Numeric.Integration.TanhSinh:simpson from integration-0.2.1

Time bar (total: 1.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
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 7 to 6 computations (14.3% saved)

sample824.0ms (74.4%)

Memory
5.3MiB live, 819.2MiB allocated; 210ms collecting garbage
Samples
512.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-mult!: 172.0ms (79.1% of total)
ival-add!: 44.0ms (20.2% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

preprocess148.0ms (13.3%)

Memory
1.2MiB live, 45.8MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01332
14530
212530
319130
435530
559630
6308430
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 x (+.f64 y y))
Symmetry

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

series14.0ms (1.3%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
Stop Event
1×iter-limit
Counts
4 → 4
Calls
Call 1
Inputs
(*.f64 x (+.f64 y y))
x
(+.f64 y y)
y
Outputs
#s(approx (* x (+ y y)) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
#s(approx x x)
#s(approx (+ y y) (*.f64 #s(literal 2 binary64) y))
#s(approx y y)
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((* x (+ y y)) x (+ y y) y)
2.0ms
y
@inf
((* x (+ y y)) x (+ y y) y)
2.0ms
x
@-inf
((* x (+ y y)) x (+ y y) y)
2.0ms
x
@inf
((* x (+ y y)) x (+ y y) y)
1.0ms
y
@0
((* x (+ y y)) x (+ y y) y)

rewrite83.0ms (7.5%)

Memory
-19.9MiB live, 36.8MiB allocated; 70ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
02810
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
4 → 14
Calls
Call 1
Inputs
(*.f64 x (+.f64 y y))
x
(+.f64 y y)
y
Outputs
(*.f64 (+.f64 y y) x)
(*.f64 x (+.f64 y y))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x y))
(+.f64 (*.f64 y x) (*.f64 y x))
x
(*.f64 #s(literal 2 binary64) y)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y y)) y)
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(-.f64 y (neg.f64 y))
(+.f64 y y)
y

eval9.0ms (0.9%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 57 to 43 computations (24.6% saved)

prune2.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New14014
Fresh000
Picked011
Done000
Total14115
Accuracy
100.0%
Counts
15 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (+.f64 y y))
Compiler

Compiled 8 to 8 computations (0% saved)

derivations0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 4 to 4 computations (0% saved)

preprocess27.0ms (2.4%)

Memory
-10.3MiB live, 37.8MiB allocated; 12ms collecting garbage
Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 32 to 32 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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