Details

analyze125.0ms

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

sample23.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	13×	body	80	invalid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

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: 7.6b

Counts

2 → 2

localize8.0ms

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))
7.9b	(* 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:

10.0ms	(+ (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)))

simplify29.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4963	511
1	4963	511

prune101.0ms

Filtered

33 candidates to 60 candidates (-81.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	52	10	62

Merged error: 0.1b

Counts

62 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow x.re 3) (* (* x.re x.im) (* x.im -3)))
0.3b	(* (* 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))

series19.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (pow x.re 3) (* (* x.re x.im) (* x.im -3)))
8.0ms	(* (* x.re x.im) (* x.im -3))

simplify52.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4974	396
1	4974	396

prune66.0ms

Filtered

20 candidates to 39 candidates (-95.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	39	10	49

Merged error: 0.1b

Counts

49 → 10

localize8.0ms

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)
7.9b	(* x.re (* (* x.im x.im) -3))

rewrite23.0ms

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` `cube-mult` `flip3-+` `sum-log` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

9.0ms	(+ (pow x.re 3) (* x.re (* (* x.im x.im) -3)))
5.0ms	(* (* x.im x.im) -3)
7.0ms	(* 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)
8.0ms	(* x.re (* (* x.im x.im) -3))

simplify51.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4939	523
1	4939	523

prune88.0ms

Filtered

34 candidates to 61 candidates (-79.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	62	9	71

Merged error: 0.1b

Counts

71 → 9

localize8.0ms

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)
7.9b	(* x.re (* x.im x.im))

rewrite23.0ms

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))

series23.0ms

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)
7.0ms	(* x.re (* x.im x.im))

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4954	520
1	4954	520

prune60.0ms

Filtered

34 candidates to 60 candidates (-76.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	60	9	69

Merged error: 0.0b

Counts

69 → 9

regimes119.0ms

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

sample532.0ms

Algorithm

intervals

Results

383.0ms	8000×	body	80	valid
17.0ms	366×	body	80	invalid

Details

analyze125.0ms

sample23.0ms

simplify120.0ms

prune9.0ms

localize8.0ms

rewrite21.0ms

series20.0ms

simplify29.0ms

prune101.0ms

localize7.0ms

rewrite15.0ms

series19.0ms

simplify52.0ms

prune66.0ms

localize8.0ms

rewrite23.0ms

series20.0ms

simplify51.0ms

prune88.0ms

localize8.0ms

rewrite23.0ms

series23.0ms

simplify50.0ms

prune60.0ms

regimes119.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample532.0ms

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