Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify84.0ms

Algorithm

egg-herbie

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

prune8.0ms

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)))

series168.0ms

Counts

1 → 3

Calls

1 calls:

168.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (29.0ms)

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

prune73.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize11.0ms

Local error

Found 1 expressions with local error:

23.0b

(- (* 9.0 (pow x 4)) (pow y 4))

rewrite15.0ms

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:

14.0ms

(- (* 9.0 (pow x 4)) (pow y 4))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(- (* 9.0 (pow x 4)) (pow y 4))

simplify120.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	179	216
1	622	171
2	3879	160
3	5001	158

prune61.0ms

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 (- (* 9.0 (pow x 4)) (pow y 4)) 3))
23.0b	(- (* 9.0 (pow x 4)) (pow y 4))

rewrite32.0ms

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:

17.0ms	(cbrt (pow (- (* 9.0 (pow x 4)) (pow y 4)) 3))
14.0ms	(- (* 9.0 (pow x 4)) (pow y 4))

series116.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(cbrt (pow (- (* 9.0 (pow x 4)) (pow y 4)) 3))
58.0ms	(- (* 9.0 (pow x 4)) (pow y 4))

simplify38.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	259	426
1	1007	387
2	5001	374

prune131.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	16	8

end0.0ms

sample532.0ms

Algorithm

intervals

Results

268.0ms	8000×	body	80	valid
85.0ms	8000×	pre	80	true