Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

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: 0.0b

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))))
9.2b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite38.0ms

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

series155.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (* x y) 2.0)
34.0ms	(+ 1.0 (/ (* x y) 2.0))
34.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
65.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (33.0ms)

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

prune175.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

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)))
0.3b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
9.2b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite67.0ms

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))
31.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
12.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
14.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series183.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 1.0 (/ (* x y) 2.0))
34.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
62.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
50.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (44.0ms)

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

prune238.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b	(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
4.3b	(sqrt (+ 1.0 (/ (* x y) 2.0)))
4.3b	(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
306×	`*-un-lft-identity`
232×	`sqrt-prod`
192×	`add-sqr-sqrt`
190×	`add-cube-cbrt`
58×	`distribute-lft-out`
30×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/l/`

Counts

4 → 317

Calls

4 calls:

10.0ms	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
31.0ms	(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
7.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
7.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
66.0ms	(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
101.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
103.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify101.0ms

Algorithm

egg-herbie

Counts

329 → 329

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	824	5529
1	3222	4926
2	5001	4840

prune481.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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

sample534.0ms

Algorithm

intervals

Results

401.0ms	7999×	body	80	valid
0.0ms	1×	body	2560	valid