Details

analyze126.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14

sample20.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify209.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (207.0ms)

Iter	Nodes	Cost
0	5855	11

prune10.0ms

Filtered

1 candidates to 1 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: 8.6b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x.im (* x.im -3))
9.2b	(* x.re (* x.im (* x.im -3)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

5.0ms	(* x.im (* x.im -3))
6.0ms	(* x.re (* x.im (* x.im -3)))

series12.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* x.im (* x.im -3))
9.0ms	(* x.re (* x.im (* x.im -3)))

simplify35.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4936	299
1	4936	299

prune64.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	42	5	47

Merged error: 0.1b

Counts

47 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x.re x.im) (* x.im -3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l` `-commutative` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

6.0ms

(* (* x.re x.im) (* x.im -3))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (* x.re x.im) (* x.im -3))

simplify33.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5036	193

prune37.0ms

Filtered

11 candidates to 25 candidates (-127.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0.1b

Counts

30 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x.re (* x.im x.im)) -3)
9.2b	(* x.re (* x.im x.im))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 40

Calls

2 calls:

7.0ms	(* (* x.re (* x.im x.im)) -3)
5.0ms	(* x.re (* x.im x.im))

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (* x.re (* x.im x.im)) -3)
7.0ms	(* x.re (* x.im x.im))

simplify32.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5277	317

prune65.0ms

Filtered

24 candidates to 46 candidates (-91.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	44	7	51

Merged error: 0.0b

Counts

51 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x.re x.im) x.im)
0.2b	(* (* (* x.re x.im) x.im) -3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

5.0ms	(* (* x.re x.im) x.im)
6.0ms	(* (* (* x.re x.im) x.im) -3)

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* (* x.re x.im) x.im)
7.0ms	(* (* (* x.re x.im) x.im) -3)

simplify35.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5522	307

prune42.0ms

Filtered

24 candidates to 45 candidates (-87.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

regimes106.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	11
1	33	11

end0.0ms

sample557.0ms

Algorithm

intervals

Results

391.0ms	8000×	body	80	valid
24.0ms	410×	body	80	invalid

Details

analyze126.0ms

sample20.0ms

simplify209.0ms

prune10.0ms

localize7.0ms

rewrite12.0ms

series12.0ms

simplify35.0ms

prune64.0ms

localize7.0ms

rewrite7.0ms

series7.0ms

simplify33.0ms

prune37.0ms

localize7.0ms

rewrite13.0ms

series14.0ms

simplify32.0ms

prune65.0ms

localize7.0ms

rewrite12.0ms

series15.0ms

simplify35.0ms

prune42.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample557.0ms

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