Details

sample141.0ms

Algorithm

intervals

Results

73.0ms	118×	body	1280	valid
35.0ms	87×	body	640	valid
11.0ms	39×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	12×	body	160	valid

simplify2.8s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (+ n 1.0) (log (+ n 1.0)))
0.3b	(* n (log n))
5.1b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite108.0ms

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:

29.0ms	(* (+ n 1.0) (log (+ n 1.0)))
18.0ms	(* n (log n))
59.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series631.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(* (+ n 1.0) (log (+ n 1.0)))
330.0ms	(* n (log n))
230.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify884.0ms

Counts: 90 → 90

prune255.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (/ 1 n))
0.1b	(* (/ 3002399751580331.0 18014398509481984.0) (/ 1 (pow n 2)))
0.3b	(/ 1 (pow n 2))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt`
91×	`times-frac`
67×	`add-exp-log`
57×	`*-un-lft-identity`
49×	`add-cube-cbrt`
30×	`div-exp`
28×	`associate-r`
25×	`unpow-prod-down`
20×	`prod-exp`
18×	`unswap-sqr`
17×	`add-cbrt-cube`
13×	`log-prod` `associate-l`
11×	`unpow2` `sqr-pow`
10×	`rec-exp` `1-exp`
9×	`pow-to-exp` `pow-exp`
8×	`associate-/r*`
7×	`pow1`
5×	`cbrt-undiv`
4×	`rem-log-exp` `cbrt-unprod` `div-inv`
3×	`log-pow` `associate-/l*` `add-log-exp`
2×	`pow-flip` `inv-pow`
1×	`frac-times` `log-div` `frac-2neg` `associate-r/` `log-rec` `pow-prod-down` `associate-l/` `clear-num` `un-div-inv` `*-commutative`

Counts

3 → 182

Calls

3 calls:

4.0ms	(log (/ 1 n))
49.0ms	(* (/ 3002399751580331.0 18014398509481984.0) (/ 1 (pow n 2)))
17.0ms	(/ 1 (pow n 2))

series258.0ms

Counts

3 → 9

Calls

3 calls:

200.0ms	(log (/ 1 n))
38.0ms	(* (/ 3002399751580331.0 18014398509481984.0) (/ 1 (pow n 2)))
20.0ms	(/ 1 (pow n 2))

simplify1.2s

Counts: 191 → 191

prune591.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 3002399751580331.0 18014398509481984.0) (/ 1 (pow n 2)))
0.3b	(/ (sqrt 1) (sqrt n))
0.3b	(/ (sqrt 1) (sqrt n))
0.3b	(/ 1 (pow n 2))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

154×	`times-frac`
144×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
99×	`add-cube-cbrt`
84×	`sqrt-prod`
67×	`add-exp-log`
30×	`div-exp`
28×	`associate-r`
25×	`unpow-prod-down`
22×	`add-cbrt-cube`
20×	`prod-exp` `associate-/r*`
18×	`unswap-sqr`
15×	`associate-/l*`
13×	`associate-l`
11×	`unpow2` `sqr-pow`
9×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
7×	`cbrt-undiv`
6×	`pow1`
5×	`div-inv`
4×	`cbrt-unprod` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`sqrt-undiv`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 275

Calls

4 calls:

73.0ms	(* (/ 3002399751580331.0 18014398509481984.0) (/ 1 (pow n 2)))
16.0ms	(/ (sqrt 1) (sqrt n))
16.0ms	(/ (sqrt 1) (sqrt n))
18.0ms	(/ 1 (pow n 2))

series163.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (/ 3002399751580331.0 18014398509481984.0) (/ 1 (pow n 2)))
33.0ms	(/ (sqrt 1) (sqrt n))
59.0ms	(/ (sqrt 1) (sqrt n))
31.0ms	(/ 1 (pow n 2))

simplify1.4s

Counts: 287 → 287

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.2s

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.3s	3648×	body	1280	valid
1.5s	2694×	body	640	valid
300.0ms	1237×	body	320	valid
114.0ms	8000×	pre	80	true
99.0ms	421×	body	160	valid