Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify114.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	100	74
1	363	67
2	1051	67
3	2931	67
4	5001	67

prune25.0ms

Filtered

14 candidates to 12 candidates (85.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.2b	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
1.3b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.3b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite24.0ms

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×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

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

series193.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x.re y.im) (* x.im y.re))
30.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
66.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
66.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify43.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	236	768
1	962	698
2	5001	674

prune186.0ms

Filtered

110 candidates to 65 candidates (59.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0b

Counts

112 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (* (fabs (cbrt (+ (* x.re y.im) (* x.im y.re)))) (sqrt (cbrt (+ (* x.re y.im) (* x.im y.re))))))
1.3b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.9b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.9b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div`
10×	`pow1` `add-sqr-sqrt` `cbrt-div`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`associate-*r/`
6×	`cbrt-prod` `associate-l` `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-r` `*-commutative`

Counts

4 → 70

Calls

4 calls:

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

series429.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (* (fabs (cbrt (+ (* x.re y.im) (* x.im y.re)))) (sqrt (cbrt (+ (* x.re y.im) (* x.im y.re))))))
69.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
102.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
101.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify46.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	442	1109
1	1422	1012
2	5001	992

prune280.0ms

Filtered

82 candidates to 69 candidates (84.1%)

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: 0b

Counts

85 → 3

regimes129.0ms

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

sample522.0ms

Algorithm

intervals

Results

276.0ms

10419×

body

valid