Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify11.0ms

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

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

localize11.0ms

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))))
7.8b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite50.0ms

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:

8.0ms	(/ (* x y) 2.0)
8.0ms	(+ 1.0 (/ (* x y) 2.0))
17.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
13.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* x y) 2.0)
50.0ms	(+ 1.0 (/ (* x y) 2.0))
33.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
91.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (34.0ms)

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

prune140.0ms

Filtered

93 candidates to 68 candidates (73.1%)

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ 1 (/ 2.0 (* x y))))
0.4b	(/ 1 (/ 2.0 (* x y)))
0.6b	(/ 2.0 (* x y))
7.8b	(/ y (+ 1.0 (/ 1 (/ 2.0 (* x y)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

51×	`times-frac`
47×	`*-un-lft-identity`
32×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
20×	`add-cbrt-cube`
15×	`div-exp`
13×	`associate-/r*`
12×	`div-inv`
10×	`distribute-lft-out`
9×	`associate-/l*`
8×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`prod-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/r/`
2×	`flip3-+` `cbrt-unprod` `flip-+`
1×	`+-commutative` `pow-flip` `sum-log` `inv-pow`

Counts

4 → 127

Calls

4 calls:

8.0ms	(+ 1.0 (/ 1 (/ 2.0 (* x y))))
6.0ms	(/ 1 (/ 2.0 (* x y)))
4.0ms	(/ 2.0 (* x y))
12.0ms	(/ y (+ 1.0 (/ 1 (/ 2.0 (* x y)))))

series136.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 1.0 (/ 1 (/ 2.0 (* x y))))
19.0ms	(/ 1 (/ 2.0 (* x y)))
20.0ms	(/ 2.0 (* x y))
62.0ms	(/ y (+ 1.0 (/ 1 (/ 2.0 (* x y)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	474	847
1	2231	724
2	5001	715

prune150.0ms

Filtered

139 candidates to 79 candidates (56.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	139	3	142

Merged error: 0b

Counts

142 → 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))
7.8b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite49.0ms

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))
22.0ms	(- 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)

series182.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 1.0 (/ (* x y) 2.0))
36.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
63.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
49.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (48.0ms)

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

prune179.0ms

Filtered

164 candidates to 87 candidates (53.0%)

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
2.6b	(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
3.2b	(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
23.4b	(* (/ 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)))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
67×	`times-frac`
47×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
40×	`add-cube-cbrt` `associate-l`
35×	`distribute-lft-out`
28×	`unpow-prod-down` `cube-prod`
17×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
13×	`pow1`
10×	`associate-r/` `associate-r*`
9×	`associate-/r*`
7×	`swap-sqr` `sum-cubes`
6×	`div-inv` `add-log-exp`
4×	`frac-times` `flip3-+` `associate-*l/` `associate-/r/` `flip-+`
3×	`frac-sub` `associate-/l*` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `sub-div`
1×	`pow2` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `flip--`

Counts

4 → 185

Calls

4 calls:

10.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
16.0ms	(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
8.0ms	(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
33.0ms	(* (/ 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)))))

series339.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
64.0ms	(/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3)))
76.0ms	(- (* (/ (* x y) 2.0) (/ (* x y) 2.0)) (* 1.0 (/ (* x y) 2.0)))
163.0ms	(* (/ 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)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	951	2308
1	5001	2019

prune387.0ms

Filtered

197 candidates to 118 candidates (59.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	197	3	200

Merged error: 0b

Counts

200 → 3

regimes31.0ms

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	15	6
1	15	6

end0.0ms

sample384.0ms

Algorithm

intervals

Results

255.0ms

8000×

body

valid

Details

sample26.0ms

simplify11.0ms

prune2.0ms

localize11.0ms

rewrite50.0ms

series200.0ms

simplify42.0ms

prune140.0ms

localize8.0ms

rewrite35.0ms

series136.0ms

simplify62.0ms

prune150.0ms

localize8.0ms

rewrite49.0ms

series182.0ms

simplify64.0ms

prune179.0ms

localize17.0ms

rewrite75.0ms

series339.0ms

simplify54.0ms

prune387.0ms

regimes31.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample384.0ms

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