Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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))))
6.7b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite34.0ms

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:

3.0ms	(/ (* x y) 2.0)
4.0ms	(+ 1.0 (/ (* x y) 2.0))
16.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
8.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* x y) 2.0)
35.0ms	(+ 1.0 (/ (* x y) 2.0))
42.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
72.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (47.0ms)

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

prune182.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
0.0b	(+ 1.0 (/ (* x y) 2.0))
0.1b	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
6.7b	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`distribute-lft-out` `add-log-exp`
7×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`flip3-+` `associate-l` `flip-+` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `flip--` `inv-pow`

Counts

4 → 102

Calls

4 calls:

2.0ms	(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
4.0ms	(+ 1.0 (/ (* x y) 2.0))
11.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
22.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series184.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
33.0ms	(+ 1.0 (/ (* x y) 2.0))
53.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
62.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	427	818
1	1905	729
2	5001	690

prune188.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

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))
6.6b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite65.0ms

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))
30.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
11.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
14.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series187.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 1.0 (/ (* x y) 2.0))
37.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
60.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
55.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify61.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	548	1496
1	2384	1279
2	5002	1270

prune237.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
0.0b	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
0.1b	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

13.0ms	(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
2.0ms	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
6.0ms	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

series121.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- x (/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y)))))
38.0ms	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
51.0ms	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	309	609
1	1221	551
2	5001	547

prune120.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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

sample349.0ms

Algorithm

intervals

Results

219.0ms	7998×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid