Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

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 12 to 8 computations (33.3% saved)

sample1.1s (50.2%)

Results

747.0ms	5981×	body	256	valid
302.0ms	2275×	body	256	infinite

Bogosity

preprocess113.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

2344×	`fma-def`
306×	`unsub-neg`
300×	`associate-r`
254×	`distribute-lft-in`
188×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	103
1	74	95
2	171	95
3	552	95
4	1319	95
5	2494	95
6	2759	95
7	2819	95
8	2819	95

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(.f64 2 (-.f64 (.f64 x x) (*.f64 x (neg.f64 y))))
(.f64 2 (-.f64 (.f64 y y) (*.f64 y x)))

Outputs
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 2 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(.f64 2 (.f64 x (-.f64 x (neg.f64 y))))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 2 (-.f64 (.f64 x x) (*.f64 x (neg.f64 y))))
(.f64 2 (.f64 x (-.f64 x (neg.f64 y))))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 2 (-.f64 (.f64 y y) (*.f64 y x)))
(.f64 2 (.f64 y (-.f64 y x)))
(.f64 (.f64 2 y) (-.f64 y x))
(.f64 (.f64 y -2) (-.f64 x y))
(.f64 (-.f64 x y) (.f64 y -2))

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 2 (.f64 x (-.f64 x y)))
▶	100.0%	(.f64 2 (.f64 x (-.f64 x y)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize29.0ms (1.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 2 (.f64 x (-.f64 x y)))

Compiler

Compiled 21 to 8 computations (61.9% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`pow1`
1710×	`add-exp-log`
1708×	`log1p-expm1-u`
1708×	`expm1-log1p-u`
1678×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2285	19

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(.f64 2 (.f64 x (-.f64 x y)))

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

simplify57.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1188×	`associate-r`
1040×	`associate-l`
976×	`log-prod`
508×	`associate-+r+`
456×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	999
1	176	999
2	607	743
3	4032	743

Stop Event

1×	node limit

Counts

39 → 27

Calls

Call 1

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

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

eval5.0ms (0.3%)

Compiler: Compiled 308 to 159 computations (48.4% saved)

prune6.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	3	28

Accuracy

100.0%

Counts

28 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 x 2) (-.f64 x y))
▶	59.7%	(.f64 x (.f64 x 2))
▶	57.1%	(.f64 -2 (.f64 x y))
▶	100.0%	(.f64 (.f64 x 2) (-.f64 x y))
▶	59.7%	(.f64 x (.f64 x 2))
▶	57.1%	(.f64 -2 (.f64 x y))

Compiler

Compiled 46 to 32 computations (30.4% saved)

localize47.0ms (2.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 -2 (.f64 x y))

Compiler

Compiled 40 to 20 computations (50% saved)

series4.0ms (0.2%)

Counts

1 → 0

Calls

6 calls:

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

rewrite53.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`pow1`
1198×	`add-exp-log`
1198×	`log1p-expm1-u`
1198×	`expm1-log1p-u`
1172×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	141	13
2	1634	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 -2 (.f64 x y))

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

simplify53.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2070×	`log-prod`
864×	`*-commutative`
752×	`associate-r`
696×	`exp-sum`
646×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	275
1	91	209
2	335	143
3	2195	143
4	5998	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (.f64 -2 (.f64 x y))) 1)
(+.f64 1 (-.f64 (.f64 -2 (.f64 x y)) 1))
(+.f64 (.f64 -2 (.f64 x y)) 0)
(.f64 -2 (.f64 x y))
(pow.f64 (.f64 -2 (.f64 x y)) 1)
(+.f64 1 (-.f64 (.f64 -2 (.f64 x y)) 1))
(+.f64 (.f64 -2 (.f64 x y)) 0)
(.f64 -2 (.f64 x y))
(pow.f64 (cbrt.f64 (.f64 -2 (.f64 x y))) 3)
(+.f64 1 (-.f64 (.f64 -2 (.f64 x y)) 1))
(+.f64 (.f64 -2 (.f64 x y)) 0)
(.f64 -2 (.f64 x y))
(pow.f64 (pow.f64 (.f64 -2 (.f64 x y)) 3) 1/3)
(+.f64 1 (-.f64 (.f64 -2 (.f64 x y)) 1))
(+.f64 (.f64 -2 (.f64 x y)) 0)
(.f64 -2 (.f64 x y))
(pow.f64 (sqrt.f64 (.f64 -2 (.f64 x y))) 2)
(+.f64 1 (-.f64 (.f64 -2 (.f64 x y)) 1))
(+.f64 (.f64 -2 (.f64 x y)) 0)
(.f64 -2 (.f64 x y))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 4))
(+.f64 1 (-.f64 (.f64 -2 (.f64 x y)) 1))
(+.f64 (.f64 -2 (.f64 x y)) 0)
(.f64 -2 (.f64 x y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) x) -2))
(+.f64 1 (-.f64 (.f64 -2 (.f64 x y)) 1))
(+.f64 (.f64 -2 (.f64 x y)) 0)
(.f64 -2 (.f64 x y))
(cbrt.f64 (pow.f64 (.f64 -2 (.f64 x y)) 3))
(+.f64 1 (-.f64 (.f64 -2 (.f64 x y)) 1))
(+.f64 (.f64 -2 (.f64 x y)) 0)
(.f64 -2 (.f64 x y))
(expm1.f64 (log1p.f64 (.f64 -2 (.f64 x y))))
(+.f64 1 (-.f64 (.f64 -2 (.f64 x y)) 1))
(+.f64 (.f64 -2 (.f64 x y)) 0)
(.f64 -2 (.f64 x y))
(exp.f64 (log.f64 (.f64 -2 (.f64 x y))))
(+.f64 1 (-.f64 (.f64 -2 (.f64 x y)) 1))
(+.f64 (.f64 -2 (.f64 x y)) 0)
(.f64 -2 (.f64 x y))
(log1p.f64 (expm1.f64 (.f64 -2 (.f64 x y))))
(+.f64 1 (-.f64 (.f64 -2 (.f64 x y)) 1))
(+.f64 (.f64 -2 (.f64 x y)) 0)
(.f64 -2 (.f64 x y))

