Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	25	5
3	26	5
4	26	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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* x y) 2.0)
5.9b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

4.0ms	(/ (* x y) 2.0)
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ (* x y) 2.0)
64.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify36.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	299	361
1	1304	334
2	5001	330

prune98.0ms

Filtered

60 candidates to 43 candidates (71.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	4	61

Merged error: 0.0b

Counts

61 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.3b	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
5.7b	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
23×	`add-cube-cbrt`
21×	`add-exp-log`
18×	`associate-r`
15×	`add-cbrt-cube`
7×	`associate-/r*` `distribute-lft-out`
6×	`pow1` `div-exp`
5×	`prod-exp`
4×	`cbrt-undiv` `associate-/r/` `associate-/l*`
3×	`associate-l` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 99

Calls

3 calls:

4.0ms	(/ (* x y) 2.0)
6.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
10.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series133.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* x y) 2.0)
52.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
63.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	442	686
1	2226	602
2	5001	564

prune132.0ms

Filtered

108 candidates to 63 candidates (58.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.0b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
95×	`*-un-lft-identity`
63×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
21×	`add-exp-log`
16×	`distribute-lft-out`
15×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv`
4×	`pow1`
3×	`frac-2neg` `clear-num` `add-log-exp`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`pow-flip` `flip3-+` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `inv-pow`

Counts

3 → 142

Calls

3 calls:

4.0ms	(/ (* x y) 2.0)
13.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series130.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* x y) 2.0)
62.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
49.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	534	1269
1	2636	1138
2	5002	1051

prune163.0ms

Filtered

151 candidates to 78 candidates (51.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	152	3	155

Merged error: 0b

Counts

155 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
0.1b	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3-+` `div-exp` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `sum-log` `div-inv` `inv-pow`

Counts

2 → 44

Calls

2 calls:

3.0ms	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
5.0ms	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

series88.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
53.0ms	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

simplify36.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	243	416
1	1034	377
2	5001	361

prune64.0ms

Filtered

50 candidates to 30 candidates (60.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	50	3	53

Merged error: 0b

Counts

53 → 3

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample394.0ms

Algorithm

intervals

Results

256.0ms	7998×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid