Details

sample46.0ms

Algorithm

intervals

Results

13.0ms	54×	body	1280	valid
6.0ms	269×	body	80	nan
6.0ms	143×	body	80	valid
6.0ms	39×	body	640	valid
4.0ms	9×	body	160	valid
1.0ms	11×	body	320	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize7.0ms

Local error

Found 2 expressions with local error:

2.0b	(- (log (+ N 1.0)) (log N))
3.1b	(log (+ N 1.0))

rewrite10.0ms

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:

6.0ms	(- (log (+ N 1.0)) (log N))
2.0ms	(log (+ N 1.0))

series134.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(- (log (+ N 1.0)) (log N))
41.0ms	(log (+ N 1.0))

simplify906.0ms

Counts

47 → 47

Iterations

Useful iterations: 3 (179.0ms)

Iter	Nodes	Cost
0	101	510
1	213	488
2	555	445
3	2071	443
done	5000	443

prune108.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
2.0b	(log (/ (+ N 1.0) N))

rewrite13.0ms

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

Counts

2 → 60

Calls

2 calls:

8.0ms	(/ (+ N 1.0) N)
3.0ms	(log (/ (+ N 1.0) N))

series134.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (+ N 1.0) N)
83.0ms	(log (/ (+ N 1.0) N))

simplify1.7s

Counts

66 → 66

Iterations

Useful iterations: 3 (291.0ms)

Iter	Nodes	Cost
0	108	723
1	230	690
2	704	637
3	3269	624
done	5000	624

prune120.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ (+ N 1.0) (sqrt N))
1.9b	(+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
48×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
34×	`log-prod`
30×	`sqrt-prod`
28×	`associate-+r+`
19×	`distribute-lft-out`
7×	`pow1`
6×	`associate-+l+` `distribute-neg-in` `associate-/r*`
5×	`log-pow`
4×	`add-exp-log` `distribute-rgt-neg-in` `add-cbrt-cube` `associate-/l*`
3×	`add-log-exp`
2×	`flip3-+` `sum-log` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `associate-+l-` `associate-+r-` `log-div` `frac-2neg` `div-exp` `neg-log` `clear-num`

Counts

2 → 102

Calls

2 calls:

9.0ms	(/ (+ N 1.0) (sqrt N))
23.0ms	(+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))

series237.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (+ N 1.0) (sqrt N))
186.0ms	(+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))

simplify539.0ms

Counts

108 → 108

Iterations

Useful iterations: done (531.0ms)

Iter	Nodes	Cost
0	181	1493
1	416	1397
2	1332	1254
done	5000	1148

prune260.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
3.1b	(log (+ N 1.0))
3.1b	(log (+ N 1.0))
3.1b	(log (+ N 1.0))

rewrite21.0ms

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:

9.0ms	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
3.0ms	(log (+ N 1.0))
3.0ms	(log (+ N 1.0))
3.0ms	(log (+ N 1.0))

series313.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))
46.0ms	(log (+ N 1.0))
52.0ms	(log (+ N 1.0))
75.0ms	(log (+ N 1.0))

simplify433.0ms

Counts

84 → 84

Iterations

Useful iterations: done (430.0ms)

Iter	Nodes	Cost
0	155	1223
1	363	1157
2	1171	1025
done	5000	1003

prune246.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes38.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.5b

bsearch33.0ms

Steps

Iters	Range		Point
6	2942.2625356967415	22276.40736340321	4688.133507746426

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	31
1	25	31
done	25	31

end0.0ms

sample1.3s

Algorithm

intervals

Results

439.0ms	1743×	body	1280	valid
198.0ms	1250×	body	640	valid
196.0ms	8101×	body	80	nan
173.0ms	4055×	body	80	valid
68.0ms	608×	body	320	valid
22.0ms	344×	body	160	valid