Details

analyze15.0ms

Algorithm

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

sample85.0ms

Algorithm

intervals

Results

39.0ms	105×	body	1280	valid
24.0ms	95×	body	640	valid
7.0ms	41×	body	320	valid
7.0ms	256×	pre	80	true
2.0ms	15×	body	160	valid

simplify133.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	5997	15

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 63.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(*.f64 (+.f64 n 1.0) (log.f64 (+.f64 n 1.0)))
0.3b	(*.f64 n (log.f64 n))
5.1b	(-.f64 (.f64 (+.f64 n 1.0) (log.f64 (+.f64 n 1.0))) (.f64 n (log.f64 n)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod_binary64`
25×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
14×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
9×	`pow1_binary64`
8×	`associate-r_binary64` `associate--l+_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
6×	`associate--r+_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 80

Calls

3 calls:

9.0ms	(*.f64 (+.f64 n 1.0) (log.f64 (+.f64 n 1.0)))
5.0ms	(*.f64 n (log.f64 n))
10.0ms	(-.f64 (.f64 (+.f64 n 1.0) (log.f64 (+.f64 n 1.0))) (.f64 n (log.f64 n)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 (+.f64 n 1.0) (log.f64 (+.f64 n 1.0)))
15.0ms	(*.f64 n (log.f64 n))
16.0ms	(-.f64 (.f64 (+.f64 n 1.0) (log.f64 (+.f64 n 1.0))) (.f64 n (log.f64 n)))

simplify88.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4924	1044
1	4924	1044

prune97.0ms

Filtered

62 candidates to 89 candidates (-43.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	1	90

Merged error: 0b

Counts

90 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

0.7b	(/.f64 0.16666666666666669 (*.f64 n n))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate-/l_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/.f64 0.16666666666666669 (*.f64 n n))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/.f64 0.16666666666666669 (*.f64 n n))

simplify43.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5024	152

prune24.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	1	25

Merged error: 0b

Counts

25 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	18
1	41	18

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.4s	3643×	body	1280	valid
660.0ms	2610×	body	640	valid
225.0ms	1310×	body	320	valid
83.0ms	8000×	pre	80	true
47.0ms	437×	body	160	valid

Details

analyze15.0ms

sample85.0ms

simplify133.0ms

prune2.0ms

localize9.0ms

rewrite26.0ms

series37.0ms

simplify88.0ms

prune97.0ms

localize11.0ms

rewrite5.0ms

series4.0ms

simplify43.0ms

prune24.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling