Details

sample100.0ms

Algorithm

intervals

Results

27.0ms	53×	body	1280	valid
24.0ms	136×	body	80	valid
15.0ms	43×	body	640	valid
15.0ms	259×	body	80	nan
4.0ms	16×	body	320	valid
1.0ms	8×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize17.0ms

Local error

Found 1 expressions with local error:

2.1b	(- (log1p N) (log N))

rewrite12.0ms

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:

11.0ms

(- (log1p N) (log N))

series80.0ms

Counts

1 → 3

Calls

1 calls:

80.0ms

(- (log1p N) (log N))

simplify1.1s

Counts

40 → 40

Iterations

Iter	Nodes
done	2047
4	2047
3	1137
2	403
1	185
0	83

prune328.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1 N) N)
2.5b	(log (/ (+ 1 N) N))

rewrite30.0ms

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:

26.0ms	(/ (+ 1 N) N)
4.0ms	(log (/ (+ 1 N) N))

series105.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (+ 1 N) N)
49.0ms	(log (/ (+ 1 N) N))

simplify914.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	2001
3	2001
2	583
1	244
0	106

prune475.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))
0.1b	(/ (/ 1 N) N)
0.3b	(/ 1/3 N)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/l*`
14×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`div-exp`
6×	`pow1` `associate-/r*` `div-inv`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-div`
1×	`rec-exp` `1-exp` `fma-udef` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 118

Calls

3 calls:

0.0ms	(fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))
15.0ms	(/ (/ 1 N) N)
8.0ms	(/ 1/3 N)

series97.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(fma (/ (/ 1 N) N) (- (/ 1/3 N) 1/2) (/ 1 N))
33.0ms	(/ (/ 1 N) N)
38.0ms	(/ 1/3 N)

simplify1.1s

Counts

127 → 127

Iterations

Iter	Nodes
done	2000
3	2000
2	936
1	423
0	204

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

100% (0.0b remaining)

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

bsearch72.0ms

Steps

Iters	Range		Point
10	1.8230705747381016e-09	318690.85562629136	8386.707428118045

simplify4.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.5s	1773×	body	1280	valid
615.0ms	8060×	body	80	nan
478.0ms	1232×	body	640	valid
378.0ms	4056×	body	80	valid
226.0ms	634×	body	320	valid
46.0ms	305×	body	160	valid