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)

sample4.3s (86.6%)

Results

2.3s	4093×	body	1024	valid
1.1s	2054×	body	512	valid
313.0ms	397×	body	2048	valid
251.0ms	1061×	body	256	valid
83.0ms	651×	body	128	valid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify220.0ms (4.4%)

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)

localize5.0ms (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))

simplify67.0ms (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

prune31.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	2	64

Error

Counts

64 → 2

Alt Table

Status	Error	Program
▶	0.3b	(neg.f64 (+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))))
✓	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Compiler

Compiled 1036 to 423 computations (59.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3))))
✓	0.0b	(+.f64 (.f64 2/5 (pow.f64 eps 5)) (.f64 2/3 (pow.f64 eps 3)))
✓	0.1b	(*.f64 2/3 (pow.f64 eps 3))
✓	0.1b	(*.f64 2/5 (pow.f64 eps 5))

series21.0ms (0.4%)

Counts

4 → 9

Calls

4 calls:

10.0ms	(+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3))))
5.0ms	(+.f64 (.f64 2/5 (pow.f64 eps 5)) (.f64 2/3 (pow.f64 eps 3)))
4.0ms	(*.f64 2/5 (pow.f64 eps 5))
3.0ms	(*.f64 2/3 (pow.f64 eps 3))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
14×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`

Counts

4 → 90

Calls

4 calls:

6.0ms	(+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3))))
5.0ms	(*.f64 2/3 (pow.f64 eps 3))
4.0ms	(+.f64 (.f64 2/5 (pow.f64 eps 5)) (.f64 2/3 (pow.f64 eps 3)))
4.0ms	(*.f64 2/5 (pow.f64 eps 5))

simplify88.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-neg_binary64`
560×	`unswap-sqr_binary64`
521×	`fma-def_binary64`
394×	`*-commutative_binary64`
251×	`distribute-rgt-in_binary64`

Counts

99 → 127

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	149	1389
1	370	1309
2	1153	1277
3	3235	1277
4	4628	1266
5	4945	1266

prune112.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Error

Counts

129 → 2

Alt Table

Status	Error	Program
✓	0.3b	(neg.f64 (+.f64 (.f64 2 eps) (+.f64 (.f64 2/5 (pow.f64 eps 5)) (*.f64 2/3 (pow.f64 eps 3)))))
✓	0.0b	(-.f64 (log1p.f64 (neg.f64 eps)) (log1p.f64 eps))

Compiler

Compiled 2924 to 2379 computations (18.6% saved)

regimes32.0ms (0.6%)

Accuracy

Total 0.0b remaining (66%)

Threshold costs 0.0b (66%)

Counts

11 → 1

Compiler

Compiled 386 to 307 computations (20.5% 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

end46.0ms (0.9%)

Compiler: Compiled 38 to 29 computations (23.7% saved)

Details

analyze5.0ms (0.1%)

sample4.3s (86.6%)

simplify220.0ms (4.4%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite5.0ms (0.1%)

simplify67.0ms (1.3%)

prune31.0ms (0.6%)

localize10.0ms (0.2%)

series21.0ms (0.4%)

rewrite21.0ms (0.4%)

simplify88.0ms (1.7%)

prune112.0ms (2.2%)

regimes32.0ms (0.6%)

simplify2.0ms (0%)

end46.0ms (0.9%)

Profiling