Details

sample25.0ms

Algorithm

intervals

Results

9.0ms

336×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify1.7s

Counts

15 → 15

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	33	168
1	92	163
2	281	149
3	890	149
4	2549	149
done	5001	149

prune108.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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

rewrite86.0ms

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` `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 → 87

Calls

4 calls:

55.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
9.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
9.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
9.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series775.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
208.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
167.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
209.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify779.0ms

Counts

99 → 99

Iterations

Useful iterations: done (773.0ms)

Iter	Nodes	Cost
0	130	2048
1	332	1899
2	1109	1775
done	5001	1658

prune631.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt (- (* y.re x.re) (* x.im y.im))) (* 2 3))
1.5b	(cbrt (- (* y.re x.re) (* x.im y.im)))
1.5b	(cbrt (- (* x.re y.re) (* x.im y.im)))
26.3b	(cbrt (pow (cbrt (- (* y.re x.re) (* x.im y.im))) (* 2 3)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`unpow-prod-down`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `add-cbrt-cube` `pow1/3` `add-log-exp`
2×	`pow-pow` `flip3--` `flip--` `sqr-pow`
1×	`pow-to-exp` `pow-unpow` `pow-exp`

Counts

4 → 63

Calls

4 calls:

18.0ms	(pow (cbrt (- (* y.re x.re) (* x.im y.im))) (* 2 3))
9.0ms	(cbrt (- (* y.re x.re) (* x.im y.im)))
9.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
16.0ms	(cbrt (pow (cbrt (- (* y.re x.re) (* x.im y.im))) (* 2 3)))

series1.4m

Counts

4 → 12

Calls

4 calls:

1.4m	(pow (cbrt (- (* y.re x.re) (* x.im y.im))) (* 2 3))
194.0ms	(cbrt (- (* y.re x.re) (* x.im y.im)))
171.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
196.0ms	(cbrt (pow (cbrt (- (* y.re x.re) (* x.im y.im))) (* 2 3)))

simplify3.0s

Counts

75 → 75

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	156	1399
1	411	1177
2	1206	1100
3	4729	995
done	5000	995

prune527.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.5b	(cbrt (+ (* x.re y.re) (* x.im y.im)))
3.8b	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
26.3b	(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 53

Calls

4 calls:

9.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
5.0ms	(cbrt (+ (* x.re y.re) (* x.im y.im)))
24.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
25.0ms	(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

series696.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
154.0ms	(cbrt (+ (* x.re y.re) (* x.im y.im)))
164.0ms	(- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
206.0ms	(cbrt (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))))

simplify845.0ms

Counts

65 → 65

Iterations

Useful iterations: done (842.0ms)

Iter	Nodes	Cost
0	148	1320
1	371	1240
2	1526	1093
done	5001	1076

prune567.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes438.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

428.0ms

10455×

body

valid