Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

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

prune7.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b	(+ 1.0 (/ (* x y) 2.0))
6.4b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`times-frac`
15×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`distribute-lft-out`
4×	`pow1` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `associate-/r/` `flip-+` `div-inv` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `prod-exp` `sum-log` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

4.0ms	(/ (* x y) 2.0)
9.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
4.0ms	(+ 1.0 (/ (* x y) 2.0))
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* x y) 2.0)
7.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
5.0ms	(+ 1.0 (/ (* x y) 2.0))
11.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	378	589
1	1545	551
2	5001	545

prune581.0ms

Filtered

93 candidates to 68 candidates (26.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	3	94

Merged error: 0.0b

Counts

94 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.0b	(+ 1.0 (/ (* x y) 2.0))
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.4b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
101×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
19×	`associate-/r*`
17×	`add-exp-log` `distribute-lft-out`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv` `associate-/l*`
5×	`pow1` `difference-of-squares`
4×	`cbrt-undiv`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `pow-flip` `diff-log` `sum-log` `associate-/r/` `flip--` `inv-pow`

Counts

4 → 152

Calls

4 calls:

16.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
4.0ms	(+ 1.0 (/ (* x y) 2.0))
8.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series34.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
5.0ms	(+ 1.0 (/ (* x y) 2.0))
10.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
11.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	548	1492
1	2384	1275
2	5002	1266

prune527.0ms

Filtered

164 candidates to 86 candidates (47.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	164	3	167

Merged error: 0.0b

Counts

167 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(+ 1.0 (/ (* x y) 2.0))
1.9b	(* (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))))
1.9b	(/ (sqrt y) (+ 1.0 (/ (* x y) 2.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
55×	`times-frac`
40×	`add-cube-cbrt`
35×	`sqrt-prod`
30×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
14×	`distribute-lft-out`
7×	`associate-/r` `associate-/l`
6×	`pow1` `associate-l` `add-log-exp` `unswap-sqr`
4×	`cbrt-undiv` `div-exp` `associate-/r/`
3×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 137

Calls

4 calls:

4.0ms	(/ (* x y) 2.0)
4.0ms	(+ 1.0 (/ (* x y) 2.0))
16.0ms	(* (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))))
6.0ms	(/ (sqrt y) (+ 1.0 (/ (* x y) 2.0)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (* x y) 2.0)
5.0ms	(+ 1.0 (/ (* x y) 2.0))
13.0ms	(* (sqrt y) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))))
15.0ms	(/ (sqrt y) (+ 1.0 (/ (* x y) 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	582	1198
1	2735	1078
2	5001	1054

prune863.0ms

Filtered

149 candidates to 94 candidates (36.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	149	3	152

Merged error: 0.0b

Counts

152 → 3

regimes111.0ms

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

sample459.0ms

Algorithm

intervals

Results

250.0ms	7997×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample19.0ms

simplify6.0ms

prune7.0ms

localize6.0ms

rewrite25.0ms

series27.0ms

simplify40.0ms

prune581.0ms

localize8.0ms

rewrite41.0ms

series34.0ms

simplify58.0ms

prune527.0ms

localize9.0ms

rewrite36.0ms

series36.0ms

simplify75.0ms

prune863.0ms

regimes111.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample459.0ms

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