FRP.Yampa.Vector3:vector3Rho from Yampa-0.10.2

Time bar (total: 5.6s)

analyze3.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
100%99.9%0%0.1%0%0%0%4
Compiler

Compiled 16 to 10 computations (37.5% saved)

sample5.4s (96.1%)

Results
890.0ms8256×0valid-sollya
1.5s8256×0valid-rival
Bogosity

preprocess129.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
212×fma-neg
117×fma-define
45×unsub-neg
31×neg-sub0
30×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042551
184507
2176507
3391507
4675507
5825507
6841507
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
(sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))))
(neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z))))
(neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z))))
(neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z)))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)))
(sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)))
Outputs
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
(sqrt.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
(sqrt.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z)))
(sqrt.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)))
(sqrt.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))))
(sqrt.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)) (*.f64 z z))))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y)))))
(neg.f64 (sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z)))))
(neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z))))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y)))))
(neg.f64 (sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z)))))
(neg.f64 (sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z)))))
(neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y)))))
(neg.f64 (sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z)))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)))
(sqrt.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 z z) (*.f64 y y)) (*.f64 x x)))
(sqrt.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 z z)) (*.f64 y y)))
(sqrt.f64 (+.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
39.8%
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
Compiler

Compiled 30 to 18 computations (40% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01653
11853
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
Outputs
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

soundness1.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 15 to 9 computations (40% saved)

preprocess77.0ms (1.4%)

Remove

(sort x y z)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 352 to 212 computations (39.8% saved)

end0.0ms (0%)

Profiling

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