Details

sample69.0ms

Algorithm

intervals

Results

35.0ms	116×	body	1280	valid
16.0ms	82×	body	640	valid
6.0ms	48×	body	320	valid
2.0ms	256×	pre	80	true
1.0ms	10×	body	160	valid

simplify158.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	8
1	43	8
2	123	8
3	212	8
4	374	8
5	496	8
6	715	8
7	967	8
8	1121	8
9	1221	8
10	1497	8
11	1752	8
12	2132	8
13	2469	8
14	3314	8
15	5001	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (+ n 1.0) (log (+ n 1.0)))
0.3b	(* n (log n))
4.6b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
14×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`associate-r` `associate--l+`
7×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`associate--r+`
5×	`distribute-lft-out` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 81

Calls

3 calls:

12.0ms	(* (+ n 1.0) (log (+ n 1.0)))
4.0ms	(* n (log n))
9.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series425.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* (+ n 1.0) (log (+ n 1.0)))
175.0ms	(* n (log n))
182.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify55.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	419	643
1	1786	587
2	5001	568

prune183.0ms

Filtered

90 candidates to 63 candidates (70.0%)

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

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 0.16666666666666669 (/ 1 (pow n 2)))
0.5b	(/ 1 (pow n 2))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

56×	`times-frac`
53×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`add-cube-cbrt`
31×	`add-exp-log`
28×	`associate-r`
23×	`unpow-prod-down`
12×	`div-exp`
10×	`prod-exp`
9×	`add-cbrt-cube` `unpow2` `unswap-sqr` `sqr-pow`
8×	`associate-/r*`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`pow1`
3×	`associate-l` `associate-/l*`
2×	`cbrt-undiv` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 120

Calls

2 calls:

15.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
5.0ms	(/ 1 (pow n 2))

series41.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
16.0ms	(/ 1 (pow n 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	328	574
1	1460	451
2	5002	367

prune215.0ms

Filtered

126 candidates to 59 candidates (46.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	126	1	127

Merged error: 0b

Counts

127 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	3559×	body	1280	valid
527.0ms	2625×	body	640	valid
180.0ms	1356×	body	320	valid
69.0ms	8000×	pre	80	true
41.0ms	460×	body	160	valid