Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

480×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

16.0ms

(* (+ x y) (+ x y))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (+ x y) (+ x y))

simplify36.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	189	213
1	901	188
2	5001	170

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

9.0ms	(* x (+ x y))
9.0ms	(* y (+ x y))
5.0ms	(+ (* x (+ x y)) (* y (+ x y)))

series74.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* x (+ x y))
25.0ms	(* y (+ x y))
24.0ms	(+ (* x (+ x y)) (* y (+ x y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	349	386
1	1961	333
2	5003	331

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

6.0ms	(* 2 (* x y))
20.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
6.0ms	(+ (pow y 2) (* 2 (* x y)))

series76.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* 2 (* x y))
21.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
35.0ms	(+ (pow y 2) (* 2 (* x y)))

simplify34.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	226	296
1	985	273
2	5001	265

prune105.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))))
8.2b	(cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))
8.2b	(cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))
8.2b	(cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

118.0ms	(* (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))))
16.0ms	(cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))
14.0ms	(cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))
14.0ms	(cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))

series509.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))))
125.0ms	(cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))
123.0ms	(cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))
129.0ms	(cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	257	1673
1	1091	1566
2	5001	1428

prune276.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

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	13	6
1	13	6

end0.0ms

sample435.0ms

Algorithm

intervals

Results

217.0ms

14166×

body

valid