Details

analyze14.0ms (0.4%)

Algorithm

1×

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample77.0ms (2.4%)

Algorithm

1×

intervals

Results

40.0ms	140×	body	1024	valid
12.0ms	65×	body	512	valid
9.0ms	11×	body	2048	valid
5.0ms	37×	body	256	valid
3.0ms	256×	pre	128	true
0.0ms	3×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify132.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	5238	23

prune3.0ms (0.1%)

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

Compiler

Compiled 30 to 24 computations (20% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.3b	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
0.3b	(*.f64 n (log.f64 n))
4.1b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite31.0ms (1%)

Algorithm

1×	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:

11.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
9.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
5.0ms	(*.f64 n (log.f64 n))

series257.0ms (8%)

Counts

3 → 9

Calls

3 calls:

118.0ms	(*.f64 n (log.f64 n))
101.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
37.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

simplify73.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5073	1541

prune110.0ms (3.5%)

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

Compiler

Compiled 1927 to 1216 computations (36.9% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.9b	(/.f64 1/6 (*.f64 n n))

rewrite6.0ms (0.2%)

Algorithm

1×	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 1/6 (*.f64 n n))

series36.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify88.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4794	212
1	4794	212

prune25.0ms (0.8%)

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

Compiler

Compiled 469 to 330 computations (29.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	96	24
1	96	24

end0.0ms (0%)

sample2.3s (72.7%)

Algorithm

1×

intervals

Results

1.2s	4288×	body	1024	valid
395.0ms	2059×	body	512	valid
225.0ms	488×	body	2048	valid
117.0ms	1008×	body	256	valid
101.0ms	8000×	pre	128	true
9.0ms	157×	body	128	valid

Compiler

Compiled 74 to 61 computations (17.6% saved)

Details

analyze14.0ms (0.4%)

sample77.0ms (2.4%)

simplify132.0ms (4.1%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

rewrite31.0ms (1%)

series257.0ms (8%)

simplify73.0ms (2.3%)

prune110.0ms (3.5%)

localize10.0ms (0.3%)

rewrite6.0ms (0.2%)

series36.0ms (1.1%)

simplify88.0ms (2.7%)

prune25.0ms (0.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.3s (72.7%)

Profiling