Details

sample50.0ms

Algorithm

intervals

Results

15.0ms	64×	body	1280	valid
8.0ms	130×	body	80	valid
7.0ms	334×	body	80	nan
5.0ms	33×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	13×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4
done	10	4

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))

rewrite21.0ms

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:

4.0ms	(log (+ N 1.0))
14.0ms	(- (log (+ N 1.0)) (log N))

series136.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(log (+ N 1.0))
93.0ms	(- (log (+ N 1.0)) (log N))

simplify123.0ms

Counts

71 → 71

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	277	598
1	837	444
2	3748	347
3	5001	343
done	5001	343

prune129.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

20.0ms	(/ (+ N 1.0) N)
6.0ms	(log (/ (+ N 1.0) N))

series129.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (+ N 1.0) N)
83.0ms	(log (/ (+ N 1.0) N))

simplify104.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (99.0ms)

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

prune126.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (/ (+ N 1.0) N)))
3.5b	(log (/ (+ N 1.0) N))
3.5b	(log (/ (+ N 1.0) N))
3.5b	(log (/ (+ N 1.0) N))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
47×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
9×	`distribute-lft-out`
8×	`pow1`
6×	`rem-log-exp`
4×	`cbrt-prod` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `div-exp` `div-inv`
1×	`pow1/3`

Counts

4 → 101

Calls

4 calls:

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

series428.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (log (/ (+ N 1.0) N)))
81.0ms	(log (/ (+ N 1.0) N))
83.0ms	(log (/ (+ N 1.0) N))
83.0ms	(log (/ (+ N 1.0) N))

simplify130.0ms

Counts

113 → 113

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	343	849
1	1069	790
2	4683	729
3	5001	719
done	5001	719

prune285.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

64×	`log-prod`
60×	`*-un-lft-identity`
48×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log`
12×	`distribute-lft-out`
8×	`pow1` `rem-log-exp`
4×	`expm1-log1p-u` `log-div` `div-exp` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 116

Calls

4 calls:

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

series327.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(log (/ (+ N 1.0) N))
80.0ms	(log (/ (+ N 1.0) N))
80.0ms	(log (/ (+ N 1.0) N))
82.0ms	(log (/ (+ N 1.0) N))

simplify66.0ms

Counts

128 → 128

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	172	864
1	471	800
2	2042	760
3	5002	748
done	5002	748

prune378.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes35.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.6b

bsearch27.0ms

Steps

Iters	Range		Point
9	1640.3133596211642	526447839.8444867	9843.297794559383

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9
done	21	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

426.0ms	1749×	body	1280	valid
193.0ms	1316×	body	640	valid
175.0ms	8104×	body	80	nan
163.0ms	4045×	body	80	valid
57.0ms	594×	body	320	valid
17.0ms	296×	body	160	valid