Details

sample88.0ms

Algorithm

intervals

Results

42.0ms	110×	body	1280	valid
19.0ms	74×	body	640	valid
9.0ms	51×	body	320	valid
7.0ms	256×	pre	80	true
2.0ms	21×	body	160	valid

simplify164.0ms

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	1481	8
11	1659	8
12	2039	8
13	2376	8
14	3209	8
15	5001	8

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (+ n 1.0) (log (+ n 1.0)))
0.3b	(* n (log n))
8.5b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite22.0ms

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:

8.0ms	(* (+ n 1.0) (log (+ n 1.0)))
4.0ms	(* n (log n))
8.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series33.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (+ n 1.0) (log (+ n 1.0)))
15.0ms	(* n (log n))
14.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	439	660
1	1891	592
2	5001	573

prune125.0ms

Filtered

90 candidates to 63 candidates (30.0%)

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

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (/ 1 n))
0.1b	(* 0.16666666666666669 (/ 1 (pow n 2)))
0.8b	(/ 1 (pow n 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
67×	`times-frac`
49×	`*-un-lft-identity`
44×	`add-cube-cbrt`
41×	`add-exp-log` `associate-r`
23×	`unpow-prod-down`
15×	`add-cbrt-cube`
14×	`div-exp` `prod-exp`
12×	`unswap-sqr`
9×	`unpow2` `sqr-pow`
8×	`associate-/r*`
7×	`pow1` `rec-exp` `1-exp`
6×	`pow-to-exp` `associate-l` `pow-exp`
4×	`cbrt-unprod`
3×	`cbrt-undiv` `div-inv` `associate-/l*` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `un-div-inv` `-commutative`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 156

Calls

3 calls:

7.0ms	(* 0.5 (/ 1 n))
11.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
5.0ms	(/ 1 (pow n 2))

series7.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(* 0.5 (/ 1 n))
3.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
2.0ms	(/ 1 (pow n 2))

simplify57.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	480	697
1	2247	546
2	5002	452

prune232.0ms

Filtered

165 candidates to 84 candidates (49.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	1	166

Merged error: 0b

Counts

166 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	15
1	29	15

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3627×	body	1280	valid
668.0ms	2614×	body	640	valid
233.0ms	1322×	body	320	valid
90.0ms	8000×	pre	80	true
48.0ms	437×	body	160	valid

Details

sample88.0ms

simplify164.0ms

prune3.0ms

localize10.0ms

rewrite22.0ms

series33.0ms

simplify54.0ms

prune125.0ms

localize19.0ms

rewrite28.0ms

series7.0ms

simplify57.0ms

prune232.0ms

simplify2.0ms

end0.0ms

sample2.6s

Profiling