Details

sample22.0ms

Algorithm

intervals

Results

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

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (55.0ms)

Iter	Nodes	Cost
0	11	15
1	25	15
2	60	15
3	150	15
4	324	14
5	656	14
6	1490	14
7	4662	14
done	5001	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize14.0ms

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)))

series175.0ms

Counts

1 → 3

Calls

1 calls:

175.0ms

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

simplify1.9s

Counts

29 → 29

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	85	606
1	234	568
2	745	504
3	3581	480
done	5000	479

prune90.0ms

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

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series314.0ms

Counts

1 → 3

Calls

1 calls:

314.0ms

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

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: 4 (177.0ms)

Iter	Nodes	Cost
0	31	155
1	56	155
2	123	137
3	377	134
4	1314	130
done	5001	130

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`unpow-prod-down` `cube-prod`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `fma-udef` `sqr-pow`

Counts

2 → 33

Calls

2 calls:

1.0ms	(cbrt (pow (fma (pow x 4.0) 9.0 (- (pow y 4))) 3))
0.0ms	(fma (pow x 4.0) 9.0 (- (pow y 4)))

series602.0ms

Counts

2 → 6

Calls

2 calls:

303.0ms	(cbrt (pow (fma (pow x 4.0) 9.0 (- (pow y 4))) 3))
299.0ms	(fma (pow x 4.0) 9.0 (- (pow y 4)))

simplify919.0ms

Counts

39 → 39

Iterations

Useful iterations: done (918.0ms)

Iter	Nodes	Cost
0	61	666
1	112	537
2	262	488
3	907	482
done	5000	474

prune115.0ms

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	20	19
2	23	19
3	27	19
done	27	19

end0.0ms

sample525.0ms

Algorithm

intervals

Results

288.0ms	8000×	body	80	valid
100.0ms	8000×	pre	80	true