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)

sample78.0ms (2%)

Algorithm

1×

intervals

Results

41.0ms	145×	body	1024	valid
16.0ms	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)

simplify330.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (237.0ms)

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)

localize10.0ms (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))
4.4b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_846`
25×	`*-un-lft-identity_binary64_760`
19×	`add-sqr-sqrt_binary64_782`
15×	`add-cube-cbrt_binary64_795`
14×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710`
9×	`pow1_binary64_821`
8×	`associate-r_binary64_700` `associate--l+_binary64_697`
7×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-l_binary64_701`
6×	`associate--r+_binary64_696`
5×	`distribute-lft-out_binary64_711` `add-log-exp_binary64_799`
2×	`unswap-sqr_binary64_728` `associate-l/_binary64_703` `prod-exp_binary64_809` `log-pow_binary64_849` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `-commutative_binary64_691`
1×	`diff-log_binary64_852` `flip3-+_binary64_763` `cancel-sign-sub-inv_binary64_726` `flip-+_binary64_734` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

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))

series137.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

62.0ms	(*.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)))

simplify84.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5429	1549

prune109.0ms (2.8%)

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 1943 to 1225 computations (37% saved)

localize13.0ms (0.3%)

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-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `associate-/l_binary64_705` `times-frac_binary64_766` `add-sqr-sqrt_binary64_782`
2×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
1×	`frac-2neg_binary64_771` `prod-exp_binary64_809` `associate-/r*_binary64_704` `add-log-exp_binary64_799` `div-inv_binary64_757` `cbrt-unprod_binary64_793` `pow1_binary64_821` `clear-num_binary64_759`

Counts

1 → 21

Calls

1 calls:

4.0ms

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

series17.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify89.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4679	212
1	4679	212

prune22.0ms (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

Merged error: 0b

Counts

25 → 1

Compiler

Compiled 453 to 317 computations (30% saved)

regimes151.0ms (3.9%)

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%)

sample2.8s (71.9%)

Algorithm

1×

intervals

Results

1.2s	4234×	body	1024	valid
393.0ms	2047×	body	512	valid
186.0ms	427×	body	2048	valid
132.0ms	1133×	body	256	valid
99.0ms	8000×	pre	128	true
9.0ms	159×	body	128	valid

Compiler

Compiled 688 to 521 computations (24.3% saved)

Details

analyze14.0ms (0.3%)

sample78.0ms (2%)

simplify330.0ms (8.4%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite35.0ms (0.9%)

series137.0ms (3.5%)

simplify84.0ms (2.2%)

prune109.0ms (2.8%)

localize13.0ms (0.3%)

rewrite6.0ms (0.2%)

series17.0ms (0.4%)

simplify89.0ms (2.3%)

prune22.0ms (0.6%)

regimes151.0ms (3.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.8s (71.9%)

Profiling