Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2

Time bar (total: 968.0ms)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample821.0ms (84.8%)

Results
571.0ms6164×body256valid
217.0ms2092×body256infinite
Bogosity

preprocess31.0ms (3.2%)

Algorithm
egg-herbie
Rules
446×fma-def
58×unsub-neg
50×associate-*r*
44×distribute-lft-in
32×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01034
12232
25330
312722
427022
541422
656522
757922
858022
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 x 1))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) 1))
Outputs
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
(-.f64 (*.f64 x x) x)
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) 1))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) -1))
(*.f64 x (neg.f64 (fma.f64 -1 x -1)))
(*.f64 x (neg.f64 (-.f64 -1 x)))
(fma.f64 x x x)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify13.0ms (1.4%)

Algorithm
egg-herbie
Rules
314×fma-def
34×cancel-sign-sub-inv
32×distribute-rgt-in
28×distribute-lft-neg-in
24×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11313
21913
32513
42913
53413
64513
76513
813613
925813
1036513
1138713
1238913
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(*.f64 x (-.f64 x 1))
Outputs
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
(-.f64 (*.f64 x x) x)

eval1.0ms (0.1%)

Compiler

Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
100.0%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x x) x)
100.0%
(-.f64 (*.f64 x x) x)
Compiler

Compiled 12 to 6 computations (50% saved)

localize17.0ms (1.8%)

Compiler

Compiled 11 to 4 computations (63.6% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accurracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x x) x)
Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes9.0ms (0.9%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x (-.f64 x 1))
(-.f64 (*.f64 x x) x)
Outputs
(-.f64 (*.f64 x x) x)
Calls

2 calls:

5.0ms
(*.f64 x (-.f64 x 1))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 x (-.f64 x 1))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes6.0ms (0.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x (-.f64 x 1))
Outputs
(*.f64 x (-.f64 x 1))
Calls

2 calls:

3.0ms
x
2.0ms
(*.f64 x (-.f64 x 1))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 x (-.f64 x 1))
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify5.0ms (0.6%)

Algorithm
egg-herbie
Rules
12×unsub-neg
10×neg-mul-1
sub-neg
+-commutative
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
11626
22326
32926
43726
54826
Stop Event
done
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) x)
(*.f64 x (-.f64 x 1))
Outputs
(-.f64 (*.f64 x x) x)
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
Compiler

Compiled 12 to 7 computations (41.7% saved)

soundness32.0ms (3.3%)

Rules
314×fma-def
34×cancel-sign-sub-inv
32×distribute-rgt-in
28×distribute-lft-neg-in
24×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11313
21913
32513
42913
53413
64513
76513
813613
925813
1036513
1138713
1238913
Stop Event
saturated
Compiler

Compiled 38 to 19 computations (50% saved)

end0.0ms (0%)

preprocess31.0ms (3.2%)

Compiler

Compiled 46 to 26 computations (43.5% saved)

Profiling

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