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

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample1.7s (24.7%)

Results

1.4s	7266×	body	256	valid
200.0ms	990×	body	256	infinite

Bogosity

preprocess500.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

4146×	`fma-def`
1176×	`fma-neg`
746×	`sub-neg`
546×	`unsub-neg`
452×	`associate-+l-`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	28	163
1	80	141
2	203	119
3	606	115
4	1734	107
5	3675	107
6	4448	107
7	4688	107
8	4738	107
9	4742	107
10	4744	107
11	4774	107
12	4774	105
13	6401	105
14	6401	105
15	6401	105

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)
(+.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 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) 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 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) 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)))
(-.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y 1/2)))
(fma.f64 x (-.f64 1 y) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 -1/2 x) x))
(fma.f64 y (-.f64 -1/2 x) (+.f64 x 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 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 x 1/2) x))
(-.f64 (fma.f64 y (-.f64 1/2 x) 918938533204673/1000000000000000) x)
(+.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))
(fma.f64 x y (-.f64 918938533204673/1000000000000000 (fma.f64 x 1/2 y)))
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval1.0ms (0%)

Compiler: Compiled 48 to 33 computations (31.3% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
▶	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
▶	100.0%	(-.f64 (fma.f64 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)
▶	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))

Compiler

Compiled 46 to 34 computations (26.1% saved)

localize172.0ms (2.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
✓	100.0%	(*.f64 x (+.f64 y -1))

Compiler

Compiled 56 to 38 computations (32.1% saved)

series13.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(*.f64 x (+.f64 y -1))
2.0ms	x	@	0	(*.f64 x (+.f64 y -1))
1.0ms	x	@	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 x (+.f64 y -1))

rewrite197.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`fma-def`
1252×	`log-prod`
580×	`pow-exp`
504×	`expm1-udef`
500×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	283	40
2	3945	40

Stop Event

1×	node limit

Counts

2 → 197

Calls

Call 1

Inputs
(*.f64 x (+.f64 y -1))
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))

Outputs
(+.f64 (*.f64 x y) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x y))
(+.f64 0 (*.f64 x (+.f64 y -1)))
(+.f64 (.f64 (.f64 x y) 1) (*.f64 (neg.f64 x) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (fma.f64 (.f64 x y) (.f64 x y) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (.f64 y -1)))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1) (.f64 y -1)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y -1)))))
(log.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (.f64 x y))))
(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))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 y -1))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y -1)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 y -1)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 y -1))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y -1)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
(fma.f64 x y (neg.f64 x))
(fma.f64 x -1 (*.f64 x y))
(fma.f64 y x (neg.f64 x))
(fma.f64 -1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) (neg.f64 x))
(fma.f64 1 (neg.f64 x) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) (neg.f64 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) -1) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1) (.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 x))
(fma.f64 (.f64 x y) 1 (.f64 (neg.f64 x) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 x y))) (cbrt.f64 (.f64 x y)) (neg.f64 x))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (neg.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x y))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 y)) (neg.f64 x))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (sqrt.f64 x)) (neg.f64 x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (.f64 -1 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(+.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (.f64 x (+.f64 y -1)) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))
(+.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) (+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 x y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 918938533204673/1000000000000000)
(+.f64 0 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))))
(+.f64 (.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)) 1) 918938533204673/1000000000000000)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))))) (cbrt.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))))))
(.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))) 1)
(.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))))
(.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) 2) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))))
(.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (/.f64 1 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2)) (/.f64 1 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(.f64 (+.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 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (.f64 x (+.f64 y -1)) 2)) (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (.f64 x (+.f64 y -1)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2)) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))) (neg.f64 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (.f64 x (+.f64 y -1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2))) (neg.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (pow.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (-.f64 (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)) (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 918938533204673/1000000000000000))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (-.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 (fma.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)) (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)) -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 918938533204673/1000000000000000))
(pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 1)
(pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 3)
(pow.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (.f64 x (+.f64 y -1)) 2)) (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))) -1)
(pow.f64 (/.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))) -1)
(sqrt.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 2))
(log.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)) (/.f64 1 (exp.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
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(log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (exp.f64 x) (+.f64 y -1))))
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(expm1.f64 (log1p.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))))
(exp.f64 (log.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))))
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(exp.f64 (.f64 (.f64 (log.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))))) 3))
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(fma.f64 x (+.f64 y -1) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 x (+.f64 y -1) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
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(fma.f64 -1 (fma.f64 y 1/2 -918938533204673/1000000000000000) (*.f64 x (+.f64 y -1)))
(fma.f64 (+.f64 y -1) x (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (+.f64 y -1) x (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 x (+.f64 y -1)) 1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 x (+.f64 y -1)) 1 (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
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(fma.f64 1 (.f64 x (+.f64 y -1)) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
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(fma.f64 1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
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(fma.f64 1 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 918938533204673/1000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (*.f64 x (+.f64 y -1)))
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(fma.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) 2) (+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) 2) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) 2) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) 2) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (*.f64 (cbrt.f64 (+.f64 y -1)) x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y -1)) 2) (.f64 (cbrt.f64 (+.f64 y -1)) x) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (+.f64 y -1)) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (cbrt.f64 (.f64 x (+.f64 y -1))) (cbrt.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (cbrt.f64 (.f64 x (+.f64 y -1))) (cbrt.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2)) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2)) (cbrt.f64 (.f64 x (+.f64 y -1))) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (neg.f64 (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (*.f64 x (+.f64 y -1)))
(fma.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (+.f64 y -1)) (*.f64 (sqrt.f64 (+.f64 y -1)) x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (+.f64 y -1)) (.f64 (sqrt.f64 (+.f64 y -1)) x) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 y -1)) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (-.f64 (neg.f64 x) (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)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (sqrt.f64 (.f64 x (+.f64 y -1))) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
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(fma.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (/.f64 1 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (.f64 x (+.f64 y -1)) 2))) (+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.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))) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (-.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 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 1 918938533204673/1000000000000000)
(fma.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 x y))) (cbrt.f64 (.f64 x y)) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))) (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))) 918938533204673/1000000000000000)
(fma.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (cbrt.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (cbrt.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (.f64 x (+.f64 y -1)))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (*.f64 x (+.f64 y -1)))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.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))) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (+.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 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (sqrt.f64 (.f64 y 1/2))) (-.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (sqrt.f64 (.f64 y 1/2))) 918938533204673/1000000000000000)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2)) (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (.f64 (+.f64 y -1) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 (+.f64 y -1) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))

