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

analyze1.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

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

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

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

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

sample901.0ms (80%)

Results

684.0ms

8256×

256

valid

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

Operation ival-div, time spent: 78.0ms, 50.0% of total-time

Operation ival-sub, time spent: 64.0ms, 41.0% of total-time

Operation const, time spent: 13.0ms, 8.0% of total-time

Bogosity

preprocess170.0ms (15%)

Algorithm

1×	egg-herbie

Rules

175×	`fma-define`
67×	`fma-neg`
39×	`associate-l`
26×	`times-frac`
23×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	96
1	31	80
2	60	76
3	127	76
4	267	76
5	454	76
6	652	76
7	740	76
8	771	76
9	783	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x))))

Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 x (-.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))

Results

84.0ms

512×

256

valid

Compiler

Compiled 30 to 20 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-sub, time spent: 7.0ms, 56.0% of total-time

Operation ival-div, time spent: 5.0ms, 40.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize30.0ms (2.7%)

Results

21.0ms

256×

256

valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

Operation ival-sub, time spent: 5.0ms, 65.0% of total-time

Operation ival-div, time spent: 2.0ms, 26.0% of total-time

Operation const, time spent: 1.0ms, 13.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 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 #s(literal 1 binary64) x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
2×	`sub-neg`
2×	`+-commutative`
1×	`*-commutative`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	16	19
2	20	19
3	22	19
4	23	19

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))

Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess20.0ms (1.8%)

Compiler: Compiled 24 to 16 computations (33.3% saved)

analyze1.0ms (0.1%)

sample901.0ms (80%)

preprocess170.0ms (15%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize30.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify3.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess20.0ms (1.8%)

Profiling