Details

analyze130.0ms

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
1.0ms	18×	body	80	invalid

simplify112.0ms

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: 8.3b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x.im (* x.im -3))
8.7b	(* x.re (* x.im (* x.im -3)))

rewrite11.0ms

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)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* x.im (* x.im -3))
7.0ms	(* 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

prune57.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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

prune28.0ms

Filtered

9 candidates to 25 candidates (-177.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	25	6	31

Merged error: 0.0b

Counts

31 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x.im x.im) -3)
8.7b	(* x.re (* (* x.im x.im) -3))

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:

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

simplify29.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5025	311

prune50.0ms

Filtered

24 candidates to 46 candidates (-91.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	47	5	52

Merged error: 0.0b

Counts

52 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.1b	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
7.8b	(* (- (* x.re x.re) (* x.im x.im)) x.re)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
4×	`flip3--` `flip3-+` `frac-sub` `flip--` `flip-+`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log` `difference-of-squares`

Counts

4 → 67

Calls

4 calls:

4.0ms	(+ (* x.re x.im) (* x.im x.re))
7.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
6.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
6.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* x.re x.im) (* x.im x.re))
9.0ms	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
7.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.im)
8.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.re)

simplify42.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4798	950
1	4798	950

prune88.0ms

Filtered

61 candidates to 79 candidates (-29.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

regimes143.0ms

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

sample546.0ms

Algorithm

intervals

Results

393.0ms	8000×	body	80	valid
20.0ms	422×	body	80	invalid

Details

analyze130.0ms

sample20.0ms

simplify112.0ms

prune9.0ms

localize8.0ms

rewrite11.0ms

series10.0ms

simplify37.0ms

prune57.0ms

localize10.0ms

rewrite6.0ms

series7.0ms

simplify34.0ms

prune28.0ms

localize8.0ms

rewrite13.0ms

series13.0ms

simplify29.0ms

prune50.0ms

localize14.0ms

rewrite25.0ms

series28.0ms

simplify42.0ms

prune88.0ms

regimes143.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample546.0ms

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