Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify61.0ms

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

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: 21.7b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
21.5b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite58.0ms

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:

9.0ms	(* (+ x y) (+ x y))
21.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
20.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* (+ x y) (+ x y))
48.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
194.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune304.0ms

Filtered

149 candidates to 88 candidates (59.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	141	8	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	8	150

Merged error: 9.7b

Counts

150 → 8

localize9.0ms

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)))
21.6b	(/ x (* (+ x y) (+ x y)))

rewrite58.0ms

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:

9.0ms	(* (+ x y) (+ x y))
8.0ms	(/ y (+ (+ x y) 1.0))
24.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
9.0ms	(/ x (* (+ x y) (+ x y)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (+ x y) (+ x y))
60.0ms	(/ y (+ (+ x y) 1.0))
195.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
77.0ms	(/ x (* (+ x y) (+ x y)))

simplify118.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (101.0ms)

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

prune316.0ms

Filtered

182 candidates to 112 candidates (61.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	176	6	182
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	181	9	190

Merged error: 0.0b

Counts

190 → 9

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)))

rewrite96.0ms

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))
6.0ms	(/ x (+ x y))
12.0ms	(/ (/ x (+ x y)) (+ x y))
48.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ y (+ (+ x y) 1.0))
52.0ms	(/ x (+ x y))
71.0ms	(/ (/ x (+ x y)) (+ x y))
198.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify144.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (107.0ms)

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

prune757.0ms

Filtered

322 candidates to 194 candidates (60.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	317	5	322
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	323	8	331

Merged error: 0b

Counts

331 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ x y))
0.1b	(/ (* x (/ 1 (+ x y))) (+ x y))
0.1b	(* (/ (* x (/ 1 (+ x y))) (+ x y)) (/ y (+ (+ x y) 1.0)))
0.2b	(* x (/ 1 (+ x y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
71×	`*-un-lft-identity`
52×	`add-cbrt-cube`
50×	`times-frac`
47×	`add-sqr-sqrt`
39×	`associate-r`
35×	`add-cube-cbrt`
31×	`div-exp`
28×	`prod-exp`
19×	`distribute-lft-out`
18×	`cbrt-undiv`
16×	`cbrt-unprod`
13×	`associate-l`
10×	`associate-/r/`
9×	`pow1`
8×	`associate-/r*`
5×	`rec-exp` `flip3-+` `1-exp` `flip-+` `div-inv` `unswap-sqr`
4×	`associate-/l*` `add-log-exp`
3×	`associate-*r/`
2×	`frac-2neg` `pow-prod-down` `clear-num` `un-div-inv` `*-commutative` `associate-/l/`
1×	`frac-times` `pow-flip` `associate-*l/` `inv-pow`

Counts

4 → 174

Calls

4 calls:

10.0ms	(/ 1 (+ x y))
12.0ms	(/ (* x (/ 1 (+ x y))) (+ x y))
24.0ms	(* (/ (* x (/ 1 (+ x y))) (+ x y)) (/ y (+ (+ x y) 1.0)))
11.0ms	(* x (/ 1 (+ x y)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ 1 (+ x y))
78.0ms	(/ (* x (/ 1 (+ x y))) (+ x y))
184.0ms	(* (/ (* x (/ 1 (+ x y))) (+ x y)) (/ y (+ (+ x y) 1.0)))
45.0ms	(* x (/ 1 (+ x y)))

simplify112.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	705	1308
1	4047	1080
2	5001	1027

prune230.0ms

Filtered

186 candidates to 104 candidates (55.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	186	8	194

Merged error: 0b

Counts

194 → 8

regimes54.0ms

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	9
1	17	9

end0.0ms

sample385.0ms

Algorithm

intervals

Results

250.0ms

8000×

body

valid