Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	15
1	28	15
2	62	14
3	142	14
4	321	14
5	737	14
6	2044	14
done	5000	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize10.0ms

Local error

Found 1 expressions with local error:

23.0b

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`prod-diff`
3×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `sqr-pow`

Counts

1 → 22

Calls

1 calls:

6.0ms

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

series402.0ms

Counts

1 → 3

Calls

1 calls:

401.0ms

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

simplify1.5s

Counts

25 → 25

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	93	490
1	205	393
2	621	340
3	2917	318
done	5001	317

prune61.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`unpow-prod-down` `cube-prod`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `fma-udef` `sqr-pow`

Counts

2 → 33

Calls

2 calls:

1.0ms	(cbrt (pow (fma 9.0 (pow x 4.0) (- (pow y 4.0))) 3))
0.0ms	(fma 9.0 (pow x 4.0) (- (pow y 4.0)))

series625.0ms

Counts

2 → 6

Calls

2 calls:

315.0ms	(cbrt (pow (fma 9.0 (pow x 4.0) (- (pow y 4.0))) 3))
310.0ms	(fma 9.0 (pow x 4.0) (- (pow y 4.0)))

simplify2.3s

Counts

39 → 39

Iterations

Useful iterations: 4 (926.0ms)

Iter	Nodes	Cost
0	62	666
1	116	537
2	271	488
3	915	482
4	4624	474
done	5000	474

prune108.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	15	17
done	15	17

end0.0ms

sample576.0ms

Algorithm

intervals

Results

342.0ms	8000×	body	80	valid
96.0ms	8000×	pre	80	true