simplify125.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1070×	`fma-neg`
856×	`times-frac`
728×	`unswap-sqr`
644×	`cancel-sign-sub-inv`
420×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	7933
1	1015	6947
2	3153	6623

Stop Event

1×	node limit

Counts

245 → 261

Calls

Call 1

Inputs
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 x (-.f64 y 1))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(+.f64 (.f64 -1 x) (.f64 x y))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(*.f64 x (-.f64 y 1))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(*.f64 x (-.f64 y 1))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x))))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x))))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x))))))
(+.f64 (*.f64 x y) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x y))
(+.f64 0 (*.f64 x (+.f64 y -1)))
(+.f64 (.f64 (.f64 x y) 1) (*.f64 (neg.f64 x) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (fma.f64 (.f64 x y) (.f64 x y) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 x y) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (.f64 y -1)))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1) (.f64 y -1)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(pow.f64 (*.f64 x (+.f64 y -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y -1)))))
(log.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (.f64 x y))))
(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))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 y -1))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y -1)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 y -1)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 y -1))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y -1)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y -1))))
(fma.f64 x y (neg.f64 x))
(fma.f64 x -1 (*.f64 x y))
(fma.f64 y x (neg.f64 x))
(fma.f64 -1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) (neg.f64 x))
(fma.f64 1 (neg.f64 x) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) y) (neg.f64 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) -1) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1) (.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (neg.f64 x))
(fma.f64 (.f64 x y) 1 (.f64 (neg.f64 x) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 x y))) (cbrt.f64 (.f64 x y)) (neg.f64 x))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (neg.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 x y))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 y)) (neg.f64 x))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (sqrt.f64 x)) (neg.f64 x))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (neg.f64 x))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 x))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (neg.f64 x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (.f64 -1 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(+.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (.f64 x (+.f64 y -1)) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))
(+.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) (+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(+.f64 (*.f64 x y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 918938533204673/1000000000000000)
(+.f64 0 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))))
(+.f64 (.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)) 1) 918938533204673/1000000000000000)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))))) (cbrt.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))))))
(.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))) 1)
(.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))))
(.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) 2) (cbrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))))
(.f64 (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (sqrt.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (/.f64 1 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (*.f64 x (+.f64 y -1)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2)) (/.f64 1 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(.f64 (+.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 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (.f64 x (+.f64 y -1)) 2)) (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3)) (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (.f64 x (+.f64 y -1)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2)) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 3))) (neg.f64 (fma.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000)) (pow.f64 (.f64 x (+.f64 y -1)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y -1)) 2) (pow.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) 2))) (neg.f64 (fma.f64 x (+.f64 y -1) (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (pow.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 3)) (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (-.f64 (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (.f64 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)) 3) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)) (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 918938533204673/1000000000000000))))
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(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (*.f64 x (+.f64 y -1)))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.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))) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (+.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 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (sqrt.f64 (.f64 y 1/2))) (-.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (sqrt.f64 (.f64 y 1/2))) 918938533204673/1000000000000000)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2)) (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (.f64 (+.f64 y -1) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 (+.f64 y -1) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))

