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)

sample90.0ms (2.3%)

Algorithm

1×

intervals

Results

49.0ms	117×	body	1280	valid
22.0ms	86×	body	640	valid
7.0ms	41×	body	320	valid
3.0ms	256×	pre	80	true
1.0ms	12×	body	160	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify211.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	5239	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)

localize13.0ms (0.3%)

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

rewrite33.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64`
25×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
14×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
9×	`pow1_binary64`
8×	`associate-r_binary64` `associate--l+_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
6×	`associate--r+_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out_binary64`
3×	`insert-posit16`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 83

Calls

3 calls:

13.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
11.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))
5.0ms	(*.f64 n (log.f64 n))

series277.0ms (7.2%)

Counts

3 → 9

Calls

3 calls:

135.0ms	(*.f64 n (log.f64 n))
105.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
37.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

simplify131.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5078	1585

prune119.0ms (3.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	1	93

Merged error: 0b

Counts

93 → 1

Compiler

Compiled 1978 to 1249 computations (36.9% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.4b	(/.f64 1/6 (*.f64 n n))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate-/l_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `insert-posit16`

Counts

1 → 22

Calls

1 calls:

6.0ms

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

series35.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify187.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (171.0ms)

Iter	Nodes	Cost
0	4797	221
1	4797	221

prune27.0ms (0.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	1	26

Merged error: 0b

Counts

26 → 1

Compiler

Compiled 487 to 342 computations (29.8% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	97	24
1	97	24

end0.0ms (0%)

sample2.7s (69.6%)

Algorithm

1×

intervals

Results

1.4s	3674×	body	1280	valid
662.0ms	2602×	body	640	valid
232.0ms	1295×	body	320	valid
107.0ms	8000×	pre	80	true
48.0ms	429×	body	160	valid

Compiler

Compiled 74 to 61 computations (17.6% saved)

Details

analyze14.0ms (0.4%)

sample90.0ms (2.3%)

simplify211.0ms (5.5%)

prune3.0ms (0.1%)

localize13.0ms (0.3%)

rewrite33.0ms (0.9%)

series277.0ms (7.2%)

simplify131.0ms (3.4%)

prune119.0ms (3.1%)

localize13.0ms (0.3%)

rewrite7.0ms (0.2%)

series35.0ms (0.9%)

simplify187.0ms (4.9%)

prune27.0ms (0.7%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample2.7s (69.6%)

Profiling