Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	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

prune2.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`pow1` `add-sqr-sqrt` `prod-diff`
14×	`add-cube-cbrt` `log-pow`
11×	`log-prod`
6×	`add-log-exp`
4×	`log-div` `fma-neg` `diff-log` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`sub-neg` `flip3--` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 68

Calls

2 calls:

3.0ms	(log (+ N 1.0))
8.0ms	(- (log (+ N 1.0)) (log N))

series142.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(log (+ N 1.0))
99.0ms	(- (log (+ N 1.0)) (log N))

simplify123.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	276	601
1	839	450
2	3608	355
3	5001	351

prune107.0ms

Filtered

74 candidates to 43 candidates (58.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	3	75

Merged error: 0.0b

Counts

75 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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×	`expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `log-pow`

Counts

2 → 78

Calls

2 calls:

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

series132.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (+ N 1.0) N)
85.0ms	(log (/ (+ N 1.0) N))

simplify116.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	275	462
1	907	429
2	3899	419
3	5001	417

prune109.0ms

Filtered

84 candidates to 59 candidates (70.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	84	3	87

Merged error: 0.0b

Counts

87 → 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))

rewrite33.0ms

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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `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 → 179

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))

series476.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))
84.0ms	(log (/ (+ N 1.0) N))
83.0ms	(log (/ (+ N 1.0) N))
91.0ms	(log (/ (+ N 1.0) N))

simplify65.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	554	1611
1	2061	1468
2	5002	1328

prune353.0ms

Filtered

191 candidates to 126 candidates (66.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	191	3	194

Merged error: 0.0b

Counts

194 → 3

localize12.0ms

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))

rewrite35.0ms

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×	`expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 172

Calls

4 calls:

7.0ms	(log (/ (+ N 1.0) N))
9.0ms	(log (/ (+ N 1.0) N))
7.0ms	(log (/ (+ N 1.0) N))
6.0ms	(log (/ (+ N 1.0) N))

series340.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(log (/ (+ N 1.0) N))
84.0ms	(log (/ (+ N 1.0) N))
86.0ms	(log (/ (+ N 1.0) N))
86.0ms	(log (/ (+ N 1.0) N))

simplify90.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	236	1176
1	668	1084
2	2741	1056
3	5002	1040

prune471.0ms

Filtered

184 candidates to 128 candidates (69.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	184	3	187

Merged error: 0.0b

Counts

187 → 3

regimes20.0ms

Accuracy

100% (0.0b remaining)

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

bsearch30.0ms

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	23	10
1	23	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

421.0ms	1722×	body	1280	valid
188.0ms	1255×	body	640	valid
178.0ms	7818×	body	80	nan
166.0ms	4106×	body	80	valid
58.0ms	598×	body	320	valid
19.0ms	319×	body	160	valid