Details

sample70.0ms

Algorithm

intervals

Results

19.0ms	51×	body	1280	valid
14.0ms	303×	body	80	nan
10.0ms	37×	body	640	valid
9.0ms	135×	body	80	valid
3.0ms	18×	body	320	valid
2.0ms	15×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize49.0ms

Local error

Found 2 expressions with local error:

4.2b	(log (+ N 1))
4.6b	(- (log (+ N 1)) (log N))

rewrite24.0ms

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:

6.0ms	(log (+ N 1))
17.0ms	(- (log (+ N 1)) (log N))

series103.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(log (+ N 1))
71.0ms	(- (log (+ N 1)) (log N))

simplify2.4s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
4	3864
3	1350
2	463
1	199
0	97

prune193.0ms

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)
4.8b	(log (/ (+ 1 N) N))

rewrite18.0ms

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:

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

series131.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (+ 1 N) N)
62.0ms	(log (/ (+ 1 N) N))

simplify1.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5300
3	2187
2	578
1	233
0	102

prune255.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (/ (+ 1 N) N))
0.1b	(sqrt (/ (+ 1 N) N))
4.8b	(log (sqrt (/ (+ 1 N) N)))
4.8b	(log (sqrt (/ (+ 1 N) N)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

64×	`sqrt-prod`
62×	`*-un-lft-identity`
50×	`times-frac`
44×	`add-sqr-sqrt`
38×	`log-prod` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`pow1`
6×	`add-exp-log` `log-pow`
4×	`rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `sqrt-div` `insert-posit16` `div-inv` `add-log-exp`
2×	`log-div` `rem-log-exp`

Counts

4 → 122

Calls

4 calls:

10.0ms	(sqrt (/ (+ 1 N) N))
10.0ms	(sqrt (/ (+ 1 N) N))
7.0ms	(log (sqrt (/ (+ 1 N) N)))
7.0ms	(log (sqrt (/ (+ 1 N) N)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt (/ (+ 1 N) N))
37.0ms	(sqrt (/ (+ 1 N) N))
114.0ms	(log (sqrt (/ (+ 1 N) N)))
126.0ms	(log (sqrt (/ (+ 1 N) N)))

simplify2.2s

Counts

134 → 134

Iterations

Iter	Nodes
done	5004
4	3033
3	1025
2	414
1	202
0	124

prune541.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ 1 N) N)
0.1b	(sqrt (/ (+ 1 N) N))
4.8b	(log (/ (+ 1 N) N))
4.8b	(log (sqrt (/ (+ 1 N) N)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
49×	`times-frac`
41×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
35×	`log-prod`
32×	`sqrt-prod`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`pow1`
6×	`add-cbrt-cube`
4×	`log-pow` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
3×	`associate-/r*` `rem-log-exp`
2×	`rem-sqrt-square` `log-div` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip-+`

Counts

4 → 123

Calls

4 calls:

13.0ms	(/ (+ 1 N) N)
7.0ms	(sqrt (/ (+ 1 N) N))
7.0ms	(log (/ (+ 1 N) N))
7.0ms	(log (sqrt (/ (+ 1 N) N)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (+ 1 N) N)
38.0ms	(sqrt (/ (+ 1 N) N))
59.0ms	(log (/ (+ 1 N) N))
97.0ms	(log (sqrt (/ (+ 1 N) N)))

simplify2.1s

Counts

135 → 135

Iterations

Iter	Nodes
done	5005
3	2838
2	848
1	363
0	186

prune635.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes37.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.1b

bsearch57.0ms

Steps

Iters	Range		Point
8	9038.04311539703	45027090.2690009	9233.861277203294

simplify6.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.1s	8149×	body	80	nan
968.0ms	1684×	body	1280	valid
483.0ms	1266×	body	640	valid
386.0ms	4127×	body	80	valid
183.0ms	626×	body	320	valid
46.0ms	297×	body	160	valid