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)

sample867.0ms (59%)

Results

756.0ms	7198×	body	256	valid
100.0ms	1058×	body	256	infinite

Bogosity

preprocess17.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

44×	`fma-def`
38×	`+-commutative`
24×	`associate-+r+`
24×	`associate-+l+`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	42	84
2	84	84
3	100	84
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify12.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

12×	`fma-def`
10×	`+-commutative`
6×	`associate-+r+`
6×	`associate-+l+`
2×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	15	21
2	27	21
3	31	21

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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))

eval1.0ms (0%)

Compiler: Compiled 29 to 17 computations (41.4% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 46 to 30 computations (34.8% saved)

localize46.0ms (3.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 47 to 19 computations (59.6% saved)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`pow1`
1502×	`add-exp-log`
1502×	`log1p-expm1-u`
1502×	`expm1-log1p-u`
1472×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	9
2	2040	9

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (*.f64 x y) z)

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

simplify61.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1374×	`fma-neg`
946×	`associate-r`
924×	`associate-l`
696×	`div-sub`
636×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	917
1	219	867
2	718	867
3	4536	867

Stop Event

1×	node limit

Counts

71 → 41

Calls

Call 1

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

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

eval9.0ms (0.6%)

Compiler: Compiled 653 to 309 computations (52.7% saved)

prune10.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	39	4	43

Accurracy

100.0%

Counts

43 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x 2) (fma.f64 x y z))
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
▶	58.5%	(+.f64 (/.f64 x 2) (*.f64 y x))
▶	66.1%	(+.f64 (/.f64 x 2) z)
✓	100.0%	(+.f64 (/.f64 x 2) (fma.f64 x y z))
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
▶	58.5%	(+.f64 (/.f64 x 2) (*.f64 y x))
▶	66.1%	(+.f64 (/.f64 x 2) z)

Compiler

Compiled 82 to 56 computations (31.7% saved)

localize65.0ms (4.4%)

Compiler: Compiled 31 to 17 computations (45.2% saved)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

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

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x 2) (fma.f64 x y z))
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	58.5%	(+.f64 (/.f64 x 2) (*.f64 y x))
✓	66.1%	(+.f64 (/.f64 x 2) z)

Compiler

Compiled 82 to 51 computations (37.8% saved)

regimes43.0ms (2.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	z
4.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
4.0ms	x
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 75 to 47 computations (37.3% saved)

regimes20.0ms (1.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
4.0ms	x
4.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
4.0ms	y
3.0ms	z

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 67 to 43 computations (35.8% saved)

regimes19.0ms (1.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
3.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
3.0ms	x
3.0ms	y
3.0ms	z

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 58 to 38 computations (34.5% saved)

regimes69.0ms (4.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
12.0ms	y
8.0ms	z
8.0ms	x

Results

Accuracy	Segments	Branch
82.6%	3	`x`
91.3%	3	`y`
80.7%	3	`z`
89.8%	3	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 37 to 26 computations (29.7% saved)

regimes37.0ms (2.5%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

31.0ms	x
3.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
66.1%	1	`z`
66.1%	1	`x`
66.1%	1	`y`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch33.0ms (2.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.5424446164225762e+100	1.6689276994470376e+110
15.0ms	-4.363990734586787e+61	-2.211464453533561e+56

Results

26.0ms	263×	body	256	valid
4.0ms	41×	body	256	infinite

Compiler

Compiled 398 to 298 computations (25.1% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	141
1	39	141

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(if (<=.f64 y -1479999999999999987925309836529578624383080849486605451264) (+.f64 (/.f64 x 2) (.f64 y x)) (if (<=.f64 y 15500000000000000343628256812565183271932348615291131486281399667116126159454711131206092738338488320) (+.f64 (/.f64 x 2) z) (+.f64 (/.f64 x 2) (.f64 y x))))
(+.f64 (/.f64 x 2) z)

Outputs
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (+.f64 z (*.f64 x y)))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y)))
(if (<=.f64 y -1479999999999999987925309836529578624383080849486605451264) (+.f64 (/.f64 x 2) (.f64 y x)) (if (<=.f64 y 15500000000000000343628256812565183271932348615291131486281399667116126159454711131206092738338488320) (+.f64 (/.f64 x 2) z) (+.f64 (/.f64 x 2) (.f64 y x))))
(if (or (<=.f64 y -1479999999999999987925309836529578624383080849486605451264) (not (<=.f64 y 15500000000000000343628256812565183271932348615291131486281399667116126159454711131206092738338488320))) (+.f64 (/.f64 x 2) (*.f64 x y)) (+.f64 (/.f64 x 2) z))
(+.f64 (/.f64 x 2) z)

Compiler

Compiled 67 to 46 computations (31.3% saved)

soundness17.0ms (1.2%)

Rules

12×	`fma-def`
12×	`fma-def`
10×	`+-commutative`
10×	`+-commutative`
6×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	15	21
2	27	21
3	31	21
0	10	25
1	15	21
2	27	21
3	31	21

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 68 to 38 computations (44.1% saved)

end75.0ms (5.1%)

Compiler: Compiled 134 to 80 computations (40.3% saved)

analyze0.0ms (0%)

sample867.0ms (59%)

preprocess17.0ms (1.1%)

simplify12.0ms (0.8%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize46.0ms (3.2%)

series2.0ms (0.1%)

rewrite55.0ms (3.8%)

simplify61.0ms (4.1%)

eval9.0ms (0.6%)

prune10.0ms (0.7%)

localize65.0ms (4.4%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes43.0ms (2.9%)

regimes20.0ms (1.4%)

regimes19.0ms (1.3%)

regimes69.0ms (4.7%)

regimes37.0ms (2.5%)

bsearch33.0ms (2.3%)

simplify7.0ms (0.5%)

soundness17.0ms (1.2%)

end75.0ms (5.1%)

Profiling