Details

analyze119.0ms

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

sample22.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

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: 5.8b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x.re 3) (* x.re (* x.im (* x.im -3))))
0.2b	(* x.im (* x.im -3))
6.1b	(* x.re (* x.im (* 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×	`+-commutative` `cube-mult` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

9.0ms	(+ (pow x.re 3) (* x.re (* x.im (* x.im -3))))
5.0ms	(* x.im (* x.im -3))
6.0ms	(* x.re (* x.im (* x.im -3)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (pow x.re 3) (* x.re (* x.im (* x.im -3))))
3.0ms	(* x.im (* x.im -3))
7.0ms	(* x.re (* x.im (* x.im -3)))

simplify27.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4963	511
1	4963	511

prune84.0ms

Filtered

33 candidates to 60 candidates (-81.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	55	7	62

Merged error: 0.0b

Counts

62 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`+-commutative` `flip3-+` `associate-r` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 33

Calls

2 calls:

8.0ms	(+ (pow x.re 3) (* (* x.re x.im) (* x.im -3)))
6.0ms	(* (* x.re x.im) (* x.im -3))

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (pow x.re 3) (* (* x.re x.im) (* x.im -3)))
7.0ms	(* (* x.re x.im) (* x.im -3))

simplify48.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4974	396
1	4974	396

prune55.0ms

Filtered

22 candidates to 39 candidates (-77.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	39	7	46

Merged error: 0.0b

Counts

46 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
4.5b	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)
13.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

series79.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x.re)
21.0ms	(cbrt x.re)
22.0ms	(cbrt x.re)
12.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

simplify50.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4973	443
1	4973	443

prune77.0ms

Filtered

42 candidates to 79 candidates (-88.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

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

Merged error: 0.0b

Counts

86 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x.re 3) (* (* x.re (* x.im x.im)) -3))
0.2b	(* (* x.re (* x.im x.im)) -3)
6.1b	(* x.re (* x.im x.im))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

9.0ms	(+ (pow x.re 3) (* (* x.re (* x.im x.im)) -3))
7.0ms	(* (* x.re (* x.im x.im)) -3)
5.0ms	(* x.re (* x.im x.im))

series26.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (pow x.re 3) (* (* x.re (* x.im x.im)) -3))
7.0ms	(* (* x.re (* x.im x.im)) -3)
10.0ms	(* x.re (* x.im x.im))

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4954	520
1	4954	520

prune58.0ms

Filtered

34 candidates to 60 candidates (-76.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

regimes144.0ms

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

sample506.0ms

Algorithm

intervals

Results

357.0ms	8000×	body	80	valid
19.0ms	432×	body	80	invalid

Details

analyze119.0ms

sample22.0ms

simplify116.0ms

prune9.0ms

localize7.0ms

rewrite21.0ms

series20.0ms

simplify27.0ms

prune84.0ms

localize7.0ms

rewrite15.0ms

series16.0ms

simplify48.0ms

prune55.0ms

localize14.0ms

rewrite18.0ms

series79.0ms

simplify50.0ms

prune77.0ms

localize7.0ms

rewrite22.0ms

series26.0ms

simplify48.0ms

prune58.0ms

regimes144.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample506.0ms

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