Details

sample144.0ms

Algorithm

intervals

Results

76.0ms	119×	body	1280	valid
38.0ms	84×	body	640	valid
12.0ms	39×	body	320	valid
7.0ms	256×	pre	80	true
3.0ms	14×	body	160	valid

simplify176.0ms

Calls

1 calls:

Slowest

176.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize38.0ms

Local error

Found 3 expressions with local error:

6.1b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.3b	(* (+ n 1) (log (+ n 1)))
0.3b	(* n (log n))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

105.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
32.0ms	(* (+ n 1) (log (+ n 1)))
7.0ms	(* n (log n))

series482.0ms

Calls

3 calls:

Slowest

311.0ms	(* n (log n))
131.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
39.0ms	(* (+ n 1) (log (+ n 1)))

simplify5.3s

Calls

76 calls:

Slowest

585.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
431.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
374.0ms	(* (* (* (+ n 1) (+ n 1)) (+ n 1)) (* (* (log (+ n 1)) (log (+ n 1))) (log (+ n 1))))
362.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))
335.0ms	(- (+ n (* 1/2 (pow n 2))) (* 1/6 (pow n 3)))

prune871.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 3 expressions with local error:

0.7b	(/ 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))))

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

2.2s	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
236.0ms	(- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n))))
14.0ms	(/ 1/6 (* n n))

series115.0ms

Calls

3 calls:

Slowest

41.0ms	(- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n))))
37.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
37.0ms	(/ 1/6 (* n n))

simplify13.2s

Calls

160 calls:

Slowest

634.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
615.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
601.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
561.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
518.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)

prune1.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1/6 n)
0.1b	(/ (/ 1/6 n) n)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

15.0ms	(/ (/ 1/6 n) n)
7.0ms	(/ 1/6 n)

series57.0ms

Calls

2 calls:

Slowest

40.0ms	(/ (/ 1/6 n) n)
17.0ms	(/ 1/6 n)

simplify3.6s

Calls

131 calls:

Slowest

368.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* n n) n))
254.0ms	(/ (/ (* (* 1/6 1/6) 1/6) (* (* n n) n)) (* (* n n) n))
216.0ms	(/ (* (* (/ 1/6 n) (/ 1/6 n)) (/ 1/6 n)) (* (* n n) n))
188.0ms	(/ (/ (* (cbrt 1/6) (cbrt 1/6)) (* (cbrt n) (cbrt n))) (* (cbrt n) (cbrt n)))
158.0ms	(/ (/ (* (cbrt 1/6) (cbrt 1/6)) (sqrt n)) (* (cbrt n) (cbrt n)))

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.4s	3666×	body	1280	valid
1.6s	2618×	body	640	valid
770.0ms	8000×	pre	80	true
584.0ms	1297×	body	320	valid
98.0ms	419×	body	160	valid