Details

analyze15.0ms (0.4%)

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)

sample81.0ms (2%)

Algorithm

1×

intervals

Results

39.0ms	131×	body	1024	valid
13.0ms	69×	body	512	valid
13.0ms	16×	body	2048	valid
4.0ms	36×	body	256	valid
4.0ms	256×	pre	128	true
0.0ms	4×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify322.0ms (7.9%)

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)

localize12.0ms (0.3%)

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))
5.6b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite29.0ms (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:

10.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
8.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
4.0ms	(*.f64 n (log.f64 n))

series154.0ms (3.8%)

Counts

3 → 12

Calls

3 calls:

78.0ms	(*.f64 n (log.f64 n))
56.0ms	(-.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)))

Compiler

Compiled 311 to 251 computations (19.3% saved)

simplify87.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4923	1511
1	4923	1511

prune121.0ms (3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	79	14	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	14	94

Merged error: 60.5b

Counts

94 → 14

Compiler

Compiled 2265 to 1458 computations (35.6% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_458`
6×	`add-sqr-sqrt_binary64_441`
5×	`*-un-lft-identity_binary64_419`
4×	`diff-log_binary64_511`
3×	`cancel-sign-sub-inv_binary64_385`
2×	`difference-of-squares_binary64_388` `add-cube-cbrt_binary64_454` `sum-log_binary64_510`
1×	`associate--l+_binary64_356` `sub-neg_binary64_412` `difference-of-sqr-1_binary64_389` `associate-+l-_binary64_354` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `associate--l-_binary64_357` `flip--_binary64_394` `pow1_binary64_480`

Counts

1 → 22

Calls

1 calls:

9.0ms

(-.f64 (+.f64 (-.f64 1 (log.f64 n)) (*.f64 n 1/2)) 1)

series53.0ms (1.3%)

Counts

1 → 5

Calls

1 calls:

53.0ms

(-.f64 (+.f64 (-.f64 1 (log.f64 n)) (*.f64 n 1/2)) 1)

Compiler

Compiled 49 to 44 computations (10.2% saved)

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5032	359

prune24.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	13	0	13
Picked	1	0	1
Done	0	0	0
Total	40	1	41

Merged error: 0b

Counts

41 → 1

Compiler

Compiled 323 to 210 computations (35% saved)

localize5.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Merged error: 0b

Counts

1 → 1

Compiler

Compiled 0 to 0 computations (0% saved)

regimes159.0ms (3.9%)

Compiler: Compiled 1999 to 1504 computations (24.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample2.9s (71.6%)

Algorithm

1×

intervals

Results

1.3s	4238×	body	1024	valid
410.0ms	2048×	body	512	valid
209.0ms	466×	body	2048	valid
132.0ms	1092×	body	256	valid
106.0ms	8000×	pre	128	true
9.0ms	156×	body	128	valid

Compiler

Compiled 695 to 526 computations (24.3% saved)

Details

analyze15.0ms (0.4%)

sample81.0ms (2%)

simplify322.0ms (7.9%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

rewrite29.0ms (0.7%)

series154.0ms (3.8%)

simplify87.0ms (2.1%)

prune121.0ms (3%)

localize9.0ms (0.2%)

rewrite11.0ms (0.3%)

series53.0ms (1.3%)

simplify66.0ms (1.6%)

prune24.0ms (0.6%)

localize5.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune0.0ms (0%)

regimes159.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.9s (71.6%)

Profiling