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)

sample73.0ms (1.9%)

Algorithm

1×

intervals

Results

39.0ms	134×	body	1024	valid
12.0ms	64×	body	512	valid
7.0ms	14×	body	2048	valid
4.0ms	36×	body	256	valid
3.0ms	256×	pre	128	true
0.0ms	8×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify312.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	5237	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)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.3b	(*.f64 n (log.f64 n))
0.3b	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
6.3b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite33.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_853`
25×	`*-un-lft-identity_binary64_767`
19×	`add-sqr-sqrt_binary64_789`
15×	`add-cube-cbrt_binary64_802`
14×	`distribute-rgt-in_binary64_717` `distribute-lft-in_binary64_716`
9×	`pow1_binary64_828`
8×	`associate-r_binary64_707` `associate--l+_binary64_704`
7×	`associate-l_binary64_708` `add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
6×	`associate--r+_binary64_703`
5×	`distribute-lft-out_binary64_718` `add-log-exp_binary64_806`
2×	`unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `-commutative_binary64_698` `log-pow_binary64_856` `associate-l/_binary64_710` `pow-prod-down_binary64_838`
1×	`sub-neg_binary64_760` `flip-+_binary64_741` `cancel-sign-sub-inv_binary64_733` `diff-log_binary64_859` `flip3-+_binary64_770` `flip--_binary64_742` `flip3--_binary64_771`

Counts

3 → 81

Calls

3 calls:

12.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
10.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
5.0ms	(*.f64 n (log.f64 n))

series247.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

109.0ms	(*.f64 n (log.f64 n))
102.0ms	(-.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 (1.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4981	1539
1	4981	1539

prune464.0ms (12.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	1	91

Merged error: 0b

Counts

91 → 1

Compiler

Compiled 8664 to 6321 computations (27% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.5b	(/.f64 1/6 (*.f64 n n))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
3×	`times-frac_binary64_773` `add-sqr-sqrt_binary64_789` `associate-/l_binary64_712` `-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
2×	`cbrt-undiv_binary64_801` `div-exp_binary64_818`
1×	`frac-2neg_binary64_778` `associate-/r*_binary64_711` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `pow1_binary64_828` `add-log-exp_binary64_806` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

1 → 21

Calls

1 calls:

5.0ms

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

series33.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify94.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4794	212
1	4794	212

prune26.0ms (0.7%)

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)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	96	24
1	96	24

end0.0ms (0%)

sample2.4s (63%)

Algorithm

1×

intervals

Results

1.3s	4178×	body	1024	valid
418.0ms	2134×	body	512	valid
226.0ms	472×	body	2048	valid
130.0ms	1054×	body	256	valid
109.0ms	8000×	pre	128	true
10.0ms	162×	body	128	valid

Compiler

Compiled 74 to 61 computations (17.6% saved)

Details

analyze14.0ms (0.4%)

sample73.0ms (1.9%)

simplify312.0ms (8.2%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite33.0ms (0.9%)

series247.0ms (6.5%)

simplify73.0ms (1.9%)

prune464.0ms (12.2%)

localize10.0ms (0.3%)

rewrite7.0ms (0.2%)

series33.0ms (0.9%)

simplify94.0ms (2.5%)

prune26.0ms (0.7%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.4s (63%)

Profiling