Details

sample164.0ms

Algorithm

intervals

Results

85.0ms	122×	body	1280	valid
40.0ms	79×	body	640	valid
16.0ms	46×	body	320	valid
8.0ms	256×	pre	80	true
2.0ms	9×	body	160	valid

simplify606.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

605.0ms

(- (- (* (+ 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

localize37.0ms

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))

rewrite63.0ms

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

31.0ms	(* (+ n 1) (log (+ n 1)))
24.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
6.0ms	(* n (log n))

series494.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

307.0ms	(* n (log n))
133.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
54.0ms	(* (+ n 1) (log (+ n 1)))

simplify8.7s

Counts

109 → 93

Calls

109 calls:

Slowest

526.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
480.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
366.0ms	(* (* (* (+ n 1) (+ n 1)) (+ n 1)) (* (* (log (+ n 1)) (log (+ n 1))) (log (+ n 1))))
354.0ms	(* (* (* n n) n) (* (* (log n) (log n)) (log n)))
315.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))

prune733.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ -1/6 n)
0.1b	(/ (/ -1/6 n) n)
0.0b	(- (+ (+ (/ (/ -1/6 n) n) 1) (+ (/ 1/2 n) (log n))) 1)

rewrite675.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
79×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
53×	`add-cube-cbrt`
19×	`add-log-exp`
16×	`associate-/l*`
13×	`distribute-lft-out`
10×	`add-cbrt-cube` `add-exp-log`
8×	`sum-log`
7×	`distribute-lft-out--`
6×	`associate-/r*` `div-inv`
5×	`pow1` `diff-log`
4×	`cbrt-undiv` `div-exp`
3×	`insert-posit16`
2×	`clear-num` `frac-2neg` `log-pow` `difference-of-squares`
1×	`sub-neg` `flip3--` `difference-of-sqr-1` `associate--l+` `flip--` `associate-/l/`

Counts

3 → 127

Calls

3 calls:

Slowest

648.0ms	(- (+ (+ (/ (/ -1/6 n) n) 1) (+ (/ 1/2 n) (log n))) 1)
15.0ms	(/ (/ -1/6 n) n)
7.0ms	(/ -1/6 n)

series127.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

51.0ms	(/ (/ -1/6 n) n)
41.0ms	(- (+ (+ (/ (/ -1/6 n) n) 1) (+ (/ 1/2 n) (log n))) 1)
34.0ms	(/ -1/6 n)

simplify18.2s

Counts

191 → 136

Calls

191 calls:

Slowest

861.0ms	(- (+ (+ (/ (/ -1/6 n) n) 1) (+ (/ 1/2 n) (log n))) 1)
809.0ms	(real->posit16 (- (+ (+ (/ (/ -1/6 n) n) 1) (+ (/ 1/2 n) (log n))) 1))
808.0ms	(- (+ (+ (/ (/ -1/6 n) n) 1) (+ (/ 1/2 n) (log n))) 1)
797.0ms	(- (+ (+ (/ (/ -1/6 n) n) 1) (+ (/ 1/2 n) (log n))) 1)
772.0ms	(- (+ (+ (/ (/ -1/6 n) n) 1) (+ (/ 1/2 n) (log n))) 1)

prune1.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 1 expressions with local error:

1.1b	(/ 1/6 (* n n))

rewrite7.0ms

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

6.0ms

(/ 1/6 (* n n))

series42.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

42.0ms

(/ 1/6 (* n n))

simplify1.6s

Counts

29 → 25

Calls

29 calls:

Slowest

743.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) n) (* (* n n) n)))
301.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) (* n n)) (* n n)))
147.0ms	(* (* (/ 1/6 (* n n)) (/ 1/6 (* n n))) (/ 1/6 (* n n)))
48.0ms	(- (log 1/6) (log (* n n)))
47.0ms	(- (log 1/6) (+ (log n) (log n)))

prune191.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.1s	3676×	body	1280	valid
2.0s	2649×	body	640	valid
480.0ms	1293×	body	320	valid
236.0ms	8000×	pre	80	true
84.0ms	382×	body	160	valid