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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0.2%)

Memory

1.5MiB live, 1.5MiB allocated

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 6 computations (14.3% saved)

sample487.0ms (80.2%)

Memory

33.0MiB live, 728.6MiB allocated

Samples

291.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-div: 66.0ms (48.7% of total)

ival-sub: 55.0ms (40.6% of total)

ival-true: 6.0ms (4.4% of total)

exact: 5.0ms (3.7% of total)

ival-assert: 3.0ms (2.2% of total)

Bogosity

explain50.0ms (8.2%)

Memory

-31.0MiB live, 106.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 5.0ms (52.4% of total)

ival-div: 4.0ms (41.9% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess2.0ms (0.3%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 4 computations (20% saved)

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Calls

Call 1

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

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

localize13.0ms (2.1%)

Memory

24.9MiB live, 24.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.015625	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Samples

9.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 2.0ms (54% of total)

ival-div: 2.0ms (54% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series1.0ms (0.2%)

Memory

1.6MiB live, 1.6MiB allocated

Counts

2 → 14

Calls

Call 1

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

Outputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
1
(+ 1 (* -1 x))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 (* x (- 1 (/ 1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((/ x (- 1 x)) (- 1 x))
0.0ms	x	@	-inf	((/ x (- 1 x)) (- 1 x))
0.0ms	x	@	0	((/ x (- 1 x)) (- 1 x))

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

14 → 2

Calls

Call 1

Inputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
1
(+ 1 (* -1 x))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 (* x (- 1 (/ 1 x))))

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

rewrite0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

eval4.0ms (0.6%)

Memory: -37.6MiB live, 1.0MiB allocated
Compiler: Compiled 30 to 9 computations (70% saved)

prune1.0ms (0.2%)

Memory

2.0MiB live, 2.0MiB allocated

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	3	2	5

Accuracy

100.0%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	3.6%	#s(approx (/ x (- 1 x)) (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify0.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (/ x (- 1 x)) (-.f64 #s(literal 1 binary64) x))

Calls

Call 1

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

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

localize13.0ms (2.1%)

Memory

23.1MiB live, 23.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	61.7271709344126	#s(approx (/ x (- 1 x)) (-.f64 #s(literal 1 binary64) x))

Samples

8.0ms

256×

valid

Compiler

Compiled 26 to 13 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 2.0ms (54% of total)

ival-div: 2.0ms (54% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series0.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

2 → 14

Calls

Call 1

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

Outputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
1
(+ 1 (* -1 x))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 (* x (- 1 (/ 1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((/ x (- 1 x)) (- 1 x))
0.0ms	x	@	-inf	((/ x (- 1 x)) (- 1 x))
0.0ms	x	@	0	((/ x (- 1 x)) (- 1 x))

simplify0.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

14 → 2

Calls

Call 1

Inputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
1
(+ 1 (* -1 x))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 (* x (- 1 (/ 1 x))))

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

rewrite0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

eval0.0ms (0.1%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 33 to 8 computations (75.8% saved)

prune2.0ms (0.3%)

Memory

3.1MiB live, 3.1MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	3	2	5

Accuracy

100.0%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	3.6%	#s(approx (/ x (- 1 x)) (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes3.0ms (0.5%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes6.0ms (1%)

Memory

-37.5MiB live, 6.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))
1.0ms	x

Results

Accuracy	Segments	Branch
3.6%	1	`x`
3.6%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.7%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

soundness0.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 14 to 8 computations (42.9% saved)

preprocess17.0ms (2.9%)

Memory: -6.4MiB live, 31.9MiB allocated
Compiler: Compiled 38 to 24 computations (36.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0.2%)

sample487.0ms (80.2%)

explain50.0ms (8.2%)

preprocess2.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0.1%)

simplify0.0ms (0%)

localize13.0ms (2.1%)

series1.0ms (0.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval4.0ms (0.6%)

prune1.0ms (0.2%)

simplify0.0ms (0.1%)

localize13.0ms (2.1%)

series0.0ms (0.1%)

simplify0.0ms (0.1%)

rewrite0.0ms (0%)

eval0.0ms (0.1%)

prune2.0ms (0.3%)

regimes3.0ms (0.5%)

regimes6.0ms (1%)

simplify4.0ms (0.7%)

soundness0.0ms (0.1%)

preprocess17.0ms (2.9%)

end0.0ms (0%)

Profiling