Details

sample63.0ms

Algorithm

intervals

Results

18.0ms	56×	body	1280	valid
9.0ms	35×	body	640	valid
9.0ms	251×	body	80	nan
8.0ms	134×	body	80	valid
4.0ms	24×	body	320	valid
1.0ms	7×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize14.0ms

Local error

Found 2 expressions with local error:

3.4b	(- (log (+ N 1.0)) (log N))
3.5b	(log (+ N 1.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`pow1` `add-sqr-sqrt` `prod-diff`
14×	`add-cube-cbrt` `log-pow`
11×	`log-prod`
4×	`log-div` `fma-neg` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 65

Calls

2 calls:

17.0ms	(- (log (+ N 1.0)) (log N))
8.0ms	(log (+ N 1.0))

series230.0ms

Counts

2 → 6

Calls

2 calls:

159.0ms	(- (log (+ N 1.0)) (log N))
71.0ms	(log (+ N 1.0))

simplify3.7s

Counts

71 → 71

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	127	1052
1	277	855
2	668	705
3	2055	614
done	5000	592

prune198.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
3.3b	(log (/ (+ N 1.0) N))

rewrite53.0ms

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

Counts

2 → 64

Calls

2 calls:

36.0ms	(/ (+ N 1.0) N)
12.0ms	(log (/ (+ N 1.0) N))

series175.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (+ N 1.0) N)
111.0ms	(log (/ (+ N 1.0) N))

simplify4.2s

Counts

70 → 70

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	112	749
1	242	708
2	620	660
3	1531	647
4	4287	643
done	5000	612

prune231.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(log1p (/ 1.0 N))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`expm1-log1p-u`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log1p-udef` `*-un-lft-identity` `log1p-expm1` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(log1p (/ 1.0 N))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(log1p (/ 1.0 N))

simplify3.9s

Counts

14 → 14

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	39	126
1	85	120
2	196	102
3	430	102
4	991	100
5	2352	98
done	5000	92

prune57.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	7	4
done	7	4

end0.0ms

sample2.8s

Algorithm

intervals

Results

764.0ms	4092×	body	80	valid
755.0ms	1770×	body	1280	valid
399.0ms	1309×	body	640	valid
390.0ms	8028×	body	80	nan
90.0ms	563×	body	320	valid
26.0ms	266×	body	160	valid