Details

sample44.0ms

Algorithm

intervals

Results

12.0ms	48×	body	1280	valid
6.0ms	41×	body	640	valid
6.0ms	259×	body	80	nan
6.0ms	130×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	14×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune5.0ms

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: 29.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.2b	(log (+ N 1.0))
3.4b	(- (log (+ N 1.0)) (log N))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
7×	`pow1` `add-sqr-sqrt`
6×	`add-log-exp`
5×	`add-cube-cbrt` `log-pow`
4×	`log-div` `diff-log` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 44

Calls

2 calls:

3.0ms	(log (+ N 1.0))
7.0ms	(- (log (+ N 1.0)) (log N))

series150.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(log (+ N 1.0))
101.0ms	(- (log (+ N 1.0)) (log N))

simplify56.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	211	284
1	560	270
2	1900	258
3	5001	255

prune82.0ms

Filtered

50 candidates to 33 candidates (66.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	3	51

Merged error: 0.0b

Counts

51 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
3.3b	(log (/ (+ N 1.0) N))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
12×	`log-div`
10×	`associate-/l*`
9×	`distribute-lft-out`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/l/`
3×	`pow1` `log-rec` `clear-num`
2×	`frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `log-pow`

Counts

2 → 74

Calls

2 calls:

8.0ms	(/ (+ N 1.0) N)
6.0ms	(log (/ (+ N 1.0) N))

series139.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (+ N 1.0) N)
91.0ms	(log (/ (+ N 1.0) N))

simplify112.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	264	452
1	862	420
2	3701	412
3	5001	412

prune108.0ms

Filtered

80 candidates to 55 candidates (68.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	80	3	83

Merged error: 0.0b

Counts

83 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))
3.3b	(log (/ (+ N 1.0) N))
3.3b	(log (/ (+ N 1.0) N))
3.3b	(log (/ (+ N 1.0) N))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

77×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
48×	`log-prod`
42×	`add-cube-cbrt`
36×	`log-div` `times-frac`
24×	`cbrt-prod`
20×	`pow1`
18×	`associate-/l*`
15×	`add-exp-log` `distribute-lft-out`
9×	`swap-sqr` `log-rec` `associate-/r*` `log-pow`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`pow1/3` `rem-log-exp` `clear-num` `associate-/l/`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 171

Calls

4 calls:

7.0ms	(* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))
6.0ms	(log (/ (+ N 1.0) N))
6.0ms	(log (/ (+ N 1.0) N))
6.0ms	(log (/ (+ N 1.0) N))

series497.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))
95.0ms	(log (/ (+ N 1.0) N))
90.0ms	(log (/ (+ N 1.0) N))
89.0ms	(log (/ (+ N 1.0) N))

simplify74.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	537	1576
1	1962	1445
2	5001	1282

prune336.0ms

Filtered

183 candidates to 118 candidates (64.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	183	3	186

Merged error: 0.0b

Counts

186 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

3.3b	(log (/ (+ N 1.0) N))
3.3b	(log (/ (+ N 1.0) N))
3.3b	(log (/ (+ N 1.0) N))
3.3b	(log (/ (+ N 1.0) N))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
64×	`log-prod`
48×	`log-div` `times-frac`
44×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`associate-/l*`
20×	`distribute-lft-out`
16×	`add-exp-log`
12×	`log-rec` `associate-/r*`
8×	`pow1` `rem-log-exp` `clear-num` `associate-/l/`
4×	`frac-2neg` `flip3-+` `div-exp` `log-pow` `add-cbrt-cube` `flip-+` `div-inv` `add-log-exp`

Counts

4 → 164

Calls

4 calls:

6.0ms	(log (/ (+ N 1.0) N))
6.0ms	(log (/ (+ N 1.0) N))
6.0ms	(log (/ (+ N 1.0) N))
6.0ms	(log (/ (+ N 1.0) N))

series356.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(log (/ (+ N 1.0) N))
88.0ms	(log (/ (+ N 1.0) N))
88.0ms	(log (/ (+ N 1.0) N))
91.0ms	(log (/ (+ N 1.0) N))

simplify96.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	228	1148
1	635	1068
2	2602	1036
3	5002	1036

prune448.0ms

Filtered

176 candidates to 120 candidates (68.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	176	3	179

Merged error: 0.0b

Counts

179 → 3

regimes22.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.2b

bsearch32.0ms

Steps

Iters	Range		Point
9	1450.1527464788446	418884803.12646145	10104.775008490958

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

442.0ms	1722×	body	1280	valid
205.0ms	1255×	body	640	valid
190.0ms	7818×	body	80	nan
180.0ms	4106×	body	80	valid
63.0ms	598×	body	320	valid
21.0ms	319×	body	160	valid