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

Time bar (total: 2.4s)

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 (73.8%)

Results
834.0ms4984×body256valid
216.0ms403×body2048valid
215.0ms654×body1024valid
146.0ms1394×body256infinite
119.0ms435×body512valid
115.0ms155×body1024infinite
38.0ms231×body512infinite
Bogosity

preprocess243.0ms (10.3%)

Algorithm
1×egg-herbie
Rules
1210×sub-neg
1148×unsub-neg
1020×fma-def
842×distribute-lft-out
748×distribute-lft-out--
Problems
152×No Errors
92×(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
7×(+.f64 (*.f64 x y) (*.f64 y y))
5×(-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049617
1193480
2637440
32707250
45746250
56665250
67141250
77254250
87294250
97301250
107736250
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (-.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) (neg.f64 y)))
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y (neg.f64 z))) (*.f64 y y))
(neg.f64 (-.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y)))
(neg.f64 (-.f64 (-.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y (neg.f64 z))) (*.f64 y y)))
(-.f64 (-.f64 (+.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x z)) (*.f64 x x))
(-.f64 (-.f64 (+.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y x)) (*.f64 y y))
(-.f64 (-.f64 (+.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z y)) (*.f64 z z))
Outputs
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y z)))
(*.f64 y (+.f64 x (-.f64 y (+.f64 y z))))
(*.f64 y (-.f64 x z))
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y z)))
(*.f64 y (+.f64 x (-.f64 y (+.f64 y z))))
(*.f64 y (-.f64 x z))
(-.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y))
(-.f64 (*.f64 y (+.f64 (neg.f64 x) y)) (*.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (fma.f64 -1 x y) (+.f64 y z)))
(*.f64 y (-.f64 (-.f64 y x) (+.f64 y z)))
(*.f64 y (neg.f64 (+.f64 x z)))
(-.f64 (-.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) (neg.f64 y)))
(-.f64 (+.f64 (*.f64 y (+.f64 (neg.f64 x) y)) (*.f64 y z)) (*.f64 y y))
(*.f64 y (-.f64 (+.f64 y z) (+.f64 x y)))
(*.f64 y (-.f64 z x))
(-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y (neg.f64 z))) (*.f64 y y))
(-.f64 (*.f64 y (+.f64 x y)) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 y y)))
(-.f64 (*.f64 y (+.f64 x y)) (*.f64 y (-.f64 y z)))
(*.f64 y (-.f64 (+.f64 x y) (-.f64 y z)))
(*.f64 y (+.f64 x z))
(neg.f64 (-.f64 (-.f64 (+.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y z)) (*.f64 y y)))
(-.f64 (*.f64 y (+.f64 x y)) (+.f64 (*.f64 y (neg.f64 z)) (*.f64 y y)))
(-.f64 (*.f64 y (+.f64 x y)) (*.f64 y (-.f64 y z)))
(*.f64 y (-.f64 (+.f64 x y) (-.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) z)) (*.f64 (neg.f64 y) (neg.f64 y))))
(-.f64 (*.f64 y (+.f64 x y)) (*.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y z)))
(*.f64 y (+.f64 x (-.f64 y (+.f64 y z))))
(*.f64 y (-.f64 x z))
(neg.f64 (-.f64 (-.f64 (+.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y (neg.f64 z))) (*.f64 y y)))
(-.f64 (*.f64 y (+.f64 (neg.f64 x) y)) (*.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (fma.f64 -1 x y) (+.f64 y z)))
(*.f64 y (-.f64 (-.f64 y x) (+.f64 y z)))
(*.f64 y (neg.f64 (+.f64 x z)))
(-.f64 (-.f64 (+.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x z)) (*.f64 x x))
(-.f64 (*.f64 x (+.f64 y x)) (+.f64 (*.f64 x z) (*.f64 x x)))
(-.f64 (*.f64 x (+.f64 x y)) (*.f64 x (+.f64 x z)))
(*.f64 x (-.f64 (-.f64 (+.f64 x y) z) x))
(*.f64 x (-.f64 y z))
(-.f64 (-.f64 (+.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y x)) (*.f64 y y))
(-.f64 (+.f64 (*.f64 y (+.f64 (neg.f64 x) y)) (*.f64 y z)) (*.f64 y y))
(*.f64 y (-.f64 (+.f64 y z) (+.f64 x y)))
(*.f64 y (-.f64 z x))
(-.f64 (-.f64 (+.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z y)) (*.f64 z z))
(-.f64 (*.f64 z (+.f64 x z)) (+.f64 (*.f64 y z) (*.f64 z z)))
(-.f64 (*.f64 z (-.f64 (+.f64 x z) y)) (*.f64 z z))
(*.f64 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 37 to 16 computations (56.8% 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)

localize23.0ms (1%)

Compiler

Compiled 15 to 6 computations (60% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (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)

regimes12.0ms (0.5%)

Accuracy

Total -25.4b remaining (-∞%)

Threshold costs -25.4b (-∞%)

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

4 calls:

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

soundness254.0ms (10.7%)

Rules
1210×sub-neg
1148×unsub-neg
1020×fma-def
842×distribute-lft-out
748×distribute-lft-out--
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049617
1193480
2637440
32707250
45746250
56665250
67141250
77254250
87294250
97301250
107736250
Stop Event
1×node limit
Compiler

Compiled 228 to 42 computations (81.6% saved)

end0.0ms (0%)

preprocess81.0ms (3.4%)

Remove

(negabs y)

Compiler

Compiled 100 to 58 computations (42% saved)

Profiling

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