Details

sample21.0ms

Algorithm

intervals

Results

6.0ms

337×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	18	7
done	18	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

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

Counts

1 → 12

Calls

1 calls:

8.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify1.4s

Counts

15 → 15

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	33	168
1	92	163
2	273	163
3	788	149
4	1796	149
done	5000	149

prune32.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))))
2.4b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.4b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.4b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite72.0ms

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:

51.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
123.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
125.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
126.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.3s

Counts

99 → 99

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	129	2048
1	309	1899
2	865	1775
3	2329	1614
done	5001	1530

prune243.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.4b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.4b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.4b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.4b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite25.0ms

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:

6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
124.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
124.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
123.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	70	1048
1	181	1012
2	489	944
3	1337	920
4	2881	856
done	5001	836

prune239.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes125.0ms

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

sample589.0ms

Algorithm

intervals

Results

220.0ms

10447×

body

valid