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

Time bar (total: 6.3s)

analyze0.0ms (0%)

Algorithm
1×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)

sample1.1s (18.2%)

Results
1.0s7208×256valid
99.0ms1048×256infinite
Bogosity

preprocess546.0ms (8.7%)

Algorithm
1×egg-herbie
Rules
5110×fma-def
806×sub-neg
532×unsub-neg
492×associate-+l-
372×associate-+r-
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-y
00-0-1/2
00-0-(*.f64 x (-.f64 y 1))
00-0-(-.f64 y 1)
00-0-918938533204673/1000000000000000
00-0-(*.f64 y 1/2)
00-0-1
00-0-(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
00-0-(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
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
1×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 91 to 64 computations (29.7% saved)

eval1.0ms (0%)

Compiler

Compiled 40 to 28 computations (30% saved)

prune2.0ms (0%)

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))
Compiler

Compiled 23 to 17 computations (26.1% saved)

localize149.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
1/2
✓100.0%
-1
✓100.0%
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
✓100.0%
(*.f64 x (+.f64 y -1))
✓100.0%
x
✓100.0%
918938533204673/1000000000000000
✓100.0%
1/2
✓100.0%
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
Rules
2236×fma-def
440×fma-neg
294×sub-neg
242×associate-+l-
232×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019166
144166
2103166
3240166
4660166
51492166
62212166
72732166
82888166
92911166
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
918938533204673/1000000000000000
(fma.f64 y (-.f64 1/2 x) x)
y
(-.f64 1/2 x)
1/2
x
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(*.f64 x (+.f64 y -1))
x
(+.f64 y -1)
y
-1
(-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)
(*.f64 y 1/2)
1/2
918938533204673/1000000000000000
Outputs
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
918938533204673/1000000000000000
(fma.f64 y (-.f64 1/2 x) x)
y
(-.f64 1/2 x)
1/2
x
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(*.f64 x (+.f64 y -1))
x
(+.f64 y -1)
y
-1
(-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)
(fma.f64 y 1/2 -918938533204673/1000000000000000)
(*.f64 y 1/2)
1/2
918938533204673/1000000000000000
Compiler

Compiled 56 to 37 computations (33.9% saved)

series11.0ms (0.2%)

Counts
8 → 72
Calls

21 calls:

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

rewrite265.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
1048×log1p-expm1-u
707×expm1-log1p-u
504×expm1-udef
504×log1p-udef
188×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01993
128293
2430893
Stop Event
1×node limit
Counts
8 → 118
Calls
Call 1
Inputs
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
1/2
918938533204673/1000000000000000
x
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 x (+.f64 y -1)) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
-1
1/2
Outputs
(+.f64 918938533204673/1000000000000000 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)))
(+.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 1))
(+.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 918938533204673/1000000000000000)
(*.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 1)
(*.f64 1 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))
(*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(*.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2)) (/.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(/.f64 1 (/.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3))))
(/.f64 1 (/.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2)) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))
(/.f64 (neg.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3))) (neg.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))
(/.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2))) (neg.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (*.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) (neg.f64 (fma.f64 y (-.f64 1/2 x) x))) (*.f64 918938533204673/1000000000000000 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) (neg.f64 (fma.f64 y (-.f64 1/2 x) x)))) (-.f64 918938533204673/1000000000000000 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))))
(pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 1)
(pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2)
(sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 2))
(log.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 3))
(expm1.f64 (log1p.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(exp.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 1))
(log1p.f64 (expm1.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))
(+.f64 (*.f64 y x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 y x))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (neg.f64 x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y x) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 (*.f64 y -1))))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 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 y x (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 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 (fma.f64 x (+.f64 y -1) (neg.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)))
(+.f64 (fma.f64 x (+.f64 y -1) (neg.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)))
(+.f64 (fma.f64 x (+.f64 y -1) (neg.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)))
(+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (+.f64 (neg.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(+.f64 (*.f64 y x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 1) 918938533204673/1000000000000000)
(*.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 1)
(*.f64 1 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(*.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 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (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 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (-.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)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(/.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 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(/.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 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 (*.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 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000))
(pow.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (+.f64 y -1) x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 1 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 2) (cbrt.f64 (*.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))

simplify111.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1328×times-frac
570×fma-def
488×log-prod
428×sub-neg
420×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03266952
18556372
238786162
Stop Event
1×node limit
Counts
190 → 162
Calls
Call 1
Inputs
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 -1 (*.f64 y (-.f64 1/2 x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))) (*.f64 1/2 y))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))) (*.f64 1/2 y))
(*.f64 -1 (*.f64 x (-.f64 1 y)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (-.f64 1 y)))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (-.f64 1 y)))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (-.f64 1 y)))) (*.f64 1/2 y))
(*.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 918938533204673/1000000000000000 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)))
(+.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 1))
(+.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 918938533204673/1000000000000000)
(*.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 1)
(*.f64 1 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))
(*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(*.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2)) (/.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(/.f64 1 (/.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3))))
(/.f64 1 (/.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2)) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))
(/.f64 (neg.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3))) (neg.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))
(/.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2))) (neg.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (*.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) (neg.f64 (fma.f64 y (-.f64 1/2 x) x))) (*.f64 918938533204673/1000000000000000 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (neg.f64 (fma.f64 y (-.f64 1/2 x) x)) (neg.f64 (fma.f64 y (-.f64 1/2 x) x)))) (-.f64 918938533204673/1000000000000000 (neg.f64 (fma.f64 y (-.f64 1/2 x) x))))
(pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 1)
(pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 2)
(sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 2))
(log.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 3))
(expm1.f64 (log1p.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(exp.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))) 1))
(log1p.f64 (expm1.f64 (-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(log1p.f64 (expm1.f64 x))
(+.f64 (*.f64 y x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 y x))
(+.f64 (*.f64 (*.f64 y x) 1) (*.f64 (neg.f64 x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 y x) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 -1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 (*.f64 y -1))))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 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 y x (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 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 (fma.f64 x (+.f64 y -1) (neg.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)))
(+.f64 (fma.f64 x (+.f64 y -1) (neg.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)))
(+.f64 (fma.f64 x (+.f64 y -1) (neg.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)))
(+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 y x) (+.f64 (neg.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(+.f64 (*.f64 y x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 1) 918938533204673/1000000000000000)
(*.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 1)
(*.f64 1 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(*.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 (+.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (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 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (-.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)) (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(/.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 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(/.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 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 (*.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 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000))
(pow.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (+.f64 y -1) x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 1 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 2) (cbrt.f64 (*.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
Outputs
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 -1 (*.f64 y (-.f64 1/2 x)))
(*.f64 (neg.f64 y) (-.f64 1/2 x))
(*.f64 y (neg.f64 (-.f64 1/2 x)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 y (-.f64 1/2 x)))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.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 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 -1 (*.f64 x (-.f64 1 y)))
(*.f64 (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (-.f64 1 y)))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (-.f64 1 y)))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 -1 (*.f64 x (-.f64 1 y)))) (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 x (-.f64 y 1))
(*.f64 (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 (neg.f64 x) (-.f64 1 y))
(*.f64 (-.f64 1 y) (neg.f64 x))
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(/.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 (-.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 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (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 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (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 (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 (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)) 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 (-.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 (+.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 (*.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (*.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (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 (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 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000))))
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 3)) (fma.f64 (fma.f64 y (-.f64 1/2 x) x) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)) 844448027808355901771309036929/1000000000000000000000000000000))
(/.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 (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 (-.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 (-.f64 (*.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y))) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (+.f64 (*.f64 x (+.f64 y -1)) (*.f64 -1/2 y)) 918938533204673/1000000000000000))
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2)) (/.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (fma.f64 y (-.f64 1/2 x) x) 2)) (+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x)))
(pow.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 1)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 3)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 3) 1/3)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 2)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(log.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) 3))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(exp.f64 (log.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) 1))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (+.f64 y -1) x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 1 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 2) (cbrt.f64 (*.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) (sqrt.f64 (*.f64 x (+.f64 y -1))) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) x)
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)

eval62.0ms (1%)

