Details

sample91.0ms

Algorithm

intervals

Results

28.0ms	54×	body	1280	valid
13.0ms	246×	body	80	nan
13.0ms	40×	body	640	valid
13.0ms	23×	body	320	valid
10.0ms	126×	body	80	valid
2.0ms	13×	body	160	valid

simplify11.0ms

Calls

1 calls:

Slowest

11.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize9.0ms

Local error

Found 1 expressions with local error:

3.4b	(- (log1p N) (log N))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg`
2×	`diff-log` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `log1p-udef` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Calls

1 calls:

Slowest

6.0ms

(- (log1p N) (log N))

series74.0ms

Calls

1 calls:

Slowest

74.0ms

(- (log1p N) (log N))

simplify1.1s

Calls

28 calls:

Slowest

185.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
174.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
141.0ms	(- N (+ (log N) (* 1/2 (pow N 2))))
60.0ms	(fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N)))))
52.0ms	(fma 1 (log1p N) (- (* (log N) 1)))

prune320.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log`
3×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `div-inv` `pow-flip`
1×	`pow2` `rec-exp` `associate-/r*` `fma-udef` `inv-pow`

Calls

3 calls:

Slowest

1.0ms	(/ 1 (* N N))
0.0ms	(/ 1/3 N)
0.0ms	(fma (/ 1 (* N N)) (+ (/ 1/3 N) -1/2) (/ 1 N))

series35.0ms

Calls

3 calls:

Slowest

16.0ms	(fma (/ 1 (* N N)) (+ (/ 1/3 N) -1/2) (/ 1 N))
12.0ms	(/ 1 (* N N))
7.0ms	(/ 1/3 N)

simplify624.0ms

Calls

11 calls:

Slowest

203.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
177.0ms	(- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2))))
171.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
18.0ms	(/ 1 (pow N 2))
16.0ms	(/ 1 (pow N 2))

prune374.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

3.6b	(log (/ (+ 1 N) N))
0.0b	(/ (+ 1 N) N)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`log-div` `clear-num` `frac-2neg` `flip3-+` `rem-log-exp` `log-pow` `flip-+`

Calls

2 calls:

Slowest

3.0ms	(/ (+ 1 N) N)
2.0ms	(log (/ (+ 1 N) N))

series68.0ms

Calls

2 calls:

Slowest

37.0ms	(/ (+ 1 N) N)
31.0ms	(log (/ (+ 1 N) N))

simplify644.0ms

Calls

16 calls:

Slowest

174.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
162.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
136.0ms	(- N (+ (log N) (* 1/2 (pow N 2))))
25.0ms	(log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))))
23.0ms	(- (* 1 1) (* N N))

prune289.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize0.0ms

Local error

Found 1 expressions with local error:

3.4b	(- (log1p N) (log N))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg`
2×	`diff-log` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `log1p-udef` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Calls

1 calls:

Slowest

5.0ms

(- (log1p N) (log N))

series59.0ms

Calls

1 calls:

Slowest

59.0ms

(- (log1p N) (log N))

simplify1.4s

Calls

28 calls:

Slowest

229.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
212.0ms	(- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))
166.0ms	(- N (+ (log N) (* 1/2 (pow N 2))))
63.0ms	(fma 1 (log1p N) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))))
58.0ms	(fma 1 (log1p N) (- (* (log N) 1)))

prune218.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 31.0b

bsearch37.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.0s	1744×	body	1280	valid
545.0ms	1247×	body	640	valid
512.0ms	7996×	body	80	nan
506.0ms	4086×	body	80	valid
150.0ms	590×	body	320	valid
59.0ms	333×	body	160	valid