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

41.0ms	112×	body	1280	valid
22.0ms	88×	body	640	valid
8.0ms	45×	body	320	valid
3.0ms	256×	pre	80	true
1.0ms	11×	body	160	valid

simplify380.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (245.0ms)

Iter	Nodes	Cost
0	6094	23

prune5.0ms

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

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
0.2b	(*.f64 n (log.f64 n))
5.1b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod_binary64_1134`
25×	`*-un-lft-identity_binary64_1216`
19×	`add-sqr-sqrt_binary64_1201`
15×	`add-cube-cbrt_binary64_1187`
14×	`distribute-lft-in_binary64_1258` `distribute-rgt-in_binary64_1259`
9×	`pow1_binary64_1162`
8×	`associate--l+_binary64_1272` `associate-r_binary64_1275`
7×	`add-cbrt-cube_binary64_1188` `associate-l_binary64_1276` `add-exp-log_binary64_1180`
6×	`associate--r+_binary64_1271`
5×	`distribute-lft-out_binary64_1260` `add-log-exp_binary64_1181`
2×	`associate-l/_binary64_1278` `cbrt-unprod_binary64_1185` `log-pow_binary64_1137` `pow-prod-down_binary64_1143` `unswap-sqr_binary64_1244` `prod-exp_binary64_1167` `-commutative_binary64_1284`
1×	`flip3--_binary64_1215` `flip-+_binary64_1241` `flip3-+_binary64_1214` `diff-log_binary64_1132` `sub-neg_binary64_1220` `flip--_binary64_1242`

Counts

3 → 80

Calls

3 calls:

12.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
5.0ms	(*.f64 n (log.f64 n))
12.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
63.0ms	(*.f64 n (log.f64 n))
52.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

simplify67.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5373	1544

prune254.0ms

Filtered

61 candidates to 89 candidates (-45.9%)

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

localize16.0ms

Local error

Found 1 expressions with local error:

1.2b	(/.f64 1/6 (*.f64 n n))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_1188` `add-exp-log_binary64_1180`
3×	`-un-lft-identity_binary64_1216` `add-sqr-sqrt_binary64_1201` `add-cube-cbrt_binary64_1187` `associate-/l_binary64_1280` `times-frac_binary64_1211`
2×	`div-exp_binary64_1169` `cbrt-undiv_binary64_1186`
1×	`cbrt-unprod_binary64_1185` `div-inv_binary64_1217` `pow1_binary64_1162` `clear-num_binary64_1219` `prod-exp_binary64_1167` `frac-2neg_binary64_1209` `add-log-exp_binary64_1181` `associate-/r*_binary64_1279`

Counts

1 → 21

Calls

1 calls:

9.0ms

(/.f64 1/6 (*.f64 n n))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(/.f64 1/6 (*.f64 n n))

simplify83.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4763	212
1	4763	212

prune91.0ms

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

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	96	24
1	96	24

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	3573×	body	1280	valid
649.0ms	2637×	body	640	valid
229.0ms	1354×	body	320	valid
84.0ms	8000×	pre	80	true
48.0ms	436×	body	160	valid

Details

analyze15.0ms

sample85.0ms

simplify380.0ms

prune5.0ms

localize15.0ms

rewrite32.0ms

series134.0ms

simplify67.0ms

prune254.0ms

localize16.0ms

rewrite10.0ms

series18.0ms

simplify83.0ms

prune91.0ms

simplify4.0ms

end0.0ms

sample2.5s

Profiling