Details

sample24.0ms

Algorithm

intervals

Results

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

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (14.0ms)

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

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize8.0ms

Local error

Found 1 expressions with local error:

62.0b

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

rewrite6.0ms

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:

5.0ms

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

series165.0ms

Counts

1 → 3

Calls

1 calls:

165.0ms

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

simplify31.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (27.0ms)

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

prune68.0ms

Filtered

29 candidates to 24 candidates (82.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize12.0ms

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)))

series306.0ms

Counts

1 → 3

Calls

1 calls:

306.0ms

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

simplify78.0ms

Algorithm

egg-herbie

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

prune41.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize15.0ms

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)))

rewrite2.0ms

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

series624.0ms

Counts

2 → 6

Calls

2 calls:

314.0ms	(cbrt (pow (fma (pow x 4.0) 9.0 (- (pow y 4))) 3))
310.0ms	(fma (pow x 4.0) 9.0 (- (pow y 4)))

simplify45.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (41.0ms)

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

prune95.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample488.0ms

Algorithm

intervals

Results

272.0ms	8000×	body	80	valid
89.0ms	8000×	pre	80	true