Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	42	4
3	44	4
4	44	4

prune1.0ms

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: 15.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

14.5b

(/ (+ x y) (* (* x 2.0) y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 29

Calls

1 calls:

8.0ms

(/ (+ x y) (* (* x 2.0) y))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(/ (+ x y) (* (* x 2.0) y))

simplify31.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	225	198
1	956	161
2	5001	161

prune50.0ms

Filtered

32 candidates to 21 candidates (65.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	2	33

Merged error: 0.0b

Counts

33 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	30	74
1	86	65
2	435	64
3	1988	59
4	5001	59

prune28.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sqrt (+ x y)) y)
0.1b	(/ (sqrt (+ x y)) (* x 2.0))
3.9b	(* (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
58×	`times-frac`
48×	`add-sqr-sqrt`
41×	`sqrt-prod`
40×	`add-cube-cbrt`
31×	`add-exp-log` `add-cbrt-cube`
25×	`associate-r`
14×	`associate-/l*`
11×	`associate-l`
10×	`cbrt-undiv` `div-exp` `distribute-lft-out`
9×	`prod-exp` `cbrt-unprod`
5×	`pow1`
4×	`sqrt-div` `associate-/r*` `div-inv` `associate-/l/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 145

Calls

3 calls:

6.0ms	(/ (sqrt (+ x y)) y)
7.0ms	(/ (sqrt (+ x y)) (* x 2.0))
18.0ms	(* (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y))

series187.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (sqrt (+ x y)) y)
65.0ms	(/ (sqrt (+ x y)) (* x 2.0))
64.0ms	(* (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y))

simplify77.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	606	1253
1	2957	1060
2	5002	1029

prune226.0ms

Filtered

154 candidates to 98 candidates (63.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	153	3	156

Merged error: 0b

Counts

156 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) y)
6.4b	(/ (/ (+ x y) y) (* x 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
47×	`*-un-lft-identity`
27×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`associate-/l*`
16×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out`
7×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `div-inv`
3×	`associate-/l/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `flip-+`

Counts

2 → 89

Calls

2 calls:

5.0ms	(/ (+ x y) y)
9.0ms	(/ (/ (+ x y) y) (* x 2.0))

series67.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(/ (+ x y) y)
50.0ms	(/ (/ (+ x y) y) (* x 2.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	335	548
1	1236	490
2	5001	487

prune118.0ms

Filtered

95 candidates to 65 candidates (68.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample306.0ms

Algorithm

intervals

Results

184.0ms

8004×

body

valid