Details

analyze55.0ms

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
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample14.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

prune7.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (* x (* 3.0 y)))
0.2b	(* x (* 3.0 y))

rewrite11.0ms

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 (* x (* 3.0 y)))
4.0ms	(* x (* 3.0 y))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x (* x (* 3.0 y)))
4.0ms	(* x (* 3.0 y))

simplify35.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5102	305

prune55.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (* (* x 3.0) y))
0.2b	(* (* x 3.0) y)

rewrite11.0ms

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 (* (* x 3.0) y))
4.0ms	(* (* x 3.0) y)

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x (* (* x 3.0) y))
4.0ms	(* (* x 3.0) y)

simplify31.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5517	308

prune54.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	43	11	54

Merged error: 0.0b

Counts

54 → 11

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series93.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt y) (cbrt y))
21.0ms	(cbrt y)
22.0ms	(cbrt y)
25.0ms	(cbrt y)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune99.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (* x (* 3.0 y)))) (cbrt (* x (* x (* 3.0 y)))))
17.4b	(cbrt (* x (* x (* 3.0 y))))
17.4b	(cbrt (* x (* x (* 3.0 y))))
17.4b	(cbrt (* x (* x (* 3.0 y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

8.0ms	(* (cbrt (* x (* x (* 3.0 y)))) (cbrt (* x (* x (* 3.0 y)))))
5.0ms	(cbrt (* x (* x (* 3.0 y))))
5.0ms	(cbrt (* x (* x (* 3.0 y))))
5.0ms	(cbrt (* x (* x (* 3.0 y))))

series95.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (* x (* x (* 3.0 y)))) (cbrt (* x (* x (* 3.0 y)))))
21.0ms	(cbrt (* x (* x (* 3.0 y))))
21.0ms	(cbrt (* x (* x (* 3.0 y))))
22.0ms	(cbrt (* x (* x (* 3.0 y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4891	635
1	4891	635

prune124.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	1	0	1
Done	0	3	3
Total	70	12	82

Merged error: 0.0b

Counts

82 → 12

regimes252.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample293.0ms

Algorithm

intervals

Results

179.0ms	8000×	body	80	valid
2.0ms	82×	body	80	invalid

Details

analyze55.0ms

sample14.0ms

simplify3.0ms

prune7.0ms

localize4.0ms

rewrite11.0ms

series8.0ms

simplify35.0ms

prune55.0ms

localize4.0ms

rewrite11.0ms

series8.0ms

simplify31.0ms

prune54.0ms

localize8.0ms

rewrite11.0ms

series93.0ms

simplify46.0ms

prune99.0ms

localize9.0ms

rewrite24.0ms

series95.0ms

simplify55.0ms

prune124.0ms

regimes252.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample293.0ms

Profiling