Details

sample77.0ms

Algorithm

intervals

Results

33.0ms	98×	body	1280	valid
23.0ms	102×	body	640	valid
8.0ms	49×	body	320	valid
4.0ms	256×	pre	80	true
1.0ms	7×	body	160	valid

simplify160.0ms

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

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (+ n 1.0) (log (+ n 1.0)))
0.2b	(* n (log n))
4.6b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite32.0ms

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)))

series446.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (+ n 1.0) (log (+ n 1.0)))
190.0ms	(* n (log n))
191.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify62.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (48.0ms)

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

prune187.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (/ 1 n))
0.1b	(* 0.16666666666666669 (/ 1 (pow n 2)))
1.2b	(/ 1 (pow n 2))

rewrite28.0ms

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))
16.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
4.0ms	(/ 1 (pow n 2))

series164.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(log (/ 1 n))
30.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
17.0ms	(/ 1 (pow n 2))

simplify53.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (37.0ms)

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

prune274.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.16666666666666669 (/ 1 (pow n 2)))
0.2b	(/ 1 (sqrt n))
0.2b	(/ 1 (sqrt n))
1.2b	(/ 1 (pow n 2))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

92×	`times-frac`
85×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`add-cube-cbrt`
41×	`add-exp-log`
28×	`associate-r`
24×	`sqrt-prod`
23×	`unpow-prod-down`
20×	`associate-/r*`
16×	`div-exp`
15×	`add-cbrt-cube`
10×	`pow1` `prod-exp`
9×	`associate-/l*` `unpow2` `unswap-sqr` `sqr-pow`
8×	`rec-exp` `1-exp`
7×	`pow-flip`
6×	`pow-to-exp` `pow-exp`
4×	`cbrt-undiv` `div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `inv-pow`
2×	`sqrt-pow1` `pow1/2` `cbrt-unprod`
1×	`associate-r/` `pow-prod-down` `un-div-inv` `-commutative`

Counts

4 → 210

Calls

4 calls:

19.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
3.0ms	(/ 1 (sqrt n))
3.0ms	(/ 1 (sqrt n))
4.0ms	(/ 1 (pow n 2))

series106.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
35.0ms	(/ 1 (sqrt n))
29.0ms	(/ 1 (sqrt n))
17.0ms	(/ 1 (pow n 2))

simplify56.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	475	1036
1	2191	874
2	5001	736

prune443.0ms

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	25	16
1	25	16

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	3629×	body	1280	valid
604.0ms	2627×	body	640	valid
221.0ms	1335×	body	320	valid
98.0ms	8000×	pre	80	true
47.0ms	409×	body	160	valid