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)

sample1.9s (62.4%)

Results

1.1s	5009×	body	256	valid
374.0ms	1356×	body	256	infinite
175.0ms	658×	body	1024	valid
103.0ms	363×	body	2048	valid
80.0ms	453×	body	512	valid
43.0ms	254×	body	512	infinite
37.0ms	162×	body	1024	infinite
0.0ms	1×	body	4096	valid

Bogosity

preprocess182.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1618×	`sub-neg`
1586×	`fma-neg`
782×	`fma-def`
678×	`distribute-lft-out`
658×	`distribute-lft-neg-in`

Problems

152×	No Errors
78×	`(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))`
23×	`(-.f64 (-.f64 (.f64 x y) (.f64 y z)) (*.f64 y y))`
3×	`(-.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	2091	250
4	5878	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)

localize24.0ms (0.8%)

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)

series4.0ms (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))

rewrite194.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`unpow-prod-down`
718×	`prod-diff`
577×	`log1p-expm1-u`
577×	`expm1-log1p-u`
572×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	117	22
2	1525	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))

simplify83.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1370×	`log-prod`
868×	`associate-r`
804×	`associate-l`
692×	`prod-exp`
434×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1451
1	234	1412
2	611	1412
3	4080	1364
4	6973	1364

Stop Event

1×	node limit

Counts

58 → 52

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 z (neg.f64 y))
(+.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 z (neg.f64 y))
(+.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 z (neg.f64 y))
(+.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 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 y (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 (/.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 (pow.f64 x 3) (pow.f64 z 3)) (/.f64 y (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 (/.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 537 to 225 computations (58.1% saved)

prune12.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Accuracy

100.0%

Counts

53 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.0%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
▶	58.6%	(*.f64 y x)
▶	50.0%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
▶	58.6%	(*.f64 y x)

Compiler

Compiled 42 to 28 computations (33.3% saved)

localize29.0ms (0.9%)

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
✓	50.0%	(*.f64 z (neg.f64 y))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	58.6%	(*.f64 y x)

Compiler

Compiled 51 to 28 computations (45.1% saved)

regimes25.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

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

11.0ms	x
5.0ms	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))
4.0ms	z
4.0ms	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)

regimes50.0ms (1.6%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	y
15.0ms	z
10.0ms	x

Results

Accuracy	Segments	Branch
80.8%	3	`x`
69.8%	7	`y`
84.4%	5	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes10.0ms (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

3 calls:

4.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
58.6%	1	`y`
58.6%	1	`x`
58.6%	1	`z`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch74.0ms (2.4%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	5.7127579193801e+199	2.8439364452338996e+202
15.0ms	8.764388974954745e+140	9.607589885434021e+142
18.0ms	4.7690754779013443e+82	1.3596876076708425e+84
23.0ms	-17758582591797.125	-4266854.72227218

Results

43.0ms	347×	body	256	valid
9.0ms	80×	body	256	infinite
5.0ms	22×	body	1024	valid
5.0ms	13×	body	512	infinite
4.0ms	21×	body	512	valid
3.0ms	13×	body	1024	infinite

Compiler

Compiled 489 to 355 computations (27.4% saved)

simplify10.0ms (0.3%)

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	46	144
2	59	134
3	71	130
4	77	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 -2500000000000) (*.f64 z (neg.f64 y)) (if (<=.f64 z 49000000000000000565928364967025195667396821918058166132283919805092815954126045184) (*.f64 y x) (if (<=.f64 z 95000000000000000089667875539968399908186421781940664500262708786315856454554782038803977957382894942307862298855765638613490687543017258090496) (*.f64 z (neg.f64 y)) (if (<=.f64 z 125000000000000004714848161632068786467724214271375990583792072320444331735548805624202380779518698661634426763635923712456941447904364351344500703752365677891099149098885108365277599999000415576260608) (*.f64 y x) (*.f64 z (neg.f64 y))))))

(*.f64 y x)

