Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

331×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	65	5
2	175	5
3	475	5
4	1183	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: 6.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
5.7b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
10×	`add-sqr-sqrt`
8×	`frac-times` `*-un-lft-identity` `associate-/l/`
5×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `add-cube-cbrt` `associate-r/` `div-exp` `associate-l/`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 63

Calls

2 calls:

12.0ms	(* (- 1.0 x) (- 3.0 x))
11.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series65.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(* (- 1.0 x) (- 3.0 x))
43.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	413	460
1	2310	393
2	5001	393

prune107.0ms

Filtered

69 candidates to 47 candidates (68.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
49×	`times-frac`
30×	`add-cube-cbrt`
19×	`associate-r` `associate-l`
16×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
5×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-/r*` `div-inv`
2×	`associate-/l/` `add-log-exp`
1×	`frac-times` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `flip--`

Counts

2 → 100

Calls

2 calls:

6.0ms	(/ (- 3.0 x) 3.0)
19.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series81.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 3.0 x) 3.0)
42.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	485	695
1	2040	629
2	5001	628

prune165.0ms

Filtered

106 candidates to 75 candidates (70.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	106	4	110

Merged error: 0b

Counts

110 → 4

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)

rewrite50.0ms

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×	`flip3--` `div-sub` `prod-exp` `flip--` `cbrt-unprod` `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 → 222

Calls

3 calls:

6.0ms	(/ (- 3.0 x) 3.0)
23.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
9.0ms	(/ (/ (- 3.0 x) 3.0) y)

series125.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (- 3.0 x) 3.0)
43.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
42.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify110.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	794	1722
1	3986	1628
2	5002	1628

prune447.0ms

Filtered

231 candidates to 170 candidates (73.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	231	4	235

Merged error: 0b

Counts

235 → 4

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
0.4b	(/ (* y 3.0) (- 3.0 x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
68×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
20×	`distribute-lft-out--` `difference-of-squares`
16×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
15×	`associate-/r/`
8×	`flip3--` `flip--` `div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/l*`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 118

Calls

2 calls:

14.0ms	(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
11.0ms	(/ (* y 3.0) (- 3.0 x))

series82.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
40.0ms	(/ (* y 3.0) (- 3.0 x))

simplify74.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	629	1107
1	2875	1038
2	5001	1035

prune183.0ms

Filtered

124 candidates to 88 candidates (71.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	124	4	128

Merged error: 0b

Counts

128 → 4

regimes82.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample462.0ms

Algorithm

intervals

Results

281.0ms

10627×

body

valid