Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

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)
6.9b	(/ 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)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (30.0ms)

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

prune92.0ms

Filtered

60 candidates to 43 candidates (71.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Merged error: 0b

Counts

61 → 3

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))
6.8b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite26.0ms

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)
9.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series129.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* x y) 2.0)
59.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
52.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (50.0ms)

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

prune157.0ms

Filtered

151 candidates to 78 candidates (51.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	151	3	154

Merged error: 0b

Counts

154 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
0.1b	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
3.8b	(sqrt (+ 1.0 (/ (* x y) 2.0)))
3.8b	(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt`
85×	`times-frac`
80×	`*-un-lft-identity`
59×	`sqrt-prod`
50×	`add-cube-cbrt`
30×	`add-exp-log`
27×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
12×	`distribute-lft-out`
10×	`pow1` `sqrt-div` `div-exp`
8×	`prod-exp`
7×	`associate-/r*`
6×	`associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`rec-exp` `pow-flip` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `associate-/l*`
2×	`rem-sqrt-square`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 176

Calls

4 calls:

27.0ms	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
7.0ms	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
4.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

series438.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))))
183.0ms	(/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0))))
94.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
99.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify87.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	682	2222
1	3451	1941
2	5002	1780

prune275.0ms

Filtered

188 candidates to 102 candidates (54.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	188	3	191

Merged error: 0b

Counts

191 → 3

regimes43.0ms

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	5
1	11	5

end0.0ms

sample398.0ms

Algorithm

intervals

Results

267.0ms	7997×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	1280	valid

Details

sample16.0ms

simplify7.0ms

prune2.0ms

localize7.0ms

rewrite12.0ms

series82.0ms

simplify35.0ms

prune92.0ms

localize8.0ms

rewrite26.0ms

series129.0ms

simplify64.0ms

prune157.0ms

localize10.0ms

rewrite49.0ms

series438.0ms

simplify87.0ms

prune275.0ms

regimes43.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample398.0ms

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