Details

analyze237.0ms (6.7%)

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)

sample82.0ms (2.3%)

Algorithm

1×

intervals

Results

51.0ms	136×	body	1024	valid
10.0ms	49×	body	512	valid
7.0ms	12×	body	2048	valid
5.0ms	41×	body	256	valid
1.0ms	18×	body	128	valid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify227.0ms (6.4%)

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))

rewrite6.0ms (0.2%)

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:

4.0ms

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

series10.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

10.0ms

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

simplify77.0ms (2.2%)

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 → 76

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

prune25.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	2	77

Error

Counts

77 → 2

Alt Table

Status	Error	Program
▶	0.6b	(neg.f64 (+.f64 (.f64 2 eps) (.f64 2/3 (pow.f64 eps 3))))
✓	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Compiler

Compiled 1024 to 413 computations (59.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2 eps) (.f64 2/3 (pow.f64 eps 3)))
✓	0.1b	(*.f64 2/3 (pow.f64 eps 3))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-exp-log_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 47

Calls

2 calls:

5.0ms	(*.f64 2/3 (pow.f64 eps 3))
3.0ms	(+.f64 (.f64 2 eps) (.f64 2/3 (pow.f64 eps 3)))

series36.0ms (1%)

Counts

2 → 3

Calls

2 calls:

22.0ms	(+.f64 (.f64 2 eps) (.f64 2/3 (pow.f64 eps 3)))
15.0ms	(*.f64 2/3 (pow.f64 eps 3))

simplify88.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

774×	`fma-neg_binary64`
491×	`cancel-sign-sub-inv_binary64`
454×	`unswap-sqr_binary64`
351×	`*-commutative_binary64`
240×	`fma-def_binary64`

Counts

50 → 84

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	80	608
1	199	546
2	625	543
3	1642	542
4	3611	510
5	4851	510
6	4919	510

prune45.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Error

Counts

86 → 2

Alt Table

Status	Error	Program
✓	0.6b	(neg.f64 (+.f64 (.f64 2 eps) (.f64 2/3 (pow.f64 eps 3))))
✓	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Compiler

Compiled 1055 to 837 computations (20.7% saved)

regimes22.0ms (0.6%)

Accuracy

Total 0.0b remaining (60%)

Threshold costs 0.0b (60%)

Compiler

Compiled 218 to 166 computations (23.9% saved)

simplify5.0ms (0.1%)

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

end0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample2.6s (74.9%)

Algorithm

1×

intervals

Results

1.5s	3981×	body	1024	valid
463.0ms	2022×	body	512	valid
196.0ms	371×	body	2048	valid
143.0ms	1010×	body	256	valid
41.0ms	616×	body	128	valid

Compiler

Compiled 36 to 28 computations (22.2% saved)

Details

analyze237.0ms (6.7%)

sample82.0ms (2.3%)

simplify227.0ms (6.4%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite6.0ms (0.2%)

series10.0ms (0.3%)

simplify77.0ms (2.2%)

prune25.0ms (0.7%)

localize6.0ms (0.2%)

rewrite11.0ms (0.3%)

series36.0ms (1%)

simplify88.0ms (2.5%)

prune45.0ms (1.3%)

regimes22.0ms (0.6%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.6s (74.9%)

Profiling