Numeric.Integration.TanhSinh:simpson from integration-0.2.1

Time bar (total: 1.2s)

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)

sample1.1s (86.9%)

Results
651.0ms7249×0valid
63.0ms1007×0infinite
Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-mult: 79.0ms (53% of total)
ival-add: 58.0ms (38.9% of total)
const: 8.0ms (5.4% of total)
backward-pass: 4.0ms (2.7% of total)
Bogosity

preprocess51.0ms (4.1%)

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 #s(literal 2 binary64) y))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 x (+.f64 y y))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (+.f64 y y))
(*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 x))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(*.f64 x (+.f64 (neg.f64 y) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 x))
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (+.f64 y y)))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(neg.f64 (*.f64 x (+.f64 (neg.f64 y) (neg.f64 y))))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 x x))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 x (*.f64 y #s(literal 2 binary64)))
Symmetry

(negabs x)

(negabs y)

(sort x y)

explain53.0ms (4.3%)

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
34.0ms444×256valid
5.0ms68×256infinite
Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 4.0ms (47.7% of total)
ival-mult: 4.0ms (47.7% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% 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)

localize26.0ms (2.1%)

Results
17.0ms222×256valid
2.0ms34×256infinite
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 (51.8% of total)
ival-mult: 2.0ms (51.8% 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)

preprocess26.0ms (2.1%)

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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