Details

sample48.0ms

Algorithm

intervals

Results

14.0ms	56×	body	1280	valid
8.0ms	233×	body	80	nan
7.0ms	43×	body	640	valid
6.0ms	131×	body	80	valid
2.0ms	20×	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

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize7.0ms

Local error

Found 2 expressions with local error:

1.9b	(log (+ N 1.0))
2.3b	(- (log (+ N 1.0)) (log N))

rewrite23.0ms

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:

5.0ms	(log (+ N 1.0))
15.0ms	(- (log (+ N 1.0)) (log N))

series126.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(log (+ N 1.0))
86.0ms	(- (log (+ N 1.0)) (log N))

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	343

prune129.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
2.2b	(log (/ (+ N 1.0) N))

rewrite28.0ms

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:

19.0ms	(/ (+ N 1.0) N)
6.0ms	(log (/ (+ N 1.0) N))

series119.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ (+ N 1.0) N)
75.0ms	(log (/ (+ N 1.0) N))

simplify103.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (97.0ms)

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

prune123.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.4b	(/ 0.3333333333333333 (pow N 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod` `associate-/r*`
6×	`add-exp-log`
4×	`cube-mult` `unpow3` `sqr-pow`
3×	`div-exp` `add-cbrt-cube` `associate-/l*`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 67

Calls

1 calls:

11.0ms

(/ 0.3333333333333333 (pow N 3))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(/ 0.3333333333333333 (pow N 3))

simplify30.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	179	293
1	806	285
2	5001	285

prune114.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.6b

bsearch30.0ms

Steps

Iters	Range		Point
10	8.950540206577903e-05	611368.3395468491	7877.19975446712

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

433.0ms	1764×	body	1280	valid
195.0ms	1262×	body	640	valid
189.0ms	8007×	body	80	nan
176.0ms	4051×	body	80	valid
65.0ms	630×	body	320	valid
19.0ms	293×	body	160	valid