Numeric.Integration.TanhSinh:simpson from integration-0.2.1

Time bar (total: 2.4s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
100.0%99.9%0.0%0.1%0.0%0.0%0.0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample629.0ms (26.4%)

Memory
47.7MiB live, 718.5MiB allocated; 150ms collecting garbage
Samples
380.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-mult!: 68.0ms (46.5% of total)
ival-add!: 61.0ms (41.7% of total)
adjust: 17.0ms (11.6% of total)
Bogosity

preprocess102.0ms (4.3%)

Memory
-30.5MiB live, 58.9MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01332
14530
212530
319130
435530
559630
6308430
Stop Event
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 10 to 8 computations (20.0% saved)

series15.0ms (0.6%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

6 calls:

TimeVariablePoint
1.0ms
y
-inf
1.0ms
x
-inf
1.0ms
y
inf
1.0ms
x
inf
1.0ms
y
0

rewrite115.0ms (4.8%)

Memory
11.6MiB live, 109.8MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
12810
29310
324210
457210
5196310
0410510
Stop Event
iter-limit
node-limit
iter-limit
Counts
4 → 185
Calls
Call 1
Inputs
x
y
(+.f64 y y)
(*.f64 x (+.f64 y y))
Outputs
x
y
(*.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) y))
(*.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) y)) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 (neg.f64 y) #s(literal -2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y y)) y)
(*.f64 #s(literal 1 binary64) (+.f64 y y))
(*.f64 (+.f64 y y) #s(literal 1 binary64))
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal 8 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 8 binary64) y)) #s(literal -4 binary64))
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) (*.f64 (+.f64 y y) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (+.f64 (+.f64 y y) (+.f64 y y))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 y y)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 8 binary64) (+.f64 y y))) #s(literal -8 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 y y) #s(literal 8 binary64))) #s(literal -8 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (+.f64 y y))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 y y) #s(literal 4 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 y y) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (+.f64 y y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y))) #s(literal -2 binary64))
(/.f64 (*.f64 y #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) y) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) (*.f64 (+.f64 y y) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 (+.f64 y y) (+.f64 y y)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 y y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 y y)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 y y) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (+.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) (+.f64 y y)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 y y)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 y y) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (+.f64 y y) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (neg.f64 y) (neg.f64 y))) (+.f64 y (neg.f64 y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 y y) (+.f64 (*.f64 (neg.f64 y) (neg.f64 y)) (*.f64 y (neg.f64 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))) (+.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 y y))))
(/.f64 (+.f64 y y) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(-.f64 y (neg.f64 y))
(+.f64 #s(literal 0 binary64) (+.f64 y y))
(+.f64 (+.f64 y y) #s(literal 0 binary64))
(+.f64 y (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(+.f64 y y)
(*.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) y)
(*.f64 (*.f64 (*.f64 (+.f64 y y) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(*.f64 (-.f64 (neg.f64 x) x) (neg.f64 y))
(*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 y x))) (*.f64 y x))
(*.f64 (+.f64 x x) y)
(*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(*.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 y) x) #s(literal -2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 y x))) (*.f64 y x))
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 x) x))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y y) x))
(*.f64 (*.f64 (+.f64 y y) x) #s(literal 1 binary64))
(*.f64 (+.f64 y y) x)
(*.f64 y (*.f64 #s(literal -2 binary64) (neg.f64 x)))
(*.f64 y (+.f64 x x))
(*.f64 x (+.f64 y y))
(/.f64 (neg.f64 (*.f64 (*.f64 y x) #s(literal 8 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y y) x) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y y) x) #s(literal 4 binary64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y y) x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 y x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 y y) (+.f64 x x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) (+.f64 y y))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 y x) #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 y y) x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 y y) x) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 y y) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 y x) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x)) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 y y) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) (+.f64 y y)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 (*.f64 y x) (*.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (+.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 y x) (*.f64 (neg.f64 y) x)))))
(/.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))) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y x) (*.f64 y x)))))
(/.f64 (*.f64 (+.f64 y y) x) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 y x))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64) (neg.f64 x) y)
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64) (neg.f64 y) x)
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64) y (neg.f64 x))
(134-z0z1z2z3z4 #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64) x (neg.f64 y))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64) (*.f64 y x))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 x) y)
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y x)) (neg.f64 y) x)
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y x)) y (neg.f64 x))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 y x)) x (neg.f64 y))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) (neg.f64 y) #s(literal -1 binary64) (*.f64 y x))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) (neg.f64 y) (neg.f64 x) y)
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) (neg.f64 y) (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) (neg.f64 y) (neg.f64 y) x)
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) (neg.f64 y) #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) (neg.f64 y) y (neg.f64 x))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) (neg.f64 y) x (neg.f64 y))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal -1 binary64) (*.f64 y x))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (neg.f64 x) y)
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(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 y) (neg.f64 x) y (neg.f64 x))
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(134-z0z1z2z3z4 #s(literal 1 binary64) x y (neg.f64 x) y)
(134-z0z1z2z3z4 #s(literal 1 binary64) x y (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(134-z0z1z2z3z4 #s(literal 1 binary64) x y (neg.f64 y) x)
(134-z0z1z2z3z4 #s(literal 1 binary64) x y #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(134-z0z1z2z3z4 #s(literal 1 binary64) x y y (neg.f64 x))
(134-z0z1z2z3z4 #s(literal 1 binary64) x y x (neg.f64 y))
(neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(-.f64 (*.f64 y x) (*.f64 #s(literal -1 binary64) (*.f64 y x)))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (*.f64 (+.f64 y y) x) #s(literal 0 binary64)) (*.f64 (+.f64 y y) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y y) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y y) x)))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 y y) x)) (*.f64 (+.f64 y y) x))
(+.f64 (*.f64 y x) (*.f64 y x))
(+.f64 (*.f64 (+.f64 y y) x) (*.f64 (*.f64 (+.f64 y y) x) #s(literal 0 binary64)))
(+.f64 (*.f64 (+.f64 y y) x) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(+.f64 (*.f64 (+.f64 y y) x) (*.f64 #s(literal 0 binary64) (*.f64 (+.f64 y y) x)))
(+.f64 (*.f64 (+.f64 y y) x) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(+.f64 (*.f64 (+.f64 y y) x) #s(literal 0 binary64))

eval1.5s (62.8%)

Memory
-22.0MiB live, 1 895.5MiB allocated; 492ms collecting garbage
Samples
1.0s16 516×0valid
90.0ms1 404×0invalid
Compiler

Compiled 1 825 to 365 computations (80.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 351.0ms
ival-mult!: 271.0ms (77.2% of total)
ival-sub!: 54.0ms (15.4% of total)
adjust: 26.0ms (7.4% of total)

prune5.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1860186
Fresh000
Picked101
Done-110
Total1861187
Accuracy
100.0%
Counts
187 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (+.f64 y y))
Compiler

Compiled 10 to 8 computations (20.0% saved)

derivations0.0ms (0.0%)

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

Compiled 5 to 4 computations (20.0% saved)

preprocess21.0ms (0.9%)

Memory
-12.8MiB live, 33.2MiB allocated; 9ms collecting garbage
Compiler

Compiled 40 to 32 computations (20.0% saved)

end0.0ms (0.0%)

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

Profiling

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