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

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)

sample973.0ms (50.6%)

Results

593.0ms	5960×	body	256	valid
367.0ms	2296×	body	256	infinite

Bogosity

preprocess97.0ms (5%)

Algorithm

1×	egg-herbie

Rules

2140×	`fma-def`
254×	`associate-r`
248×	`unsub-neg`
210×	`distribute-lft-in`
180×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	84
1	78	76
2	202	76
3	532	76
4	1063	76
5	1938	76
6	2351	76
7	2520	76
8	2611	76
9	2628	76
10	2631	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 x (.f64 2 (+.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 x (.f64 -2 (-.f64 y x)))
(.f64 x (.f64 (-.f64 y x) -2))
(.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 x (.f64 -2 (-.f64 y x)))
(.f64 x (.f64 (-.f64 y x) -2))
(.f64 2 (+.f64 (.f64 y y) (*.f64 y x)))
(.f64 2 (.f64 y (+.f64 y x)))
(.f64 2 (.f64 y (+.f64 x y)))
(.f64 y (.f64 2 (+.f64 x y)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

34×	`fma-def`
26×	`*-commutative`
10×	`associate-r`
10×	`associate-l`
8×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	22	19
2	45	19
3	77	19
4	81	19

Stop Event

1×

saturated

Counts

1 → 2

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)))

eval0.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

100.0%

Counts

3 → 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)

localize24.0ms (1.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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	x	@	-inf	(.f64 2 (.f64 x (+.f64 x y)))
0.0ms	y	@	inf	(.f64 2 (.f64 x (+.f64 x y)))

rewrite64.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`pow1`
1742×	`add-exp-log`
1740×	`log1p-expm1-u`
1740×	`expm1-log1p-u`
1712×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	175	19
2	2370	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs
(+.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 x y)))
(+.f64 (.f64 (.f64 2 x) x) (.f64 (.f64 2 x) y))
(+.f64 (.f64 (.f64 2 x) y) (.f64 (.f64 2 x) x))
(+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 x y) 2))
(+.f64 (.f64 x (.f64 2 x)) (.f64 y (.f64 2 x)))
(+.f64 (.f64 y (.f64 2 x)) (.f64 x (.f64 2 x)))
(-.f64 (+.f64 1 (.f64 2 (.f64 x (+.f64 x y)))) 1)
(/.f64 (.f64 (.f64 2 x) (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (.f64 (.f64 2 x) (fma.f64 x x (neg.f64 (*.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)))))

simplify70.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1162×	`associate-r`
1024×	`associate-l`
976×	`log-prod`
724×	`fma-neg`
558×	`exp-sum`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	843
1	198	843
2	614	839
3	3863	839
4	7230	839

Stop Event

1×	node limit

Counts

43 → 34

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

eval10.0ms (0.5%)

Compiler: Compiled 384 to 195 computations (49.2% saved)

prune7.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Accurracy

100.0%

Counts

35 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.6%	(.f64 y (.f64 2 x))
✓	100.0%	(.f64 2 (.f64 x (+.f64 x y)))
▶	56.2%	(.f64 2 (.f64 x x))
▶	59.6%	(.f64 y (.f64 2 x))
✓	100.0%	(.f64 2 (.f64 x (+.f64 x y)))
▶	56.2%	(.f64 2 (.f64 x x))

Compiler

Compiled 46 to 32 computations (30.4% saved)

localize95.0ms (5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`pow1`
1004×	`add-sqr-sqrt`
956×	`add-exp-log`
956×	`log1p-expm1-u`
956×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	121	13
2	1362	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 2 (.f64 x x))

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

simplify61.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2150×	`log-prod`
1058×	`distribute-lft-in`
1054×	`distribute-rgt-in`
808×	`associate-r`
692×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	299
1	89	299
2	318	299
3	2143	299
4	7034	299

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

eval2.0ms (0.1%)

Compiler: Compiled 93 to 61 computations (34.4% saved)

prune5.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	13	3	16

Accurracy

100.0%

Counts

16 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.6%	(.f64 y (.f64 2 x))
✓	100.0%	(.f64 2 (.f64 x (+.f64 x y)))
✓	56.2%	(.f64 2 (.f64 x x))

Compiler

Compiled 51 to 32 computations (37.3% saved)

regimes16.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y
4.0ms	x
4.0ms	(+.f64 (.f64 x x) (.f64 x y))
3.0ms	(.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 54 to 32 computations (40.7% saved)

regimes42.0ms (2.2%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	y
15.0ms	x

Results

Accuracy	Segments	Branch
83.9%	5	`x`
88.3%	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 2 (.f64 x x))

Outputs
(.f64 2 (.f64 x x))

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
56.2%	1	`x`
56.2%	1	`y`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch89.0ms (4.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	1.1923401199038089e+104	9.838893898395693e+117
13.0ms	8.775321224088443e+92	6.198199308264533e+96
18.0ms	9.795166388073702e-79	6.854254102638514e-54
41.0ms	-798969773764577500.0	-7335166069009.538

Results

44.0ms	483×	body	256	valid
38.0ms	125×	body	256	infinite

Compiler

Compiled 624 to 467 computations (25.2% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

10×	`*-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	27	127
1	38	121
2	41	115
3	47	111
4	51	111
5	55	111
6	56	111
7	57	111

