Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

290×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	20	3
2	28	3
3	36	3
4	54	3
5	101	3
6	150	3
7	167	3
8	242	3
9	468	3
10	1547	3
11	5001	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

6.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	95	86
1	301	79
2	1328	77
3	5002	77

prune26.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) x) y)
0.2b	(* (+ (* x y) x) (+ (* x y) x))
3.7b	(- (* (+ (* x y) x) (+ (* x y) x)) (* y y))
27.9b	(/ (- (* (+ (* x y) x) (+ (* x y) x)) (* y y)) (- (+ (* x y) x) y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
20×	`times-frac`
19×	`add-cube-cbrt`
13×	`difference-of-squares`
11×	`pow1` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `distribute-lft-out--`
5×	`associate-/r*`
4×	`frac-times` `flip3--` `flip--` `associate-/l*`
3×	`diff-log` `swap-sqr` `associate-r` `associate-l` `associate--l+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

6.0ms	(- (+ (* x y) x) y)
9.0ms	(* (+ (* x y) x) (+ (* x y) x))
10.0ms	(- (* (+ (* x y) x) (+ (* x y) x)) (* y y))
20.0ms	(/ (- (* (+ (* x y) x) (+ (* x y) x)) (* y y)) (- (+ (* x y) x) y))

series157.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (+ (* x y) x) y)
28.0ms	(* (+ (* x y) x) (+ (* x y) x))
45.0ms	(- (* (+ (* x y) x) (+ (* x y) x)) (* y y))
68.0ms	(/ (- (* (+ (* x y) x) (+ (* x y) x)) (* y y)) (- (+ (* x y) x) y))

simplify84.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	490	1343
1	2565	1197
2	5001	1162

prune233.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) x) y)
0.0b	(sqrt (+ (+ (* x y) x) y))
0.0b	(sqrt (+ (+ (* x y) x) y))
0.2b	(* (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

6.0ms	(+ (+ (* x y) x) y)
8.0ms	(sqrt (+ (+ (* x y) x) y))
5.0ms	(sqrt (+ (+ (* x y) x) y))
16.0ms	(* (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (+ (* x y) x) y)
60.0ms	(sqrt (+ (+ (* x y) x) y))
56.0ms	(sqrt (+ (+ (* x y) x) y))
16.0ms	(* (sqrt (+ (+ (* x y) x) y)) (sqrt (+ (+ (* x y) x) y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	234	806
1	874	730
2	5001	708

prune170.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (+ (+ (* x y) x) y))) (sqrt (cbrt (+ (+ (* x y) x) y))))
0.2b	(* (sqrt (+ (+ (* x y) x) y)) (* (fabs (cbrt (+ (+ (* x y) x) y))) (sqrt (cbrt (+ (+ (* x y) x) y)))))
0.6b	(cbrt (+ (+ (* x y) x) y))
0.6b	(cbrt (+ (+ (* x y) x) y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
14×	`sqrt-div`
13×	`cbrt-prod` `sqrt-prod`
12×	`add-cube-cbrt` `cbrt-div`
11×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-r/` `associate-l*`
9×	`flip3-+` `flip-+`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `associate-l/` `-commutative`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (fabs (cbrt (+ (+ (* x y) x) y))) (sqrt (cbrt (+ (+ (* x y) x) y))))
17.0ms	(* (sqrt (+ (+ (* x y) x) y)) (* (fabs (cbrt (+ (+ (* x y) x) y))) (sqrt (cbrt (+ (+ (* x y) x) y)))))
6.0ms	(cbrt (+ (+ (* x y) x) y))
6.0ms	(cbrt (+ (+ (* x y) x) y))

series288.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (fabs (cbrt (+ (+ (* x y) x) y))) (sqrt (cbrt (+ (+ (* x y) x) y))))
92.0ms	(* (sqrt (+ (+ (* x y) x) y)) (* (fabs (cbrt (+ (+ (* x y) x) y))) (sqrt (cbrt (+ (+ (* x y) x) y)))))
59.0ms	(cbrt (+ (+ (* x y) x) y))
65.0ms	(cbrt (+ (+ (* x y) x) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	681	1757
1	2368	1610
2	5001	1595

prune311.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 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	8	3
1	8	3

end0.0ms

sample313.0ms

Algorithm

intervals

Results

163.0ms	9136×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid