Details

sample20.0ms

Algorithm

intervals

Results

13.0ms

286×

body

valid

simplify171.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	39	3
3	50	3
4	72	3
5	120	3
6	267	3
7	446	3
8	730	3
9	889	3
10	1175	3
11	2720	3
12	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 14

Calls

1 calls:

17.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	87
1	309	80
2	1324	80
3	5002	80

prune29.0ms

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 y))
8.3b	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
25.2b	(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (+ x y) (* x y)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

16.0ms	(* (+ x y) (+ x y))
10.0ms	(* (* x y) (* x y))
12.0ms	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
35.0ms	(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (+ x y) (* x y)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x y) (+ x y))
33.0ms	(* (* x y) (* x y))
39.0ms	(- (* (+ x y) (+ x y)) (* (* x y) (* x y)))
65.0ms	(/ (- (* (+ x y) (+ x y)) (* (* x y) (* x y))) (+ (+ x y) (* x y)))

simplify93.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	489	1077
1	2721	975
2	5001	970

prune197.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
14×	`add-log-exp`
11×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `div-exp` `sum-log` `associate-/l/`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `diff-log` `clear-num`
1×	`+-commutative` `sub-neg` `associate-+l+` `associate--l+`

Counts

4 → 138

Calls

4 calls:

15.0ms	(+ (+ x y) (* x y))
17.0ms	(- (+ x y) (* x y))
46.0ms	(/ (+ (+ x y) (* x y)) (- (+ x y) (* x y)))
65.0ms	(/ (+ (+ x y) (* x y)) (/ (+ (+ x y) (* x y)) (- (+ x y) (* x y))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (+ x y) (* x y))
21.0ms	(- (+ x y) (* x y))
51.0ms	(/ (+ (+ x y) (* x y)) (- (+ x y) (* x y)))
18.0ms	(/ (+ (+ x y) (* x y)) (/ (+ (+ x y) (* x y)) (- (+ x y) (* x y))))

simplify92.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	515	2191
1	2662	1770
2	5001	1770

prune276.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
180×	`cbrt-prod`
146×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
90×	`unpow-prod-down` `cube-prod`
42×	`associate-/r*`
27×	`associate-/r/`
14×	`div-inv`
13×	`flip3--` `flip--`
11×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`cube-mult` `unpow3` `associate-/l*` `sqr-pow`
5×	`pow1`
4×	`associate-/l/` `add-log-exp`
3×	`cbrt-undiv` `cube-div` `pow-unpow` `div-exp`
2×	`cbrt-div` `frac-2neg` `flip3-+` `pow-exp` `clear-num` `flip-+` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `pow1/3` `rem-cbrt-cube`

Counts

4 → 301

Calls

4 calls:

47.0ms	(/ (+ (+ x y) (* x y)) (- (+ x y) (* x y)))
106.0ms	(/ (+ (+ x y) (* x y)) (cbrt (pow (/ (+ (+ x y) (* x y)) (- (+ x y) (* x y))) 3)))
38.0ms	(cbrt (pow (/ (+ (+ x y) (* x y)) (- (+ x y) (* x y))) 3))
36.0ms	(pow (/ (+ (+ x y) (* x y)) (- (+ x y) (* x y))) 3)

series260.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (+ (+ x y) (* x y)) (- (+ x y) (* x y)))
31.0ms	(/ (+ (+ x y) (* x y)) (cbrt (pow (/ (+ (+ x y) (* x y)) (- (+ x y) (* x y))) 3)))
76.0ms	(cbrt (pow (/ (+ (+ x y) (* x y)) (- (+ x y) (* x y))) 3))
96.0ms	(pow (/ (+ (+ x y) (* x y)) (- (+ x y) (* x y))) 3)

simplify136.0ms

Algorithm

egg-herbie

Counts

313 → 313

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	752	6085
1	3590	5134
2	5001	5065

prune452.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes37.0ms

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	7	3
1	7	3

end0.0ms

sample573.0ms

Algorithm

intervals

Results

424.0ms

9135×

body

valid