Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 (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: 15.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

14.6b

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

142×	`add-sqr-sqrt`
110×	`times-frac`
100×	`*-un-lft-identity`
90×	`associate-l`
54×	`add-cube-cbrt`
36×	`associate-r`
24×	`unswap-sqr`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/l*`
12×	`*-commutative`
10×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
3×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/r/`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 157

Calls

1 calls:

16.0ms

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

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify124.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	679	1325
1	3812	1292
2	5001	1292

prune201.0ms

Filtered

160 candidates to 108 candidates (32.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	3	161

Merged error: 0b

Counts

161 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (* x 2.0))
6.7b	(/ y (/ (- x y) (* x 2.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

492×	`times-frac`
392×	`add-sqr-sqrt`
338×	`*-un-lft-identity`
214×	`add-cube-cbrt`
88×	`associate-/r*`
81×	`associate-r` `associate-l`
62×	`distribute-lft-out--` `difference-of-squares`
27×	`*-commutative` `unswap-sqr`
22×	`associate-/r/`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `flip3--` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`div-sub`

Counts

2 → 395

Calls

2 calls:

15.0ms	(/ (- x y) (* x 2.0))
21.0ms	(/ y (/ (- x y) (* x 2.0)))

series114.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- x y) (* x 2.0))
70.0ms	(/ y (/ (- x y) (* x 2.0)))

simplify89.0ms

Algorithm

egg-herbie

Counts

401 → 401

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	1245	3515
1	5001	3430

prune494.0ms

Filtered

401 candidates to 268 candidates (33.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	401	0	401
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	401	3	404

Merged error: 0b

Counts

404 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (* 2.0 y))
6.9b	(/ x (/ (- x y) (* 2.0 y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

492×	`times-frac`
392×	`add-sqr-sqrt`
338×	`*-un-lft-identity`
214×	`add-cube-cbrt`
88×	`associate-/r*`
81×	`associate-r` `associate-l`
62×	`distribute-lft-out--` `difference-of-squares`
27×	`*-commutative` `unswap-sqr`
22×	`associate-/r/`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `flip3--` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`div-sub`

Counts

2 → 395

Calls

2 calls:

11.0ms	(/ (- x y) (* 2.0 y))
21.0ms	(/ x (/ (- x y) (* 2.0 y)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- x y) (* 2.0 y))
68.0ms	(/ x (/ (- x y) (* 2.0 y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

401 → 401

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1246	3515
1	5001	3430

prune706.0ms

Filtered

401 candidates to 268 candidates (33.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	401	0	401
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	401	3	404

Merged error: 0b

Counts

404 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- x y))
14.7b	(* (* (* x 2.0) y) (/ 1 (- x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
45×	`add-exp-log`
37×	`associate-l`
36×	`times-frac`
28×	`add-cube-cbrt`
27×	`associate-r`
25×	`add-cbrt-cube`
24×	`prod-exp`
22×	`unswap-sqr`
12×	`pow1` `cbrt-unprod`
11×	`associate-*r/`
10×	`associate-/r*`
8×	`div-exp` `distribute-lft-out--` `difference-of-squares`
7×	`associate-/l*`
6×	`pow-prod-down`
4×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r/`
3×	`clear-num` `un-div-inv` `*-commutative`
2×	`expm1-log1p-u` `flip3--` `frac-2neg` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 140

Calls

2 calls:

5.0ms	(/ 1 (- x y))
28.0ms	(* (* (* x 2.0) y) (/ 1 (- x y)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ 1 (- x y))
66.0ms	(* (* (* x 2.0) y) (/ 1 (- x y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	556	876
1	2717	739
2	5001	692

prune137.0ms

Filtered

146 candidates to 83 candidates (43.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	146	3	149

Merged error: 0b

Counts

149 → 3

regimes46.0ms

Accuracy

89.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.6b

bsearch54.0ms

Steps

Iters	Range		Point
8	1.212700641608673e-73	1.1540985651558744e-69	1.018835259026568e-69
8	-1.667297380401538e+97	-4.1632770670944174e+93	-4.252119967371529e+93

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample306.0ms

Algorithm

intervals

Results

183.0ms

8000×

body

valid