Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, C

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 19 to 10 computations (47.4% saved)

sample1.7s (61.9%)

Results

763.0ms	4990×	body	256	valid
234.0ms	417×	body	2048	valid
224.0ms	1267×	body	256	infinite
200.0ms	698×	body	1024	valid
99.0ms	177×	body	1024	infinite
86.0ms	467×	body	512	valid
48.0ms	240×	body	512	infinite

Bogosity

preprocess179.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

1550×	`sub-neg`
1116×	`unsub-neg`
1008×	`fma-def`
792×	`distribute-lft-out`
704×	`distribute-rgt-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	263
1	180	195
2	582	175
3	2364	95
4	5194	95
5	6155	95
6	6575	95
7	6669	95
8	6704	95
9	6710	95
10	6977	95
11	7241	95
12	7979	95

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (-.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (-.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y)))
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y (neg.f64 z))) (.f64 y y))
(-.f64 (-.f64 (+.f64 (.f64 y x) (.f64 x x)) (.f64 x z)) (.f64 x x))
(-.f64 (-.f64 (+.f64 (.f64 z y) (.f64 y y)) (.f64 y x)) (.f64 y y))
(-.f64 (-.f64 (+.f64 (.f64 x z) (.f64 z z)) (.f64 z y)) (.f64 z z))

Outputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y z)))
(*.f64 y (-.f64 (+.f64 y (-.f64 x z)) y))
(*.f64 y (-.f64 x z))
(-.f64 (-.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (.f64 y (+.f64 (neg.f64 x) y)) (.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (fma.f64 -1 x y) (+.f64 y z)))
(*.f64 y (-.f64 (-.f64 y x) (+.f64 y z)))
(*.f64 y (-.f64 (neg.f64 x) z))
(*.f64 y (neg.f64 (+.f64 x z)))
(-.f64 (-.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y)))
(-.f64 (+.f64 (.f64 y (+.f64 (neg.f64 x) y)) (.f64 y z)) (*.f64 y y))
(*.f64 y (-.f64 (+.f64 y z) (+.f64 x y)))
(*.f64 y (-.f64 (+.f64 y (-.f64 z x)) y))
(*.f64 y (-.f64 z x))
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y (neg.f64 z))) (.f64 y y))
(-.f64 (.f64 y (+.f64 x y)) (+.f64 (.f64 y (neg.f64 z)) (*.f64 y y)))
(-.f64 (.f64 y (+.f64 x y)) (.f64 y (-.f64 y z)))
(*.f64 y (-.f64 (+.f64 x y) (-.f64 y z)))
(*.f64 y (+.f64 x z))
(-.f64 (-.f64 (+.f64 (.f64 y x) (.f64 x x)) (.f64 x z)) (.f64 x x))
(-.f64 (.f64 x (+.f64 y x)) (+.f64 (.f64 x z) (*.f64 x x)))
(-.f64 (.f64 x (+.f64 x y)) (.f64 x (+.f64 x z)))
(*.f64 x (-.f64 (+.f64 x y) (+.f64 x z)))
(*.f64 x (-.f64 y z))
(-.f64 (-.f64 (+.f64 (.f64 z y) (.f64 y y)) (.f64 y x)) (.f64 y y))
(-.f64 (+.f64 (.f64 y (+.f64 (neg.f64 x) y)) (.f64 y z)) (*.f64 y y))
(*.f64 y (-.f64 (+.f64 y z) (+.f64 x y)))
(*.f64 y (-.f64 (+.f64 y (-.f64 z x)) y))
(*.f64 y (-.f64 z x))
(-.f64 (-.f64 (+.f64 (.f64 x z) (.f64 z z)) (.f64 z y)) (.f64 z z))
(-.f64 (-.f64 (.f64 z (+.f64 x z)) (.f64 y z)) (*.f64 z z))
(-.f64 (.f64 z (+.f64 x z)) (.f64 z (+.f64 y z)))
(*.f64 z (-.f64 (+.f64 x z) (+.f64 y z)))
(*.f64 z (-.f64 x y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify124.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1528×	`sub-neg`
1166×	`distribute-lft-out`
982×	`unsub-neg`
908×	`associate--l-`
824×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	32	31
2	92	25
3	261	13
4	699	13
5	2313	13
6	4167	13
7	4615	13
8	5093	13
9	5423	13
10	5513	13
11	6118	13
12	7423	13

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

Outputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (.f64 y (+.f64 x y)) (+.f64 (.f64 y z) (*.f64 y y)))
(-.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (-.f64 (+.f64 x y) z) y))
(*.f64 y (-.f64 x z))

eval1.0ms (0%)

Compiler: Compiled 56 to 21 computations (62.5% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Accurracy

