Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

346×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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

rewrite15.0ms

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:

11.0ms	(* 2.0 (- (* x x) (* x y)))
3.0ms	(- (* x x) (* x y))

series88.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* 2.0 (- (* x x) (* x y)))
38.0ms	(- (* x x) (* x y))

simplify136.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (27.0ms)

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

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

12.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify34.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

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

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 2.0 x) (- x y))
0.3b	(* (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))))
7.8b	(sqrt (* (* 2.0 x) (- x y)))
7.8b	(sqrt (* (* 2.0 x) (- x y)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
20×	`associate-*r/`
17×	`pow-prod-up`
16×	`sqrt-div`
14×	`pow1/2`
13×	`add-sqr-sqrt`
11×	`add-exp-log` `*-un-lft-identity` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `flip3--` `associate-r` `flip--`
6×	`sqrt-prod`
5×	`associate-l`
4×	`frac-times` `swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

13.0ms	(* (* 2.0 x) (- x y))
56.0ms	(* (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))))
10.0ms	(sqrt (* (* 2.0 x) (- x y)))
7.0ms	(sqrt (* (* 2.0 x) (- x y)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* 2.0 x) (- x y))
114.0ms	(* (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))))
143.0ms	(sqrt (* (* 2.0 x) (- x y)))
146.0ms	(sqrt (* (* 2.0 x) (- x y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	341	707
1	1646	627
2	5002	595

prune183.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x y))
0.0b	(sqrt (- x y))
0.1b	(* (* 2.0 x) (sqrt (- x y)))
0.2b	(* (* (* 2.0 x) (sqrt (- x y))) (sqrt (- x y)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-sqr-sqrt` `sqrt-prod`
18×	`add-exp-log` `*-un-lft-identity` `sqrt-div` `add-cbrt-cube`
16×	`associate-r`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 93

Calls

4 calls:

5.0ms	(sqrt (- x y))
7.0ms	(sqrt (- x y))
21.0ms	(* (* 2.0 x) (sqrt (- x y)))
41.0ms	(* (* (* 2.0 x) (sqrt (- x y))) (sqrt (- x y)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt (- x y))
65.0ms	(sqrt (- x y))
95.0ms	(* (* 2.0 x) (sqrt (- x y)))
51.0ms	(* (* (* 2.0 x) (sqrt (- x y))) (sqrt (- x y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	373	680
1	1739	571
2	5002	554

prune171.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

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

sample384.0ms

Algorithm

intervals

Results

223.0ms

11135×

body

valid