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

Time bar (total: 2.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze137.0ms (5%)

Memory
4.9MiB live, 53.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%49.9%0.3%0%49.9%0%4
0%0%49.9%0.3%0%49.9%0%5
0%0%49.9%0.3%0%49.9%0%6
0%0%49.9%0.3%0%49.9%0%7
0%0%49.9%0.3%0%49.9%0%8
0%0%49.9%0.3%0%49.9%0%9
0%0%24.9%0.3%0%74.8%0%10
0%0%24.9%0.3%0%74.8%0%11
0%0%24.9%0.3%0%74.8%0%12
Compiler

Compiled 20 to 19 computations (5% saved)

sample42.0ms (1.5%)

Memory
-3.4MiB live, 12.6MiB allocated
Samples
22.0ms240×0valid
9.0ms20×1valid
Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-log: 10.0ms (43.8% of total)
ival-mult: 5.0ms (21.9% of total)
ival-sub: 4.0ms (17.5% of total)
ival-exp: 2.0ms (8.8% of total)
adjust: 1.0ms (4.4% of total)
ival-add: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

explain2.3s (83%)

Memory
9.7MiB live, 1 231.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(log.f64 (-.f64 #s(literal 1 binary64) z))
30-0-(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))
00-0-a
00-0-t
00-0-#s(literal 1 binary64)
00-0-(log.f64 z)
00-0-(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
00-0-y
00-0-(*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))
00-0-(-.f64 #s(literal 1 binary64) z)
00-0-(*.f64 y (-.f64 (log.f64 z) t))
00-0-(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)
00-0-z
00-0-(-.f64 (log.f64 z) t)
00-0-(exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))))
00-0-b
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (-.f64 #s(literal 1 binary64) z))sensitivity2560
+.f64(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))nan-rescue30
(*.f64 y (-.f64 (log.f64 z) t))overflow38
(*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b))overflow37
Confusion
Predicted +Predicted -
+90
-2470
Precision
0.03515625
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+900
-24700
Precision?
0.03515625
Recall?
1.0
2:
4:
8:
16:
32:
64:
128:
256:
512:
1024:
2048:
Freqs
test
numberfreq
1253
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
11.193115234375
Average Time
0.043723106384277344
Samples
807.0ms2 472×1valid
261.0ms552×2valid
6.0ms48×0valid
Compiler

Compiled 3 444 to 840 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 842.0ms
ival-log: 420.0ms (49.9% of total)
adjust: 174.0ms (20.7% of total)
ival-mult: 98.0ms (11.6% of total)
ival-sub: 87.0ms (10.3% of total)
ival-exp: 32.0ms (3.8% of total)
ival-add: 26.0ms (3.1% of total)
ival-true: 2.0ms (0.2% of total)
exact: 2.0ms (0.2% of total)
ival-assert: 1.0ms (0.1% of total)

preprocess266.0ms (9.6%)

Memory
1.9MiB live, 19.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159506
1370494
2924494
33269467
47761467
01718
02718
14218
27718
316517
433217
568117
6147617
7240817
8363917
9421817
10446117
11468817
12473517
13484417
14493517
15498317
16498717
17499317
18499517
19499517
20499517
0499516
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
Outputs
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
(*.f64 (exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))) x)
Symmetry

(negabs x)

Compiler

Compiled 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
Compiler

Compiled 36 to 34 computations (5.6% saved)

simplify20.0ms (0.7%)

Memory
2.8MiB live, 18.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01718
13018
24018
34618
44918
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
Outputs
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b)))))
(*.f64 (exp.f64 (+.f64 (*.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))) x)

soundness0.0ms (0%)

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

Compiled 18 to 17 computations (5.6% saved)

preprocess5.0ms (0.2%)

Memory
-5.4MiB live, 2.4MiB allocated
Remove

(negabs x)

Compiler

Compiled 144 to 136 computations (5.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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