Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	36	4
2	73	4
3	127	4
4	167	4
5	185	4
6	187	4
7	187	4

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: 14.9b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

14.5b

(/ (* (* x 2.0) y) (- x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`times-frac` `associate-/r*`
3×	`cbrt-undiv` `add-cube-cbrt` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

11.0ms

(/ (* (* x 2.0) y) (- x y))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(/ (* (* x 2.0) y) (- x y))

simplify32.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	214	194
1	1150	161
2	5001	161

prune55.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Merged error: 0.0b

Counts

35 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
7.1b	(* (* x 2.0) (/ y (- x y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt` `associate-r`
16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

2 → 82

Calls

2 calls:

5.0ms	(/ y (- x y))
13.0ms	(* (* x 2.0) (/ y (- x y)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ y (- x y))
60.0ms	(* (* x 2.0) (/ y (- x y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	315	451
1	1665	401
2	5001	401

prune118.0ms

Filtered

88 candidates to 56 candidates (63.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	87	8	95

Merged error: 0b

Counts

95 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
7.9b	(/ (* x 2.0) (/ (- x y) y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/l*`
4×	`div-inv`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

2 → 100

Calls

2 calls:

6.0ms	(/ (- x y) y)
9.0ms	(/ (* x 2.0) (/ (- x y) y))

series90.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- x y) y)
65.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify59.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	392	620
1	1920	563
2	5001	562

prune187.0ms

Filtered

106 candidates to 75 candidates (70.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	5	0	5
Picked	1	0	1
Done	1	1	2
Total	110	4	114

Merged error: 0b

Counts

114 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) y)
0.2b	(/ 1 (/ (/ (- x y) y) (* x 2.0)))
7.9b	(/ (/ (- x y) y) (* x 2.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

269×	`times-frac`
139×	`add-sqr-sqrt` `*-un-lft-identity`
95×	`add-cube-cbrt`
61×	`add-exp-log`
35×	`div-exp` `add-cbrt-cube`
27×	`associate-/r` `associate-/l`
22×	`distribute-lft-out--` `difference-of-squares`
18×	`cbrt-undiv`
13×	`div-inv`
8×	`prod-exp`
5×	`rec-exp` `1-exp`
4×	`pow1` `cbrt-unprod`
3×	`expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `associate-/r/` `flip--` `inv-pow`

Counts

3 → 231

Calls

3 calls:

6.0ms	(/ (- x y) y)
12.0ms	(/ 1 (/ (/ (- x y) y) (* x 2.0)))
9.0ms	(/ (/ (- x y) y) (* x 2.0))

series144.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (- x y) y)
61.0ms	(/ 1 (/ (/ (- x y) y) (* x 2.0)))
59.0ms	(/ (/ (- x y) y) (* x 2.0))

simplify100.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	835	1908
1	4208	1667
2	5002	1545

prune240.0ms

Filtered

240 candidates to 129 candidates (53.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	240	4	244

Merged error: 0b

Counts

244 → 4

regimes50.0ms

Accuracy

96.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.0b

bsearch65.0ms

Steps

Iters	Range		Point
9	3.6647136876614563e-81	3.761851064189565e-76	8.754342837349848e-77
9	-3.158802752680781e+25	-4.3011407417229266e+20	-7.268427392043144e+20

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample355.0ms

Algorithm

intervals

Results

222.0ms

8000×

body

valid