Details

sample92.0ms

Algorithm

intervals

Results

48.0ms	122×	body	1280	valid
19.0ms	73×	body	640	valid
7.0ms	41×	body	320	valid
3.0ms	256×	pre	80	true
2.0ms	20×	body	160	valid

simplify150.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (+ n 1.0) (log (+ n 1.0)))
0.2b	(* n (log n))
7.3b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite95.0ms

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-exp-log` `associate-l` `add-cbrt-cube`
6×	`associate--r+`
5×	`distribute-lft-out` `add-log-exp`
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 → 81

Calls

3 calls:

53.0ms	(* (+ n 1.0) (log (+ n 1.0)))
9.0ms	(* n (log n))
31.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series664.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* (+ n 1.0) (log (+ n 1.0)))
301.0ms	(* n (log n))
275.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify43.0ms

Counts: 90 → 90

prune240.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ 1.0 (+ (+ (/ (/ 1.0 2.0) n) (/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))) (* (log n) 1.0)))

0.0b

(- (+ 1.0 (+ (+ (/ (/ 1.0 2.0) n) (/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))) (* (log n) 1.0))) 1.0)

0.7b

(/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))

rewrite1.2m

Algorithm

rewrite-expression-head

Rules

402×	`times-frac`
207×	`*-un-lft-identity`
202×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
117×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
93×	`unpow-prod-down`
31×	`unpow2` `sqr-pow`
30×	`associate-/l*`
26×	`add-log-exp`
19×	`div-inv`
12×	`sum-log`
9×	`neg-mul-1`
8×	`add-exp-log` `associate-+r-` `associate-/r*`
6×	`associate-+l-`
5×	`distribute-frac-neg` `add-cbrt-cube`
4×	`diff-log`
3×	`pow1` `associate--l-` `neg-sub0` `div-sub` `div-exp`
2×	`unsub-neg` `distribute-lft-out` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `frac-2neg` `flip3-+` `pow-exp` `associate--l+` `clear-num` `flip--` `flip-+` `associate-/l/` `distribute-neg-frac` `difference-of-squares`

Counts

3 → 335

Calls

3 calls:

5.9s

(+ 1.0 (+ (+ (/ (/ 1.0 2.0) n) (/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))) (* (log n) 1.0)))

1.1m

(- (+ 1.0 (+ (+ (/ (/ 1.0 2.0) n) (/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))) (* (log n) 1.0))) 1.0)

47.0ms

(/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))

series112.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms

(+ 1.0 (+ (+ (/ (/ 1.0 2.0) n) (/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))) (* (log n) 1.0)))

43.0ms

(- (+ 1.0 (+ (+ (/ (/ 1.0 2.0) n) (/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))) (* (log n) 1.0))) 1.0)

27.0ms

(/ (- (/ 3002399751580331.0 18014398509481984.0)) (pow n 2))

simplify85.0ms

Counts: 344 → 344

prune1.0s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (+ (- (* (log n) 1.0) 1.0) (- (/ (/ 1.0 2.0) n) (/ (/ 3002399751580331.0 18014398509481984.0) (pow n 2)))))
0.0b	(- (* (log n) 1.0) 1.0)
0.7b	(/ (/ 3002399751580331.0 18014398509481984.0) (pow n 2))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

185×	`times-frac`
104×	`*-un-lft-identity`
94×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`unpow-prod-down`
23×	`add-log-exp`
16×	`add-exp-log`
14×	`unpow2` `sqr-pow`
13×	`associate-/l*`
10×	`div-inv`
9×	`div-exp` `sum-log`
8×	`associate-/r*` `add-cbrt-cube`
5×	`diff-log` `distribute-lft-out`
3×	`pow1` `cbrt-undiv` `associate-+r-`
2×	`pow-to-exp` `pow-exp`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+r+` `flip3--` `distribute-rgt-out--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

3 → 178

Calls

3 calls:

1.7s	(+ 1.0 (+ (- (* (log n) 1.0) 1.0) (- (/ (/ 1.0 2.0) n) (/ (/ 3002399751580331.0 18014398509481984.0) (pow n 2)))))
8.0ms	(- (* (log n) 1.0) 1.0)
14.0ms	(/ (/ 3002399751580331.0 18014398509481984.0) (pow n 2))

series219.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ 1.0 (+ (- (* (log n) 1.0) 1.0) (- (/ (/ 1.0 2.0) n) (/ (/ 3002399751580331.0 18014398509481984.0) (pow n 2)))))
156.0ms	(- (* (log n) 1.0) 1.0)
26.0ms	(/ (/ 3002399751580331.0 18014398509481984.0) (pow n 2))

simplify53.0ms

Counts: 187 → 187

prune427.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify27.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.6s	3608×	body	1280	valid
613.0ms	2652×	body	640	valid
199.0ms	1338×	body	320	valid
194.0ms	8000×	pre	80	true
36.0ms	402×	body	160	valid