Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

328×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	18	7
done	18	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))

rewrite17.0ms

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:

16.0ms

(- (* x.re y.re) (* x.im y.im))

series92.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

(- (* x.re y.re) (* x.im y.im))

simplify2.3s

Counts

15 → 15

Iterations

Useful iterations: 3 (280.0ms)

Iter	Nodes	Cost
0	33	168
1	92	163
2	273	163
3	788	149
4	1796	149
done	5000	149

prune35.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.3b	(pow (- (* x.re y.re) (* x.im y.im)) 3)
34.7b	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

23.0ms	(- (* x.re y.re) (* x.im y.im))
19.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3)
10.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

series75.0ms

Calls

1 calls:

69.0ms

(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))