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

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.1s (87.8%)

Results

952.0ms	7242×	valid
112.0ms	1013×	infinite
0.0ms	1×	valid

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

Operation ival-mult, time spent: 114.0ms, 56.0% of total-time

Operation ival-add, time spent: 76.0ms, 37.0% of total-time

Operation const, time spent: 8.0ms, 4.0% of total-time

Operation backward-pass, time spent: 5.0ms, 2.0% of total-time

Bogosity

preprocess100.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

83×	`fma-neg`
78×	`fma-define`
40×	`distribute-lft-neg-in`
35×	`associate-r`
27×	`cancel-sign-sub-inv`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`y`
-	-	`(+.f64 y y)`
-	-	`(*.f64 x (+.f64 y y))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	141
1	58	133
2	153	133
3	382	133
4	540	133
5	628	133

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (+.f64 y y))
(*.f64 x (+.f64 y y))
(*.f64 (neg.f64 x) (+.f64 y y))
(*.f64 x (+.f64 (neg.f64 y) (neg.f64 y)))
(neg.f64 (*.f64 (neg.f64 x) (+.f64 y y)))
(neg.f64 (*.f64 x (+.f64 (neg.f64 y) (neg.f64 y))))
(*.f64 y (+.f64 x x))

Outputs
(*.f64 x (+.f64 y y))
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(*.f64 x (+.f64 y y))
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (+.f64 y y))
(.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 x))
(.f64 x (.f64 y #s(literal -2 binary64)))
(*.f64 x (+.f64 (neg.f64 y) (neg.f64 y)))
(.f64 (.f64 #s(literal 2 binary64) y) (neg.f64 x))
(.f64 x (.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) (+.f64 y y)))
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(neg.f64 (*.f64 x (+.f64 (neg.f64 y) (neg.f64 y))))
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 x (.f64 y #s(literal 2 binary64)))
(*.f64 y (+.f64 x x))
(.f64 x (.f64 #s(literal 2 binary64) y))
(.f64 x (.f64 y #s(literal 2 binary64)))

Symmetry

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

Operation ival-mult, time spent: 4.0ms, 56.0% of total-time

Operation ival-add, time spent: 3.0ms, 42.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 x (+.f64 y y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize25.0ms (2%)

Compiler: Compiled 13 to 5 computations (61.5% saved)
Precisions: Click to see histograms. Total time spent on operations: 4.0ms
Operation ival-mult, time spent: 2.0ms, 57.0% of total-time
Operation ival-add, time spent: 2.0ms, 57.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 y y))

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	10	22

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (+.f64 y y))

Outputs
(*.f64 x (+.f64 y y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess24.0ms (1.9%)

Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 112 to 64 computations (42.9% saved)

analyze0.0ms (0%)

sample1.1s (87.8%)

preprocess100.0ms (7.9%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize25.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify3.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess24.0ms (1.9%)

Profiling