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)

sample1.0s (54.9%)

Results

762.0ms	5946×	body	256	valid
197.0ms	2310×	body	256	infinite

Bogosity

preprocess78.0ms (4.2%)

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	84
1	74	76
2	171	76
3	552	76
4	1319	76
5	2494	76
6	2759	76
7	2819	76
8	2819	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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 (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 13 to 9 computations (30.8% saved)

simplify39.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1232×	`fma-def`
158×	`associate-r`
124×	`distribute-lft-in`
116×	`fma-neg`
116×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	21	19
2	46	19
3	105	19
4	212	19
5	296	19
6	502	19
7	860	19
8	1255	19
9	1443	19
10	1493	19

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Accurracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize59.0ms (3.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite119.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`pow1`
1704×	`add-exp-log`
1702×	`log1p-expm1-u`
1702×	`expm1-log1p-u`
1672×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2280	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

simplify59.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1478×	`log-prod`
1154×	`associate-r`
982×	`associate-l`
540×	`associate-+l+`
534×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	1137
1	202	857
2	689	857
3	3964	857

Stop Event

1×	node limit

Counts

43 → 32

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

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

eval8.0ms (0.4%)

Compiler: Compiled 367 to 201 computations (45.2% saved)

prune6.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Accurracy

100.0%

Counts

33 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 2 x))
▶	55.1%	(.f64 x (.f64 x 2))
▶	61.7%	(.f64 x (.f64 -2 y))
✓	100.0%	(.f64 (-.f64 x y) (.f64 2 x))
▶	55.1%	(.f64 x (.f64 x 2))
▶	61.7%	(.f64 x (.f64 -2 y))

Compiler

Compiled 46 to 32 computations (30.4% saved)

localize38.0ms (2.1%)

Compiler: Compiled 24 to 15 computations (37.5% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 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 (-.f64 x y) (.f64 2 x))
✓	55.1%	(.f64 x (.f64 x 2))
✓	61.7%	(.f64 x (.f64 -2 y))

Compiler

Compiled 51 to 33 computations (35.3% saved)

regimes20.0ms (1.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
4.0ms	x
4.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
3.0ms	(-.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 54 to 33 computations (38.9% saved)

regimes27.0ms (1.5%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
80.7%	3	`x`
88.0%	5	`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 x (.f64 -2 y))

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
61.7%	1	`x`
61.7%	1	`y`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch45.0ms (2.4%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.2845748516776482e+126	1.3910912712588284e+127
9.0ms	1.1142700886942532e+100	4.442628940059363e+100
13.0ms	3.5930090947828464e-12	3.097334409616473e-8
13.0ms	-1.0162883704093513e-33	-9.84118632879022e-35

Results

27.0ms	307×	body	256	valid
11.0ms	93×	body	256	infinite

Compiler

Compiled 416 to 311 computations (25.2% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
8×	`not-or`
6×	`not-not`
6×	`if-if-or-not`
6×	`if-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	127
1	41	121
2	49	115
3	57	111
4	62	111
5	66	111
6	67	111
7	68	111

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y -5553706221857431/5846006549323611672814739330865132078623730171904) (*.f64 x (*.f64 -2 y)) (if (<=.f64 y 870426590122533/19342813113834066795298816) (*.f64 x (*.f64 x 2)) (if (<=.f64 y 44000000000000001476794765719728022428572320410766800772000576874946299098274640563140982019853385728) (*.f64 x (*.f64 -2 y)) (if (<=.f64 y 1299999999999999977481452753453409947771451228044074875892835328959118322601842023614801345559133140715357024250350688989609984) (*.f64 x (*.f64 x 2)) (*.f64 x (*.f64 -2 y))))))

