Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify82.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (15.0ms)

Iter	Nodes	Cost
0	25	7
1	61	7
2	171	7
3	368	7
4	849	6
5	2639	6
6	5001	6
done	5001	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize9.0ms

Local error

Found 1 expressions with local error:

62.0b

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate--r+`
7×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
3×	`add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `fma-neg` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 26

Calls

1 calls:

14.0ms

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

series176.0ms

Counts

1 → 3

Calls

1 calls:

176.0ms

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

simplify33.0ms

Counts

29 → 29

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	244	283
1	933	242
2	5001	236
done	5001	236

prune73.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize13.0ms

Local error

Found 1 expressions with local error:

23.0b

(fma (pow x 4.0) 9.0 (- (pow y 4)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (pow x 4.0) 9.0 (- (pow y 4)))

series320.0ms

Counts

1 → 3

Calls

1 calls:

320.0ms

(fma (pow x 4.0) 9.0 (- (pow y 4)))

simplify82.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	56	77
1	134	68
2	470	68
3	2003	63
4	5002	63
done	5002	63

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

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:

3.0ms	(cbrt (pow (fma (pow x 4.0) 9.0 (- (pow y 4))) 3))
0.0ms	(fma (pow x 4.0) 9.0 (- (pow y 4)))

series641.0ms

Counts

2 → 6

Calls

2 calls:

318.0ms	(cbrt (pow (fma (pow x 4.0) 9.0 (- (pow y 4))) 3))
323.0ms	(fma (pow x 4.0) 9.0 (- (pow y 4)))

simplify46.0ms

Counts

39 → 39

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	112	265
1	337	265
2	1261	265
3	5001	255
done	5001	255

prune102.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	10
1	24	10
2	28	10
3	28	10
done	28	10

end0.0ms

sample511.0ms

Algorithm

intervals

Results

263.0ms	8000×	body	80	valid
79.0ms	8000×	pre	80	true