2)) (-.f64 (*.f64 y x) (*.f64 y -1/2)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 y (+.f64 x -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))) (sqrt.f64 (log.f64 (*.f64 y (+.f64 x -1/2)))))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (+.f64 x -1/2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2)))) 2))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (+.f64 x -1/2)) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (log.f64 y)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (*.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 y x))
(fma.f64 x y (*.f64 y -1/2))
(fma.f64 -1/2 y (*.f64 y x))
(fma.f64 1 (*.f64 y x) (*.f64 y -1/2))
(fma.f64 1 (*.f64 y -1/2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) -1/2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) -1/2) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (*.f64 y -1/2))
(fma.f64 (*.f64 y x) 1 (*.f64 (*.f64 y -1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (cbrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y -1/2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y -1/2))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -1/2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -1/2))
Outputs
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 -1/2 y)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 y -1/2) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (*.f64 y -1/2) 1))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(*.f64 y (+.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(*.f64 y (+.f64 -1/2 x))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (*.f64 (pow.f64 y 3) -1/8)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (*.f64 y -1/2) 2) (*.f64 (*.f64 y x) (*.f64 y -1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (*.f64 (pow.f64 y 3) -1/8)) (+.f64 (pow.f64 (*.f64 y x) 2) (-.f64 (pow.f64 (*.f64 -1/2 y) 2) (*.f64 y (*.f64 x (*.f64 -1/2 y))))))
(/.f64 (*.f64 (pow.f64 y 3) (+.f64 -1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (*.f64 -1/2 y) (-.f64 (*.f64 -1/2 y) (*.f64 y x)))))
(/.f64 (pow.f64 y 3) (/.f64 (fma.f64 1/4 (pow.f64 y 2) (*.f64 (*.f64 x (pow.f64 y 2)) (+.f64 x 1/2))) (+.f64 -1/8 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) 2) (pow.f64 (*.f64 y -1/2) 2)) (-.f64 (*.f64 y x) (*.f64 y -1/2)))
(*.f64 y (+.f64 -1/2 x))
(/.f64 (*.f64 y (+.f64 (pow.f64 x 3) -1/8)) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))
(/.f64 y (/.f64 (-.f64 (fma.f64 x x 1/4) (*.f64 -1/2 x)) (+.f64 -1/8 (pow.f64 x 3))))
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(*.f64 y (+.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/2)) 2) (cbrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (cbrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 y -1/2)) (sqrt.f64 (*.f64 y -1/2)) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)) (*.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 (*.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y x))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))

eval22.0ms (0.5%)

Compiler

Compiled 959 to 617 computations (35.7% saved)

prune16.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New82284
Fresh000
Picked044
Done000
Total82688
Accuracy
100.0%
Counts
88 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
48.2%
(-.f64 918938533204673/1000000000000000 x)
100.0%
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
53.7%
(*.f64 y (-.f64 x 1/2))
24.7%
(*.f64 y x)
31.5%
(*.f64 -1/2 y)
52.5%
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
48.2%
(-.f64 918938533204673/1000000000000000 x)
100.0%
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
53.7%
(*.f64 y (-.f64 x 1/2))
24.7%
(*.f64 y x)
31.5%
(*.f64 -1/2 y)
Compiler

Compiled 80 to 60 computations (25% saved)

localize36.0ms (0.9%)

Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked022
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.5%
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
48.2%
(-.f64 918938533204673/1000000000000000 x)
100.0%
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
53.7%
(*.f64 y (-.f64 x 1/2))
24.7%
(*.f64 y x)
31.5%
(*.f64 -1/2 y)
Compiler

Compiled 100 to 71 computations (29% saved)

regimes28.0ms (0.7%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
Outputs
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
Calls

4 calls:

7.0ms
x
7.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
6.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
6.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
100.0%1(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
Compiler

Compiled 90 to 63 computations (30% saved)

regimes79.0ms (1.9%)

Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
Calls

2 calls:

63.0ms
x
14.0ms
y
Results
AccuracySegmentsBranch
81.7%6x
98.3%3y
Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes70.0ms (1.7%)

Counts
3 → 7
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
Outputs
(*.f64 -1/2 y)
(*.f64 y x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y x)
(*.f64 -1/2 y)
Calls

2 calls:

36.0ms
x
32.0ms
y
Results
AccuracySegmentsBranch
66.7%11x
82.5%7y
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes28.0ms (0.7%)

Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 -1/2 y)
(*.f64 y x)
Outputs
(*.f64 y x)
(*.f64 -1/2 y)
(*.f64 y x)
Calls

2 calls:

17.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
53.3%3x
37.6%5y
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
31.5%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch36.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
0.014158093171518171
886.5750784699289
19.0ms
-254318930483.0885
-2.8070321056064083e-5
Results
33.0ms288×body256valid
Compiler

