Details

sample22.0ms

Algorithm

intervals

Results

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

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	156	7
3	325	7
4	730	7
5	2401	7
6	5001	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 62.0b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

62.0b

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate--r+`
3×	`sub-neg` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 16

Calls

1 calls:

4.0ms

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

series175.0ms

Counts

1 → 3

Calls

1 calls:

174.0ms

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

simplify99.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	154	196
1	621	175
2	3097	173
3	5001	173

prune41.0ms

Filtered

19 candidates to 14 candidates (73.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	1	20

Merged error: 52.0b

Counts

20 → 1

localize12.0ms

Local error

Found 1 expressions with local error:

23.0b

(+ (* 9.0 (pow x 4.0)) (- (pow y 4)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `neg-sub0` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `*-un-lft-identity` `flip3-+` `unsub-neg` `neg-log` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

7.0ms

(+ (* 9.0 (pow x 4.0)) (- (pow y 4)))

series426.0ms

Counts

1 → 3

Calls

1 calls:

426.0ms

(+ (* 9.0 (pow x 4.0)) (- (pow y 4)))

simplify109.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	137	122
1	555	105
2	2812	100
3	5001	100

prune48.0ms

Filtered

18 candidates to 14 candidates (77.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	1	19

Merged error: 52.0b

Counts

19 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

6.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
5.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4))

series844.0ms

Counts

2 → 6

Calls

2 calls:

418.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
425.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify120.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	183	306
1	694	304
2	3707	298
3	5002	298

prune107.0ms

Filtered

41 candidates to 30 candidates (73.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	1	42

Merged error: 52.0b

Counts

42 → 1

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	10
1	25	10
2	29	10
3	29	10

end0.0ms

sample495.0ms

Algorithm

intervals

Results

262.0ms	8000×	body	80	valid
104.0ms	8000×	pre	80	true