Metrics for Linear.Quaternion:$c/ 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 19 to 10 computations (47.4% saved)

sample1.7s (59.8%)

Results

774.0ms	4939×	body	256	valid
285.0ms	1334×	body	256	infinite
188.0ms	691×	body	1024	valid
170.0ms	409×	body	2048	valid
141.0ms	470×	body	512	valid
51.0ms	244×	body	512	infinite
37.0ms	169×	body	1024	infinite

Bogosity

preprocess187.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

1638×	`sub-neg`
1574×	`fma-neg`
782×	`fma-def`
678×	`distribute-lft-out`
656×	`distribute-lft-neg-in`

Problems

146×	No Errors
91×	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
18×	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`
1×	`(-.f64 (.f64 x y) (.f64 y z))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	761
1	190	324
2	620	250
3	2088	250
4	5865	250
5	7347	250
6	7796	250

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (-.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)) (.f64 y y))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y z)) (.f64 y y)) (.f64 y y)))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)) (.f64 y y)))
(+.f64 (-.f64 (-.f64 (.f64 y x) (.f64 x z)) (.f64 x x)) (.f64 x x))
(+.f64 (-.f64 (-.f64 (.f64 z y) (.f64 y x)) (.f64 y y)) (.f64 y y))
(+.f64 (-.f64 (-.f64 (.f64 x z) (.f64 z y)) (.f64 z z)) (.f64 z z))

Outputs
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (.f64 x y) (+.f64 (.f64 y z) (.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) 0)
(*.f64 y (-.f64 x z))
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (.f64 x y) (+.f64 (.f64 y z) (.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) 0)
(*.f64 y (-.f64 x z))
(+.f64 (-.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y z)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 (neg.f64 y) (+.f64 x z)) 0)
(*.f64 y (-.f64 (neg.f64 x) z))
(*.f64 y (-.f64 (neg.f64 z) x))
(+.f64 (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 (.f64 y y) (-.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 z x)) 0)
(*.f64 y (-.f64 z x))
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 x (neg.f64 z))) 0)
(*.f64 y (+.f64 x z))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y z)) (.f64 y y)) (.f64 y y)))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 x (neg.f64 z))) 0)
(*.f64 y (+.f64 x z))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y))))
(+.f64 (.f64 y y) (-.f64 (.f64 x y) (+.f64 (.f64 y z) (.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) 0)
(*.f64 y (-.f64 x z))
(neg.f64 (+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y (neg.f64 z))) (.f64 y y)) (.f64 y y)))
(+.f64 (.f64 y y) (-.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 (neg.f64 y) (+.f64 x z)) 0)
(*.f64 y (-.f64 (neg.f64 x) z))
(*.f64 y (-.f64 (neg.f64 z) x))
(+.f64 (-.f64 (-.f64 (.f64 y x) (.f64 x z)) (.f64 x x)) (.f64 x x))
(+.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x y) (.f64 x z)) (.f64 x x)))
(+.f64 (*.f64 x (-.f64 y z)) 0)
(*.f64 x (-.f64 y z))
(+.f64 (-.f64 (-.f64 (.f64 z y) (.f64 y x)) (.f64 y y)) (.f64 y y))
(+.f64 (.f64 y y) (-.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 y z)) (.f64 y y)))
(+.f64 (*.f64 y (-.f64 z x)) 0)
(*.f64 y (-.f64 z x))
(+.f64 (-.f64 (-.f64 (.f64 x z) (.f64 z y)) (.f64 z z)) (.f64 z z))
(+.f64 (.f64 z z) (-.f64 (.f64 x z) (+.f64 (.f64 y z) (.f64 z z))))
(+.f64 (*.f64 z (-.f64 x y)) 0)
(*.f64 z (-.f64 x y))

Symmetry

(negabs y)

Compiler

Compiled 67 to 19 computations (71.6% saved)

eval1.0ms (0%)

Compiler: Compiled 30 to 13 computations (56.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize26.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite169.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

810×	`unpow-prod-down`
718×	`prod-diff`
580×	`log1p-expm1-u`
580×	`expm1-log1p-u`
572×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	117	22
2	1522	22

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

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

simplify70.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1370×	`log-prod`
866×	`associate-r`
798×	`associate-l`
670×	`prod-exp`
434×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1451
1	231	1412
2	608	1412
3	4044	1364
4	6922	1364

