Details

sample89.0ms

Algorithm

intervals

Results

30.0ms	62×	body	1280	valid
16.0ms	270×	body	80	nan
11.0ms	125×	body	80	valid
10.0ms	34×	body	640	valid
6.0ms	25×	body	320	valid
1.0ms	10×	body	160	valid

simplify24.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize18.0ms

Local error

Found 2 expressions with local error:

3.0b	(- (log (+ N 1)) (log N))
2.5b	(log (+ N 1))

rewrite12.0ms

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

8.0ms	(- (log (+ N 1)) (log N))
3.0ms	(log (+ N 1))

series125.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

93.0ms	(- (log (+ N 1)) (log N))
32.0ms	(log (+ N 1))

simplify1.3s

Counts: 49 → 49

prune460.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

12.2b	(+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))
0.3b	(/ 1/2 (* N N))
0.2b	(/ 1/3 (* N (* N N)))
0.1b	(* N (* N N))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
16×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp` `pow-prod-up`
4×	`insert-posit16`
3×	`associate-l` `pow-prod-down` `frac-add` `div-inv` `distribute-lft-out`
2×	`associate-+r+` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `distribute-lft-out--`
1×	`pow2` `+-commutative` `associate-+r-` `sub-neg` `flip3-+` `pow-plus` `flip3--` `diff-log` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `frac-sub` `flip-+` `flip--` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

Slowest

108.0ms	(+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))
25.0ms	(* N (* N N))
21.0ms	(/ 1/3 (* N (* N N)))
7.0ms	(/ 1/2 (* N N))

series188.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

52.0ms	(/ 1/2 (* N N))
51.0ms	(/ 1/3 (* N (* N N)))
44.0ms	(* N (* N N))
41.0ms	(+ (/ 1/3 (* N (* N N))) (- (/ 1 N) (/ 1/2 (* N N))))

simplify3.0s

Counts: 105 → 105

prune859.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

3.7b	(log (/ (+ N 1) N))
0.0b	(/ (+ N 1) N)

rewrite35.0ms

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

26.0ms	(/ (+ N 1) N)
7.0ms	(log (/ (+ N 1) N))

series139.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

81.0ms	(log (/ (+ N 1) N))
58.0ms	(/ (+ N 1) N)

simplify1.5s

Counts: 68 → 68

prune470.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

3.4b	(log (sqrt (/ (+ N 1) N)))
3.4b	(log (sqrt (/ (+ N 1) N)))
0.0b	(sqrt (/ (+ N 1) N))
0.0b	(sqrt (/ (+ N 1) N))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

64×	`sqrt-prod`
62×	`*-un-lft-identity`
50×	`times-frac`
44×	`add-sqr-sqrt`
38×	`log-prod` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`pow1`
6×	`add-exp-log` `log-pow`
4×	`rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `sqrt-div` `insert-posit16` `div-inv` `add-log-exp`
2×	`log-div` `rem-log-exp`

Counts

4 → 122

Calls

4 calls:

Slowest

5.0ms	(sqrt (/ (+ N 1) N))
5.0ms	(sqrt (/ (+ N 1) N))
4.0ms	(log (sqrt (/ (+ N 1) N)))
4.0ms	(log (sqrt (/ (+ N 1) N)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

107.0ms	(log (sqrt (/ (+ N 1) N)))
93.0ms	(log (sqrt (/ (+ N 1) N)))
54.0ms	(sqrt (/ (+ N 1) N))
42.0ms	(sqrt (/ (+ N 1) N))

simplify1.5s

Counts: 134 → 134

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes74.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 30.5b

bsearch71.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

967.0ms	1805×	body	1280	valid
942.0ms	8156×	body	80	nan
525.0ms	1171×	body	640	valid
397.0ms	4022×	body	80	valid
295.0ms	645×	body	320	valid
54.0ms	357×	body	160	valid