Details

sample24.0ms

Algorithm

intervals

Results

14.0ms

328×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	24
1	24
0	7

prune5.0ms

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 12

Calls

1 calls:

7.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify1.6s

Counts

15 → 15

Iterations

Iter	Nodes
4	3050
3	1236
2	476
1	163
0	33

prune115.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
0.6b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
0.6b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
0.6b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

52.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
4.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series635.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
115.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
144.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
181.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify958.0ms

Counts

103 → 103

Iterations

Iter	Nodes
3	2820
2	1273
1	575
0	128

prune928.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.1b	(* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re)))
0.3b	(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
37.3b	(cbrt (* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re))))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `rem-cbrt-cube`

Counts

4 → 142

Calls

4 calls:

12.0ms	(+ (* x.re y.im) (* x.im y.re))
114.0ms	(* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re)))
58.0ms	(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
61.0ms	(cbrt (* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* x.re y.im) (* x.im y.re))
203.0ms	(* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re)))
69.0ms	(* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re)))
47.0ms	(cbrt (* (* (+ (* x.re y.im) (* x.im y.re)) (+ (* x.re y.im) (* x.im y.re))) (+ (* x.re y.im) (* x.im y.re))))

simplify1.2s

Counts

154 → 154

Iterations

Iter	Nodes
2	4617
1	1033
0	197

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes309.0ms

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
2	10
1	10
0	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

708.0ms

10400×

body

valid