math.square on complex, imaginary part

Time bar (total: 1.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
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 9 to 7 computations (22.2% saved)

sample874.0ms (73%)

Memory
-2.1MiB live, 859.9MiB allocated; 164ms collecting garbage
Samples
492.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 218.0ms
ival-mult!: 199.0ms (91.5% of total)
ival-add!: 17.0ms (7.8% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess108.0ms (9%)

Memory
-12.8MiB live, 80.0MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01644
14732
211130
316130
420530
530430
676930
7323230
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 re im) (*.f64 im re))
Symmetry

(negabs re)

(negabs im)

(sort re im)

Compiler

Compiled 10 to 10 computations (0% saved)

series6.0ms (0.5%)

Memory
17.4MiB live, 17.5MiB allocated; 0ms collecting garbage
Counts
5 → 4
Calls
Call 1
Inputs
(+.f64 (*.f64 re im) (*.f64 im re))
(*.f64 re im)
re
im
(*.f64 im re)
Outputs
#s(approx (+ (* re im) (* im re)) #s(hole binary64 (* 2 (* im re))))
#s(approx (* re im) #s(hole binary64 (* im re)))
#s(approx re #s(hole binary64 re))
#s(approx im #s(hole binary64 im))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
im
@-inf
((+ (* re im) (* im re)) (* re im) re im (* im re))
1.0ms
re
@-inf
((+ (* re im) (* im re)) (* re im) re im (* im re))
1.0ms
re
@inf
((+ (* re im) (* im re)) (* re im) re im (* im re))
1.0ms
im
@inf
((+ (* re im) (* im re)) (* re im) re im (* im re))
1.0ms
re
@0
((+ (* re im) (* im re)) (* re im) re im (* im re))

rewrite175.0ms (14.6%)

Memory
17.4MiB live, 194.8MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01441
01537
15137
219137
399637
Stop Event
iter-limit
unsound
node-limit
iter-limit
Counts
9 → 11
Calls
Call 1
Inputs
(+.f64 (*.f64 re im) (*.f64 im re))
(*.f64 re im)
re
im
(*.f64 im re)
#s(approx (+ (* re im) (* im re)) #s(hole binary64 (* 2 (* im re))))
#s(approx (* re im) #s(hole binary64 (* im re)))
#s(approx re #s(hole binary64 re))
#s(approx im #s(hole binary64 im))
Outputs
(+.f64 (*.f64 im re) (*.f64 im re))
(*.f64 im re)
(*.f64 re im)
re
im
(*.f64 im re)
(*.f64 re im)
#s(approx (+ (* re im) (* im re)) (+.f64 (*.f64 im re) (*.f64 im re)))
#s(approx (* re im) (*.f64 im re))
#s(approx re re)
#s(approx im im)

eval1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 29 to 18 computations (37.9% saved)

prune1.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New606
Fresh000
Picked011
Done000
Total617
Accuracy
100.0%
Counts
7 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 re im) (*.f64 im re))
Compiler

Compiled 10 to 10 computations (0% saved)

derivations0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 5 to 5 computations (0% saved)

preprocess32.0ms (2.7%)

Memory
19.5MiB live, 57.0MiB allocated; 17ms collecting garbage
Remove

(sort re im)

(negabs im)

(negabs re)

Compiler

Compiled 40 to 40 computations (0% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Profiling

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