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

Outputs
(.f64 (-.f64 x y) (.f64 2 x))
(.f64 (-.f64 x y) (.f64 x 2))
(if (<=.f64 y -5553706221857431/5846006549323611672814739330865132078623730171904) (.f64 x (.f64 -2 y)) (if (<=.f64 y 870426590122533/19342813113834066795298816) (.f64 x (.f64 x 2)) (if (<=.f64 y 44000000000000001476794765719728022428572320410766800772000576874946299098274640563140982019853385728) (.f64 x (.f64 -2 y)) (if (<=.f64 y 1299999999999999977481452753453409947771451228044074875892835328959118322601842023614801345559133140715357024250350688989609984) (.f64 x (.f64 x 2)) (.f64 x (.f64 -2 y))))))
(if (<=.f64 y -5553706221857431/5846006549323611672814739330865132078623730171904) (.f64 x (.f64 y -2)) (if (<=.f64 y 870426590122533/19342813113834066795298816) (.f64 x (.f64 x 2)) (if (or (<=.f64 y 44000000000000001476794765719728022428572320410766800772000576874946299098274640563140982019853385728) (not (<=.f64 y 1299999999999999977481452753453409947771451228044074875892835328959118322601842023614801345559133140715357024250350688989609984))) (.f64 x (.f64 y -2)) (.f64 x (.f64 x 2)))))
(if (<=.f64 y -5553706221857431/5846006549323611672814739330865132078623730171904) (.f64 x (.f64 y -2)) (if (or (<=.f64 y 870426590122533/19342813113834066795298816) (not (or (<=.f64 y 44000000000000001476794765719728022428572320410766800772000576874946299098274640563140982019853385728) (not (<=.f64 y 1299999999999999977481452753453409947771451228044074875892835328959118322601842023614801345559133140715357024250350688989609984))))) (.f64 x (.f64 x 2)) (.f64 x (.f64 y -2))))
(if (or (<=.f64 y -5553706221857431/5846006549323611672814739330865132078623730171904) (not (or (<=.f64 y 870426590122533/19342813113834066795298816) (not (or (<=.f64 y 44000000000000001476794765719728022428572320410766800772000576874946299098274640563140982019853385728) (not (<=.f64 y 1299999999999999977481452753453409947771451228044074875892835328959118322601842023614801345559133140715357024250350688989609984))))))) (.f64 x (.f64 y -2)) (.f64 x (.f64 x 2)))
(if (or (<=.f64 y -5553706221857431/5846006549323611672814739330865132078623730171904) (not (or (<=.f64 y 870426590122533/19342813113834066795298816) (and (not (<=.f64 y 44000000000000001476794765719728022428572320410766800772000576874946299098274640563140982019853385728)) (<=.f64 y 1299999999999999977481452753453409947771451228044074875892835328959118322601842023614801345559133140715357024250350688989609984))))) (.f64 x (.f64 y -2)) (.f64 x (.f64 x 2)))
(if (or (<=.f64 y -5553706221857431/5846006549323611672814739330865132078623730171904) (and (not (<=.f64 y 870426590122533/19342813113834066795298816)) (or (<=.f64 y 44000000000000001476794765719728022428572320410766800772000576874946299098274640563140982019853385728) (not (<=.f64 y 1299999999999999977481452753453409947771451228044074875892835328959118322601842023614801345559133140715357024250350688989609984))))) (.f64 x (.f64 y -2)) (.f64 x (.f64 x 2)))
(.f64 x (.f64 -2 y))
(.f64 x (.f64 y -2))

Compiler

Compiled 46 to 33 computations (28.3% saved)

soundness248.0ms (13.4%)

Rules

1478×	`log-prod`
1478×	`log-prod`
1232×	`fma-def`
1154×	`associate-r`
1154×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	21	19
2	46	19
3	105	19
4	212	19
5	296	19
6	502	19
7	860	19
8	1255	19
9	1443	19
10	1493	19
0	71	1137
1	202	857
2	689	857
3	3964	857
0	71	1137
1	202	857
2	689	857
3	3964	857

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 81 to 49 computations (39.5% saved)

end0.0ms (0%)

preprocess68.0ms (3.7%)

Compiler: Compiled 124 to 84 computations (32.3% saved)

analyze0.0ms (0%)

sample1.0s (54.9%)

preprocess78.0ms (4.2%)

simplify39.0ms (2.1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize59.0ms (3.2%)

series3.0ms (0.2%)

rewrite119.0ms (6.4%)

simplify59.0ms (3.2%)

eval8.0ms (0.4%)

prune6.0ms (0.3%)

localize38.0ms (2.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes20.0ms (1.1%)

regimes27.0ms (1.5%)

regimes6.0ms (0.3%)

bsearch45.0ms (2.4%)

simplify9.0ms (0.5%)

soundness248.0ms (13.4%)

end0.0ms (0%)

preprocess68.0ms (3.7%)

Profiling