Details

analyze250.0ms (4.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample83.0ms (1.6%)

Algorithm

1×

intervals

Results

47.0ms	129×	body	1024	valid
16.0ms	77×	body	512	valid
9.0ms	16×	body	2048	valid
3.0ms	21×	body	256	valid
1.0ms	13×	body	128	valid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify217.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

3656×	`fma-def_binary64`
1088×	`fma-neg_binary64`
739×	`distribute-rgt-in_binary64`
501×	`distribute-lft-in_binary64`
425×	`unsub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	18	10
2	28	10
3	41	10
4	70	10
5	92	10
6	140	10
7	245	10
8	414	10
9	537	10
10	694	10
11	940	10
12	1451	10
13	1750	10
14	1999	10
15	2072	10
16	2086	10
17	2086	10
18	3526	10
19	2536	10
20	2614	10
21	2622	10
22	2630	10
23	2630	10
24	2830	10
25	3322	10
26	3370	10
27	3344	10
28	5722	10

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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

series4.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

4.0ms

(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`prod-diff_binary64`
9×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`

Counts

1 → 33

Calls

1 calls:

3.0ms

(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

954×	`fma-neg_binary64`
405×	`distribute-rgt-in_binary64`
378×	`cancel-sign-sub-inv_binary64`
338×	`fma-def_binary64`
286×	`associate-l_binary64`

Counts

45 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	904
1	263	641
2	755	588
3	2436	586
4	4287	586
5	4920	586

prune27.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	1	64

Error

Counts

64 → 1

Alt Table

Status	Error	Program
▶	0b	(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))

Compiler

Compiled 1013 to 402 computations (60.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 eps -2/3)

series2.0ms (0%)

Counts

1 → 12

Calls

1 calls:

2.0ms

(*.f64 eps -2/3)

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 20

Calls

1 calls:

3.0ms

(*.f64 eps -2/3)

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

527×	`unswap-sqr_binary64`
428×	`associate-*l/_binary64`
378×	`associate-*r/_binary64`
255×	`*-commutative_binary64`
247×	`log-div_binary64`

Counts

32 → 30

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	190
1	61	178
2	145	178
3	200	178
4	260	178
5	398	178
6	728	178
7	1235	178
8	3307	178
9	4414	178
10	4949	178
11	4765	178

prune13.0ms (0.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	1	31

Error

Counts

31 → 1

Alt Table

Status	Error	Program
✓	0b	(.f64 eps (fma.f64 eps (.f64 eps -2/3) -2))

Compiler

Compiled 375 to 254 computations (32.3% saved)

regimes20.0ms (0.4%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

6 → 1

Compiler

Compiled 182 to 136 computations (25.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	9	11
2	9	11

end0.0ms (0%)

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

sample4.4s (85%)

Algorithm

1×

intervals

Results

2.6s	3916×	body	1024	valid
812.0ms	2071×	body	512	valid
392.0ms	425×	body	2048	valid
218.0ms	998×	body	256	valid
55.0ms	590×	body	128	valid

Compiler

Compiled 29 to 21 computations (27.6% saved)

Details

analyze250.0ms (4.8%)

sample83.0ms (1.6%)

simplify217.0ms (4.1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series4.0ms (0.1%)

rewrite5.0ms (0.1%)

simplify66.0ms (1.3%)

prune27.0ms (0.5%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite3.0ms (0.1%)

simplify78.0ms (1.5%)

prune13.0ms (0.3%)

regimes20.0ms (0.4%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.4s (85%)

Profiling