Details

sample51.0ms

Algorithm

intervals

Results

16.0ms	64×	body	1280	valid
8.0ms	334×	body	80	nan
6.0ms	130×	body	80	valid
5.0ms	33×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	13×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	10	7
done	10	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize7.0ms

Local error

Found 2 expressions with local error:

2.2b	(log (+ N 1.0))
3.5b	(- (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))

series192.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(log (+ N 1.0))
130.0ms	(- (log (+ N 1.0)) (log N))

simplify3.8s

Counts

71 → 71

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	127	1052
1	277	855
2	666	705
3	2050	614
done	5000	592

prune184.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
3.5b	(log (/ (+ N 1.0) N))

rewrite31.0ms

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:

20.0ms	(/ (+ N 1.0) N)
8.0ms	(log (/ (+ N 1.0) N))

series221.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(/ (+ N 1.0) N)
134.0ms	(log (/ (+ N 1.0) N))

simplify3.9s

Counts

70 → 70

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	112	749
1	242	708
2	620	660
3	1531	647
4	4287	643
done	5000	612

prune201.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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

Counts

1 → 11

Calls

1 calls:

1.0ms

(log1p (/ 1.0 N))

series101.0ms

Counts

1 → 3

Calls

1 calls:

101.0ms

(log1p (/ 1.0 N))

simplify4.0s

Counts

14 → 14

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	39	126
1	85	120
2	196	102
3	430	102
4	991	100
5	2352	98
done	5000	92

prune27.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (/ 0.3333333333333333 N) 0.5) N)
0.1b	(/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
34×	`times-frac`
22×	`add-cube-cbrt`
10×	`associate-/l*`
8×	`difference-of-squares`
6×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
4×	`associate-/l/` `distribute-lft-out` `distribute-lft-out--`
3×	`div-sub`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

2 → 80

Calls

2 calls:

72.0ms	(/ (- (/ 0.3333333333333333 N) 0.5) N)
209.0ms	(/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)

series159.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(/ (- (/ 0.3333333333333333 N) 0.5) N)
79.0ms	(/ (+ 1.0 (/ (- (/ 0.3333333333333333 N) 0.5) N)) N)

simplify1.8s

Counts

86 → 86

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	151	1337
1	349	1292
2	891	1191
3	2409	1182
done	5001	1170

prune198.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	7	4
done	7	4

end0.0ms

sample2.0s

Algorithm

intervals

Results

648.0ms	1749×	body	1280	valid
302.0ms	1316×	body	640	valid
280.0ms	8104×	body	80	nan
246.0ms	4045×	body	80	valid
88.0ms	594×	body	320	valid
31.0ms	296×	body	160	valid