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

Time bar (total: 16.1s)

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 18 to 8 computations (55.6% saved)

sample15.6s (96.8%)

Results
1.6s8256×0valid-rival
838.0ms8157×0valid-sollya
495.0ms99×0exit-sollya
Bogosity

preprocess297.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
673×fma-neg
483×fma-define
92×unsub-neg
86×cancel-sign-sub
70×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028449
179337
2203239
3708239
41667239
52292239
62482239
72483239
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y)))
(neg.f64 (+.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)))
(neg.f64 (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))))
(+.f64 (+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (fma.f64 x x (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 y y)))
(fma.f64 y y (fma.f64 x x (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (fma.f64 x x (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 y y)))
(fma.f64 y y (fma.f64 x x (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (fma.f64 x x (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 y y)))
(fma.f64 y y (fma.f64 x x (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 (fma.f64 x x (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 y y)))
(fma.f64 y y (fma.f64 x x (*.f64 #s(literal 2 binary64) (*.f64 y y))))
(fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(neg.f64 (+.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 y y)) (*.f64 y y)))
(neg.f64 (+.f64 (fma.f64 x x (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 y y))))
(neg.f64 (fma.f64 y y (fma.f64 x x (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(neg.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))))
(-.f64 (*.f64 y (*.f64 y #s(literal -3 binary64))) (*.f64 x x))
(neg.f64 (+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (+.f64 (fma.f64 x x (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 y y))))
(neg.f64 (fma.f64 y y (fma.f64 x x (*.f64 #s(literal 2 binary64) (*.f64 y y)))))
(neg.f64 (fma.f64 x x (*.f64 (*.f64 y y) #s(literal 3 binary64))))
(-.f64 (*.f64 y (*.f64 y #s(literal -3 binary64))) (*.f64 x x))
(+.f64 (+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))
(+.f64 (*.f64 x x) (+.f64 (*.f64 x x) (fma.f64 x x (*.f64 y y))))
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) (*.f64 x x))))
(fma.f64 y y (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 y y))
Symmetry

(abs x)

(abs y)

Compiler

Compiled 17 to 7 computations (58.8% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Compiler

Compiled 34 to 14 computations (58.8% saved)

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Rules
3×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01267
11567
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
Outputs
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 y y) (+.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y y))))

soundness0.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 17 to 7 computations (58.8% saved)

preprocess203.0ms (1.3%)

Remove

(abs y)

(abs x)

Compiler

Compiled 230 to 98 computations (57.4% saved)

end0.0ms (0%)

Profiling

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