Details

sample160.0ms

Algorithm

intervals

Results

85.0ms	122×	body	1280	valid
36.0ms	70×	body	640	valid
15.0ms	45×	body	320	valid
8.0ms	256×	pre	80	true
4.0ms	19×	body	160	valid

simplify166.0ms

Calls

1 calls:

Slowest

166.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize29.0ms

Local error

Found 3 expressions with local error:

7.1b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.2b	(* (+ n 1) (log (+ n 1)))
0.2b	(* n (log n))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
14×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`associate-r` `associate--l+`
7×	`add-cbrt-cube` `associate-l` `add-exp-log`
6×	`associate--r+`
5×	`distribute-lft-out` `add-log-exp`
3×	`insert-posit16`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Calls

3 calls:

Slowest

20.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
18.0ms	(* (+ n 1) (log (+ n 1)))
6.0ms	(* n (log n))

series519.0ms

Calls

3 calls:

Slowest

278.0ms	(* n (log n))
191.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
51.0ms	(* (+ n 1) (log (+ n 1)))

simplify4.2s

Calls

62 calls:

Slowest

522.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
436.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
364.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))
351.0ms	(* (* (* (+ n 1) (+ n 1)) (+ n 1)) (* (* (log (+ n 1)) (log (+ n 1))) (log (+ n 1))))
296.0ms	(* (* (* n n) n) (* (* (log n) (log n)) (log n)))

prune676.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1/6 (* n n))
0.0b	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
0.0b	(- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n))))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`add-log-exp`
17×	`distribute-lft-out--`
12×	`add-sqr-sqrt` `diff-log`
8×	`add-cbrt-cube` `add-exp-log`
6×	`distribute-lft-out`
5×	`pow1` `add-cube-cbrt`
4×	`sum-log` `difference-of-squares`
3×	`sub-neg` `times-frac` `associate--l+` `insert-posit16` `associate-/l*`
2×	`cbrt-undiv` `associate-+r-` `flip3--` `div-exp` `log-pow` `flip--` `associate--r-`
1×	`associate--l-` `clear-num` `associate-/r*` `frac-2neg` `difference-of-sqr-1` `prod-exp` `cbrt-unprod` `div-inv` `associate--r+`

Calls

3 calls:

Slowest

1.9s	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
182.0ms	(- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n))))
6.0ms	(/ 1/6 (* n n))

series144.0ms

Calls

3 calls:

Slowest

56.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
52.0ms	(- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n))))
35.0ms	(/ 1/6 (* n n))

simplify9.8s

Calls

49 calls:

Slowest

613.0ms	(- (sqrt (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n))))) 1)
565.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
561.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
554.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
536.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)

prune677.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1/6 n)
0.1b	(/ (/ 1/6 n) n)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`associate-/l/`

Calls

2 calls:

Slowest

7.0ms	(/ (/ 1/6 n) n)
4.0ms	(/ 1/6 n)

series63.0ms

Calls

2 calls:

Slowest

37.0ms	(/ (/ 1/6 n) n)
26.0ms	(/ 1/6 n)

simplify3.3s

Calls

125 calls:

Slowest

286.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* n n) n))
265.0ms	(/ (/ (* (* 1/6 1/6) 1/6) (* (* n n) n)) (* (* n n) n))
209.0ms	(/ (* (* (/ 1/6 n) (/ 1/6 n)) (/ 1/6 n)) (* (* n n) n))
141.0ms	(/ (/ (* (cbrt 1/6) (cbrt 1/6)) (* (cbrt n) (cbrt n))) (sqrt n))
133.0ms	(/ (/ (* (cbrt 1/6) (cbrt 1/6)) (* (cbrt n) (cbrt n))) (* (cbrt n) (cbrt n)))

prune866.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.0s	3529×	body	1280	valid
1.4s	2700×	body	640	valid
955.0ms	1316×	body	320	valid
272.0ms	8000×	pre	80	true
172.0ms	455×	body	160	valid