Details

sample213.0ms

Algorithm

intervals

Results

90.0ms	106×	body	1280	valid
80.0ms	96×	body	640	valid
17.0ms	42×	body	320	valid
9.0ms	256×	pre	80	true
3.0ms	12×	body	160	valid

simplify135.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

135.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.9b

localize32.0ms

Local error

Found 3 expressions with local error:

5.1b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.2b	(* (+ n 1) (log (+ n 1)))
0.2b	(* n (log n))

rewrite62.0ms

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

26.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
20.0ms	(* (+ n 1) (log (+ n 1)))
13.0ms	(* n (log n))

series482.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

273.0ms	(* n (log n))
166.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
43.0ms	(* (+ n 1) (log (+ n 1)))

simplify4.3s

Counts

62 → 93

Calls

62 calls:

Slowest

599.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
390.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
347.0ms	(* (* (* (+ n 1) (+ n 1)) (+ n 1)) (* (* (log (+ n 1)) (log (+ n 1))) (log (+ n 1))))
342.0ms	(/ (exp (* (+ n 1) (log (+ n 1)))) (exp (* n (log n))))
290.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))

prune766.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

Slowest

1.1s	(- (+ (/ 1/2 n) (+ 1 (+ (log n) (/ -1/6 (* n n))))) 1)
12.0ms	(/ -1/6 (* n n))

series83.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

51.0ms	(- (+ (/ 1/2 n) (+ 1 (+ (log n) (/ -1/6 (* n n))))) 1)
32.0ms	(/ -1/6 (* n n))

simplify4.1s

Counts

33 → 53

Calls

33 calls:

Slowest

447.0ms	(/ (* (exp (/ 1/2 n)) (exp (+ 1 (+ (log n) (/ -1/6 (* n n)))))) (exp 1))
422.0ms	(- (+ (log -1) (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))
325.0ms	(/ (* (* -1/6 -1/6) -1/6) (* (* (* n n) n) (* (* n n) n)))
294.0ms	(/ (* (* -1/6 -1/6) -1/6) (* (* (* n n) (* n n)) (* n n)))
272.0ms	(/ (* (exp (/ 1/2 n)) (* (exp 1) (* n (exp (/ -1/6 (* n n)))))) (exp 1))

prune465.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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

14.0ms	(/ (/ 1/6 n) n)
7.0ms	(/ 1/6 n)

series56.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

34.0ms	(/ (/ 1/6 n) n)
21.0ms	(/ 1/6 n)

simplify3.5s

Counts

125 → 105

Calls

125 calls:

Slowest

285.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* n n) n))
269.0ms	(/ (/ (* (* 1/6 1/6) 1/6) (* (* n n) n)) (* (* n n) n))
202.0ms	(/ (* (* (/ 1/6 n) (/ 1/6 n)) (/ 1/6 n)) (* (* n n) n))
167.0ms	(/ (/ (* (cbrt 1/6) (cbrt 1/6)) (sqrt n)) (* (cbrt n) (cbrt n)))
147.0ms	(/ (/ (* (cbrt 1/6) (cbrt 1/6)) (* (cbrt n) (cbrt n))) (sqrt n))

prune979.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.5s	3627×	body	1280	valid
2.0s	2628×	body	640	valid
516.0ms	1322×	body	320	valid
240.0ms	8000×	pre	80	true
129.0ms	423×	body	160	valid