Details

sample25.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify8.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(/ (* x y) 2.0)
6.9b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`distribute-lft-out` `add-log-exp`
4×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `flip3-+` `clear-num` `associate-/r/` `flip-+` `div-inv`
1×	`+-commutative` `prod-exp` `sum-log` `cbrt-unprod`

Counts

3 → 66

Calls

3 calls:

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

series119.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ 1.0 (/ (* x y) 2.0))
19.0ms	(/ (* x y) 2.0)
66.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	319	440
1	1354	406
2	5001	402

prune146.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.9b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
98×	`*-un-lft-identity`
64×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`add-exp-log` `associate-/r*`
17×	`distribute-lft-out`
16×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `add-log-exp`
5×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-flip` `prod-exp` `sum-log` `associate-/r/` `cbrt-unprod` `inv-pow`

Counts

4 → 154

Calls

4 calls:

4.0ms	(+ 1.0 (/ (* x y) 2.0))
3.0ms	(/ (* x y) 2.0)
11.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
14.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series177.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ 1.0 (/ (* x y) 2.0))
25.0ms	(/ (* x y) 2.0)
60.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
56.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	557	1343
1	2685	1210
2	5001	1123

prune257.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3-+` `div-exp` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `sum-log` `div-inv` `inv-pow`

Counts

2 → 44

Calls

2 calls:

4.0ms	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
9.0ms	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

series90.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
50.0ms	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

simplify36.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	243	416
1	1034	377
2	5001	361

prune90.0ms

Pruning

3 alts after pruning (1 fresh and 2 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 y) 2.0)
0.5b	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
6.4b	(/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

588×	`times-frac`
354×	`*-un-lft-identity`
260×	`add-sqr-sqrt` `add-cube-cbrt`
53×	`add-exp-log`
47×	`distribute-lft-out`
36×	`div-exp` `div-inv`
31×	`associate-/r/`
23×	`add-cbrt-cube`
22×	`associate-/l*`
20×	`associate-/r*`
16×	`flip3-+` `flip-+`
11×	`cbrt-undiv`
9×	`rec-exp` `1-exp`
6×	`add-log-exp`
5×	`pow1`
3×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `prod-exp` `sum-log` `cbrt-unprod` `associate-/l/` `inv-pow`

Counts

4 → 367

Calls

4 calls:

4.0ms	(+ 1.0 (/ (* x y) 2.0))
3.0ms	(/ (* x y) 2.0)
9.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
22.0ms	(/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))

series174.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ 1.0 (/ (* x y) 2.0))
20.0ms	(/ (* x y) 2.0)
56.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
59.0ms	(/ (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ 1 y))

simplify74.0ms

Algorithm

egg-herbie

Counts

379 → 379

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1589	4815
1	5001	4279

prune508.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample668.0ms

Algorithm

intervals

Results

537.0ms	7999×	body	80	valid
0.0ms	1×	body	2560	valid