Details

analyze311.0ms (5.9%)

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)

sample90.0ms (1.7%)

Algorithm

1×

intervals

Results

48.0ms	135×	body	1024	valid
15.0ms	66×	body	512	valid
9.0ms	19×	body	2048	valid
4.0ms	25×	body	256	valid
3.0ms	256×	pre	128	true
1.0ms	11×	body	128	valid

Compiler

Compiled 36 to 27 computations (25% saved)

simplify239.0ms (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

prune9.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

44.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	44.3b	(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) -1)
	63.0b	(-.f64 (-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n))) 1)

Compiler

Compiled 83 to 55 computations (33.7% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 n)
✓	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)
✓	5.8b	(-.f64 (log1p.f64 n) (log.f64 n))

series25.0ms (0.5%)

Counts

4 → 48

Calls

4 calls:

7.0ms	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))
6.0ms	(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) -1)
6.0ms	(-.f64 (log1p.f64 n) (log.f64 n))
5.0ms	(log1p.f64 n)

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
12×	`prod-diff_binary64`
9×	`pow1_binary64`

Counts

4 → 79

Calls

4 calls:

9.0ms	(-.f64 (log1p.f64 n) (log.f64 n))
5.0ms	(+.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)) -1)
1.0ms	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))
1.0ms	(log1p.f64 n)

simplify241.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

352×	`associate--l+_binary64`
288×	`fma-neg_binary64`
250×	`associate-+l+_binary64`
249×	`sub-neg_binary64`
227×	`distribute-rgt-in_binary64`

Counts

127 → 165

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2209
1	527	1804
2	1611	1728
3	4442	1728
4	4914	1728
5	4990	1728
6	4992	1728
7	4845	1728

prune115.0ms (2.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	195	1	196

Error

Counts

196 → 1

Alt Table

Status	Error	Program
▶	0b	(log.f64 n)

Compiler

Compiled 3684 to 1625 computations (55.9% saved)

localize4.0ms (0.1%)

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)

regimes42.0ms (0.8%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

6 → 1

Compiler

Compiled 241 to 169 computations (29.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end1.0ms (0%)

Compiler: Compiled 3 to 2 computations (33.3% saved)

sample4.1s (78.5%)

Algorithm

1×

intervals

Results

2.2s	4306×	body	1024	valid
738.0ms	2092×	body	512	valid
341.0ms	438×	body	2048	valid
221.0ms	1029×	body	256	valid
137.0ms	8000×	pre	128	true
16.0ms	135×	body	128	valid

Compiler

Compiled 26 to 19 computations (26.9% saved)

Details

analyze311.0ms (5.9%)

sample90.0ms (1.7%)

simplify239.0ms (4.6%)

prune9.0ms (0.2%)

localize20.0ms (0.4%)

series25.0ms (0.5%)

rewrite22.0ms (0.4%)

simplify241.0ms (4.6%)

prune115.0ms (2.2%)

localize4.0ms (0.1%)

prune1.0ms (0%)

regimes42.0ms (0.8%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample4.1s (78.5%)

Profiling