Details

analyze18.0ms (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)

sample324.0ms (8.1%)

Algorithm

1×

intervals

Results

45.0ms	127×	body	1024	valid
18.0ms	79×	body	512	valid
10.0ms	15×	body	2048	valid
4.0ms	28×	body	256	valid
3.0ms	256×	pre	128	true
0.0ms	7×	body	128	valid

Compiler

Compiled 36 to 27 computations (25% saved)

simplify226.0ms (5.6%)

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

44.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	44.3b	(+.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 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))
✓	4.4b	(-.f64 (log1p.f64 n) (log.f64 n))

series8.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`prod-diff_binary64`
12×	`add-cube-cbrt_binary64`
7×	`pow1_binary64`

Counts

2 → 49

Calls

2 calls:

4.0ms	(-.f64 (log1p.f64 n) (log.f64 n))
0.0ms	(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))

simplify76.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

552×	`fma-def_binary64`
395×	`associate-l_binary64`
385×	`sub-neg_binary64`
339×	`associate-r_binary64`
308×	`cancel-sign-sub-inv_binary64`

Counts

73 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1373
1	356	1027
2	1115	964
3	4082	964
4	4872	964

prune42.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	1	87

Error

Counts

87 → 1

Alt Table

Status	Error	Program
▶	0b	(+.f64 (+.f64 (log.f64 n) 1) -1)

Compiler

Compiled 1710 to 750 computations (56.1% 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	(+.f64 (+.f64 (log.f64 n) 1) -1)

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes16.0ms (0.4%)

Accuracy

Total 0.0b remaining (26.3%)

Threshold costs 0.0b (26.3%)

Counts

5 → 1

Compiler

Compiled 226 to 166 computations (26.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	16	12
3	18	12
4	19	12
5	18	12

end0.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample3.3s (81.6%)

Algorithm

1×

intervals

Results

1.5s	4258×	body	1024	valid
728.0ms	2177×	body	512	valid
403.0ms	429×	body	2048	valid
151.0ms	990×	body	256	valid
127.0ms	8000×	pre	128	true
10.0ms	146×	body	128	valid

Compiler

Compiled 36 to 29 computations (19.4% saved)

Details

analyze18.0ms (0.5%)

sample324.0ms (8.1%)

simplify226.0ms (5.6%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

series8.0ms (0.2%)

rewrite7.0ms (0.2%)

simplify76.0ms (1.9%)

prune42.0ms (1%)

localize4.0ms (0.1%)

prune1.0ms (0%)

regimes16.0ms (0.4%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample3.3s (81.6%)

Profiling