Details

sample37.0ms

Algorithm

intervals

Results

26.0ms

458×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

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

rewrite15.0ms

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:

2.0ms	(+ (* x 2.0) (* x x))
12.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* x 2.0) (* x x))
29.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify99.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (23.0ms)

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: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.1b	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div` `add-log-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `sum-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

16.0ms	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
11.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
11.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
60.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sqrt (+ (+ (* x 2.0) (* x x)) (* y y)))
32.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
29.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
29.0ms	(* (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	230	1037
1	1116	914
2	5001	888

prune198.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow y 2) (* x (+ 2.0 x)))
0.0b	(* x (+ 2.0 x))
0.2b	(pow (+ (pow y 2) (* x (+ 2.0 x))) 3)
40.9b	(cbrt (pow (+ (pow y 2) (* x (+ 2.0 x))) 3))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (pow y 2) (* x (+ 2.0 x)))
12.0ms	(* x (+ 2.0 x))
9.0ms	(pow (+ (pow y 2) (* x (+ 2.0 x))) 3)
9.0ms	(cbrt (pow (+ (pow y 2) (* x (+ 2.0 x))) 3))

series205.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (pow y 2) (* x (+ 2.0 x)))
43.0ms	(* x (+ 2.0 x))
103.0ms	(pow (+ (pow y 2) (* x (+ 2.0 x))) 3)
29.0ms	(cbrt (pow (+ (pow y 2) (* x (+ 2.0 x))) 3))

simplify58.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	348	617
1	1852	580
2	5001	574

prune173.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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

sample1.0s

Algorithm

intervals

Results

786.0ms

14381×

body

valid