Details

sample209.0ms

Algorithm

intervals

Results

103.0ms	106×	body	1280	valid
62.0ms	99×	body	640	valid
16.0ms	36×	body	320	valid
10.0ms	256×	pre	80	true
4.0ms	15×	body	160	valid

simplify173.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

173.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize19.0ms

Local error

Found 3 expressions with local error:

4.6b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.3b	(* (+ n 1) (log (+ n 1)))
0.3b	(* n (log n))

rewrite49.0ms

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--`

Counts

3 → 84

Calls

3 calls:

Slowest

19.0ms	(* (+ n 1) (log (+ n 1)))
18.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
11.0ms	(* n (log n))

series437.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

254.0ms	(* n (log n))
133.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
50.0ms	(* (+ n 1) (log (+ n 1)))

simplify4.4s

Counts

62 → 93

Calls

62 calls:

Slowest

586.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
439.0ms	(- (+ 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))))
321.0ms	(/ (exp (* (+ n 1) (log (+ n 1)))) (exp (* n (log n))))
315.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))

prune782.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

1.2b	(/ 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))))

rewrite2.3s

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+`

Counts

3 → 73

Calls

3 calls:

Slowest

2.1s	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
170.0ms	(- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n))))
18.0ms	(/ 1/6 (* n n))

series131.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

48.0ms	(/ 1/6 (* n n))
44.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
39.0ms	(- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n))))

simplify9.4s

Counts

49 → 82

Calls

49 calls:

Slowest

598.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
519.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
518.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
516.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
490.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)

prune723.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 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/`

Counts

2 → 99

Calls

2 calls:

Slowest

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

series81.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

53.0ms	(/ (/ 1/6 n) n)
27.0ms	(/ 1/6 n)

simplify3.5s

Counts

125 → 105

Calls

125 calls:

Slowest

322.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* n n) n))
296.0ms	(/ (/ (* (* 1/6 1/6) 1/6) (* (* n n) n)) (* (* n n) n))
248.0ms	(/ (* (* (/ 1/6 n) (/ 1/6 n)) (/ 1/6 n)) (* (* n n) n))
157.0ms	(/ (/ (* (cbrt 1/6) (cbrt 1/6)) (* (cbrt n) (cbrt n))) (sqrt n))
142.0ms	(/ (/ (* (cbrt 1/6) (cbrt 1/6)) (* (cbrt n) (cbrt n))) (* (cbrt n) (cbrt n)))

prune853.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.1s	3576×	body	1280	valid
2.0s	2673×	body	640	valid
980.0ms	1334×	body	320	valid
246.0ms	8000×	pre	80	true
95.0ms	417×	body	160	valid