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

sample35.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	5291	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: 6.8b

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))
6.8b	(* x.re (* x.im (* x.im -3)))

rewrite22.0ms

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

series22.0ms

Counts

3 → 9

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)))

simplify27.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4963	511
1	4963	511

prune78.0ms

Filtered

33 candidates to 60 candidates (-81.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	5	60
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	56	6	62

Merged error: 0.1b

Counts

62 → 6

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))

rewrite16.0ms

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:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4974	396
1	4974	396

prune48.0ms

Filtered

21 candidates to 39 candidates (-85.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	39	6	45

Merged error: 0.0b

Counts

45 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
5.0b	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

rewrite20.0ms

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)
14.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

series83.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt x.re)
23.0ms	(cbrt x.re)
23.0ms	(cbrt x.re)
11.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

simplify48.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4973	443
1	4973	443

prune76.0ms

Filtered

41 candidates to 79 candidates (-92.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0.0b

Counts

85 → 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.im x.im) -3)
6.8b	(* x.re (* (* x.im x.im) -3))

rewrite24.0ms

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:

10.0ms	(+ (pow x.re 3) (* x.re (* (* x.im x.im) -3)))
6.0ms	(* (* x.im x.im) -3)
7.0ms	(* x.re (* (* x.im x.im) -3))

series22.0ms

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)
10.0ms	(* x.re (* (* x.im x.im) -3))

simplify47.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4939	523
1	4939	523

prune60.0ms

Filtered

36 candidates to 61 candidates (-69.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

regimes103.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b 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

sample1.1s

Algorithm

intervals

Results

341.0ms

8000×

body

valid

Details

analyze125.0ms

sample35.0ms

simplify112.0ms

prune10.0ms

localize7.0ms

rewrite22.0ms

series22.0ms

simplify27.0ms

prune78.0ms

localize7.0ms

rewrite16.0ms

series19.0ms

simplify47.0ms

prune48.0ms

localize13.0ms

rewrite20.0ms

series83.0ms

simplify48.0ms

prune76.0ms

localize7.0ms

rewrite24.0ms

series22.0ms

simplify47.0ms

prune60.0ms

regimes103.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling