Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

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 13 to 9 computations (30.8% saved)

sample807.0ms (44.1%)

Results

687.0ms	7218×	body	256	valid
110.0ms	1038×	body	256	infinite

Bogosity

preprocess194.0ms (10.6%)

Algorithm

1×	egg-herbie

Rules

3066×	`fma-def`
456×	`distribute-rgt-in`
428×	`fma-neg`
338×	`sub-neg`
308×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	33	212
1	79	176
2	182	172
3	313	164
4	578	154
5	868	142
6	1749	136
7	3171	132
8	3735	130
9	3922	130
10	4001	130
11	4009	130
12	4009	124
13	4328	124
14	4328	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 (neg.f64 x) 2) (*.f64 y (neg.f64 x))) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 (neg.f64 y) x)) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) (neg.f64 z))
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (*.f64 x (+.f64 y 1/2)) z)
(fma.f64 x (+.f64 y 1/2) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (*.f64 x (+.f64 y 1/2)) z)
(fma.f64 x (+.f64 y 1/2) z)
(+.f64 (+.f64 (/.f64 (neg.f64 x) 2) (*.f64 y (neg.f64 x))) z)
(+.f64 z (+.f64 (/.f64 (neg.f64 x) 2) (*.f64 x (neg.f64 y))))
(+.f64 z (neg.f64 (fma.f64 x y (/.f64 x 2))))
(-.f64 z (fma.f64 x y (/.f64 x 2)))
(+.f64 z (*.f64 x (-.f64 -1/2 y)))
(fma.f64 x (-.f64 -1/2 y) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 (neg.f64 y) x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x (neg.f64 y)) z))
(+.f64 (/.f64 x 2) (fma.f64 y (neg.f64 x) z))
(-.f64 z (fma.f64 x y (*.f64 x -1/2)))
(-.f64 z (*.f64 x (+.f64 y -1/2)))
(+.f64 z (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) (neg.f64 z))
(-.f64 (+.f64 (/.f64 x 2) (*.f64 x y)) z)
(-.f64 (fma.f64 x y (/.f64 x 2)) z)
(-.f64 (*.f64 x (-.f64 y -1/2)) z)
(fma.f64 x (+.f64 y 1/2) (neg.f64 z))
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 z (+.f64 (*.f64 x y) (/.f64 y 2)))
(+.f64 z (fma.f64 x y (/.f64 y 2)))
(-.f64 (fma.f64 x y z) (/.f64 y -2))
(fma.f64 x y (fma.f64 1/2 y z))
(fma.f64 y (+.f64 x 1/2) z)
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 x (+.f64 (/.f64 z 2) (*.f64 y z)))
(+.f64 x (fma.f64 y z (/.f64 z 2)))
(+.f64 x (fma.f64 y z (*.f64 1/2 z)))
(+.f64 x (*.f64 z (+.f64 y 1/2)))
(fma.f64 z (+.f64 y 1/2) x)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x z) y))
(+.f64 (/.f64 x 2) (fma.f64 x z y))
(+.f64 (*.f64 x 1/2) (fma.f64 x z y))
(fma.f64 x z (fma.f64 x 1/2 y))
(fma.f64 x (+.f64 z 1/2) y)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval1.0ms (0%)

Compiler: Compiled 33 to 19 computations (42.4% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
▶	100.0%	(+.f64 (*.f64 x (+.f64 y 1/2)) z)
▶	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
▶	100.0%	(+.f64 (*.f64 x (+.f64 y 1/2)) z)

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize58.0ms (3.2%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 47 to 22 computations (53.2% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`pow1`
1530×	`add-exp-log`
1530×	`log1p-expm1-u`
1530×	`expm1-log1p-u`
1504×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	156	13
2	2060	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs
(+.f64 (.f64 x y) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 (.f64 x y) 1) (.f64 (.f64 x 1/2) 1))
(-.f64 (+.f64 1 (*.f64 x (+.f64 y 1/2))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (*.f64 x 1/2)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x 1/2))) (-.f64 (.f64 x y) (.f64 x 1/2)))
(/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y y (-.f64 1/4 (.f64 y 1/2))))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 1/4 (.f64 y 1/2))))
(/.f64 (*.f64 (fma.f64 y y -1/4) x) (+.f64 y -1/2))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y 1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 y 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 y x (*.f64 x 1/2))

simplify76.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1400×	`fma-neg`
1008×	`associate-/r*`
662×	`fma-def`
594×	`associate-*r/`
480×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	744
1	238	732
2	912	718
3	3735	708
4	7931	708

