Details

analyze43.0ms (0.9%)

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)

sample4.2s (88.6%)

Results

2.4s	4350×	body	1024	valid
850.0ms	2171×	body	512	valid
372.0ms	483×	body	2048	valid
284.0ms	1093×	body	256	valid
24.0ms	159×	body	128	valid

Compiler

Compiled 54 to 40 computations (25.9% saved)

simplify220.0ms (4.6%)

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

prune4.0ms (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	(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) -1)
✓	0.0b	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))
✓	4.6b	(-.f64 (log1p.f64 n) (log.f64 n))

series9.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

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

rewrite71.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

903×	`expm1-log1p-u_binary64`
902×	`log1p-expm1-u_binary64`
530×	`prod-diff_binary64`
108×	`egg-rr`
87×	`add-sqr-sqrt_binary64`

Counts

3 → 108

Calls

3 calls:

69.0ms	(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) -1)
69.0ms	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))
69.0ms	(-.f64 (log1p.f64 n) (log.f64 n))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	39
1	171	39
2	2193	39
3	6484	39
0	0	0
1	0	0

simplify64.0ms (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

144 → 160

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	624
1	270	570
2	809	565
3	2272	557
4	4387	557
5	5264	557

prune69.0ms (1.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	1	161

Error

Counts

161 → 1

Alt Table

Status	Error	Program
▶	0b	(log.f64 n)

Compiler

Compiled 2998 to 1313 computations (56.2% 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)

regimes22.0ms (0.5%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

7 → 1

Compiler

Compiled 256 to 190 computations (25.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end26.0ms (0.5%)

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

Details

analyze43.0ms (0.9%)

sample4.2s (88.6%)

simplify220.0ms (4.6%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

series9.0ms (0.2%)

rewrite71.0ms (1.5%)

simplify64.0ms (1.4%)

prune69.0ms (1.5%)

localize2.0ms (0%)

prune1.0ms (0%)

regimes22.0ms (0.5%)

simplify2.0ms (0%)

end26.0ms (0.5%)

Profiling