Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* x y) 2.0)
9.7b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite27.0ms

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:

10.0ms	(/ (* x y) 2.0)
16.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ (* x y) 2.0)
67.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (37.0ms)

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

prune146.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.3b	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
9.4b	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
23×	`add-cube-cbrt`
21×	`add-exp-log`
18×	`associate-r`
15×	`add-cbrt-cube`
7×	`associate-/r*` `distribute-lft-out`
6×	`pow1` `div-exp`
5×	`prod-exp`
4×	`cbrt-undiv` `associate-/r/` `associate-/l*`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 105

Calls

3 calls:

10.0ms	(/ (* x y) 2.0)
16.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
41.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series133.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* x y) 2.0)
48.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
66.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify71.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	453	714
1	2279	628
2	5001	579

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 2.0 x) y)
0.3b	(/ 1 (+ 1.0 (/ 1 (/ (/ 2.0 x) y))))
0.3b	(/ 1 (/ (/ 2.0 x) y))
9.4b	(* y (/ 1 (+ 1.0 (/ 1 (/ (/ 2.0 x) y)))))

rewrite388.0ms

Algorithm

rewrite-expression-head

Rules

500×	`times-frac`
272×	`*-un-lft-identity`
257×	`add-sqr-sqrt`
250×	`add-cube-cbrt`
51×	`associate-/r*`
43×	`add-exp-log`
31×	`div-inv`
25×	`add-cbrt-cube`
22×	`div-exp`
21×	`associate-r`
19×	`associate-/l*`
14×	`distribute-lft-out`
11×	`cbrt-undiv`
8×	`pow1`
5×	`rec-exp` `1-exp` `associate-/r/`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `unswap-sqr`
2×	`pow-flip` `flip3-+` `cbrt-unprod` `flip-+` `inv-pow`
1×	`associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `associate-/l/`

Counts

4 → 363

Calls

4 calls:

11.0ms	(/ (/ 2.0 x) y)
109.0ms	(/ 1 (+ 1.0 (/ 1 (/ (/ 2.0 x) y))))
20.0ms	(/ 1 (/ (/ 2.0 x) y))
223.0ms	(* y (/ 1 (+ 1.0 (/ 1 (/ (/ 2.0 x) y)))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (/ 2.0 x) y)
49.0ms	(/ 1 (+ 1.0 (/ 1 (/ (/ 2.0 x) y))))
25.0ms	(/ 1 (/ (/ 2.0 x) y))
65.0ms	(* y (/ 1 (+ 1.0 (/ 1 (/ (/ 2.0 x) y)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

375 → 375

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1333	3122
1	5001	2436

prune709.0ms

Pruning

3 alts after pruning (1 fresh and 2 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))
9.6b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite72.0ms

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:

11.0ms	(/ (* x y) 2.0)
21.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
34.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series130.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* x y) 2.0)
62.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
49.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify78.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (62.0ms)

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

prune277.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample371.0ms

Algorithm

intervals

Results

205.0ms

8000×

body

valid