Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify52.0ms

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: 19.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
19.1b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite54.0ms

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:

8.0ms	(* (+ x y) (+ x y))
20.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ x y) (+ x y))
39.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
163.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune283.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
21.1b	(/ x (* (+ x y) (+ x y)))

rewrite56.0ms

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:

12.0ms	(* (+ x y) (+ x y))
7.0ms	(/ y (+ (+ x y) 1.0))
22.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms	(/ x (* (+ x y) (+ x y)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x y) (+ x y))
51.0ms	(/ y (+ (+ x y) 1.0))
165.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
62.0ms	(/ x (* (+ x y) (+ x y)))

simplify98.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (84.0ms)

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

prune339.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

313×	`*-un-lft-identity`
303×	`times-frac`
163×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
89×	`distribute-lft-out`
78×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
28×	`associate-/r/`
24×	`associate-/l*`
21×	`associate-r`
14×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
13×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 310

Calls

4 calls:

8.0ms	(/ y (+ (+ x y) 1.0))
5.0ms	(/ x (+ x y))
11.0ms	(/ (/ x (+ x y)) (+ x y))
46.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ y (+ (+ x y) 1.0))
46.0ms	(/ x (+ x y))
62.0ms	(/ (/ x (+ x y)) (+ x y))
166.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify119.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	982	2745
1	4559	2543
2	5002	2535

prune578.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
0.7b	(/ 1 (/ (+ (+ x y) 1.0) y))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

516×	`times-frac`
473×	`*-un-lft-identity`
283×	`add-sqr-sqrt`
226×	`add-cube-cbrt`
131×	`distribute-lft-out`
100×	`add-exp-log`
78×	`associate-l`
62×	`associate-r`
53×	`div-exp`
52×	`add-cbrt-cube`
27×	`associate-/r*`
26×	`associate-/r/`
25×	`cbrt-undiv`
24×	`associate-/l*`
21×	`prod-exp` `div-inv`
15×	`unswap-sqr`
12×	`flip3-+` `flip-+`
9×	`cbrt-unprod`
8×	`rec-exp` `1-exp`
7×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 442

Calls

4 calls:

5.0ms	(/ x (+ x y))
11.0ms	(/ (/ x (+ x y)) (+ x y))
87.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
17.0ms	(/ 1 (/ (+ (+ x y) 1.0) y))

series340.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ x (+ x y))
68.0ms	(/ (/ x (+ x y)) (+ x y))
167.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ 1 (/ (+ (+ x y) 1.0) y)))
59.0ms	(/ 1 (/ (+ (+ x y) 1.0) y))

simplify74.0ms

Algorithm

egg-herbie

Counts

454 → 454

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1427	4426
1	5002	3904

prune761.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample382.0ms

Algorithm

intervals

Results

238.0ms

8000×

body

valid