math.sqrt on complex, real part

Time bar (total: 1.7s)

start0.0ms (0%)

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

analyze105.0ms (6.2%)

Memory
10.3MiB live, 105.9MiB allocated; 11ms collecting garbage
Algorithm
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)

sample1.2s (72.3%)

Memory
-12.1MiB live, 1 330.3MiB allocated; 445ms collecting garbage
Samples
416.0ms6 233×0valid
161.0ms748×2valid
140.0ms482×3valid
104.0ms793×1valid
Precisions
Click to see histograms. Total time spent on operations: 595.0ms
ival-hypot: 240.0ms (40.3% of total)
ival-mult: 132.0ms (22.2% of total)
ival-sqrt: 77.0ms (12.9% of total)
adjust: 69.0ms (11.6% of total)
ival-add: 64.0ms (10.8% of total)
exact: 9.0ms (1.5% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain175.0ms (10.3%)

Memory
27.9MiB live, 320.3MiB allocated; 12ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1300-1(-1.6874531921179333e-207 3.796275329405835e-156)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
330-0-(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
280-2(-2.5931581653518034e-201 -8.180227463387719e-258)(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
00-0-(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
00-0-(*.f64 re re)
00-0-im
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
00-0-re
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 im im)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))oflow-rescue1110
(+.f64 (*.f64 re re) (*.f64 im im))overflow111
(*.f64 re re)overflow67
(*.f64 im im)overflow61
+.f64(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)cancellation330
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))uflow-rescue260
(+.f64 (*.f64 re re) (*.f64 im im))underflow18
(*.f64 im im)underflow71
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))underflow7
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))underflow33
(*.f64 re re)underflow67
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)underflow33
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue180
(+.f64 (*.f64 re re) (*.f64 im im))underflow18
(*.f64 re re)underflow67
(*.f64 im im)underflow71
Confusion
Predicted +Predicted -
+1581
-097
Precision
1.0
Recall
0.9937106918238994
Confusion?
Predicted +Predicted MaybePredicted -
+15801
-0097
Precision?
1.0
Recall?
0.9937106918238994
Freqs
test
numberfreq
098
1128
230
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
37.0ms380×0valid
13.0ms32×3valid
12.0ms44×2valid
12.0ms56×1valid
Compiler

Compiled 169 to 40 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-hypot: 17.0ms (32.7% of total)
ival-mult: 16.0ms (30.8% of total)
adjust: 7.0ms (13.5% of total)
ival-add: 6.0ms (11.5% of total)
ival-sqrt: 5.0ms (9.6% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess189.0ms (11.1%)

Memory
-2.0MiB live, 93.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03692
111792
225790
344890
493590
5305790
6661190
01519
03319
14719
27619
311919
416319
523919
669219
7480619
0853619
Stop Event
iter limit
node limit
iter limit
node limit

end0.0ms (0%)

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

Profiling

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