Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify53.0ms

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: 22.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
22.6b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite55.0ms

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:

12.0ms	(* (+ x y) (+ x y))
16.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* (+ x y) (+ x y))
46.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
173.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	916	1489
1	5001	1351

prune301.0ms

Filtered

149 candidates to 88 candidates (59.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	139	10	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	10	150

Merged error: 8.6b

Counts

150 → 10

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

rewrite61.0ms

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))
7.0ms	(/ y (+ (+ x y) 1.0))
25.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
10.0ms	(/ x (* (+ x y) (+ x y)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ x y) (+ x y))
51.0ms	(/ y (+ (+ x y) 1.0))
169.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
67.0ms	(/ x (* (+ x y) (+ x y)))

simplify109.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (93.0ms)

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

prune308.0ms

Filtered

182 candidates to 112 candidates (61.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	174	8	182
Fresh	9	0	9
Picked	1	0	1
Done	0	0	0
Total	184	8	192

Merged error: 0.0b

Counts

192 → 8

localize11.0ms

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)))

rewrite90.0ms

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:

9.0ms	(/ x (+ x y))
7.0ms	(/ y (+ (+ x y) 1.0))
11.0ms	(/ (/ x (+ x y)) (+ x y))
43.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ x (+ x y))
54.0ms	(/ y (+ (+ x y) 1.0))
77.0ms	(/ (/ x (+ x y)) (+ x y))
182.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify131.0ms

Algorithm

egg-herbie

Counts

322 → 322

Iterations

Useful iterations: 2 (99.0ms)

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

prune525.0ms

Filtered

322 candidates to 194 candidates (60.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	318	4	322
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	324	6	330

Merged error: 0b

Counts

330 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

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-r`
18×	`associate-l`
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:

6.0ms	(/ x (+ x y))
12.0ms	(/ y (+ (+ x y) 1.0))
23.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
18.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

series421.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ x (+ x y))
55.0ms	(/ y (+ (+ x y) 1.0))
137.0ms	(* (/ x (+ x y)) (/ y (+ (+ x y) 1.0)))
184.0ms	(/ (* (/ x (+ x y)) (/ y (+ (+ x y) 1.0))) (+ x y))

simplify92.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	628	1285
1	3418	1122
2	5001	1122

prune296.0ms

Filtered

179 candidates to 117 candidates (65.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	179	6	185

Merged error: 0b

Counts

185 → 6

regimes50.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	8
1	12	8

end0.0ms

sample368.0ms

Algorithm

intervals

Results

238.0ms

8000×

body

valid