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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB 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)

sample1.0s (51.9%)

Memory

22.4MiB live, 650.2MiB allocated; 193ms collecting garbage

Samples

735.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 495.0ms

ival-mult!: 493.0ms (99.7% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess116.0ms (5.9%)

Memory

-32.9MiB live, 54.0MiB allocated; 24ms 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	137	15
6	253	15
7	1125	15
8	4005	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 8 to 8 computations (0% saved)

series3.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

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) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (* x 3) #s(hole binary64 (* 3 x)))
#s(approx x #s(hole binary64 x))

Calls

3 calls:

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

rewrite422.0ms (21.4%)

Memory

11.2MiB live, 235.6MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
0	15	31
1	22	31
2	31	31
3	63	31
4	152	31
5	556	31
6	3939	31
0	8265	31

Stop Event

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

Counts

7 → 41

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 145 to 79 computations (45.5% saved)

prune2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	2	39

Accuracy

99.9%

Counts

39 → 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 8 to 8 computations (0% saved)

series2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

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) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))

Calls

3 calls:

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

rewrite373.0ms (18.9%)

Memory

12.3MiB live, 199.3MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
0	14	31
1	25	31
2	55	31
3	113	31
4	284	31
5	1318	31
6	5436	31
0	8138	31

Stop Event

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

Counts

7 → 44

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 12.8MiB live, 12.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 164 to 93 computations (43.3% saved)

prune2.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	40	2	42

Accuracy

99.9%

Counts

42 → 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 14 to 14 computations (0% saved)

regimes14.0ms (0.7%)

Memory

-47.9MiB live, 14.1MiB allocated; 4ms collecting garbage

Accuracy

Total -0.1b remaining (-103.7%)

Threshold costs -0.1b (-103.7%)

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:

13.0ms	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 5 to 5 computations (0% saved)

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 4 to 4 computations (0% saved)

preprocess8.0ms (0.4%)

Memory: 24.9MiB live, 24.9MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 16 to 16 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (51.9%)

preprocess116.0ms (5.9%)

series3.0ms (0.2%)

rewrite422.0ms (21.4%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

series2.0ms (0.1%)

rewrite373.0ms (18.9%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

regimes14.0ms (0.7%)

derivations0.0ms (0%)

preprocess8.0ms (0.4%)

end0.0ms (0%)

Profiling