Details

sample120.0ms

Algorithm

intervals

Results

40.0ms	57×	body	1280	valid
22.0ms	298×	body	80	nan
16.0ms	135×	body	80	valid
15.0ms	33×	body	640	valid
7.0ms	24×	body	320	valid
1.0ms	7×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	10
2	10
1	9
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize16.0ms

Local error

Found 2 expressions with local error:

2.4b	(log (+ N 1))
2.4b	(- (log (+ N 1)) (log N))

rewrite14.0ms

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:

4.0ms	(log (+ N 1))
10.0ms	(- (log (+ N 1)) (log N))

series132.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(log (+ N 1))
94.0ms	(- (log (+ N 1)) (log N))

simplify1.5s

Counts

49 → 49

Iterations

Iter	Nodes
4	2962
3	1200
2	416
1	194
0	97

prune297.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1 N) N)
2.8b	(log (/ (+ 1 N) N))

rewrite33.0ms

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:

25.0ms	(/ (+ 1 N) N)
7.0ms	(log (/ (+ 1 N) N))

series131.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (+ 1 N) N)
55.0ms	(log (/ (+ 1 N) N))

simplify2.5s

Counts

68 → 68

Iterations

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

prune402.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

2.4b	(log (+ 1 N))
2.4b	(- (log (+ 1 N)) (log N))

rewrite17.0ms

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:

3.0ms	(log (+ 1 N))
13.0ms	(- (log (+ 1 N)) (log N))

series89.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(log (+ 1 N))
67.0ms	(- (log (+ 1 N)) (log N))

simplify1.5s

Counts

49 → 49

Iterations

Iter	Nodes
4	2955
3	1194
2	412
1	194
0	97

prune315.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1 N) N)
0.0b	(log (log (/ (+ 1 N) N)))
0.7b	(exp (log (log (/ (+ 1 N) N))))
2.8b	(log (/ (+ 1 N) N))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

17.0ms	(/ (+ 1 N) N)
1.0ms	(log (log (/ (+ 1 N) N)))
3.0ms	(exp (log (log (/ (+ 1 N) N))))
8.0ms	(log (/ (+ 1 N) N))

series262.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (+ 1 N) N)
92.0ms	(log (log (/ (+ 1 N) N)))
44.0ms	(exp (log (log (/ (+ 1 N) N))))
72.0ms	(log (/ (+ 1 N) N))

simplify3.2s

Counts

105 → 105

Iterations

Iter	Nodes
4	6131
3	1970
2	711
1	313
0	151

prune711.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes59.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.0b

bsearch53.0ms

Steps

Iters	Range		Point
7	1213.337773267216	20389.206216359467	3983.563244138594

simplify5.0ms

Iterations

Iter	Nodes
2	22
1	22
0	18

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.0s	1752×	body	1280	valid
948.0ms	8131×	body	80	nan
492.0ms	4137×	body	80	valid
475.0ms	1218×	body	640	valid
150.0ms	606×	body	320	valid
44.0ms	287×	body	160	valid