Details

analyze57.0ms

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

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	6×	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

localize8.0ms

Local error

Found 2 expressions with local error:

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

4.0ms	(* x (* 3.0 y))
6.0ms	(* x (* x (* 3.0 y)))

series7.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5102	305

prune50.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

localize5.0ms

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

series7.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify31.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5517	308

prune43.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (* x (* 3.0 y)))) (cbrt (* x (* x (* 3.0 y)))))
18.9b	(cbrt (* x (* x (* 3.0 y))))
18.9b	(cbrt (* x (* x (* 3.0 y))))
18.9b	(cbrt (* x (* x (* 3.0 y))))

rewrite21.0ms

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:

6.0ms	(* (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))))

series109.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (* x (* x (* 3.0 y)))) (cbrt (* x (* x (* 3.0 y)))))
23.0ms	(cbrt (* x (* x (* 3.0 y))))
36.0ms	(cbrt (* x (* x (* 3.0 y))))
21.0ms	(cbrt (* x (* x (* 3.0 y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4891	635
1	4891	635

prune125.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x 3.0) x)
8.4b	(* (* (* x 3.0) x) 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-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

4.0ms	(* (* x 3.0) x)
6.0ms	(* (* (* x 3.0) x) y)

series7.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5209	307

prune36.0ms

Filtered

23 candidates to 45 candidates (-95.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	1	2	3
Picked	0	1	1
Done	1	2	3
Total	44	8	52

Merged error: 0.0b

Counts

52 → 8

regimes197.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample304.0ms

Algorithm

intervals

Results

179.0ms	8000×	body	80	valid
2.0ms	97×	body	80	invalid

Details

analyze57.0ms

sample12.0ms

simplify3.0ms

prune7.0ms

localize8.0ms

rewrite11.0ms

series7.0ms

simplify35.0ms

prune50.0ms

localize5.0ms

rewrite11.0ms

series7.0ms

simplify31.0ms

prune43.0ms

localize9.0ms

rewrite21.0ms

series109.0ms

simplify54.0ms

prune125.0ms

localize5.0ms

rewrite11.0ms

series7.0ms

simplify42.0ms

prune36.0ms

regimes197.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample304.0ms

Profiling