Details

sample49.0ms

Algorithm

intervals

Results

20.0ms

331×

body

valid

simplify18.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

8.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify1.3s

Counts: 15 → 15

prune59.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y.re x.re) (* y.im x.im))
0.3b	(pow (- (* y.re x.re) (* y.im x.im)) 3)
36.8b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

rewrite60.0ms

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:

14.0ms	(- (* y.re x.re) (* y.im x.im))
25.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
18.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

series260.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (* y.re x.re) (* y.im x.im))
157.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
57.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

simplify590.0ms

Counts: 69 → 69

prune208.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2))
0.9b	(pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2))
7.4b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))
7.4b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow-unpow`
24×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
14×	`cbrt-prod`
12×	`unpow-prod-down`
6×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `div-inv`

Counts

4 → 84

Calls

4 calls:

24.0ms	(pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2))
21.0ms	(pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2))
10.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))
10.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))

series625.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2))
146.0ms	(pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2))
167.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))
138.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))

simplify1.7s

Counts: 96 → 96

prune419.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2))
7.4b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))
7.4b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))
7.4b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
12×	`unpow-prod-down`
9×	`times-frac`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 72

Calls

4 calls:

25.0ms	(pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2))
15.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))
16.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))
20.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2))
135.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))
124.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))
125.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) (/ 3 2)))

simplify1.6s

Counts: 84 → 84

prune512.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes221.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify17.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

478.0ms

10411×

body

valid