Metrics for tanhf (example 3.4)

analyze265.0ms (4.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

Operation ival-sub, time spent: 20.0ms, 29.0% of total-time

Operation ival-cos, time spent: 17.0ms, 25.0% of total-time

Operation ival-sin, time spent: 14.0ms, 21.0% of total-time

Operation ival-div, time spent: 11.0ms, 16.0% of total-time

Operation const, time spent: 6.0ms, 9.0% of total-time

sample5.1s (87.6%)

Results

3.0s	2040×	body	2048	valid
1.4s	4593×	body	256	valid
520.0ms	1045×	body	1024	valid
187.0ms	513×	body	512	valid
60.0ms	65×	body	4096	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

Operation ival-sin, time spent: 1.9s, 55.0% of total-time

Operation ival-cos, time spent: 1.1s, 31.0% of total-time

Operation ival-div, time spent: 263.0ms, 7.0% of total-time

Operation ival-sub, time spent: 156.0ms, 4.0% of total-time

Operation const, time spent: 55.0ms, 2.0% of total-time

Bogosity

preprocess254.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def`
410×	`div-sub`
196×	`associate-/r*`
176×	`associate-/l*`
118×	`sub-neg`

Problems

109×	No Errors
85×	`(-.f64 1 (cos.f64 x))`
62×	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	44	60
2	69	56
3	143	56
4	326	56
5	734	56
6	1393	56
7	1777	56
8	1858	56
9	1935	56
10	1986	56
11	1998	56

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(tan.f64 (/.f64 (neg.f64 x) 2))
(tan.f64 (*.f64 -1/2 x))
(tan.f64 (*.f64 x -1/2))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x))))
(tan.f64 (/.f64 x 2))
(tan.f64 (*.f64 x 1/2))

Symmetry

(negabs x)

Compiler

Compiled 27 to 16 computations (40.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

Operation ival-sin, time spent: 38.0ms, 43.0% of total-time

Operation ival-cos, time spent: 31.0ms, 35.0% of total-time

Operation ival-sub, time spent: 10.0ms, 11.0% of total-time

Operation ival-div, time spent: 6.0ms, 7.0% of total-time

Operation const, time spent: 3.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(tan.f64 (/.f64 x 2))
▶	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 10 to 8 computations (20% saved)

localize44.0ms (0.8%)

Compiler: Compiled 11 to 8 computations (27.3% saved)
Precisions: Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-tan, time spent: 7.0ms, 47.0% of total-time
Operation ival-div, time spent: 6.0ms, 41.0% of total-time
Operation const, time spent: 2.0ms, 14.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(tan.f64 (/.f64 x 2))

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes6.0ms (0.1%)

Accuracy

Total -31.3b remaining (-∞%)

Threshold costs -31.3b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Outputs
(tan.f64 (/.f64 x 2))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(tan.f64 (/.f64 x 2))

Outputs
(tan.f64 (/.f64 x 2))

Compiler

Compiled 5 to 4 computations (20% saved)

soundness111.0ms (1.9%)

Rules

750×	`fma-def`
410×	`div-sub`
196×	`associate-/r*`
176×	`associate-/l*`
118×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	44	60
2	69	56
3	143	56
4	326	56
5	734	56
6	1393	56
7	1777	56
8	1858	56
9	1935	56
10	1986	56
11	1998	56

Stop Event

1×

saturated

Compiler

Compiled 12 to 9 computations (25% saved)

end0.0ms (0%)

preprocess39.0ms (0.7%)

Remove: (negabs x)
Compiler: Compiled 56 to 44 computations (21.4% saved)

analyze265.0ms (4.5%)

sample5.1s (87.6%)

preprocess254.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize44.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes6.0ms (0.1%)

simplify2.0ms (0%)

soundness111.0ms (1.9%)

end0.0ms (0%)

preprocess39.0ms (0.7%)

Profiling