Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

345×

body

valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	3
1	32	3
2	66	3
3	92	3
4	100	3
5	100	3

prune6.0ms

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x (- x y)) 2.0)
0.0b	(* x (- x y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`associate-r`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-l/` `-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

7.0ms	(* (* x (- x y)) 2.0)
7.0ms	(* x (- x y))

series92.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (* x (- x y)) 2.0)
42.0ms	(* x (- x y))

simplify39.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	190	211
1	920	176
2	5002	176

prune70.0ms

Filtered

52 candidates to 30 candidates (57.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (* (- x y) 2.0))

rewrite8.0ms

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` `associate-r/` `associate-*l/`
1×	`flip3--` `associate-r` `*-commutative` `flip--` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

7.0ms

(* x (* (- x y) 2.0))

series53.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(* x (* (- x y) 2.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	140	109
1	544	87
2	3040	87
3	5003	87

prune29.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Merged error: 0b

Counts

26 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (- (* x x) (* x y)))
0.0b	(- (* x x) (* x y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

7.0ms	(* 2.0 (- (* x x) (* x y)))
7.0ms	(- (* x x) (* x y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* 2.0 (- (* x x) (* x y)))
35.0ms	(- (* x x) (* x y))

simplify150.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	161	228
1	741	196
2	4248	192
3	5001	192

prune67.0ms

Filtered

44 candidates to 31 candidates (70.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	44	3	47

Merged error: 0b

Counts

47 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (pow (* x (- x y)) 3)) 2.0)
0.0b	(* x (- x y))
0.2b	(pow (* x (- x y)) 3)
33.2b	(cbrt (pow (* x (- x y)) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`cbrt-prod`
14×	`associate-l`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cube-cbrt`
10×	`add-cbrt-cube`
8×	`associate-r/` `associate-r*`
6×	`cube-div`
4×	`cbrt-div` `flip3--` `flip--` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`cube-mult` `unpow-prod-down` `pow-unpow` `unpow3` `cube-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `pow-pow` `distribute-lft-in` `associate-l/` `pow-exp` `-commutative` `rem-cube-cbrt`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 99

Calls

4 calls:

8.0ms	(* (cbrt (pow (* x (- x y)) 3)) 2.0)
7.0ms	(* x (- x y))
7.0ms	(pow (* x (- x y)) 3)
3.0ms	(cbrt (pow (* x (- x y)) 3))

series236.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (cbrt (pow (* x (- x y)) 3)) 2.0)
41.0ms	(* x (- x y))
53.0ms	(pow (* x (- x y)) 3)
60.0ms	(cbrt (pow (* x (- x y)) 3))

simplify74.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	349	511
1	1721	470
2	5001	469

prune227.0ms

Filtered

111 candidates to 78 candidates (70.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	3	114

Merged error: 0b

Counts

114 → 3

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample421.0ms

Algorithm

intervals

Results

243.0ms

11181×

body

valid