Details

sample24.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 17.8b

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))
17.7b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite117.0ms

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)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (+ x y) (+ x y))
44.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
155.0ms	(/ (* 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

prune286.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.7b

localize12.0ms

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)))
17.5b	(/ x (* (+ x y) (+ x y)))

rewrite118.0ms

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:

16.0ms	(* (+ x y) (+ x y))
18.0ms	(/ y (+ (+ x y) 1.0))
70.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms	(/ x (* (+ x y) (+ x y)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) (+ x y))
44.0ms	(/ y (+ (+ x y) 1.0))
157.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
63.0ms	(/ x (* (+ x y) (+ x y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (82.0ms)

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

prune318.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

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:

5.0ms	(/ x (+ x y))
17.0ms	(/ y (+ (+ x y) 1.0))
15.0ms	(/ (/ x (+ x y)) (+ x y))
96.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ x (+ x y))
49.0ms	(/ y (+ (+ x y) 1.0))
64.0ms	(/ (/ x (+ x y)) (+ x y))
160.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify109.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (78.0ms)

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

prune533.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
6.5b	(cbrt (/ x (+ x y)))
6.5b	(cbrt (/ x (+ x y)))
6.5b	(cbrt (/ x (+ x y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 180

Calls

4 calls:

38.0ms	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
3.0ms	(cbrt (/ x (+ x y)))
3.0ms	(cbrt (/ x (+ x y)))
3.0ms	(cbrt (/ x (+ x y)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
121.0ms	(cbrt (/ x (+ x y)))
123.0ms	(cbrt (/ x (+ x y)))
129.0ms	(cbrt (/ x (+ x y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	261	1712
1	848	1660
2	3122	1580
3	5001	1575

prune516.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes57.0ms

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	12	8
1	12	8

end0.0ms

sample569.0ms

Algorithm

intervals

Results

436.0ms

8000×

body

valid