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

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.2s (50.9%)

Results

1.0s	7239×	body	256	valid
120.0ms	1016×	body	256	infinite
0.0ms	1×	body	512	valid

Bogosity

preprocess206.0ms (8.8%)

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)

eval2.0ms (0.1%)

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

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 20 to 14 computations (30% saved)

localize60.0ms (2.5%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite105.0ms (4.5%)

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))

simplify103.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1400×	`fma-neg`
1020×	`associate-/r*`
662×	`fma-def`
594×	`associate-*r/`
492×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	744
1	238	732
2	912	718
3	3733	708
4	7944	708

Stop Event

1×	node limit

Counts

48 → 36

Calls

Call 1

Inputs
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 (+.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 y x))
(+.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 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(*.f64 y x)
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 y x))
(*.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 y x) 3) (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (.f64 y x) (.f64 y x) (.f64 (.f64 1/2 x) (-.f64 (.f64 1/2 x) (.f64 y x)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (.f64 y (.f64 y x)) (.f64 x (.f64 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 y (.f64 y x)) (*.f64 x (fma.f64 y -1/2 1/4)))))
(/.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 x (/.f64 (fma.f64 y y (-.f64 1/4 (*.f64 1/2 y))) (+.f64 1/8 (pow.f64 y 3))))
(.f64 (/.f64 x (fma.f64 y y (-.f64 1/4 (.f64 1/2 y)))) (+.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 x (/.f64 (fma.f64 y y (-.f64 1/4 (*.f64 1/2 y))) (+.f64 1/8 (pow.f64 y 3))))
(.f64 (/.f64 x (fma.f64 y y (-.f64 1/4 (.f64 1/2 y)))) (+.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))

eval18.0ms (0.8%)

Compiler: Compiled 498 to 304 computations (39% saved)

prune14.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Accuracy

100.0%

Counts

37 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.1%	(+.f64 (*.f64 y x) z)
✓	100.0%	(+.f64 (*.f64 x (+.f64 y 1/2)) z)
▶	65.2%	(+.f64 (*.f64 1/2 x) z)
▶	76.1%	(+.f64 (*.f64 y x) z)
✓	100.0%	(+.f64 (*.f64 x (+.f64 y 1/2)) z)
▶	65.2%	(+.f64 (*.f64 1/2 x) z)

Compiler

Compiled 52 to 36 computations (30.8% saved)

localize58.0ms (2.5%)

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

eval0.0ms (0%)

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

prune4.0ms (0.2%)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.1%	(+.f64 (*.f64 y x) z)
✓	100.0%	(+.f64 (*.f64 x (+.f64 y 1/2)) z)
✓	65.2%	(+.f64 (*.f64 1/2 x) z)

Compiler

Compiled 55 to 34 computations (38.2% saved)

regimes32.0ms (1.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	z
7.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
7.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
5.0ms	y
4.0ms	x

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 63 to 40 computations (36.5% saved)

regimes28.0ms (1.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	z
9.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
78.6%	2	`x`
99.5%	3	`y`
78.4%	3	`z`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes12.0ms (0.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
65.2%	1	`z`
65.2%	1	`x`
65.2%	1	`y`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch38.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	7.273168365331446e-22	2.424875736259822e-7
18.0ms	-115873.5131770291	-2.6705064613585954e-14

Results

33.0ms

320×

body

256

valid

Compiler

Compiled 378 to 273 computations (27.8% saved)

simplify16.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	83
1	34	83

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y -1/2) (+.f64 (*.f64 y x) z) (if (<=.f64 y 4533471823554859/18889465931478580854784) (+.f64 (*.f64 1/2 x) z) (+.f64 (*.f64 y x) z)))

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

Outputs
(+.f64 (*.f64 x (+.f64 y 1/2)) z)
(if (<=.f64 y -1/2) (+.f64 (.f64 y x) z) (if (<=.f64 y 4533471823554859/18889465931478580854784) (+.f64 (.f64 1/2 x) z) (+.f64 (*.f64 y x) z)))
(if (or (<=.f64 y -1/2) (not (<=.f64 y 4533471823554859/18889465931478580854784))) (+.f64 z (.f64 x y)) (+.f64 z (.f64 x 1/2)))
(+.f64 (*.f64 1/2 x) z)
(+.f64 z (*.f64 x 1/2))

Compiler

Compiled 40 to 28 computations (30% saved)

soundness380.0ms (16.2%)

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

Compiler

Compiled 176 to 109 computations (38.1% saved)

end0.0ms (0%)

preprocess69.0ms (2.9%)

Compiler: Compiled 92 to 60 computations (34.8% saved)

analyze1.0ms (0%)

sample1.2s (50.9%)

preprocess206.0ms (8.8%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize60.0ms (2.5%)

series4.0ms (0.2%)

rewrite105.0ms (4.5%)

simplify103.0ms (4.4%)

eval18.0ms (0.8%)

prune14.0ms (0.6%)

localize58.0ms (2.5%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes32.0ms (1.4%)

regimes28.0ms (1.2%)

regimes12.0ms (0.5%)

bsearch38.0ms (1.6%)

simplify16.0ms (0.7%)

soundness380.0ms (16.2%)

end0.0ms (0%)

preprocess69.0ms (2.9%)

Profiling