Details

analyze5.0ms (0.1%)

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)

sample4.0s (86.1%)

Results

2.3s	4159×	body	1024	valid
717.0ms	2048×	body	512	valid
353.0ms	447×	body	2048	valid
243.0ms	1045×	body	256	valid
66.0ms	557×	body	128	valid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify219.0ms (4.8%)

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

prune4.0ms (0.1%)

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

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
	58.3b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 47 to 35 computations (25.5% 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))

simplify64.0ms (1.4%)

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

prune22.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	63	2	65

Error

Counts

65 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
▶	58.3b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 1020 to 409 computations (59.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
✓	6.4b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series5.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
2.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`

Counts

2 → 96

Calls

2 calls:

8.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
6.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

simplify154.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-neg_binary64`
329×	`fma-def_binary64`
307×	`sub-neg_binary64`
306×	`div-exp_binary64`
171×	`distribute-rgt-neg-in_binary64`

Counts

120 → 161

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	2246
1	422	2118
2	1082	2055
3	2942	2055
4	4638	2055
5	4992	2055
6	4963	2055
7	5384	2055

prune73.0ms (1.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	161	2	163

Error

Counts

163 → 2

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))
✓	58.3b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 2576 to 1932 computations (25% saved)

regimes15.0ms (0.3%)

Accuracy

Total 0.0b remaining (6.5%)

Threshold costs 0.0b (6.5%)

Counts

3 → 1

Compiler

Compiled 98 to 73 computations (25.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	12	10
2	17	10
3	20	10
4	21	10
5	21	10

end39.0ms (0.8%)

Compiler: Compiled 30 to 22 computations (26.7% saved)

Details

analyze5.0ms (0.1%)

sample4.0s (86.1%)

simplify219.0ms (4.8%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

series4.0ms (0.1%)

rewrite5.0ms (0.1%)

simplify64.0ms (1.4%)

prune22.0ms (0.5%)

localize5.0ms (0.1%)

series5.0ms (0.1%)

rewrite20.0ms (0.4%)

simplify154.0ms (3.3%)

prune73.0ms (1.6%)

regimes15.0ms (0.3%)

simplify2.0ms (0%)

end39.0ms (0.8%)

Profiling