Numeric.SpecFunctions:incompleteBetaApprox from math-functions-0.1.5.2, A

Time bar (total: 1.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze31.0ms (2.6%)

Memory
2.8MiB live, 11.9MiB 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
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
62.5%62.4%37.5%0.1%0%0%0%6
71.9%71.8%28.1%0.1%0%0%0%7
76.6%76.5%23.4%0.1%0%0%0%8
83.6%83.5%16.4%0.1%0%0%0%9
87.1%87%12.9%0.1%0%0%0%10
91.2%91.1%8.8%0.1%0%0%0%11
93.3%93.2%6.7%0.1%0%0%0%12
Compiler

Compiled 19 to 11 computations (42.1% saved)

sample20.0ms (1.6%)

Memory
0.2MiB live, 7.9MiB allocated
Samples
13.0ms260×0valid
Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (48.9% of total)
ival-add: 2.0ms (24.4% of total)
ival-div: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

explain802.0ms (65.1%)

Memory
8.0MiB live, 667.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
820-3(4.4212591798529873e-128 4.988209133320389e-186)(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
066(3.0652174536495324e-140 -1.1373803165047832e+229)0-(+.f64 (+.f64 x y) #s(literal 1 binary64))
00-0-(*.f64 x y)
00-0-y
00-0-(+.f64 x y)
00-0-(*.f64 (+.f64 x y) (+.f64 x y))
00-0-(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (+.f64 x y) #s(literal 1 binary64))cancellation660
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))o/o300
(*.f64 x y)overflow30
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))overflow138
(*.f64 (+.f64 x y) (+.f64 x y))overflow100
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))n/o230
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))overflow138
(*.f64 (+.f64 x y) (+.f64 x y))overflow100
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))u/n160
(*.f64 x y)underflow26
/.f64(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))u/u100
(*.f64 x y)underflow26
(*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64)))underflow10
(*.f64 (+.f64 x y) (+.f64 x y))underflow10
Confusion
Predicted +Predicted -
+793
-65109
Precision
0.5486111111111112
Recall
0.9634146341463414
Confusion?
Predicted +Predicted MaybePredicted -
+7903
-650109
Precision?
0.5486111111111112
Recall?
0.9634146341463414
Freqs
test
numberfreq
0112
1143
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
5.484375
Average Time
0.02142333984375
Samples
172.0ms3 072×0valid
Compiler

Compiled 2 064 to 456 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-mult: 50.0ms (51.1% of total)
ival-add: 26.0ms (26.6% of total)
ival-div: 16.0ms (16.4% of total)
ival-true: 2.0ms (2% of total)
exact: 2.0ms (2% of total)
adjust: 1.0ms (1% of total)
ival-assert: 1.0ms (1% of total)

preprocess325.0ms (26.4%)

Memory
-1.1MiB live, 74.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02597
112987
271885
3421785
0917
01517
14417
216817
354417
4228617
5308717
6346217
7354817
8357717
9361717
10769217
11781417
12783317
13783417
14783417
15784917
16784917
17784917
0941516
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 y x) (fma.f64 (+.f64 y x) (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
Symmetry

(sort x y)

Compiler

Compiled 17 to 9 computations (47.1% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.3%
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify50.0ms (4%)

Memory
-3.8MiB live, 18.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11617
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 x y) (*.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) (+.f64 y x))))

soundness0.0ms (0%)

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

Compiled 17 to 9 computations (47.1% saved)

preprocess3.0ms (0.3%)

Memory
2.4MiB live, 2.4MiB allocated
Remove

(sort x y)

Compiler

Compiled 174 to 94 computations (46% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...