Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

329×

body

valid

simplify5.0ms

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:

2.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify75.0ms

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

prune32.0ms

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.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(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:

19.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (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)))
2.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
117.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
113.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
136.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify94.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (84.0ms)

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

prune271.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite10.0ms

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:

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

series630.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
116.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
284.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
115.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify92.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (85.0ms)

Iter	Nodes	Cost
0	180	576
1	498	540
2	1453	516
3	3389	512
4	5001	504

prune266.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes131.0ms

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

sample519.0ms

Algorithm

intervals

Results

254.0ms

10541×

body

valid