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)

sample978.0ms (42%)

Results

869.0ms	7219×	body	256	valid
97.0ms	1033×	body	256	infinite
0.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid

Bogosity

preprocess172.0ms (7.4%)

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 (0.1%)

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)

localize53.0ms (2.3%)

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)

rewrite98.0ms (4.2%)

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)

simplify57.0ms (2.4%)

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 (0.4%)

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

prune10.0ms (0.4%)

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))
▶	59.5%	(+.f64 (/.f64 x 2) (*.f64 y x))
▶	69.1%	(+.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))
▶	59.5%	(+.f64 (/.f64 x 2) (*.f64 y x))
▶	69.1%	(+.f64 (/.f64 x 2) z)

Compiler

Compiled 82 to 56 computations (31.7% saved)

localize38.0ms (1.6%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 31 to 17 computations (45.2% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (/.f64 x 2) (*.f64 y x))
0.0ms	x	@	0	(+.f64 (/.f64 x 2) (*.f64 y x))
0.0ms	x	@	-inf	(+.f64 (/.f64 x 2) (*.f64 y x))
0.0ms	y	@	0	(+.f64 (/.f64 x 2) (*.f64 y x))
0.0ms	y	@	inf	(+.f64 (/.f64 x 2) (*.f64 y x))

rewrite109.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1890×	`pow1`
1764×	`add-exp-log`
1762×	`log1p-expm1-u`
1762×	`expm1-log1p-u`
186×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	178	13
2	2409	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

simplify60.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg`
844×	`cancel-sign-sub-inv`
838×	`div-sub`
682×	`fma-def`
642×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1395
1	282	1363
2	987	1305
3	4557	1245

Stop Event

1×	node limit

Counts

63 → 56

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

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

eval28.0ms (1.2%)

Compiler: Compiled 815 to 480 computations (41.1% saved)

prune12.0ms (0.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	53	7	60

Accurracy

100.0%

Counts

60 → 7

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))
✓	59.5%	(+.f64 (/.f64 x 2) (*.f64 y x))
✓	69.1%	(+.f64 (/.f64 x 2) z)
▶	59.5%	(*.f64 (+.f64 1/2 y) x)
▶	32.5%	(*.f64 y x)
▶	29.6%	(*.f64 1/2 x)
✓	100.0%	(+.f64 (/.f64 x 2) (fma.f64 x y z))
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
✓	59.5%	(+.f64 (/.f64 x 2) (*.f64 y x))
✓	69.1%	(+.f64 (/.f64 x 2) z)
▶	59.5%	(*.f64 (+.f64 1/2 y) x)
▶	32.5%	(*.f64 y x)
▶	29.6%	(*.f64 1/2 x)

Compiler

Compiled 122 to 86 computations (29.5% saved)

localize56.0ms (2.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 25 to 14 computations (44% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (+.f64 1/2 y) x)
0.0ms	x	@	-inf	(*.f64 (+.f64 1/2 y) x)
0.0ms	y	@	inf	(*.f64 (+.f64 1/2 y) x)
0.0ms	x	@	0	(*.f64 (+.f64 1/2 y) x)
0.0ms	y	@	0	(*.f64 (+.f64 1/2 y) x)

rewrite81.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`pow1`
1442×	`add-exp-log`
1442×	`log1p-expm1-u`
1442×	`expm1-log1p-u`
1416×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	150	13
2	1893	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

simplify75.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1660×	`log-prod`
988×	`fma-def`
960×	`fma-neg`
764×	`*-commutative`
600×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	481
1	141	473
2	417	473
3	2377	473
4	4934	473
5	7396	473

Stop Event

1×	node limit

Counts

31 → 31

Calls

Call 1

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

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

eval6.0ms (0.3%)

Compiler: Compiled 283 to 185 computations (34.6% saved)

prune51.0ms (2.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	31	7	38

Accurracy

100.0%

Counts

38 → 7

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))
✓	59.5%	(+.f64 (/.f64 x 2) (*.f64 y x))
✓	69.1%	(+.f64 (/.f64 x 2) z)
✓	59.5%	(*.f64 (+.f64 1/2 y) x)
✓	32.5%	(*.f64 y x)
✓	29.6%	(*.f64 1/2 x)

Compiler

Compiled 113 to 71 computations (37.2% saved)

regimes28.0ms (1.2%)

Counts

8 → 1

Calls

Call 1

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

7.0ms	z
5.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
5.0ms	x
5.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
5.0ms	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 86 to 52 computations (39.5% saved)

regimes56.0ms (2.4%)

