Details

analyze17.0ms (0.5%)

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)

sample319.0ms (8.8%)

Algorithm

1×

intervals

Results

48.0ms	138×	body	1024	valid
16.0ms	71×	body	512	valid
8.0ms	16×	body	2048	valid
5.0ms	26×	body	256	valid
3.0ms	256×	pre	128	true
0.0ms	5×	body	128	valid

Compiler

Compiled 36 to 27 computations (25% saved)

simplify225.0ms (6.2%)

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 1 expressions with local error:

New	Error	Program
✓	3.2b	(-.f64 (log1p.f64 n) (log.f64 n))

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(-.f64 (log1p.f64 n) (log.f64 n))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`prod-diff_binary64`
11×	`add-cube-cbrt_binary64`
6×	`pow1_binary64`

Counts

1 → 39

Calls

1 calls:

4.0ms

(-.f64 (log1p.f64 n) (log.f64 n))

simplify104.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

447×	`fma-neg_binary64`
284×	`fma-def_binary64`
276×	`associate-l_binary64`
252×	`associate-/r*_binary64`
247×	`cancel-sign-sub-inv_binary64`

Counts

51 → 56

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	932
1	212	635
2	601	575
3	2041	572
4	4182	572
5	4524	572
6	4940	572
7	4834	572

prune23.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	1	57

Error

Counts

57 → 1

Alt Table

Status	Error	Program
▶	0b	(+.f64 (fma.f64 n (/.f64 1 n) (log1p.f64 n)) -1)

Compiler

Compiled 1186 to 451 computations (62% saved)

localize6.0ms (0.2%)

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	(+.f64 (fma.f64 n (/.f64 1 n) (log1p.f64 n)) -1)

Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Compiler

Compiled 178 to 124 computations (30.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	10	13

end0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

sample2.9s (79.7%)

Algorithm

1×

intervals

Results

1.5s	4180×	body	1024	valid
508.0ms	2138×	body	512	valid
243.0ms	467×	body	2048	valid
160.0ms	1069×	body	256	valid
99.0ms	8000×	pre	128	true
10.0ms	146×	body	128	valid

Compiler

Compiled 40 to 29 computations (27.5% saved)

Details

analyze17.0ms (0.5%)

sample319.0ms (8.8%)

simplify225.0ms (6.2%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite6.0ms (0.2%)

simplify104.0ms (2.9%)

prune23.0ms (0.6%)

localize6.0ms (0.2%)

prune1.0ms (0%)

regimes16.0ms (0.4%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.9s (79.7%)

Profiling