Details

sample50.0ms

Algorithm

intervals

Results

14.0ms	49×	body	1280	valid
9.0ms	276×	body	80	nan
7.0ms	140×	body	80	valid
7.0ms	41×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	8×	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: 27.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

2.3b	(- (log (+ N 1.0)) (log N))
2.4b	(log (+ N 1.0))

rewrite13.0ms

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`
4×	`log-div` `fma-neg` `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` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 65

Calls

2 calls:

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

series140.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(- (log (+ N 1.0)) (log N))
46.0ms	(log (+ N 1.0))

simplify125.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	277	598
1	837	444
2	3748	347
3	5001	345

prune128.0ms

Filtered

71 candidates to 43 candidates (60.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	3	72

Merged error: 0.1b

Counts

72 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
2.3b	(log (/ (+ N 1.0) N))

rewrite12.0ms

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

Counts

2 → 64

Calls

2 calls:

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

series135.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (+ N 1.0) N)
84.0ms	(log (/ (+ N 1.0) N))

simplify105.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	243	383
1	808	358
2	3663	347
3	5001	344

prune98.0ms

Filtered

70 candidates to 50 candidates (71.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Merged error: 0.1b

Counts

73 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

2.3b	(- (pow (log (+ N 1.0)) 3) (pow (log N) 3))
2.4b	(log (+ N 1.0))
2.4b	(log (+ N 1.0))
2.4b	(log (+ N 1.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

196×	`prod-diff`
140×	`unpow-prod-down` `cube-prod`
118×	`add-sqr-sqrt` `*-un-lft-identity`
94×	`add-cube-cbrt`
81×	`pow1`
77×	`log-pow`
37×	`sqr-pow`
29×	`cube-mult` `unpow3`
17×	`distribute-lft-out--`
16×	`difference-of-squares`
14×	`fma-neg`
12×	`log-prod`
7×	`add-exp-log`
6×	`log-div` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 309

Calls

4 calls:

18.0ms	(- (pow (log (+ N 1.0)) 3) (pow (log N) 3))
3.0ms	(log (+ N 1.0))
3.0ms	(log (+ N 1.0))
3.0ms	(log (+ N 1.0))

series326.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(- (pow (log (+ N 1.0)) 3) (pow (log N) 3))
46.0ms	(log (+ N 1.0))
40.0ms	(log (+ N 1.0))
47.0ms	(log (+ N 1.0))

simplify130.0ms

Algorithm

egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	789	4321
1	2843	3063
2	5001	3061

prune347.0ms

Filtered

321 candidates to 84 candidates (26.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	319	2	321
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	320	4	324

Merged error: 0.1b

Counts

324 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

2.4b	(log (+ N 1.0))
2.4b	(log (+ N 1.0))
2.4b	(log (+ N 1.0))
28.4b	(fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`log-prod`
7×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
6×	`log-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

3.0ms	(log (+ N 1.0))
3.0ms	(log (+ N 1.0))
3.0ms	(log (+ N 1.0))
1.0ms	(fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))

series503.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(log (+ N 1.0))
42.0ms	(log (+ N 1.0))
47.0ms	(log (+ N 1.0))
366.0ms	(fma (- (pow (log N) 3)) (pow (log N) 3) (pow (log (+ N 1.0)) 6))

simplify72.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	675	712
1	3136	655
2	5001	655

prune349.0ms

Filtered

73 candidates to 61 candidates (83.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	73	4	77

Merged error: 0.1b

Counts

77 → 4

regimes38.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.5b

bsearch22.0ms

Steps

Iters	Range		Point
6	2408.9151023461654	14028.172733867412	8996.361155281744

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

492.0ms	1720×	body	1280	valid
258.0ms	8187×	body	80	nan
245.0ms	1312×	body	640	valid
208.0ms	4055×	body	80	valid
79.0ms	625×	body	320	valid
22.0ms	288×	body	160	valid