math.square on complex, imaginary part

Time bar (total: 887.0ms)

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)

sample630.0ms (71%)

Memory
2.6MiB live, 951.7MiB allocated; 294ms collecting garbage
Samples
372.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-mult!: 138.0ms (87.6% of total)
ival-add!: 18.0ms (11.4% of total)
adjust: 1.0ms (0.6% of total)
Bogosity

preprocess92.0ms (10.3%)

Memory
-23.3MiB live, 75.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01644
13832
28230
315430
422030
533430
682630
7311030
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 (0.6%)

Memory
10.8MiB live, 10.8MiB 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
1.0ms
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))

rewrite34.0ms (3.9%)

Memory
-7.0MiB live, 39.7MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01441
01537
14625
019325
Stop Event
iter-limit
iter-limit
iter-limit
unsound
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
#s(literal 2 binary64)
(*.f64 im re)
(*.f64 re im)
re
im
(*.f64 im re)
(*.f64 re im)
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
#s(approx (* re im) (*.f64 im re))
#s(approx re re)
#s(approx im im)

eval1.0ms (0.1%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 24 to 19 computations (20.8% saved)

prune1.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New516
Fresh000
Picked011
Done000
Total527
Accuracy
100.0%
Counts
7 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 re im) (*.f64 im re))
4.8%
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
Compiler

Compiled 12 to 12 computations (0% saved)

series2.0ms (0.2%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (+ (* re im) (* im re)) #s(hole binary64 (* 2 (* im re))))
Calls

6 calls:

TimeVariablePointExpression
0.0ms
re
@-inf
((+ (* re im) (* im re)) 2)
0.0ms
im
@-inf
((+ (* re im) (* im re)) 2)
0.0ms
re
@0
((+ (* re im) (* im re)) 2)
0.0ms
re
@inf
((+ (* re im) (* im re)) 2)
0.0ms
im
@inf
((+ (* re im) (* im re)) 2)

rewrite46.0ms (5.2%)

Memory
-12.8MiB live, 34.5MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
0915
1387
01857
Stop Event
iter-limit
iter-limit
iter-limit
unsound
saturated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* re im) (* im re)) #s(hole binary64 (* 2 (* im re))))
Outputs
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0.1%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Accuracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 re im) (*.f64 im re))
4.8%
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
Compiler

Compiled 22 to 22 computations (0% saved)

regimes4.0ms (0.4%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
(+.f64 (*.f64 re im) (*.f64 im re))
Outputs
(+.f64 (*.f64 re im) (*.f64 im re))
Calls

3 calls:

1.0ms
im
1.0ms
re
1.0ms
(+.f64 (*.f64 re im) (*.f64 im re))
Results
AccuracySegmentsBranch
100.0%1(+.f64 (*.f64 re im) (*.f64 im re))
100.0%1re
100.0%1im
Compiler

Compiled 7 to 9 computations (-28.6% saved)

regimes3.0ms (0.4%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
Outputs
#s(approx (+ (* re im) (* im re)) #s(literal 2 binary64))
Calls

3 calls:

1.0ms
im
1.0ms
re
1.0ms
(+.f64 (*.f64 re im) (*.f64 im re))
Results
AccuracySegmentsBranch
4.8%1(+.f64 (*.f64 re im) (*.f64 im re))
4.8%1re
4.8%1im
Compiler

Compiled 7 to 9 computations (-28.6% saved)

derivations2.0ms (0.2%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 10 to 10 computations (0% saved)

preprocess65.0ms (7.4%)

Memory
-5.6MiB live, 42.7MiB allocated; 6ms collecting garbage
Remove

(sort re im)

Compiler

Compiled 115 to 115 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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