Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4870	15
1	4870	15

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

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

Counts

1 → 13

Calls

1 calls:

5.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify57.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4937	327
1	4937	327

prune35.0ms

Filtered

15 candidates to 16 candidates (-6.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	1	17

Merged error: 52.0b

Counts

17 → 1

localize12.0ms

Local error

Found 1 expressions with local error:

23.0b

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

5.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4851	182
1	4851	182

prune34.0ms

Filtered

13 candidates to 14 candidates (-7.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Merged error: 52.0b

Counts

15 → 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 → 34

Calls

2 calls:

7.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
6.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4))

series142.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
71.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify42.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4935	576
1	4935	576

prune78.0ms

Filtered

30 candidates to 40 candidates (-33.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	1	41

Merged error: 52.0b

Counts

41 → 1

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	144	18
1	144	18

end0.0ms

sample541.0ms

Algorithm

intervals

Results

307.0ms	8000×	body	80	valid
143.0ms	8000×	pre	80	true

Details

analyze2.0ms

sample20.0ms

simplify83.0ms

prune6.0ms

localize9.0ms

rewrite5.0ms

series35.0ms

simplify57.0ms

prune35.0ms

localize12.0ms

rewrite6.0ms

series72.0ms

simplify39.0ms

prune34.0ms

localize15.0ms

rewrite13.0ms

series142.0ms

simplify42.0ms

prune78.0ms

simplify3.0ms

end0.0ms

sample541.0ms

Profiling