Details

sample168.0ms

Algorithm

intervals

Results

83.0ms	117×	body	1280	valid
51.0ms	89×	body	640	valid
11.0ms	34×	body	320	valid
8.0ms	256×	pre	80	true
3.0ms	16×	body	160	valid

simplify156.0ms

Calls

1 calls:

Slowest

156.0ms

(- (- (* (+ 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

localize18.0ms

Local error

Found 3 expressions with local error:

5.6b	(- (* (+ 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--`

Calls

3 calls:

Slowest

37.0ms	(* (+ n 1) (log (+ n 1)))
24.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
16.0ms	(* n (log n))

series883.0ms

Calls

3 calls:

Slowest

674.0ms	(* n (log n))
155.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
54.0ms	(* (+ n 1) (log (+ n 1)))

simplify4.3s

Calls

62 calls:

Slowest

500.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
489.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
389.0ms	(* (* (* (+ n 1) (+ n 1)) (+ n 1)) (* (* (log (+ n 1)) (log (+ n 1))) (log (+ n 1))))
322.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))
288.0ms	(* (* (* n n) n) (* (* (log n) (log n)) (log n)))

prune620.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 2 expressions with local error:

1.1b	(/ -1/6 (* n n))
0.0b	(- (+ (/ 1/2 n) (+ 1 (+ (log n) (/ -1/6 (* n n))))) 1)

rewrite952.0ms

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--`

Calls

2 calls:

Slowest

944.0ms	(- (+ (/ 1/2 n) (+ 1 (+ (log n) (/ -1/6 (* n n))))) 1)
7.0ms	(/ -1/6 (* n n))

series77.0ms

Calls

2 calls:

Slowest

49.0ms	(- (+ (/ 1/2 n) (+ 1 (+ (log n) (/ -1/6 (* n n))))) 1)
28.0ms	(/ -1/6 (* n n))

simplify4.2s

Calls

33 calls:

Slowest

419.0ms	(/ (* (exp (/ 1/2 n)) (exp (+ 1 (+ (log n) (/ -1/6 (* n n)))))) (exp 1))
377.0ms	(- (+ (log -1) (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))
375.0ms	(/ (* (* -1/6 -1/6) -1/6) (* (* (* n n) n) (* (* n n) n)))
312.0ms	(/ (* (exp (/ 1/2 n)) (* (exp 1) (* n (exp (/ -1/6 (* n n)))))) (exp 1))
268.0ms	(/ (* (exp (/ 1/2 n)) (* (exp 1) (exp (+ (log n) (/ -1/6 (* n n)))))) (exp 1))

prune414.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
76×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
55×	`add-cube-cbrt`
16×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv`
6×	`associate-/r*` `difference-of-squares`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
3×	`pow1` `insert-posit16`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `flip--` `sub-div` `associate-/l/`

Calls

3 calls:

Slowest

31.0ms	(- (/ 1/2 n) (/ (/ 1/6 n) n))
10.0ms	(/ (/ 1/6 n) n)
4.0ms	(/ 1/6 n)

series144.0ms

Calls

3 calls:

Slowest

83.0ms	(- (/ 1/2 n) (/ (/ 1/6 n) n))
41.0ms	(/ (/ 1/6 n) n)
19.0ms	(/ 1/6 n)

simplify4.4s

Calls

153 calls:

Slowest

306.0ms	(/ (/ (* (* 1/6 1/6) 1/6) (* (* n n) n)) (* (* n n) n))
306.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* n n) n))
276.0ms	(/ (* (* (/ 1/6 n) (/ 1/6 n)) (/ 1/6 n)) (* (* n n) n))
172.0ms	(/ (/ (* (cbrt 1/6) (cbrt 1/6)) (* (cbrt n) (cbrt n))) (sqrt n))
165.0ms	(/ (/ (* (cbrt 1/6) (cbrt 1/6)) (* (cbrt n) (cbrt n))) (* (cbrt n) (cbrt n)))

prune1.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.3s	3604×	body	1280	valid
1.5s	2661×	body	640	valid
575.0ms	1319×	body	320	valid
256.0ms	8000×	pre	80	true
89.0ms	416×	body	160	valid