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

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

0.5MiB live, 1.7MiB 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)

sample545.0ms (69.1%)

Memory

3.9MiB live, 608.9MiB allocated; 210ms collecting garbage

Samples

344.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult!: 103.0ms (98.7% of total)

adjust: 2.0ms (1.9% of total)

Bogosity

preprocess142.0ms (18%)

Memory

-11.3MiB live, 42.2MiB allocated; 13ms 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
8	4341	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)

series6.0ms (0.7%)

Memory

6.7MiB live, 6.7MiB 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

rewrite32.0ms (4.1%)

Memory

-3.2MiB live, 41.5MiB allocated; 6ms 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	49	10
0	164	10

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

4 → 18

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 #s(literal 3 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 3 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 3 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 3 binary64)))
(.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 x (.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(neg.f64 (.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) x)))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)

eval3.0ms (0.4%)

Memory: 4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 128 to 42 computations (67.2% saved)

prune1.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Accuracy

99.9%

Counts

19 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.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

5.4MiB live, 5.4MiB 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

rewrite25.0ms (3.2%)

Memory

32.2MiB live, 32.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	15	10
2	49	10
0	168	10

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

4 → 42

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 3 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (fabs.f64 x) #s(literal 3 binary64)) (fabs.f64 x))
(.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 3 binary64)))
(.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 (neg.f64 x) #s(literal 3 binary64)))
(.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 x (.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(neg.f64 (.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) x)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 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 (exp.f64 (log.f64 x)) #s(literal 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 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 3 binary64)

eval17.0ms (2.2%)

Memory: -36.6MiB live, 9.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 323 to 106 computations (67.2% saved)

prune2.0ms (0.2%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	41	2	43

Accuracy

99.9%

Counts

43 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.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)

regimes3.0ms (0.3%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.1b remaining (-93.3%)

Threshold costs -0.1b (-93.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) #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 16 to 11 computations (31.3% saved)

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 5 to 4 computations (20% saved)

preprocess8.0ms (1%)

Memory: 11.0MiB live, 11.1MiB 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%)

analyze1.0ms (0.1%)

sample545.0ms (69.1%)

preprocess142.0ms (18%)

series6.0ms (0.7%)

rewrite32.0ms (4.1%)

eval3.0ms (0.4%)

prune1.0ms (0.1%)

series3.0ms (0.4%)

rewrite25.0ms (3.2%)

eval17.0ms (2.2%)

prune2.0ms (0.2%)

regimes3.0ms (0.3%)

derivations0.0ms (0%)

preprocess8.0ms (1%)

end0.0ms (0%)

Profiling