math.sqrt on complex, real part

Time bar (total: 202.0ms)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze81.0ms (40.2%)

Memory
3.1MiB live, 27.6MiB 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)

sample32.0ms (15.7%)

Memory
2.0MiB live, 10.2MiB allocated
Samples
12.0ms194×0valid
5.0ms28×2valid
4.0ms31×1valid
2.0ms7×3valid
Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-hypot: 7.0ms (40.3% of total)
ival-mult: 4.0ms (23% of total)
ival-sqrt: 3.0ms (17.3% of total)
adjust: 2.0ms (11.5% of total)
ival-add: 2.0ms (11.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain36.0ms (17.8%)

Memory
-3.3MiB live, 12.1MiB allocated
Confusion
Predicted +Predicted -
+11442
-199
Precision
0.991304347826087
Recall
0.7307692307692307
Samples
13.0ms191×0valid
6.0ms27×2valid
4.0ms31×1valid
2.0ms7×3valid
Compiler

Compiled 47 to 35 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-hypot: 8.0ms (45.3% of total)
ival-mult: 4.0ms (22.7% of total)
adjust: 2.0ms (11.3% of total)
ival-sqrt: 2.0ms (11.3% of total)
ival-add: 2.0ms (11.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess25.0ms (12.3%)

Memory
5.9MiB 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)

prune2.0ms (1.2%)

Memory
-6.9MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.9%
(*.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 (10.1%)

Memory
0.8MiB 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 (0.2%)

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

Compiled 15 to 12 computations (20% saved)

preprocess5.0ms (2.5%)

Memory
3.6MiB 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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