Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

334×

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))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify120.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (5.0ms)

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

prune38.0ms

Filtered

14 candidates to 12 candidates (85.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
1.5b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.5b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.5b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite22.0ms

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:

10.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* 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)))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
100.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
99.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
104.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify90.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	314	1055
1	1028	988
2	3721	912
3	5003	903

prune272.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize8.0ms

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))))
0.9b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
0.9b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* x.re y.im) (* x.im y.re))
10.0ms	(* (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)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* 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))))
70.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
70.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify41.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	236	774
1	1000	698
2	5001	674

prune205.0ms

Filtered

110 candidates to 64 candidates (58.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	110	5	115

Merged error: 0.0b

Counts

115 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.9b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
0.9b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.5b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.5b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `cbrt-div` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

3.0ms	(sqrt (+ (* 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)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
68.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
110.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
104.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify66.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	238	534
1	684	498
2	2411	482
3	5002	478

prune240.0ms

Filtered

68 candidates to 58 candidates (85.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

regimes187.0ms

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

sample487.0ms

Algorithm

intervals

Results

228.0ms

10471×

body

valid