Details

sample85.0ms

Algorithm

intervals

Results

25.0ms	58×	body	1280	valid
13.0ms	291×	body	80	nan
12.0ms	42×	body	640	valid
10.0ms	128×	body	80	valid
4.0ms	21×	body	320	valid
1.0ms	7×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize40.0ms

Local error

Found 2 expressions with local error:

2.2b	(- (log (+ N 1.0)) (log N))
3.2b	(log (+ N 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `pow1` `prod-diff`
14×	`log-pow` `add-cube-cbrt`
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:

13.0ms	(- (log (+ N 1.0)) (log N))
4.0ms	(log (+ N 1.0))

series205.0ms

Counts

2 → 6

Calls

2 calls:

149.0ms	(- (log (+ N 1.0)) (log N))
56.0ms	(log (+ N 1.0))

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1090
1	287
0	127

prune236.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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

Counts

2 → 64

Calls

2 calls:

18.0ms	(/ (+ N 1.0) N)
10.0ms	(log (/ (+ N 1.0) N))

series185.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (+ N 1.0) N)
116.0ms	(log (/ (+ N 1.0) N))

simplify981.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1063
1	252
0	112

prune249.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

2.3b	(log (+ (/ 1.0 N) 1))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

20.0ms

(log (+ (/ 1.0 N) 1))

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(log (+ (/ 1.0 N) 1))

simplify682.0ms

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
2	591
1	148
0	60

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(log1p (/ 1.0 N))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`expm1-log1p-u`
1×	`add-sqr-sqrt` `pow1` `log1p-udef` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

(log1p (/ 1.0 N))

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

(log1p (/ 1.0 N))

simplify952.0ms

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
3	1140
2	277
1	84
0	39

prune65.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	4
0	4

end0.0ms

sample2.7s

Algorithm

intervals

Results

862.0ms	1801×	body	1280	valid
445.0ms	8152×	body	80	nan
421.0ms	4028×	body	80	valid
384.0ms	1252×	body	640	valid
112.0ms	629×	body	320	valid
31.0ms	290×	body	160	valid