Compiled 270 to 212 computations (21.5% saved)

bsearch116.0ms (2.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.3165900572620527e+52
2.225371774349045e+53
15.0ms
0.014158093171518171
886.5750784699289
52.0ms
-1621957909648739000.0
-240986154270589.28
9.0ms
-1.4879772023652701e+49
-4.192243992580977e+48
17.0ms
-1.6980258286646472e+237
-2.1776809626345482e+232
8.0ms
-3.7134596883537753e+260
-2.0419268741141908e+260
Results
96.0ms547×body256valid
11.0ms109×body256infinite
Compiler

Compiled 510 to 383 computations (24.9% saved)

bsearch37.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.3223852994598648e-13
9.478026144226042e-7
19.0ms
-155438672711100100.0
-0.4151673015857684
Results
33.0ms304×body256valid
Compiler

Compiled 246 to 185 computations (24.8% saved)

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Rules
14×+-commutative
12×*-commutative
10×sub-neg
neg-mul-1
if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051309
171309
280309
384309
486309
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(if (<=.f64 y -3152519739159347/2251799813685248) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 5854679515581645/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -339999999999999975783105776924697562538091369075936048158805703438499832420539347962633756089987013990441292521646171598646979659610381672840762882189615744215650516653573590989079128994690810910434760036908473062505602591435047035780814166103645557033986424832) (*.f64 -1/2 y) (if (<=.f64 y -2950000000000000043879199656517264777065645211512190253086150557114847011740111615897773051500104951927631056325491188883155761384365964767653044176025381238564131727735751679235832792401390980309178916432957570877020515364874731126784) (*.f64 y x) (if (<=.f64 y -7600000000000000008709853484152373112062741577728) (*.f64 -1/2 y) (if (<=.f64 y -245000000000000) (*.f64 y x) (if (<=.f64 y 2476979795053773/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 107999999999999999267862456831055821457864511729958912) (*.f64 y x) (*.f64 -1/2 y)))))))
(if (<=.f64 x -1/2) (*.f64 y x) (if (<=.f64 x 8878048987794933/9444732965739290427392) (*.f64 -1/2 y) (*.f64 y x)))
(*.f64 -1/2 y)
Outputs
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(if (<=.f64 y -3152519739159347/2251799813685248) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 5854679515581645/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -3152519739159347/2251799813685248) (not (<=.f64 y 5854679515581645/4503599627370496))) (*.f64 y (-.f64 x 1/2)) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 y -339999999999999975783105776924697562538091369075936048158805703438499832420539347962633756089987013990441292521646171598646979659610381672840762882189615744215650516653573590989079128994690810910434760036908473062505602591435047035780814166103645557033986424832) (*.f64 -1/2 y) (if (<=.f64 y -2950000000000000043879199656517264777065645211512190253086150557114847011740111615897773051500104951927631056325491188883155761384365964767653044176025381238564131727735751679235832792401390980309178916432957570877020515364874731126784) (*.f64 y x) (if (<=.f64 y -7600000000000000008709853484152373112062741577728) (*.f64 -1/2 y) (if (<=.f64 y -245000000000000) (*.f64 y x) (if (<=.f64 y 2476979795053773/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 107999999999999999267862456831055821457864511729958912) (*.f64 y x) (*.f64 -1/2 y)))))))
(if (<=.f64 y -339999999999999975783105776924697562538091369075936048158805703438499832420539347962633756089987013990441292521646171598646979659610381672840762882189615744215650516653573590989079128994690810910434760036908473062505602591435047035780814166103645557033986424832) (*.f64 y -1/2) (if (<=.f64 y -2950000000000000043879199656517264777065645211512190253086150557114847011740111615897773051500104951927631056325491188883155761384365964767653044176025381238564131727735751679235832792401390980309178916432957570877020515364874731126784) (*.f64 y x) (if (<=.f64 y -7600000000000000008709853484152373112062741577728) (*.f64 y -1/2) (if (<=.f64 y -245000000000000) (*.f64 y x) (if (<=.f64 y 2476979795053773/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 107999999999999999267862456831055821457864511729958912) (*.f64 y x) (*.f64 y -1/2)))))))
(if (<=.f64 x -1/2) (*.f64 y x) (if (<=.f64 x 8878048987794933/9444732965739290427392) (*.f64 -1/2 y) (*.f64 y x)))
(if (or (<=.f64 x -1/2) (not (<=.f64 x 8878048987794933/9444732965739290427392))) (*.f64 y x) (*.f64 y -1/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)
Compiler

Compiled 99 to 67 computations (32.3% saved)

soundness1.1s (26.4%)

Rules
5110×fma-def
1354×associate-/r*
982×fma-def
980×associate-+r+
980×fma-neg
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
033304
198264
2250236
3784224
42333224
53829224
64358224
74495224
84521224
94525224
104572224
114632224
124656224
134656210
146623210
156623210
166623210
03709658
19108654
227298289
01813938
14323804
210943764
343803764
03709658
19108654
227298289
Stop Event
node limit
node limit
node limit
saturated
Compiler

Compiled 257 to 174 computations (32.3% saved)

end0.0ms (0%)

preprocess59.0ms (1.4%)

Compiler

Compiled 208 to 136 computations (34.6% saved)

Profiling

Loading profile data...