Details

sample48.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 100%

Results

14.0ms	50×	body	1280	valid
10.0ms	54×	body	640	valid
6.0ms	116×	body	80	valid
4.0ms	30×	body	320	valid
0.0ms	6×	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

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: 33.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

3.9b	(- (log (+ N 1.0)) (log N))
4.1b	(log (+ N 1.0))

rewrite11.0ms

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:

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

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify58.0ms

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

prune73.0ms

Filtered

34 candidates to 47 candidates (-38.2%)

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: 0.1b

Counts

48 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (/ 1 N) (- 1.0 (/ 0.5 N)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity` `times-frac`
10×	`add-exp-log`
9×	`add-cube-cbrt`
6×	`associate-r` `add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `flip3--` `distribute-lft-in` `associate-*r/` `div-exp` `flip--` `cbrt-unprod` `difference-of-squares`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

13.0ms

(* (/ 1 N) (- 1.0 (/ 0.5 N)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* (/ 1 N) (- 1.0 (/ 0.5 N)))

simplify33.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	281	300
1	1192	246
2	5001	234

prune52.0ms

Filtered

33 candidates to 49 candidates (-48.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	49	2	51

Merged error: 0.1b

Counts

51 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- 1.0 (/ 0.5 N)) N)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
22×	`times-frac`
20×	`*-un-lft-identity`
12×	`add-cube-cbrt`
8×	`difference-of-squares`
6×	`associate-/l*`
4×	`distribute-lft-out--`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 42

Calls

1 calls:

8.0ms

(/ (- 1.0 (/ 0.5 N)) N)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (- 1.0 (/ 0.5 N)) N)

simplify83.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	202	311
1	592	288
2	2888	288
3	5001	287

prune51.0ms

Filtered

33 candidates to 45 candidates (-36.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.1b

Counts

47 → 2

localize4.0ms

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

prune71.0ms

Filtered

46 candidates to 66 candidates (-43.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	65	3	68

Merged error: 0.1b

Counts

68 → 3

regimes31.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 31.5b

bsearch28.0ms

Steps

Iters	Range		Point
9	8418.71528787905	3021256862.0466185	123639.61273695428

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 100%

Results

507.0ms	1775×	body	1280	valid
230.0ms	1232×	body	640	valid
204.0ms	4003×	body	80	valid
84.0ms	655×	body	320	valid
29.0ms	335×	body	160	valid

Details

sample48.0ms

simplify5.0ms

prune2.0ms

localize6.0ms

rewrite11.0ms

series10.0ms

simplify58.0ms

prune73.0ms

localize5.0ms

rewrite15.0ms

series6.0ms

simplify33.0ms

prune52.0ms

localize4.0ms

rewrite9.0ms

series5.0ms

simplify83.0ms

prune51.0ms

localize4.0ms

rewrite11.0ms

series8.0ms

simplify92.0ms

prune71.0ms

regimes31.0ms

bsearch28.0ms

simplify1.0ms

end0.0ms

sample1.2s

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