Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify47.0ms

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: 16.9b

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))
16.8b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite214.0ms

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:

31.0ms	(* (+ x y) (+ x y))
108.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
66.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series409.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* (+ x y) (+ x y))
233.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
163.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune271.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.5b

localize7.0ms

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)))
17.4b	(/ x (* (+ x y) (+ x y)))

rewrite210.0ms

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:

32.0ms	(* (+ x y) (+ x y))
32.0ms	(/ y (+ (+ x y) 1.0))
124.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
15.0ms	(/ x (* (+ x y) (+ x y)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x y) (+ x y))
44.0ms	(/ y (+ (+ x y) 1.0))
138.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
57.0ms	(/ 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

prune300.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

295×	`*-un-lft-identity`
291×	`times-frac`
153×	`add-sqr-sqrt`
132×	`add-cube-cbrt`
85×	`distribute-lft-out`
78×	`associate-l`
31×	`add-exp-log` `add-cbrt-cube`
26×	`associate-/r/`
21×	`associate-r` `associate-/l*`
13×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
9×	`associate-/r*`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`pow1`
3×	`add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

3 → 277

Calls

3 calls:

34.0ms	(/ y (+ (+ x y) 1.0))
26.0ms	(/ (/ x (+ x y)) (+ x y))
144.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ y (+ (+ x y) 1.0))
58.0ms	(/ (/ x (+ x y)) (+ x y))
143.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify108.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	981	2594
1	4558	2399
2	5003	2391

prune447.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x y) 1.0))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (* (/ (/ x (+ x y)) (+ x y)) y) (/ 1 (+ (+ x y) 1.0)))
8.1b	(* (/ (/ x (+ x y)) (+ x y)) y)

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

297×	`*-un-lft-identity`
285×	`times-frac`
143×	`add-sqr-sqrt`
134×	`add-cube-cbrt`
85×	`distribute-lft-out`
82×	`add-exp-log`
79×	`associate-l`
52×	`add-cbrt-cube`
31×	`prod-exp`
28×	`div-exp`
26×	`associate-/r/`
24×	`associate-r`
21×	`associate-/l*`
17×	`cbrt-undiv` `cbrt-unprod`
13×	`flip3-+` `flip-+` `div-inv`
12×	`pow1`
9×	`associate-/r*`
5×	`rec-exp` `1-exp`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `pow-flip` `associate-*r/` `un-div-inv` `associate-/l/` `inv-pow`

Counts

4 → 312

Calls

4 calls:

36.0ms	(/ 1 (+ (+ x y) 1.0))
26.0ms	(/ (/ x (+ x y)) (+ x y))
130.0ms	(* (* (/ (/ x (+ x y)) (+ x y)) y) (/ 1 (+ (+ x y) 1.0)))
68.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

series312.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ 1 (+ (+ x y) 1.0))
59.0ms	(/ (/ x (+ x y)) (+ x y))
149.0ms	(* (* (/ (/ x (+ x y)) (+ x y)) y) (/ 1 (+ (+ x y) 1.0)))
74.0ms	(* (/ (/ x (+ x y)) (+ x y)) y)

simplify110.0ms

Algorithm

egg-herbie

Counts

324 → 324

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	984	2626
1	4800	2338
2	5001	2337

prune482.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b 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	9
1	17	9

end0.0ms

sample377.0ms

Algorithm

intervals

Results

210.0ms

8000×

body

valid