Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

319×

body

valid

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify76.0ms

Counts: 15 → 15

prune45.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite80.0ms

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:

50.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
11.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
8.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series555.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
129.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
134.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
134.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify107.0ms

Counts: 99 → 99

prune287.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite31.0ms

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:

6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
12.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
137.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
136.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
136.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify101.0ms

Counts: 64 → 64

prune281.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite31.0ms

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:

6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
12.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
135.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
130.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
136.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify102.0ms

Counts: 64 → 64

prune252.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample815.0ms

Algorithm

intervals

Results

346.0ms

10464×

body

valid