Details

sample28.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify789.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	23	15
2	58	15
3	159	15
4	417	15
5	1566	15
done	5000	15

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize13.0ms

Local error

Found 1 expressions with local error:

62.0b

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

10.0ms

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

series214.0ms

Counts

1 → 3

Calls

1 calls:

214.0ms

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

simplify545.0ms

Counts

19 → 19

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	54	414
1	155	383
2	712	349
done	5000	349

prune109.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize28.0ms

Local error

Found 1 expressions with local error:

23.0b

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

9.0ms

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

series595.0ms

Counts

1 → 3

Calls

1 calls:

595.0ms

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

simplify810.0ms

Counts

15 → 15

Iterations

Useful iterations: 3 (258.0ms)

Iter	Nodes	Cost
0	44	216
1	107	207
2	322	185
3	1369	181
done	5000	181

prune95.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize47.0ms

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))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

27.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
18.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4))

series1.2s

Counts

2 → 6

Calls

2 calls:

607.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
585.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify755.0ms

Counts

41 → 41

Iterations

Useful iterations: done (753.0ms)

Iter	Nodes	Cost
0	78	780
1	205	628
2	1052	571
done	5000	563

prune188.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	19
1	21	19
2	25	19
3	29	19
done	29	19

end0.0ms

sample1.1s

Algorithm

intervals

Results

541.0ms	8000×	body	80	valid
244.0ms	8000×	pre	80	true