Details

analyze40.0ms

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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

sample15.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	15	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 27.0) 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:

5.0ms

(* (* x 27.0) y)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (* x 27.0) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4903	122
1	4903	122

prune28.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (* 27.0 y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

7.0ms

(* x (* 27.0 y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* x (* 27.0 y))

simplify47.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5107	121

prune20.0ms

Filtered

8 candidates to 21 candidates (-162.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	21	5	26

Merged error: 0.0b

Counts

26 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 27.0 (* y (sqrt x)))
0.1b	(* y (sqrt x))
0.1b	(* (sqrt x) (* 27.0 (* y (sqrt x))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
12×	`associate-l`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
7×	`sqrt-prod`
3×	`*-commutative` `add-log-exp`
2×	`unswap-sqr`

Counts

3 → 64

Calls

3 calls:

5.0ms	(* 27.0 (* y (sqrt x)))
5.0ms	(* y (sqrt x))
9.0ms	(* (sqrt x) (* 27.0 (* y (sqrt x))))

series23.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* 27.0 (* y (sqrt x)))
7.0ms	(* y (sqrt x))
7.0ms	(* (sqrt x) (* 27.0 (* y (sqrt x))))

simplify52.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4956	551
1	4956	551

prune73.0ms

Filtered

47 candidates to 73 candidates (-55.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt x) (* (sqrt 27.0) (* (sqrt x) (* y (sqrt 27.0)))))
0.2b	(* (sqrt 27.0) (* (sqrt x) (* y (sqrt 27.0))))
0.2b	(* y (sqrt 27.0))
0.2b	(* (sqrt x) (* y (sqrt 27.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`associate-l`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
9×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 94

Calls

4 calls:

13.0ms	(* (sqrt x) (* (sqrt 27.0) (* (sqrt x) (* y (sqrt 27.0)))))
10.0ms	(* (sqrt 27.0) (* (sqrt x) (* y (sqrt 27.0))))
5.0ms	(* y (sqrt 27.0))
7.0ms	(* (sqrt x) (* y (sqrt 27.0)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (sqrt x) (* (sqrt 27.0) (* (sqrt x) (* y (sqrt 27.0)))))
22.0ms	(* (sqrt 27.0) (* (sqrt x) (* y (sqrt 27.0))))
4.0ms	(* y (sqrt 27.0))
14.0ms	(* (sqrt x) (* y (sqrt 27.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4962	907
1	4962	907

prune111.0ms

Filtered

65 candidates to 106 candidates (-63.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	105	7	112

Merged error: 0.0b

Counts

112 → 7

regimes203.0ms

Accuracy

0% (0.3b 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	7	5
1	7	5

end0.0ms

sample271.0ms

Algorithm

intervals

Results

146.0ms	8000×	body	80	valid
1.0ms	79×	body	80	invalid

Details

analyze40.0ms

sample15.0ms

simplify3.0ms

prune8.0ms

localize3.0ms

rewrite5.0ms

series4.0ms

simplify36.0ms

prune28.0ms

localize4.0ms

rewrite7.0ms

series4.0ms

simplify47.0ms

prune20.0ms

localize6.0ms

rewrite21.0ms

series23.0ms

simplify52.0ms

prune73.0ms

localize8.0ms

rewrite38.0ms

series55.0ms

simplify62.0ms

prune111.0ms

regimes203.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample271.0ms

Profiling