Details

sample23.0ms

Algorithm

intervals

Results

13.0ms

449×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune5.0ms

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

rewrite17.0ms

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:

5.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
11.0ms	(* y (+ (* x 2.0) y))

series64.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
41.0ms	(* y (+ (* x 2.0) y))

simplify40.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (9.0ms)

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

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

Counts

2 → 24

Calls

2 calls:

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

series66.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* x x) (* (* x 2.0) y))
23.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify161.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	191	234
1	998	212
2	4902	196
3	5002	196

prune64.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* y (+ (pow (* x 2.0) 3) (pow y 3))) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y)))) (* x x))
0.0b	(+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y)))
1.8b	(* y (+ (pow (* x 2.0) 3) (pow y 3)))
27.2b	(/ (* y (+ (pow (* x 2.0) 3) (pow y 3))) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

rewrite400.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

308.0ms	(+ (/ (* y (+ (pow (* x 2.0) 3) (pow y 3))) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y)))) (* x x))
14.0ms	(+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y)))
36.0ms	(* y (+ (pow (* x 2.0) 3) (pow y 3)))
40.0ms	(/ (* 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:

77.0ms	(+ (/ (* y (+ (pow (* x 2.0) 3) (pow y 3))) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y)))) (* x x))
30.0ms	(+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y)))
64.0ms	(* y (+ (pow (* x 2.0) 3) (pow y 3)))
122.0ms	(/ (* y (+ (pow (* x 2.0) 3) (pow y 3))) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

simplify86.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	471	1173
1	2569	1028
2	5002	1019

prune260.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (/ (+ (pow (* x 2.0) 3) (pow y 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))) (* x x))
0.0b	(+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y)))
0.0b	(* y (/ (+ (pow (* x 2.0) 3) (pow y 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y)))))
21.9b	(/ (+ (pow (* x 2.0) 3) (pow y 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

26.0ms	(+ (* y (/ (+ (pow (* x 2.0) 3) (pow y 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))) (* x x))
14.0ms	(+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y)))
94.0ms	(* y (/ (+ (pow (* x 2.0) 3) (pow y 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y)))))
53.0ms	(/ (+ (pow (* x 2.0) 3) (pow y 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))

series339.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (* y (/ (+ (pow (* x 2.0) 3) (pow y 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y))))) (* x x))
31.0ms	(+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y)))
128.0ms	(* y (/ (+ (pow (* x 2.0) 3) (pow y 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* y y) (* (* x 2.0) y)))))
100.0ms	(/ (+ (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

117 → 117

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	478	2048
1	2502	1848
2	5001	1832

prune367.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes59.0ms

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	12	5
1	12	5

end0.0ms

sample653.0ms

Algorithm

intervals

Results

414.0ms

14360×

body

valid