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

analyze1.0ms (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)

sample1.0s (51.4%)

Results

794.0ms	5980×	body	256	valid
241.0ms	2276×	body	256	infinite

Bogosity

preprocess102.0ms (5%)

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 (0.1%)

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)

localize31.0ms (1.5%)

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)))
1.0ms	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)))

rewrite68.0ms (3.4%)

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)))))

simplify64.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1178×	`associate-r`
1046×	`associate-l`
976×	`log-prod`
512×	`associate-+r+`
456×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	999
1	177	935
2	612	743
3	4016	743

Stop Event

1×	node limit

Counts

39 → 28

Calls

Call 1

Inputs
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.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 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 x 2))
(.f64 2 (.f64 x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 x 2))
(.f64 2 (.f64 x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 x 2))
(.f64 2 (.f64 x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 y x))) (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(/.f64 (.f64 (.f64 x 2) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 y x))))
(.f64 (/.f64 2 (fma.f64 y (+.f64 y x) (.f64 x x))) (*.f64 x (-.f64 (pow.f64 x 3) (pow.f64 y 3))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 (/.f64 2 (fma.f64 y (+.f64 y x) (*.f64 x x))) x))
(/.f64 (.f64 (.f64 2 x) (-.f64 (.f64 x x) (.f64 y y))) (+.f64 x y))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.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 x) (.f64 -2 (*.f64 y x)))
(.f64 x (+.f64 (.f64 -2 y) (*.f64 x 2)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (.f64 x 2) (-.f64 x y))

eval7.0ms (0.4%)

Compiler: Compiled 312 to 164 computations (47.4% saved)

prune5.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	3	29

Accuracy

100.0%

Counts

29 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (.f64 x 2) (-.f64 x y))
▶	59.1%	(.f64 x (.f64 x 2))
▶	56.9%	(.f64 -2 (.f64 y x))
▶	100.0%	(.f64 (.f64 x 2) (-.f64 x y))
▶	59.1%	(.f64 x (.f64 x 2))
▶	56.9%	(.f64 -2 (.f64 y x))

Compiler

Compiled 46 to 32 computations (30.4% saved)

localize61.0ms (3%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 40 to 20 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

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

rewrite57.0ms (2.8%)

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 y x))

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

simplify54.0ms (2.6%)

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

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

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))
✓	59.1%	(.f64 x (.f64 x 2))
✓	56.9%	(.f64 -2 (.f64 y x))

Compiler

Compiled 58 to 36 computations (37.9% saved)

regimes87.0ms (4.3%)

Counts

5 → 1

Calls

Call 1

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

73.0ms	x
5.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
4.0ms	y
4.0ms	(-.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 36 computations (41% saved)

regimes8.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 25 to 16 computations (36% saved)

regimes34.0ms (1.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
82.3%	3	`x`
85.9%	3	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes6.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
56.9%	1	`x`
56.9%	1	`y`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch29.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	8.180900381069547e+41	7.005805711776481e+55
12.0ms	-2.4545531486314768e+95	-7.519198617054699e+94

Results

19.0ms	173×	body	256	valid
7.0ms	67×	body	256	infinite

Compiler

Compiled 256 to 191 computations (25.4% 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 y -75999999999999992643802360237968162601531671897059865195336218750612986149518035703532678545408) (.f64 -2 (.f64 y x)) (if (<=.f64 y 25999999999999998868362043562994043738393094914048) (.f64 x (.f64 x 2)) (.f64 -2 (.f64 y x))))
(.f64 -2 (.f64 y x))

Outputs
(.f64 (.f64 x 2) (-.f64 x y))
(.f64 2 (.f64 x (-.f64 x y)))
(if (<=.f64 y -75999999999999992643802360237968162601531671897059865195336218750612986149518035703532678545408) (.f64 -2 (.f64 y x)) (if (<=.f64 y 25999999999999998868362043562994043738393094914048) (.f64 x (.f64 x 2)) (.f64 -2 (.f64 y x))))
(if (or (<=.f64 y -75999999999999992643802360237968162601531671897059865195336218750612986149518035703532678545408) (not (<=.f64 y 25999999999999998868362043562994043738393094914048))) (.f64 -2 (.f64 x y)) (.f64 x (.f64 x 2)))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 x y))

Compiler

Compiled 46 to 32 computations (30.4% saved)

soundness298.0ms (14.6%)

Rules

2344×	`fma-def`
1178×	`associate-r`
1178×	`associate-r`
1046×	`associate-l`
1046×	`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	177	935
2	612	743
3	4016	743
0	63	999
1	177	935
2	612	743
3	4016	743

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 134 to 83 computations (38.1% saved)

end0.0ms (0%)

preprocess56.0ms (2.8%)

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

analyze1.0ms (0%)

sample1.0s (51.4%)

preprocess102.0ms (5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize31.0ms (1.5%)

series3.0ms (0.1%)

rewrite68.0ms (3.4%)

simplify64.0ms (3.2%)

eval7.0ms (0.4%)

prune5.0ms (0.3%)

localize61.0ms (3%)

series3.0ms (0.1%)

rewrite57.0ms (2.8%)

simplify54.0ms (2.6%)

eval3.0ms (0.1%)

prune4.0ms (0.2%)

regimes87.0ms (4.3%)

regimes8.0ms (0.4%)

regimes34.0ms (1.7%)

regimes6.0ms (0.3%)

bsearch29.0ms (1.4%)

simplify7.0ms (0.3%)

soundness298.0ms (14.6%)

end0.0ms (0%)

preprocess56.0ms (2.8%)

Profiling