Outputs
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 x y))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 -1 x) (.f64 x y))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 -1 x) (.f64 x y))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x y)
(+.f64 (.f64 -1 x) (.f64 x y))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 -1 x) (.f64 x y))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 -1 x) (.f64 x y))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(*.f64 x y)
(+.f64 (.f64 -1 x) (.f64 x y))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 -1 x) (.f64 x y))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 -1 x) (.f64 x y))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 x (-.f64 y 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x))))))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x))))))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x))))))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 (*.f64 x y) (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(+.f64 (neg.f64 x) (*.f64 x y))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(+.f64 0 (*.f64 x (+.f64 y -1)))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(+.f64 (.f64 (.f64 x y) 1) (*.f64 (neg.f64 x) 1))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1))) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)))))
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) 1)
(fma.f64 x y (neg.f64 x))
(*.f64 x (+.f64 y -1))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (fma.f64 (.f64 x y) (.f64 x y) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 x y) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (neg.f64 x) 3)) (fma.f64 (.f64 x y) (.f64 x y) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (.f64 y (.f64 x y)) (fma.f64 x x (.f64 y (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (.f64 (.f64 y y) x) (.f64 x (fma.f64 x y x))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 x y) (.f64 x y) (neg.f64 (*.f64 x x))) (fma.f64 x y (neg.f64 (neg.f64 x))))
(/.f64 (.f64 x (.f64 x (fma.f64 y y -1))) (fma.f64 x y x))
(/.f64 (*.f64 x (+.f64 y -1)) 1)
(/.f64 (.f64 x (+.f64 -1 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1) (.f64 y -1)))
(/.f64 x (/.f64 (-.f64 (fma.f64 y y 1) (*.f64 y -1)) (+.f64 -1 (pow.f64 y 3))))
(/.f64 (+.f64 -1 (pow.f64 y 3)) (/.f64 (+.f64 y (fma.f64 y y 1)) x))
(*.f64 (/.f64 x (+.f64 y (fma.f64 y y 1))) (+.f64 -1 (pow.f64 y 3)))
(/.f64 (*.f64 x (fma.f64 y y -1)) (+.f64 y 1))
(/.f64 (fma.f64 y y -1) (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 (fma.f64 y y -1) (+.f64 y 1)) x)
(*.f64 (/.f64 x (+.f64 y 1)) (fma.f64 y y -1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 y 3)) x) (-.f64 (fma.f64 y y 1) (.f64 y -1)))
(/.f64 x (/.f64 (-.f64 (fma.f64 y y 1) (*.f64 y -1)) (+.f64 -1 (pow.f64 y 3))))
(/.f64 (+.f64 -1 (pow.f64 y 3)) (/.f64 (+.f64 y (fma.f64 y y 1)) x))
(*.f64 (/.f64 x (+.f64 y (fma.f64 y y 1))) (+.f64 -1 (pow.f64 y 3)))
(/.f64 (*.f64 (fma.f64 y y -1) x) (+.f64 y 1))
(/.f64 (fma.f64 y y -1) (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 (fma.f64 y y -1) (+.f64 y 1)) x)
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(fma.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 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x y (neg.f64 x)) 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)))
(fma.f64 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y)) 1 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 (.f64 x y))) (cbrt.f64 (.f64 x y)) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))) (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (cbrt.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))) (cbrt.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (.f64 x (+.f64 y -1)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y))) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (sqrt.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (*.f64 x (+.f64 y -1)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (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)) (*.f64 x (+.f64 y -1)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 y)) (.f64 (sqrt.f64 x) (sqrt.f64 y)) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 x)) (.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.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))) (fma.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.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))) (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 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.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 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (sqrt.f64 (.f64 y 1/2))) (-.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (sqrt.f64 (.f64 y 1/2))) 918938533204673/1000000000000000)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x y (neg.f64 x))) (sqrt.f64 (.f64 y 1/2))) (-.f64 (sqrt.f64 (fma.f64 x y (neg.f64 x))) (sqrt.f64 (.f64 y 1/2))) 918938533204673/1000000000000000)
(fma.f64 (+.f64 (sqrt.f64 (.f64 y 1/2)) (sqrt.f64 (.f64 x (+.f64 y -1)))) (-.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (sqrt.f64 (.f64 y 1/2))) 918938533204673/1000000000000000)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 2)) (cbrt.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 y -1)) 2)) (cbrt.f64 (+.f64 y -1)) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (.f64 x (sqrt.f64 (+.f64 y -1))) (sqrt.f64 (+.f64 y -1)) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (.f64 (+.f64 y -1) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (+.f64 y -1) (cbrt.f64 x)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(-.f64 (.f64 (+.f64 y -1) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (.f64 (+.f64 y -1) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (*.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (+.f64 y -1) (cbrt.f64 x)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(-.f64 (.f64 (+.f64 y -1) (.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(fma.f64 (+.f64 y -1) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (.f64 (+.f64 y -1) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 (.f64 y (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 y (cbrt.f64 x)) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 y (cbrt.f64 x)) (-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) x))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(+.f64 918938533204673/1000000000000000 (-.f64 (fma.f64 x y (neg.f64 x)) (*.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1/2) (neg.f64 x)))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))

eval106.0ms (1.6%)

Compiler: Compiled 5093 to 3472 computations (31.8% saved)

prune44.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	256	5	261
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	258	5	263

Accuracy

100.0%

Counts

263 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.8%	(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
▶	47.9%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶	52.1%	(-.f64 918938533204673/1000000000000000 x)
▶	100.0%	(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
▶	48.6%	(*.f64 y (-.f64 x 1/2))
▶	73.8%	(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
▶	47.9%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶	52.1%	(-.f64 918938533204673/1000000000000000 x)
▶	100.0%	(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
▶	48.6%	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 168 to 132 computations (21.4% saved)

localize137.0ms (2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 y (-.f64 x 1/2))
✓	100.0%	(-.f64 918938533204673/1000000000000000 x)
✓	100.0%	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 88 to 58 computations (34.1% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(*.f64 y (-.f64 x 1/2))
1.0ms	y	@	0	(*.f64 y (-.f64 x 1/2))
1.0ms	x	@	-inf	(*.f64 y (-.f64 x 1/2))
1.0ms	y	@	-inf	(*.f64 y (-.f64 x 1/2))
1.0ms	x	@	0	(*.f64 y (-.f64 x 1/2))

rewrite184.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`unpow-prod-down`
862×	`log-prod`
598×	`prod-exp`
550×	`pow-prod-down`
412×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	203	33
2	2568	33

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))

