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

sample24.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	5017	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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 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)))
4.0ms	(* 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))

simplify45.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5004	305

prune76.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	9	47

Merged error: 0.0b

Counts

47 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x.re (* (* x.re x.im) 3))
0.3b	(* (* 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`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-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)

series7.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5022	308

prune65.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	47	7	54

Merged error: 0.0b

Counts

54 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x.re (* x.re x.im))
0.2b	(* (* x.re (* 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`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

4.0ms	(* x.re (* x.re x.im))
6.0ms	(* (* x.re (* x.re x.im)) 3)

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify49.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5117	308

prune66.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	44	8	52

Merged error: 0b

Counts

52 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x.im (* (cbrt 3) (cbrt 3)))
0.2b	(* x.re (* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
0.2b	(* x.re (* x.im (* (cbrt 3) (cbrt 3))))
0.3b	(* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

6.0ms	(* x.im (* (cbrt 3) (cbrt 3)))
13.0ms	(* x.re (* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
9.0ms	(* x.re (* x.im (* (cbrt 3) (cbrt 3))))
11.0ms	(* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3))

series33.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* x.im (* (cbrt 3) (cbrt 3)))
10.0ms	(* x.re (* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
8.0ms	(* x.re (* x.im (* (cbrt 3) (cbrt 3))))
7.0ms	(* (* x.re (* x.im (* (cbrt 3) (cbrt 3)))) (cbrt 3))

simplify51.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4927	787
1	4927	787

prune126.0ms

Filtered

54 candidates to 106 candidates (-96.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	106	8	114

Merged error: 0b

Counts

114 → 8

regimes169.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	48	11
1	48	11

end0.0ms

sample572.0ms

Algorithm

intervals

Results

394.0ms	8000×	body	80	valid
30.0ms	614×	body	80	invalid

Details

analyze132.0ms

sample24.0ms

simplify115.0ms

prune10.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify45.0ms

prune76.0ms

localize7.0ms

rewrite12.0ms

series7.0ms

simplify48.0ms

prune65.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify49.0ms

prune66.0ms

localize10.0ms

rewrite43.0ms

series33.0ms

simplify51.0ms

prune126.0ms

regimes169.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample572.0ms

Profiling