Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify1.2s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize14.0ms

Local error

Found 1 expressions with local error:

62.0b

(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate--r+`
3×	`sub-neg` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 16

Calls

1 calls:

24.0ms

(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

series231.0ms

Counts

1 → 3

Calls

1 calls:

231.0ms

(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

simplify1.6s

Counts: 19 → 19

prune61.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize12.0ms

Local error

Found 1 expressions with local error:

23.0b

(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

21.0ms

(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

series578.0ms

Counts

1 → 3

Calls

1 calls:

578.0ms

(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

simplify935.0ms

Counts: 15 → 15

prune77.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize33.0ms

Local error

Found 2 expressions with local error:

1.0b	(cbrt (pow (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) 3))
23.0b	(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`unpow-prod-down` `cube-prod`
2×	`pow1` `add-exp-log` `cube-div` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--`
1×	`cube-mult` `sub-neg` `pow1/3` `diff-log` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 35

Calls

2 calls:

26.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) 3))
23.0ms	(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

series1.3s

Counts

2 → 6

Calls

2 calls:

678.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) 3))
615.0ms	(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

simplify2.6s

Counts: 41 → 41

prune149.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify1.2s

end0.0ms

sample1.1s

Algorithm

intervals

Results

620.0ms	8000×	body	80	valid
219.0ms	8000×	pre	80	true