Details

analyze147.0ms

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

sample25.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4947	11
1	4947	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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 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)))
5.0ms	(* x.re (* x.im 3))

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify46.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5203	305

prune62.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 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`
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)

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify38.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5058	308

prune58.0ms

Filtered

23 candidates to 45 candidates (-95.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	46	5	51

Merged error: 0.0b

Counts

51 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x.re (* x.re x.im)) 3)
0.2b	(* x.re (* x.re x.im))

rewrite15.0ms

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:

9.0ms	(* (* x.re (* x.re x.im)) 3)
5.0ms	(* x.re (* x.re x.im))

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify64.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4956	308
1	4956	308

prune57.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	44	6	50

Merged error: 0b

Counts

50 → 6

localize12.0ms

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1` `add-exp-log`
39×	`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:

7.0ms	(* x.im (* (cbrt 3) (cbrt 3)))
11.0ms	(* x.re (* x.re (* x.im (* (cbrt 3) (cbrt 3)))))
9.0ms	(* x.re (* x.im (* (cbrt 3) (cbrt 3))))
14.0ms	(* (* x.re (* x.re (* x.im (* (cbrt 3) (cbrt 3))))) (cbrt 3))

series40.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5194	898

prune146.0ms

Filtered

55 candidates to 106 candidates (-92.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	106	6	112

Merged error: 0b

Counts

112 → 6

regimes104.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample588.0ms

Algorithm

intervals

Results

408.0ms	8000×	body	80	valid
29.0ms	580×	body	80	invalid

Details

analyze147.0ms

sample25.0ms

simplify62.0ms

prune10.0ms

localize8.0ms

rewrite12.0ms

series8.0ms

simplify46.0ms

prune62.0ms

localize8.0ms

rewrite12.0ms

series8.0ms

simplify38.0ms

prune58.0ms

localize8.0ms

rewrite15.0ms

series8.0ms

simplify64.0ms

prune57.0ms

localize12.0ms

rewrite46.0ms

series40.0ms

simplify58.0ms

prune146.0ms

regimes104.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample588.0ms

Profiling