Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

445×

body

valid

simplify271.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	13	7
1	23	6
2	35	4
3	45	4
4	54	4
5	87	4
6	156	4
7	206	4
8	219	4
9	314	4
10	644	4
11	3197	4
12	5001	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* y y)) (* x x))
0.2b	(* 3 (* y y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ (* 3 (* y y)) (* x x))
5.0ms	(* 3 (* y y))

series60.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* 3 (* y y)) (* x x))
24.0ms	(* 3 (* y y))

simplify75.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	164	163
1	658	146
2	2429	139
3	5003	139

prune58.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 y) y) (* x x))
0.2b	(* (* 3 y) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

5.0ms	(+ (* (* 3 y) y) (* x x))
5.0ms	(* (* 3 y) y)

series61.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (* 3 y) y) (* x x))
24.0ms	(* (* 3 y) y)

simplify121.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	173	161
1	854	144
2	4082	139
3	5001	138

prune53.0ms

Filtered

35 candidates to 21 candidates (60.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	33	8	41

Merged error: 0.0b

Counts

41 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.0b	(+ (* x x) (* y y))
0.1b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

6.0ms	(+ (+ (* x x) (* y y)) (* y y))
4.0ms	(+ (* x x) (* y y))
8.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series100.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (+ (* x x) (* y y)) (* y y))
30.0ms	(+ (* x x) (* y y))
35.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify132.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	218	352
1	1048	312
2	4094	291
3	5002	280

prune80.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	47	8	55

Merged error: 0.0b

Counts

55 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3 y) y)
0.4b	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
21.8b	(sqrt (* (* 3 y) y))
21.8b	(sqrt (* (* 3 y) y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* (* 3 y) y)
15.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
4.0ms	(sqrt (* (* 3 y) y))
4.0ms	(sqrt (* (* 3 y) y))

series174.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* 3 y) y)
68.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
41.0ms	(sqrt (* (* 3 y) y))
34.0ms	(sqrt (* (* 3 y) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	178	365
1	984	307
2	5002	269

prune124.0ms

Filtered

120 candidates to 51 candidates (42.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	120	8	128

Merged error: 0b

Counts

128 → 8

regimes136.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample524.0ms

Algorithm

intervals

Results

306.0ms

14063×

body

valid