Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

363×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	33	3
2	73	3
3	112	3
4	129	3
5	131	3
6	131	3

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

544×	`add-sqr-sqrt`
540×	`prod-diff`
346×	`*-un-lft-identity`
328×	`add-cube-cbrt`
277×	`associate-r`
265×	`associate-l`
182×	`distribute-rgt-in` `distribute-lft-in`
115×	`swap-sqr`
97×	`*-commutative` `unswap-sqr`
20×	`difference-of-squares`
18×	`distribute-lft-out--`
15×	`fma-neg`
6×	`distribute-rgt-out--`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

2 → 639

Calls

2 calls:

34.0ms	(* 2.0 (- (* x x) (* x y)))
20.0ms	(- (* x x) (* x y))

series92.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify151.0ms

Algorithm

egg-herbie

Counts

645 → 645

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	962	9652
1	3236	5827
2	5001	4625

prune182.0ms

Filtered

645 candidates to 71 candidates (11.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	643	2	645
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	645	2	647

Merged error: 0.0b

Counts

647 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
15×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-r/` `-commutative`
1×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 59

Calls

1 calls:

11.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	332	492
1	1399	343
2	5002	331

prune72.0ms

Filtered

62 candidates to 30 candidates (48.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	62	2	64

Merged error: 0b

Counts

64 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

58×	`associate-l`
30×	`*-un-lft-identity`
23×	`add-sqr-sqrt` `distribute-lft-out`
22×	`fma-def`
16×	`associate-r`
12×	`add-cube-cbrt`
7×	`*-commutative`
6×	`unswap-sqr`
3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `distribute-rgt-out` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 61

Calls

1 calls:

41.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify214.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	235	227
1	822	174
2	4898	170
3	5001	170

prune113.0ms

Filtered

64 candidates to 47 candidates (73.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	2	66

Merged error: 0b

Counts

66 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x 2.0)) (cbrt (* x 2.0)))
0.6b	(cbrt (* x 2.0))
0.6b	(cbrt (* x 2.0))
0.6b	(cbrt (* x 2.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

100×	`cbrt-prod`
67×	`add-sqr-sqrt`
38×	`associate-l`
36×	`associate-r`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
22×	`unswap-sqr`
17×	`swap-sqr`
11×	`pow1`
9×	`pow1/3`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 145

Calls

4 calls:

16.0ms	(* (cbrt (* x 2.0)) (cbrt (* x 2.0)))
3.0ms	(cbrt (* x 2.0))
3.0ms	(cbrt (* x 2.0))
4.0ms	(cbrt (* x 2.0))

series1.0s

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (cbrt (* x 2.0)) (cbrt (* x 2.0)))
200.0ms	(cbrt (* x 2.0))
393.0ms	(cbrt (* x 2.0))
204.0ms	(cbrt (* x 2.0))

simplify123.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	202	926
1	769	862
2	4140	805
3	5001	801

prune312.0ms

Filtered

157 candidates to 110 candidates (70.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	157	2	159

Merged error: 0b

Counts

159 → 2

regimes25.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	25	6
3	25	6

end0.0ms

sample392.0ms

Algorithm

intervals

Results

227.0ms

11038×

body

valid