Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	8
1	156	8
2	539	8
3	2410	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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 146

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)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (+ x y) (+ x y))
40.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
159.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	934	1519
1	5002	1370

prune301.0ms

Filtered

155 candidates to 94 candidates (60.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	150	6	156

Merged error: 8.8b

Counts

156 → 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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 178

Calls

4 calls:

8.0ms	(* (+ x y) (+ x y))
7.0ms	(/ y (+ (+ x y) 1.0))
22.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
12.0ms	(/ x (* (+ x y) (+ x y)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) (+ x y))
45.0ms	(/ y (+ (+ x y) 1.0))
163.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
65.0ms	(/ x (* (+ x y) (+ x y)))

simplify99.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	677	1321
1	3704	1174
2	5001	1163

prune298.0ms

Filtered

190 candidates to 120 candidates (63.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	183	7	190
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	188	8	196

Merged error: 0.0b

Counts

196 → 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)))

rewrite64.0ms

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×	`expm1-log1p-u` `associate-*r/` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`pow-flip` `inv-pow`

Counts

4 → 211

Calls

4 calls:

5.0ms	(/ x (+ x y))
6.0ms	(/ 1 (+ x y))
17.0ms	(* (/ 1 (+ x y)) (/ x (+ x y)))
26.0ms	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ x (+ x y))
33.0ms	(/ 1 (+ x y))
67.0ms	(* (/ 1 (+ x y)) (/ x (+ x y)))
172.0ms	(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

simplify108.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	821	1605
1	4613	1322
2	5001	1322

prune460.0ms

Filtered

223 candidates to 124 candidates (55.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	219	4	223
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	224	7	231

Merged error: 0b

Counts

231 → 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))

rewrite59.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 175

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

series395.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ y (+ (+ x y) 1.0))
40.0ms	(/ x (+ x y))
132.0ms	(* (/ y (+ (+ x y) 1.0)) (/ x (+ x y)))
170.0ms	(/ (* (/ y (+ (+ x y) 1.0)) (/ x (+ x y))) (+ x y))

simplify86.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	651	1341
1	3517	1178
2	5001	1178

prune265.0ms

Filtered

187 candidates to 126 candidates (67.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	188	6	194

Merged error: 0b

Counts

194 → 6

regimes44.0ms

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

sample417.0ms

Algorithm

intervals

Results

287.0ms

8000×

body

valid