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

analyze0.0ms (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)

sample900.0ms (26.8%)

Results

739.0ms	7291×	body	256	valid
150.0ms	965×	body	256	infinite

Bogosity

preprocess307.0ms (9.1%)

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	132
1	80	114
2	203	96
3	606	92
4	1734	86
5	3675	86
6	4448	86
7	4688	86
8	4738	86
9	4742	86
10	4744	86
11	4774	86
12	4774	84
13	6401	84
14	6401	84
15	6401	84

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.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 (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 15 to 12 computations (20% saved)

simplify64.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2372×	`fma-def`
326×	`cancel-sign-sub-inv`
288×	`fma-neg`
264×	`associate-+l-`
226×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	30	27
2	65	23
3	134	23
4	271	21
5	580	21
6	1129	21
7	1831	21
8	2628	21
9	2793	21
10	2820	21

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

eval1.0ms (0%)

Compiler: Compiled 51 to 36 computations (29.4% saved)

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	2	6

Accurracy

100.0%

Counts

6 → 2

Alt Table

Click to see full alt table

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

localize266.0ms (7.9%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 53 to 36 computations (32.1% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
0.0ms	x	@	inf	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
0.0ms	x	@	0	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
0.0ms	y	@	inf	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
0.0ms	x	@	-inf	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))

rewrite105.0ms (3.1%)

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

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

simplify174.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	7429
1	1038	6947
2	3200	6365

Stop Event

1×	node limit

Counts

245 → 265

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.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 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 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 -1 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.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)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 y -1)))) (exp.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 y -1)))) (/.f64 1 (exp.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (exp.f64 x) (+.f64 y -1))))
(log.f64 (.f64 (exp.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (+.f64 1 (expm1.f64 (.f64 x (+.f64 y -1))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (pow.f64 (exp.f64 x) (+.f64 y -1))))
(log.f64 (.f64 (/.f64 1 (exp.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))) (+.f64 1 (expm1.f64 (.f64 x (+.f64 y -1))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 y -1)) (+.f64 1 (expm1.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y -1)))) (exp.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 y -1)))) (+.f64 1 (expm1.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))))
(cbrt.f64 (pow.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 3))
(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)))))
(exp.f64 (.f64 (log.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 -1/2 y)))) 1))
(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))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))))) 1/3))
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(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)))
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(fma.f64 (+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 -1/2 y))) 1 (+.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 1 (*.f64 x (+.f64 y -1)) (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(fma.f64 1 (.f64 x (+.f64 y -1)) (.f64 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) 1))
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(fma.f64 1 (+.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 1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000)) (*.f64 x (+.f64 y -1)))
(fma.f64 1 (*.f64 x y) (-.f64 (neg.f64 x) (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(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)))
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(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)))
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(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 (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)))
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(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)))
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(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)))
(+.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))

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

eval98.0ms (2.9%)

Compiler: Compiled 5163 to 3469 computations (32.8% saved)

prune78.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	261	4	265
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	262	5	267

Accurracy

100.0%

Counts

267 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.1%	(-.f64 (*.f64 y x) x)
✓	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
▶	55.4%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶	53.6%	(-.f64 918938533204673/1000000000000000 x)
▶	48.0%	(*.f64 y (-.f64 x 1/2))
▶	46.1%	(-.f64 (*.f64 y x) x)
✓	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
▶	55.4%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶	53.6%	(-.f64 918938533204673/1000000000000000 x)
▶	48.0%	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 78 to 58 computations (25.6% saved)

localize77.0ms (2.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 y x) x)

Compiler

Compiled 40 to 22 computations (45% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (*.f64 y x) x)
0.0ms	x	@	-inf	(-.f64 (*.f64 y x) x)
0.0ms	x	@	0	(-.f64 (*.f64 y x) x)
0.0ms	y	@	inf	(-.f64 (*.f64 y x) x)
0.0ms	y	@	0	(-.f64 (*.f64 y x) x)

rewrite56.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`pow1`
1360×	`add-exp-log`
1360×	`log1p-expm1-u`
1360×	`expm1-log1p-u`
1332×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1839	13

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 (*.f64 y x) x)

Outputs
(+.f64 (*.f64 y x) (neg.f64 x))
(+.f64 (.f64 y x) (.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 y x))
(*.f64 x (-.f64 y 1))
(.f64 (-.f64 (.f64 y x) x) 1)
(.f64 1 (-.f64 (.f64 y x) x))
(.f64 (cbrt.f64 (-.f64 (.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)))
(.f64 (sqrt.f64 (-.f64 (.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)))
(.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 x (fma.f64 y x x)))))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(.f64 (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 y x) 2) (*.f64 x (fma.f64 y x x))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (fma.f64 y x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x))) (neg.f64 (fma.f64 y x x)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 y x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))
(pow.f64 (-.f64 (*.f64 y x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 y x) x)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 y x) x)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x)))
(fma.f64 y x (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(fma.f64 1 (*.f64 y x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (neg.f64 x))

simplify82.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1304×	`fma-neg`
1006×	`fma-def`
618×	`distribute-lft-neg-in`
498×	`distribute-rgt-neg-in`
438×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1226
1	275	1146
2	1013	1146
3	4638	1046

