Details

sample82.0ms

Algorithm

intervals

Results

20.0ms	44×	body	1280	valid
14.0ms	47×	body	640	valid
12.0ms	262×	body	80	nan
11.0ms	140×	body	80	valid
3.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize16.0ms

Local error

Found 2 expressions with local error:

1.8b	(- (log (+ N 1.0)) (log N))
4.8b	(log (+ N 1.0))

rewrite21.0ms

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:

13.0ms	(- (log (+ N 1.0)) (log N))
7.0ms	(log (+ N 1.0))

series188.0ms

Counts

2 → 6

Calls

2 calls:

140.0ms	(- (log (+ N 1.0)) (log N))
48.0ms	(log (+ N 1.0))

simplify1.5s

Counts

47 → 47

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	101	510
1	213	488
2	643	445
3	2849	443
done	5001	438

prune163.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

1.6b	(log (/ (+ N 1.0) N))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod`
15×	`*-un-lft-identity`
12×	`times-frac`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-exp-log`
3×	`distribute-lft-out`
2×	`pow1` `rem-log-exp`
1×	`log-div` `div-exp` `log-pow` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

7.0ms

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

series115.0ms

Counts

1 → 3

Calls

1 calls:

115.0ms

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

simplify1.4s

Counts

30 → 30

Iterations

Useful iterations: 3 (869.0ms)

Iter	Nodes	Cost
0	84	381
1	169	363
2	452	334
3	1875	321
done	5001	321

prune95.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

1.7b	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
4.8b	(log (+ N 1.0))
4.8b	(log (+ N 1.0))
4.8b	(log (+ N 1.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

26×	`log-prod`
21×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate--l+`
7×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in`
6×	`log-div` `associate--r+` `add-log-exp`
5×	`distribute-lft-out`
4×	`add-cbrt-cube`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

17.0ms	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
5.0ms	(log (+ N 1.0))
9.0ms	(log (+ N 1.0))
10.0ms	(log (+ N 1.0))

series441.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
76.0ms	(log (+ N 1.0))
46.0ms	(log (+ N 1.0))
67.0ms	(log (+ N 1.0))

simplify905.0ms

Counts

84 → 84

Iterations

Useful iterations: done (902.0ms)

Iter	Nodes	Cost
0	155	1223
1	388	1158
2	1535	1025
done	5001	1007

prune268.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

4.8b	(log (+ N 1.0))
4.8b	(log (+ N 1.0))
4.8b	(log (+ N 1.0))
4.8b	(log (+ N 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod` `*-un-lft-identity`
8×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
4×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

5.0ms	(log (+ N 1.0))
5.0ms	(log (+ N 1.0))
7.0ms	(log (+ N 1.0))
12.0ms	(log (+ N 1.0))

series232.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(log (+ N 1.0))
59.0ms	(log (+ N 1.0))
47.0ms	(log (+ N 1.0))
57.0ms	(log (+ N 1.0))

simplify857.0ms

Counts

72 → 72

Iterations

Useful iterations: done (853.0ms)

Iter	Nodes	Cost
0	59	712
1	123	684
2	381	604
3	1304	604
done	5001	584

prune357.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes49.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.2b

bsearch52.0ms

Steps

Iters	Range		Point
9	388.37859194422595	403275480.5297131	11278.661948217234

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	25
1	21	25
done	21	25

end0.0ms

sample2.4s

Algorithm

intervals

Results

727.0ms	1777×	body	1280	valid
491.0ms	8084×	body	80	nan
404.0ms	1242×	body	640	valid
266.0ms	4097×	body	80	valid
93.0ms	591×	body	320	valid
29.0ms	293×	body	160	valid