Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

336×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	20	7
3	24	7
done	24	7

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))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

3.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify979.0ms

Counts

19 → 19

Iterations

Useful iterations: 4 (356.0ms)

Iter	Nodes	Cost
0	39	202
1	103	193
2	313	192
3	886	192
4	2035	187
done	5000	187

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))))
1.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.8b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite30.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 95

Calls

4 calls:

20.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
2.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series472.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
112.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
118.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
115.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.6s

Counts

107 → 107

Iterations

Useful iterations: 3 (525.0ms)

Iter	Nodes	Cost
0	133	2138
1	321	1959
2	994	1835
3	3323	1655
done	5001	1655

prune273.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.2b	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
1.0b	(sqrt (- (* x.re y.re) (* x.im y.im)))
1.0b	(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite37.0ms

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×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `fma-neg` `sqrt-unprod` `diff-log` `prod-diff` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

3.0ms	(- (* x.re y.re) (* x.im y.im))
22.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
4.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
5.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* x.re y.re) (* x.im y.im))
34.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
80.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
82.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify2.6s

Counts

121 → 121

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	123	2204
1	261	1565
2	849	1452
3	4137	1389
done	5000	1382

prune277.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample476.0ms

Algorithm

intervals

Results

220.0ms

10532×

body

valid