Details

sample75.0ms

Algorithm

intervals

Results

22.0ms	55×	body	1280	valid
12.0ms	39×	body	640	valid
12.0ms	267×	body	80	nan
9.0ms	127×	body	80	valid
4.0ms	21×	body	320	valid
2.0ms	14×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

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: 30.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

2.8b	(log (+ N 1.0))
3.6b	(- (log (+ N 1.0)) (log N))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

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

series9.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	232	285
1	628	264
2	2171	244
3	5001	244

prune88.0ms

Filtered

47 candidates to 34 candidates (27.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	2	48

Merged error: 0.0b

Counts

48 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
3.7b	(log (/ (+ N 1.0) N))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

5.0ms	(/ (+ N 1.0) N)
4.0ms	(log (/ (+ N 1.0) N))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (+ N 1.0) N)
4.0ms	(log (/ (+ N 1.0) N))

simplify92.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	221	370
1	736	343
2	3220	333
3	5002	333

prune78.0ms

Filtered

66 candidates to 46 candidates (30.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	3	68

Merged error: 0.0b

Counts

68 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))
3.7b	(log (/ (+ N 1.0) N))
3.7b	(log (/ (+ N 1.0) N))
3.7b	(log (/ (+ N 1.0) N))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
48×	`log-prod`
44×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `times-frac`
24×	`cbrt-prod`
20×	`pow1`
15×	`add-exp-log`
9×	`swap-sqr` `log-pow` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`pow1/3` `rem-log-exp`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`log-div` `div-exp` `div-inv`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

6.0ms	(* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))
4.0ms	(log (/ (+ N 1.0) N))
4.0ms	(log (/ (+ N 1.0) N))
4.0ms	(log (/ (+ N 1.0) N))

series31.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))
4.0ms	(log (/ (+ N 1.0) N))
4.0ms	(log (/ (+ N 1.0) N))
4.0ms	(log (/ (+ N 1.0) N))

simplify55.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	430	1250
1	1657	1137
2	5002	1002

prune294.0ms

Filtered

138 candidates to 90 candidates (34.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	138	3	141

Merged error: 0.0b

Counts

141 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

3.7b	(log (/ (+ N 1.0) N))
3.7b	(log (/ (+ N 1.0) N))
3.7b	(log (/ (+ N 1.0) N))
3.7b	(log (/ (+ N 1.0) N))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

64×	`log-prod`
60×	`*-un-lft-identity`
48×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log`
12×	`distribute-lft-out`
8×	`pow1` `rem-log-exp`
4×	`log-div` `div-exp` `log-pow` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

4 → 108

Calls

4 calls:

4.0ms	(log (/ (+ N 1.0) N))
4.0ms	(log (/ (+ N 1.0) N))
4.0ms	(log (/ (+ N 1.0) N))
4.0ms	(log (/ (+ N 1.0) N))

series14.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(log (/ (+ N 1.0) N))
3.0ms	(log (/ (+ N 1.0) N))
4.0ms	(log (/ (+ N 1.0) N))
4.0ms	(log (/ (+ N 1.0) N))

simplify57.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	154	820
1	416	752
2	1717	712
3	5001	712

prune364.0ms

Filtered

120 candidates to 84 candidates (30.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	120	3	123

Merged error: 0.0b

Counts

123 → 3

regimes33.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.5b

bsearch13.0ms

Steps

Iters	Range		Point
8	3305.2465175981883	3539987.675118926	7591.843347197406

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

510.0ms	1805×	body	1280	valid
322.0ms	4053×	body	80	valid
246.0ms	8182×	body	80	nan
226.0ms	1251×	body	640	valid
71.0ms	583×	body	320	valid
23.0ms	308×	body	160	valid

Details

sample75.0ms

simplify4.0ms

prune2.0ms

localize6.0ms

rewrite10.0ms

series9.0ms

simplify57.0ms

prune88.0ms

localize5.0ms

rewrite11.0ms

series8.0ms

simplify92.0ms

prune78.0ms

localize8.0ms

rewrite24.0ms

series31.0ms

simplify55.0ms

prune294.0ms

localize15.0ms

rewrite21.0ms

series14.0ms

simplify57.0ms

prune364.0ms

regimes33.0ms

bsearch13.0ms

simplify1.0ms

end0.0ms

sample1.7s

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