Outputs
(+.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.f64 (*.f64 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)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x -1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y (+.f64 x -1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (+.f64 x -1/2)))) 2))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (+.f64 x -1/2)) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1/2)) 1) (.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 x y (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 x) 1))
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(+.f64 0 (-.f64 918938533204673/1000000000000000 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x)))))
(+.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 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 1))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 x 918938533204673/1000000000000000)))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (pow.f64 (/.f64 1 (+.f64 x 918938533204673/1000000000000000)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 918938533204673/1000000000000000 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 2) 3) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x 918938533204673/1000000000000000) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (neg.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))) (neg.f64 (+.f64 x 918938533204673/1000000000000000)))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (neg.f64 x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 918938533204673/1000000000000000 (neg.f64 x)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (neg.f64 x) 2)) (-.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) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)
(pow.f64 (/.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 x 918938533204673/1000000000000000) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))
(log.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 x))))
(cbrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))
(expm1.f64 (log1p.f64 (-.f64 918938533204673/1000000000000000 x)))
(exp.f64 (log.f64 (-.f64 918938533204673/1000000000000000 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 918938533204673/1000000000000000 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 918938533204673/1000000000000000 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 918938533204673/1000000000000000 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) 2))
(log1p.f64 (expm1.f64 (-.f64 918938533204673/1000000000000000 x)))
(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 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) 918938533204673/1000000000000000)
(fma.f64 -1 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 (*.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.f64 (*.f64 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)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x -1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y (+.f64 x -1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (+.f64 x -1/2)))) 2))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (+.f64 x -1/2)) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1/2)) 1) (.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 x y (*.f64 -1/2 y))

simplify228.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

972×	`fma-def`
788×	`distribute-lft-in`
764×	`log-prod`
746×	`distribute-rgt-in`
710×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	239	2426
1	542	2252
2	1512	2246
3	6003	2218

Stop Event

1×	node limit

Counts

162 → 116

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 (.f64 -1/2 y) (.f64 x y))
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(+.f64 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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.f64 (*.f64 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)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x -1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y (+.f64 x -1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (+.f64 x -1/2)))) 2))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (+.f64 x -1/2)) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1/2)) 1) (.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 x y (*.f64 -1/2 y))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 x) 1))
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(+.f64 0 (-.f64 918938533204673/1000000000000000 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x)))))
(+.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 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 1))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 x 918938533204673/1000000000000000)))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (pow.f64 (/.f64 1 (+.f64 x 918938533204673/1000000000000000)) 1))
(*.f64 (pow.f64 1 1/3) (-.f64 918938533204673/1000000000000000 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 2) 3) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(*.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x 918938533204673/1000000000000000) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (neg.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))) (neg.f64 (+.f64 x 918938533204673/1000000000000000)))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (neg.f64 x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 918938533204673/1000000000000000 (neg.f64 x)))))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (neg.f64 x) 2)) (-.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) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)
(pow.f64 (/.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (+.f64 x 918938533204673/1000000000000000) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))
(log.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 x))))
(cbrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))
(expm1.f64 (log1p.f64 (-.f64 918938533204673/1000000000000000 x)))
(exp.f64 (log.f64 (-.f64 918938533204673/1000000000000000 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 918938533204673/1000000000000000 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 918938533204673/1000000000000000 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 918938533204673/1000000000000000 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) 2))
(log1p.f64 (expm1.f64 (-.f64 918938533204673/1000000000000000 x)))
(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 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) 918938533204673/1000000000000000)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) 918938533204673/1000000000000000)
(fma.f64 -1 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 (*.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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.f64 (*.f64 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)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x -1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y (+.f64 x -1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (+.f64 x -1/2)))) 2))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (+.f64 x -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (+.f64 x -1/2)) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1/2)) 1) (.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(fma.f64 y x (*.f64 y -1/2))
(fma.f64 x y (*.f64 -1/2 y))

Outputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 x y)
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 x y)
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
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 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 x y)
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(*.f64 x y)
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 x y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 y x) (.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 x y) (.f64 -1/2 y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(*.f64 y (+.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(*.f64 y (+.f64 -1/2 x))
(/.f64 (*.f64 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 (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.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 -1/4)) (+.f64 x 1/2))
(/.f64 y (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
(*.f64 (/.f64 y (+.f64 x 1/2)) (fma.f64 x x -1/4))
(*.f64 (fma.f64 x x -1/4) (/.f64 y (+.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 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 (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 y (/.f64 (fma.f64 x x (fma.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 y (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
(*.f64 (/.f64 y (+.f64 x 1/2)) (fma.f64 x x -1/4))
(*.f64 (fma.f64 x x -1/4) (/.f64 y (+.f64 x 1/2)))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 1/2)
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(*.f64 y (+.f64 -1/2 x))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(*.f64 y (+.f64 -1/2 x))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(*.f64 y (+.f64 -1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(*.f64 y (+.f64 -1/2 x))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(*.f64 y (+.f64 -1/2 x))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x -1/2))) 1))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2)))) 3))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y (+.f64 x -1/2)))) 1/3))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (+.f64 x -1/2)))) 2))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (+.f64 x -1/2)) 1)))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (+.f64 (log.f64 (+.f64 x -1/2)) (*.f64 (log.f64 y) 1)))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (log.f64 y)))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1/2)) 1) (.f64 (log.f64 y) 1)))
(*.f64 y (+.f64 -1/2 x))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 y x (*.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 x y (*.f64 -1/2 y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 x) 1))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 0 (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x)))))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 1))
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 x 918938533204673/1000000000000000)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x (neg.f64 x) 844448027808355901771309036929/1000000000000000000000000000000) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x x -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 -918938533204673/1000000000000000 x))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (pow.f64 (/.f64 1 (+.f64 x 918938533204673/1000000000000000)) 1))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 x 918938533204673/1000000000000000)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x (neg.f64 x) 844448027808355901771309036929/1000000000000000000000000000000) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x x -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 -918938533204673/1000000000000000 x))
(*.f64 (pow.f64 1 1/3) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 2) 3) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 3))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3)) 1/3))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (pow.f64 (.f64 (-.f64 918938533204673/1000000000000000 x) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 8)))
(*.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(/.f64 1 (/.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 1 (/.f64 (+.f64 x 918938533204673/1000000000000000) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 x 918938533204673/1000000000000000)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x (neg.f64 x) 844448027808355901771309036929/1000000000000000000000000000000) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x x -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 -918938533204673/1000000000000000 x))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 x 918938533204673/1000000000000000))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 x 918938533204673/1000000000000000)))
(/.f64 (fma.f64 x (neg.f64 x) 844448027808355901771309036929/1000000000000000000000000000000) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x x -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 -918938533204673/1000000000000000 x))
(/.f64 (neg.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (neg.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))) (neg.f64 (+.f64 x 918938533204673/1000000000000000)))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 x 918938533204673/1000000000000000)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x (neg.f64 x) 844448027808355901771309036929/1000000000000000000000000000000) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x x -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 -918938533204673/1000000000000000 x))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (neg.f64 x) 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 918938533204673/1000000000000000 (neg.f64 x)))))
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (pow.f64 (neg.f64 x) 2)) (-.f64 918938533204673/1000000000000000 (neg.f64 x)))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 x 918938533204673/1000000000000000)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x (neg.f64 x) 844448027808355901771309036929/1000000000000000000000000000000) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x x -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 -918938533204673/1000000000000000 x))
(pow.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(-.f64 918938533204673/1000000000000000 x)
(pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 3)
(-.f64 918938533204673/1000000000000000 x)
(pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2) 1/2)
(-.f64 918938533204673/1000000000000000 x)
(pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/3)
(-.f64 918938533204673/1000000000000000 x)
(pow.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)
(-.f64 918938533204673/1000000000000000 x)
(pow.f64 (/.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) -1)
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(pow.f64 (/.f64 (+.f64 x 918938533204673/1000000000000000) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))) -1)
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 x 918938533204673/1000000000000000)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x (neg.f64 x) 844448027808355901771309036929/1000000000000000000000000000000) (+.f64 x 918938533204673/1000000000000000))
(/.f64 (fma.f64 x x -844448027808355901771309036929/1000000000000000000000000000000) (-.f64 -918938533204673/1000000000000000 x))
(sqrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))
(-.f64 918938533204673/1000000000000000 x)
(log.f64 (exp.f64 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 918938533204673/1000000000000000 x))))
(-.f64 918938533204673/1000000000000000 x)
(cbrt.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3))
(-.f64 918938533204673/1000000000000000 x)
(expm1.f64 (log1p.f64 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(exp.f64 (log.f64 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(exp.f64 (*.f64 (log.f64 (-.f64 918938533204673/1000000000000000 x)) 1))
(-.f64 918938533204673/1000000000000000 x)
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 918938533204673/1000000000000000 x)) 1) 1))
(-.f64 918938533204673/1000000000000000 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) 3))
(-.f64 918938533204673/1000000000000000 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 918938533204673/1000000000000000 x))) 1/3))
(-.f64 918938533204673/1000000000000000 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) 2))
(-.f64 918938533204673/1000000000000000 x)
(log1p.f64 (expm1.f64 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(fma.f64 1 (neg.f64 x) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(fma.f64 -1 x 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 0 (*.f64 y (+.f64 x -1/2)))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 y x) (.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 x y) (.f64 -1/2 y))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1/2 x)) y))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))))
(*.f64 y (+.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(*.f64 y (+.f64 -1/2 x))
(/.f64 (*.f64 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 (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.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 -1/4)) (+.f64 x 1/2))
(/.f64 y (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
(*.f64 (/.f64 y (+.f64 x 1/2)) (fma.f64 x x -1/4))
(*.f64 (fma.f64 x x -1/4) (/.f64 y (+.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 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 (fma.f64 x 1/2 1/4))) (+.f64 (pow.f64 x 3) -1/8))
(/.f64 y (/.f64 (fma.f64 x x (fma.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 y (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
(*.f64 (/.f64 y (+.f64 x 1/2)) (fma.f64 x x -1/4))
(*.f64 (fma.f64 x x -1/4) (/.f64 y (+.f64 x 1/2)))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2) 1/2)
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3) 1/3)
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(*.f64 y (+.f64 -1/2 x))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(*.f64 y (+.f64 -1/2 x))
(log.f64 (pow.f64 (exp.f64 (+.f64 x -1/2)) y))
(*.f64 y (+.f64 -1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 x -1/2)))))
(*.f64 y (+.f64 -1/2 x))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(*.f64 y (+.f64 -1/2 x))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (log.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x -1/2))) 1))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (+.f64 x -1/2))) 1) 1))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (+.f64 x -1/2)))) 3))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y (+.f64 x -1/2)))) 1/3))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (+.f64 x -1/2)))) 2))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (+.f64 x -1/2)) 1)))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (+.f64 x -1/2)) 1)))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (+.f64 (log.f64 (+.f64 x -1/2)) (*.f64 (log.f64 y) 1)))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1/2)) 1) (log.f64 y)))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1/2)) 1) (.f64 (log.f64 y) 1)))
(*.f64 y (+.f64 -1/2 x))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x -1/2))))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 y x (*.f64 y -1/2))
(*.f64 y (+.f64 -1/2 x))
(fma.f64 x y (*.f64 -1/2 y))
(*.f64 y (+.f64 -1/2 x))

eval91.0ms (1.3%)

