Details

analyze520.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample24.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	44×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune6.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

6.0ms

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

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4935	141
1	4935	141

prune22.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

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

localize10.0ms

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))))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite21.0ms

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)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
33.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
36.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
34.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5334	1440

prune113.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Merged error: 0b

Counts

101 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series139.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
34.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
35.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
34.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify97.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4901	816
1	4901	816

prune98.0ms

Filtered

52 candidates to 64 candidates (-23.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
1.3b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series138.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
35.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
33.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
35.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify92.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4901	816
1	4901	816

prune138.0ms

Filtered

52 candidates to 64 candidates (-23.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	64	4	68

Merged error: 0b

Counts

68 → 4

regimes393.0ms

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	7
1	10	7

end0.0ms

analyze753.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample553.0ms

Algorithm

intervals

Results

252.0ms	8000×	body	80	valid
39.0ms	1306×	body	80	invalid

Details

analyze520.0ms

sample24.0ms

simplify4.0ms

prune6.0ms

localize9.0ms

rewrite6.0ms

series13.0ms

simplify46.0ms

prune22.0ms

localize10.0ms

rewrite21.0ms

series149.0ms

simplify51.0ms

prune113.0ms

localize16.0ms

rewrite13.0ms

series139.0ms

simplify97.0ms

prune98.0ms

localize17.0ms

rewrite14.0ms

series138.0ms

simplify92.0ms

prune138.0ms

regimes393.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze753.0ms

sample553.0ms

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