eval3.0ms (0.1%)

Compiler: Compiled 108 to 68 computations (37% saved)

prune4.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	14	3	17

Accuracy

100.0%

Counts

17 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (.f64 x 2) (-.f64 x y))
✓	59.7%	(.f64 x (.f64 x 2))
✓	57.1%	(.f64 -2 (.f64 x y))

Compiler

Compiled 58 to 35 computations (39.7% saved)

regimes30.0ms (1.4%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 -2 (.f64 x y))
(.f64 x (.f64 x 2))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 (.f64 x 2) (-.f64 x y))

Calls

4 calls:

16.0ms	x
5.0ms	(-.f64 (.f64 x x) (.f64 x y))
4.0ms	y
4.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 61 to 35 computations (42.6% saved)

regimes9.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 -2 (.f64 x y))
(.f64 x (.f64 x 2))
(.f64 2 (.f64 x (-.f64 x y)))

Outputs
(.f64 2 (.f64 x (-.f64 x y)))

Calls

2 calls:

5.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes26.0ms (1.2%)

Counts

2 → 3

Calls

Call 1

Inputs
(.f64 -2 (.f64 x y))
(.f64 x (.f64 x 2))

Outputs
(.f64 x (.f64 x 2))
(.f64 -2 (.f64 x y))
(.f64 x (.f64 x 2))

Calls

2 calls:

14.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
84.4%	3	`x`
87.1%	5	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes8.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 -2 (.f64 x y))

Outputs
(.f64 -2 (.f64 x y))

Calls

2 calls:

5.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
57.1%	1	`y`
57.1%	1	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch102.0ms (4.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
85.0ms	1.294658975623178e+58	7.934723935183926e+63
17.0ms	-2.085243819503973e-108	-5.368117104304034e-119

Results

97.0ms	290×	body	256	valid
1.0ms	14×	body	256	infinite

Compiler

Compiled 320 to 239 computations (25.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
2×	`neg-mul-1`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	102
1	38	102
2	43	102
3	45	102
4	46	102

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 x 2) (-.f64 x y))
(.f64 2 (.f64 x (-.f64 x y)))
(if (<=.f64 x -1164304656710889/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 x (.f64 x 2)) (if (<=.f64 x 54000000000000004403143769571796424107466677842199825860263936) (.f64 -2 (.f64 x y)) (.f64 x (.f64 x 2))))
(.f64 -2 (.f64 x y))

Outputs
(.f64 (.f64 x 2) (-.f64 x y))
(.f64 2 (.f64 x (-.f64 x y)))
(if (<=.f64 x -1164304656710889/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (.f64 x (.f64 x 2)) (if (<=.f64 x 54000000000000004403143769571796424107466677842199825860263936) (.f64 -2 (.f64 x y)) (.f64 x (.f64 x 2))))
(if (or (<=.f64 x -1164304656710889/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (not (<=.f64 x 54000000000000004403143769571796424107466677842199825860263936))) (.f64 x (.f64 x 2)) (.f64 -2 (.f64 x y)))
(.f64 -2 (.f64 x y))

Compiler

Compiled 46 to 32 computations (30.4% saved)

soundness368.0ms (17.4%)

Rules

2344×	`fma-def`
1188×	`associate-r`
1188×	`associate-r`
1040×	`associate-l`
1040×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	103
1	74	95
2	171	95
3	552	95
4	1319	95
5	2494	95
6	2759	95
7	2819	95
8	2819	95
0	63	999
1	176	999
2	607	743
3	4032	743
0	63	999
1	176	999
2	607	743
3	4032	743

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 156 to 98 computations (37.2% saved)

end0.0ms (0%)

preprocess61.0ms (2.9%)

Compiler: Compiled 120 to 74 computations (38.3% saved)

analyze0.0ms (0%)

sample1.1s (50.2%)

preprocess113.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize29.0ms (1.4%)

series3.0ms (0.1%)

rewrite62.0ms (2.9%)

simplify57.0ms (2.7%)

eval5.0ms (0.3%)

prune6.0ms (0.3%)

localize47.0ms (2.2%)

series4.0ms (0.2%)

rewrite53.0ms (2.5%)

simplify53.0ms (2.5%)

eval3.0ms (0.1%)

prune4.0ms (0.2%)

regimes30.0ms (1.4%)

regimes9.0ms (0.4%)

regimes26.0ms (1.2%)

regimes8.0ms (0.4%)

bsearch102.0ms (4.8%)

simplify7.0ms (0.3%)

soundness368.0ms (17.4%)

end0.0ms (0%)

preprocess61.0ms (2.9%)

Profiling