Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	8
1	152	8
2	501	8
3	2153	8
4	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
19.8b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-exp-log` `add-cbrt-cube`
30×	`associate-*l/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-r` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`associate-l`
4×	`pow-prod-down`
3×	`add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 140

Calls

3 calls:

16.0ms	(* (+ x y) (+ x y))
60.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
33.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ x y) (+ x y))
39.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
156.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune293.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(* (+ x y) (+ x y))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
21.7b	(/ x (* (+ x y) (+ x y)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-exp-log` `add-cbrt-cube`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-r`
20×	`flip3-+` `associate-/r/` `flip-+`
19×	`associate-l`
13×	`pow1` `frac-times`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-r/` `associate-l/`
6×	`swap-sqr` `associate-/r` `associate-/l`
5×	`unswap-sqr`
4×	`div-inv` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 170

Calls

4 calls:

17.0ms	(/ y (+ (+ x y) 1.0))
16.0ms	(* (+ x y) (+ x y))
68.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
7.0ms	(/ x (* (+ x y) (+ x y)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ y (+ (+ x y) 1.0))
14.0ms	(* (+ x y) (+ x y))
159.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
63.0ms	(/ x (* (+ x y) (+ x y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	661	1282
1	3591	1138
2	5001	1127

prune320.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x y))
0.0b	(/ x (+ x y))
0.0b	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.2b	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
90×	`*-un-lft-identity`
67×	`times-frac`
61×	`add-cbrt-cube`
59×	`add-sqr-sqrt`
47×	`add-cube-cbrt`
40×	`prod-exp`
36×	`associate-l`
33×	`div-exp`
23×	`distribute-lft-out`
22×	`associate-r` `cbrt-unprod`
19×	`cbrt-undiv`
12×	`pow1`
10×	`associate-/r/`
8×	`associate-/r*`
6×	`frac-times` `rec-exp` `1-exp` `associate-r/` `associate-/l`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow-prod-down` `associate-*l/` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 199

Calls

4 calls:

5.0ms	(/ 1 (+ x y))
5.0ms	(/ x (+ x y))
56.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
61.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1 (+ x y))
38.0ms	(/ x (+ x y))
125.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
162.0ms	(* (/ 1 (+ x y)) (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))))

simplify107.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	786	1629
1	4559	1359
2	5002	1332

prune343.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(/ x (+ x y))
0.0b	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
0.1b	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
62×	`times-frac`
54×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
38×	`add-exp-log` `add-cbrt-cube`
30×	`distribute-lft-out`
21×	`associate-r`
18×	`associate-l`
15×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
10×	`associate-/r/`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-/l*`
6×	`pow1`
5×	`flip3-+` `flip-+` `div-inv`
4×	`add-log-exp` `unswap-sqr`
3×	`frac-2neg` `clear-num` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 167

Calls

4 calls:

17.0ms	(/ y (+ (+ x y) 1.0))
5.0ms	(/ x (+ x y))
57.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
25.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

series373.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ y (+ (+ x y) 1.0))
45.0ms	(/ x (+ x y))
121.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
164.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

simplify87.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	628	1285
1	3418	1122
2	5001	1122

prune390.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms

sample365.0ms

Algorithm

intervals

Results

228.0ms

8000×

body

valid