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)

sample1.2s (56.6%)

Results

854.0ms	5930×	body	256	valid
300.0ms	2326×	body	256	infinite

Bogosity

preprocess17.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

60×	`fma-def`
42×	`*-commutative`
16×	`distribute-rgt-in`
16×	`associate-r`
16×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	41	38
2	81	38
3	136	38
4	140	38
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify13.0ms (0.7%)

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)

localize25.0ms (1.2%)

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)))

rewrite62.0ms (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)))))

simplify71.0ms (3.4%)

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)))

eval6.0ms (0.3%)

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

prune8.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	1	0	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
▶	57.4%	(.f64 y (.f64 2 x))
▶	100.0%	(.f64 x (.f64 2 (+.f64 y x)))
▶	57.8%	(.f64 2 (.f64 x x))
▶	57.4%	(.f64 y (.f64 2 x))
▶	100.0%	(.f64 x (.f64 2 (+.f64 y x)))
▶	57.8%	(.f64 2 (.f64 x x))

Compiler

Compiled 46 to 32 computations (30.4% saved)

localize53.0ms (2.6%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 42 to 20 computations (52.4% 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))

rewrite65.0ms (3.2%)

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))))

simplify62.0ms (3%)

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)

prune4.0ms (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	3	3
Done	0	0	0
Total	13	3	16

Accurracy

100.0%

Counts

16 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	(.f64 y (.f64 2 x))
✓	100.0%	(.f64 x (.f64 2 (+.f64 y x)))
✓	57.8%	(.f64 2 (.f64 x x))

Compiler

Compiled 58 to 36 computations (37.9% saved)

regimes18.0ms (0.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(+.f64 (.f64 x x) (.f64 x y))
4.0ms	x
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 36 computations (41% saved)

regimes8.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

regimes33.0ms (1.6%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
84.5%	5	`x`
83.9%	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:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
57.8%	1	`y`
57.8%	1	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch52.0ms (2.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	5.250533302515675e+68	6.3200792880852054e+69
11.0ms	5.007853395731566e+29	9.975571143855091e+30
18.0ms	2.985139958665515e-22	5.751442846556949e-12
12.0ms	-1.2984981503725995e+30	-9.037958698119125e+27

Results

43.0ms	460×	body	256	valid
2.0ms	20×	body	256	infinite

Compiler

Compiled 496 to 371 computations (25.2% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

14×	`*-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	30	146
1	43	140
2	46	134
3	52	130
4	56	130
5	60	130
6	61	130
7	62	130

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 2 (.f64 x (+.f64 x y)))
(if (<=.f64 x -9599999999999999907658203136) (.f64 2 (.f64 x x)) (if (<=.f64 x 3486039150627631/1267650600228229401496703205376) (.f64 y (.f64 2 x)) (if (<=.f64 x 3199999999999999725860827430912) (.f64 2 (.f64 x x)) (if (<=.f64 x 1000000000000000072531436381529235126158374409646521955518210155479040) (.f64 y (.f64 2 x)) (.f64 2 (.f64 x x))))))
(.f64 2 (.f64 x x))

Outputs
(.f64 x (.f64 2 (+.f64 y x)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 2 (.f64 x (+.f64 x y)))
(if (<=.f64 x -9599999999999999907658203136) (.f64 2 (.f64 x x)) (if (<=.f64 x 3486039150627631/1267650600228229401496703205376) (.f64 y (.f64 2 x)) (if (<=.f64 x 3199999999999999725860827430912) (.f64 2 (.f64 x x)) (if (<=.f64 x 1000000000000000072531436381529235126158374409646521955518210155479040) (.f64 y (.f64 2 x)) (.f64 2 (.f64 x x))))))
(if (<=.f64 x -9599999999999999907658203136) (.f64 2 (.f64 x x)) (if (<=.f64 x 3486039150627631/1267650600228229401496703205376) (.f64 y (.f64 x 2)) (if (or (<=.f64 x 3199999999999999725860827430912) (not (<=.f64 x 1000000000000000072531436381529235126158374409646521955518210155479040))) (.f64 2 (.f64 x x)) (.f64 y (.f64 x 2)))))
(if (<=.f64 x -9599999999999999907658203136) (.f64 2 (.f64 x x)) (if (or (<=.f64 x 3486039150627631/1267650600228229401496703205376) (not (or (<=.f64 x 3199999999999999725860827430912) (not (<=.f64 x 1000000000000000072531436381529235126158374409646521955518210155479040))))) (.f64 y (.f64 x 2)) (.f64 2 (.f64 x x))))
(if (or (<=.f64 x -9599999999999999907658203136) (not (or (<=.f64 x 3486039150627631/1267650600228229401496703205376) (not (or (<=.f64 x 3199999999999999725860827430912) (not (<=.f64 x 1000000000000000072531436381529235126158374409646521955518210155479040))))))) (.f64 2 (.f64 x x)) (.f64 y (.f64 x 2)))
(if (or (<=.f64 x -9599999999999999907658203136) (not (or (<=.f64 x 3486039150627631/1267650600228229401496703205376) (and (not (<=.f64 x 3199999999999999725860827430912)) (<=.f64 x 1000000000000000072531436381529235126158374409646521955518210155479040))))) (.f64 2 (.f64 x x)) (.f64 y (.f64 x 2)))
(.f64 2 (.f64 x x))

Compiler

Compiled 55 to 39 computations (29.1% saved)

soundness320.0ms (15.6%)

Rules

1162×	`associate-r`
1162×	`associate-r`
1162×	`associate-r`
1024×	`associate-l`
1024×	`associate-l`

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

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 125 to 83 computations (33.6% saved)

end54.0ms (2.6%)

Compiler: Compiled 138 to 88 computations (36.2% saved)

analyze0.0ms (0%)

sample1.2s (56.6%)

preprocess17.0ms (0.8%)

simplify13.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize25.0ms (1.2%)

series3.0ms (0.1%)

rewrite62.0ms (3%)

simplify71.0ms (3.4%)

eval6.0ms (0.3%)

prune8.0ms (0.4%)

localize53.0ms (2.6%)

series1.0ms (0.1%)

rewrite65.0ms (3.2%)

simplify62.0ms (3%)

eval2.0ms (0.1%)

prune4.0ms (0.2%)

regimes18.0ms (0.9%)

regimes8.0ms (0.4%)

regimes33.0ms (1.6%)

regimes6.0ms (0.3%)

bsearch52.0ms (2.5%)

simplify8.0ms (0.4%)

soundness320.0ms (15.6%)

end54.0ms (2.6%)

Profiling