Compiler

Compiled 3046 to 2132 computations (30% saved)

prune29.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1955200
Fresh000
Picked202
Done000
Total1975202
Accuracy
100.0%
Counts
202 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
▶50.7%
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶51.0%
(-.f64 918938533204673/1000000000000000 x)
▶50.4%
(*.f64 y (-.f64 x 1/2))
▶49.6%
(*.f64 x (+.f64 y -1))
Compiler

Compiled 74 to 56 computations (24.3% saved)

localize168.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 1/2 y)
✓100.0%
y
✓100.0%
918938533204673/1000000000000000
✓100.0%
1/2
✓100.0%
y
100.0%
x
✓100.0%
1/2
✓100.0%
(*.f64 y (-.f64 x 1/2))
✓100.0%
y
100.0%
x
✓100.0%
-1
100.0%
(*.f64 x (+.f64 y -1))
✓100.0%
(-.f64 918938533204673/1000000000000000 x)
100.0%
x
✓100.0%
918938533204673/1000000000000000
✓100.0%
918938533204673/1000000000000000
✓100.0%
1/2
✓100.0%
(*.f64 y (-.f64 x 1/2))
✓100.0%
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
Rules
2296×fma-def
282×cancel-sign-sub-inv
230×sub-neg
212×fma-neg
198×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019221
143213
273209
3126209
4272209
5602209
61094209
72029209
82585209
92693209
102699209
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
918938533204673/1000000000000000
(*.f64 y (-.f64 x 1/2))
y
(-.f64 x 1/2)
x
1/2
(-.f64 918938533204673/1000000000000000 x)
918938533204673/1000000000000000
x
(*.f64 x (+.f64 y -1))
x
(+.f64 y -1)
y
-1
(*.f64 y (-.f64 x 1/2))
y
(-.f64 x 1/2)
x
1/2
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
918938533204673/1000000000000000
(*.f64 1/2 y)
1/2
y
Outputs
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
918938533204673/1000000000000000
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
y
(-.f64 x 1/2)
(+.f64 x -1/2)
x
1/2
(-.f64 918938533204673/1000000000000000 x)
918938533204673/1000000000000000
x
(*.f64 x (+.f64 y -1))
x
(+.f64 y -1)
y
-1
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
y
(-.f64 x 1/2)
(+.f64 x -1/2)
x
1/2
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
918938533204673/1000000000000000
(*.f64 1/2 y)
(*.f64 y 1/2)
1/2
y
Compiler

Compiled 69 to 44 computations (36.2% saved)

series6.0ms (0.1%)

Counts
15 → 51
Calls

33 calls:

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

rewrite148.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
985×log1p-expm1-u
985×expm1-log1p-u
888×log-prod
506×fma-def
394×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015102
118698
2250098
Stop Event
1×node limit
Counts
15 → 213
Calls
Call 1
Inputs
(+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2)))
(*.f64 y (-.f64 x 1/2))
1/2
918938533204673/1000000000000000
918938533204673/1000000000000000
(-.f64 918938533204673/1000000000000000 x)
-1
y
(*.f64 y (-.f64 x 1/2))
1/2
y
1/2
918938533204673/1000000000000000
y
(*.f64 1/2 y)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) 1)
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))) (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
(*.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
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(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))
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(/.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))) (neg.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
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(pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (+.f64 x -1/2) y 918938533204673/1000000000000000)
(fma.f64 (*.f64 y (+.f64 x -1/2)) 1 918938533204673/1000000000000000)
(fma.f64 1 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 x -1/2)) y) 918938533204673/1000000000000000)
(fma.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 2) (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (+.f64 x -1/2)) (*.f64 (sqrt.f64 (+.f64 x -1/2)) y) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (*.f64 y (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) 918938533204673/1000000000000000)
(fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 918938533204673/1000000000000000)
(fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 y)) (sqrt.f64 y) 918938533204673/1000000000000000)
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(+.f64 (*.f64 x y) (*.f64 -1/2 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2))) (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
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(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
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(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
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(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
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(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 x y (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
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(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(+.f64 0 (-.f64 918938533204673/1000000000000000 x))
(+.f64 (log.f64 (exp.f64 918938533204673/1000000000000000)) (neg.f64 x))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x)))))
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(*.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)))
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 918938533204673/1000000000000000 x) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2)) (+.f64 918938533204673/1000000000000000 x))
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(/.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 x 2))) (neg.f64 (+.f64 918938533204673/1000000000000000 x)))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (neg.f64 x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 918938533204673/1000000000000000 (neg.f64 x)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 918938533204673/1000000000000000 (neg.f64 x)))
(pow.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 3)
(pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/3)
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(sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 x))))
(cbrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))
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(exp.f64 (log.f64 (-.f64 918938533204673/1000000000000000 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 918938533204673/1000000000000000 x)) 1))
(log1p.f64 (expm1.f64 (-.f64 918938533204673/1000000000000000 x)))
(fma.f64 -1 x 918938533204673/1000000000000000)
(fma.f64 1 (neg.f64 x) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) 918938533204673/1000000000000000)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) 918938533204673/1000000000000000)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 918938533204673/1000000000000000)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) 918938533204673/1000000000000000)
(+.f64 0 y)
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 (exp.f64 (log1p.f64 y)) 1)
(*.f64 y 1)
(*.f64 1 y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(pow.f64 y 1)
(pow.f64 (cbrt.f64 y) 3)
(pow.f64 (pow.f64 y 3) 1/3)
(pow.f64 (sqrt.f64 y) 2)
(sqrt.f64 (pow.f64 y 2))
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(log.f64 (+.f64 1 (expm1.f64 y)))
(cbrt.f64 (pow.f64 y 3))
(expm1.f64 (log1p.f64 y))
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(exp.f64 (*.f64 (log.f64 y) 1))
(log1p.f64 (expm1.f64 y))
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(+.f64 (*.f64 y x) (*.f64 y -1/2))
(+.f64 (*.f64 x y) (*.f64 -1/2 y))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.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) (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)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
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(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 x y (*.f64 -1/2 y))
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(-.f64 (exp.f64 (log1p.f64 y)) 1)
(*.f64 y 1)
(*.f64 1 y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
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(pow.f64 (pow.f64 y 3) 1/3)
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(sqrt.f64 (pow.f64 y 2))
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(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) 1))
(log1p.f64 (expm1.f64 y))
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(-.f64 (exp.f64 (log1p.f64 y)) 1)
(*.f64 y 1)
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(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(pow.f64 y 1)
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(pow.f64 (pow.f64 y 3) 1/3)
(pow.f64 (sqrt.f64 y) 2)
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(log.f64 (exp.f64 y))
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(cbrt.f64 (pow.f64 y 3))
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(exp.f64 (*.f64 (log.f64 y) 1))
(log1p.f64 (expm1.f64 y))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 1/2))) 1)
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(pow.f64 (cbrt.f64 (*.f64 y 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 y 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 y 2) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/2))))
(cbrt.f64 (pow.f64 (*.f64 y 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 y 1/2)))
(exp.f64 (log.f64 (*.f64 y 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 1/2)))

