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)

sample1.3s (59.9%)

Results

1.2s	7188×	body	256	valid
110.0ms	1067×	body	256	infinite
0.0ms	1×	body	1024	valid

Bogosity

preprocess180.0ms (8.1%)

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)

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 (2.4%)

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)

series11.0ms (0.5%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	0	(+.f64 (*.f64 x y) z)
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)

rewrite57.0ms (2.6%)

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)

simplify59.0ms (2.7%)

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)

eval11.0ms (0.5%)

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

prune8.0ms (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))
▶	62.5%	(+.f64 (/.f64 x 2) (*.f64 y x))
▶	64.9%	(+.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))
▶	62.5%	(+.f64 (/.f64 x 2) (*.f64 y x))
▶	64.9%	(+.f64 (/.f64 x 2) z)

Compiler

Compiled 82 to 56 computations (31.7% saved)

localize41.0ms (1.8%)

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))

rewrite56.0ms (2.5%)

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))

simplify57.0ms (2.5%)

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)

eval19.0ms (0.9%)

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

prune12.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	54	6	60

Accurracy

100.0%

Counts

60 → 6

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))
✓	64.9%	(+.f64 (/.f64 x 2) z)
▶	62.5%	(*.f64 (+.f64 1/2 y) x)
▶	37.5%	(*.f64 y x)
▶	27.5%	(*.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))
✓	64.9%	(+.f64 (/.f64 x 2) z)
▶	62.5%	(*.f64 (+.f64 1/2 y) x)
▶	37.5%	(*.f64 y x)
▶	27.5%	(*.f64 1/2 x)

Compiler

Compiled 102 to 72 computations (29.4% saved)

localize33.0ms (1.5%)

Compiler: Compiled 25 to 14 computations (44% saved)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	3	3
Total	6	6

Accurracy

100.0%

Counts

6 → 6

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))
✓	64.9%	(+.f64 (/.f64 x 2) z)
✓	62.5%	(*.f64 (+.f64 1/2 y) x)
✓	37.5%	(*.f64 y x)
✓	27.5%	(*.f64 1/2 x)

Compiler

Compiled 103 to 64 computations (37.9% saved)

regimes28.0ms (1.3%)

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:

6.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
5.0ms	x
5.0ms	z
5.0ms	(+.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 86 to 52 computations (39.5% saved)

regimes25.0ms (1.1%)

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:

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

Results

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

Compiler

Compiled 78 to 48 computations (38.5% saved)

regimes63.0ms (2.8%)

Counts

5 → 5

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

Calls

4 calls:

18.0ms	z
17.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
15.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
82.4%	3	`x`
85.4%	3	`y`
83.0%	5	`z`
89.3%	5	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes11.0ms (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
62.5%	1	`z`
62.5%	1	`x`
62.5%	1	`y`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes30.0ms (1.3%)

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:

13.0ms	x
8.0ms	z
8.0ms	y

Results

Accuracy	Segments	Branch
61.6%	3	`y`
40.2%	3	`z`
41.8%	5	`x`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes8.0ms (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	y
2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
27.5%	1	`x`
27.5%	1	`z`
27.5%	1	`y`

Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	7.297587725514158e+76	1.840678340050723e+77
0.0ms	-2.748553911240446e+140	-2.418606731721921e+137
0.0ms	-9.612335131123658e+201	-9.036082629241091e+201
0.0ms	-1.0304851156302569e+240	-3.293913029019308e+233

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch29.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.3079427973787999	15.65959053402531
17.0ms	-6415101933755759.0	-0.010974349915088645

Results

26.0ms

272×

body

256

valid

Compiler

Compiled 256 to 200 computations (21.9% saved)

simplify11.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	272
1	54	266
2	57	260
3	63	256
4	67	256
5	71	256
6	72	256
7	73	256

