Details

analyze58.0ms

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%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample11.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

prune8.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* (* x y) y)

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(* (* x y) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5162	121

prune27.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Merged error: 0.1b

Counts

23 → 5

localize3.0ms

Local error

Found 1 expressions with local error:

9.0b	(* x (* y y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

5.0ms

(* x (* y y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* x (* y y))

simplify46.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5043	129

prune26.0ms

Filtered

9 candidates to 22 candidates (-144.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	21	6	27

Merged error: 0.0b

Counts

27 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

9.0b	(* x (* y y))
19.0b	(cbrt (* x (* y y)))
19.0b	(cbrt (* x (* y y)))
19.0b	(cbrt (* x (* y y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

5.0ms	(* x (* y y))
4.0ms	(cbrt (* x (* y y)))
4.0ms	(cbrt (* x (* y y)))
4.0ms	(cbrt (* x (* y y)))

series75.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (* y y))
24.0ms	(cbrt (* x (* y y)))
22.0ms	(cbrt (* x (* y y)))
22.0ms	(cbrt (* x (* y y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5091	378

prune75.0ms

Filtered

39 candidates to 58 candidates (-48.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	57	7	64

Merged error: 0.0b

Counts

64 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

11.2b	(cbrt (exp (log (* x (* y y)))))
19.0b	(cbrt (* x (* y y)))
19.0b	(cbrt (* x (* y y)))
19.2b	(log (* x (* y y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `rem-log-exp` `pow-prod-down` `prod-exp` `log-pow`
2×	`log-prod`
1×	`exp-sum`

Counts

4 → 44

Calls

4 calls:

6.0ms	(cbrt (exp (log (* x (* y y)))))
4.0ms	(cbrt (* x (* y y)))
4.0ms	(cbrt (* x (* y y)))
5.0ms	(log (* x (* y y)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (exp (log (* x (* y y)))))
22.0ms	(cbrt (* x (* y y)))
23.0ms	(cbrt (* x (* y y)))
12.0ms	(log (* x (* y y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5143	368

prune59.0ms

Filtered

36 candidates to 56 candidates (-55.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

regimes153.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample274.0ms

Algorithm

intervals

Results

146.0ms	8000×	body	80	valid
3.0ms	173×	body	80	invalid

Details

analyze58.0ms

sample11.0ms

simplify3.0ms

prune8.0ms

localize3.0ms

rewrite5.0ms

series10.0ms

simplify36.0ms

prune27.0ms

localize3.0ms

rewrite6.0ms

series7.0ms

simplify46.0ms

prune26.0ms

localize7.0ms

rewrite18.0ms

series75.0ms

simplify44.0ms

prune75.0ms

localize12.0ms

rewrite20.0ms

series79.0ms

simplify74.0ms

prune59.0ms

regimes153.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample274.0ms

Profiling