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

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 6 computations (14.3% saved)

sample478.0ms (17%)

Memory

-1.4MiB live, 661.3MiB allocated

Samples

339.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 165.0ms (93.7% of total)

ival-true: 5.0ms (2.8% of total)

exact: 4.0ms (2.3% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

preprocess17.0ms (0.6%)

Memory

-4.1MiB live, 32.6MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`distribute-lft-neg-in`
38×	`associate-r`
32×	`distribute-lft-in`
24×	`cancel-sign-sub-inv`
24×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	23	10
2	63	10
3	164	10
4	216	10
5	228	10
0	4	5
1	7	5
2	10	5
0	10	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (* x 3) x)

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

Symmetry

(abs x)

explain51.0ms (1.8%)

Memory

24.3MiB live, 105.2MiB 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

18.0ms

512×

valid

Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions

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

ival-mult: 6.0ms (82.8% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0.2%)

Memory

-29.4MiB live, 7.5MiB 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)

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
4×	`*-commutative`
4×	`associate-l`
2×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	7	10
2	10	10
0	10	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (* x 3) x)
(* x 3)
x
3

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

localize13.0ms (0.5%)

Memory

29.1MiB live, 29.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-mult: 3.0ms (89.6% 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

4.4MiB live, 4.4MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (* (* x 3) x)>
#<alt (* x 3)>

Outputs
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>

Calls

6 calls:

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

rewrite167.0ms (5.9%)

Memory

-42.3MiB live, 203.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 136×	`pow-lowering-pow.f64`
2 136×	`pow-lowering-pow.f32`
1 588×	`-lowering-.f32`
1 588×	`-lowering-.f64`
1 412×	`prod-exp`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	7	10
2	10	10
3	12	10
4	19	10
5	35	10
6	91	10
7	277	2
8	1665	2
9	1690	2
10	1813	2
11	3030	2
0	8379	2

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 2

Calls

Call 1

Inputs
(* (* x 3) x)
(* x 3)

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

simplify6.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
4×	`*-commutative`
2×	`pow-lowering-pow.f64`
2×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	9	96
2	11	96
0	11	96

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 4.8MiB live, 4.8MiB allocated
Compiler: Compiled 125 to 5 computations (96% saved)

prune2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Accuracy

99.8%

Counts

27 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)
▶	7.0%	(*.f64 #s(literal 3 binary64) x)
▶	4.3%	#s(literal 3 binary64)

Compiler

Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	6
1	4	6
0	4	6

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
3
(* 3 x)
3
x

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

localize16.0ms (0.6%)

Memory

-20.8MiB live, 20.4MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x)

Samples

11.0ms

256×

valid

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

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

ival-mult: 6.0ms (97.8% 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%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (* 3 x)>

Outputs
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>

Calls

3 calls:

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

rewrite8.0ms (0.3%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
0	4	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 2

Calls

Call 1

Inputs
(* 3 x)

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

simplify4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)

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

eval1.0ms (0%)

Memory: 3.8MiB live, 3.8MiB allocated
Compiler: Compiled 43 to 4 computations (90.7% saved)

prune2.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	14	3	17

Accuracy

99.8%

Counts

17 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)
✓	7.0%	(*.f64 #s(literal 3 binary64) x)
✓	4.3%	#s(literal 3 binary64)

Compiler

Compiled 22 to 14 computations (36.4% saved)

regimes6.0ms (0.2%)

Memory

-26.3MiB live, 12.3MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)
2.0ms	x

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(.f64 (.f64 x #s(literal 3 binary64)) x)

Results

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB 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	(.f64 (.f64 x #s(literal 3 binary64)) x)
1.0ms	x

Results

Accuracy	Segments	Branch
4.3%	1	`x`
4.3%	1	`(.f64 (.f64 x #s(literal 3 binary64)) x)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify8.0ms (0.3%)

Memory

-20.7MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	6	9

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.0s (70.8%)

Memory

-1.0MiB live, 117.1MiB allocated

Rules

2 136×	`pow-lowering-pow.f64`
2 136×	`pow-lowering-pow.f32`
1 588×	`-lowering-.f32`
1 588×	`-lowering-.f64`
1 412×	`prod-exp`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	7	10
2	10	10
3	12	10
4	19	10
5	35	10
6	91	10
7	277	2
8	1665	2
9	1690	2
10	1813	2
11	3030	2
0	8379	2

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 10 to 4 computations (60% saved)

preprocess24.0ms (0.9%)

Memory: 33.5MiB live, 71.0MiB allocated
Remove: (abs x)
Compiler: Compiled 68 to 40 computations (41.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample478.0ms (17%)

preprocess17.0ms (0.6%)

explain51.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

localize13.0ms (0.5%)

series2.0ms (0.1%)

rewrite167.0ms (5.9%)

simplify6.0ms (0.2%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

simplify3.0ms (0.1%)

localize16.0ms (0.6%)

series0.0ms (0%)

rewrite8.0ms (0.3%)

simplify4.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify8.0ms (0.3%)

soundness2.0s (70.8%)

preprocess24.0ms (0.9%)

end0.0ms (0%)

Profiling