Details

sample26.0ms

Algorithm

intervals

Results

9.0ms

320×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
2	18
1	11
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

7.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(- (* 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

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

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)))

rewrite103.0ms

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:

6.0ms	(- (* x.re y.re) (* x.im y.im))
64.0ms	(* (sqrt (- (* 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)))
15.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* x.re y.re) (* x.im y.im))
44.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
137.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
115.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify738.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1154
1	274
0	113

prune480.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

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))

rewrite48.0ms

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:

11.0ms	(- (* x.re y.re) (* x.im y.im))
15.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3)
20.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

series306.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* x.re y.re) (* x.im y.im))
189.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3)
65.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

simplify1.8s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1904
1	315
0	97

prune325.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes478.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

500.0ms

10329×

body

valid