Outputs
(*.f64 y (-.f64 x z))
(if (<=.f64 z -2500000000000) (.f64 z (neg.f64 y)) (if (<=.f64 z 49000000000000000565928364967025195667396821918058166132283919805092815954126045184) (.f64 y x) (if (<=.f64 z 95000000000000000089667875539968399908186421781940664500262708786315856454554782038803977957382894942307862298855765638613490687543017258090496) (.f64 z (neg.f64 y)) (if (<=.f64 z 125000000000000004714848161632068786467724214271375990583792072320444331735548805624202380779518698661634426763635923712456941447904364351344500703752365677891099149098885108365277599999000415576260608) (.f64 y x) (*.f64 z (neg.f64 y))))))
(if (<=.f64 z -2500000000000) (.f64 z (neg.f64 y)) (if (<=.f64 z 49000000000000000565928364967025195667396821918058166132283919805092815954126045184) (.f64 y x) (if (or (<=.f64 z 95000000000000000089667875539968399908186421781940664500262708786315856454554782038803977957382894942307862298855765638613490687543017258090496) (not (<=.f64 z 125000000000000004714848161632068786467724214271375990583792072320444331735548805624202380779518698661634426763635923712456941447904364351344500703752365677891099149098885108365277599999000415576260608))) (.f64 z (neg.f64 y)) (.f64 y x))))
(if (<=.f64 z -2500000000000) (.f64 z (neg.f64 y)) (if (or (<=.f64 z 49000000000000000565928364967025195667396821918058166132283919805092815954126045184) (not (or (<=.f64 z 95000000000000000089667875539968399908186421781940664500262708786315856454554782038803977957382894942307862298855765638613490687543017258090496) (not (<=.f64 z 125000000000000004714848161632068786467724214271375990583792072320444331735548805624202380779518698661634426763635923712456941447904364351344500703752365677891099149098885108365277599999000415576260608))))) (.f64 y x) (*.f64 z (neg.f64 y))))
(if (or (<=.f64 z -2500000000000) (not (or (<=.f64 z 49000000000000000565928364967025195667396821918058166132283919805092815954126045184) (not (or (<=.f64 z 95000000000000000089667875539968399908186421781940664500262708786315856454554782038803977957382894942307862298855765638613490687543017258090496) (not (<=.f64 z 125000000000000004714848161632068786467724214271375990583792072320444331735548805624202380779518698661634426763635923712456941447904364351344500703752365677891099149098885108365277599999000415576260608))))))) (.f64 z (neg.f64 y)) (.f64 y x))
(if (or (<=.f64 z -2500000000000) (not (or (<=.f64 z 49000000000000000565928364967025195667396821918058166132283919805092815954126045184) (and (not (<=.f64 z 95000000000000000089667875539968399908186421781940664500262708786315856454554782038803977957382894942307862298855765638613490687543017258090496)) (<=.f64 z 125000000000000004714848161632068786467724214271375990583792072320444331735548805624202380779518698661634426763635923712456941447904364351344500703752365677891099149098885108365277599999000415576260608))))) (.f64 z (neg.f64 y)) (.f64 y x))
(if (or (<=.f64 z -2500000000000) (and (not (<=.f64 z 49000000000000000565928364967025195667396821918058166132283919805092815954126045184)) (or (<=.f64 z 95000000000000000089667875539968399908186421781940664500262708786315856454554782038803977957382894942307862298855765638613490687543017258090496) (not (<=.f64 z 125000000000000004714848161632068786467724214271375990583792072320444331735548805624202380779518698661634426763635923712456941447904364351344500703752365677891099149098885108365277599999000415576260608))))) (.f64 z (neg.f64 y)) (.f64 y x))
(*.f64 y x)

Compiler

Compiled 42 to 29 computations (31% saved)

soundness394.0ms (12.9%)

Rules

1618×	`sub-neg`
1586×	`fma-neg`
1370×	`log-prod`
1370×	`log-prod`
868×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	761
1	190	324
2	620	250
3	2091	250
4	5878	250
5	7347	250
6	7796	250
0	108	1451
1	234	1412
2	611	1412
3	4080	1364
4	6973	1364
0	108	1451
1	234	1412
2	611	1412
3	4080	1364
4	6973	1364

Stop Event

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

Compiler

Compiled 92 to 36 computations (60.9% saved)

end0.0ms (0%)

preprocess49.0ms (1.6%)

Remove: (negabs y)
Compiler: Compiled 172 to 102 computations (40.7% saved)

analyze0.0ms (0%)

sample1.9s (62.4%)

preprocess182.0ms (5.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.8%)

series4.0ms (0.1%)

rewrite194.0ms (6.3%)

simplify83.0ms (2.7%)

eval9.0ms (0.3%)

prune12.0ms (0.4%)

localize29.0ms (0.9%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes25.0ms (0.8%)

regimes50.0ms (1.6%)

regimes10.0ms (0.3%)

bsearch74.0ms (2.4%)

simplify10.0ms (0.3%)

soundness394.0ms (12.9%)

end0.0ms (0%)

preprocess49.0ms (1.6%)

Profiling