Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify45.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 19.4b

Counts

2 → 1

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))
19.2b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite52.0ms

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))
15.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
21.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (+ x y) (+ x y))
39.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
155.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune264.0ms

Filtered

149 candidates to 88 candidates (59.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	143	6	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	144	6	150

Merged error: 8.8b

Counts

150 → 6

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)))
20.0b	(/ x (* (+ x y) (+ x y)))

rewrite57.0ms

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:

8.0ms	(* (+ x y) (+ x y))
7.0ms	(/ y (+ (+ x y) 1.0))
26.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
8.0ms	(/ x (* (+ x y) (+ x y)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x y) (+ x y))
44.0ms	(/ y (+ (+ x y) 1.0))
158.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
64.0ms	(/ x (* (+ x y) (+ x y)))

simplify101.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (81.0ms)

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

prune262.0ms

Filtered

182 candidates to 112 candidates (61.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	175	7	182
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	180	8	188

Merged error: 0.0b

Counts

188 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 203

Calls

4 calls:

9.0ms	(/ x (+ x y))
5.0ms	(/ 1 (+ x y))
17.0ms	(* (/ 1 (+ x y)) (/ x (+ x y)))
21.0ms	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ x (+ x y))
37.0ms	(/ 1 (+ x y))
59.0ms	(* (/ 1 (+ x y)) (/ x (+ x y)))
161.0ms	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

simplify113.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	807	1562
1	4532	1280
2	5003	1254

prune252.0ms

Filtered

215 candidates to 113 candidates (52.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	211	4	215
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	216	7	223

Merged error: 0b

Counts

223 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

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-l`
18×	`associate-r`
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:

7.0ms	(/ y (+ (+ x y) 1.0))
5.0ms	(/ x (+ x y))
20.0ms	(* (/ y (+ (+ x y) 1.0)) (/ x (+ x y)))
16.0ms	(/ (* (/ y (+ (+ x y) 1.0)) (/ x (+ x y))) (+ x y))

series376.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ y (+ (+ x y) 1.0))
38.0ms	(/ x (+ x y))
127.0ms	(* (/ y (+ (+ x y) 1.0)) (/ x (+ x y)))
162.0ms	(/ (* (/ y (+ (+ x y) 1.0)) (/ x (+ x y))) (+ x y))

simplify80.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	635	1297
1	3437	1135
2	5002	1135

prune238.0ms

Filtered

179 candidates to 118 candidates (65.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	180	6	186

Merged error: 0b

Counts

186 → 6

regimes42.0ms

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	16	9
1	16	9

end0.0ms

sample392.0ms

Algorithm

intervals

Results

267.0ms

8000×

body

valid