Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

344×

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

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

rewrite4.0ms

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))

series39.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify76.0ms

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

prune30.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.3b	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
1.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))
1.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite23.0ms

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:

3.0ms	(- (* x.re y.re) (* x.im y.im))
11.0ms	(* (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)))
3.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* x.re y.re) (* x.im y.im))
35.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
82.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
83.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify190.0ms

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

prune198.0ms

Filtered

111 candidates to 65 candidates (58.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fabs (cbrt (- (* x.re y.re) (* x.im y.im)))) (sqrt (cbrt (- (* x.re y.re) (* x.im y.im))))) (sqrt (- (* x.re y.re) (* x.im y.im))))
1.8b	(sqrt (- (* x.re y.re) (* x.im y.im)))
2.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))
2.2b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div`
10×	`pow1` `add-sqr-sqrt` `cbrt-div`
9×	`add-exp-log` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `add-cbrt-cube` `flip--`
8×	`associate-*r/`
6×	`cbrt-prod` `associate-r` `sqrt-prod`
4×	`frac-times` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `associate-*l/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative`

Counts

4 → 70

Calls

4 calls:

12.0ms	(* (* (fabs (cbrt (- (* x.re y.re) (* x.im y.im)))) (sqrt (cbrt (- (* 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)))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
6.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (* (fabs (cbrt (- (* x.re y.re) (* x.im y.im)))) (sqrt (cbrt (- (* x.re y.re) (* x.im y.im))))) (sqrt (- (* x.re y.re) (* x.im y.im))))
82.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
108.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
111.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify53.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	482	1121
1	1747	1024
2	5002	1000

prune289.0ms

Filtered

82 candidates to 67 candidates (81.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	3	85

Merged error: 0.0b

Counts

85 → 3

regimes127.0ms

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

sample499.0ms

Algorithm

intervals

Results

246.0ms

10421×

body

valid