Jmat.Real.lambertw, newton loop step

Time bar (total: 1.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze66.0ms (5.4%)

Memory
0.7MiB live, 25.2MiB 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
50%50%50%0.1%0%0%0%5
62.5%62.4%37.5%0.1%0%0%0%6
62.5%62.4%37.5%0.1%0%0%0%7
68.8%68.7%31.2%0.1%0%0%0%8
68.8%68.7%31.2%0.1%0%0%0%9
71.9%71.8%28.1%0.1%0%0%0%10
71.9%71.8%28.1%0.1%0%0%0%11
73.4%73.4%26.5%0.1%0%0%0%12
Compiler

Compiled 18 to 10 computations (44.4% saved)

sample47.0ms (3.8%)

Memory
2.2MiB live, 18.2MiB allocated
Samples
12.0ms233×0exit
11.0ms212×0valid
6.0ms48×1valid
Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-exp: 5.0ms (26.7% of total)
ival-sub: 4.0ms (21.3% of total)
ival-div: 3.0ms (16% of total)
ival-mult: 3.0ms (16% of total)
ival-add: 2.0ms (10.7% of total)
adjust: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
Bogosity

explain894.0ms (73.3%)

Memory
4.3MiB live, 680.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
520-0-(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
20-0-(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))
00-0-(-.f64 (*.f64 wj (exp.f64 wj)) x)
00-0-(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
00-0-(*.f64 wj (exp.f64 wj))
00-0-(exp.f64 wj)
00-0-wj
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))cancellation521
/.f64(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))o/o20
↳(*.f64 wj (exp.f64 wj))overflow2
↳(-.f64 (*.f64 wj (exp.f64 wj)) x)overflow2
↳(exp.f64 wj)overflow2
↳(*.f64 wj (exp.f64 wj))overflow2
↳(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))overflow2
↳(exp.f64 wj)overflow4
Confusion
Predicted +Predicted -
+542
-0200
Precision
1.0
Recall
0.9642857142857143
Confusion?
Predicted +Predicted MaybePredicted -
+5402
-01199
Precision?
0.9818181818181818
Recall?
0.9642857142857143
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
0202
154
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
7.667724609375
Average Time
0.029952049255371094
Samples
138.0ms2 508×0valid
80.0ms564×1valid
Compiler

Compiled 2 052 to 408 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-exp: 38.0ms (27.4% of total)
ival-sub: 30.0ms (21.6% of total)
ival-mult: 22.0ms (15.8% of total)
ival-div: 20.0ms (14.4% of total)
ival-add: 14.0ms (10.1% of total)
adjust: 12.0ms (8.6% of total)
ival-true: 2.0ms (1.4% of total)
ival-assert: 1.0ms (0.7% of total)

preprocess174.0ms (14.3%)

Memory
-0.4MiB live, 30.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02489
16987
224075
399064
4416460
5715460
0816
01415
12615
26115
317212
452912
5151912
6348912
7478612
8592912
9703612
0815412
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
Outputs
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
(-.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 #s(literal -1 binary64) wj)))
Compiler

Compiled 16 to 8 computations (50% 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
80.9%
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
Compiler

Compiled 32 to 16 computations (50% saved)

simplify37.0ms (3%)

Memory
-0.4MiB live, 18.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11416
22616
34116
47116
59916
611616
717416
832016
942716
1043216
1143916
1244416
1345116
1445516
1545616
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
Outputs
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))
(-.f64 wj (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))))

soundness0.0ms (0%)

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

Compiled 16 to 8 computations (50% saved)

preprocess2.0ms (0.1%)

Memory
1.3MiB live, 1.3MiB allocated
Compiler

Compiled 98 to 54 computations (44.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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