Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify47.0ms

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: 21.0b

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))
20.8b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite224.0ms

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:

32.0ms	(* (+ x y) (+ x y))
113.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
69.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* (+ x y) (+ x y))
42.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
152.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune290.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.4b

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)))
19.4b	(/ x (* (+ x y) (+ x y)))

rewrite220.0ms

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:

33.0ms	(* (+ x y) (+ x y))
34.0ms	(/ y (+ (+ x y) 1.0))
131.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
15.0ms	(/ x (* (+ x y) (+ x y)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x y) (+ x y))
47.0ms	(/ y (+ (+ x y) 1.0))
150.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
64.0ms	(/ x (* (+ x y) (+ x y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (81.0ms)

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

prune320.0ms

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)))

rewrite243.0ms

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:

35.0ms	(/ y (+ (+ x y) 1.0))
11.0ms	(/ x (+ x y))
28.0ms	(/ (/ x (+ x y)) (+ x y))
151.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ y (+ (+ x y) 1.0))
36.0ms	(/ x (+ x y))
63.0ms	(/ (/ x (+ x y)) (+ x y))
156.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify105.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (80.0ms)

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

prune543.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
8.0b	(cbrt (/ x (+ x y)))
8.0b	(cbrt (/ x (+ x y)))
8.0b	(cbrt (/ x (+ x y)))

rewrite86.0ms

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:

56.0ms	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
5.0ms	(cbrt (/ x (+ x y)))
5.0ms	(cbrt (/ x (+ x y)))
9.0ms	(cbrt (/ x (+ x y)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
123.0ms	(cbrt (/ x (+ x y)))
118.0ms	(cbrt (/ x (+ x y)))
119.0ms	(cbrt (/ x (+ x y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 3 (55.0ms)

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

prune504.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes56.0ms

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

sample411.0ms

Algorithm

intervals

Results

226.0ms

8000×

body

valid