Details

sample19.0ms

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	13	3
1	32	3
2	66	3
3	92	3
4	100	3
5	100	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

11.0ms	(* 2.0 (- (* x x) (* x y)))
3.0ms	(- (* x x) (* x y))

series102.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* 2.0 (- (* x x) (* x y)))
45.0ms	(- (* x x) (* x y))

simplify149.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (31.0ms)

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

prune91.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

14.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	171	137
1	836	114
2	5001	114

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

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)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

14.0ms	(* (* 2.0 x) (- x y))
60.0ms	(* (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))))
8.0ms	(sqrt (* (* 2.0 x) (- x y)))
11.0ms	(sqrt (* (* 2.0 x) (- x y)))

series532.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* 2.0 x) (- x y))
136.0ms	(* (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))))
171.0ms	(sqrt (* (* 2.0 x) (- x y)))
176.0ms	(sqrt (* (* 2.0 x) (- x y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	341	725
1	1696	627
2	5001	595

prune194.0ms

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))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`cbrt-prod`
16×	`associate-r`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/` `add-cbrt-cube`
6×	`cube-div` `associate-l`
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` `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:

9.0ms	(* 2.0 (cbrt (pow (* x (- x y)) 3)))
10.0ms	(* x (- x y))
4.0ms	(pow (* x (- x y)) 3)
2.0ms	(cbrt (pow (* x (- x y)) 3))

series202.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 2.0 (cbrt (pow (* x (- x y)) 3)))
38.0ms	(* x (- x y))
42.0ms	(pow (* x (- x y)) 3)
54.0ms	(cbrt (pow (* x (- x y)) 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	353	515
1	1825	472
2	5002	467

prune209.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

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

sample396.0ms

Algorithm

intervals

Results

232.0ms

11294×

body

valid