Details

sample158.0ms

Algorithm

intervals

Results

80.0ms	113×	body	1280	valid
40.0ms	86×	body	640	valid
14.0ms	40×	body	320	valid
8.0ms	256×	pre	80	true
3.0ms	17×	body	160	valid

simplify634.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

634.0ms

(- (- (* (+ 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

localize21.0ms

Local error

Found 3 expressions with local error:

5.4b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.3b	(* (+ n 1) (log (+ n 1)))
0.3b	(* n (log n))

rewrite78.0ms

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

38.0ms	(* (+ n 1) (log (+ n 1)))
33.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
6.0ms	(* n (log n))

series442.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

247.0ms	(* n (log n))
131.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
64.0ms	(* (+ n 1) (log (+ n 1)))

simplify4.1s

Counts

62 → 93

Calls

62 calls:

Slowest

498.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
422.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
341.0ms	(* (* (* (+ n 1) (+ n 1)) (+ n 1)) (* (* (log (+ n 1)) (log (+ n 1))) (log (+ n 1))))
303.0ms	(* (* (* n n) n) (* (* (log n) (log n)) (log n)))
267.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))

prune648.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.8b	(/ 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))))

rewrite1.7s

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

1.6s	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
135.0ms	(- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n))))
12.0ms	(/ 1/6 (* n n))

series129.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

48.0ms	(- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n))))
42.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
39.0ms	(/ 1/6 (* n n))

simplify8.5s

Counts

49 → 82

Calls

49 calls:

Slowest

561.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
499.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
482.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
477.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)
463.0ms	(- (- 1 (+ (/ 1/6 (* n n)) (- (/ -1/2 n) (log n)))) 1)

prune544.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ 1/6 (* n n))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

Slowest

10.0ms

(/ 1/6 (* n n))

series27.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

27.0ms

(/ 1/6 (* n n))

simplify686.0ms

Counts

15 → 25

Calls

15 calls:

Slowest

315.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) n) (* (* n n) n)))
222.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) (* n n)) (* n n)))
31.0ms	(- (log 1/6) (+ (log n) (log n)))
25.0ms	(- (log 1/6) (log (* n n)))
20.0ms	(/ (* (cbrt 1/6) (cbrt 1/6)) n)

prune210.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.6s	3550×	body	1280	valid
1.6s	2651×	body	640	valid
853.0ms	1391×	body	320	valid
241.0ms	8000×	pre	80	true
106.0ms	408×	body	160	valid