Details

sample30.0ms

Algorithm

intervals

Results

15.0ms

447×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	25	4
2	27	4
3	27	4

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

3.0ms	(+ (* x 2.0) (* x x))
13.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (* x 2.0) (* x x))
30.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify105.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	182	191
1	887	164
2	3634	160
3	5002	160

prune60.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

7.0ms	(+ (pow y 2) (* x (+ 2.0 x)))
10.0ms	(* x (+ 2.0 x))

series74.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (pow y 2) (* x (+ 2.0 x)))
44.0ms	(* x (+ 2.0 x))

simplify35.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	195	180
1	967	167
2	5002	167

prune76.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow y 2) (cbrt (pow (* x (+ 2.0 x)) 3)))
0.0b	(* x (+ 2.0 x))
0.1b	(pow (* x (+ 2.0 x)) 3)
39.2b	(cbrt (pow (* x (+ 2.0 x)) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `associate-l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

11.0ms	(+ (pow y 2) (cbrt (pow (* x (+ 2.0 x)) 3)))
11.0ms	(* x (+ 2.0 x))
5.0ms	(pow (* x (+ 2.0 x)) 3)
2.0ms	(cbrt (pow (* x (+ 2.0 x)) 3))

series198.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (pow y 2) (cbrt (pow (* x (+ 2.0 x)) 3)))
43.0ms	(* x (+ 2.0 x))
44.0ms	(pow (* x (+ 2.0 x)) 3)
62.0ms	(cbrt (pow (* x (+ 2.0 x)) 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	341	422
1	1766	385
2	5002	384

prune187.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes72.0ms

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	11	5
1	11	5

end0.0ms

sample525.0ms

Algorithm

intervals

Results

316.0ms

14235×

body

valid