Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

355×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

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

series83.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(* (* x (- x y)) 2.0)
38.0ms	(* x (- x y))

simplify39.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	268	469
1	1243	316
2	5001	310

prune82.0ms

Filtered

74 candidates to 36 candidates (48.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Merged error: 0.0b

Counts

76 → 2

localize4.0ms

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×	`expm1-log1p-u` `flip3--` `associate-r` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

7.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify80.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	144	117
1	558	95
2	3176	95
3	5002	95

prune42.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Merged error: 0.0b

Counts

27 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ (pow x 2) (* x (- y))) 2.0)
0.0b	(+ (pow x 2) (* x (- y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `fma-def`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `associate-r` `unpow2`
2×	`expm1-log1p-u` `flip3-+` `associate-*l/` `distribute-rgt-neg-out` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

2 → 47

Calls

2 calls:

7.0ms	(* (+ (pow x 2) (* x (- y))) 2.0)
5.0ms	(+ (pow x 2) (* x (- y)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (+ (pow x 2) (* x (- y))) 2.0)
32.0ms	(+ (pow x 2) (* x (- y)))

simplify136.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	168	276
1	771	220
2	4864	204
3	5001	204

prune105.0ms

Filtered

53 candidates to 43 candidates (81.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	53	2	55

Merged error: 0b

Counts

55 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)
0.0b	(fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

3.0ms	(* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)
1.0ms	(fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* (fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y))) 2.0)
41.0ms	(fma (pow x (/ 2 2)) (pow x (/ 2 2)) (* x (- y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	97	262
1	372	207
2	2710	193
3	5001	192

prune74.0ms

Filtered

36 candidates to 29 candidates (80.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	36	2	38

Merged error: 0b

Counts

38 → 2

regimes24.0ms

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	16	6
1	25	6
2	26	6
3	26	6

end0.0ms

sample383.0ms

Algorithm

intervals

Results

223.0ms

11095×

body

valid