Stop Event

1×	node limit

Counts

48 → 36

Calls

Call 1

Inputs
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 (.f64 x y) 1) (.f64 (.f64 x 1/2) 1))
(-.f64 (+.f64 1 (*.f64 x (+.f64 y 1/2))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (*.f64 x 1/2)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x 1/2))) (-.f64 (.f64 x y) (.f64 x 1/2)))
(/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y y (-.f64 1/4 (.f64 y 1/2))))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y -1/2))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 1/4 (.f64 y 1/2))))
(/.f64 (*.f64 (fma.f64 y y -1/4) x) (+.f64 y -1/2))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 y 1/2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 y 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 y x (*.f64 x 1/2))

Outputs
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 x 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 (.f64 x y) 1) (.f64 (.f64 x 1/2) 1))
(*.f64 x (+.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 x (+.f64 y 1/2))) 1)
(*.f64 x (+.f64 1/2 y))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x y) (*.f64 x 1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (.f64 x y) (.f64 x y) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (.f64 (.f64 y y) x) (.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)))))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) (pow.f64 x 3)) (.f64 x (+.f64 (.f64 x (fma.f64 y -1/2 1/4)) (.f64 x (*.f64 y y)))))
(/.f64 (/.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) (pow.f64 x 3)) x) (.f64 x (fma.f64 y y (fma.f64 y -1/2 1/4))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 x 1/2) (.f64 x 1/2))) (-.f64 (.f64 x y) (.f64 x 1/2)))
(*.f64 x (+.f64 1/2 y))
(/.f64 (.f64 x (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y y (-.f64 1/4 (.f64 y 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y y (-.f64 1/4 (*.f64 1/2 y))) x))
(.f64 (/.f64 x (fma.f64 y y (+.f64 1/4 (.f64 y -1/2)))) (+.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y y (fma.f64 y -1/2 1/4))))
(/.f64 (*.f64 x (fma.f64 y y -1/4)) (+.f64 y -1/2))
(*.f64 x (+.f64 1/2 y))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y y (-.f64 1/4 (.f64 y 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y y (-.f64 1/4 (*.f64 1/2 y))) x))
(.f64 (/.f64 x (fma.f64 y y (+.f64 1/4 (.f64 y -1/2)))) (+.f64 1/8 (pow.f64 y 3)))
(*.f64 x (/.f64 (+.f64 1/8 (pow.f64 y 3)) (fma.f64 y y (fma.f64 y -1/2 1/4))))
(/.f64 (*.f64 (fma.f64 y y -1/4) x) (+.f64 y -1/2))
(*.f64 x (+.f64 1/2 y))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(*.f64 x (+.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(*.f64 x (+.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 (+.f64 y 1/2)) x))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 y 1/2) 3)))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y 1/2) 3) (pow.f64 x 3)))
(*.f64 x (+.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(fma.f64 x y (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 y x (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))

eval10.0ms (0.6%)

Compiler: Compiled 496 to 304 computations (38.7% saved)

prune8.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	34	4	38

Accuracy

100.0%

Counts

38 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	100.0%	(+.f64 (*.f64 x (+.f64 y 1/2)) z)
▶	75.8%	(+.f64 (*.f64 x y) z)
▶	65.8%	(+.f64 (*.f64 x 1/2) z)
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	100.0%	(+.f64 (*.f64 x (+.f64 y 1/2)) z)
▶	75.8%	(+.f64 (*.f64 x y) z)
▶	65.8%	(+.f64 (*.f64 x 1/2) z)

Compiler

Compiled 76 to 52 computations (31.6% saved)

localize39.0ms (2.1%)

Compiler: Compiled 26 to 12 computations (53.8% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	2	2
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	100.0%	(+.f64 (*.f64 x (+.f64 y 1/2)) z)
✓	75.8%	(+.f64 (*.f64 x y) z)
✓	65.8%	(+.f64 (*.f64 x 1/2) z)

