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

Time bar (total: 1.7s)

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)

sample1.2s (72.9%)

Results
715.0ms4984×body256valid
144.0ms1395×body256infinite
138.0ms655×body1024valid
100.0ms402×body2048valid
67.0ms435×body512valid
34.0ms230×body512infinite
30.0ms155×body1024infinite
Bogosity

preprocess135.0ms (8%)

Algorithm
1×egg-herbie
Rules
1638×sub-neg
1574×fma-neg
782×fma-def
678×distribute-lft-out
656×distribute-lft-neg-in
Problems
152×No Errors
88×(+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y))
16×(-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050761
1190324
2620250
32088250
45865250
57347250
67796250
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)

prune2.0ms (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)

localize21.0ms (1.2%)

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 (0.7%)

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

4 calls:

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

soundness258.0ms (15.2%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
050761
1190324
2620250
32088250
45865250
57347250
67796250
Stop Event
1×node limit
Compiler

Compiled 61 to 17 computations (72.1% saved)

end0.0ms (0%)

preprocess28.0ms (1.7%)

Remove

(negabs y)

Compiler

Compiled 100 to 58 computations (42% saved)

Profiling

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