100.0%

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 y (-.f64 x z))
▶	100.0%	(*.f64 y (-.f64 x z))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize30.0ms (1.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite53.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`pow1`
1520×	`add-exp-log`
1520×	`log1p-expm1-u`
1520×	`expm1-log1p-u`
1488×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	2025	13

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

simplify60.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1376×	`fma-def`
1306×	`log-prod`
792×	`unsub-neg`
750×	`associate-r`
650×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	611
1	168	611
2	519	611
3	3087	611
4	6399	611

Stop Event

1×	node limit

Counts

43 → 28

Calls

Call 1

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

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

eval5.0ms (0.2%)

Compiler: Compiled 275 to 113 computations (58.9% saved)

prune5.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Accurracy

100.0%

Counts

29 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 y (-.f64 x z))
▶	52.9%	(*.f64 y (neg.f64 z))
▶	56.6%	(*.f64 y x)
✓	100.0%	(*.f64 y (-.f64 x z))
▶	52.9%	(*.f64 y (neg.f64 z))
▶	56.6%	(*.f64 y x)

Compiler

Compiled 42 to 28 computations (33.3% saved)

localize32.0ms (1.2%)

Compiler: Compiled 17 to 7 computations (58.8% 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 y (-.f64 x z))
✓	52.9%	(*.f64 y (neg.f64 z))
✓	56.6%	(*.f64 y x)

Compiler

Compiled 51 to 28 computations (45.1% saved)

regimes16.0ms (0.6%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 y (-.f64 x z))

Calls

4 calls:

4.0ms	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
4.0ms	x
4.0ms	z
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 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`

Compiler

Compiled 60 to 32 computations (46.7% saved)

regimes47.0ms (1.7%)

Counts

2 → 3

Calls

Call 1

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

Outputs
(*.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 y x)

Calls

3 calls:

20.0ms	y
17.0ms	z
9.0ms	x

Results

Accuracy	Segments	Branch
81.9%	3	`x`
67.6%	7	`y`
81.2%	5	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y x)

Outputs
(*.f64 y x)

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
56.6%	1	`y`
56.6%	1	`z`
56.6%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch32.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.0087869579981683e-34	8.669277540808541e-33
16.0ms	-6.859981672155721e-9	-5.3917764355247236e-11

Results

15.0ms	140×	body	256	valid
6.0ms	26×	body	1024	valid
4.0ms	25×	body	512	valid
2.0ms	23×	body	256	infinite
1.0ms	3×	body	2048	valid
1.0ms	5×	body	512	infinite
0.0ms	2×	body	1024	infinite

Compiler

Compiled 234 to 168 computations (28.2% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
8×	`sub-neg`
8×	`+-commutative`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	63
1	35	63
2	44	63
3	50	63
4	53	63
5	54	63

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(*.f64 y (-.f64 x z))

(if (<=.f64 x -5415987671873539/9671406556917033397649408) (*.f64 y x) (if (<=.f64 x 3507603929594167/730750818665451459101842416358141509827966271488) (*.f64 y (neg.f64 z)) (*.f64 y x)))

(*.f64 y x)

Outputs

(*.f64 y (-.f64 x z))

(if (<=.f64 x -5415987671873539/9671406556917033397649408) (*.f64 y x) (if (<=.f64 x 3507603929594167/730750818665451459101842416358141509827966271488) (*.f64 y (neg.f64 z)) (*.f64 y x)))

(*.f64 y x)

Compiler

Compiled 35 to 21 computations (40% saved)

soundness348.0ms (12.9%)

Rules

1528×	`sub-neg`
1376×	`fma-def`
1306×	`log-prod`
1166×	`distribute-lft-out`
982×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	32	31
2	92	25
3	261	13
4	699	13
5	2313	13
6	4167	13
7	4615	13
8	5093	13
9	5423	13
10	5513	13
11	6118	13
12	7423	13
0	69	611
1	168	611
2	519	611
3	3087	611
4	6399	611

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 122 to 34 computations (72.1% saved)

end0.0ms (0%)

preprocess73.0ms (2.7%)

Compiler: Compiled 110 to 56 computations (49.1% saved)

analyze0.0ms (0%)

sample1.7s (61.9%)

preprocess179.0ms (6.7%)

simplify124.0ms (4.6%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize30.0ms (1.1%)

series3.0ms (0.1%)

rewrite53.0ms (2%)

simplify60.0ms (2.2%)

eval5.0ms (0.2%)

prune5.0ms (0.2%)

localize32.0ms (1.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes16.0ms (0.6%)

regimes47.0ms (1.7%)

regimes8.0ms (0.3%)

bsearch32.0ms (1.2%)

simplify6.0ms (0.2%)

soundness348.0ms (12.9%)

end0.0ms (0%)

preprocess73.0ms (2.7%)

Profiling