simplify104.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
644×cancel-sign-sub-inv
598×log-prod
572×times-frac
480×associate-+r+
452×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03445108
17444895
230404672
Stop Event
1×node limit
Counts
264 → 185
Calls
Call 1
Inputs
918938533204673/1000000000000000
(*.f64 y (-.f64 x 1/2))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (*.f64 -1/2 y))
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(-.f64 (exp.f64 (log1p.f64 y)) 1)
(*.f64 y 1)
(*.f64 1 y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(pow.f64 y 1)
(pow.f64 (cbrt.f64 y) 3)
(pow.f64 (pow.f64 y 3) 1/3)
(pow.f64 (sqrt.f64 y) 2)
(sqrt.f64 (pow.f64 y 2))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 1 (expm1.f64 y)))
(cbrt.f64 (pow.f64 y 3))
(expm1.f64 (log1p.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) 1))
(log1p.f64 (expm1.f64 y))
(+.f64 0 y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 (exp.f64 (log1p.f64 y)) 1)
(*.f64 y 1)
(*.f64 1 y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(pow.f64 y 1)
(pow.f64 (cbrt.f64 y) 3)
(pow.f64 (pow.f64 y 3) 1/3)
(pow.f64 (sqrt.f64 y) 2)
(sqrt.f64 (pow.f64 y 2))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 1 (expm1.f64 y)))
(cbrt.f64 (pow.f64 y 3))
(expm1.f64 (log1p.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) 1))
(log1p.f64 (expm1.f64 y))
(+.f64 0 (*.f64 y 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) y)) (cbrt.f64 (pow.f64 (exp.f64 1/2) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 1/2))) 1)
(pow.f64 (*.f64 y 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 y 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 y 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 y 2) 1/4))
(log.f64 (pow.f64 (exp.f64 1/2) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/2))))
(cbrt.f64 (pow.f64 (*.f64 y 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 y 1/2)))
(exp.f64 (log.f64 (*.f64 y 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 y 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 1/2)))
Outputs
918938533204673/1000000000000000
(*.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 918938533204673/1000000000000000 (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x y)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x y)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x y)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 x y)
(*.f64 y x)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x y)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x y)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x y)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 x y)
(*.f64 y x)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x y)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x y)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1/2 y) (*.f64 x y)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(*.f64 x y)
(*.f64 y x)
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (*.f64 -1/2 y) (*.f64 x y))
(*.f64 y (+.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))) 1)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))) (/.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(*.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(*.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (/.f64 1 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 1 (/.f64 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 1 (/.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 (*.f64 918938533204673/1000000000000000 y) (+.f64 x -1/2)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) (neg.f64 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (*.f64 y (+.f64 x -1/2)) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))) (neg.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (-.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2)) (-.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000))
(pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 1)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 3)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3) 1/3)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 2)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 2))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000))))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) 3))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)) 1))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)))
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (+.f64 x -1/2) y 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
(fma.f64 (*.f64 y (+.f64 x -1/2)) 1 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000)
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(/.f64 y (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (fma.f64 x 1/2 1/4)))
(/.f64 y (/.f64 (fma.f64 x x (fma.f64 x 1/2 1/4)) (+.f64 (pow.f64 x 3) -1/8)))
(*.f64 (/.f64 y (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(*.f64 (/.f64 y (+.f64 (*.f64 x (+.f64 x 1/2)) 1/4)) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) y))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(/.f64 y (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(*.f64 y (+.f64 x -1/2))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(*.f64 y (+.f64 x -1/2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x -1/2)))
(*.f64 y (+.f64 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(*.f64 y (+.f64 x -1/2))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(*.f64 y (+.f64 x -1/2))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1))
(*.f64 y (+.f64 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 x -1/2))
(fma.f64 y x (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(fma.f64 x y (*.f64 -1/2 y))
(*.f64 y (+.f64 x -1/2))
(+.f64 0 y)
y
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 (exp.f64 (log1p.f64 y)) 1)
y
(*.f64 y 1)
y
(*.f64 1 y)
y
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))
y
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))
y
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
y
(pow.f64 y 1)
y
(pow.f64 (cbrt.f64 y) 3)
y
(pow.f64 (pow.f64 y 3) 1/3)
y
(pow.f64 (sqrt.f64 y) 2)
y
(sqrt.f64 (pow.f64 y 2))
y
(log.f64 (exp.f64 y))
y
(log.f64 (+.f64 1 (expm1.f64 y)))
y
(cbrt.f64 (pow.f64 y 3))
y
(expm1.f64 (log1p.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 y) 1))
y
(log1p.f64 (expm1.f64 y))
y
(+.f64 0 y)
y
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 y)) (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 y)))) (log.f64 (cbrt.f64 (exp.f64 y))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 y))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 y))))
(-.f64 (exp.f64 (log1p.f64 y)) 1)
y
(*.f64 y 1)
y
(*.f64 1 y)
y
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))
y
(*.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))
y
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
y
(pow.f64 y 1)
y
(pow.f64 (cbrt.f64 y) 3)
y
(pow.f64 (pow.f64 y 3) 1/3)
y
(pow.f64 (sqrt.f64 y) 2)
y
(sqrt.f64 (pow.f64 y 2))
y
(log.f64 (exp.f64 y))
y
(log.f64 (+.f64 1 (expm1.f64 y)))
y
(cbrt.f64 (pow.f64 y 3))
y
(expm1.f64 (log1p.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 y) 1))
y
(log1p.f64 (expm1.f64 y))
y
(+.f64 0 (*.f64 y 1/2))
(*.f64 y 1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) y)) (cbrt.f64 (pow.f64 (exp.f64 1/2) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) y))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) y))))
(*.f64 y 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 1/2))) 1)
(*.f64 y 1/2)
(pow.f64 (*.f64 y 1/2) 1)
(*.f64 y 1/2)
(pow.f64 (cbrt.f64 (*.f64 y 1/2)) 3)
(*.f64 y 1/2)
(pow.f64 (pow.f64 (*.f64 y 1/2) 3) 1/3)
(*.f64 y 1/2)
(pow.f64 (sqrt.f64 (*.f64 y 1/2)) 2)
(*.f64 y 1/2)
(sqrt.f64 (*.f64 (pow.f64 y 2) 1/4))
(sqrt.f64 (*.f64 1/4 (pow.f64 y 2)))
(sqrt.f64 (pow.f64 (*.f64 y 1/2) 2))
(fabs.f64 (*.f64 y 1/2))
(log.f64 (pow.f64 (exp.f64 1/2) y))
(*.f64 y 1/2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/2))))
(*.f64 y 1/2)
(cbrt.f64 (pow.f64 (*.f64 y 1/2) 3))
(*.f64 y 1/2)
(expm1.f64 (log1p.f64 (*.f64 y 1/2)))
(*.f64 y 1/2)
(exp.f64 (log.f64 (*.f64 y 1/2)))
(*.f64 y 1/2)
(exp.f64 (*.f64 (log.f64 (*.f64 y 1/2)) 1))
(*.f64 y 1/2)
(log1p.f64 (expm1.f64 (*.f64 y 1/2)))
(*.f64 y 1/2)

eval143.0ms (2.3%)

Compiler

Compiled 6246 to 4043 computations (35.3% saved)

prune67.0ms (1.1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New6155620
Fresh000
Picked145
Done000
Total6169625
Accuracy
100.0%
Counts
625 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
▶76.2%
(-.f64 (*.f64 y (-.f64 x 1/2)) x)
▶49.6%
(-.f64 (*.f64 y x) x)
✓50.7%
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓51.0%
(-.f64 918938533204673/1000000000000000 x)
✓50.4%
(*.f64 y (-.f64 x 1/2))
▶28.6%
(*.f64 y -1/2)
▶23.8%
(*.f64 x y)
▶27.7%
(neg.f64 x)
Compiler

Compiled 90 to 63 computations (30% saved)

localize96.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (*.f64 y x) x)
✓100.0%
(*.f64 y x)
100.0%
y
100.0%
x
✓100.0%
(*.f64 y -1/2)
100.0%
y
✓100.0%
-1/2
✓100.0%
(*.f64 x y)
100.0%
y
100.0%
x
✓100.0%
(neg.f64 x)
100.0%
x
100.0%
y
100.0%
x
✓100.0%
1/2
100.0%
(*.f64 y (-.f64 x 1/2))
Rules
1020×fma-def
126×cancel-sign-sub-inv
92×distribute-rgt-in
80×distribute-lft-neg-in
74×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018157
131154
245154
378154
4136154
5218154
6449154
7878154
81082154
91188154
101196154
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 y (-.f64 x 1/2)) x)
(*.f64 y (-.f64 x 1/2))
y
(-.f64 x 1/2)
x
1/2
(neg.f64 x)
x
(*.f64 x y)
x
y
(*.f64 y -1/2)
y
-1/2
(-.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
Outputs
(-.f64 (*.f64 y (-.f64 x 1/2)) x)
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
y
(-.f64 x 1/2)
(+.f64 x -1/2)
x
1/2
(neg.f64 x)
x
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 y -1/2)
y
-1/2
(-.f64 (*.f64 y x) x)
(fma.f64 y x (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 y x)
y
x
Compiler

