Details

analyze137.0ms

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

sample20.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4947	11
1	4947	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: 0.1b

Counts

2 → 2

localize7.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5203	305

prune63.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Merged error: 0.0b

Counts

47 → 8

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)

rewrite13.0ms

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))
3.0ms	(* (* 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

prune60.0ms

Filtered

24 candidates to 45 candidates (-87.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	5	6
Picked	0	1	1
Done	1	0	1
Total	46	7	53

Merged error: 0.0b

Counts

53 → 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:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4956	308
1	4956	308

prune59.0ms

Filtered

23 candidates to 45 candidates (-95.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	44	8	52

Merged error: 0.0b

Counts

52 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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))))
17.0ms	(* (* x.re (* x.re (* x.im (* (cbrt 3) (cbrt 3))))) (cbrt 3))

series36.0ms

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)))))
9.0ms	(* x.re (* x.im (* (cbrt 3) (cbrt 3))))
8.0ms	(* (* x.re (* x.re (* x.im (* (cbrt 3) (cbrt 3))))) (cbrt 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5194	898

prune127.0ms

Filtered

56 candidates to 106 candidates (-89.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	3	2	5
Picked	0	1	1
Done	1	1	2
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

regimes100.0ms

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	21	11
1	21	11

end0.0ms

sample540.0ms

Algorithm

intervals

Results

378.0ms	8000×	body	80	valid
27.0ms	592×	body	80	invalid

Details

analyze137.0ms

sample20.0ms

simplify61.0ms

prune9.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify45.0ms

prune63.0ms

localize8.0ms

rewrite13.0ms

series8.0ms

simplify38.0ms

prune60.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify57.0ms

prune59.0ms

localize11.0ms

rewrite48.0ms

series36.0ms

simplify53.0ms

prune127.0ms

regimes100.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample540.0ms

Profiling