Details

sample129.0ms

Algorithm

intervals

Results

56.0ms	69×	body	1280	valid
21.0ms	270×	body	80	nan
16.0ms	36×	body	640	valid
15.0ms	128×	body	80	valid
4.0ms	15×	body	320	valid
2.0ms	8×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
3	11
2	11
1	9
0	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize16.0ms

Local error

Found 1 expressions with local error:

2.0b	(- (log1p N) (log N))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
5×	`pow1`
4×	`log-pow`
3×	`log-prod` `fma-neg` `associate--r+`
2×	`diff-log` `distribute-lft-out--` `add-log-exp`
1×	`expm1-log1p-u` `log1p-udef` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`

Counts

1 → 37

Calls

1 calls:

6.0ms

(- (log1p N) (log N))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(- (log1p N) (log N))

simplify1.4s

Counts

40 → 40

Iterations

Iter	Nodes
4	2678
3	962
2	372
1	184
0	83

prune331.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1 N) N)
2.1b	(log (/ (+ 1 N) N))

rewrite20.0ms

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×	`expm1-log1p-u` `div-exp` `rem-log-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 66

Calls

2 calls:

16.0ms	(/ (+ 1 N) N)
4.0ms	(log (/ (+ 1 N) N))

series122.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (+ 1 N) N)
46.0ms	(log (/ (+ 1 N) N))

simplify4.5s

Counts

72 → 72

Iterations

Iter	Nodes
4	5667
3	1564
2	510
1	231
0	106

prune546.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ N (+ 1 N))
0.0b	(/ 1 (/ N (+ 1 N)))
2.1b	(log (/ 1 (/ N (+ 1 N))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
156×	`*-un-lft-identity`
106×	`add-sqr-sqrt` `add-cube-cbrt`
59×	`log-prod`
28×	`add-exp-log`
25×	`distribute-lft-out`
22×	`associate-/r*`
18×	`associate-/r/`
15×	`div-exp`
10×	`add-cbrt-cube` `div-inv`
8×	`flip3-+` `flip-+`
7×	`rem-log-exp`
6×	`pow1` `associate-/l*`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`
1×	`log-div` `log-rec`

Counts

3 → 216

Calls

3 calls:

13.0ms	(/ N (+ 1 N))
18.0ms	(/ 1 (/ N (+ 1 N)))
11.0ms	(log (/ 1 (/ N (+ 1 N))))

series173.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ N (+ 1 N))
69.0ms	(/ 1 (/ N (+ 1 N)))
68.0ms	(log (/ 1 (/ N (+ 1 N))))

simplify9.1s

Counts

225 → 225

Iterations

Iter	Nodes
3	3980
2	1689
1	691
0	288

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ N (+ 1 N))
2.0b	(log (/ N (+ 1 N)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`log-prod`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1` `associate-/l*`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `log-pow`

Counts

2 → 68

Calls

2 calls:

15.0ms	(/ N (+ 1 N))
9.0ms	(log (/ N (+ 1 N)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ N (+ 1 N))
49.0ms	(log (/ N (+ 1 N)))

simplify7.9s

Counts

74 → 74

Iterations

Iter	Nodes
4	4514
3	1497
2	530
1	248
0	117

prune531.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.1b

bsearch41.0ms

Steps

Iters	Range		Point
9	203.91479797368314	45385424.466692075	9504.960256628374

simplify6.0ms

Iterations

Iter	Nodes
2	18
1	18
0	17

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.0s	1807×	body	1280	valid
919.0ms	4108×	body	80	valid
512.0ms	7889×	body	80	nan
486.0ms	1221×	body	640	valid
139.0ms	579×	body	320	valid
47.0ms	285×	body	160	valid