math.sqrt on complex, real part

Time bar (total: 1.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze74.0ms (5.4%)

Memory
3.3MiB live, 27.8MiB allocated
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)

sample29.0ms (2.1%)

Memory
1.9MiB live, 10.2MiB allocated
Samples
11.0ms196×0valid
7.0ms37×2valid
2.0ms3valid
2.0ms18×1valid
Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-hypot: 7.0ms (42.9% of total)
ival-mult: 4.0ms (24.5% of total)
ival-sqrt: 2.0ms (12.3% of total)
ival-add: 2.0ms (12.3% of total)
adjust: 1.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain1.2s (88.4%)

Memory
8.0MiB live, 888.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1220-1(-1.833786744421167e-160 -4.4669855931681074e-257)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
3133(-8.410924327779538e-238 -8.693240156484033e-287)0-(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
300-30(-1.1864714882361378e+253 -8.430150932853893e-88)(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-rescue1030
(+.f64 (*.f64 re re) (*.f64 im im))overflow103
(*.f64 re re)overflow51
(*.f64 im im)overflow63
+.f64(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)cancellation640
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)underflow64
Confusion
Predicted +Predicted -
+1550
-299
Precision
0.9872611464968153
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+15500
-2099
Precision?
0.9872611464968153
Recall?
1.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
099
1129
228
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
6.924560546875
Average Time
0.02704906463623047
Samples
188.0ms2 316×0valid
101.0ms432×2valid
36.0ms216×1valid
34.0ms108×3valid
Compiler

Compiled 2 904 to 600 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 251.0ms
ival-hypot: 83.0ms (33% of total)
ival-mult: 81.0ms (32.2% of total)
ival-add: 33.0ms (13.1% of total)
ival-sqrt: 27.0ms (10.7% of total)
adjust: 21.0ms (8.4% of total)
exact: 3.0ms (1.2% of total)
ival-true: 2.0ms (0.8% of total)
ival-assert: 1.0ms (0.4% of total)

preprocess25.0ms (1.8%)

Memory
-4.5MiB live, 5.9MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.4%
(*.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)

simplify25.0ms (1.8%)

Memory
2.3MiB live, 18.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11615
Stop Event
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%)

Memory
0.2MiB live, 0.2MiB allocated
Stop Event
fuel
Compiler

Compiled 15 to 12 computations (20% saved)

preprocess5.0ms (0.4%)

Memory
-4.2MiB 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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