Details

sample84.0ms

Algorithm

intervals

Results

30.0ms	56×	body	1280	valid
11.0ms	46×	body	640	valid
8.0ms	132×	body	80	valid
8.0ms	211×	body	80	nan
2.0ms	15×	body	320	valid
1.0ms	7×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize16.0ms

Local error

Found 2 expressions with local error:

2.0b	(- (log (+ N 1.0)) (log N))
3.4b	(log (+ N 1.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `pow1` `prod-diff`
14×	`log-pow` `add-cube-cbrt`
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-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 67

Calls

2 calls:

29.0ms	(- (log (+ N 1.0)) (log N))
10.0ms	(log (+ N 1.0))

series238.0ms

Counts

2 → 6

Calls

2 calls:

164.0ms	(- (log (+ N 1.0)) (log N))
74.0ms	(log (+ N 1.0))

simplify5.1s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	2029
2	686
1	289
0	129

prune592.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ N 1.0) N)
2.1b	(log (/ (+ N 1.0) N))

rewrite48.0ms

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:

28.0ms	(/ (+ N 1.0) N)
12.0ms	(log (/ (+ N 1.0) N))

series225.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ (+ N 1.0) N)
154.0ms	(log (/ (+ N 1.0) N))

simplify3.8s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2263
2	630
1	254
0	114

prune639.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

2.1b	(log (+ (/ 1.0 N) 1))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

35.0ms

(log (+ (/ 1.0 N) 1))

series97.0ms

Counts

1 → 3

Calls

1 calls:

97.0ms

(log (+ (/ 1.0 N) 1))

simplify7.2s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
4	4798
3	1287
2	405
1	137
0	61

prune205.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune7.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
done	4
0	4

end0.0ms

sample3.0s

Algorithm

intervals

Results

807.0ms	1742×	body	1280	valid
791.0ms	4057×	body	80	valid
426.0ms	7974×	body	80	nan
384.0ms	1273×	body	640	valid
106.0ms	606×	body	320	valid
36.0ms	322×	body	160	valid