Counts

7 → 1

Calls

Call 1

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

23.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
16.0ms	x
5.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
5.0ms	z
5.0ms	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 78 to 48 computations (38.5% saved)

regimes134.0ms (5.8%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

93.0ms	z
16.0ms	x
12.0ms	y
11.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))

Results

Accuracy	Segments	Branch
82.8%	3	`x`
85.1%	3	`y`
86.0%	7	`z`
86.9%	3	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes12.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
59.5%	1	`z`
59.5%	1	`x`
59.5%	1	`y`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes40.0ms (1.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x
11.0ms	z
9.0ms	y

Results

Accuracy	Segments	Branch
40.0%	6	`x`
39.8%	4	`z`
58.8%	3	`y`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes9.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

3 calls:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
29.6%	1	`x`
29.6%	1	`z`
29.6%	1	`y`

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6167625486114536e+174	1.451321802981072e+175
0.0ms	-1.0161868281516163e+248	-1.023288250183691e+239

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch27.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.8406501271097355e-6	7.8674112121608495
12.0ms	-2.4131427514943563e-29	-1.5650694762297516e-31

Results

24.0ms

256×

body

256

valid

Compiler

Compiled 242 to 189 computations (21.9% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
6×	`*-commutative`
4×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	192
1	48	192

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) -100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616) (.f64 (+.f64 1/2 y) x) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) 2000000000000000137915135073689165875359652196704874198187565661193312641284417509132373599233810570853199965858834917760600767800956522391407163437154734795519664771502702592) (+.f64 (/.f64 x 2) z) (.f64 (+.f64 1/2 y) x)))
(*.f64 (+.f64 1/2 y) x)
(if (<=.f64 y -8563486156235759/356811923176489970264571492362373784095686656) (.f64 y x) (if (<=.f64 y 1/2) (.f64 1/2 x) (*.f64 y x)))
(*.f64 1/2 x)

Outputs
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 z (+.f64 (/.f64 x 2) (*.f64 x y)))
(if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) -100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616) (.f64 (+.f64 1/2 y) x) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) 2000000000000000137915135073689165875359652196704874198187565661193312641284417509132373599233810570853199965858834917760600767800956522391407163437154734795519664771502702592) (+.f64 (/.f64 x 2) z) (.f64 (+.f64 1/2 y) x)))
(if (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -100000000000000004529828046727141746947240184637542665783753313900757015278809664236212362908068632088130911440353246844005893434193998802215452930446088047790723234500178792233381012913302936013527818404707654908851814405278709728676750356293615616) (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 2000000000000000137915135073689165875359652196704874198187565661193312641284417509132373599233810570853199965858834917760600767800956522391407163437154734795519664771502702592))) (*.f64 x (+.f64 y 1/2)) (+.f64 (/.f64 x 2) z))
(*.f64 (+.f64 1/2 y) x)
(*.f64 x (+.f64 y 1/2))
(if (<=.f64 y -8563486156235759/356811923176489970264571492362373784095686656) (.f64 y x) (if (<=.f64 y 1/2) (.f64 1/2 x) (*.f64 y x)))
(if (<=.f64 y -8563486156235759/356811923176489970264571492362373784095686656) (.f64 x y) (if (<=.f64 y 1/2) (.f64 x 1/2) (*.f64 x y)))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 91 to 61 computations (33% saved)

soundness17.0ms (0.7%)

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)

end0.0ms (0%)

preprocess92.0ms (3.9%)

Compiler: Compiled 176 to 104 computations (40.9% saved)

analyze0.0ms (0%)

sample978.0ms (42%)

preprocess172.0ms (7.4%)

simplify3.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize53.0ms (2.3%)

series2.0ms (0.1%)

rewrite98.0ms (4.2%)

simplify57.0ms (2.4%)

eval9.0ms (0.4%)

prune10.0ms (0.4%)

localize38.0ms (1.6%)

series2.0ms (0.1%)

rewrite109.0ms (4.7%)

simplify60.0ms (2.6%)

eval28.0ms (1.2%)

prune12.0ms (0.5%)

localize56.0ms (2.4%)

series2.0ms (0.1%)

rewrite81.0ms (3.5%)

simplify75.0ms (3.2%)

eval6.0ms (0.3%)

prune51.0ms (2.2%)

regimes28.0ms (1.2%)

regimes56.0ms (2.4%)

regimes134.0ms (5.8%)

regimes12.0ms (0.5%)

regimes40.0ms (1.7%)

regimes9.0ms (0.4%)

bsearch0.0ms (0%)

bsearch27.0ms (1.2%)

simplify8.0ms (0.3%)

soundness17.0ms (0.7%)

end0.0ms (0%)

preprocess92.0ms (3.9%)

Profiling