Details

analyze19.0ms (0.6%)

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)

sample74.0ms (2.3%)

Algorithm

1×

intervals

Results

42.0ms	145×	body	1024	valid
11.0ms	62×	body	512	valid
7.0ms	16×	body	2048	valid
3.0ms	29×	body	256	valid
3.0ms	256×	pre	128	true
0.0ms	4×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify306.0ms (9.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (213.0ms)

Iter	Nodes	Cost
0	6094	23

prune6.0ms (0.2%)

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))
4.4b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite30.0ms (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:

10.0ms	(-.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)))
4.0ms	(*.f64 n (log.f64 n))

series140.0ms (4.4%)

Counts

3 → 9

Calls

3 calls:

65.0ms	(*.f64 n (log.f64 n))
54.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
20.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5537	1541

prune109.0ms (3.4%)

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)

localize16.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.8b	(/.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:

4.0ms

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

series16.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify77.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4742	212
1	4742	212

prune27.0ms (0.9%)

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 (71.1%)

Algorithm

1×

intervals

Results

1.2s	4234×	body	1024	valid
390.0ms	2047×	body	512	valid
188.0ms	427×	body	2048	valid
132.0ms	1133×	body	256	valid
99.0ms	8000×	pre	128	true
12.0ms	159×	body	128	valid

Compiler

Compiled 74 to 61 computations (17.6% saved)

Details

analyze19.0ms (0.6%)

sample74.0ms (2.3%)

simplify306.0ms (9.7%)

prune6.0ms (0.2%)

localize10.0ms (0.3%)

rewrite30.0ms (0.9%)

series140.0ms (4.4%)

simplify75.0ms (2.4%)

prune109.0ms (3.4%)

localize16.0ms (0.5%)

rewrite6.0ms (0.2%)

series16.0ms (0.5%)

simplify77.0ms (2.4%)

prune27.0ms (0.9%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.3s (71.1%)

Profiling