Metrics for Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample610.0ms (24.5%)

Memory

-146.7MiB live, 603.1MiB allocated

Samples

436.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult: 129.0ms (90% of total)

ival-true: 6.0ms (4.2% of total)

exact: 5.0ms (3.5% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

explain63.0ms (2.5%)

Memory

-18.0MiB live, 57.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 (.f64 x #s(literal 3 binary64)) x)`
-	-	`#s(literal 3 binary64)`
-	-	`(*.f64 x #s(literal 3 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

17.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

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

ival-mult: 6.0ms (82.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess14.0ms (0.6%)

Memory

22.5MiB live, 22.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	23	10
2	63	10
3	164	10
4	212	10
5	224	10
0	4	5
0	6	5
1	9	5
2	12	5
0	12	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 3 binary64)) x)

Outputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 #s(literal 3 binary64) x) x)

Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0.2%)

Memory

-29.3MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 3 binary64)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
2	12	10
0	12	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

Outputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 #s(literal 3 binary64) x) x)
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)

localize12.0ms (0.5%)

Memory

19.3MiB live, 19.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x #s(literal 3 binary64))
accuracy	0.1484375	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

7.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 3.0ms (90.7% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))

Outputs
(* 3 (pow x 2))
(* 3 x)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* (* x 3) x) (* x 3))
1.0ms	x	@	0	((* (* x 3) x) (* x 3))
1.0ms	x	@	-inf	((* (* x 3) x) (* x 3))

simplify3.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	9	8
2	11	8
0	11	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* 3 x)

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

rewrite125.0ms (5%)

Memory

-3.6MiB live, 110.3MiB allocated

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	6
1	9	6
2	12	6
3	14	6
4	21	6
5	37	6
6	93	6
7	279	2
8	1664	2
9	1689	2
10	1812	2
11	3032	2
0	8366	2

Stop Event

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

Counts

2 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x #s(literal 3 binary64))

Outputs
#s(literal 3 binary64)
#s(literal 3 binary64)

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 21 to 11 computations (47.6% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Accuracy

99.9%

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)
▶	99.7%	#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
▶	4.5%	#s(literal 3 binary64)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
0	9	22
1	14	22
0	14	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(literal 3 binary64)
#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)

Outputs
#s(literal 3 binary64)
#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
#s(approx (* (* x 3) x) (.f64 (.f64 x #s(literal 3 binary64)) x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 (.f64 x #s(literal 3 binary64)) x)
(*.f64 x x)
x
#s(literal 3 binary64)

localize20.0ms (0.8%)

Memory

2.8MiB live, 38.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
accuracy	0.17578125	(.f64 (.f64 x x) #s(literal 3 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 6.0ms (96.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
(* 3 (pow x 2))
(pow x 2)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* (* x 3) x) (* (* x x) 3) (* x x))
0.0ms	x	@	-inf	((* (* x 3) x) (* (* x x) 3) (* x x))
0.0ms	x	@	0	((* (* x 3) x) (* (* x x) 3) (* x x))

simplify2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	7	8
2	11	8
3	12	8
0	12	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(* 3 (pow x 2))
(pow x 2)

Outputs
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(pow x 2)
(*.f64 x x)

rewrite76.0ms (3.1%)

Memory

-13.9MiB live, 77.0MiB allocated

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	9	19
1	16	19
2	23	19
3	39	19
4	95	19
5	286	5
6	1679	5
7	1704	5
8	1827	5
9	3048	5
0	8424	5

Stop Event

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

Counts

3 → 4

Calls

Call 1

Inputs
#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
#s(approx (* (* x 3) x) #s(literal 3 binary64))
#s(literal 3 binary64)
x
#s(literal 1 binary64)

eval1.0ms (0%)

Memory: 1.7MiB live, 1.7MiB allocated
Compiler: Compiled 58 to 19 computations (67.2% saved)

prune2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	5	4	9

Accuracy

99.9%

Counts

9 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)
✓	99.7%	#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
▶	7.0%	#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))
✓	4.5%	#s(literal 3 binary64)

Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify5.0ms (0.2%)

Memory

-33.8MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
0	7	14
1	10	14
2	13	14
0	13	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

Outputs
#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (* (* x 3) x) (*.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)

localize11.0ms (0.5%)

Memory

35.3MiB live, 35.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x #s(literal 3 binary64))
accuracy	59.55158845895859	#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))

Samples

8.0ms

256×

valid

Compiler

Compiled 26 to 13 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 3.0ms (88.5% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))

Outputs
(* 3 (pow x 2))
(* 3 x)

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((* (* x 3) x) (* x 3))
0.0ms	x	@	-inf	((* (* x 3) x) (* x 3))
0.0ms	x	@	0	((* (* x 3) x) (* x 3))

simplify27.0ms (1.1%)

Memory

-37.3MiB live, 2.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	9	8
2	11	8
0	11	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* 3 x)

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

rewrite80.0ms (3.2%)

Memory

5.2MiB live, 102.3MiB allocated

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	6	12
0	7	12
1	10	12
2	13	12
3	15	12
4	22	12
5	38	12
6	94	12
7	280	4
8	1701	4
9	1726	4
10	1849	4
11	3054	4
0	8433	4

Stop Event

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

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))

Outputs
#s(approx (* (* x 3) x) #s(literal 3 binary64))
#s(literal 3 binary64)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 38 to 12 computations (68.4% saved)

prune2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	4	4	8

Accuracy

99.9%

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)
✓	99.7%	#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
✓	7.0%	#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))
✓	4.5%	#s(literal 3 binary64)

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes4.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 3 binary64)
#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) x)

Outputs
(.f64 (.f64 x #s(literal 3 binary64)) x)

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 3 binary64)
#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))
#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))

Outputs
#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes32.0ms (1.3%)

Memory

-32.9MiB live, 5.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 3 binary64)
#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))

Outputs
#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))

Calls

2 calls:

30.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
1.0ms	x

Results

Accuracy	Segments	Branch
7.0%	1	`x`
7.0%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 3 binary64)

Outputs
#s(literal 3 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)

Results

Accuracy	Segments	Branch
4.5%	1	`x`
4.5%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify8.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	13	26
2	16	26

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))
#s(literal 3 binary64)

Outputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
#s(approx (* (* x 3) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
#s(approx (* (* x 3) x) (*.f64 x #s(literal 3 binary64)))
#s(literal 3 binary64)

soundness1.3s (52.6%)

Memory

-5.4MiB live, 143.4MiB allocated

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	6
1	9	6
2	12	6
3	14	6
4	21	6
5	37	6
6	93	6
7	279	2
8	1664	2
9	1689	2
10	1812	2
11	3032	2
0	8366	2
0	6	8
1	9	8
2	11	8
0	11	8
0	7	19
0	9	19
1	16	19
2	23	19
3	39	19
4	95	19
5	286	5
6	1679	5
7	1704	5
8	1827	5
9	3048	5
0	8424	5

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 47 to 27 computations (42.6% saved)

preprocess60.0ms (2.4%)

Memory: 10.0MiB live, 48.3MiB allocated
Remove: (abs x)
Compiler: Compiled 82 to 46 computations (43.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample610.0ms (24.5%)

explain63.0ms (2.5%)

preprocess14.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.2%)

localize12.0ms (0.5%)

series2.0ms (0.1%)

simplify3.0ms (0.1%)

rewrite125.0ms (5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize20.0ms (0.8%)

series2.0ms (0.1%)

simplify2.0ms (0.1%)

rewrite76.0ms (3.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

simplify5.0ms (0.2%)

localize11.0ms (0.5%)

series1.0ms (0.1%)

simplify27.0ms (1.1%)

rewrite80.0ms (3.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes4.0ms (0.2%)

regimes4.0ms (0.1%)

regimes32.0ms (1.3%)

regimes2.0ms (0.1%)

simplify8.0ms (0.3%)

soundness1.3s (52.6%)

preprocess60.0ms (2.4%)

end0.0ms (0%)

Profiling