Details

sample196.0ms

Algorithm

intervals

Results

102.0ms	110×	body	1280	valid
49.0ms	84×	body	640	valid
18.0ms	45×	body	320	valid
9.0ms	256×	pre	80	true
4.0ms	17×	body	160	valid

simplify177.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

177.0ms

(- (- (* (+ 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

localize43.0ms

Local error

Found 3 expressions with local error:

6.8b	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
0.2b	(* (+ n 1) (log (+ n 1)))
0.2b	(* n (log n))

rewrite91.0ms

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

39.0ms	(* (+ n 1) (log (+ n 1)))
36.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
14.0ms	(* n (log n))

series517.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

276.0ms	(* n (log n))
178.0ms	(- (* (+ n 1) (log (+ n 1))) (* n (log n)))
63.0ms	(* (+ n 1) (log (+ n 1)))

simplify4.4s

Counts

62 → 93

Calls

62 calls:

Slowest

464.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* n (log (/ 1 n))) (log (/ 1 n))))
443.0ms	(- (+ 1 (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ 1 n))))
326.0ms	(* (* (* (+ n 1) (+ n 1)) (+ n 1)) (* (* (log (+ n 1)) (log (+ n 1))) (log (+ n 1))))
318.0ms	(- (+ (log -1) (+ 1 (* 1/2 (/ 1 n)))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))
312.0ms	(/ (exp (* (+ n 1) (log (+ n 1)))) (exp (* n (log n))))

prune778.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.5b	(/ -1/6 (* n n))
0.0b	(- (+ (/ 1/2 n) (+ 1 (+ (log n) (/ -1/6 (* n n))))) 1)
0.0b	(+ 1 (+ (log n) (/ -1/6 (* n n))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

Slowest

1.2s	(- (+ (/ 1/2 n) (+ 1 (+ (log n) (/ -1/6 (* n n))))) 1)
52.0ms	(+ 1 (+ (log n) (/ -1/6 (* n n))))
7.0ms	(/ -1/6 (* n n))

series620.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

517.0ms	(+ 1 (+ (log n) (/ -1/6 (* n n))))
53.0ms	(/ -1/6 (* n n))
50.0ms	(- (+ (/ 1/2 n) (+ 1 (+ (log n) (/ -1/6 (* n n))))) 1)

simplify5.0s

Counts

42 → 73

Calls

42 calls:

Slowest

497.0ms	(- (+ (log -1) 1) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))
449.0ms	(- (+ (log -1) (* 1/2 (/ 1 n))) (+ (* 1/6 (/ 1 (pow n 2))) (log (/ -1 n))))
422.0ms	(/ (* (exp (/ 1/2 n)) (exp (+ 1 (+ (log n) (/ -1/6 (* n n)))))) (exp 1))
345.0ms	(/ (* (* -1/6 -1/6) -1/6) (* (* (* n n) n) (* (* n n) n)))
298.0ms	(/ (* (exp (/ 1/2 n)) (* (exp 1) (exp (+ (log n) (/ -1/6 (* n n)))))) (exp 1))

prune658.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ 1/6 (* n n))

rewrite13.0ms

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

13.0ms

(/ 1/6 (* n n))

series44.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

44.0ms

(/ 1/6 (* n n))

simplify789.0ms

Counts

15 → 25

Calls

15 calls:

Slowest

333.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) n) (* (* n n) n)))
278.0ms	(/ (* (* 1/6 1/6) 1/6) (* (* (* n n) (* n n)) (* n n)))
32.0ms	(- (log 1/6) (+ (log n) (log n)))
27.0ms	(- (log 1/6) (log (* n n)))
24.0ms	(/ (* (cbrt 1/6) (cbrt 1/6)) n)

prune234.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.9s	3651×	body	1280	valid
1.4s	2604×	body	640	valid
525.0ms	1320×	body	320	valid
259.0ms	8000×	pre	80	true
96.0ms	425×	body	160	valid