Numeric.Integration.TanhSinh:simpson from integration-0.2.1

Time bar (total: 875.0ms)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 8 to 5 computations (37.5% saved)

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

sample726.0ms (83%)

Results
446.0ms7206×0valid
68.0ms1050×0infinite
Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-mult: 72.0ms (50.6% of total)
ival-add: 59.0ms (41.5% of total)
const: 8.0ms (5.6% of total)
backward-pass: 4.0ms (2.8% of total)
Bogosity

preprocess47.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
83×fma-neg
78×fma-define
40×distribute-lft-neg-in
35×associate-*r*
27×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019141
158133
2153133
3382133
4540133
5628133
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 y y))
(*.f64 x (+.f64 y y))
(*.f64 (neg.f64 x) (+.f64 y y))
(*.f64 x (+.f64 (neg.f64 y) (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 x) (+.f64 y y)))
(neg.f64 (*.f64 x (+.f64 (neg.f64 y) (neg.f64 y))))
(*.f64 y (+.f64 x x))
Outputs
(*.f64 x (+.f64 y y))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x (+.f64 y y))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (+.f64 y y))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(*.f64 x (+.f64 (neg.f64 y) (neg.f64 y)))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (+.f64 y y)))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(neg.f64 (*.f64 x (+.f64 (neg.f64 y) (neg.f64 y))))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 x x))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
Symmetry

(negabs x)

(negabs y)

(sort x y)

explain50.0ms (5.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-y
00-0-(+.f64 y y)
00-0-(*.f64 x (+.f64 y y))
Results
31.0ms454×256valid
4.0ms58×256infinite
Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (54.5% of total)
ival-add: 3.0ms (40.9% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 x (+.f64 y y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

localize24.0ms (2.7%)

Results
17.0ms227×256valid
2.0ms29×256infinite
Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (53.8% of total)
ival-mult: 2.0ms (53.8% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 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 y y))
Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922
11022
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 y y))
Outputs
(*.f64 x (+.f64 y y))

soundness0.0ms (0%)

Stop Event
1×done
Compiler

Compiled 7 to 4 computations (42.9% saved)

preprocess24.0ms (2.7%)

Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 112 to 64 computations (42.9% saved)

end0.0ms (0%)

Profiling

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