Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, B

analyze1.0ms (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)

sample20.4s (96.1%)

Results

1.4s	5755×	0	valid-rival
635.0ms	5689×	0	valid-sollya
964.0ms	1569×	1	valid-rival
215.0ms	1548×	1	valid-sollya
1.1s	932×	2	valid-rival
157.0ms	918×	2	valid-sollya
330.0ms	66×	0	exit-sollya
105.0ms	21×	1	exit-sollya
70.0ms	14×	2	exit-sollya

Bogosity

preprocess505.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-neg`
824×	`sub-neg`
339×	`distribute-lft-out`
329×	`distribute-lft-neg-in`
286×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	761
1	190	324
2	620	250
3	2072	250
4	5859	250
5	7345	250
6	7794	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)) #s(literal 0 binary64))
(*.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)) #s(literal 0 binary64))
(*.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)) #s(literal 0 binary64))
(*.f64 (neg.f64 y) (+.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)) #s(literal 0 binary64))
(*.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))) #s(literal 0 binary64))
(*.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))) #s(literal 0 binary64))
(*.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)) #s(literal 0 binary64))
(*.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)) #s(literal 0 binary64))
(*.f64 (neg.f64 y) (+.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)) #s(literal 0 binary64))
(*.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)) #s(literal 0 binary64))
(*.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)) #s(literal 0 binary64))
(*.f64 z (-.f64 x y))

Symmetry

(negabs y)

Compiler

Compiled 18 to 9 computations (50% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.5%	(+.f64 (-.f64 (-.f64 (.f64 x y) (.f64 y z)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 36 to 18 computations (50% saved)

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative`
6×	`sub-neg`
6×	`*-commutative`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
1	28	67
2	44	67
3	52	67
4	57	67
5	58	67

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 18 to 9 computations (50% saved)

preprocess300.0ms (1.4%)

Remove: (negabs y)
Compiler: Compiled 160 to 82 computations (48.8% saved)

Linear.Quaternion:$c/ from linear-1.19.1.3, B

analyze1.0ms (0%)

sample20.4s (96.1%)

preprocess505.0ms (2.4%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify26.0ms (0.1%)

soundness1.0ms (0%)

preprocess300.0ms (1.4%)

end0.0ms (0%)

Profiling