Details

sample94.0ms

Algorithm

intervals

Results

28.0ms	49×	body	1280	valid
16.0ms	245×	body	80	nan
16.0ms	44×	body	640	valid
13.0ms	130×	body	80	valid
6.0ms	22×	body	320	valid
2.0ms	11×	body	160	valid

simplify13.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize13.0ms

Local error

Found 2 expressions with local error:

3.3b	(- (log (+ N 1)) (log N))
2.3b	(log (+ N 1))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
7×	`add-sqr-sqrt` `pow1`
5×	`log-pow` `add-cube-cbrt`
4×	`log-div` `associate--l+` `distribute-lft-out--`
3×	`add-exp-log` `associate--r+`
2×	`associate--l-` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 43

Calls

2 calls:

Slowest

16.0ms	(log (+ N 1))
9.0ms	(- (log (+ N 1)) (log N))

series93.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

68.0ms	(- (log (+ N 1)) (log N))
25.0ms	(log (+ N 1))

simplify1.6s

Counts: 49 → 49

prune405.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

3.2b	(log (/ (+ N 1) N))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod`
15×	`*-un-lft-identity`
12×	`times-frac`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-exp-log`
3×	`distribute-lft-out`
2×	`pow1` `rem-log-exp`
1×	`log-div` `add-cbrt-cube` `div-exp` `log-pow` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

Slowest

8.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

72.0ms

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

simplify1.2s

Counts: 31 → 31

prune221.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

3.3b	(- (log (+ N 1)) (log N))
3.3b	(- (log (+ N 1)) (log N))
3.3b	(- (log (+ N 1)) (log N))
2.3b	(log (+ N 1))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
25×	`log-prod`
17×	`add-sqr-sqrt` `pow1`
13×	`log-pow`
12×	`associate--l+` `distribute-lft-out--`
11×	`add-cube-cbrt`
9×	`associate--r+`
8×	`log-div`
6×	`associate--l-`
5×	`add-exp-log`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`
1×	`rem-log-exp`

Counts

4 → 97

Calls

4 calls:

Slowest

12.0ms	(- (log (+ N 1)) (log N))
9.0ms	(- (log (+ N 1)) (log N))
9.0ms	(- (log (+ N 1)) (log N))
7.0ms	(log (+ N 1))

series229.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(- (log (+ N 1)) (log N))
63.0ms	(- (log (+ N 1)) (log N))
57.0ms	(- (log (+ N 1)) (log N))
31.0ms	(log (+ N 1))

simplify1.1s

Counts: 109 → 109

prune915.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

13.6b	(- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))
0.3b	(* 1/3 (/ 1 N))
0.3b	(/ 1/2 (* N N))
0.1b	(/ (* 1/3 (/ 1 N)) (* N N))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
35×	`add-cbrt-cube`
23×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`div-exp` `prod-exp`
15×	`times-frac`
14×	`add-cube-cbrt`
13×	`associate-r`
11×	`cbrt-undiv`
10×	`cbrt-unprod`
9×	`add-log-exp`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`frac-sub` `insert-posit16` `div-inv` `associate-/l*`
3×	`rec-exp` `diff-log` `1-exp` `associate-l` `unswap-sqr`
2×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `associate-r/` `un-div-inv` `flip--` `associate--r+` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `associate--r-` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

Slowest

87.0ms	(- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))
16.0ms	(/ (* 1/3 (/ 1 N)) (* N N))
9.0ms	(* 1/3 (/ 1 N))
7.0ms	(/ 1/2 (* N N))

series202.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

74.0ms	(/ (* 1/3 (/ 1 N)) (* N N))
50.0ms	(/ 1/2 (* N N))
43.0ms	(- (/ (* 1/3 (/ 1 N)) (* N N)) (- (/ 1/2 (* N N)) (/ 1 N)))
35.0ms	(* 1/3 (/ 1 N))

simplify824.0ms

Counts: 127 → 127

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes88.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.8b

bsearch54.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.2s	1813×	body	1280	valid
565.0ms	601×	body	320	valid
519.0ms	7827×	body	80	nan
469.0ms	1265×	body	640	valid
372.0ms	4006×	body	80	valid
47.0ms	315×	body	160	valid