Numeric.Integration.TanhSinh:simpson from integration-0.2.1

Time bar (total: 2.1s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample962.0ms (45.7%)

Memory
20.1MiB live, 910.1MiB allocated; 199ms collecting garbage
Samples
681.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-mult: 71.0ms (53.3% of total)
ival-add: 58.0ms (43.5% of total)
ival-assert: 3.0ms (2.3% of total)
adjust: 2.0ms (1.5% of total)
Bogosity

explain109.0ms (5.2%)

Memory
29.1MiB live, 73.1MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x (+.f64 y y))
00-0-(+.f64 y y)
00-0-y
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
87.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-add: 69.0ms (93.3% of total)
ival-mult: 5.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess370.0ms (17.6%)

Memory
15.9MiB live, 210.9MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
14130
210130
318130
433830
547230
6124130
7321730
8770730
045
065
1135
2295
3575
41245
52405
69415
741905
085415
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 y y))
Outputs
(*.f64 x (+.f64 y y))
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
Symmetry

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune20.0ms (1%)

Memory
-56.8MiB live, 0.9MiB allocated; 5ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 x (+.f64 y y))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify322.0ms (15.3%)

Memory
10.3MiB live, 257.5MiB allocated; 27ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y y)
cost-diff0
(*.f64 x (+.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
11310
22910
35710
412410
524010
694110
7419010
0854110
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 y y))
x
(+.f64 y y)
y
Outputs
(*.f64 x (+.f64 y y))
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
x
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y

localize17.0ms (0.8%)

Memory
-13.4MiB live, 31.9MiB allocated; 4ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y y)
accuracy0.0
(*.f64 x (+.f64 y y))
Samples
9.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (59.3% of total)
ival-add: 1.0ms (29.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x (+.f64 y y))
(+.f64 y y)
Outputs
#s(approx (* x (+ y y)) #s(hole binary64 (* 2 (* x y))))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
Calls

6 calls:

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

simplify219.0ms (10.4%)

Memory
-15.0MiB live, 133.3MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
12218
24518
310218
423618
581518
6472618
0814418
Stop Event
1×iter limit
1×node limit
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* x (+ y y)) #s(hole binary64 (* 2 (* x y))))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
Outputs
#s(approx (* x (+ y y)) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x (+ y y)) (*.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
#s(approx (+ y y) (*.f64 #s(literal 2 binary64) y))

rewrite36.0ms (1.7%)

Memory
7.8MiB live, 48.5MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1228
01378
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 24
Calls
Call 1
Inputs
(*.f64 x (+.f64 y y))
(+.f64 y y)
Outputs
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 y (+.f64 x x))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 y x) (*.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x)))))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 y) x))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 x) y))
(+.f64 (*.f64 y x) (*.f64 y x))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 y y)

eval2.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 249 to 67 computations (73.1% saved)

prune1.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New26026
Fresh000
Picked011
Done000
Total26127
Accuracy
100.0%
Counts
27 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 x (+.f64 y y))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify8.0ms (0.4%)

Memory
22.8MiB live, 22.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 y y))
Outputs
(*.f64 x (+.f64 y y))

derivations0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 5 to 4 computations (20% saved)

preprocess32.0ms (1.5%)

Memory
11.3MiB live, 56.3MiB allocated; 7ms collecting garbage
Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 80 to 64 computations (20% saved)

end0.0ms (0%)

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

Profiling

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