Compiled 44 to 20 computations (54.5% saved)

series3.0ms (0.1%)

Counts
7 → 72
Calls

24 calls:

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

rewrite126.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1262×prod-diff
1048×unpow-prod-down
618×log-prod
559×log1p-expm1-u
559×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01568
116360
2191760
Stop Event
1×node limit
Counts
7 → 316
Calls
Call 1
Inputs
1/2
(neg.f64 x)
(*.f64 x y)
-1/2
(*.f64 y -1/2)
(*.f64 y x)
(-.f64 (*.f64 y x) x)
Outputs
(+.f64 0 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 0 x)
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 x -1)
(*.f64 x (log.f64 (exp.f64 1)))
(*.f64 x (log.f64 (exp.f64 -1)))
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (neg.f64 (cbrt.f64 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sqrt.f64 x)) 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (pow.f64 (neg.f64 (sqrt.f64 x)) 1))
(*.f64 -1 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/3) x)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 x)) 3) (pow.f64 (cbrt.f64 (sqrt.f64 x)) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 -1 (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) x)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 2) (pow.f64 (sqrt.f64 (sqrt.f64 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(*.f64 (pow.f64 (pow.f64 x 3/2) 1/3) (pow.f64 (pow.f64 x 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 x 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (pow.f64 (cbrt.f64 x) 1/3))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 x 2) -1) 1/3) (cbrt.f64 x))
(/.f64 (-.f64 0 (pow.f64 x 3)) (+.f64 0 (fma.f64 x x (*.f64 0 x))))
(/.f64 (-.f64 0 (pow.f64 x 2)) x)
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 2) 1/2)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 x) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))
(log1p.f64 (expm1.f64 x))
(+.f64 0 (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) 1)
(pow.f64 (*.f64 x y) 1)
(pow.f64 (cbrt.f64 (*.f64 x y)) 3)
(pow.f64 (pow.f64 (*.f64 x y) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x y) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x y)) 2)
(sqrt.f64 (pow.f64 (*.f64 x y) 2))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) 3))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) 2))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(+.f64 0 (*.f64 y -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) y)) (cbrt.f64 (pow.f64 (exp.f64 -1/2) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y -1/2))) 1)
(pow.f64 (*.f64 y -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 y -1/2)) 3)
(pow.f64 (*.f64 (pow.f64 y 2) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 y 3) -1/8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 y 2) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/2))))
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 y -1/2)))
(exp.f64 (log.f64 (*.f64 y -1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 y -1/2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y -1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y -1/2))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y 3) -1/8)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 y -1/2)))
(+.f64 0 (*.f64 x y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) 1)
(pow.f64 (*.f64 x y) 1)
(pow.f64 (cbrt.f64 (*.f64 x y)) 3)
(pow.f64 (pow.f64 (*.f64 x y) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x y) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x y)) 2)
(sqrt.f64 (pow.f64 (*.f64 x y) 2))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) 3))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 3) 1/3))
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(+.f64 (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(+.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x))) (cbrt.f64 (exp.f64 (fma.f64 x y x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x y x)))))
(*.f64 x (+.f64 y -1))
(*.f64 x (+.f64 y 1))
(*.f64 x (pow.f64 (+.f64 y 1) 1))
(*.f64 x (pow.f64 (+.f64 y -1) 1))
(*.f64 (fma.f64 x y x) 1)
(*.f64 (fma.f64 x y x) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x y x))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y x))) 2))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) 1))
(*.f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 1 (fma.f64 x y x)))
(*.f64 (pow.f64 (fma.f64 x y x) 2) (pow.f64 (/.f64 1 (fma.f64 x y x)) 1))
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)))
(*.f64 (+.f64 y 1) x)
(*.f64 (pow.f64 1 1/3) (fma.f64 x y x))
(*.f64 (pow.f64 (+.f64 y 1) 1) x)
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 x)) 1) (pow.f64 (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y x))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y x))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) (cbrt.f64 (cbrt.f64 (fma.f64 x y x)))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 x y x) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x y x) (cbrt.f64 (fma.f64 x y x))) 2) 1/3) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 5/2) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x y x)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y x))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x y x))) 2))
(/.f64 1 (/.f64 1 (fma.f64 x y x)))
(/.f64 1 (/.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 x 2) (*.f64 y (pow.f64 x 2)))))
(/.f64 (pow.f64 (fma.f64 x y x) 2) (fma.f64 x y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y x) 2)) (neg.f64 (fma.f64 x y x)))
(pow.f64 (fma.f64 x y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(pow.f64 (pow.f64 (fma.f64 x y x) 2) 1/2)
(pow.f64 (/.f64 1 (fma.f64 x y x)) -1)
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(log.f64 (exp.f64 (fma.f64 x y x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y x))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 x) y)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x y))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(hypot.f64 (*.f64 x y) x)
(exp.f64 (log.f64 (fma.f64 x y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x y x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x y x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(fma.f64 x y x)
(fma.f64 x 1 (*.f64 x y))
(fma.f64 x -1 (*.f64 x y))
(fma.f64 x (+.f64 y -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 x (+.f64 y -1) (+.f64 x x))
(fma.f64 x (+.f64 y 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 x (+.f64 y 1) (+.f64 x x))
(fma.f64 y x x)
(fma.f64 (*.f64 x y) 1 x)
(fma.f64 (fma.f64 x y x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 x y x) 1 (+.f64 x x))
(fma.f64 1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) x)
(fma.f64 1 (fma.f64 x y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 1 (fma.f64 x y x) (+.f64 x x))
(fma.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (+.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)) (+.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) (+.f64 x x))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) (+.f64 x x))
(fma.f64 -1 x (*.f64 x y))
(fma.f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 1 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 1 (fma.f64 x y x)) (+.f64 x x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (+.f64 x x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (+.f64 y 1) x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 y 1) x (+.f64 x 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))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)

