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

Time bar (total: 11.8s)

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)

sample11.5s (97.9%)

Results
1.1s8256×0valid
574.0ms8209×0valid-sollya
40.0ms47×0exit-sollya
Sollya Eval
PtRival-outSollya-intervalSollya-pointstatusSollya statusRival itersollya-timecheck
(1.0124048459603998e-227)-1.0124048459603998e-227(-1.0124048459603998e-227 -1.0124048459603998e-227)+nan.0validexit00.078995#f
(1.6234688156321855e-230)-1.6234688156321855e-230(-1.6234688156321855e-230 -1.6234688156321855e-230)+nan.0validexit00.08234#f
(8.34380408815978e-263)-8.34380408815978e-263(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.1674076634342206e-58)1.1674076634342206e-58(1.1674076634342206e-58 1.1674076634342206e-58)+nan.0validexit00.175966#f
(2.1700746155280155e+167)+inf.0(+inf.0 +inf.0)+nan.0validexit00.13747499999999999#f
(-17747146975574382.0)3.1496122577263897e+32(3.1496122577263897e+32 3.1496122577263897e+32)+nan.0validexit00.030978000000000002#f
(-1.8976931838292173e-98)1.8976931838292173e-98(1.8976931838292173e-98 1.8976931838292173e-98)+nan.0validexit00.07527800000000001#f
(-4.0075636555580416e-277)4.0075636555580416e-277(4.0075636555580416e-277 4.0075636555580416e-277)+nan.0validexit00.174027#f
(-2.057035024218875e-272)2.057035024218875e-272(2.057035024218875e-272 2.057035024218875e-272)+nan.0validexit00.16333799999999998#f
(2.3189765879288335e+255)+inf.0(+inf.0 +inf.0)+nan.0validexit00.092619#f
(3.6531136964430806e-173)-3.6531136964430806e-173(-3.6531136964430806e-173 -3.6531136964430806e-173)+nan.0validexit00.180813#f
(3.3799065021027003e-199)-3.3799065021027003e-199(+nan.0 +nan.0)+nan.0validexit05.0#f
(-2.1158425578481693e+192)+inf.0(+inf.0 +inf.0)+nan.0validexit00.08667599999999999#f
(2.7500377196602466e+239)+inf.0(+inf.0 +inf.0)+nan.0validexit00.21984#f
(6.178979596633691e-216)-6.178979596633691e-216(-6.178979596633691e-216 -6.178979596633691e-216)+nan.0validexit00.15265299999999998#f
(-2.1193568706126132e+56)4.4916735450128894e+112(4.4916735450128894e+112 4.4916735450128894e+112)+nan.0validexit00.09063199999999999#f
(-3.36134881965032e-294)3.36134881965032e-294(3.36134881965032e-294 3.36134881965032e-294)+nan.0validexit00.091405#f
(-1.7992557499160545e-66)1.7992557499160545e-66(1.7992557499160545e-66 1.7992557499160545e-66)+nan.0validexit00.157947#f
(1.4660391998700339e+287)+inf.0(+inf.0 +inf.0)+nan.0validexit00.21477000000000002#f
(6.518420874377619e+192)+inf.0(+inf.0 +inf.0)+nan.0validexit00.18346200000000001#f
(9.491171516112238e+265)+inf.0(+inf.0 +inf.0)+nan.0validexit00.09915#f
(-5.76494312524994e+296)+inf.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(3.3009515702969385e-156)-3.3009515702969385e-156(-3.3009515702969385e-156 -3.3009515702969385e-156)+nan.0validexit00.07947499999999999#f
(-2.9254579872905178e+87)8.558304435401888e+174(8.558304435401888e+174 8.558304435401888e+174)+nan.0validexit00.096269#f
(2.832058460982377e-50)-2.832058460982377e-50(-2.832058460982377e-50 -2.832058460982377e-50)+nan.0validexit00.08269900000000001#f
(-7.112920884586161e-54)7.112920884586161e-54(7.112920884586161e-54 7.112920884586161e-54)+nan.0validexit00.08634199999999999#f
(-1.1452776675065003e-100)1.1452776675065003e-100(1.1452776675065003e-100 1.1452776675065003e-100)+nan.0validexit00.171479#f
(-9.645901063975868e+80)9.304340733601079e+161(9.304340733601079e+161 9.304340733601079e+161)+nan.0validexit00.141146#f
(-8.504226230521642e-84)8.504226230521642e-84(8.504226230521642e-84 8.504226230521642e-84)+nan.0validexit00.07447#f
(-4.495934573808758e-43)4.495934573808758e-43(4.495934573808758e-43 4.495934573808758e-43)+nan.0validexit00.084943#f
(-6.595649104907139e-57)6.595649104907139e-57(6.595649104907139e-57 6.595649104907139e-57)+nan.0validexit00.094614#f
(1.2782891631680163e-172)-1.2782891631680163e-172(-1.2782891631680163e-172 -1.2782891631680163e-172)+nan.0validexit00.211132#f
(2.7969779038585296e-138)-2.7969779038585296e-138(-2.7969779038585296e-138 -2.7969779038585296e-138)+nan.0validexit00.080016#f
(-2.3126333265449567e+278)+inf.0(+inf.0 +inf.0)+nan.0validexit00.099758#f
(-2.98955493169353e-94)2.98955493169353e-94(2.98955493169353e-94 2.98955493169353e-94)+nan.0validexit00.08145999999999999#f
(4.143959904810004e-233)-4.143959904810004e-233(-4.143959904810004e-233 -4.143959904810004e-233)+nan.0validexit00.152495#f
(-2.1626347172522117e+25)4.676988920264554e+50(4.676988920264554e+50 4.676988920264554e+50)+nan.0validexit00.15854500000000002#f
(2.3912395666985627e+207)+inf.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(-1.433298709564086e+72)2.0543451908380742e+144(2.0543451908380742e+144 2.0543451908380742e+144)+nan.0validexit00.166656#f
(8.657505033093292e+233)+inf.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(2.849855840024402e+233)+inf.0(+nan.0 +nan.0)+nan.0validexit05.0#f
(1.6379726769560727e+81)2.6829544904546427e+162(+nan.0 +nan.0)+nan.0validexit05.0#f
(-6.13273720528449e+123)3.7610465629080616e+247(3.7610465629080616e+247 3.7610465629080616e+247)+nan.0validexit00.177449#f
(-1.7724431530926575e-270)1.7724431530926575e-270(1.7724431530926575e-270 1.7724431530926575e-270)+nan.0validexit00.192231#f
(-5.567881923953786e-221)5.567881923953786e-221(5.567881923953786e-221 5.567881923953786e-221)+nan.0validexit00.158051#f
(-2.5633366636505643e+120)6.570694851215206e+240(6.570694851215206e+240 6.570694851215206e+240)+nan.0validexit00.126415#f
(3.114493315916514e-126)-3.114493315916514e-126(-3.114493315916514e-126 -3.114493315916514e-126)+nan.0validexit00.222459#f
Sollya timings
Total time spent in Sollya 614.0ms
Bogosity

preprocess160.0ms (1.4%)

Algorithm
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
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))
Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

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%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11719
22119
32419
42719
53019
Stop Event
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
fuel
Compiler

Compiled 6 to 4 computations (33.3% saved)

preprocess77.0ms (0.7%)

Compiler

Compiled 36 to 22 computations (38.9% saved)

end0.0ms (0%)

Profiling

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