Compiler: Compiled 1821 to 1350 computations (25.9% saved)

prune33.0ms (0.5%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	159	5	164
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	159	10	169

Accuracy

100.0%

Counts

169 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.8%	(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
✓	47.9%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	52.1%	(-.f64 918938533204673/1000000000000000 x)
✓	100.0%	(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
▶	77.9%	(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y x)))
✓	48.6%	(*.f64 y (-.f64 x 1/2))
▶	27.6%	(*.f64 y x)
▶	23.5%	(*.f64 -1/2 y)
▶	28.5%	(neg.f64 x)
	26.0%	918938533204673/1000000000000000
✓	73.8%	(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
✓	47.9%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	52.1%	(-.f64 918938533204673/1000000000000000 x)
✓	100.0%	(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
▶	77.9%	(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y x)))
✓	48.6%	(*.f64 y (-.f64 x 1/2))
▶	27.6%	(*.f64 y x)
▶	23.5%	(*.f64 -1/2 y)
▶	28.5%	(neg.f64 x)
	26.0%	918938533204673/1000000000000000

Compiler

Compiled 140 to 108 computations (22.9% saved)

localize153.0ms (2.2%)

Compiler: Compiled 42 to 20 computations (52.4% saved)

eval1.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune32.0ms (0.5%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	4	4
Done	5	5
Total	10	10

Accuracy

100.0%

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.8%	(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
✓	47.9%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	52.1%	(-.f64 918938533204673/1000000000000000 x)
✓	100.0%	(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
✓	77.9%	(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y x)))
✓	48.6%	(*.f64 y (-.f64 x 1/2))
✓	27.6%	(*.f64 y x)
✓	23.5%	(*.f64 -1/2 y)
✓	28.5%	(neg.f64 x)
	26.0%	918938533204673/1000000000000000
✓	73.8%	(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
✓	47.9%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	52.1%	(-.f64 918938533204673/1000000000000000 x)
✓	100.0%	(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
✓	77.9%	(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y x)))
✓	48.6%	(*.f64 y (-.f64 x 1/2))
✓	27.6%	(*.f64 y x)
✓	23.5%	(*.f64 -1/2 y)
✓	28.5%	(neg.f64 x)
	26.0%	918938533204673/1000000000000000

Compiler

Compiled 140 to 108 computations (22.9% saved)

localize0.0ms (0%)

eval1.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune30.0ms (0.4%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	9	9
Total	10	10

Accuracy

100.0%

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.8%	(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
✓	47.9%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	52.1%	(-.f64 918938533204673/1000000000000000 x)
✓	100.0%	(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
✓	77.9%	(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y x)))
✓	48.6%	(*.f64 y (-.f64 x 1/2))
✓	27.6%	(*.f64 y x)
✓	23.5%	(*.f64 -1/2 y)
✓	28.5%	(neg.f64 x)
	26.0%	918938533204673/1000000000000000

Compiler

Compiled 152 to 109 computations (28.3% saved)

regimes124.0ms (1.8%)

Counts

13 → 1

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.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 y (-.f64 x 1/2) 918938533204673/1000000000000000) x)

Outputs
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))

Calls

4 calls:

29.0ms	y
29.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
28.0ms	x
27.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
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 112 to 77 computations (31.3% saved)

regimes143.0ms (2.1%)

Counts

9 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y x)))

Outputs

(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y x)))

(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))

(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 -1 x) (*.f64 y x)))

Calls

2 calls:

69.0ms	y
67.0ms	x

Results

Accuracy	Segments	Branch
99.4%	3	`x`
98.3%	3	`y`

Compiler

Compiled 47 to 30 computations (36.2% saved)

regimes234.0ms (3.4%)

Counts

8 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))

Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(*.f64 y (-.f64 x 1/2))

Calls

2 calls:

165.0ms	x
63.0ms	y

Results

Accuracy	Segments	Branch
98.2%	3	`y`
82.3%	8	`x`

Compiler

Compiled 38 to 25 computations (34.2% saved)

regimes65.0ms (1%)

Counts

7 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))

Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))

Calls

1 calls:

60.0ms

Results

Accuracy	Segments	Branch
97.0%	3	`y`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes57.0ms (0.8%)

Counts

5 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)

Outputs
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y x)

Calls

1 calls:

52.0ms

Results

Accuracy	Segments	Branch
76.1%	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes133.0ms (1.9%)

Counts

4 → 7

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)

Outputs
(*.f64 y x)
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 y x)

Calls

2 calls:

78.0ms	y
52.0ms	x

Results

Accuracy	Segments	Branch
65.3%	14	`x`
58.9%	7	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes25.0ms (0.4%)

Counts

3 → 7

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)

Outputs
(*.f64 -1/2 y)
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
55.0%	7	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes25.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)

Outputs
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)

