Details

sample27.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify94.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize10.0ms

Local error

Found 1 expressions with local error:

62.0b

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

rewrite19.0ms

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:

18.0ms

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

series321.0ms

Counts

1 → 3

Calls

1 calls:

321.0ms

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

simplify131.0ms

Counts: 19 → 19

prune61.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize14.0ms

Local error

Found 1 expressions with local error:

23.0b

(+ (* 9.0 (pow x 4.0)) (- (pow y 4)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `neg-sub0` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `*-un-lft-identity` `flip3-+` `unsub-neg` `neg-log` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

29.0ms

(+ (* 9.0 (pow x 4.0)) (- (pow y 4)))

series782.0ms

Counts

1 → 3

Calls

1 calls:

782.0ms

(+ (* 9.0 (pow x 4.0)) (- (pow y 4)))

simplify91.0ms

Counts: 18 → 18

prune71.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize26.0ms

Local error

Found 2 expressions with local error:

1.0b	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
23.0b	(- (* 9.0 (pow x 4.0)) (pow y 4))

rewrite62.0ms

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:

39.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
21.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4))

series1.7s

Counts

2 → 6

Calls

2 calls:

684.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
1.0s	(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify146.0ms

Counts: 41 → 41

prune161.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify71.0ms

end0.0ms

sample946.0ms

Algorithm

intervals

Results

494.0ms	8000×	body	80	valid
183.0ms	8000×	pre	80	true