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

Time bar (total: 2.2s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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 (73.9%)

Results
933.0ms5081×body256valid
186.0ms380×body2048valid
162.0ms1458×body256infinite
161.0ms669×body1024valid
148.0ms407×body512valid
26.0ms156×body512infinite
23.0ms105×body1024infinite
Bogosity

preprocess353.0ms (15.8%)

Algorithm
1×egg-herbie
Rules
1150×sub-neg
1112×unsub-neg
748×fma-def
650×distribute-lft-out--
606×distribute-lft-neg-in
Problems
144×No Errors
104×(+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y))
5×(-.f64 (*.f64 x y) (*.f64 y y))
3×(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048662
1183367
2641264
32529250
45645250
57367250
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(-.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(-.f64 (+.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z))
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y (neg.f64 z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y (neg.f64 z))))
(-.f64 (+.f64 (-.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x x)) (*.f64 x z))
(-.f64 (+.f64 (-.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y y)) (*.f64 y x))
(-.f64 (+.f64 (-.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z z)) (*.f64 z y))
Outputs
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y y) (*.f64 y z)))
(-.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y y) (*.f64 y z)))
(-.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(+.f64 (*.f64 y (-.f64 (neg.f64 x) y)) (-.f64 (*.f64 y y) (*.f64 y z)))
(-.f64 (neg.f64 (*.f64 x y)) (*.f64 y z))
(*.f64 (neg.f64 y) (+.f64 z x))
(*.f64 y (-.f64 (neg.f64 z) x))
(-.f64 (+.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z))
(+.f64 (+.f64 (*.f64 y y) (*.f64 y (-.f64 (neg.f64 x) y))) (*.f64 y z))
(+.f64 (fma.f64 x (neg.f64 y) 0) (*.f64 y z))
(*.f64 (neg.f64 y) (-.f64 x z))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y y) (*.f64 y (neg.f64 z))))
(+.f64 (fma.f64 x y 0) (*.f64 y z))
(*.f64 y (+.f64 x z))
(neg.f64 (-.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)))
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y y) (*.f64 y (neg.f64 z))))
(+.f64 (fma.f64 x y 0) (*.f64 y z))
(*.f64 y (+.f64 x z))
(neg.f64 (-.f64 (+.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z)))
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y y) (*.f64 y z)))
(-.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 x z))
(neg.f64 (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y (neg.f64 z))))
(+.f64 (*.f64 y (-.f64 (neg.f64 x) y)) (-.f64 (*.f64 y y) (*.f64 y z)))
(-.f64 (neg.f64 (*.f64 x y)) (*.f64 y z))
(*.f64 (neg.f64 y) (+.f64 z x))
(*.f64 y (-.f64 (neg.f64 z) x))
(-.f64 (+.f64 (-.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x x)) (*.f64 x z))
(+.f64 (*.f64 x (-.f64 y x)) (-.f64 (*.f64 x x) (*.f64 x z)))
(-.f64 (fma.f64 x y 0) (*.f64 x z))
(*.f64 x (-.f64 (-.f64 y 0) z))
(*.f64 x (-.f64 y z))
(-.f64 (+.f64 (-.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y y)) (*.f64 y x))
(+.f64 (+.f64 (*.f64 y y) (*.f64 y (-.f64 (neg.f64 x) y))) (*.f64 y z))
(+.f64 (fma.f64 x (neg.f64 y) 0) (*.f64 y z))
(*.f64 (neg.f64 y) (-.f64 x z))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 (-.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z z)) (*.f64 z y))
(+.f64 (*.f64 z (-.f64 x z)) (-.f64 (*.f64 z z) (*.f64 y z)))
(-.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (-.f64 x y))
Symmetry

(negabs y)

Compiler

Compiled 67 to 19 computations (71.6% saved)

eval1.0ms (0%)

Compiler

Compiled 28 to 13 computations (53.6% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 y (-.f64 x z))
▶100.0%
(*.f64 y (-.f64 x z))
Compiler

Compiled 16 to 10 computations (37.5% saved)

localize30.0ms (1.3%)

Compiler

Compiled 15 to 6 computations (60% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 y (-.f64 x z))
Compiler

Compiled 31 to 16 computations (48.4% saved)

regimes13.0ms (0.6%)

Accuracy

Total -18.5b remaining (-∞%)

Threshold costs -18.5b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Outputs
(*.f64 y (-.f64 x z))
Calls

4 calls:

4.0ms
y
3.0ms
x
3.0ms
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
3.0ms
z
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Compiler

Compiled 53 to 29 computations (45.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×sub-neg
4×+-commutative
4×*-commutative
2×neg-mul-1
2×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
11522
22022
32222
42322
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 y (-.f64 x z))
Outputs
(*.f64 y (-.f64 x z))
Compiler

Compiled 8 to 5 computations (37.5% saved)

soundness151.0ms (6.7%)

Rules
1150×sub-neg
1112×unsub-neg
748×fma-def
650×distribute-lft-out--
606×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048662
1183367
2641264
32529250
45645250
57367250
Stop Event
1×node limit
Compiler

Compiled 69 to 21 computations (69.6% saved)

end0.0ms (0%)

preprocess32.0ms (1.4%)

Remove

(negabs y)

Compiler

Compiled 100 to 58 computations (42% saved)

Profiling

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