Details

analyze14.0ms (0.3%)

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)

sample72.0ms (1.6%)

Algorithm

1×

intervals

Results

38.0ms	128×	body	1024	valid
15.0ms	79×	body	512	valid
4.0ms	34×	body	256	valid
4.0ms	9×	body	2048	valid
3.0ms	256×	pre	128	true
0.0ms	6×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify328.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (228.0ms)

Iter	Nodes	Cost
0	6094	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 (0.2%)

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))
6.6b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_505`
25×	`*-un-lft-identity_binary64_419`
19×	`add-sqr-sqrt_binary64_441`
15×	`add-cube-cbrt_binary64_454`
14×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
9×	`pow1_binary64_480`
8×	`associate--l+_binary64_356` `associate-r_binary64_359`
7×	`associate-l_binary64_360` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
6×	`associate--r+_binary64_355`
5×	`add-log-exp_binary64_458` `distribute-lft-out_binary64_370`
2×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `log-pow_binary64_508` `-commutative_binary64_350`
1×	`flip3-+_binary64_422` `sub-neg_binary64_412` `flip3--_binary64_423` `flip-+_binary64_393` `diff-log_binary64_511` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

3 → 81

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))

series150.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

74.0ms	(*.f64 n (log.f64 n))
55.0ms	(-.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)))

simplify81.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5429	1549

prune296.0ms (6.6%)

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: 0.0b

Counts

91 → 1

Compiler

Compiled 1943 to 1225 computations (37% saved)

localize10.0ms (0.2%)

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)
1.3b	(/.f64 1/6 (*.f64 n n))

rewrite61.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64_419`
31×	`distribute-lft-out--_binary64_371`
29×	`add-log-exp_binary64_458`
23×	`add-sqr-sqrt_binary64_441`
21×	`cancel-sign-sub-inv_binary64_385`
17×	`diff-log_binary64_511`
12×	`associate--l+_binary64_356`
10×	`pow1_binary64_480`
9×	`add-cube-cbrt_binary64_454`
8×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
7×	`difference-of-squares_binary64_388` `log-pow_binary64_508`
6×	`distribute-lft-out_binary64_370`
5×	`times-frac_binary64_425` `associate--r+_binary64_355`
4×	`sub-neg_binary64_412` `sum-log_binary64_510` `flip3--_binary64_423` `flip--_binary64_394` `frac-sub_binary64_428`
3×	`associate-/l*_binary64_364`
2×	`flip3-+_binary64_422` `associate--r-_binary64_358` `flip-+_binary64_393` `div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`clear-num_binary64_418` `difference-of-sqr-1_binary64_389` `div-inv_binary64_416` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `associate--l-_binary64_357` `associate-/r*_binary64_363`

Counts

3 → 99

Calls

3 calls:

25.0ms	(-.f64 (-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))) 1)
23.0ms	(-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
5.0ms	(/.f64 1/6 (*.f64 n n))

series58.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
20.0ms	(-.f64 (-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))) 1)
17.0ms	(/.f64 1/6 (*.f64 n n))

simplify84.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4923	2430
1	4923	2430

prune111.0ms (2.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	1	109

Merged error: 0b

Counts

109 → 1

Compiler

Compiled 2355 to 1515 computations (35.7% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

1.3b	(/.f64 1/6 (*.f64 n n))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
3×	`-un-lft-identity_binary64_419` `times-frac_binary64_425` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `associate-/l_binary64_364`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`clear-num_binary64_418` `add-log-exp_binary64_458` `div-inv_binary64_416` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `associate-/r*_binary64_363` `pow1_binary64_480`

Counts

1 → 21

Calls

1 calls:

5.0ms

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

series18.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4679	212
1	4679	212

prune18.0ms (0.4%)

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 357 to 221 computations (38.1% saved)

regimes151.0ms (3.4%)

Compiler: Compiled 1939 to 1453 computations (25.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	106	18
1	106	18

end0.0ms (0%)

sample2.9s (64.4%)

Algorithm

1×

intervals

Results

1.3s	4288×	body	1024	valid
395.0ms	2019×	body	512	valid
215.0ms	470×	body	2048	valid
127.0ms	1054×	body	256	valid
105.0ms	8000×	pre	128	true
10.0ms	169×	body	128	valid

Compiler

Compiled 681 to 513 computations (24.7% saved)

Details

analyze14.0ms (0.3%)

sample72.0ms (1.6%)

simplify328.0ms (7.3%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite32.0ms (0.7%)

series150.0ms (3.3%)

simplify81.0ms (1.8%)

prune296.0ms (6.6%)

localize10.0ms (0.2%)

rewrite61.0ms (1.4%)

series58.0ms (1.3%)

simplify84.0ms (1.9%)

prune111.0ms (2.5%)

localize10.0ms (0.2%)

rewrite6.0ms (0.1%)

series18.0ms (0.4%)

simplify83.0ms (1.9%)

prune18.0ms (0.4%)

regimes151.0ms (3.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.9s (64.4%)

Profiling