simplify157.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1638×fma-neg
1228×log-prod
890×exp-prod
788×associate-*r*
772×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06358036
114617515
252527385
Stop Event
1×node limit
Counts
388 → 350
Calls
Call 1
Inputs
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.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 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 (*.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))
(+.f64 0 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 0 x)
(-.f64 (exp.f64 (log1p.f64 x)) 1)
(*.f64 x 1)
(*.f64 x -1)
(*.f64 x (log.f64 (exp.f64 1)))
(*.f64 x (log.f64 (exp.f64 -1)))
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (neg.f64 (cbrt.f64 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sqrt.f64 x)) 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (pow.f64 (neg.f64 (sqrt.f64 x)) 1))
(*.f64 -1 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/3) x)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 x)) 3) (pow.f64 (cbrt.f64 (sqrt.f64 x)) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) 1) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) (+.f64 x x))
(fma.f64 -1 x (*.f64 x y))
(fma.f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 1 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 1 (fma.f64 x y x)) (+.f64 x x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (+.f64 x x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (+.f64 y 1) x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 y 1) x (+.f64 x 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))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
Outputs
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 -1/2 y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(*.f64 x y)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(*.f64 x y)
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 -1 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 -1 y))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 -1 y))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 -1 y))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 -1 y))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 -1 y))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 -1 y))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 -1 y))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 x (+.f64 -1 y))
(*.f64 -1 (*.f64 x (+.f64 1 (*.f64 -1 y))))
(*.f64 x (+.f64 -1 y))
(+.f64 0 x)
x
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) 2)
(-.f64 0 x)
(neg.f64 x)
(-.f64 (exp.f64 (log1p.f64 x)) 1)
x
(*.f64 x 1)
x
(*.f64 x -1)
(neg.f64 x)
(*.f64 x (log.f64 (exp.f64 1)))
x
(*.f64 x (log.f64 (exp.f64 -1)))
(neg.f64 x)
(*.f64 1 x)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (neg.f64 (cbrt.f64 x)) 1))
(neg.f64 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sqrt.f64 x)) 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 (sqrt.f64 x) (pow.f64 (neg.f64 (sqrt.f64 x)) 1))
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (pow.f64 1 1/3) x)
x
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 x)) 3) (pow.f64 (cbrt.f64 (sqrt.f64 x)) 3))
x
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))
x
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
x
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) 1) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (pow.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (pow.f64 (*.f64 -1 (sqrt.f64 x)) 1) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (pow.f64 (cbrt.f64 -1) 3) x)
(neg.f64 x)
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3))
x
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 2))
x
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) 2) (pow.f64 (sqrt.f64 (sqrt.f64 x)) 2))
x
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 (pow.f64 (pow.f64 x 3/2) 1/3) (pow.f64 (pow.f64 x 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 x 3/2)) (cbrt.f64 (pow.f64 x 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 x 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (pow.f64 x 3))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (pow.f64 (cbrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 4) 2)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 (sqrt.f64 x) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x 5/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x 2) -1) 1/3) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 -1 (pow.f64 x 2))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 (pow.f64 x 2))))
(/.f64 (-.f64 0 (pow.f64 x 3)) (+.f64 0 (fma.f64 x x (*.f64 0 x))))
(/.f64 (neg.f64 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 2))
(/.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 x 2))
(/.f64 (-.f64 0 (pow.f64 x 2)) x)
(/.f64 (neg.f64 (pow.f64 x 2)) x)
(neg.f64 (/.f64 (pow.f64 x 2) x))
(pow.f64 x 1)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (pow.f64 x 2) 1/2)
(sqrt.f64 (pow.f64 x 2))
(fabs.f64 x)
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (pow.f64 x 2))
(fabs.f64 x)
(log.f64 (exp.f64 x))
x
(log.f64 (+.f64 1 (expm1.f64 x)))
x
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 x))))
(neg.f64 x)
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 x) 1))
x
(exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 1))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
x
(exp.f64 (*.f64 (*.f64 (log.f64 x) 3) 1/3))
x
(exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))
x
(log1p.f64 (expm1.f64 x))
x
(+.f64 0 (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) 1)
(*.f64 x y)
(pow.f64 (*.f64 x y) 1)
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) 3)
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) 2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 x y) 2))
(fabs.f64 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 x y) 3) 1/3)
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) 2)
(*.f64 x y)
(sqrt.f64 (pow.f64 (*.f64 x y) 2))
(fabs.f64 (*.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 x y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) 3))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) 1))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 1) 1))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 3))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 3) 1/3))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x y))) 1/3))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) 2))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(+.f64 0 (*.f64 y -1/2))
(*.f64 -1/2 y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) y)) (cbrt.f64 (pow.f64 (exp.f64 -1/2) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) y))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y -1/2))) 1)
(*.f64 -1/2 y)
(pow.f64 (*.f64 y -1/2) 1)
(*.f64 -1/2 y)
(pow.f64 (cbrt.f64 (*.f64 y -1/2)) 3)
(*.f64 -1/2 y)
(pow.f64 (*.f64 (pow.f64 y 2) 1/4) 1/2)
(sqrt.f64 (*.f64 (pow.f64 y 2) 1/4))
(pow.f64 (*.f64 (pow.f64 y 3) -1/8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/8))
(pow.f64 (sqrt.f64 (*.f64 y -1/2)) 2)
(*.f64 -1/2 y)
(sqrt.f64 (*.f64 (pow.f64 y 2) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) y))
(*.f64 -1/2 y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/2))))
(*.f64 -1/2 y)
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 y -1/2)))
(*.f64 -1/2 y)
(exp.f64 (log.f64 (*.f64 y -1/2)))
(*.f64 -1/2 y)
(exp.f64 (*.f64 (log.f64 (*.f64 y -1/2)) 1))
(*.f64 -1/2 y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y -1/2)) 1) 1))
(*.f64 -1/2 y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y -1/2))) 3))
(*.f64 -1/2 y)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y 3) -1/8)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 y 3) -1/8))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y -1/2))) 2))
(*.f64 -1/2 y)
(log1p.f64 (expm1.f64 (*.f64 y -1/2)))
(*.f64 -1/2 y)
(+.f64 0 (*.f64 x y))
(*.f64 x y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) 1)
(*.f64 x y)
(pow.f64 (*.f64 x y) 1)
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) 3)
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) 2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 x y) 2))
(fabs.f64 (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 x y) 3) 1/3)
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) 2)
(*.f64 x y)
(sqrt.f64 (pow.f64 (*.f64 x y) 2))
(fabs.f64 (*.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 x y)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) 3))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) 1))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 1) 1))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x y))) 3))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) 3) 1/3))
(*.f64 x y)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x y))) 1/3))
(*.f64 x y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) 2))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(+.f64 x (*.f64 x y))
(fma.f64 x y x)
(+.f64 (*.f64 x y) x)
(fma.f64 x y x)
(+.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 x y x)
(+.f64 (fma.f64 x y x) (+.f64 x x))
(fma.f64 x (+.f64 y 1) (*.f64 2 x))
(*.f64 x (+.f64 (+.f64 y 1) 2))
(+.f64 (fma.f64 x y x) (fma.f64 -1 x x))
(fma.f64 x y x)
(+.f64 (fma.f64 x y x) (fma.f64 1 x x))
(fma.f64 x (+.f64 y 1) (*.f64 2 x))
(*.f64 x (+.f64 (+.f64 y 1) 2))
(+.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(fma.f64 x y x)
(+.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x) x))
(fma.f64 x (+.f64 y 1) (*.f64 2 x))
(*.f64 x (+.f64 (+.f64 y 1) 2))
(+.f64 (fma.f64 x y x) (fma.f64 x -1 x))
(fma.f64 x y x)
(+.f64 (fma.f64 x y x) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x))
(fma.f64 x (+.f64 y 1) (*.f64 2 x))
(*.f64 x (+.f64 (+.f64 y 1) 2))
(+.f64 0 (fma.f64 x y x))
(fma.f64 x y x)
(+.f64 (fma.f64 x y (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 x y x)
(+.f64 (fma.f64 x y (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 x y (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 x y (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(fma.f64 x y x)
(+.f64 (fma.f64 y x (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 x y x)
(+.f64 (fma.f64 y x (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 y x (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 y x (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (*.f64 x y) 1 (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 x y x)
(+.f64 (fma.f64 (*.f64 x y) 1 (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (*.f64 x y) 1 (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (*.f64 x y) 1 (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(fma.f64 x y x)
(+.f64 (fma.f64 1 (*.f64 x y) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 x y x)
(+.f64 (fma.f64 1 (*.f64 x y) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 1 (*.f64 x y) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 1 (*.f64 x y) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 x y x)
(+.f64 (fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 x y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 x y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (+.f64 x (neg.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x)
(fma.f64 x (pow.f64 (cbrt.f64 y) 3) x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (+.f64 x (neg.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x)
(fma.f64 x (pow.f64 (cbrt.f64 y) 3) x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (+.f64 x (neg.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x)
(fma.f64 x (pow.f64 (cbrt.f64 y) 3) x)
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(+.f64 (+.f64 x (neg.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x)
(fma.f64 x (pow.f64 (cbrt.f64 y) 3) x)
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 x y x)
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 x y x)
(+.f64 (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 x y x)
(+.f64 (fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 -1 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 -1 (sqrt.f64 x)))))
(fma.f64 x y x)
(+.f64 (fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (+.f64 x (neg.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x)
(fma.f64 x (pow.f64 (cbrt.f64 y) 3) x)
(+.f64 (fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (+.f64 x (neg.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x)
(fma.f64 x (pow.f64 (cbrt.f64 y) 3) x)
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(fma.f64 x (+.f64 y 1) (*.f64 2 x))
(*.f64 x (+.f64 (+.f64 y 1) 2))
(fma.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 x y x)
(fma.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (+.f64 x x))
(fma.f64 x (+.f64 y 1) (*.f64 2 x))
(*.f64 x (+.f64 (+.f64 y 1) 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)) (+.f64 x x))
(fma.f64 x (+.f64 y 1) (*.f64 2 x))
(*.f64 x (+.f64 (+.f64 y 1) 2))
(fma.f64 (cbrt.f64 (*.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) x)
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (cbrt.f64 (*.f64 x y)) x)
(fma.f64 x y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) x)
(+.f64 (+.f64 x (neg.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x)
(fma.f64 x (pow.f64 (cbrt.f64 y) 3) x)
(fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)) (+.f64 x x))
(fma.f64 x (+.f64 y 1) (*.f64 2 x))
(*.f64 x (+.f64 (+.f64 y 1) 2))
(fma.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)) x)
(fma.f64 x y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 x y x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 x y x)
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) (fma.f64 -1 x x))
(+.f64 0 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))))
(fma.f64 (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) (+.f64 x x))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))) (*.f64 2 x))
(+.f64 (*.f64 x 2) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (*.f64 x y) 2))))
(fma.f64 -1 x (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(fma.f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 1 (fma.f64 x y x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 x y x)
(fma.f64 (pow.f64 (fma.f64 x y x) 2) (/.f64 1 (fma.f64 x y x)) (+.f64 x x))
(fma.f64 x (+.f64 y 1) (*.f64 2 x))
(*.f64 x (+.f64 (+.f64 y 1) 2))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (fma.f64 -1 x x))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) 0)
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (+.f64 x x))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (*.f64 2 x))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x)) (*.f64 x 2))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(fma.f64 (+.f64 y 1) x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 x y x)
(fma.f64 (+.f64 y 1) x (+.f64 x x))
(fma.f64 x (+.f64 y 1) (*.f64 2 x))
(*.f64 x (+.f64 (+.f64 y 1) 2))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 -1 y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(+.f64 (+.f64 x (neg.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 x (cbrt.f64 y)) x)
(fma.f64 x (pow.f64 (cbrt.f64 y) 3) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 x y x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)
(fma.f64 x y x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 x y x)

