Metrics for Numeric.Integration.TanhSinh:simpson from integration-0.2.1

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample720.0ms (70.1%)

Memory

-4.7MiB live, 1 192.6MiB allocated; 291ms collecting garbage

Samples

460.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-add!: 57.0ms (50.5% of total)

ival-mult!: 55.0ms (48.7% of total)

adjust: 2.0ms (1.8% of total)

Bogosity

preprocess95.0ms (9.2%)

Memory

-14.7MiB live, 86.4MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	45	30
2	125	30
3	191	30
4	355	30
5	596	30
6	3084	30

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(*.f64 x (+.f64 y y))

Symmetry

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 10 to 8 computations (20.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series21.0ms (2.0%)

Memory

19.1MiB live, 64.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24

Stop Event

1×	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:

Time	Variable	Point
2.0ms	y	-inf
1.0ms	y	inf
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	y	0

rewrite156.0ms (15.2%)

Memory

9.6MiB live, 195.9MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	28	10
2	93	10
3	242	10
4	572	10
5	1963	10
0	4105	10

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

4 → 115

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))
(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))

eval17.0ms (1.7%)

Memory: -16.0MiB live, 30.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 117 to 293 computations (73.8% saved)

prune2.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	116	1	117

Accuracy

100.0%

Counts

117 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(*.f64 x (+.f64 y y))

Compiler

Compiled 10 to 8 computations (20.0% saved)

derivations0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 4 computations (20.0% saved)

preprocess16.0ms (1.6%)

Memory: -20.0MiB live, 30.6MiB allocated; 15ms collecting garbage
Compiler: Compiled 40 to 32 computations (20.0% saved)

end0.0ms (0.0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample720.0ms (70.1%)

preprocess95.0ms (9.2%)

sample0.0ms (0.0%)

series21.0ms (2.0%)

rewrite156.0ms (15.2%)

eval17.0ms (1.7%)

prune2.0ms (0.2%)

derivations0.0ms (0.0%)

preprocess16.0ms (1.6%)

end0.0ms (0.0%)

Profiling