Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

330×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3

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))

rewrite3.0ms

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:

3.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify72.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	78
1	285	71
2	895	71
3	2136	71
4	5001	71

prune34.0ms

Pruning

3 alts after pruning (2 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))))
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)))

rewrite28.0ms

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:

18.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
111.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
109.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
113.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify100.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	310	1067
1	1065	1000
2	4162	924
3	5001	915

prune259.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

2.0ms	(- (* x.re y.re) (* x.im y.im))
20.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
3.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
4.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* x.re y.re) (* x.im y.im))
41.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
88.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
87.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify189.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	245	786
1	918	714
2	4975	688
3	5001	688

prune204.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample475.0ms

Algorithm

intervals

Results

225.0ms

10370×

body

valid