Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

497×

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

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:

32.0ms

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

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (30.0ms)

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

prune43.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- (* x x) (* y y)) (+ x y))
18.4b	(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

36.0ms	(* (- (* x x) (* y y)) (+ x y))
29.0ms	(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

series72.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- (* x x) (* y y)) (+ x y))
40.0ms	(/ (* (- (* x x) (* y y)) (+ x y)) (- x y))

simplify68.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	423	648
1	2652	575
2	5001	575

prune137.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

35.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
15.0ms	(* 2 (* x y))

series37.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))
17.0ms	(* 2 (* x y))

simplify121.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	181	216
1	783	193
2	4129	189
3	5001	189

prune65.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

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

sample468.0ms

Algorithm

intervals

Results

187.0ms

14119×

body

valid