eval239.0ms (3.8%)

Compiler

Compiled 12469 to 5760 computations (53.8% saved)

prune101.0ms (1.6%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New124011241
Fresh000
Picked055
Done044
Total1240101250
Accuracy
100.0%
Counts
1250 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
✓76.2%
(-.f64 (*.f64 y (-.f64 x 1/2)) x)
✓49.6%
(-.f64 (*.f64 y x) x)
✓50.7%
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓51.0%
(-.f64 918938533204673/1000000000000000 x)
✓50.4%
(*.f64 y (-.f64 x 1/2))
✓28.6%
(*.f64 y -1/2)
✓23.8%
(*.f64 x y)
✓27.7%
(neg.f64 x)
▶2.6%
x
Compiler

Compiled 63 to 45 computations (28.6% saved)

localize24.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
x
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
Stop Event
1×saturated
Calls
Call 1
Inputs
x
Outputs
x
Compiler

Compiled 4 to 3 computations (25% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

eval3.0ms (0%)

Compiler

Compiled 79 to 48 computations (39.2% saved)

prune12.0ms (0.2%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New19019
Fresh000
Picked011
Done099
Total191029
Accuracy
100.0%
Counts
29 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
✓76.2%
(-.f64 (*.f64 y (-.f64 x 1/2)) x)
✓49.6%
(-.f64 (*.f64 y x) x)
✓50.7%
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓51.0%
(-.f64 918938533204673/1000000000000000 x)
✓50.4%
(*.f64 y (-.f64 x 1/2))
✓28.6%
(*.f64 y -1/2)
✓23.8%
(*.f64 x y)
✓27.7%
(neg.f64 x)
✓2.6%
x
Compiler

Compiled 143 to 96 computations (32.9% saved)

regimes31.0ms (0.5%)

Counts
14 → 1
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 x y)
(*.f64 y -1/2)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 x (+.f64 y -1))
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y (-.f64 x 1/2)) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.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 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
Calls

4 calls:

8.0ms
x
8.0ms
y
7.0ms
(-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))
7.0ms
(+.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 918938533204673/1000000000000000)
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 30 to 22 computations (26.7% saved)

regimes35.0ms (0.6%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 x y)
(*.f64 y -1/2)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 x (+.f64 y -1))
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 y x) x)
(-.f64 (*.f64 y (-.f64 x 1/2)) x)
Outputs
(-.f64 (*.f64 y (-.f64 x 1/2)) x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (*.f64 y (-.f64 x 1/2)) x)
Calls

2 calls:

17.0ms
x
17.0ms
y
Results
AccuracySegmentsBranch
97.9%3x
99.3%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.3%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 x y)
(*.f64 y -1/2)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 x (+.f64 y -1))
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 y x) x)
Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
Calls

1 calls:

16.0ms
y
Results
AccuracySegmentsBranch
98.2%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes51.0ms (0.8%)

Counts
6 → 5
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 x y)
(*.f64 y -1/2)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 x (+.f64 y -1))
Outputs
(*.f64 x (+.f64 y -1))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y -1/2)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 x (+.f64 y -1))
Calls

2 calls:

28.0ms
y
22.0ms
x
Results
AccuracySegmentsBranch
82.3%5x
83.9%7y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes58.0ms (0.9%)

Counts
5 → 7
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 x y)
(*.f64 y -1/2)
(-.f64 918938533204673/1000000000000000 x)
Outputs
(*.f64 x y)
(*.f64 y -1/2)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y -1/2)
(*.f64 x y)
(*.f64 y -1/2)
(*.f64 x y)
Calls

2 calls:

30.0ms
x
27.0ms
y
Results
AccuracySegmentsBranch
83.9%7y
67.4%8x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes51.0ms (0.8%)

Counts
4 → 7
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 x y)
(*.f64 y -1/2)
Outputs
(*.f64 x y)
(*.f64 y -1/2)
(neg.f64 x)
(*.f64 y -1/2)
(*.f64 x y)
(*.f64 y -1/2)
(*.f64 x y)
Calls

2 calls:

27.0ms
x
23.0ms
y
Results
AccuracySegmentsBranch
59.3%8x
60.7%7y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.5%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(neg.f64 x)
(*.f64 x y)
Outputs
(*.f64 x y)
(neg.f64 x)
(*.f64 x y)
Calls

2 calls:

23.0ms
x
9.0ms
y
Results
AccuracySegmentsBranch
35.5%8x
48.4%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

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

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
27.7%1y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
2.6%1x
2.6%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch28.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
4.9724530076397736e-29
2.0374337243818505e-25
13.0ms
-2.5934802262730177e-6
-2.0692220707098944e-8
Results
25.0ms240×256valid
Compiler

Compiled 258 to 194 computations (24.8% saved)

bsearch33.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
6.655565714829733e-8
243.02811610941674
16.0ms
-55468.92421252194
-0.0010157481114823508
Results
30.0ms288×256valid
Compiler

Compiled 270 to 212 computations (21.5% saved)

bsearch111.0ms (1.8%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
64.0ms
23408849842461.6
1.1267908711627743e+29
14.0ms
4.8658031739304094e-163
6.77194797755712e-161
16.0ms
-1.1060083056758276e-61
-1.2109567416941435e-66
16.0ms
-110002.70018395066
-20.992549993462152
Results
104.0ms541×256valid
0.0ms3×256infinite
Compiler

Compiled 462 to 372 computations (19.5% saved)

bsearch78.0ms (1.2%)

Algorithm
6×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.846195185910128e+298
8.724462608469926e+302
11.0ms
4.0880351705648644e+279
2.952466231542558e+280
10.0ms
5.212627651406725e+181
1.8329406930060547e+182
16.0ms
6.655565714829733e-8
243.02811610941674
13.0ms
-6656988.969241953
-55468.92421252194
13.0ms
-1.419634442656285e+250
-3.3155083302019005e+248
Results
52.0ms494×256valid
19.0ms178×256infinite
Compiler

