Details

sample189.0ms

Algorithm

intervals

Results

80.0ms	111×	body	1280	valid
71.0ms	89×	body	640	valid
15.0ms	40×	body	320	valid
8.0ms	256×	pre	80	true
4.0ms	16×	body	160	valid

simplify145.0ms

Calls

1 calls:

Slowest

143.0ms

(- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1)

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize34.0ms

Local error

Found 3 expressions with local error:

7.3b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.3b	(* n (log n))
0.3b	(* (+ n 1) (log (+ n 1)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`distribute-rgt-in` `pow1` `distribute-lft-in` `associate--l+`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-l` `insert-posit16`
2×	`associate-l/` `-commutative`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `flip-+` `flip--`

Calls

3 calls:

Slowest

11.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
9.0ms	(* (+ n 1) (log (+ n 1)))
1.0ms	(* n (log n))

series396.0ms

Calls

3 calls:

Slowest

223.0ms	(* n (log n))
135.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
39.0ms	(* (+ n 1) (log (+ n 1)))

simplify3.9s

Calls

36 calls:

Slowest

515.0ms	(- (+ n (* 1/2 (pow n 2))) (* 1/6 (pow n 3)))
479.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
473.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
351.0ms	(- (+ n (* 1/2 (pow n 2))) (+ (* n (log n)) (* 1/6 (pow n 3))))
311.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))

prune500.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

1.4b	(/ 1/6 (* n n))
0.0b	(- (+ (+ 1 (- (log n) (/ 1/6 (* n n)))) (/ 1/2 n)) 1)
0.0b	(+ 1 (- (log n) (/ 1/6 (* n n))))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
2×	`associate-+r+` `associate-+r-` `sub-neg`
1×	`associate--l-` `+-commutative` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `flip3--` `difference-of-sqr-1` `associate--l+` `associate-+l-` `flip-+` `div-inv` `flip--`

Calls

3 calls:

Slowest

132.0ms	(- (+ (+ 1 (- (log n) (/ 1/6 (* n n)))) (/ 1/2 n)) 1)
4.0ms	(+ 1 (- (log n) (/ 1/6 (* n n))))
0.0ms	(/ 1/6 (* n n))

series370.0ms

Calls

3 calls:

Slowest

338.0ms	(+ 1 (- (log n) (/ 1/6 (* n n))))
21.0ms	(- (+ (+ 1 (- (log n) (/ 1/6 (* n n)))) (/ 1/2 n)) 1)
11.0ms	(/ 1/6 (* n n))

simplify1.9s

Calls

15 calls:

Slowest

446.0ms	(- (+ (log -1) 1) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))
384.0ms	(- (+ (log -1) (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))
221.0ms	(+ (sqrt (+ (+ 1 (- (log n) (/ 1/6 (* n n)))) (/ 1/2 n))) 1)
208.0ms	(- 1 (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
192.0ms	(- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))

prune411.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

1.4b	(/ -1/6 (* n n))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `clear-num` `associate-/r` `frac-2neg` `-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

1.0ms

(/ -1/6 (* n n))

series19.0ms

Calls

1 calls:

Slowest

19.0ms

(/ -1/6 (* n n))

simplify54.0ms

Calls

3 calls:

Slowest

20.0ms	(/ -1/6 (pow n 2))
16.0ms	(/ -1/6 (pow n 2))
16.0ms	(/ -1/6 (pow n 2))

prune114.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.9s	3619×	body	1280	valid
1.9s	2605×	body	640	valid
621.0ms	1362×	body	320	valid
285.0ms	8000×	pre	80	true
104.0ms	414×	body	160	valid