Details

analyze14.0ms (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)

sample73.0ms (1.9%)

Algorithm

1×

intervals

Results

42.0ms	145×	body	1024	valid
11.0ms	58×	body	512	valid
5.0ms	12×	body	2048	valid
4.0ms	36×	body	256	valid
3.0ms	256×	pre	128	true
0.0ms	5×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify332.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (233.0ms)

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 (0.3%)

Local error

Found 3 expressions with local error:

0.3b	(*.f64 n (log.f64 n))
0.3b	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
5.1b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite32.0ms (0.8%)

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))

series128.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

75.0ms	(*.f64 n (log.f64 n))
38.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
15.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

simplify75.0ms (2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5204	1494

prune110.0ms (2.9%)

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 1901 to 1201 computations (36.8% saved)

localize7.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.2%)

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)

regimes153.0ms (4%)

Compiler: Compiled 1966 to 1483 computations (24.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	15
1	21	15

end0.0ms (0%)

sample2.9s (75.2%)

Algorithm

1×

intervals

Results

1.2s	4159×	body	1024	valid
422.0ms	2200×	body	512	valid
206.0ms	461×	body	2048	valid
122.0ms	1017×	body	256	valid
107.0ms	8000×	pre	128	true
10.0ms	163×	body	128	valid

Compiler

Compiled 688 to 523 computations (24% saved)

Details

analyze14.0ms (0.4%)

sample73.0ms (1.9%)

simplify332.0ms (8.7%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite32.0ms (0.8%)

series128.0ms (3.4%)

simplify75.0ms (2%)

prune110.0ms (2.9%)

localize7.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune0.0ms (0%)

regimes153.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.9s (75.2%)

Profiling