Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

376×

body

valid

simplify15.0ms

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-diff`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `distribute-lft-out--`
1×	`fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

10.0ms	(* 2.0 (- (* x x) (* x y)))
3.0ms	(- (* x x) (* x y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* 2.0 (- (* x x) (* x y)))
33.0ms	(- (* x x) (* x y))

simplify143.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	182	265
1	836	234
2	4713	230
3	5001	230

prune92.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 46

Calls

1 calls:

14.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	297	433
1	1306	284
2	5001	272

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 2.0 x) (- x y))
0.3b	(* (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))))
7.3b	(sqrt (* (* 2.0 x) (- x y)))
7.3b	(sqrt (* (* 2.0 x) (- x y)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`associate-*r/`
18×	`prod-diff`
17×	`pow-prod-up`
16×	`sqrt-div`
14×	`pow1/2`
11×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `pow-sqr` `add-cbrt-cube`
9×	`flip3--` `associate-r` `flip--`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-l/` `-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 154

Calls

4 calls:

14.0ms	(* (* 2.0 x) (- x y))
55.0ms	(* (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))))
13.0ms	(sqrt (* (* 2.0 x) (- x y)))
14.0ms	(sqrt (* (* 2.0 x) (- x y)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* 2.0 x) (- x y))
120.0ms	(* (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))))
152.0ms	(sqrt (* (* 2.0 x) (- x y)))
154.0ms	(sqrt (* (* 2.0 x) (- x y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	478	1030
1	2252	824
2	5002	788

prune228.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (cbrt (pow (* x (- x y)) 3)))
0.0b	(* x (- x y))
0.2b	(pow (* x (- x y)) 3)
34.6b	(cbrt (pow (* x (- x y)) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
18×	`cbrt-prod` `prod-diff`
16×	`associate-r`
11×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in`
10×	`associate-*r/` `add-cbrt-cube`
6×	`cube-div` `associate-l`
4×	`expm1-log1p-u` `cbrt-div` `flip3--` `flip--` `log1p-expm1-u` `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×	`sub-neg` `pow-pow` `pow-exp` `*-commutative` `rem-cube-cbrt`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 125

Calls

4 calls:

9.0ms	(* 2.0 (cbrt (pow (* x (- x y)) 3)))
12.0ms	(* x (- x y))
5.0ms	(pow (* x (- x y)) 3)
2.0ms	(cbrt (pow (* x (- x y)) 3))

series208.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* 2.0 (cbrt (pow (* x (- x y)) 3)))
34.0ms	(* x (- x y))
46.0ms	(pow (* x (- x y)) 3)
55.0ms	(cbrt (pow (* x (- x y)) 3))

simplify70.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	441	788
1	2197	626
2	5001	620

prune233.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample424.0ms

Algorithm

intervals

Results

246.0ms

11294×

body

valid