Metrics for Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, C

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 5 computations (28.6% saved)

sample638.0ms (12.4%)

Memory

27.3MiB live, 614.5MiB allocated

Samples

420.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-mult: 196.0ms (95.7% of total)

ival-true: 6.0ms (2.9% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain46.0ms (0.9%)

Memory

-3.2MiB live, 78.1MiB allocated

FPErrors

Click to see full error table

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

16.0ms

512×

valid

Compiler

Compiled 27 to 13 computations (51.9% saved)

Precisions

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

ival-mult: 7.0ms (94.8% of total)

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

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

preprocess29.0ms (0.6%)

Memory

-10.7MiB live, 25.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	23	9
2	60	7
3	127	7
4	148	7
5	156	7
0	3	5
0	5	5
1	6	3
2	8	3
0	8	3

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)

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

Symmetry

(negabs x)

Compiler

Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

simplify3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	2	(.f64 (.f64 x x) x)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	3	9
0	5	9
1	6	7
2	8	7
0	8	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 x x)
x

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

localize11.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x x)
accuracy	0.1015625	(.f64 (.f64 x x) x)

Samples

7.0ms

256×

valid

Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions

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

ival-mult: 3.0ms (89.9% of total)

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

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

series3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 x x)

Outputs
(pow x 3)
(pow x 2)

Calls

3 calls:

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

simplify32.0ms (0.6%)

Memory

-33.3MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	10	6
3	12	6
0	12	6

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(pow x 3)
(pow x 2)

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

rewrite89.0ms (1.7%)

Memory

18.5MiB live, 135.1MiB allocated

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	3	8
0	5	6
1	10	6
2	24	6
3	52	6
4	166	6
5	571	2
6	4059	2
7	4117	2
8	4354	2
9	6881	2
0	8590	2

Stop Event

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

Counts

2 → 4

Calls

Call 1

Inputs
(.f64 (.f64 x x) x)
(*.f64 x x)

Outputs
x
#s(literal 1 binary64)
x
#s(literal 1 binary64)

eval1.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 20 to 10 computations (50% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Accuracy

100.0%

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 x x) x)
▶	100.0%	#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
▶	6.4%	x

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	7	13
1	9	13
0	9	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize161.0ms (3.1%)

Memory

-5.0MiB live, 30.5MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

156.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-pow: 147.0ms (97.6% of total)

ival-mult: 3.0ms (2% 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%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
(pow x 3)

Calls

3 calls:

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

simplify2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	6	3
0	6	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
(pow x 3)

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

rewrite55.0ms (1.1%)

Memory

18.1MiB live, 55.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
0	7	10
1	18	10
2	38	10
3	93	10
4	256	10
0	1165	10

Stop Event

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

Counts

2 → 41

Calls

Call 1

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

Outputs
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 21/8 binary64)) (pow.f64 x #s(literal 3/16 binary64))) (pow.f64 x #s(literal 3/16 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 21/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 15/8 binary64)) (pow.f64 x #s(literal 9/8 binary64)))
(*.f64 (pow.f64 x #s(literal 21/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 9/8 binary64)) (pow.f64 x #s(literal 15/8 binary64)))
(.f64 (pow.f64 x #s(literal 3/16 binary64)) (.f64 (pow.f64 x #s(literal 3/16 binary64)) (pow.f64 x #s(literal 21/8 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 21/8 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (*.f64 (exp.f64 #s(literal 3 binary64)) (exp.f64 #s(literal 3 binary64))) (log.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 (exp.f64 #s(literal 3/2 binary64)) (exp.f64 #s(literal 3/2 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 3/2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 6 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/4 binary64)))
(exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))

eval38.0ms (0.7%)

Memory: -38.2MiB live, 12.7MiB allocated
Compiler: Compiled 549 to 136 computations (75.2% saved)

prune2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	41	3	44

Accuracy

100.0%

Counts

44 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 x x) x)
✓	100.0%	#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
✓	6.4%	x

Compiler

Compiled 30 to 18 computations (40% saved)

regimes3.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(.f64 (.f64 x x) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 (.f64 x x) x)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
x
(.f64 (.f64 x x) x)

Outputs
(.f64 (.f64 x x) x)

Calls

2 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x x) x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 x x) x)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x x) x)

Results

Accuracy	Segments	Branch
6.4%	1	`x`
6.4%	1	`(.f64 (.f64 x x) x)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify48.0ms (0.9%)

Memory

-24.8MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	9	13
2	10	13

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness4.0s (76.6%)

Memory

11.4MiB live, 84.9MiB allocated

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	3	8
0	5	6
1	10	6
2	24	6
3	52	6
4	166	6
5	571	2
6	4059	2
7	4117	2
8	4354	2
9	6881	2
0	8590	2
0	5	6
1	8	6
2	10	6
3	12	6
0	12	6

Stop Event

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

preprocess36.0ms (0.7%)

Memory: -11.3MiB live, 47.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 76 to 46 computations (39.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample638.0ms (12.4%)

explain46.0ms (0.9%)

preprocess29.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize11.0ms (0.2%)

series3.0ms (0%)

simplify32.0ms (0.6%)

rewrite89.0ms (1.7%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize161.0ms (3.1%)

series1.0ms (0%)

simplify2.0ms (0%)

rewrite55.0ms (1.1%)

eval38.0ms (0.7%)

prune2.0ms (0%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

simplify48.0ms (0.9%)

soundness4.0s (76.6%)

preprocess36.0ms (0.7%)

end0.0ms (0%)

Profiling