Stop Event

1×	node limit

Counts

58 → 51

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(*.f64 x y)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 x y))
(+.f64 0 (*.f64 y (-.f64 x z)))
(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 x y) (.f64 (neg.f64 z) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) 1)
(/.f64 (*.f64 y (-.f64 (pow.f64 x 3) (pow.f64 z 3))) (fma.f64 z (+.f64 x z) (pow.f64 x 2)))
(/.f64 (*.f64 y (-.f64 (pow.f64 x 2) (pow.f64 z 2))) (+.f64 x z))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 z 3)) y) (fma.f64 z (+.f64 x z) (pow.f64 x 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (pow.f64 z 2)) y) (+.f64 x z))
(pow.f64 (*.f64 y (-.f64 x z)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) 3)
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 2))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (.f64 (log.f64 (.f64 y (-.f64 x z))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (-.f64 x z))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (-.f64 x z)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (-.f64 x z)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (-.f64 x z)))) 2))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (-.f64 x z)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (-.f64 x z))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (-.f64 x z)) 1)))
(exp.f64 (+.f64 (log.f64 (-.f64 x z)) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 x z)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (-.f64 x z)) 1) (.f64 (log.f64 y) 1)))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))
(fma.f64 y x (*.f64 y (neg.f64 z)))
(fma.f64 x y (*.f64 (neg.f64 z) y))

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

eval9.0ms (0.3%)

Compiler: Compiled 522 to 216 computations (58.6% saved)

prune10.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Accuracy

100.0%

Counts

52 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 y (-.f64 x z))
▶	49.5%	(*.f64 y (neg.f64 z))
▶	58.2%	(*.f64 y x)
✓	100.0%	(*.f64 y (-.f64 x z))
▶	49.5%	(*.f64 y (neg.f64 z))
▶	58.2%	(*.f64 y x)

Compiler

Compiled 42 to 28 computations (33.3% saved)

localize70.0ms (2.5%)

Compiler: Compiled 17 to 7 computations (58.8% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 y (-.f64 x z))
✓	49.5%	(*.f64 y (neg.f64 z))
✓	58.2%	(*.f64 y x)

Compiler

Compiled 51 to 28 computations (45.1% saved)

regimes19.0ms (0.7%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 y (-.f64 x z))
(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

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

Calls

4 calls:

7.0ms	z
4.0ms	y
4.0ms	x
3.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`

Compiler

Compiled 60 to 32 computations (46.7% saved)

regimes56.0ms (2%)

Counts

2 → 5

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y (neg.f64 z))

Outputs
(*.f64 y (neg.f64 z))
(*.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 y x)
(*.f64 y (neg.f64 z))

Calls

3 calls:

26.0ms	y
17.0ms	z
13.0ms	x

Results

Accuracy	Segments	Branch
80.1%	3	`x`
70.0%	9	`y`
84.0%	5	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y x)

Outputs
(*.f64 y x)

Calls

2 calls:

5.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
58.2%	1	`x`
58.2%	1	`z`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch102.0ms (3.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	5.9833155288426755e+32	1.0384198905908334e+36
23.0ms	-2.81454140988805e-38	-4.934628324193514e-47
43.0ms	-6.753727428748681e+31	-3.1489916331499384e+29
16.0ms	-7.409604011564701e+71	-1.546732554568443e+70

Results

60.0ms	297×	body	256	valid
12.0ms	56×	body	1024	valid
8.0ms	52×	body	512	valid
7.0ms	31×	body	1024	infinite
4.0ms	38×	body	256	infinite
2.0ms	16×	body	512	infinite
2.0ms	6×	body	2048	valid

Compiler

Compiled 489 to 355 computations (27.4% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
8×	`sub-neg`
8×	`not-or`
8×	`+-commutative`
6×	`neg-mul-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	150
1	45	144
2	57	134
3	69	130
4	76	130
5	81	130
6	82	130
7	83	130

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 z -26500000000000000006463638028163657895263137917746352297808666390691840) (*.f64 y (neg.f64 z)) (if (<=.f64 z -65999999999999998497635472244736) (*.f64 y x) (if (<=.f64 z -2812141577453233/401734511064747568885490523085290650630550748445698208825344) (*.f64 y (neg.f64 z)) (if (<=.f64 z 9800000000000000273682316897812480) (*.f64 y x) (*.f64 y (neg.f64 z))))))

