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%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

sample21.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	14×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	299	11
1	299	11

prune8.0ms

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: 8.4b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.1b	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
7.9b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite23.0ms

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`
5×	`flip3-+` `flip-+`
4×	`frac-add`
3×	`flip3--` `flip--`
2×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 67

Calls

4 calls:

3.0ms	(+ (* x.re x.im) (* x.im x.re))
5.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
7.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
6.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series32.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* x.re x.im) (* x.im x.re))
4.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
13.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
11.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify58.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4863	853
1	4863	853

prune115.0ms

Filtered

62 candidates to 79 candidates (-27.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	73	8	81

Merged error: 0b

Counts

81 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x.re (* x.re (* x.im 3)))
0.2b	(* x.re (* 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:

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

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x.re (* x.re (* x.im 3)))
3.0ms	(* x.re (* x.im 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5203	305

prune58.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	45	8	53

Merged error: 0b

Counts

53 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re (* x.re x.im)) (pow x.im 3))
0.1b	(* x.re (* x.re x.im))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.1b	(+ (- (* x.re (* x.re x.im)) (pow x.im 3)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

6.0ms	(- (* x.re (* x.re x.im)) (pow x.im 3))
4.0ms	(* x.re (* x.re x.im))
5.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
11.0ms	(+ (- (* x.re (* x.re x.im)) (pow x.im 3)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series29.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* x.re (* x.re x.im)) (pow x.im 3))
4.0ms	(* x.re (* x.re x.im))
4.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
12.0ms	(+ (- (* x.re (* x.re x.im)) (pow x.im 3)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify34.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4966	864
1	4966	864

prune98.0ms

Filtered

53 candidates to 79 candidates (-49.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	79	8	87

Merged error: 0b

Counts

87 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x.re (* x.re x.im))) (cbrt (* x.re (* x.re x.im))))
24.7b	(cbrt (* x.re (* x.re x.im)))
24.7b	(cbrt (* x.re (* x.re x.im)))
24.7b	(cbrt (* x.re (* x.re x.im)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* x.re (* x.re x.im))) (cbrt (* x.re (* x.re x.im))))
3.0ms	(cbrt (* x.re (* x.re x.im)))
3.0ms	(cbrt (* x.re (* x.re x.im)))
4.0ms	(cbrt (* x.re (* x.re x.im)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (* x.re (* x.re x.im))) (cbrt (* x.re (* x.re x.im))))
17.0ms	(cbrt (* x.re (* x.re x.im)))
20.0ms	(cbrt (* x.re (* x.re x.im)))
18.0ms	(cbrt (* x.re (* x.re x.im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5090	484

prune94.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	70	8	78

Merged error: 0b

Counts

78 → 8

regimes153.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

end0.0ms

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%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

sample519.0ms

Algorithm

intervals

Results

370.0ms	8000×	body	80	valid
27.0ms	588×	body	80	invalid

Details

analyze130.0ms

sample21.0ms

simplify12.0ms

prune8.0ms

localize11.0ms

rewrite23.0ms

series32.0ms

simplify58.0ms

prune115.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify38.0ms

prune58.0ms

localize10.0ms

rewrite28.0ms

series29.0ms

simplify34.0ms

prune98.0ms

localize15.0ms

rewrite17.0ms

series80.0ms

simplify37.0ms

prune94.0ms

regimes153.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze130.0ms

sample519.0ms

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