Details

sample38.0ms

Algorithm

intervals

Results

12.0ms

320×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	11
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

12.0ms

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

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify1.6s

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
4	2549
3	890
2	281
1	92
0	33

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

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)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

12.0ms	(- (* x.re y.re) (* x.im y.im))
51.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
8.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
7.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* x.re y.re) (* x.im y.im))
53.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
158.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
135.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify684.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1154
1	274
0	113

prune404.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.3b	(pow (- (* x.re y.re) (* x.im y.im)) 3)
33.5b	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`cube-div` `pow1` `add-cbrt-cube` `add-exp-log`
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:

15.0ms	(- (* x.re y.re) (* x.im y.im))
8.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3)
8.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

series326.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* x.re y.re) (* x.im y.im))
210.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3)
74.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

simplify1.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1904
1	315
0	97

prune338.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes473.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

423.0ms

10329×

body

valid