Details

analyze129.0ms

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	9×	body	80	invalid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	5291	11

prune9.0ms

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: 6.1b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x.im (* x.im -3))
6.0b	(* 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:

4.0ms	(* x.im (* x.im -3))
6.0ms	(* x.re (* x.im (* x.im -3)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* x.im (* x.im -3))
10.0ms	(* x.re (* x.im (* x.im -3)))

simplify37.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5061	299

prune64.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Merged error: 0.0b

Counts

47 → 8

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))

simplify34.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5282	193

prune31.0ms

Filtered

8 candidates to 25 candidates (-212.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	26	7	33

Merged error: 0.0b

Counts

33 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x.re (* x.im x.im)) -3)
6.0b	(* 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)
6.0ms	(* x.re (* x.im x.im))

simplify52.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5050	317

prune51.0ms

Filtered

22 candidates to 46 candidates (-109.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	2	2	4
Picked	0	1	1
Done	1	1	2
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

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:

4.0ms	(* (* x.re x.im) x.im)
6.0ms	(* (* (* x.re x.im) x.im) -3)

series14.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (* x.re x.im) x.im)
7.0ms	(* (* (* x.re x.im) x.im) -3)

simplify44.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5229	307

prune38.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	44	7	51

Merged error: 0.0b

Counts

51 → 7

regimes99.0ms

Accuracy

0% (0.1b 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 (0.0ms)

Iter	Nodes	Cost
0	13	11
1	13	11

end0.0ms

sample552.0ms

Algorithm

intervals

Results

393.0ms	8000×	body	80	valid
19.0ms	401×	body	80	invalid

Details

analyze129.0ms

sample20.0ms

simplify113.0ms

prune9.0ms

localize7.0ms

rewrite12.0ms

series13.0ms

simplify37.0ms

prune64.0ms

localize7.0ms

rewrite7.0ms

series7.0ms

simplify34.0ms

prune31.0ms

localize7.0ms

rewrite13.0ms

series14.0ms

simplify52.0ms

prune51.0ms

localize7.0ms

rewrite12.0ms

series14.0ms

simplify44.0ms

prune38.0ms

regimes99.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample552.0ms

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