Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

374×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	32	3
2	66	3
3	92	3
4	100	3
5	100	3

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

3.0ms	(- (* x x) (* x y))
6.0ms	(* 2.0 (- (* x x) (* x y)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- (* x x) (* x y))
48.0ms	(* 2.0 (- (* x x) (* x y)))

simplify124.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	161	228
1	741	196
2	4248	192
3	5001	192

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* 2.0 x) (- x y))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (* 2.0 x) (- x y))

simplify30.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	171	137
1	836	114
2	5001	114

prune36.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* x y))
0.1b	(* (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))))
7.3b	(sqrt (- (* x x) (* x y)))
7.3b	(sqrt (- (* x x) (* x y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `swap-sqr` `flip--`
7×	`associate-r` `associate-l` `distribute-lft-out--`
6×	`add-exp-log` `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×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

3.0ms	(- (* x x) (* x y))
11.0ms	(* (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))))
4.0ms	(sqrt (- (* x x) (* x y)))
4.0ms	(sqrt (- (* x x) (* x y)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* x x) (* x y))
38.0ms	(* (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))))
59.0ms	(sqrt (- (* x x) (* x y)))
64.0ms	(sqrt (- (* x x) (* x y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	228	755
1	1011	678
2	5001	658

prune212.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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	8	3
1	8	3

end0.0ms

sample413.0ms

Algorithm

intervals

Results

249.0ms

11123×

body

valid