Details

analyze132.0ms

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

sample19.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	16×	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

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: 5.9b

Counts

2 → 2

localize10.0ms

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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
5.6b	(* (- (* 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))
7.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
5.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
6.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series30.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify60.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4863	853
1	4863	853

prune112.0ms

Filtered

62 candidates to 79 candidates (-27.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	74	7	81

Merged error: 0.0b

Counts

81 → 7

localize10.0ms

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

rewrite25.0ms

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/`
5×	`flip3-+` `flip-+`
4×	`associate-r` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod`
3×	`sum-log`
2×	`+-commutative` `flip3--` `*-commutative` `flip--`
1×	`associate-+l-` `sub-neg` `associate-+l+` `diff-log` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

3.0ms	(+ (* x.re x.im) (* x.im x.re))
9.0ms	(+ (- (* x.re (* x.re x.im)) (pow x.im 3)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms	(* x.re (* x.re x.im))
6.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* x.re x.im) (* x.im x.re))
11.0ms	(+ (- (* x.re (* x.re x.im)) (pow x.im 3)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	(* x.re (* x.re x.im))
4.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

simplify35.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5020	778

prune103.0ms

Filtered

54 candidates to 79 candidates (-46.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	5	5
Picked	0	1	1
Done	1	0	1
Total	79	7	86

Merged error: 0.0b

Counts

86 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x.re (* x.re (* x.im 3))) (pow x.im 3))
0.2b	(* x.re (* x.re (* x.im 3)))
0.2b	(* x.re (* x.im 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 50

Calls

3 calls:

8.0ms	(- (* x.re (* x.re (* x.im 3))) (pow x.im 3))
7.0ms	(* x.re (* x.re (* x.im 3)))
5.0ms	(* x.re (* x.im 3))

series20.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(- (* x.re (* x.re (* x.im 3))) (pow x.im 3))
4.0ms	(* x.re (* x.re (* x.im 3)))
3.0ms	(* x.re (* x.im 3))

simplify36.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5033	512

prune70.0ms

Filtered

31 candidates to 59 candidates (-90.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	60	6	66

Merged error: 0.0b

Counts

66 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x.re (* (* x.re x.im) 3)) (pow x.im 3))
0.2b	(* x.re (* (* x.re x.im) 3))
0.2b	(* (* x.re x.im) 3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 50

Calls

3 calls:

7.0ms	(- (* x.re (* (* x.re x.im) 3)) (pow x.im 3))
6.0ms	(* x.re (* (* x.re x.im) 3))
5.0ms	(* (* x.re x.im) 3)

series19.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(- (* x.re (* (* x.re x.im) 3)) (pow x.im 3))
4.0ms	(* x.re (* (* x.re x.im) 3))
3.0ms	(* (* x.re x.im) 3)

simplify46.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5178	515

prune58.0ms

Filtered

33 candidates to 59 candidates (-78.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Merged error: 0.0b

Counts

65 → 6

regimes94.0ms

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	11	11
1	11	11

end0.0ms

analyze131.0ms

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

sample534.0ms

Algorithm

intervals

Results

378.0ms	8000×	body	80	valid
26.0ms	558×	body	80	invalid

Details

analyze132.0ms

sample19.0ms

simplify12.0ms

prune10.0ms

localize10.0ms

rewrite23.0ms

series30.0ms

simplify60.0ms

prune112.0ms

localize10.0ms

rewrite25.0ms

series23.0ms

simplify35.0ms

prune103.0ms

localize7.0ms

rewrite21.0ms

series20.0ms

simplify36.0ms

prune70.0ms

localize7.0ms

rewrite20.0ms

series19.0ms

simplify46.0ms

prune58.0ms

regimes94.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze131.0ms

sample534.0ms

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