Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

438×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	17	6
1	37	5
2	46	5
3	46	5

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

18.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
24.0ms	(* y (+ (* x 2.0) y))

series63.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
37.0ms	(* y (+ (* x 2.0) y))

simplify39.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	222	234
1	1119	217
2	5001	217

prune71.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite113.0ms

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` `unpow2`

Counts

2 → 25

Calls

2 calls:

94.0ms	(+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))
19.0ms	(+ (* y (* x 2.0)) (pow y 2))

series62.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))
38.0ms	(+ (* y (* x 2.0)) (pow y 2))

simplify139.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	180	240
1	892	220
2	4086	208
3	5001	208

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (* x 2.0)) (pow y 2))
0.0b	(* (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))))
6.1b	(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))
6.1b	(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))

rewrite656.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unpow2`

Counts

4 → 99

Calls

4 calls:

19.0ms	(+ (* y (* x 2.0)) (pow y 2))
428.0ms	(* (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))))
102.0ms	(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))
104.0ms	(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* y (* x 2.0)) (pow y 2))
26.0ms	(* (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))))
54.0ms	(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))
58.0ms	(sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	266	1211
1	1269	1091
2	5002	1037

prune219.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y y) (* (* x 2.0) y))
0.5b	(+ (pow (* x 2.0) 3) (pow y 3))
4.3b	(* y (+ (pow (* x 2.0) 3) (pow y 3)))
24.4b	(/ (* y (+ (pow (* x 2.0) 3) (pow y 3))) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`associate-r`
4×	`flip3-+` `associate-*r/` `flip-+`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `sum-cubes` `cbrt-unprod` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

8.0ms	(- (* y y) (* (* x 2.0) y))
16.0ms	(+ (pow (* x 2.0) 3) (pow y 3))
54.0ms	(* y (+ (pow (* x 2.0) 3) (pow y 3)))
81.0ms	(/ (* y (+ (pow (* x 2.0) 3) (pow y 3))) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

series293.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* y y) (* (* x 2.0) y))
60.0ms	(+ (pow (* x 2.0) 3) (pow y 3))
63.0ms	(* y (+ (pow (* x 2.0) 3) (pow y 3)))
127.0ms	(/ (* y (+ (pow (* x 2.0) 3) (pow y 3))) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

simplify92.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	418	882
1	2450	754
2	5001	746

prune239.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

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	14	6
1	14	6

end0.0ms

sample652.0ms

Algorithm

intervals

Results

368.0ms

14002×

body

valid