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)) -1000000000000000013946113804119924437974165856986638331112094170909680489426130543638408513078605724209795153399497011464465488473637220910340574757582946907032347746826714825234078949864321840610832155574248213693581484614981956096327942144) (.f64 (+.f64 1/2 y) x) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) -9500000000000000154371471042398661874745168968476622389804440289173510703315160158484413952676159886445815564188284505293225027322075300809095587826540211586467863485145725089329889599133035475612205056) (+.f64 (/.f64 x 2) z) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) -200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (.f64 (+.f64 1/2 y) x) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) 99999999999999998278261272554585856747747644714015897553975120217811154108416) (+.f64 (/.f64 x 2) z) (*.f64 (+.f64 1/2 y) x)))))
(*.f64 (+.f64 1/2 y) x)
(if (<=.f64 y -1/2) (.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)) -1000000000000000013946113804119924437974165856986638331112094170909680489426130543638408513078605724209795153399497011464465488473637220910340574757582946907032347746826714825234078949864321840610832155574248213693581484614981956096327942144) (.f64 (+.f64 1/2 y) x) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) -9500000000000000154371471042398661874745168968476622389804440289173510703315160158484413952676159886445815564188284505293225027322075300809095587826540211586467863485145725089329889599133035475612205056) (+.f64 (/.f64 x 2) z) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) -200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (.f64 (+.f64 1/2 y) x) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 y x)) 99999999999999998278261272554585856747747644714015897553975120217811154108416) (+.f64 (/.f64 x 2) z) (*.f64 (+.f64 1/2 y) x)))))
(if (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -1000000000000000013946113804119924437974165856986638331112094170909680489426130543638408513078605724209795153399497011464465488473637220910340574757582946907032347746826714825234078949864321840610832155574248213693581484614981956096327942144) (.f64 x (+.f64 y 1/2)) (if (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -9500000000000000154371471042398661874745168968476622389804440289173510703315160158484413952676159886445815564188284505293225027322075300809095587826540211586467863485145725089329889599133035475612205056) (+.f64 (/.f64 x 2) z) (if (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 99999999999999998278261272554585856747747644714015897553975120217811154108416))) (.f64 x (+.f64 y 1/2)) (+.f64 (/.f64 x 2) z))))
(if (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -1000000000000000013946113804119924437974165856986638331112094170909680489426130543638408513078605724209795153399497011464465488473637220910340574757582946907032347746826714825234078949864321840610832155574248213693581484614981956096327942144) (.f64 x (+.f64 y 1/2)) (if (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -9500000000000000154371471042398661874745168968476622389804440289173510703315160158484413952676159886445815564188284505293225027322075300809095587826540211586467863485145725089329889599133035475612205056) (not (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 99999999999999998278261272554585856747747644714015897553975120217811154108416))))) (+.f64 (/.f64 x 2) z) (.f64 x (+.f64 y 1/2))))
(if (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -1000000000000000013946113804119924437974165856986638331112094170909680489426130543638408513078605724209795153399497011464465488473637220910340574757582946907032347746826714825234078949864321840610832155574248213693581484614981956096327942144) (not (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -9500000000000000154371471042398661874745168968476622389804440289173510703315160158484413952676159886445815564188284505293225027322075300809095587826540211586467863485145725089329889599133035475612205056) (not (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 99999999999999998278261272554585856747747644714015897553975120217811154108416))))))) (*.f64 x (+.f64 y 1/2)) (+.f64 (/.f64 x 2) z))
(if (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -1000000000000000013946113804119924437974165856986638331112094170909680489426130543638408513078605724209795153399497011464465488473637220910340574757582946907032347746826714825234078949864321840610832155574248213693581484614981956096327942144) (not (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -9500000000000000154371471042398661874745168968476622389804440289173510703315160158484413952676159886445815564188284505293225027322075300809095587826540211586467863485145725089329889599133035475612205056) (and (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048)) (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 99999999999999998278261272554585856747747644714015897553975120217811154108416))))) (*.f64 x (+.f64 y 1/2)) (+.f64 (/.f64 x 2) z))
(if (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -1000000000000000013946113804119924437974165856986638331112094170909680489426130543638408513078605724209795153399497011464465488473637220910340574757582946907032347746826714825234078949864321840610832155574248213693581484614981956096327942144) (and (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -9500000000000000154371471042398661874745168968476622389804440289173510703315160158484413952676159886445815564188284505293225027322075300809095587826540211586467863485145725089329889599133035475612205056)) (or (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) -200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048) (not (<=.f64 (+.f64 (/.f64 x 2) (.f64 x y)) 99999999999999998278261272554585856747747644714015897553975120217811154108416))))) (*.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 -1/2) (.f64 y x) (if (<=.f64 y 1/2) (.f64 1/2 x) (*.f64 y x)))
(if (<=.f64 y -1/2) (.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 112 to 74 computations (33.9% saved)

soundness18.0ms (0.8%)

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%)

preprocess60.0ms (2.7%)

Compiler: Compiled 218 to 130 computations (40.4% saved)

analyze0.0ms (0%)

sample1.3s (59.9%)

preprocess180.0ms (8.1%)

simplify3.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize53.0ms (2.4%)

series11.0ms (0.5%)

rewrite57.0ms (2.6%)

simplify59.0ms (2.7%)

eval11.0ms (0.5%)

prune8.0ms (0.4%)

localize41.0ms (1.8%)

series2.0ms (0.1%)

rewrite56.0ms (2.5%)

simplify57.0ms (2.5%)

eval19.0ms (0.9%)

prune12.0ms (0.5%)

localize33.0ms (1.5%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes28.0ms (1.3%)

regimes25.0ms (1.1%)

regimes63.0ms (2.8%)

regimes11.0ms (0.5%)

regimes30.0ms (1.3%)

regimes8.0ms (0.4%)

bsearch1.0ms (0%)

bsearch29.0ms (1.3%)

simplify11.0ms (0.5%)

soundness18.0ms (0.8%)

end0.0ms (0%)

preprocess60.0ms (2.7%)

Profiling