Details

sample57.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify127.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize34.0ms

Local error

Found 1 expressions with local error:

23.0b

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

rewrite19.0ms

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:

19.0ms

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

series628.0ms

Counts

1 → 3

Calls

1 calls:

628.0ms

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

simplify53.0ms

Counts: 15 → 15

prune80.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize39.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

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:

37.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
26.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series1.3s

Counts

2 → 6

Calls

2 calls:

601.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
714.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify174.0ms

Counts: 41 → 41

prune140.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify65.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

711.0ms	8000×	body	80	valid
242.0ms	8000×	pre	80	true