Calls

2 calls:

15.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
51.6%	3	`x`
34.6%	5	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
918938533204673/1000000000000000

Outputs
918938533204673/1000000000000000

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
26.0%	1	`y`
26.0%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch50.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	4.5449089166740556e-14	5962.702532163576
16.0ms	-2.671278357101053	-1.1833211799544086e-5

Results

42.0ms	303×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 455 to 356 computations (21.8% saved)

bsearch78.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	6.696287742951179	53735563190932430.0
29.0ms	-41128957.94632773	-2693046.010349501

Results

68.0ms	254×	body	256	valid
1.0ms	2×	body	256	infinite

Compiler

Compiled 322 to 254 computations (21.1% saved)

bsearch88.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	0.0010346293926661383	1.9982076110385836
49.0ms	-128.68430374969674	-7.334917357568265e-13

Results

79.0ms

288×

body

256

valid

Compiler

Compiled 270 to 212 computations (21.5% saved)

bsearch69.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	0.0010346293926661383	1.9982076110385836
29.0ms	-41128957.94632773	-2693046.010349501

Results

61.0ms

224×

body

256

valid

Compiler

Compiled 186 to 140 computations (24.7% saved)

bsearch253.0ms (3.7%)

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

Time	Left	Right
44.0ms	0.0010346293926661383	1.9982076110385836
18.0ms	2.063654803153322e-258	3.0668853862161596e-258
41.0ms	-3.1687881700378645e-286	-5.782067876780478e-291
47.0ms	-8.346992550805593e-200	-5.145803396736023e-210
48.0ms	-2.1707368013409493e-72	-5.835448474958599e-78
55.0ms	-128.68430374969674	-7.334917357568265e-13

Results

229.0ms

768×

body

256

valid

Compiler

Compiled 486 to 398 computations (18.1% saved)

bsearch218.0ms (3.2%)

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

Time	Left	Right
36.0ms	0.0010346293926661383	1.9982076110385836
13.0ms	2.063654803153322e-258	3.0668853862161596e-258
40.0ms	-3.1687881700378645e-286	-5.782067876780478e-291
51.0ms	-8.346992550805593e-200	-5.145803396736023e-210
45.0ms	-2.1707368013409493e-72	-5.835448474958599e-78
32.0ms	-24415.882763235124	-128.68430374969674

Results

193.0ms

720×

body

256

valid

Compiler

Compiled 453 to 389 computations (14.1% saved)

bsearch33.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5962.702532163576	80347188603511.23
15.0ms	-2.671278357101053	-1.1833211799544086e-5

Results

29.0ms	300×	body	256	valid
0.0ms	4×	body	256	infinite

Compiler

Compiled 189 to 166 computations (12.2% saved)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative`
24×	`sub-neg`
22×	`*-commutative`
18×	`neg-mul-1`
18×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	445
1	125	437
2	143	437
3	169	429
4	183	429
5	188	429
6	190	429

