Details

sample21.0ms

Algorithm

intervals

Results

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

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	15
1	23	15
2	57	15
3	136	15
4	280	15
5	511	15
6	1295	15
7	4331	15
done	5001	15

prune2.0ms

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)))

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)))

series169.0ms

Counts

1 → 3

Calls

1 calls:

169.0ms

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

simplify1.5s

Counts

19 → 19

Iterations

Useful iterations: 3 (393.0ms)

Iter	Nodes	Cost
0	54	414
1	154	383
2	536	349
3	2591	347
done	5000	347

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize13.0ms

Local error

Found 1 expressions with local error:

23.0b

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

rewrite5.0ms

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 → 12

Calls

1 calls:

5.0ms

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

series403.0ms

Counts

1 → 3

Calls

1 calls:

402.0ms

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

simplify847.0ms

Counts

15 → 15

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	44	216
1	108	207
2	308	185
3	1098	181
done	5000	181

prune43.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize17.0ms

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))

rewrite14.0ms

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:

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

series821.0ms

Counts

2 → 6

Calls

2 calls:

411.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
409.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify1.2s

Counts

41 → 41

Iterations

Useful iterations: 3 (271.0ms)

Iter	Nodes	Cost
0	78	780
1	185	628
2	560	571
3	2738	563
done	5000	563

prune103.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	19
1	21	19
2	24	19
3	28	19
done	28	19

end0.0ms

sample512.0ms

Algorithm

intervals

Results

274.0ms	8000×	body	80	valid
104.0ms	8000×	pre	80	true