Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

328×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
4×	`associate-l` `distribute-lft-out`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

15.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify118.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	100	86
1	363	79
2	1051	79
3	2931	79
4	5001	79

prune36.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.3b	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
0.8b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
0.8b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

142×	`*-un-lft-identity`
88×	`sqrt-prod`
70×	`associate-l`
60×	`distribute-lft-out`
32×	`swap-sqr`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2` `associate-r`
9×	`flip3-+` `flip-+`
6×	`add-exp-log` `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×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 142

Calls

4 calls:

12.0ms	(+ (* x.re y.im) (* x.im y.re))
33.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
12.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
13.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x.re y.im) (* x.im y.re))
32.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
63.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
68.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify44.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	236	934
1	1000	842
2	5001	818

prune196.0ms

Filtered

154 candidates to 65 candidates (42.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	154	3	157

Merged error: 0.0b

Counts

157 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y.re x.im) (* y.im x.re))
0.3b	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
33.3b	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
20×	`cbrt-prod` `associate-l` `distribute-lft-out`
14×	`unpow-prod-down` `cube-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `pow-unpow` `add-cbrt-cube`
3×	`flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `rem-cbrt-cube` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cube-cbrt`

Counts

3 → 80

Calls

3 calls:

16.0ms	(+ (* y.re x.im) (* y.im x.re))
14.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
14.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

series195.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* y.re x.im) (* y.im x.re))
126.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
33.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	258	499
1	1250	476
2	5001	470

prune121.0ms

Filtered

89 candidates to 42 candidates (47.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Merged error: 0.0b

Counts

92 → 3

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	10	3
1	10	3

end0.0ms

sample488.0ms

Algorithm

intervals

Results

230.0ms

10391×

body

valid