Numeric.Integration.TanhSinh:simpson from integration-0.2.1

Time bar (total: 987.0ms)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
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)

sample479.0ms (48.6%)

Memory
46.1MiB live, 670.0MiB allocated
Samples
293.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-mult: 61.0ms (49.2% of total)
ival-add: 54.0ms (43.5% of total)
ival-true: 6.0ms (4.8% of total)
ival-assert: 3.0ms (2.4% of total)
Bogosity

explain245.0ms (24.8%)

Memory
-30.5MiB live, 91.0MiB allocated
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
21.0ms512×0valid
Compiler

Compiled 49 to 24 computations (51% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (57.3% of total)
ival-add: 3.0ms (43% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess22.0ms (2.2%)

Memory
33.9MiB live, 33.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
15125
213325
334025
444425
545225
045
065
1135
2205
3245
0245
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
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 y)

(negabs x)

(sort x y)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 x (+.f64 y y))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify26.0ms (2.6%)

Memory
-30.2MiB live, 6.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(+.f64 y y)
cost-diff0
(*.f64 x (+.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
11310
22010
32410
02410
Stop Event
1×iter limit
1×saturated
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

localize13.0ms (1.3%)

Memory
30.3MiB live, 30.3MiB allocated
Localize:

Found 2 expressions of interest:

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

Compiled 22 to 10 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (62.5% of total)
ival-add: 1.0ms (31.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (1%)

Memory
-15.8MiB live, 19.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x (+.f64 y y))
(+.f64 y y)
Outputs
(* 2 (* x y))
(* 2 y)
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((* x (+ y y)) (+ y y))
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))

simplify3.0ms (0.3%)

Memory
5.8MiB live, 5.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1118
2168
0168
Stop Event
1×iter limit
1×saturated
Counts
2 → 2
Calls
Call 1
Inputs
(* 2 (* x y))
(* 2 y)
Outputs
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)

rewrite37.0ms (3.8%)

Memory
-35.4MiB live, 63.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1228
01348
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
2 → 25
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 y x))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))
(/.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 y y)

eval2.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated
Compiler

Compiled 256 to 70 computations (72.7% saved)

prune1.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh000
Picked011
Done000
Total27128
Accuracy
100.0%
Counts
28 → 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)

simplify24.0ms (2.4%)

Memory
13.6MiB live, 51.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 y y))
Outputs
(*.f64 x (+.f64 y y))
(*.f64 (+.f64 y y) x)

soundness0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Stop Event
1×done
Compiler

Compiled 5 to 4 computations (20% saved)

preprocess124.0ms (12.6%)

Memory
6.5MiB live, 45.6MiB allocated
Remove

(sort x y)

(negabs x)

(negabs y)

Compiler

Compiled 80 to 64 computations (20% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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