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

Time bar (total: 1.2s)

analyze0.0ms (0%)

Algorithm
1×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)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)

sample996.0ms (85.3%)

Results
387.0ms6175×0valid
155.0ms2081×0infinite
Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-mult: 68.0ms (47.6% of total)
ival-sub: 61.0ms (42.7% of total)
const: 10.0ms (7% of total)
backward-pass: 3.0ms (2.1% of total)
Bogosity

preprocess52.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
136×fma-define
67×fma-neg
37×associate-*r*
34×distribute-lft-in
28×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01396
13478
27376
320775
439975
570475
671175
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
Outputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(neg.f64 (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (neg.f64 (neg.f64 x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 x (-.f64 #s(literal -1 binary64) x))

explain59.0ms (5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-#s(literal 1 binary64)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-(*.f64 x (-.f64 x #s(literal 1 binary64)))
Results
31.0ms376×256valid
10.0ms136×256infinite
Compiler

Compiled 30 to 20 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 8.0ms (60.4% of total)
ival-mult: 4.0ms (30.2% of total)
const: 1.0ms (7.5% of total)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize28.0ms (2.4%)

Results
15.0ms188×256valid
5.0ms68×256infinite
Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (53.8% of total)
ival-mult: 2.0ms (35.9% of total)
const: 1.0ms (17.9% of total)

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
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×1-exp
2×unsub-neg
2×sub-neg
2×*-commutative
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11719
22119
32419
42719
53019
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 x #s(literal -1 binary64)))

soundness0.0ms (0%)

Stop Event
1×done
Compiler

Compiled 6 to 4 computations (33.3% saved)

preprocess28.0ms (2.4%)

Compiler

Compiled 36 to 22 computations (38.9% saved)

end0.0ms (0%)

Profiling

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