Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

326×

body

valid

simplify19.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

9.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify1.8s

Counts: 14 → 14

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
1.2b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.2b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.2b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

58.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
5.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
120.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
142.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
122.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify1.2s

Counts: 99 → 99

prune309.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.2b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.2b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.2b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series541.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
117.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
146.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
137.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify1.2s

Counts: 64 → 64

prune306.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify21.0ms

end0.0ms

sample986.0ms

Algorithm

intervals

Results

378.0ms

10414×

body

valid