Details

analyze19.0ms (0.5%)

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)

sample71.0ms (1.9%)

Algorithm

1×

intervals

Results

39.0ms	132×	body	1024	valid
13.0ms	69×	body	512	valid
5.0ms	10×	body	2048	valid
4.0ms	36×	body	256	valid
3.0ms	256×	pre	128	true
1.0ms	9×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify293.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5238	23

prune2.0ms (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:

0.2b	(*.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)))

rewrite33.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_834`
25×	`*-un-lft-identity_binary64_751`
19×	`add-sqr-sqrt_binary64_772`
15×	`add-cube-cbrt_binary64_783`
14×	`distribute-lft-in_binary64_702` `distribute-rgt-in_binary64_703`
9×	`pow1_binary64_809`
8×	`associate--l+_binary64_690` `associate-r_binary64_693`
7×	`add-cbrt-cube_binary64_784` `associate-l_binary64_694` `add-exp-log_binary64_786`
6×	`associate--r+_binary64_689`
5×	`distribute-lft-out_binary64_704` `add-log-exp_binary64_787`
2×	`prod-exp_binary64_797` `unswap-sqr_binary64_719` `pow-prod-down_binary64_819` `-commutative_binary64_684` `log-pow_binary64_837` `cbrt-unprod_binary64_781` `associate-l/_binary64_696`
1×	`flip3-+_binary64_754` `flip--_binary64_726` `diff-log_binary64_840` `sub-neg_binary64_744` `flip3--_binary64_755` `flip-+_binary64_725`

Counts

3 → 80

Calls

3 calls:

11.0ms	(-.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))

series254.0ms (6.9%)

Counts

3 → 9

Calls

3 calls:

113.0ms	(*.f64 n (log.f64 n))
104.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
36.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5073	1541

prune107.0ms (2.9%)

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: 0.0b

Counts

90 → 1

Compiler

Compiled 1927 to 1216 computations (36.9% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
0.0b	(-.f64 (-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))) 1)
1.0b	(/.f64 1/6 (*.f64 n n))

rewrite59.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_751`
29×	`add-log-exp_binary64_787`
27×	`distribute-lft-out--_binary64_705`
17×	`diff-log_binary64_840`
11×	`add-sqr-sqrt_binary64_772`
8×	`add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
7×	`pow1_binary64_809`
6×	`distribute-lft-out_binary64_704`
5×	`add-cube-cbrt_binary64_783` `associate--l+_binary64_690`
4×	`frac-sub_binary64_760` `flip--_binary64_726` `log-pow_binary64_837` `sum-log_binary64_839` `sub-neg_binary64_744` `flip3--_binary64_755`
3×	`times-frac_binary64_757` `associate-/l*_binary64_698` `difference-of-squares_binary64_720`
2×	`flip3-+_binary64_754` `cbrt-undiv_binary64_782` `associate--r-_binary64_692` `flip-+_binary64_725` `div-exp_binary64_799`
1×	`prod-exp_binary64_797` `associate-/r*_binary64_697` `div-inv_binary64_748` `difference-of-sqr-1_binary64_721` `frac-2neg_binary64_762` `associate--l-_binary64_691` `cbrt-unprod_binary64_781` `associate--r+_binary64_689` `clear-num_binary64_750`

Counts

3 → 78

Calls

3 calls:

25.0ms	(-.f64 (-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))) 1)
19.0ms	(-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
7.0ms	(/.f64 1/6 (*.f64 n n))

series103.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
35.0ms	(-.f64 (-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))) 1)
33.0ms	(/.f64 1/6 (*.f64 n n))

simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4997	2202
1	4997	2202

prune102.0ms (2.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	1	88

Merged error: 0b

Counts

88 → 1

Compiler

Compiled 2023 to 1338 computations (33.9% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

1.0b	(/.f64 1/6 (*.f64 n n))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
3×	`add-cube-cbrt_binary64_783` `times-frac_binary64_757` `-un-lft-identity_binary64_751` `associate-/l_binary64_698` `add-sqr-sqrt_binary64_772`
2×	`cbrt-undiv_binary64_782` `div-exp_binary64_799`
1×	`prod-exp_binary64_797` `associate-/r*_binary64_697` `pow1_binary64_809` `add-log-exp_binary64_787` `div-inv_binary64_748` `frac-2neg_binary64_762` `cbrt-unprod_binary64_781` `clear-num_binary64_750`

Counts

1 → 21

Calls

1 calls:

5.0ms

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

series38.0ms (1%)

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify92.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4794	212
1	4794	212

prune19.0ms (0.5%)

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 369 to 230 computations (37.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	18
1	28	18

end0.0ms (0%)

sample2.3s (63.1%)

Algorithm

1×

intervals

Results

1.2s	4189×	body	1024	valid
406.0ms	2096×	body	512	valid
229.0ms	481×	body	2048	valid
135.0ms	1092×	body	256	valid
104.0ms	8000×	pre	128	true
8.0ms	142×	body	128	valid

Compiler

Compiled 66 to 53 computations (19.7% saved)

Details

analyze19.0ms (0.5%)

sample71.0ms (1.9%)

simplify293.0ms (7.9%)

prune2.0ms (0.1%)

localize10.0ms (0.3%)

rewrite33.0ms (0.9%)

series254.0ms (6.9%)

simplify73.0ms (2%)

prune107.0ms (2.9%)

localize10.0ms (0.3%)

rewrite59.0ms (1.6%)

series103.0ms (2.8%)

simplify66.0ms (1.8%)

prune102.0ms (2.8%)

localize8.0ms (0.2%)

rewrite6.0ms (0.2%)

series38.0ms (1%)

simplify92.0ms (2.5%)

prune19.0ms (0.5%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.3s (63.1%)

Profiling