Details

Time bar (total: 1.4s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1284
2424
3444
4444

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize6.0ms

Local error

Found 1 expressions with local error:

11.7b
(/ (+ x y) (* (* x 2.0) y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
*-un-lft-identity
times-frac associate-/l*
cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
associate-/l/ distribute-lft-out
pow1 frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
12.0ms
(/ (+ x y) (* (* x 2.0) y))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify33.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0220188
1940152
25001152

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (/ 1 y) (/ 1 x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
distribute-lft-out
times-frac
div-inv
add-sqr-sqrt add-cube-cbrt add-log-exp
pow1 add-exp-log +-commutative flip3-+ frac-add sum-log add-cbrt-cube flip-+
Counts
1 → 19
Calls
1 calls:
15.0ms
(+ (/ 1 y) (/ 1 x))

series11.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(+ (/ 1 y) (/ 1 x))

simplify70.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0101104
134594
2115391
3277590
4500190

prune38.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
33×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
cbrt-undiv div-exp
div-inv distribute-lft-out
associate-/r*
associate-/l/
pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
flip3-+ flip-+
Counts
2 → 77
Calls
2 calls:
8.0ms
(/ (+ x y) (* x 2.0))
12.0ms
(/ (/ (+ x y) (* x 2.0)) y)

series89.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (+ x y) (* x 2.0))
55.0ms
(/ (/ (+ x y) (* x 2.0)) y)

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0337543
11330485
25001485

prune145.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 0.5 (/ y x)) 0.5)
0.0b
(* 0.5 (/ y x))
6.9b
(/ (+ (* 0.5 (/ y x)) 0.5) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
pow1 add-log-exp
associate-*l* associate-/r* associate-/l*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative
Counts
3 → 72
Calls
3 calls:
4.0ms
(+ (* 0.5 (/ y x)) 0.5)
7.0ms
(* 0.5 (/ y x))
12.0ms
(/ (+ (* 0.5 (/ y x)) 0.5) y)

series86.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ (* 0.5 (/ y x)) 0.5)
18.0ms
(* 0.5 (/ y x))
47.0ms
(/ (+ (* 0.5 (/ y x)) 0.5) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0302441
11346406
25002405

prune146.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes52.0ms

Accuracy

98.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.7b

bsearch69.0ms

Steps
ItersRangePoint
8
4.7008950119850614e-20
5.939545479408298e-16
9.433587360001542e-18
10
-0.00012459925560949148
-2.0394064324876335e-16
-5.221187662641635e-12

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03114
13114

end0.0ms

sample304.0ms

Algorithm
intervals
Results
179.0ms8000×body80valid