Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

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

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 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
7.2b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite26.0ms

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

series28.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* x y) 2.0)
5.0ms	(+ 1.0 (/ (* x y) 2.0))
7.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
12.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (35.0ms)

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

prune106.0ms

Filtered

68 candidates to 93 candidates (-36.8%)

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: 0b

Counts

94 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.1b	(/ (+ 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:

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

series31.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
7.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
12.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify59.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (43.0ms)

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

prune130.0ms

Filtered

87 candidates to 164 candidates (-88.5%)

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: 0b

Counts

167 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ x (/ 2.0 y)))
0.0b	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
0.2b	(/ x (/ 2.0 y))
7.2b	(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

88×	`times-frac`
67×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
17×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`distribute-lft-out`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-/r/`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `flip--` `distribute-lft-out--`

Counts

4 → 130

Calls

4 calls:

11.0ms	(+ 1.0 (/ x (/ 2.0 y)))
17.0ms	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
5.0ms	(/ x (/ 2.0 y))
15.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ 1.0 (/ x (/ 2.0 y)))
10.0ms	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
3.0ms	(/ x (/ 2.0 y))
11.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	585	955
1	2546	913
2	5001	913

prune153.0ms

Filtered

111 candidates to 142 candidates (-27.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	142	3	145

Merged error: 0b

Counts

145 → 3

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample445.0ms

Algorithm

intervals

Results

262.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample21.0ms

simplify7.0ms

prune2.0ms

localize7.0ms

rewrite26.0ms

series28.0ms

simplify47.0ms

prune106.0ms

localize8.0ms

rewrite41.0ms

series31.0ms

simplify59.0ms

prune130.0ms

localize7.0ms

rewrite52.0ms

series29.0ms

simplify63.0ms

prune153.0ms

regimes101.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample445.0ms

Profiling