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)

sample806.0ms (46.1%)

Results

673.0ms	7206×	body	256	valid
117.0ms	1050×	body	256	infinite

Bogosity

preprocess304.0ms (17.4%)

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)

simplify66.0ms (3.8%)

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 (0.1%)

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

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

100.0%

Counts

6 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize40.0ms (2.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(*.f64 x (+.f64 y -1))
0.0ms	x	@	-inf	(*.f64 x (+.f64 y -1))
0.0ms	x	@	inf	(*.f64 x (+.f64 y -1))
0.0ms	x	@	0	(*.f64 x (+.f64 y -1))
0.0ms	y	@	inf	(*.f64 x (+.f64 y -1))

rewrite64.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`pow1`
1474×	`add-exp-log`
1474×	`log1p-expm1-u`
1474×	`expm1-log1p-u`
1448×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	153	13
2	1986	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(*.f64 x (+.f64 y -1))

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

simplify53.0ms (3%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-neg`
846×	`div-sub`
634×	`distribute-lft-neg-out`
562×	`fma-def`
554×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	710
1	218	688
2	795	676
3	3451	674

Stop Event

1×	node limit

Counts

46 → 35

Calls

Call 1

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

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

eval10.0ms (0.5%)

Compiler: Compiled 583 to 372 computations (36.2% saved)

prune7.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Accurracy

100.0%

Counts

36 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(-.f64 (.f64 y x) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
✓	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
▶	74.1%	(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
▶	77.8%	(-.f64 (.f64 y x) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
✓	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
▶	74.1%	(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))

Compiler

Compiled 68 to 52 computations (23.5% saved)

localize54.0ms (3.1%)

Compiler: Compiled 49 to 31 computations (36.7% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	1	1
Total	3	3

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.8%	(-.f64 (.f64 y x) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
✓	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
✓	74.1%	(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))

Status

Accuracy

Program

✓

77.8%

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

✓

100.0%

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

✓

74.1%

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

Compiler

Compiled 75 to 56 computations (25.3% saved)

regimes14.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

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

3.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
3.0ms	x
3.0ms	y
3.0ms	(-.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 71 to 52 computations (26.8% saved)

regimes17.0ms (1%)

Counts

2 → 3

Calls

Call 1

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

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

Outputs

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

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

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

Calls

2 calls:

8.0ms	x
8.0ms	y

Results

Accuracy	Segments	Branch
82.9%	3	`x`
98.9%	3	`y`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes5.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
74.1%	1	`x`
74.1%	1	`y`

Compiler

Compiled 16 to 12 computations (25% saved)

bsearch31.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.01405171770912047	177386250658.16925
15.0ms	-3008.4164632176603	-0.061146960454246245

Results

27.0ms

288×

body

256

valid

Compiler

Compiled 432 to 338 computations (21.8% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative`
28×	`sub-neg`
22×	`*-commutative`
20×	`neg-mul-1`
20×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	127
1	51	127
2	77	127
3	105	119
4	118	119
5	121	119
6	122	119

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

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

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

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(if (<=.f64 y -1) (-.f64 (.f64 y x) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (if (<=.f64 y 1) (-.f64 (neg.f64 x) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (.f64 y x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))))
(if (or (<=.f64 y -1) (not (<=.f64 y 1))) (-.f64 (.f64 x y) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000)) (-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000)))
(if (or (<=.f64 y -1) (not (<=.f64 y 1))) (+.f64 (.f64 x y) (-.f64 918938533204673/1000000000000000 (.f64 y 1/2))) (-.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) x))
(-.f64 (neg.f64 x) (-.f64 (*.f64 y 1/2) 918938533204673/1000000000000000))
(-.f64 (-.f64 918938533204673/1000000000000000 (*.f64 y 1/2)) x)

Compiler

Compiled 49 to 37 computations (24.5% saved)

soundness224.0ms (12.8%)

Rules

2372×	`fma-def`
864×	`fma-neg`
846×	`div-sub`
634×	`distribute-lft-neg-out`
562×	`fma-def`

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	75	710
1	218	688
2	795	676
3	3451	674

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 167 to 123 computations (26.3% saved)

end0.0ms (0%)

preprocess38.0ms (2.2%)

Compiler: Compiled 116 to 86 computations (25.9% saved)

analyze0.0ms (0%)

sample806.0ms (46.1%)

preprocess304.0ms (17.4%)

simplify66.0ms (3.8%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

localize40.0ms (2.3%)

series2.0ms (0.1%)

rewrite64.0ms (3.6%)

simplify53.0ms (3%)

eval10.0ms (0.5%)

prune7.0ms (0.4%)

localize54.0ms (3.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes14.0ms (0.8%)

regimes17.0ms (1%)

regimes5.0ms (0.3%)

bsearch31.0ms (1.8%)

simplify9.0ms (0.5%)

soundness224.0ms (12.8%)

end0.0ms (0%)

preprocess38.0ms (2.2%)

Profiling