Details

sample25.0ms

Algorithm

intervals

Results

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

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	28	7
1	63	6
2	146	6
3	362	6
4	1020	6
5	3618	6
6	5001	6

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 52.0b

Counts

2 → 1

localize13.0ms

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:

7.0ms

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

series413.0ms

Counts

1 → 3

Calls

1 calls:

412.0ms

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

simplify130.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	212	220
1	758	177
2	4486	169
3	5001	168

prune60.0ms

Filtered

25 candidates to 19 candidates (76.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	1	26

Merged error: 52.0b

Counts

26 → 1

localize14.0ms

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))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-diff`
6×	`unpow-prod-down`
4×	`add-log-exp`
3×	`cube-prod`
2×	`pow1` `add-exp-log` `cube-div` `expm1-log1p-u` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `sub-neg` `fma-neg` `pow1/3` `diff-log` `unpow3` `rem-cbrt-cube`

Counts

2 → 47

Calls

2 calls:

7.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
7.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4.0))

series831.0ms

Counts

2 → 6

Calls

2 calls:

419.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4.0)) 3))
412.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	291	434
1	1119	398
2	5002	396

prune134.0ms

Filtered

53 candidates to 38 candidates (71.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	1	54

Merged error: 52.0b

Counts

54 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	16	8

end0.0ms

sample570.0ms

Algorithm

intervals

Results

334.0ms	8000×	body	80	valid
102.0ms	8000×	pre	80	true