Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	26	5
3	29	5
4	30	5
5	30	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* x y) 2.0)
8.3b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
15×	`times-frac`
13×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
4×	`distribute-lft-out` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`

Counts

2 → 58

Calls

2 calls:

5.0ms	(/ (* x y) 2.0)
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify39.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	306	377
1	1339	349
2	5001	342

prune125.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
8.3b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
95×	`*-un-lft-identity`
63×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
21×	`add-exp-log`
16×	`distribute-lft-out`
15×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`pow-flip` `flip3-+` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `inv-pow`

Counts

3 → 148

Calls

3 calls:

4.0ms	(/ (* x y) 2.0)
9.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series133.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* x y) 2.0)
60.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
53.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify63.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	545	1294
1	2678	1161
2	5001	1051

prune245.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))
0.2b	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
3.5b	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
14.0b	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
56×	`add-cube-cbrt`
55×	`times-frac`
47×	`add-exp-log` `add-cbrt-cube`
43×	`prod-diff`
25×	`associate-l`
23×	`distribute-rgt-in` `distribute-lft-in`
17×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
13×	`pow1`
12×	`associate-r` `div-inv`
9×	`difference-of-squares`
7×	`swap-sqr`
6×	`add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `log1p-expm1-u`
3×	`frac-times` `sub-neg` `associate-r/` `associate-/l` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`pow2` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `distribute-lft-out--`

Counts

4 → 201

Calls

4 calls:

4.0ms	(- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))
10.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
5.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
15.0ms	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))
36.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
59.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
121.0ms	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1019	3439
1	5001	2782

prune403.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

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

sample342.0ms

Algorithm

intervals

Results

208.0ms	7999×	body	80	valid
0.0ms	1×	body	320	valid