Compiler

Compiled 76 to 46 computations (39.5% saved)

regimes23.0ms (1.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(+.f64 (*.f64 x 1/2) z)
(+.f64 (*.f64 x y) z)
(+.f64 (*.f64 x (+.f64 y 1/2)) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Calls

5 calls:

5.0ms	z
4.0ms	x
4.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
4.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 72 to 44 computations (38.9% saved)

regimes13.0ms (0.7%)

Counts

3 → 1

Calls

Call 1

Inputs
(+.f64 (*.f64 x 1/2) z)
(+.f64 (*.f64 x y) z)
(+.f64 (*.f64 x (+.f64 y 1/2)) z)

Outputs
(+.f64 (*.f64 x (+.f64 y 1/2)) z)

Calls

3 calls:

5.0ms	x
4.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 32 to 21 computations (34.4% saved)

regimes36.0ms (2%)

Counts

2 → 3

Calls

Call 1

Inputs
(+.f64 (*.f64 x 1/2) z)
(+.f64 (*.f64 x y) z)

Outputs
(+.f64 (*.f64 x y) z)
(+.f64 (*.f64 x 1/2) z)
(+.f64 (*.f64 x y) z)

Calls

3 calls:

17.0ms	x
10.0ms	y
9.0ms	z

Results

Accuracy	Segments	Branch
81.4%	6	`x`
98.4%	3	`y`
79.6%	3	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes9.0ms (0.5%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 (*.f64 x 1/2) z)

Outputs
(+.f64 (*.f64 x 1/2) z)

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
65.8%	1	`x`
65.8%	1	`z`
65.8%	1	`y`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch32.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.3857278407673467e-8	0.0031128813873126764
16.0ms	-5.094770667686635e+19	-562614304041.0994

Results

28.0ms	280×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 342 to 247 computations (27.8% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
6×	`*-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	108
1	42	108

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (*.f64 x (+.f64 y 1/2)) z)
(if (<=.f64 y -580000000000) (+.f64 (.f64 x y) z) (if (<=.f64 y 7148113328562451/2305843009213693952) (+.f64 (.f64 x 1/2) z) (+.f64 (*.f64 x y) z)))
(+.f64 (*.f64 x 1/2) z)

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 x y)) z)
(+.f64 (*.f64 x (+.f64 y 1/2)) z)
(+.f64 z (*.f64 x (+.f64 y 1/2)))
(if (<=.f64 y -580000000000) (+.f64 (.f64 x y) z) (if (<=.f64 y 7148113328562451/2305843009213693952) (+.f64 (.f64 x 1/2) z) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 y -580000000000) (not (<=.f64 y 7148113328562451/2305843009213693952))) (+.f64 (.f64 x y) z) (+.f64 z (.f64 x 1/2)))
(+.f64 (*.f64 x 1/2) z)
(+.f64 z (*.f64 x 1/2))

Compiler

Compiled 52 to 36 computations (30.8% saved)

soundness417.0ms (22.8%)

Rules

3066×	`fma-def`
1400×	`fma-neg`
1008×	`associate-/r*`
662×	`fma-def`
594×	`associate-*r/`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	33	212
1	79	176
2	182	172
3	313	164
4	578	154
5	868	142
6	1749	136
7	3171	132
8	3735	130
9	3922	130
10	4001	130
11	4009	130
12	4009	124
13	4328	124
14	4328	124
0	84	744
1	238	732
2	912	718
3	3735	708
4	7931	708

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 189 to 118 computations (37.6% saved)

end0.0ms (0%)

preprocess38.0ms (2.1%)

Compiler: Compiled 110 to 68 computations (38.2% saved)

analyze0.0ms (0%)

sample807.0ms (44.1%)

preprocess194.0ms (10.6%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize58.0ms (3.2%)

series2.0ms (0.1%)

rewrite56.0ms (3%)

simplify76.0ms (4.1%)

eval10.0ms (0.6%)

prune8.0ms (0.4%)

localize39.0ms (2.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes23.0ms (1.2%)

regimes13.0ms (0.7%)

regimes36.0ms (2%)

regimes9.0ms (0.5%)

bsearch32.0ms (1.8%)

simplify6.0ms (0.3%)

soundness417.0ms (22.8%)

end0.0ms (0%)

preprocess38.0ms (2.1%)

Profiling