Details

analyze19.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	23.7%	76.3%	0
0%	23.7%	76.3%	1
11.9%	11.9%	76.3%	2
17.8%	5.9%	76.3%	3
20.8%	3%	76.3%	4
22.2%	1.5%	76.3%	5
23%	0.7%	76.3%	6
23.3%	0.4%	76.3%	7
23.3%	0.4%	76.3%	8
23.4%	0.3%	76.3%	9
23.5%	0.2%	76.3%	10
23.5%	0.2%	76.3%	11
23.5%	0.2%	76.3%	12
23.6%	0.2%	76.3%	13
23.6%	0.1%	76.3%	14

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample4.4s (87%)

Results

2.5s	4295×	body	1024	valid
969.0ms	2220×	body	512	valid
353.0ms	449×	body	2048	valid
299.0ms	1133×	body	256	valid
21.0ms	159×	body	128	valid

Compiler

Compiled 54 to 40 computations (25.9% saved)

simplify247.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-def_binary64`
842×	`fma-neg_binary64`
811×	`associate--r+_binary64`
753×	`associate--l+_binary64`
678×	`unsub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	26	18
2	58	18
3	112	18
4	259	17
5	462	17
6	742	17
7	1020	17
8	1240	17
9	1585	17
10	2693	17
11	2644	17
12	2840	17
13	2844	17
14	2852	17
15	2852	17
16	3070	17
17	3006	17
18	3022	17
19	3028	17
20	3034	17
21	3034	17
22	3034	17
23	4776	17
24	4570	17
25	5171	17

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

44.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	44.2b	(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) -1)

Compiler

Compiled 51 to 31 computations (39.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))
✓	0.0b	(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) -1)
✓	2.2b	(-.f64 (log1p.f64 n) (log.f64 n))

series14.0ms (0.3%)

Counts

3 → 36

Calls

3 calls:

7.0ms	(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) -1)
4.0ms	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))
3.0ms	(-.f64 (log1p.f64 n) (log.f64 n))

rewrite167.0ms (3.3%)

Algorithm

3×	egg-rewrite

Rules

88×	`egg`
36×	`egg`
23×	`egg`

Counts

3 → 147

Calls

3 calls:

66.0ms	(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) -1)
52.0ms	(-.f64 (log1p.f64 n) (log.f64 n))
46.0ms	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	105	8
2	1343	8
3	5012	8
0	8	17
1	171	17
2	2193	17
3	6484	17
0	6	14
1	126	14
2	1621	14
3	5074	14

simplify73.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

799×	`times-frac_binary64`
586×	`fma-neg_binary64`
420×	`sub-neg_binary64`
318×	`associate-l_binary64`
302×	`fma-def_binary64`

Counts

183 → 200

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	616
1	270	570
2	809	565
3	2272	557
4	4387	557
5	5264	557

prune77.0ms (1.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	1	201

Error

Counts

201 → 1

Alt Table

Status	Error	Program
▶	0b	(log.f64 n)

Compiler

Compiled 3879 to 1629 computations (58% saved)

localize2.0ms (0%)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(log.f64 n)

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.3%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

5 → 1

Compiler

Compiled 208 to 148 computations (28.8% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end25.0ms (0.5%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

Details

analyze19.0ms (0.4%)

sample4.4s (87%)

simplify247.0ms (4.9%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series14.0ms (0.3%)

rewrite167.0ms (3.3%)

simplify73.0ms (1.4%)

prune77.0ms (1.5%)

localize2.0ms (0%)

prune1.0ms (0%)

regimes14.0ms (0.3%)

simplify7.0ms (0.1%)

end25.0ms (0.5%)

Profiling