math.abs on complex (squared)

Time bar (total: 5.2s)

analyze1.0ms (0%)

Algorithm
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 10 to 6 computations (40% saved)

sample5.1s (97.7%)

Results
707.0ms8252×0valid-sollya
700.0ms8252×0valid-rival
Bogosity

preprocess72.0ms (1.4%)

Algorithm
egg-herbie
Rules
68×fma-neg
31×fma-define
19×distribute-lft-neg-in
13×unsub-neg
13×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020197
147197
2100197
3226197
4312197
5339197
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 re re) (*.f64 im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))
(+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))
(neg.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))
(neg.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))
(+.f64 (*.f64 im im) (*.f64 re re))
Outputs
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))
(fma.f64 re re (*.f64 im im))
(neg.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))
(neg.f64 (fma.f64 re re (*.f64 im im)))
(neg.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))
(neg.f64 (fma.f64 re re (*.f64 im im)))
(+.f64 (*.f64 im im) (*.f64 re re))
(fma.f64 re re (*.f64 im im))
Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 re re) (*.f64 im im))
Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
11131
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 re re) (*.f64 im im))
Outputs
(+.f64 (*.f64 re re) (*.f64 im im))

soundness0.0ms (0%)

Stop Event
fuel
Compiler

Compiled 9 to 5 computations (44.4% saved)

preprocess45.0ms (0.9%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 144 to 80 computations (44.4% saved)

end0.0ms (0%)

Profiling

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