math.sqrt on complex, real part

Time bar (total: 556.0ms)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze76.0ms (13.7%)

Memory
3.2MiB live, 27.8MiB allocated
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
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
62.5%62.4%37.5%0.1%0%0%0%6
68.8%68.7%31.2%0.1%0%0%0%7
68.8%68.7%31.2%0.1%0%0%0%8
71.9%71.8%28.1%0.1%0%0%0%9
71.9%71.8%28.1%0.1%0%0%0%10
73.4%73.4%26.5%0.1%0%0%0%11
73.4%73.4%26.5%0.1%0%0%0%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample30.0ms (5.3%)

Memory
1.9MiB live, 10.1MiB allocated
Samples
11.0ms202×0valid
4.0ms19×2valid
4.0ms14×3valid
3.0ms25×1valid
Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-hypot: 7.0ms (44.1% of total)
ival-mult: 4.0ms (25.2% of total)
ival-sqrt: 2.0ms (12.6% of total)
ival-add: 2.0ms (12.6% of total)
adjust: 1.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain398.0ms (71.7%)

Memory
4.7MiB live, 142.0MiB allocated
Confusion
Predicted +Predicted -
+11539
-0102
Precision
1.0
Recall
0.7467532467532467
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Samples
144.0ms2 388×0valid
43.0ms168×3valid
42.0ms216×2valid
37.0ms300×1valid
Compiler

Compiled 564 to 420 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 194.0ms
ival-hypot: 82.0ms (42.3% of total)
ival-mult: 43.0ms (22.2% of total)
ival-sqrt: 26.0ms (13.4% of total)
ival-add: 19.0ms (9.8% of total)
adjust: 17.0ms (8.8% of total)
exact: 3.0ms (1.5% of total)
ival-true: 2.0ms (1% of total)
ival-assert: 1.0ms (0.5% of total)

preprocess26.0ms (4.6%)

Memory
-1.6MiB live, 5.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03075
19475
216975
325975
439675
552375
664575
774575
877375
01215
02015
13015
23215
03210
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (hypot.f64 im re) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
Symmetry

(abs im)

Compiler

Compiled 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0.1%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Compiler

Compiled 30 to 24 computations (20% saved)

simplify20.0ms (3.6%)

Memory
-0.6MiB live, 18.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11615
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))

soundness0.0ms (0.1%)

Memory
0.3MiB live, 0.3MiB allocated
Stop Event
1×fuel
Compiler

Compiled 15 to 12 computations (20% saved)

preprocess5.0ms (0.9%)

Memory
-4.3MiB live, 3.6MiB allocated
Remove

(abs im)

Compiler

Compiled 198 to 138 computations (30.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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