Compiled 522 to 408 computations (21.8% saved)

bsearch79.0ms (1.3%)

Algorithm
6×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.846195185910128e+298
8.724462608469926e+302
11.0ms
4.0880351705648644e+279
2.952466231542558e+280
10.0ms
5.212627651406725e+181
1.8329406930060547e+182
16.0ms
6.655565714829733e-8
243.02811610941674
13.0ms
-6656988.969241953
-55468.92421252194
13.0ms
-1.419634442656285e+250
-3.3155083302019005e+248
Results
54.0ms508×256valid
17.0ms164×256infinite
Compiler

Compiled 506 to 392 computations (22.5% saved)

bsearch33.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
6.655565714829733e-8
243.02811610941674
17.0ms
-55468.92421252194
-0.0010157481114823508
Results
29.0ms288×256valid
Compiler

Compiled 216 to 158 computations (26.9% saved)

simplify93.0ms (1.5%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
087631
1122625
2136625
3145617
4148617
5150617
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(if (<=.f64 y -3929008913747545/151115727451828646838272) (-.f64 (*.f64 y (-.f64 x 1/2)) x) (if (<=.f64 y 8711228593176025/43556142965880123323311949751266331066368) (-.f64 918938533204673/1000000000000000 x) (-.f64 (*.f64 y (-.f64 x 1/2)) x)))
(if (<=.f64 y -5/4) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 3152519739159347/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 x -102000) (*.f64 x (+.f64 y -1)) (if (<=.f64 x -7114265962740707/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 x 2406030145530361/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (*.f64 y -1/2) (if (<=.f64 x 24000000000000) (-.f64 918938533204673/1000000000000000 x) (*.f64 x (+.f64 y -1))))))
(if (<=.f64 y -610000000000000031357994506557266100735715898599016393897421655874689659934463843103417700186523182931706740974906352829606503621697968388326054981596691630989701190549925366714316121221187683003156377784552962524627265937119654347071009622549594112) (*.f64 x y) (if (<=.f64 y -56000) (*.f64 y -1/2) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 89999999999999999910991596667797240811360644375090110735162955148774059054695913766856605256304482746907836419913841478628639330014552489680595921533023707834051138232399870520459264) (*.f64 y -1/2) (if (<=.f64 y 17999999999999999783966946344372312004027661957612277041799626531202710680854878814107142307429005117959962686488111975060123391992728888979387873296960163862699969796398613411868089069926438817252675238417066128754952060337462235604280699729060254159336936788557799602911795216384) (*.f64 x y) (if (<=.f64 y 519999999999999997562137163150637273365073699178231557931040106878248097038795075490099971833745418399360020869972604856035636278527962890243587025190973475264549722433926902284254912624092327977143658996230078566658266253234429136283845288688072334039235763213267898034918039042663864694731911987200) (*.f64 y -1/2) (*.f64 x y)))))))
(if (<=.f64 y -1700000000000000064586932055955738216911247231138204876268718199379296370627347987807202547946151654851198223856833372744198342804249393988290059464664981680887996786173590354331837411359350667827850627827242574848376851340006315380361981226463002624) (*.f64 x y) (if (<=.f64 y -56000) (*.f64 y -1/2) (if (<=.f64 y 4165829655317709/2251799813685248) (neg.f64 x) (if (<=.f64 y 165000000000000004750831501210676910552018708682806988062539923523325916048461128684060237751335369523141873511585229613772785426333769277657374593025117204676794601645722736122658816) (*.f64 y -1/2) (if (<=.f64 y 8199999999999999543312283847038294815059253497679100823512995258554898787190396245272953047306810261733426437184707571004497975378170434513497157156919807307431742382793791544159093984092598163604779323275277110846716043164157326826805041237546191766772957695215178797010498093056) (*.f64 x y) (if (<=.f64 y 340000000000000010713937326076144183128819326457251424041341431308919432248523861850851113157411280758051601321630035749126583707096275753537220164211932976772464859023541569512602245342420555695290676895260935004179440717962099310100188139531424025002873074525260528107142821440655989980182521873170432) (*.f64 y -1/2) (*.f64 x y)))))))
(if (<=.f64 y -1) (*.f64 x y) (if (<=.f64 y 1) (neg.f64 x) (*.f64 x y)))
(neg.f64 x)
x
Outputs
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(if (<=.f64 y -3929008913747545/151115727451828646838272) (-.f64 (*.f64 y (-.f64 x 1/2)) x) (if (<=.f64 y 8711228593176025/43556142965880123323311949751266331066368) (-.f64 918938533204673/1000000000000000 x) (-.f64 (*.f64 y (-.f64 x 1/2)) x)))
(if (or (<=.f64 y -3929008913747545/151115727451828646838272) (not (<=.f64 y 8711228593176025/43556142965880123323311949751266331066368))) (-.f64 (*.f64 y (-.f64 x 1/2)) x) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 y -5/4) (*.f64 y (-.f64 x 1/2)) (if (<=.f64 y 3152519739159347/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -5/4) (not (<=.f64 y 3152519739159347/2251799813685248))) (*.f64 y (-.f64 x 1/2)) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 x -102000) (*.f64 x (+.f64 y -1)) (if (<=.f64 x -7114265962740707/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 x 2406030145530361/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816) (*.f64 y -1/2) (if (<=.f64 x 24000000000000) (-.f64 918938533204673/1000000000000000 x) (*.f64 x (+.f64 y -1))))))
(if (<=.f64 y -610000000000000031357994506557266100735715898599016393897421655874689659934463843103417700186523182931706740974906352829606503621697968388326054981596691630989701190549925366714316121221187683003156377784552962524627265937119654347071009622549594112) (*.f64 x y) (if (<=.f64 y -56000) (*.f64 y -1/2) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 89999999999999999910991596667797240811360644375090110735162955148774059054695913766856605256304482746907836419913841478628639330014552489680595921533023707834051138232399870520459264) (*.f64 y -1/2) (if (<=.f64 y 17999999999999999783966946344372312004027661957612277041799626531202710680854878814107142307429005117959962686488111975060123391992728888979387873296960163862699969796398613411868089069926438817252675238417066128754952060337462235604280699729060254159336936788557799602911795216384) (*.f64 x y) (if (<=.f64 y 519999999999999997562137163150637273365073699178231557931040106878248097038795075490099971833745418399360020869972604856035636278527962890243587025190973475264549722433926902284254912624092327977143658996230078566658266253234429136283845288688072334039235763213267898034918039042663864694731911987200) (*.f64 y -1/2) (*.f64 x y)))))))
(if (<=.f64 y -610000000000000031357994506557266100735715898599016393897421655874689659934463843103417700186523182931706740974906352829606503621697968388326054981596691630989701190549925366714316121221187683003156377784552962524627265937119654347071009622549594112) (*.f64 y x) (if (<=.f64 y -56000) (*.f64 y -1/2) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 89999999999999999910991596667797240811360644375090110735162955148774059054695913766856605256304482746907836419913841478628639330014552489680595921533023707834051138232399870520459264) (*.f64 y -1/2) (if (or (<=.f64 y 17999999999999999783966946344372312004027661957612277041799626531202710680854878814107142307429005117959962686488111975060123391992728888979387873296960163862699969796398613411868089069926438817252675238417066128754952060337462235604280699729060254159336936788557799602911795216384) (not (<=.f64 y 519999999999999997562137163150637273365073699178231557931040106878248097038795075490099971833745418399360020869972604856035636278527962890243587025190973475264549722433926902284254912624092327977143658996230078566658266253234429136283845288688072334039235763213267898034918039042663864694731911987200))) (*.f64 y x) (*.f64 y -1/2))))))
