Details

sample88.0ms

Algorithm

intervals

Results

27.0ms	51×	body	1280	valid
15.0ms	229×	body	80	nan
15.0ms	39×	body	640	valid
14.0ms	143×	body	80	valid
4.0ms	12×	body	320	valid
2.0ms	11×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.7b

localize18.0ms

Local error

Found 2 expressions with local error:

2.5b	(- (log (+ N 1)) (log N))
2.8b	(log (+ N 1))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

30.0ms	(- (log (+ N 1)) (log N))
5.0ms	(log (+ N 1))

series133.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(- (log (+ N 1)) (log N))
42.0ms	(log (+ N 1))

simplify2.9s

Counts

52 → 52

Iterations

Iter	Nodes
done	5002
4	4701
3	1433
2	464
1	203
0	101

prune194.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1 N) N)
2.6b	(log (/ (+ 1 N) N))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 76

Calls

2 calls:

23.0ms	(/ (+ 1 N) N)
16.0ms	(log (/ (+ 1 N) N))

series135.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (+ 1 N) N)
76.0ms	(log (/ (+ 1 N) N))

simplify1.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	5014
3	2327
2	606
1	263
0	120

prune301.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ N (+ 1 N))
2.5b	(log (/ N (+ 1 N)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 75

Calls

2 calls:

11.0ms	(/ N (+ 1 N))
19.0ms	(log (/ N (+ 1 N)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ N (+ 1 N))
75.0ms	(log (/ N (+ 1 N)))

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5004
3	2531
2	622
1	263
0	124

prune343.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ N (+ 1 N))
0.0b	(/ N (+ 1 N))
2.6b	(log (sqrt (/ N (+ 1 N))))
2.6b	(log (sqrt (/ N (+ 1 N))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
48×	`times-frac`
44×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`log-prod`
36×	`sqrt-prod`
20×	`log-div` `sqrt-div`
16×	`associate-/r*` `distribute-lft-out`
12×	`associate-/l*`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube` `associate-/r/`
6×	`log-pow`
4×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `insert-posit16` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `sqrt-pow1` `pow1/2` `div-exp` `rem-log-exp`

Counts

4 → 154

Calls

4 calls:

21.0ms	(/ N (+ 1 N))
22.0ms	(/ N (+ 1 N))
30.0ms	(log (sqrt (/ N (+ 1 N))))
28.0ms	(log (sqrt (/ N (+ 1 N))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ N (+ 1 N))
40.0ms	(/ N (+ 1 N))
108.0ms	(log (sqrt (/ N (+ 1 N))))
113.0ms	(log (sqrt (/ N (+ 1 N))))

simplify1.8s

Counts

166 → 166

Iterations

Iter	Nodes
done	5427
3	2354
2	636
1	292
0	175

prune821.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

regimes39.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 28.7b

bsearch41.0ms

Steps

Iters	Range		Point
7	315.1021581913647	12461.173664998358	8906.11117804379

simplify6.0ms

Iterations

Iter	Nodes
done	38
2	38
1	30
0	22

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	7961×	body	80	nan
1.0s	1684×	body	1280	valid
507.0ms	4163×	body	80	valid
489.0ms	1231×	body	640	valid
161.0ms	610×	body	320	valid
63.0ms	312×	body	160	valid