Details

sample103.0ms

Algorithm

intervals

Results

34.0ms	55×	body	1280	valid
17.0ms	251×	body	80	nan
17.0ms	39×	body	640	valid
14.0ms	135×	body	80	valid
5.0ms	17×	body	320	valid
2.0ms	10×	body	160	valid

simplify16.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

16.0ms

(- (log (+ N 1)) (log N))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize11.0ms

Local error

Found 2 expressions with local error:

2.2b	(log (+ N 1))
1.8b	(- (log (+ N 1)) (log N))

rewrite36.0ms

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

31.0ms	(- (log (+ N 1)) (log N))
4.0ms	(log (+ N 1))

series86.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

57.0ms	(- (log (+ N 1)) (log N))
28.0ms	(log (+ N 1))

simplify1.6s

Counts

29 → 49

Calls

29 calls:

Slowest

362.0ms	(- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N))))
229.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
225.0ms	(- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2)))
192.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
134.0ms	(- N (+ (log N) (* 1/2 (pow N 2))))

prune416.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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

Counts

2 → 62

Calls

2 calls:

Slowest

31.0ms	(/ (+ N 1) N)
7.0ms	(log (/ (+ N 1) N))

series112.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

61.0ms	(/ (+ N 1) N)
50.0ms	(log (/ (+ N 1) N))

simplify1.9s

Counts

57 → 68

Calls

57 calls:

Slowest

432.0ms	(/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N))
194.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
187.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
156.0ms	(log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))))
128.0ms	(- N (+ (log N) (* 1/2 (pow N 2))))

prune516.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

Slowest

9.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

40.0ms

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

simplify1.2s

Counts

11 → 20

Calls

11 calls:

Slowest

434.0ms	(log (+ (pow (/ 1 N) 3) (pow 1 3)))
212.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
191.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
134.0ms	(log (- (* (/ 1 N) (/ 1 N)) (* 1 1)))
130.0ms	(- N (+ (log N) (* 1/2 (pow N 2))))

prune630.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

2.0b	(log (+ (/ 1 N) 1))
0.7b	(exp (log (log (+ (/ 1 N) 1))))
0.0b	(log (log (+ (/ 1 N) 1)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`log-prod`
10×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`add-exp-log` `log-pow`
4×	`exp-prod` `exp-sum`
3×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`log-div` `rem-log-exp` `distribute-lft-out`
1×	`flip3-+` `flip-+` `div-inv` `rem-exp-log`

Counts

3 → 48

Calls

3 calls:

Slowest

7.0ms	(log (+ (/ 1 N) 1))
3.0ms	(exp (log (log (+ (/ 1 N) 1))))
1.0ms	(log (log (+ (/ 1 N) 1)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

40.0ms	(log (log (+ (/ 1 N) 1)))
33.0ms	(log (+ (/ 1 N) 1))
29.0ms	(exp (log (log (+ (/ 1 N) 1))))

simplify2.7s

Counts

31 → 57

Calls

31 calls:

Slowest

381.0ms	(- (+ (* 5/24 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (log -1))) (* 1/2 (/ 1 N)))
376.0ms	(log (+ (pow (/ 1 N) 3) (pow 1 3)))
240.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
239.0ms	(- (+ (* 5/24 (/ 1 (pow N 2))) (log (/ 1 N))) (* 1/2 (/ 1 N)))
200.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))

prune374.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.3b

bsearch44.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.0s	1780×	body	1280	valid
641.0ms	7972×	body	80	nan
514.0ms	1247×	body	640	valid
377.0ms	4082×	body	80	valid
186.0ms	607×	body	320	valid
43.0ms	284×	body	160	valid