(if (<=.f64 y -610000000000000031357994506557266100735715898599016393897421655874689659934463843103417700186523182931706740974906352829606503621697968388326054981596691630989701190549925366714316121221187683003156377784552962524627265937119654347071009622549594112) (*.f64 y x) (if (<=.f64 y -56000) (*.f64 y -1/2) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (or (<=.f64 y 89999999999999999910991596667797240811360644375090110735162955148774059054695913766856605256304482746907836419913841478628639330014552489680595921533023707834051138232399870520459264) (not (or (<=.f64 y 17999999999999999783966946344372312004027661957612277041799626531202710680854878814107142307429005117959962686488111975060123391992728888979387873296960163862699969796398613411868089069926438817252675238417066128754952060337462235604280699729060254159336936788557799602911795216384) (not (<=.f64 y 519999999999999997562137163150637273365073699178231557931040106878248097038795075490099971833745418399360020869972604856035636278527962890243587025190973475264549722433926902284254912624092327977143658996230078566658266253234429136283845288688072334039235763213267898034918039042663864694731911987200))))) (*.f64 y -1/2) (*.f64 y x)))))
(if (<=.f64 y -610000000000000031357994506557266100735715898599016393897421655874689659934463843103417700186523182931706740974906352829606503621697968388326054981596691630989701190549925366714316121221187683003156377784552962524627265937119654347071009622549594112) (*.f64 y x) (if (<=.f64 y -56000) (*.f64 y -1/2) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (or (<=.f64 y 89999999999999999910991596667797240811360644375090110735162955148774059054695913766856605256304482746907836419913841478628639330014552489680595921533023707834051138232399870520459264) (and (not (<=.f64 y 17999999999999999783966946344372312004027661957612277041799626531202710680854878814107142307429005117959962686488111975060123391992728888979387873296960163862699969796398613411868089069926438817252675238417066128754952060337462235604280699729060254159336936788557799602911795216384)) (<=.f64 y 519999999999999997562137163150637273365073699178231557931040106878248097038795075490099971833745418399360020869972604856035636278527962890243587025190973475264549722433926902284254912624092327977143658996230078566658266253234429136283845288688072334039235763213267898034918039042663864694731911987200))) (*.f64 y -1/2) (*.f64 y x)))))
(if (<=.f64 y -1700000000000000064586932055955738216911247231138204876268718199379296370627347987807202547946151654851198223856833372744198342804249393988290059464664981680887996786173590354331837411359350667827850627827242574848376851340006315380361981226463002624) (*.f64 x y) (if (<=.f64 y -56000) (*.f64 y -1/2) (if (<=.f64 y 4165829655317709/2251799813685248) (neg.f64 x) (if (<=.f64 y 165000000000000004750831501210676910552018708682806988062539923523325916048461128684060237751335369523141873511585229613772785426333769277657374593025117204676794601645722736122658816) (*.f64 y -1/2) (if (<=.f64 y 8199999999999999543312283847038294815059253497679100823512995258554898787190396245272953047306810261733426437184707571004497975378170434513497157156919807307431742382793791544159093984092598163604779323275277110846716043164157326826805041237546191766772957695215178797010498093056) (*.f64 x y) (if (<=.f64 y 340000000000000010713937326076144183128819326457251424041341431308919432248523861850851113157411280758051601321630035749126583707096275753537220164211932976772464859023541569512602245342420555695290676895260935004179440717962099310100188139531424025002873074525260528107142821440655989980182521873170432) (*.f64 y -1/2) (*.f64 x y)))))))
(if (<=.f64 y -1700000000000000064586932055955738216911247231138204876268718199379296370627347987807202547946151654851198223856833372744198342804249393988290059464664981680887996786173590354331837411359350667827850627827242574848376851340006315380361981226463002624) (*.f64 y x) (if (<=.f64 y -56000) (*.f64 y -1/2) (if (<=.f64 y 4165829655317709/2251799813685248) (neg.f64 x) (if (<=.f64 y 165000000000000004750831501210676910552018708682806988062539923523325916048461128684060237751335369523141873511585229613772785426333769277657374593025117204676794601645722736122658816) (*.f64 y -1/2) (if (or (<=.f64 y 8199999999999999543312283847038294815059253497679100823512995258554898787190396245272953047306810261733426437184707571004497975378170434513497157156919807307431742382793791544159093984092598163604779323275277110846716043164157326826805041237546191766772957695215178797010498093056) (not (<=.f64 y 340000000000000010713937326076144183128819326457251424041341431308919432248523861850851113157411280758051601321630035749126583707096275753537220164211932976772464859023541569512602245342420555695290676895260935004179440717962099310100188139531424025002873074525260528107142821440655989980182521873170432))) (*.f64 y x) (*.f64 y -1/2))))))
(if (<=.f64 y -1700000000000000064586932055955738216911247231138204876268718199379296370627347987807202547946151654851198223856833372744198342804249393988290059464664981680887996786173590354331837411359350667827850627827242574848376851340006315380361981226463002624) (*.f64 y x) (if (<=.f64 y -56000) (*.f64 y -1/2) (if (<=.f64 y 4165829655317709/2251799813685248) (neg.f64 x) (if (or (<=.f64 y 165000000000000004750831501210676910552018708682806988062539923523325916048461128684060237751335369523141873511585229613772785426333769277657374593025117204676794601645722736122658816) (not (or (<=.f64 y 8199999999999999543312283847038294815059253497679100823512995258554898787190396245272953047306810261733426437184707571004497975378170434513497157156919807307431742382793791544159093984092598163604779323275277110846716043164157326826805041237546191766772957695215178797010498093056) (not (<=.f64 y 340000000000000010713937326076144183128819326457251424041341431308919432248523861850851113157411280758051601321630035749126583707096275753537220164211932976772464859023541569512602245342420555695290676895260935004179440717962099310100188139531424025002873074525260528107142821440655989980182521873170432))))) (*.f64 y -1/2) (*.f64 y x)))))
(if (<=.f64 y -1700000000000000064586932055955738216911247231138204876268718199379296370627347987807202547946151654851198223856833372744198342804249393988290059464664981680887996786173590354331837411359350667827850627827242574848376851340006315380361981226463002624) (*.f64 y x) (if (<=.f64 y -56000) (*.f64 y -1/2) (if (<=.f64 y 4165829655317709/2251799813685248) (neg.f64 x) (if (or (<=.f64 y 165000000000000004750831501210676910552018708682806988062539923523325916048461128684060237751335369523141873511585229613772785426333769277657374593025117204676794601645722736122658816) (and (not (<=.f64 y 8199999999999999543312283847038294815059253497679100823512995258554898787190396245272953047306810261733426437184707571004497975378170434513497157156919807307431742382793791544159093984092598163604779323275277110846716043164157326826805041237546191766772957695215178797010498093056)) (<=.f64 y 340000000000000010713937326076144183128819326457251424041341431308919432248523861850851113157411280758051601321630035749126583707096275753537220164211932976772464859023541569512602245342420555695290676895260935004179440717962099310100188139531424025002873074525260528107142821440655989980182521873170432))) (*.f64 y -1/2) (*.f64 y x)))))
(if (<=.f64 y -1) (*.f64 x y) (if (<=.f64 y 1) (neg.f64 x) (*.f64 x y)))
(if (or (<=.f64 y -1) (not (<=.f64 y 1))) (*.f64 y x) (neg.f64 x))
(neg.f64 x)
x
Compiler

Compiled 194 to 134 computations (30.9% saved)

soundness1.7s (26.8%)

Rules
5110×fma-def
1638×fma-neg
1328×times-frac
1262×prod-diff
1228×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033304
198264
2250236
3784224
42333224
53829224
64358224
74495224
84521224
94525224
104572224
114632224
124656224
134656210
146623210
156623210
166623210
03445108
17444895
230404672
01568
116360
2191760
06358036
114617515
252527385
03266952
18556372
238786162
03445108
17444895
230404672
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 356 to 224 computations (37.1% saved)

end0.0ms (0%)

preprocess131.0ms (2.1%)

Compiler

Compiled 382 to 248 computations (35.1% saved)

Profiling

Loading profile data...