Stop Event

1×	node limit

Counts

62 → 54

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 (*.f64 y x) (neg.f64 x))
(+.f64 (.f64 y x) (.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (*.f64 y x))
(*.f64 x (-.f64 y 1))
(.f64 (-.f64 (.f64 y x) x) 1)
(.f64 1 (-.f64 (.f64 y x) x))
(.f64 (cbrt.f64 (-.f64 (.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)))
(.f64 (sqrt.f64 (-.f64 (.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)))
(.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 x (fma.f64 y x x)))))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(.f64 (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 y x) 2) (*.f64 x (fma.f64 y x x))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (fma.f64 y x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x))) (neg.f64 (fma.f64 y x x)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 y x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))
(pow.f64 (-.f64 (*.f64 y x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 y x) x)))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x)))
(exp.f64 (log.f64 (-.f64 (*.f64 y x) x)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x)))
(fma.f64 y x (neg.f64 x))
(fma.f64 x y (neg.f64 x))
(fma.f64 1 (*.f64 y x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (neg.f64 x))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 -1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (*.f64 y x) (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (.f64 y x) (.f64 (neg.f64 x) 1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (-.f64 (*.f64 y x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(+.f64 (neg.f64 x) (*.f64 y x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(*.f64 x (-.f64 y 1))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 (-.f64 (.f64 y x) x) 1)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 1 (-.f64 (.f64 y x) x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 (cbrt.f64 (-.f64 (.f64 y x) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 2))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 y x) x)) 2) (cbrt.f64 (-.f64 (*.f64 y x) x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 (sqrt.f64 (-.f64 (.f64 y x) x)) (sqrt.f64 (-.f64 (*.f64 y x) x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 x (fma.f64 y x x)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (.f64 y (*.f64 x (fma.f64 x y x)))))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (fma.f64 x y x))
(/.f64 (.f64 (.f64 x x) (-.f64 (*.f64 y y) 1)) (fma.f64 x y x))
(/.f64 (*.f64 x (+.f64 -1 y)) 1)
(.f64 (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 y x) 2) (.f64 x (fma.f64 y x x))) (-.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 1 (/.f64 (fma.f64 y x x) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (fma.f64 x y x))
(/.f64 (.f64 (.f64 x x) (-.f64 (*.f64 y y) 1)) (fma.f64 x y x))
(/.f64 (*.f64 x (+.f64 -1 y)) 1)
(/.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 y x) 2) (*.f64 x (fma.f64 y x x))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x)) (fma.f64 y x x))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (fma.f64 x y x))
(/.f64 (.f64 (.f64 x x) (-.f64 (*.f64 y y) 1)) (fma.f64 x y x))
(/.f64 (*.f64 x (+.f64 -1 y)) 1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) 2) (*.f64 x (fma.f64 y x x)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 x x))) (neg.f64 (fma.f64 y x x)))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (fma.f64 x y x))
(/.f64 (.f64 (.f64 x x) (-.f64 (*.f64 y y) 1)) (fma.f64 x y x))
(/.f64 (*.f64 x (+.f64 -1 y)) 1)
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (*.f64 y x) (neg.f64 x)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 x (fma.f64 y x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x y x) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) -1)) (fma.f64 x x (.f64 y (*.f64 x (fma.f64 x y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 y x) (neg.f64 x)))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y x x)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x x)) (fma.f64 x y x))
(/.f64 (.f64 (.f64 x x) (-.f64 (*.f64 y y) 1)) (fma.f64 x y x))
(/.f64 (*.f64 x (+.f64 -1 y)) 1)
(pow.f64 (-.f64 (*.f64 y x) x) 1)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 y x) x)) 3)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(pow.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3) 1/3)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 y x) x)) 2)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 2))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(log.f64 (exp.f64 (-.f64 (*.f64 y x) x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) x) 3))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 y x) x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(exp.f64 (log.f64 (-.f64 (*.f64 y x) x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 y x) x)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(fma.f64 y x (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(fma.f64 x y (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(fma.f64 1 (*.f64 y x) (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (neg.f64 x))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 -1 y))

eval10.0ms (0.3%)

Compiler: Compiled 617 to 232 computations (62.4% saved)

prune12.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	52	7	59

Accurracy

100.0%

Counts

59 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.1%	(-.f64 (*.f64 y x) x)
✓	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
✓	55.4%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	53.6%	(-.f64 918938533204673/1000000000000000 x)
✓	48.0%	(*.f64 y (-.f64 x 1/2))
▶	23.5%	(*.f64 y x)
▶	24.4%	(neg.f64 x)
✓	46.1%	(-.f64 (*.f64 y x) x)
✓	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
✓	55.4%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	53.6%	(-.f64 918938533204673/1000000000000000 x)
✓	48.0%	(*.f64 y (-.f64 x 1/2))
▶	23.5%	(*.f64 y x)
▶	24.4%	(neg.f64 x)

Compiler

Compiled 96 to 70 computations (27.1% saved)

localize21.0ms (0.6%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	5	5
Total	7	7

Accurracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.1%	(-.f64 (*.f64 y x) x)
✓	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
✓	55.4%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	53.6%	(-.f64 918938533204673/1000000000000000 x)
✓	48.0%	(*.f64 y (-.f64 x 1/2))
✓	23.5%	(*.f64 y x)
✓	24.4%	(neg.f64 x)

Compiler

Compiled 103 to 70 computations (32% saved)

regimes38.0ms (1.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
6.0ms	x
5.0ms	y
5.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))

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 85 to 57 computations (32.9% saved)

regimes79.0ms (2.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

51.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
16.0ms	x
5.0ms	y
5.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))

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 77 to 52 computations (32.5% saved)

regimes27.0ms (0.8%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
98.1%	3	`x`
98.1%	3	`y`

Compiler

Compiled 31 to 18 computations (41.9% saved)

regimes20.0ms (0.6%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
58.1%	3	`x`
73.8%	3	`y`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes29.0ms (0.9%)

Counts

2 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 y x)

Outputs
(*.f64 y x)
(neg.f64 x)
(*.f64 y x)

Calls

2 calls:

21.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
28.9%	3	`x`
44.8%	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

2 calls:

4.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
24.4%	1	`x`
24.4%	1	`y`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch76.0ms (2.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	9.492188278072622e-7	5992960174904.682
15.0ms	-37.05209733004915	-0.028722626042758954

Results

72.0ms

288×

body

256

valid

Compiler

Compiled 270 to 212 computations (21.5% saved)

bsearch34.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	9.492188278072622e-7	5992960174904.682
16.0ms	-47015013.74932084	-871.1001686287912

Results

30.0ms	285×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 234 to 176 computations (24.8% saved)

bsearch33.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	9.492188278072622e-7	5992960174904.682
16.0ms	-37.05209733004915	-0.028722626042758954

Results

30.0ms	287×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 216 to 158 computations (26.9% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	178
1	73	178
2	91	178
3	103	178
4	106	178

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(if (<=.f64 y -5854679515581645/4503599627370496) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 3152519739159347/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -900) (.f64 y x) (if (<=.f64 y 7/4) (-.f64 918938533204673/1000000000000000 x) (.f64 y x)))
(if (<=.f64 y -1) (.f64 y x) (if (<=.f64 y 1) (neg.f64 x) (.f64 y x)))
(neg.f64 x)

Outputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))
(if (<=.f64 y -5854679515581645/4503599627370496) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 3152519739159347/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -5854679515581645/4503599627370496) (not (<=.f64 y 3152519739159347/2251799813685248))) (*.f64 y (-.f64 x 1/2)) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 y -900) (.f64 y x) (if (<=.f64 y 7/4) (-.f64 918938533204673/1000000000000000 x) (.f64 y x)))
(if (<=.f64 y -1) (.f64 y x) (if (<=.f64 y 1) (neg.f64 x) (.f64 y x)))
(neg.f64 x)

Compiler

Compiled 83 to 55 computations (33.7% saved)

soundness679.0ms (20.2%)

Rules

2372×	`fma-def`
2372×	`fma-def`
1304×	`fma-neg`
1070×	`fma-neg`
1070×	`fma-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	30	27
2	65	23
3	134	23
4	271	21
5	580	21
6	1129	21
7	1831	21
8	2628	21
9	2793	21
10	2820	21
0	12	31
1	30	27
2	65	23
3	134	23
4	271	21
5	580	21
6	1129	21
7	1831	21
8	2628	21
9	2793	21
10	2820	21
0	431	7429
1	1038	6947
2	3200	6365
0	108	1226
1	275	1146
2	1013	1146
3	4638	1046
0	431	7429
1	1038	6947
2	3200	6365

Stop Event

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

Compiler

Compiled 402 to 284 computations (29.4% saved)

end0.0ms (0%)

preprocess68.0ms (2%)

Compiler: Compiled 172 to 106 computations (38.4% saved)

analyze0.0ms (0%)

sample900.0ms (26.8%)

preprocess307.0ms (9.1%)

simplify64.0ms (1.9%)

eval1.0ms (0%)

prune3.0ms (0.1%)

localize266.0ms (7.9%)

series4.0ms (0.1%)

rewrite105.0ms (3.1%)

simplify174.0ms (5.2%)

eval98.0ms (2.9%)

prune78.0ms (2.3%)

localize77.0ms (2.3%)

series2.0ms (0.1%)

rewrite56.0ms (1.7%)

simplify82.0ms (2.4%)

eval10.0ms (0.3%)

prune12.0ms (0.4%)

localize21.0ms (0.6%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes38.0ms (1.1%)

regimes79.0ms (2.3%)

regimes27.0ms (0.8%)

regimes20.0ms (0.6%)

regimes29.0ms (0.9%)

regimes7.0ms (0.2%)

bsearch76.0ms (2.3%)

bsearch34.0ms (1%)

bsearch33.0ms (1%)

simplify9.0ms (0.3%)

soundness679.0ms (20.2%)

end0.0ms (0%)

preprocess68.0ms (2%)

Profiling