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 x -1/2) (+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y x))) (if (<=.f64 x 1/2) (-.f64 (neg.f64 x) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (*.f64 y x)))))
(if (<=.f64 y -34000000) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 13000000) (-.f64 (neg.f64 x) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -5494391545392005/4503599627370496) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 6980579422424269/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -2800000) (.f64 y x) (if (<=.f64 y 3602879701896397/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 y x)))
(if (<=.f64 y -1) (.f64 y x) (if (<=.f64 y -6355552246163597/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (neg.f64 x) (if (<=.f64 y -402421989115921/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456) 918938533204673/1000000000000000 (if (<=.f64 y -5486124068793689/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048) (neg.f64 x) (if (<=.f64 y 1352433999707303/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) 918938533204673/1000000000000000 (if (<=.f64 y 1) (neg.f64 x) (.f64 y x)))))))
(if (<=.f64 y -130) (.f64 -1/2 y) (if (<=.f64 y -5997033914328727/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (neg.f64 x) (if (<=.f64 y -8819960395837505/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) 918938533204673/1000000000000000 (if (<=.f64 y -8229186103190533/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (neg.f64 x) (if (<=.f64 y 1352433999707303/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) 918938533204673/1000000000000000 (if (<=.f64 y 5/4) (neg.f64 x) (.f64 -1/2 y)))))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x 6000) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Outputs
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (*.f64 y (-.f64 x 1/2)) (neg.f64 x)))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (-.f64 x 1/2)) x))
(if (<=.f64 x -1/2) (+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y x))) (if (<=.f64 x 1/2) (-.f64 (neg.f64 x) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (*.f64 y x)))))
(if (or (<=.f64 x -1/2) (not (<=.f64 x 1/2))) (+.f64 918938533204673/1000000000000000 (+.f64 (.f64 x y) (neg.f64 x))) (-.f64 (neg.f64 x) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)))
(if (or (<=.f64 x -1/2) (not (<=.f64 x 1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 x y) x)) (-.f64 (neg.f64 x) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)))
(if (or (<=.f64 x -1/2) (not (<=.f64 x 1/2))) (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 x y) x)) (-.f64 (-.f64 918938533204673/1000000000000000 (.f64 y 1/2)) x))
(if (<=.f64 y -34000000) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 13000000) (-.f64 (neg.f64 x) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (*.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -34000000) (not (<=.f64 y 13000000))) (.f64 y (-.f64 x 1/2)) (-.f64 (neg.f64 x) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)))
(if (or (<=.f64 y -34000000) (not (<=.f64 y 13000000))) (.f64 y (-.f64 x 1/2)) (-.f64 (-.f64 918938533204673/1000000000000000 (.f64 y 1/2)) x))
(if (<=.f64 y -5494391545392005/4503599627370496) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 6980579422424269/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -5494391545392005/4503599627370496) (not (<=.f64 y 6980579422424269/4503599627370496))) (*.f64 y (-.f64 x 1/2)) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 y -2800000) (.f64 y x) (if (<=.f64 y 3602879701896397/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 y x)))
(if (<=.f64 y -2800000) (.f64 x y) (if (<=.f64 y 3602879701896397/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 x y)))
(if (<=.f64 y -1) (.f64 y x) (if (<=.f64 y -6355552246163597/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (neg.f64 x) (if (<=.f64 y -402421989115921/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456) 918938533204673/1000000000000000 (if (<=.f64 y -5486124068793689/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048) (neg.f64 x) (if (<=.f64 y 1352433999707303/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) 918938533204673/1000000000000000 (if (<=.f64 y 1) (neg.f64 x) (.f64 y x)))))))
(if (<=.f64 y -1) (.f64 x y) (if (<=.f64 y -6355552246163597/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504) (neg.f64 x) (if (<=.f64 y -402421989115921/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456) 918938533204673/1000000000000000 (if (<=.f64 y -5486124068793689/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048) (neg.f64 x) (if (<=.f64 y 1352433999707303/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) 918938533204673/1000000000000000 (if (<=.f64 y 1) (neg.f64 x) (.f64 x y)))))))
(if (<=.f64 y -130) (.f64 -1/2 y) (if (<=.f64 y -5997033914328727/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (neg.f64 x) (if (<=.f64 y -8819960395837505/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) 918938533204673/1000000000000000 (if (<=.f64 y -8229186103190533/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (neg.f64 x) (if (<=.f64 y 1352433999707303/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) 918938533204673/1000000000000000 (if (<=.f64 y 5/4) (neg.f64 x) (.f64 -1/2 y)))))))
(if (<=.f64 y -130) (.f64 y -1/2) (if (<=.f64 y -5997033914328727/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (neg.f64 x) (if (<=.f64 y -8819960395837505/722947573429303679218971863604384733017946601434003846318950894300849620572466815975903723774778879224549853567560703123999563997664868082592397590652658203246283799419575326866593810558132103097281884026581639773628137472) 918938533204673/1000000000000000 (if (<=.f64 y -8229186103190533/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (neg.f64 x) (if (<=.f64 y 1352433999707303/540973599882921212264795939754513005075299661860988438659031766043314076218086256101803270028960960404146580473095299767175523900930749990144551913946050126754187964414981206188781074100660675638296814498008256925847580971777599220570518424337445351925287506839283710296064) 918938533204673/1000000000000000 (if (<=.f64 y 5/4) (neg.f64 x) (.f64 y -1/2)))))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x 6000) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Compiler

Compiled 195 to 132 computations (32.3% saved)

soundness1.4s (19.9%)

Rules

4146×	`fma-def`
1176×	`fma-neg`
1070×	`fma-neg`
1070×	`fma-neg`
972×	`fma-def`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	28	163
1	80	141
2	203	119
3	606	115
4	1734	107
5	3675	107
6	4448	107
7	4688	107
8	4738	107
9	4742	107
10	4744	107
11	4774	107
12	4774	105
13	6401	105
14	6401	105
15	6401	105
0	426	7933
1	1015	6947
2	3153	6623
0	239	2426
1	542	2252
2	1512	2246
3	6003	2218
0	239	2426
1	542	2252
2	1512	2246
3	6003	2218
0	426	7933
1	1015	6947
2	3153	6623

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 95 to 70 computations (26.3% saved)

end0.0ms (0%)

preprocess96.0ms (1.4%)

Compiler: Compiled 384 to 244 computations (36.5% saved)

analyze1.0ms (0%)

sample1.7s (24.7%)

preprocess500.0ms (7.3%)

eval1.0ms (0%)

prune3.0ms (0%)

localize172.0ms (2.5%)

series13.0ms (0.2%)

rewrite197.0ms (2.9%)

simplify125.0ms (1.8%)

eval106.0ms (1.6%)

prune44.0ms (0.6%)

localize137.0ms (2%)

series7.0ms (0.1%)

rewrite184.0ms (2.7%)

simplify228.0ms (3.3%)

eval91.0ms (1.3%)

prune33.0ms (0.5%)

localize153.0ms (2.2%)

eval1.0ms (0%)

prune32.0ms (0.5%)

localize0.0ms (0%)

eval1.0ms (0%)

prune30.0ms (0.4%)

regimes124.0ms (1.8%)

regimes143.0ms (2.1%)

regimes234.0ms (3.4%)

regimes65.0ms (1%)

regimes57.0ms (0.8%)

regimes133.0ms (1.9%)

regimes25.0ms (0.4%)

regimes25.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch50.0ms (0.7%)

bsearch78.0ms (1.1%)

bsearch88.0ms (1.3%)

bsearch69.0ms (1%)

bsearch253.0ms (3.7%)

bsearch218.0ms (3.2%)

bsearch33.0ms (0.5%)

simplify23.0ms (0.3%)

soundness1.4s (19.9%)

end0.0ms (0%)

preprocess96.0ms (1.4%)

Profiling