Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (48.0ms)

Iter	Nodes	Cost
0	11	15
1	25	15
2	60	15
3	150	15
4	320	14
5	626	14
6	1595	14
done	5000	14

prune4.0ms

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)))

rewrite7.0ms

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:

6.0ms

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

series167.0ms

Counts

1 → 3

Calls

1 calls:

167.0ms

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

simplify2.3s

Counts

29 → 29

Iterations

Useful iterations: 3 (569.0ms)

Iter	Nodes	Cost
0	85	606
1	228	549
2	786	509
3	4387	480
done	5000	480

prune86.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

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

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:

6.0ms

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

series400.0ms

Counts

1 → 3

Calls

1 calls:

400.0ms

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

simplify2.1s

Counts

25 → 25

Iterations

Useful iterations: 3 (551.0ms)

Iter	Nodes	Cost
0	92	490
1	202	385
2	649	330
3	3638	288
done	5000	288

prune56.0ms

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

rewrite15.0ms

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:

8.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
6.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4))

series829.0ms

Counts

2 → 6

Calls

2 calls:

418.0ms	(cbrt (pow (- (* 9.0 (pow x 4.0)) (pow y 4)) 3))
410.0ms	(- (* 9.0 (pow x 4.0)) (pow y 4))

simplify426.0ms

Counts

53 → 53

Iterations

Useful iterations: done (424.0ms)

Iter	Nodes	Cost
0	127	1080
1	280	823
2	947	748
done	5000	732

prune131.0ms

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

sample493.0ms

Algorithm

intervals

Results

260.0ms	8000×	body	80	valid
101.0ms	8000×	pre	80	true