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y -220000000000000000) (*.f64 y (*.f64 2 x)) (if (<=.f64 y 795081179150273/883423532389192164791648750371459257913741948437809479060803100646309888) (*.f64 2 (*.f64 x x)) (if (<=.f64 y 6000000000000000062027725073429789874588233614837937625952428988440055241786702844100664589549568) (*.f64 y (*.f64 2 x)) (if (<=.f64 y 6799999999999999885711842062090367014490639339817170610122289295154763739828345455887574551527082063560704) (*.f64 2 (*.f64 x x)) (*.f64 y (*.f64 2 x))))))

(*.f64 2 (*.f64 x x))

Outputs
(.f64 2 (.f64 x (+.f64 x y)))
(if (<=.f64 y -220000000000000000) (.f64 y (.f64 2 x)) (if (<=.f64 y 795081179150273/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 2 (.f64 x x)) (if (<=.f64 y 6000000000000000062027725073429789874588233614837937625952428988440055241786702844100664589549568) (.f64 y (.f64 2 x)) (if (<=.f64 y 6799999999999999885711842062090367014490639339817170610122289295154763739828345455887574551527082063560704) (.f64 2 (.f64 x x)) (.f64 y (.f64 2 x))))))
(if (<=.f64 y -220000000000000000) (.f64 y (.f64 2 x)) (if (<=.f64 y 795081179150273/883423532389192164791648750371459257913741948437809479060803100646309888) (.f64 2 (.f64 x x)) (if (or (<=.f64 y 6000000000000000062027725073429789874588233614837937625952428988440055241786702844100664589549568) (not (<=.f64 y 6799999999999999885711842062090367014490639339817170610122289295154763739828345455887574551527082063560704))) (.f64 y (.f64 2 x)) (.f64 2 (.f64 x x)))))
(if (<=.f64 y -220000000000000000) (.f64 y (.f64 2 x)) (if (or (<=.f64 y 795081179150273/883423532389192164791648750371459257913741948437809479060803100646309888) (not (or (<=.f64 y 6000000000000000062027725073429789874588233614837937625952428988440055241786702844100664589549568) (not (<=.f64 y 6799999999999999885711842062090367014490639339817170610122289295154763739828345455887574551527082063560704))))) (.f64 2 (.f64 x x)) (.f64 y (.f64 2 x))))
(if (or (<=.f64 y -220000000000000000) (not (or (<=.f64 y 795081179150273/883423532389192164791648750371459257913741948437809479060803100646309888) (not (or (<=.f64 y 6000000000000000062027725073429789874588233614837937625952428988440055241786702844100664589549568) (not (<=.f64 y 6799999999999999885711842062090367014490639339817170610122289295154763739828345455887574551527082063560704))))))) (.f64 y (.f64 2 x)) (.f64 2 (.f64 x x)))
(if (or (<=.f64 y -220000000000000000) (not (or (<=.f64 y 795081179150273/883423532389192164791648750371459257913741948437809479060803100646309888) (and (not (<=.f64 y 6000000000000000062027725073429789874588233614837937625952428988440055241786702844100664589549568)) (<=.f64 y 6799999999999999885711842062090367014490639339817170610122289295154763739828345455887574551527082063560704))))) (.f64 y (.f64 2 x)) (.f64 2 (.f64 x x)))
(if (or (<=.f64 y -220000000000000000) (and (not (<=.f64 y 795081179150273/883423532389192164791648750371459257913741948437809479060803100646309888)) (or (<=.f64 y 6000000000000000062027725073429789874588233614837937625952428988440055241786702844100664589549568) (not (<=.f64 y 6799999999999999885711842062090367014490639339817170610122289295154763739828345455887574551527082063560704))))) (.f64 y (.f64 2 x)) (.f64 2 (.f64 x x)))
(.f64 2 (.f64 x x))

Compiler

Compiled 46 to 33 computations (28.3% saved)

soundness194.0ms (10.1%)

Rules

1162×	`associate-r`
1162×	`associate-r`
1024×	`associate-l`
1024×	`associate-l`
976×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	22	19
2	45	19
3	77	19
4	81	19
0	73	843
1	198	843
2	614	839
3	3863	839
4	7230	839
0	73	843
1	198	843
2	614	839
3	3863	839
4	7230	839

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 52 to 34 computations (34.6% saved)

end0.0ms (0%)

preprocess99.0ms (5.1%)

Compiler: Compiled 124 to 82 computations (33.9% saved)

analyze0.0ms (0%)

sample973.0ms (50.6%)

preprocess97.0ms (5%)

simplify4.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize24.0ms (1.3%)

series3.0ms (0.1%)

rewrite64.0ms (3.3%)

simplify70.0ms (3.7%)

eval10.0ms (0.5%)

prune7.0ms (0.4%)

localize95.0ms (5%)

series1.0ms (0.1%)

rewrite49.0ms (2.6%)

simplify61.0ms (3.2%)

eval2.0ms (0.1%)

prune5.0ms (0.2%)

regimes16.0ms (0.8%)

regimes42.0ms (2.2%)

regimes6.0ms (0.3%)

bsearch89.0ms (4.6%)

simplify8.0ms (0.4%)

soundness194.0ms (10.1%)

end0.0ms (0%)

preprocess99.0ms (5.1%)

Profiling