Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify8.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(+ 1.0 (/ (* x y) 2.0))
5.3b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite34.0ms

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:

9.0ms	(/ (* x y) 2.0)
8.0ms	(+ 1.0 (/ (* x y) 2.0))
15.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (* x y) 2.0)
35.0ms	(+ 1.0 (/ (* x y) 2.0))
66.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (30.0ms)

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

prune173.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ x (/ 2.0 y)))
0.2b	(/ x (/ 2.0 y))
5.3b	(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
64×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`distribute-lft-out` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `associate-/r/`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`+-commutative` `sum-log`

Counts

3 → 115

Calls

3 calls:

20.0ms	(+ 1.0 (/ x (/ 2.0 y)))
8.0ms	(/ x (/ 2.0 y))
42.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

series120.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ 1.0 (/ x (/ 2.0 y)))
20.0ms	(/ x (/ 2.0 y))
66.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify61.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	527	806
1	2345	768
2	5001	768

prune252.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(+ 1.0 (/ (* x y) 2.0))
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.2b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite78.0ms

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:

9.0ms	(/ (* x y) 2.0)
8.0ms	(+ 1.0 (/ (* x y) 2.0))
20.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
33.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series173.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (* x y) 2.0)
37.0ms	(+ 1.0 (/ (* x y) 2.0))
64.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
50.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (53.0ms)

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

prune237.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (/ 2.0 y))
0.2b	(/ x (/ 2.0 y))
4.2b	(/ y (- (* 1.0 1.0) (* (/ x (/ 2.0 y)) (/ x (/ 2.0 y)))))
13.8b	(* (/ y (- (* 1.0 1.0) (* (/ x (/ 2.0 y)) (/ x (/ 2.0 y))))) (- 1.0 (/ x (/ 2.0 y))))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
120×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
106×	`add-cube-cbrt`
30×	`associate-/r*`
21×	`add-exp-log` `add-cbrt-cube`
18×	`associate-l`
12×	`div-inv`
10×	`difference-of-squares`
9×	`associate-/l*`
8×	`cbrt-undiv` `div-exp`
7×	`associate-r`
6×	`pow1` `associate-/r/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--`

Counts

4 → 222

Calls

4 calls:

8.0ms	(/ x (/ 2.0 y))
8.0ms	(/ x (/ 2.0 y))
16.0ms	(/ y (- (* 1.0 1.0) (* (/ x (/ 2.0 y)) (/ x (/ 2.0 y)))))
174.0ms	(* (/ y (- (* 1.0 1.0) (* (/ x (/ 2.0 y)) (/ x (/ 2.0 y))))) (- 1.0 (/ x (/ 2.0 y))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ x (/ 2.0 y))
20.0ms	(/ x (/ 2.0 y))
58.0ms	(/ y (- (* 1.0 1.0) (* (/ x (/ 2.0 y)) (/ x (/ 2.0 y)))))
128.0ms	(* (/ y (- (* 1.0 1.0) (* (/ x (/ 2.0 y)) (/ x (/ 2.0 y))))) (- 1.0 (/ x (/ 2.0 y))))

simplify96.0ms

Algorithm

egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	755	2149
1	3843	2009
2	5001	2009

prune593.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b 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	15	6
1	15	6

end0.0ms

sample366.0ms

Algorithm

intervals

Results

198.0ms	7996×	body	80	valid
3.0ms	1×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid