Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

273×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	36	7
2	48	7
3	66	7
4	72	7
5	72	7

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: 23.6b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* x.im y.re) (* x.re y.im))
23.2b	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `div-sub` `clear-num` `flip-+` `div-inv`

Counts

2 → 12

Calls

2 calls:

4.0ms	(- (* x.im y.re) (* x.re y.im))
8.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (* x.im y.re) (* x.re y.im))
83.0ms	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify153.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	134	103
1	442	103
2	1466	103
3	4800	102
4	5001	102

prune52.0ms

Filtered

18 candidates to 14 candidates (77.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	12	6	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	7	19

Merged error: 23.0b

Counts

19 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x.im y.re) (* x.re y.im))
0.3b	(/ 1 (+ (* y.re y.re) (* y.im y.im)))
23.0b	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-times`
5×	`flip3--` `clear-num` `flip--`
4×	`frac-2neg` `associate-/r/`
3×	`associate-r/` `associate-r*`
2×	`flip3-+` `associate-*l/` `un-div-inv` `flip-+` `div-inv`
1×	`sub-neg` `*-commutative` `inv-pow`

Counts

3 → 27

Calls

3 calls:

4.0ms	(- (* x.im y.re) (* x.re y.im))
4.0ms	(/ 1 (+ (* y.re y.re) (* y.im y.im)))
9.0ms	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))

series160.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (* x.im y.re) (* x.re y.im))
37.0ms	(/ 1 (+ (* y.re y.re) (* y.im y.im)))
85.0ms	(* (- (* x.im y.re) (* x.re y.im)) (/ 1 (+ (* y.re y.re) (* y.im y.im))))

simplify98.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	161	213
1	686	213
2	3346	213
3	5001	213

prune75.0ms

Filtered

36 candidates to 19 candidates (52.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	33	10	43

Merged error: 23.0b

Counts

43 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x.im y.re) (* x.re y.im))
0.4b	(/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im))))
23.2b	(/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
4×	`clear-num` `associate-/l/`
3×	`flip3--` `frac-2neg` `associate-/r*` `flip--` `div-inv`
2×	`flip3-+` `flip-+`
1×	`sub-neg` `remove-double-div` `inv-pow`

Counts

3 → 24

Calls

3 calls:

4.0ms	(- (* x.im y.re) (* x.re y.im))
8.0ms	(/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im))))
8.0ms	(/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (* x.im y.re) (* x.re y.im))
140.0ms	(/ 1 (/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im))))
56.0ms	(/ (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))

simplify62.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	158	166
1	540	165
2	2203	162
3	5001	162

prune91.0ms

Filtered

33 candidates to 23 candidates (69.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	1	6	7
Picked	1	0	1
Done	1	1	2
Total	34	9	43

Merged error: 22.9b

Counts

43 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* x.im y.re) (* x.re y.im))
0.4b	(/ 1 (* (+ (* y.re y.re) (* y.im y.im)) (/ 1 (- (* x.im y.re) (* x.re y.im)))))
0.7b	(/ 1 (- (* x.im y.re) (* x.re y.im)))
23.1b	(* (+ (* y.re y.re) (* y.im y.im)) (/ 1 (- (* x.im y.re) (* x.re y.im))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-/r/`
12×	`frac-times`
10×	`clear-num`
8×	`frac-2neg` `flip3-+` `flip-+`
6×	`associate-r/` `associate-r*`
5×	`associate-/r*`
4×	`flip3--` `associate-*l/` `un-div-inv` `flip--` `div-inv`
2×	`*-commutative` `inv-pow`
1×	`sub-neg`

Counts

4 → 49

Calls

4 calls:

4.0ms	(- (* x.im y.re) (* x.re y.im))
10.0ms	(/ 1 (* (+ (* y.re y.re) (* y.im y.im)) (/ 1 (- (* x.im y.re) (* x.re y.im)))))
4.0ms	(/ 1 (- (* x.im y.re) (* x.re y.im)))
9.0ms	(* (+ (* y.re y.re) (* y.im y.im)) (/ 1 (- (* x.im y.re) (* x.re y.im))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* x.im y.re) (* x.re y.im))
138.0ms	(/ 1 (* (+ (* y.re y.re) (* y.im y.im)) (/ 1 (- (* x.im y.re) (* x.re y.im)))))
27.0ms	(/ 1 (- (* x.im y.re) (* x.re y.im)))
55.0ms	(* (+ (* y.re y.re) (* y.im y.im)) (/ 1 (- (* x.im y.re) (* x.re y.im))))

simplify108.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	209	366
1	874	357
2	4254	341
3	5001	341

prune121.0ms

Filtered

61 candidates to 39 candidates (63.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	60	10	70

Merged error: 22.9b

Counts

70 → 10

regimes164.0ms

Accuracy

0% (0.9b remaining)

Error of 26.2b against oracle of 25.3b and baseline of 26.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample506.0ms

Algorithm

intervals

Results

297.0ms

8478×

body

valid