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)

sample984.0ms (61.6%)

Results

783.0ms	7247×	body	256	valid
163.0ms	1006×	body	256	infinite
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Bogosity

preprocess174.0ms (10.9%)

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	187
1	79	155
2	182	151
3	313	143
4	578	135
5	868	127
6	1749	121
7	3171	117
8	3735	115
9	3922	115
10	4001	115
11	4009	115
12	4009	109
13	4328	109
14	4328	109

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.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 (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 15 to 11 computations (26.7% saved)

simplify3.0ms (0.2%)

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)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

100.0%

Counts

4 → 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 2) (+.f64 (*.f64 x y) z))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize32.0ms (2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 28 to 12 computations (57.1% 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	x	@	inf	(+.f64 (*.f64 x y) z)
0.0ms	y	@	0	(+.f64 (*.f64 x y) z)
0.0ms	y	@	inf	(+.f64 (*.f64 x y) z)
0.0ms	x	@	0	(+.f64 (*.f64 x y) z)

rewrite59.0ms (3.7%)

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)

simplify80.0ms (5%)

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)

eval10.0ms (0.6%)

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

prune14.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Accurracy

100.0%

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
▶	58.2%	(+.f64 (/.f64 x 2) (*.f64 y x))
▶	68.4%	(+.f64 (/.f64 x 2) z)
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
▶	58.2%	(+.f64 (/.f64 x 2) (*.f64 y x))
▶	68.4%	(+.f64 (/.f64 x 2) z)

Compiler

Compiled 60 to 42 computations (30% saved)

localize51.0ms (3.2%)

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

eval0.0ms (0%)

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

prune2.0ms (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
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	58.2%	(+.f64 (/.f64 x 2) (*.f64 y x))
✓	68.4%	(+.f64 (/.f64 x 2) z)

Compiler

Compiled 63 to 40 computations (36.5% saved)

regimes23.0ms (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 (/.f64 x 2) (*.f64 y x)) z)

Calls

5 calls:

6.0ms	x
5.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
4.0ms	y
3.0ms	z
3.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) 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)

regimes51.0ms (3.2%)

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:

17.0ms	y
13.0ms	x
12.0ms	z
8.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))

Results

Accuracy	Segments	Branch
83.8%	3	`x`
85.6%	5	`y`
84.3%	3	`z`
90.6%	3	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 37 to 26 computations (29.7% saved)

regimes8.0ms (0.5%)

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:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
68.4%	1	`y`
68.4%	1	`x`
68.4%	1	`z`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.448695664178468e+157	1.6709583555322706e+164
0.0ms	-1.5635927850767983e+64	-2.7143630467402416e+50

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	131
1	29	131

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) -10000000000000000213204190094543968723012578712679649467743338496) (+.f64 (/.f64 x 2) (*.f64 y x)) (if (<=.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) 99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776) (+.f64 (/.f64 x 2) z) (+.f64 (/.f64 x 2) (*.f64 y x))))

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

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 x y)) z)
(if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) -10000000000000000213204190094543968723012578712679649467743338496) (+.f64 (/.f64 x 2) (.f64 y x)) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) 99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776) (+.f64 (/.f64 x 2) z) (+.f64 (/.f64 x 2) (.f64 y x))))
(if (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -10000000000000000213204190094543968723012578712679649467743338496) (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 99999999999999995287335453651211007997446182781858083179085387749785952239205787068995699003416510776387310061494932420984963311567802202010637287727642443776))) (+.f64 (/.f64 x 2) (*.f64 x y)) (+.f64 (/.f64 x 2) z))
(+.f64 (/.f64 x 2) z)

Compiler

Compiled 56 to 37 computations (33.9% saved)

soundness16.0ms (1%)

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

end0.0ms (0%)

preprocess80.0ms (5%)

Compiler: Compiled 124 to 76 computations (38.7% saved)

analyze0.0ms (0%)

sample984.0ms (61.6%)

preprocess174.0ms (10.9%)

simplify3.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize32.0ms (2%)

series2.0ms (0.1%)

rewrite59.0ms (3.7%)

simplify80.0ms (5%)

eval10.0ms (0.6%)

prune14.0ms (0.9%)

localize51.0ms (3.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes23.0ms (1.4%)

regimes51.0ms (3.2%)

regimes8.0ms (0.5%)

bsearch0.0ms (0%)

simplify6.0ms (0.4%)

soundness16.0ms (1%)

end0.0ms (0%)

preprocess80.0ms (5%)

Profiling