Details

sample90.0ms

Algorithm

intervals

Results

47.0ms	120×	body	1280	valid
23.0ms	88×	body	640	valid
6.0ms	33×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	15×	body	160	valid

simplify155.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (+ n 1.0) (log (+ n 1.0)))
0.3b	(* n (log n))
5.8b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite31.0ms

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:

14.0ms	(* (+ n 1.0) (log (+ n 1.0)))
4.0ms	(* n (log n))
11.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series436.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (+ n 1.0) (log (+ n 1.0)))
186.0ms	(* n (log n))
183.0ms	(- (* (+ 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

prune179.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (/ 1 n))
0.1b	(* 0.16666666666666669 (/ 1 (pow n 2)))
1.0b	(/ 1 (pow n 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

65×	`times-frac`
61×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
43×	`add-cube-cbrt`
37×	`add-exp-log`
28×	`associate-r`
23×	`unpow-prod-down`
14×	`div-exp`
13×	`log-prod`
10×	`prod-exp` `add-cbrt-cube`
9×	`unpow2` `unswap-sqr` `sqr-pow`
8×	`associate-/r*`
7×	`pow1` `rec-exp` `1-exp`
6×	`pow-to-exp` `pow-exp`
4×	`rem-log-exp`
3×	`associate-l` `log-pow` `div-inv` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `pow-flip` `cbrt-unprod` `inv-pow`
1×	`log-div` `frac-2neg` `associate-r/` `log-rec` `pow-prod-down` `clear-num` `un-div-inv` `-commutative`

Counts

3 → 149

Calls

3 calls:

2.0ms	(log (/ 1 n))
15.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
4.0ms	(/ 1 (pow n 2))

series163.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(log (/ 1 n))
24.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
20.0ms	(/ 1 (pow n 2))

simplify45.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	411	707
1	1693	564
2	5001	468

prune265.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.16666666666666669 (/ 1 (pow n 2)))
1.0b	(/ 1 (pow n 2))

rewrite28.0ms

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:

19.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
4.0ms	(/ 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

prune240.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	12
1	24	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3640×	body	1280	valid
672.0ms	2600×	body	640	valid
254.0ms	1333×	body	320	valid
100.0ms	8000×	pre	80	true
58.0ms	427×	body	160	valid