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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

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)

sample477.0ms (60.6%)

Memory

-1.5MiB live, 805.4MiB allocated; 204ms collecting garbage

Samples

303.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-mult!: 140.0ms (99.1% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

preprocess56.0ms (7.1%)

Memory

0.4MiB live, 39.4MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	21	15
2	50	15
3	71	15
4	91	15
5	138	15
6	263	15
7	1178	15

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs x)

Compiler

Compiled 10 to 8 computations (20% saved)

series8.0ms (1.1%)

Memory

29.2MiB live, 29.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21

Stop Event

1×	iter-limit

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	x	0

rewrite72.0ms (9.1%)

Memory

-7.4MiB live, 80.3MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	9	10
2	12	10
3	18	10
4	43	10
5	96	10
6	253	10
7	1189	10
0	4099	10

Stop Event

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

Counts

4 → 36

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 #s(literal -3 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 #s(literal -3 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))
(.f64 (.f64 #s(literal -3 binary64) x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -3 binary64))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 #s(literal -3 binary64) (fabs.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 3 binary64)))
(.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 3 binary64) x))
(neg.f64 (.f64 #s(literal -3 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 #s(literal -3 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
(neg.f64 (*.f64 #s(literal -3 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 2 binary64)))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 1 binary64) x))
x
#s(literal 3 binary64)

eval3.0ms (0.4%)

Memory: 11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 284 to 77 computations (72.9% saved)

prune2.0ms (0.2%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Accuracy

99.9%

Counts

37 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 8 computations (20% saved)

series3.0ms (0.4%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21

Stop Event

1×	iter-limit

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
0.0ms	x	0

rewrite98.0ms (12.4%)

Memory

-24.6MiB live, 83.9MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	15	10
2	43	10
3	100	10
4	261	10
5	1191	10
0	4088	10

Stop Event

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

Counts

4 → 41

Calls

Call 1

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

Outputs
(.f64 #s(literal -3 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 #s(literal -3 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))
(.f64 (.f64 #s(literal -3 binary64) x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -3 binary64))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 #s(literal -3 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 3 binary64)))
(.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) x))
(neg.f64 (.f64 #s(literal -3 binary64) (.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 16 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
x
#s(literal 3 binary64)

eval3.0ms (0.4%)

Memory: 6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 312 to 94 computations (69.9% saved)

prune2.0ms (0.2%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	39	3	42

Accuracy

99.9%

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.1%	(*.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))
✓	99.7%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 17 to 15 computations (11.8% saved)

series44.0ms (5.6%)

Memory

-24.0MiB live, 68.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32

Stop Event

1×	iter-limit

Counts

7 → 4

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
#s(literal 1/4 binary64)
#s(literal 3 binary64)

Outputs
#s(approx (* (pow (pow x 8) 1/4) 3) (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow (pow x 8) 1/4) (pow.f64 x #s(literal 2 binary64)))
#s(approx (pow x 8) (pow.f64 x #s(literal 8 binary64)))
#s(approx x x)

Calls

3 calls:

Time	Variable	Point
25.0ms	x	0
10.0ms	x	-inf
7.0ms	x	inf

rewrite6.0ms (0.8%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	10	19
1	11	19
0	11	19

Stop Event

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

Counts

7 → 8

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
#s(literal 1/4 binary64)
#s(literal 3 binary64)

Outputs
(*.f64 #s(literal 3 binary64) (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 8 binary64))
x
#s(literal 8 binary64)
#s(literal 1/4 binary64)
#s(literal 3 binary64)

eval1.0ms (0.1%)

Memory: 0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 51 to 26 computations (49% saved)

prune1.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	5	0	5
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	5	3	8

Accuracy

99.9%

Counts

8 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.1%	(*.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))
✓	99.7%	(.f64 (.f64 x x) #s(literal 3 binary64))
✓	99.8%	(.f64 (.f64 x #s(literal 3 binary64)) x)

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes3.0ms (0.4%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Accuracy

Total -23.5b remaining (-16694.1%)

Threshold costs -23.5b (-16694.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

derivations0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 4 computations (20% saved)

preprocess8.0ms (1%)

Memory: 11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 20 to 16 computations (20% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample477.0ms (60.6%)

preprocess56.0ms (7.1%)

series8.0ms (1.1%)

rewrite72.0ms (9.1%)

eval3.0ms (0.4%)

prune2.0ms (0.2%)

series3.0ms (0.4%)

rewrite98.0ms (12.4%)

eval3.0ms (0.4%)

prune2.0ms (0.2%)

series44.0ms (5.6%)

rewrite6.0ms (0.8%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

regimes3.0ms (0.4%)

derivations0.0ms (0%)

preprocess8.0ms (1%)

end0.0ms (0%)

Profiling