Details

sample92.0ms

Algorithm

intervals

Results

30.0ms	64×	body	1280	valid
15.0ms	334×	body	80	nan
10.0ms	130×	body	80	valid
9.0ms	33×	body	640	valid
3.0ms	16×	body	320	valid
2.0ms	13×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 29.3b

localize7.0ms

Local error

Found 2 expressions with local error:

2.2b	(log (+ N 1.0))
3.5b	(- (log (+ N 1.0)) (log N))

rewrite21.0ms

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:

5.0ms	(log (+ N 1.0))
14.0ms	(- (log (+ N 1.0)) (log N))

series185.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(log (+ N 1.0))
127.0ms	(- (log (+ N 1.0)) (log N))

simplify2.9s

Counts

47 → 47

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	101	510
1	213	488
2	464	445
3	1067	443
4	2569	438
done	5000	426

prune130.0ms

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	(/ (+ N 1.0) N)
3.5b	(log (/ (+ N 1.0) N))

rewrite28.0ms

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:

19.0ms	(/ (+ N 1.0) N)
6.0ms	(log (/ (+ N 1.0) N))

series172.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (+ N 1.0) N)
118.0ms	(log (/ (+ N 1.0) N))

simplify3.5s

Counts

66 → 66

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	108	723
1	232	690
2	583	637
3	1417	624
4	3874	622
done	5001	622

prune155.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (log (/ (+ N 1.0) N)))
3.5b	(log (/ (+ N 1.0) N))
3.5b	(log (/ (+ N 1.0) N))
3.5b	(log (/ (+ N 1.0) N))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
47×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
9×	`distribute-lft-out`
8×	`pow1`
6×	`rem-log-exp`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `div-exp` `div-inv`
1×	`pow1/3`

Counts

4 → 93

Calls

4 calls:

3.0ms	(cbrt (log (/ (+ N 1.0) N)))
11.0ms	(log (/ (+ N 1.0) N))
11.0ms	(log (/ (+ N 1.0) N))
12.0ms	(log (/ (+ N 1.0) N))

series704.0ms

Counts

4 → 12

Calls

4 calls:

334.0ms	(cbrt (log (/ (+ N 1.0) N)))
117.0ms	(log (/ (+ N 1.0) N))
133.0ms	(log (/ (+ N 1.0) N))
119.0ms	(log (/ (+ N 1.0) N))

simplify1.6s

Counts

105 → 105

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	149	1470
1	335	1402
2	813	1301
3	2430	1211
done	5001	1184

prune373.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

3.5b	(log (/ (+ N 1.0) N))
3.5b	(log (/ (+ N 1.0) N))
3.5b	(log (/ (+ N 1.0) N))
3.5b	(log (/ (+ N 1.0) N))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

64×	`log-prod`
60×	`*-un-lft-identity`
48×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log`
12×	`distribute-lft-out`
8×	`pow1` `rem-log-exp`
4×	`log-div` `div-exp` `log-pow` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

4 → 108

Calls

4 calls:

12.0ms	(log (/ (+ N 1.0) N))
13.0ms	(log (/ (+ N 1.0) N))
12.0ms	(log (/ (+ N 1.0) N))
11.0ms	(log (/ (+ N 1.0) N))

series480.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(log (/ (+ N 1.0) N))
125.0ms	(log (/ (+ N 1.0) N))
138.0ms	(log (/ (+ N 1.0) N))
123.0ms	(log (/ (+ N 1.0) N))

simplify3.5s

Counts

120 → 120

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	84	1524
1	168	1452
2	350	1336
3	731	1284
4	1617	1276
5	3556	1252
done	5001	1236

prune545.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes44.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.6b

bsearch34.0ms

Steps

Iters	Range		Point
9	1640.3133596211642	526447839.8444867	9843.297794559383

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	23
1	19	23
done	19	23

end0.0ms

sample2.1s

Algorithm

intervals

Results

672.0ms	1749×	body	1280	valid
314.0ms	1316×	body	640	valid
303.0ms	8104×	body	80	nan
264.0ms	4045×	body	80	valid
94.0ms	594×	body	320	valid
29.0ms	296×	body	160	valid