Details

sample76.0ms

Algorithm

intervals

Results

28.0ms	69×	body	1280	valid
14.0ms	270×	body	80	nan
10.0ms	36×	body	640	valid
9.0ms	128×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	10
2	10
1	9
0	6

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize14.0ms

Local error

Found 2 expressions with local error:

2.0b	(- (log (+ N 1)) (log N))
3.1b	(log (+ N 1))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
7×	`add-sqr-sqrt` `pow1`
5×	`log-pow` `add-cube-cbrt`
4×	`log-div` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 43

Calls

2 calls:

9.0ms	(- (log (+ N 1)) (log N))
19.0ms	(log (+ N 1))

series105.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(- (log (+ N 1)) (log N))
33.0ms	(log (+ N 1))

simplify1.3s

Counts

49 → 49

Iterations

Iter	Nodes
4	2935
3	1181
2	416
1	194
0	97

prune457.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1 N) N)
2.1b	(log (/ (+ 1 N) N))

rewrite22.0ms

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×	`div-exp` `rem-log-exp` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 62

Calls

2 calls:

16.0ms	(/ (+ 1 N) N)
4.0ms	(log (/ (+ 1 N) N))

series131.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (+ 1 N) N)
63.0ms	(log (/ (+ 1 N) N))

simplify2.7s

Counts

68 → 68

Iterations

Iter	Nodes
4	4923
3	1427
2	490
1	222
0	102

prune499.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ N (+ 1 N))
0.0b	(/ 1 (/ N (+ 1 N)))
2.1b	(log (/ 1 (/ N (+ 1 N))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
156×	`*-un-lft-identity`
106×	`add-sqr-sqrt` `add-cube-cbrt`
59×	`log-prod`
28×	`add-exp-log`
25×	`distribute-lft-out`
22×	`associate-/r*`
18×	`associate-/r/`
15×	`div-exp`
10×	`add-cbrt-cube` `div-inv`
8×	`flip3-+` `flip-+`
7×	`rem-log-exp`
6×	`pow1` `associate-/l*`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`log-pow` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`
1×	`log-div` `log-rec`

Counts

3 → 210

Calls

3 calls:

22.0ms	(/ N (+ 1 N))
20.0ms	(/ 1 (/ N (+ 1 N)))
12.0ms	(log (/ 1 (/ N (+ 1 N))))

series190.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ N (+ 1 N))
83.0ms	(/ 1 (/ N (+ 1 N)))
72.0ms	(log (/ 1 (/ N (+ 1 N))))

simplify10.3s

Counts

219 → 219

Iterations

Iter	Nodes
3	3842
2	1593
1	676
0	282

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ N (+ 1 N))
2.0b	(log (/ N (+ 1 N)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`log-prod`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `log-pow`

Counts

2 → 64

Calls

2 calls:

11.0ms	(/ N (+ 1 N))
7.0ms	(log (/ N (+ 1 N)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ N (+ 1 N))
49.0ms	(log (/ N (+ 1 N)))

simplify3.3s

Counts

70 → 70

Iterations

Iter	Nodes
4	4717
3	1415
2	487
1	236
0	113

prune471.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.1b

bsearch64.0ms

Steps

Iters	Range		Point
9	203.91479797368314	45385424.466692075	9504.960256628374

simplify5.0ms

Iterations

Iter	Nodes
2	22
1	22
0	18

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	1807×	body	1280	valid
1.0s	7889×	body	80	nan
455.0ms	4108×	body	80	valid
440.0ms	1221×	body	640	valid
166.0ms	579×	body	320	valid
43.0ms	285×	body	160	valid