Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

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

localize12.0ms

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))))
7.6b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite42.0ms

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:

6.0ms	(/ (* x y) 2.0)
7.0ms	(+ 1.0 (/ (* x y) 2.0))
16.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
10.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

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

prune117.0ms

Filtered

93 candidates to 68 candidates (26.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	3	94

Merged error: 0b

Counts

94 → 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))
7.6b	(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite57.0ms

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:

12.0ms	(+ 1.0 (/ x (/ 2.0 y)))
20.0ms	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
5.0ms	(/ x (/ 2.0 y))
14.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

series26.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify64.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 1 (14.0ms)

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

prune170.0ms

Filtered

142 candidates to 111 candidates (21.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0b

Counts

145 → 3

localize9.0ms

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))
7.5b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite44.0ms

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:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
18.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
9.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series32.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify61.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (45.0ms)

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

prune137.0ms

Filtered

164 candidates to 87 candidates (47.0%)

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

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ (* x y) 2.0) 3)
2.3b	(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
3.6b	(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
20.3b	(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
61×	`times-frac`
42×	`add-sqr-sqrt`
37×	`add-cube-cbrt`
35×	`unpow-prod-down` `cube-prod` `distribute-lft-out`
33×	`associate-l`
17×	`add-exp-log` `add-cbrt-cube`
9×	`associate-r/` `associate-/r`
7×	`pow1` `sum-cubes`
6×	`add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `flip-+` `div-inv`
3×	`frac-times` `pow-unpow` `associate-r` `associate-l/` `pow-exp` `prod-exp` `frac-sub` `cbrt-unprod` `associate-/l` `rem-cube-cbrt`
2×	`sub-div` `unswap-sqr`
1×	`cube-div` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-pow` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `pow-prod-down` `clear-num` `*-commutative` `flip--` `sqr-pow`

Counts

4 → 165

Calls

4 calls:

5.0ms	(pow (/ (* x y) 2.0) 3)
17.0ms	(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
7.0ms	(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
30.0ms	(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))))

series65.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(pow (/ (* x y) 2.0) 3)
14.0ms	(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
12.0ms	(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
32.0ms	(* (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (+ (* 1.0 1.0) (- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))))

simplify149.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	853	2110
1	4571	1877
2	5001	1873

prune320.0ms

Filtered

177 candidates to 108 candidates (39.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	177	3	180

Merged error: 0b

Counts

180 → 3

regimes72.0ms

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	10	5
1	10	5

end0.0ms

sample468.0ms

Algorithm

intervals

Results

257.0ms

8000×

body

valid

Details

sample32.0ms

simplify9.0ms

prune4.0ms

localize12.0ms

rewrite42.0ms

series28.0ms

simplify40.0ms

prune117.0ms

localize7.0ms

rewrite57.0ms

series26.0ms

simplify64.0ms

prune170.0ms

localize9.0ms

rewrite44.0ms

series32.0ms

simplify61.0ms

prune137.0ms

localize20.0ms

rewrite70.0ms

series65.0ms

simplify149.0ms

prune320.0ms

regimes72.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample468.0ms

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