Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

363×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 5.5b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
5.2b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 85

Calls

2 calls:

10.0ms	(* (- 1.0 x) (- 3.0 x))
13.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series80.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 x) (- 3.0 x))
50.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	497	758
1	2837	559
2	5002	559

prune183.0ms

Filtered

91 candidates to 53 candidates (58.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`times-frac`
41×	`add-cube-cbrt`
19×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `frac-2neg` `div-sub` `clear-num` `flip--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 144

Calls

3 calls:

6.0ms	(/ (- 3.0 x) 3.0)
7.0ms	(/ (- 1.0 x) y)
18.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series131.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- 3.0 x) 3.0)
35.0ms	(/ (- 1.0 x) y)
53.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	571	920
1	2402	835
2	5001	834

prune337.0ms

Filtered

153 candidates to 110 candidates (71.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	150	3	153
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	154	5	159

Merged error: 0b

Counts

159 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
178×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
117×	`add-cube-cbrt`
61×	`associate-r`
26×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `associate-l`
3×	`expm1-log1p-u` `flip3--` `div-sub` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 228

Calls

3 calls:

7.0ms	(/ (- 3.0 x) 3.0)
24.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
9.0ms	(/ (/ (- 3.0 x) 3.0) y)

series370.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- 3.0 x) 3.0)
286.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
41.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify127.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	810	1746
1	4035	1652
2	5003	1649

prune568.0ms

Filtered

237 candidates to 175 candidates (73.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	237	5	242

Merged error: 0b

Counts

242 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.1b	(/ (- 3.0 x) (cbrt 3.0))
0.3b	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
0.3b	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
157×	`add-sqr-sqrt`
130×	`*-un-lft-identity`
78×	`add-cube-cbrt`
61×	`add-exp-log`
43×	`add-cbrt-cube`
36×	`cbrt-prod`
34×	`associate-r`
29×	`associate-/l*`
26×	`distribute-lft-out--` `difference-of-squares`
25×	`cbrt-undiv` `div-exp`
23×	`associate-l`
16×	`prod-exp` `cbrt-unprod`
10×	`associate-/r*`
9×	`unswap-sqr`
8×	`div-inv`
6×	`pow1`
5×	`associate-/l/`
4×	`expm1-log1p-u` `div-sub` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `flip--`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 259

Calls

4 calls:

7.0ms	(/ (- 1.0 x) y)
8.0ms	(/ (- 3.0 x) (cbrt 3.0))
12.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
30.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (- 1.0 x) y)
90.0ms	(/ (- 3.0 x) (cbrt 3.0))
211.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
112.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify138.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1011	2528
1	4893	2249
2	5001	2249

prune723.0ms

Filtered

271 candidates to 196 candidates (72.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	271	5	276

Merged error: 0b

Counts

276 → 5

regimes63.0ms

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	10	5
1	10	5

end0.0ms

sample464.0ms

Algorithm

intervals

Results

285.0ms

10672×

body

valid