Details

sample49.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify110.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize11.0ms

Local error

Found 1 expressions with local error:

62.0b

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

rewrite23.0ms

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:

12.0ms

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

series232.0ms

Counts

1 → 3

Calls

1 calls:

232.0ms

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

simplify79.0ms

Counts: 19 → 19

prune50.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize16.0ms

Local error

Found 1 expressions with local error:

23.0b

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

rewrite24.0ms

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:

23.0ms

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

series550.0ms

Counts

1 → 3

Calls

1 calls:

550.0ms

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

simplify83.0ms

Counts: 18 → 18

prune64.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize17.0ms

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))

rewrite38.0ms

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:

24.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
12.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4))

series1.2s

Counts

2 → 6

Calls

2 calls:

639.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
609.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify136.0ms

Counts: 41 → 41

prune203.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify80.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

517.0ms	8000×	body	80	valid
231.0ms	8000×	pre	80	true