Metrics for tanhf (example 3.4)

analyze159.0ms (2.8%)

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)

sample5.1s (88.5%)

Results

2.7s	2086×	body	2048	valid
1.5s	3055×	body	1024	valid
401.0ms	1572×	body	512	valid
305.0ms	1425×	body	256	valid
141.0ms	117×	body	4096	valid
2.0ms	1×	body	8192	valid

Bogosity

preprocess311.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

924×	`fma-def`
316×	`div-sub`
264×	`times-frac`
188×	`associate-/r*`
134×	`sub-neg`

Problems

112×	No Errors
90×	`(-.f64 1 (cos.f64 x))`
54×	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	36	46
2	52	42
3	86	42
4	158	42
5	295	42
6	609	42
7	1293	42
8	1712	42
9	1793	42
10	1848	42
11	1929	42
12	1969	42

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)))

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))

Compiler

Compiled 27 to 16 computations (40.7% saved)

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)

localize49.0ms (0.9%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

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)

regimes7.0ms (0.1%)

Accuracy

Total -28.8b remaining (-∞%)

Threshold costs -28.8b (-∞%)

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
3.0ms	(/.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)

simplify1.0ms (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)

soundness98.0ms (1.7%)

Rules

924×	`fma-def`
316×	`div-sub`
264×	`times-frac`
188×	`associate-/r*`
134×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	36	46
2	52	42
3	86	42
4	158	42
5	295	42
6	609	42
7	1293	42
8	1712	42
9	1793	42
10	1848	42
11	1929	42
12	1969	42

Stop Event

1×

saturated

Compiler

Compiled 12 to 9 computations (25% saved)

end0.0ms (0%)

preprocess31.0ms (0.5%)

Compiler: Compiled 36 to 28 computations (22.2% saved)

analyze159.0ms (2.8%)

sample5.1s (88.5%)

preprocess311.0ms (5.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize49.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes7.0ms (0.1%)

simplify1.0ms (0%)

soundness98.0ms (1.7%)

end0.0ms (0%)

preprocess31.0ms (0.5%)

Profiling