Details

sample45.0ms

Algorithm

intervals

Results

16.0ms

327×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

1 calls:

17.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify3.1s

Counts

14 → 14

Iterations

Useful iterations: 3 (319.0ms)

Iter	Nodes	Cost
0	32	160
1	101	155
2	342	155
3	927	141
4	2510	141
done	5001	141

prune58.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))))
1.5b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.5b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.5b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite100.0ms

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×	`frac-times` `add-cbrt-cube` `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 → 87

Calls

4 calls:

75.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
10.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
7.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series804.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
220.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
206.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
186.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify4.0s

Counts

99 → 99

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	126	2030
1	313	1881
2	834	1751
3	2021	1590
4	4858	1513
done	5001	1452

prune365.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.5b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.5b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.5b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

10.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
7.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series647.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
138.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
168.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
172.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify2.4s

Counts

64 → 64

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	67	1024
1	180	988
2	462	912
3	1144	888
4	2396	836
done	5000	824

prune412.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes201.0ms

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	10	7
done	10	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

913.0ms

10393×

body

valid