(*.f64 y x)

Outputs
(*.f64 y (-.f64 x z))
(if (<=.f64 z -26500000000000000006463638028163657895263137917746352297808666390691840) (.f64 y (neg.f64 z)) (if (<=.f64 z -65999999999999998497635472244736) (.f64 y x) (if (<=.f64 z -2812141577453233/401734511064747568885490523085290650630550748445698208825344) (.f64 y (neg.f64 z)) (if (<=.f64 z 9800000000000000273682316897812480) (.f64 y x) (*.f64 y (neg.f64 z))))))
(if (<=.f64 z -26500000000000000006463638028163657895263137917746352297808666390691840) (.f64 y (neg.f64 z)) (if (<=.f64 z -65999999999999998497635472244736) (.f64 y x) (if (or (<=.f64 z -2812141577453233/401734511064747568885490523085290650630550748445698208825344) (not (<=.f64 z 9800000000000000273682316897812480))) (.f64 y (neg.f64 z)) (.f64 y x))))
(if (<=.f64 z -26500000000000000006463638028163657895263137917746352297808666390691840) (.f64 y (neg.f64 z)) (if (or (<=.f64 z -65999999999999998497635472244736) (not (or (<=.f64 z -2812141577453233/401734511064747568885490523085290650630550748445698208825344) (not (<=.f64 z 9800000000000000273682316897812480))))) (.f64 y x) (*.f64 y (neg.f64 z))))
(if (or (<=.f64 z -26500000000000000006463638028163657895263137917746352297808666390691840) (not (or (<=.f64 z -65999999999999998497635472244736) (not (or (<=.f64 z -2812141577453233/401734511064747568885490523085290650630550748445698208825344) (not (<=.f64 z 9800000000000000273682316897812480))))))) (.f64 y (neg.f64 z)) (.f64 y x))
(if (or (<=.f64 z -26500000000000000006463638028163657895263137917746352297808666390691840) (not (or (<=.f64 z -65999999999999998497635472244736) (and (not (<=.f64 z -2812141577453233/401734511064747568885490523085290650630550748445698208825344)) (<=.f64 z 9800000000000000273682316897812480))))) (.f64 y (neg.f64 z)) (.f64 y x))
(if (or (<=.f64 z -26500000000000000006463638028163657895263137917746352297808666390691840) (and (not (<=.f64 z -65999999999999998497635472244736)) (or (<=.f64 z -2812141577453233/401734511064747568885490523085290650630550748445698208825344) (not (<=.f64 z 9800000000000000273682316897812480))))) (.f64 y (neg.f64 z)) (.f64 y x))
(*.f64 y x)

Compiler

Compiled 42 to 29 computations (31% saved)

soundness333.0ms (12%)

Rules

1638×	`sub-neg`
1574×	`fma-neg`
1370×	`log-prod`
1370×	`log-prod`
866×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	761
1	190	324
2	620	250
3	2088	250
4	5865	250
5	7347	250
6	7796	250
0	108	1451
1	231	1412
2	608	1412
3	4044	1364
4	6922	1364
0	108	1451
1	231	1412
2	608	1412
3	4044	1364
4	6922	1364

Stop Event

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

Compiler

Compiled 86 to 31 computations (64% saved)

end0.0ms (0%)

preprocess45.0ms (1.6%)

Remove: (negabs y)
Compiler: Compiled 140 to 82 computations (41.4% saved)

analyze0.0ms (0%)

sample1.7s (59.8%)

preprocess187.0ms (6.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize26.0ms (0.9%)

series3.0ms (0.1%)

rewrite169.0ms (6.1%)

simplify70.0ms (2.5%)

eval9.0ms (0.3%)

prune10.0ms (0.3%)

localize70.0ms (2.5%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes19.0ms (0.7%)

regimes56.0ms (2%)

regimes8.0ms (0.3%)

bsearch102.0ms (3.7%)

simplify6.0ms (0.2%)

soundness333.0ms (12%)

end0.0ms (0%)

preprocess45.0ms (1.6%)

Profiling