Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

338×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	21	5
1	65	5
2	179	5
3	512	5
4	1357	5
5	5001	5

prune3.0ms

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: 4.3b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
4.0b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

224×	`add-sqr-sqrt`
192×	`times-frac`
162×	`*-un-lft-identity`
121×	`associate-r` `associate-l`
106×	`add-cube-cbrt`
31×	`*-commutative` `unswap-sqr`
28×	`distribute-lft-out--` `difference-of-squares`
18×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
12×	`flip3--` `associate-/r*` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times` `associate-/l/`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
2×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 302

Calls

2 calls:

10.0ms	(* (- 1.0 x) (- 3.0 x))
22.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series93.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (- 1.0 x) (- 3.0 x))
54.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify107.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 1 (66.0ms)

Iter	Nodes	Cost
0	1374	2931
1	5002	2732

prune444.0ms

Filtered

308 candidates to 190 candidates (61.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	303	5	308
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	304	5	309

Merged error: 0b

Counts

309 → 5

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (* (- 1.0 x) 1) (/ (* y 3.0) (- 3.0 x)))
0.2b	(/ (* y 3.0) (- 3.0 x))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

2010×	`times-frac`
1607×	`add-sqr-sqrt`
1299×	`*-un-lft-identity`
686×	`add-cube-cbrt`
596×	`associate-l`
462×	`associate-r`
273×	`distribute-lft-out--` `difference-of-squares`
221×	`unswap-sqr`
154×	`*-commutative`
76×	`associate-/r*`
54×	`associate-/r/`
39×	`associate-/l*`
37×	`add-exp-log`
28×	`add-cbrt-cube`
18×	`flip3--` `flip--` `div-inv`
17×	`div-exp`
12×	`cbrt-undiv`
10×	`prod-exp`
6×	`cbrt-unprod`
3×	`frac-2neg` `1-exp` `clear-num`
2×	`pow1` `expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 1215

Calls

2 calls:

46.0ms	(/ (* (- 1.0 x) 1) (/ (* y 3.0) (- 3.0 x)))
10.0ms	(/ (* y 3.0) (- 3.0 x))

series110.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (* (- 1.0 x) 1) (/ (* y 3.0) (- 3.0 x)))
58.0ms	(/ (* y 3.0) (- 3.0 x))

simplify349.0ms

Algorithm

egg-herbie

Counts

1221 → 1221

Iterations

Useful iterations: 1 (153.0ms)

Iter	Nodes	Cost
0	4155	15143
1	5002	14654

prune1.1s

Filtered

1221 candidates to 424 candidates (34.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1218	3	1221
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	1222	4	1226

Merged error: 0b

Counts

1226 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 3.0 (- 3.0 x))
0.1b	(* y (/ 3.0 (- 3.0 x)))
0.1b	(/ (* (- 1.0 x) 1) (* y (/ 3.0 (- 3.0 x))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

752×	`times-frac`
658×	`add-sqr-sqrt`
511×	`*-un-lft-identity`
453×	`associate-r`
299×	`add-cube-cbrt`
211×	`associate-l`
98×	`unswap-sqr`
89×	`distribute-lft-out--` `difference-of-squares`
49×	`associate-/r/` `*-commutative`
46×	`associate-/r*`
40×	`add-exp-log`
31×	`add-cbrt-cube`
26×	`associate-/l*`
22×	`associate-*r/`
19×	`flip3--` `flip--` `div-inv`
14×	`div-exp` `prod-exp`
10×	`cbrt-undiv`
9×	`cbrt-unprod`
6×	`clear-num`
5×	`pow1`
4×	`frac-2neg` `un-div-inv`
3×	`expm1-log1p-u` `1-exp` `log1p-expm1-u` `add-log-exp`
2×	`associate-*l/` `associate-/l/`
1×	`pow-prod-down`

Counts

3 → 646

Calls

3 calls:

6.0ms	(/ 3.0 (- 3.0 x))
12.0ms	(* y (/ 3.0 (- 3.0 x)))
40.0ms	(/ (* (- 1.0 x) 1) (* y (/ 3.0 (- 3.0 x))))

series145.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 3.0 (- 3.0 x))
55.0ms	(* y (/ 3.0 (- 3.0 x)))
56.0ms	(/ (* (- 1.0 x) 1) (* y (/ 3.0 (- 3.0 x))))

simplify196.0ms

Algorithm

egg-herbie

Counts

655 → 655

Iterations

Useful iterations: 1 (99.0ms)

Iter	Nodes	Cost
0	2635	7140
1	5001	6842

prune704.0ms

Filtered

655 candidates to 280 candidates (42.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	654	1	655
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	656	3	659

Merged error: 0b

Counts

659 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ (cbrt 3.0) (- 3.0 x)))
0.1b	(/ (cbrt 3.0) (- 3.0 x))
0.3b	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ 1 (/ (cbrt 3.0) (- 3.0 x))))
0.3b	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

5899×	`add-sqr-sqrt`
5221×	`times-frac`
4658×	`*-un-lft-identity`
3639×	`associate-/r*`
3065×	`add-cube-cbrt`
2604×	`frac-times`
2508×	`cbrt-prod`
1268×	`associate-/l*`
1009×	`associate-l`
767×	`distribute-lft-out--` `difference-of-squares`
660×	`associate-/l/`
618×	`associate-r`
520×	`swap-sqr`
517×	`unswap-sqr`
231×	`add-cbrt-cube`
180×	`add-exp-log`
173×	`div-inv`
170×	`associate-/r/`
157×	`clear-num`
155×	`frac-2neg`
137×	`cbrt-undiv`
115×	`flip3--` `flip--`
97×	`*-commutative`
91×	`div-exp`
84×	`cbrt-unprod`
62×	`associate-*l/`
51×	`prod-exp`
42×	`associate-*r/`
12×	`rec-exp` `1-exp`
7×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`un-div-inv`
2×	`div-sub` `remove-double-div`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 4420

Calls

4 calls:

14.0ms	(/ 1 (/ (cbrt 3.0) (- 3.0 x)))
7.0ms	(/ (cbrt 3.0) (- 3.0 x))
810.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ 1 (/ (cbrt 3.0) (- 3.0 x))))
28.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ 1 (/ (cbrt 3.0) (- 3.0 x)))
71.0ms	(/ (cbrt 3.0) (- 3.0 x))
122.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ 1 (/ (cbrt 3.0) (- 3.0 x))))
234.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))

simplify1.0s

Algorithm

egg-herbie

Counts

4432 → 4432

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	5002	79806

prune10.1s

Filtered

4432 candidates to 2703 candidates (61.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	4432	0	4432
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	4432	3	4435

Merged error: 0b

Counts

4435 → 3

regimes51.0ms

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	15	6
1	17	6
2	17	6

end0.0ms

sample441.0ms

Algorithm

intervals

Results

275.0ms

10548×

body

valid