Details

sample34.0ms

Algorithm

intervals

Results

12.0ms

332×

body

valid

simplify23.0ms

Counts: 1 → 1

prune2.0ms

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

rewrite12.0ms

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:

12.0ms

(- (* 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

prune52.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.3b	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
0.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))
0.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite439.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

14.0ms	(- (* x.re y.re) (* x.im y.im))
387.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
14.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
15.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* x.re y.re) (* x.im y.im))
58.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
131.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
146.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify528.0ms

Counts: 111 → 111

prune335.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (- (* x.re y.re) (* x.im y.im)))) (sqrt (- (* x.re y.re) (* x.im y.im))))
0.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))
1.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `sqrt-prod`
6×	`add-exp-log` `cbrt-prod` `associate-r` `add-cbrt-cube`
4×	`cbrt-div` `flip3--` `sqrt-div` `flip--` `add-log-exp`
3×	`associate-l`
2×	`pow1/3` `associate-*r/` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 65

Calls

4 calls:

46.0ms	(* (fabs (cbrt (- (* x.re y.re) (* x.im y.im)))) (sqrt (- (* x.re y.re) (* x.im y.im))))
15.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
10.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
15.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series645.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (fabs (cbrt (- (* x.re y.re) (* x.im y.im)))) (sqrt (- (* x.re y.re) (* x.im y.im))))
132.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
178.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
139.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify2.0s

Counts: 77 → 77

prune439.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify26.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

475.0ms

10505×

body

valid