Details

analyze15.0ms (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)

sample85.0ms (2%)

Algorithm

1×

intervals

Results

42.0ms	137×	body	1024	valid
14.0ms	69×	body	512	valid
9.0ms	27×	body	256	valid
9.0ms	19×	body	2048	valid
3.0ms	256×	pre	128	true
0.0ms	4×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify324.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (231.0ms)

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

Error

63.0b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize200.0ms (4.7%)

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))
4.6b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite31.0ms (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)))
9.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
5.0ms	(*.f64 n (log.f64 n))

series143.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

65.0ms	(*.f64 n (log.f64 n))
55.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
23.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

simplify84.0ms (2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5429	1549

prune110.0ms (2.6%)

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

Error

Counts

91 → 1

Compiler

Compiled 1943 to 1225 computations (37% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

1.0b	(/.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))

series19.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify85.0ms (2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4679	212
1	4679	212

prune26.0ms (0.6%)

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

Error

Counts

25 → 1

Compiler

Compiled 453 to 317 computations (30% saved)

regimes148.0ms (3.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 1948 to 1465 computations (24.8% saved)

bsearch0.0ms (0%)

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%)

sample3.0s (69.8%)

Algorithm

1×

intervals

Results

1.3s	4288×	body	1024	valid
422.0ms	2093×	body	512	valid
217.0ms	460×	body	2048	valid
135.0ms	1029×	body	256	valid
112.0ms	8000×	pre	128	true
8.0ms	130×	body	128	valid

Compiler

Compiled 688 to 521 computations (24.3% saved)

Details

analyze15.0ms (0.3%)

sample85.0ms (2%)

simplify324.0ms (7.6%)

prune3.0ms (0.1%)

localize200.0ms (4.7%)

rewrite31.0ms (0.7%)

series143.0ms (3.3%)

simplify84.0ms (2%)

prune110.0ms (2.6%)

localize10.0ms (0.2%)

rewrite6.0ms (0.1%)

series19.0ms (0.4%)

simplify85.0ms (2%)

prune26.0ms (0.6%)

regimes148.0ms (3.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.0s (69.8%)

Profiling