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)

sample71.0ms (1.7%)

Algorithm

1×

intervals

Results

38.0ms	132×	body	1024	valid
13.0ms	69×	body	512	valid
5.0ms	10×	body	2048	valid
4.0ms	36×	body	256	valid
3.0ms	256×	pre	128	true
1.0ms	9×	body	128	valid

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify332.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	5237	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))
5.1b	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))

rewrite40.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_853`
25×	`*-un-lft-identity_binary64_767`
19×	`add-sqr-sqrt_binary64_789`
15×	`add-cube-cbrt_binary64_802`
14×	`distribute-rgt-in_binary64_717` `distribute-lft-in_binary64_716`
9×	`pow1_binary64_828`
8×	`associate-r_binary64_707` `associate--l+_binary64_704`
7×	`associate-l_binary64_708` `add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
6×	`associate--r+_binary64_703`
5×	`distribute-lft-out_binary64_718` `add-log-exp_binary64_806`
2×	`unswap-sqr_binary64_735` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `-commutative_binary64_698` `log-pow_binary64_856` `associate-l/_binary64_710` `pow-prod-down_binary64_838`
1×	`sub-neg_binary64_760` `flip-+_binary64_741` `cancel-sign-sub-inv_binary64_733` `diff-log_binary64_859` `flip3-+_binary64_770` `flip--_binary64_742` `flip3--_binary64_771`

Counts

3 → 81

Calls

3 calls:

12.0ms	(-.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))

series270.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

120.0ms	(*.f64 n (log.f64 n))
108.0ms	(-.f64 (.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (.f64 n (log.f64 n)))
41.0ms	(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4981	1539
1	4981	1539

prune468.0ms (11.2%)

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: 0.0b

Counts

91 → 1

Compiler

Compiled 8565 to 5974 computations (30.3% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
0.0b	(-.f64 (-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))) 1)
1.0b	(/.f64 1/6 (*.f64 n n))

rewrite62.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64_767`
31×	`distribute-lft-out--_binary64_719`
29×	`add-log-exp_binary64_806`
23×	`add-sqr-sqrt_binary64_789`
21×	`cancel-sign-sub-inv_binary64_733`
17×	`diff-log_binary64_859`
12×	`associate--l+_binary64_704`
10×	`pow1_binary64_828`
9×	`add-cube-cbrt_binary64_802`
8×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
7×	`log-pow_binary64_856` `difference-of-squares_binary64_736`
6×	`distribute-lft-out_binary64_718`
5×	`times-frac_binary64_773` `associate--r+_binary64_703`
4×	`sub-neg_binary64_760` `frac-sub_binary64_776` `sum-log_binary64_858` `flip--_binary64_742` `flip3--_binary64_771`
3×	`associate-/l*_binary64_712`
2×	`associate--r-_binary64_706` `cbrt-undiv_binary64_801` `flip-+_binary64_741` `flip3-+_binary64_770` `div-exp_binary64_818`
1×	`frac-2neg_binary64_778` `associate-/r*_binary64_711` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `clear-num_binary64_766` `div-inv_binary64_764` `difference-of-sqr-1_binary64_737` `associate--l-_binary64_705`

Counts

3 → 99

Calls

3 calls:

26.0ms	(-.f64 (-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))) 1)
21.0ms	(-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
5.0ms	(/.f64 1/6 (*.f64 n n))

series108.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

40.0ms	(-.f64 (-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n))) 1)
35.0ms	(-.f64 (+.f64 1 (/.f64 1/2 n)) (-.f64 (/.f64 1/6 (*.f64 n n)) (log.f64 n)))
32.0ms	(/.f64 1/6 (*.f64 n n))

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5435	2430

prune119.0ms (2.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	1	109

Merged error: 0b

Counts

109 → 1

Compiler

Compiled 2409 to 1557 computations (35.4% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

1.0b	(/.f64 1/6 (*.f64 n n))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_805` `add-cbrt-cube_binary64_803`
3×	`times-frac_binary64_773` `add-sqr-sqrt_binary64_789` `associate-/l_binary64_712` `-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
2×	`cbrt-undiv_binary64_801` `div-exp_binary64_818`
1×	`frac-2neg_binary64_778` `associate-/r*_binary64_711` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `pow1_binary64_828` `add-log-exp_binary64_806` `clear-num_binary64_766` `div-inv_binary64_764`

Counts

1 → 21

Calls

1 calls:

5.0ms

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

series42.0ms (1%)

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify95.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4794	212
1	4794	212

prune19.0ms (0.5%)

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 369 to 230 computations (37.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	106	18
1	106	18

end0.0ms (0%)

sample2.4s (56.5%)

Algorithm

1×

intervals

Results

1.2s	4189×	body	1024	valid
414.0ms	2096×	body	512	valid
225.0ms	481×	body	2048	valid
134.0ms	1092×	body	256	valid
102.0ms	8000×	pre	128	true
8.0ms	142×	body	128	valid

Compiler

Compiled 66 to 53 computations (19.7% saved)

Details

analyze14.0ms (0.3%)

sample71.0ms (1.7%)

simplify332.0ms (7.9%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite40.0ms (0.9%)

series270.0ms (6.4%)

simplify73.0ms (1.7%)

prune468.0ms (11.2%)

localize11.0ms (0.3%)

rewrite62.0ms (1.5%)

series108.0ms (2.6%)

simplify68.0ms (1.6%)

prune119.0ms (2.8%)

localize8.0ms (0.2%)

rewrite7.0ms (0.2%)

series42.0ms (1%)

simplify95.0ms (2.3%)

prune19.0ms (0.5%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.4s (56.5%)

Profiling