Details

sample23.0ms

Algorithm

intervals

Results

13.0ms

452×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

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

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:

12.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
3.0ms	(+ (* x 2.0) (* x x))

series85.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
56.0ms	(+ (* x 2.0) (* x x))

simplify104.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	182	191
1	887	164
2	3634	160
3	5002	160

prune71.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`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` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

13.0ms	(* x (+ 2.0 x))
6.0ms	(+ (* x (+ 2.0 x)) (* y y))

series73.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* x (+ 2.0 x))
32.0ms	(+ (* x (+ 2.0 x)) (* y y))

simplify43.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	204	184
1	1018	171
2	5001	171

prune74.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

5.0ms	(+ (* x (+ 2.0 x)) (* y y))
10.0ms	(* x (+ 2.0 x))
10.0ms	(* x (+ 2.0 x))
41.0ms	(* (sqrt (+ (* x (+ 2.0 x)) (* y y))) (sqrt (+ (* x (+ 2.0 x)) (* y y))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x (+ 2.0 x)) (* y y))
40.0ms	(* x (+ 2.0 x))
45.0ms	(* x (+ 2.0 x))
29.0ms	(* (sqrt (+ (* x (+ 2.0 x)) (* y y))) (sqrt (+ (* x (+ 2.0 x)) (* y y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	294	810
1	1459	740
2	5002	719

prune220.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 2.0 x))
0.0b	(+ (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))) (* y y))
0.1b	(* x (+ (pow 2.0 3) (pow x 3)))
12.0b	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`distribute-lft-out`
4×	`unpow-prod-down` `flip3-+` `cube-prod` `associate-*r/` `flip-+`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
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` `sum-cubes` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

5.0ms	(- (* x x) (* 2.0 x))
92.0ms	(+ (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))) (* y y))
55.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
31.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* x x) (* 2.0 x))
106.0ms	(+ (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))) (* y y))
94.0ms	(* x (+ (pow 2.0 3) (pow x 3)))
210.0ms	(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

simplify73.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	471	809
1	2468	712
2	5001	705

prune244.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes47.0ms

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	10	4
1	10	4

end0.0ms

sample528.0ms

Algorithm

intervals

Results

318.0ms

14328×

body

valid