Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	266×	body	80	valid
7.0ms	232×	body	80	nan

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.2b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

124×	`add-sqr-sqrt`
87×	`times-frac`
80×	`*-un-lft-identity`
75×	`add-cube-cbrt`
60×	`associate-/r*`
54×	`associate-r`
44×	`frac-sub`
33×	`associate-l`
29×	`sqrt-prod`
23×	`flip3--` `flip--`
20×	`unswap-sqr`
16×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/l*`
11×	`*-commutative`
9×	`add-log-exp`
6×	`pow1`
4×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `difference-of-squares`
3×	`diff-log` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`sub-neg` `associate--l+` `div-inv`
1×	`associate--l-` `pow-prod-down`

Counts

4 → 234

Calls

4 calls:

42.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
8.0ms	(/ y (* 3.0 (sqrt x)))
7.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series178.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
67.0ms	(/ y (* 3.0 (sqrt x)))
17.0ms	(/ 1.0 (* x 9.0))
41.0ms	(* 3.0 (sqrt x))

simplify60.0ms

Algorithm

egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1165	2639
1	5001	2576

prune700.0ms

Filtered

246 candidates to 179 candidates (27.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	239	7	246
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	240	7	247

Merged error: 0b

Counts

247 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y (sqrt x)) 3.0))
0.2b	(/ y (sqrt x))
0.3b	(/ (/ y (sqrt x)) 3.0)
0.3b	(/ 1.0 (* x 9.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

233×	`times-frac`
177×	`add-sqr-sqrt`
161×	`*-un-lft-identity`
156×	`add-cube-cbrt`
81×	`associate-/l*`
80×	`frac-sub`
76×	`sqrt-prod`
45×	`associate-/r*`
41×	`flip3--` `flip--`
36×	`associate-/l/`
16×	`add-exp-log` `add-cbrt-cube`
12×	`associate-r` `associate-l`
9×	`div-inv` `add-log-exp`
8×	`frac-2neg` `clear-num`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `*-commutative` `difference-of-squares` `unswap-sqr`
3×	`diff-log` `distribute-lft-out--`
2×	`sub-neg` `associate--l+`
1×	`associate--l-` `prod-exp` `cbrt-unprod`

Counts

4 → 323

Calls

4 calls:

57.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y (sqrt x)) 3.0))
4.0ms	(/ y (sqrt x))
10.0ms	(/ (/ y (sqrt x)) 3.0)
7.0ms	(/ 1.0 (* x 9.0))

series182.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y (sqrt x)) 3.0))
49.0ms	(/ y (sqrt x))
67.0ms	(/ (/ y (sqrt x)) 3.0)
17.0ms	(/ 1.0 (* x 9.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1606	4412
1	5001	4285

prune685.0ms

Filtered

335 candidates to 237 candidates (29.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	332	3	335
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	336	6	342

Merged error: 0b

Counts

342 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (/ 1 (sqrt x)))
0.3b	(/ 1 (sqrt x))
0.3b	(/ (* y (/ 1 (sqrt x))) 3.0)
0.3b	(/ 1.0 (* x 9.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

269×	`times-frac`
228×	`add-sqr-sqrt`
172×	`*-un-lft-identity`
160×	`add-cube-cbrt`
122×	`associate-r`
73×	`sqrt-prod`
49×	`associate-/l*`
37×	`add-exp-log`
33×	`associate-/r*`
29×	`unswap-sqr`
27×	`associate-l`
25×	`add-cbrt-cube`
24×	`associate-*r/`
15×	`associate-/l/`
13×	`div-exp`
9×	`prod-exp` `*-commutative`
8×	`pow1` `cbrt-undiv` `div-inv`
7×	`clear-num`
6×	`un-div-inv`
5×	`frac-2neg` `cbrt-unprod`
4×	`add-log-exp`
3×	`rec-exp` `pow-flip` `1-exp`
1×	`sqrt-pow1` `pow1/2` `pow-prod-down` `inv-pow`

Counts

4 → 346

Calls

4 calls:

11.0ms	(* y (/ 1 (sqrt x)))
4.0ms	(/ 1 (sqrt x))
19.0ms	(/ (* y (/ 1 (sqrt x))) 3.0)
7.0ms	(/ 1.0 (* x 9.0))

series165.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* y (/ 1 (sqrt x)))
35.0ms	(/ 1 (sqrt x))
61.0ms	(/ (* y (/ 1 (sqrt x))) 3.0)
24.0ms	(/ 1.0 (* x 9.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

358 → 358

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1198	2423
1	5001	2158

prune564.0ms

Filtered

358 candidates to 213 candidates (40.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	358	6	364

Merged error: 0b

Counts

364 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y (sqrt x)) 3.0))
0.2b	(/ y (sqrt x))
0.3b	(/ (/ y (sqrt x)) 3.0)
0.3b	(/ (/ 1.0 x) 9.0)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

272×	`times-frac`
188×	`add-sqr-sqrt`
180×	`*-un-lft-identity`
175×	`add-cube-cbrt`
94×	`associate-/l*`
80×	`frac-sub`
76×	`sqrt-prod`
45×	`associate-/l/`
41×	`flip3--` `flip--`
39×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
13×	`div-inv`
9×	`frac-2neg` `clear-num` `add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `difference-of-squares`
3×	`diff-log` `distribute-lft-out--`
2×	`sub-neg` `associate--l+`
1×	`associate--l-`

Counts

4 → 336

Calls

4 calls:

56.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y (sqrt x)) 3.0))
4.0ms	(/ y (sqrt x))
9.0ms	(/ (/ y (sqrt x)) 3.0)
7.0ms	(/ (/ 1.0 x) 9.0)

series184.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y (sqrt x)) 3.0))
50.0ms	(/ y (sqrt x))
61.0ms	(/ (/ y (sqrt x)) 3.0)
23.0ms	(/ (/ 1.0 x) 9.0)

simplify91.0ms

Algorithm

egg-herbie

Counts

348 → 348

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1696	4535
1	5001	4403

prune731.0ms

Filtered

348 candidates to 252 candidates (27.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	348	0	348
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	348	6	354

Merged error: 0b

Counts

354 → 6

regimes52.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample813.0ms

Algorithm

intervals

Results

279.0ms	8538×	body	80	valid
255.0ms	8324×	body	80	nan