Details

Time bar (total: 1.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms376×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0193
1413
2723
3813
4813

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
associate-*l*
expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u distribute-lft-out
+-commutative distribute-rgt-in fma-def distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
3.0ms
(+ (* x x) (* x y))
9.0ms
(* 2.0 (+ (* x x) (* x y)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* x x) (* x y))
46.0ms
(* 2.0 (+ (* x x) (* x y)))

simplify36.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0199227
11011198
25001191

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
*-un-lft-identity associate-*r*
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt associate-*r/
distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 25
Calls
1 calls:
11.0ms
(* (* 2.0 x) (+ x y))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (* 2.0 x) (+ x y))

simplify35.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0170125
1944105
25001105

prune36.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y y) (* x y))
1.1b
(+ (pow x 3) (pow y 3))
3.4b
(* (* 2.0 x) (+ (pow x 3) (pow y 3)))
32.2b
(/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
18×add-exp-log add-cbrt-cube
12×fma-def
11×unpow-prod-down cube-prod
10×add-sqr-sqrt add-cube-cbrt distribute-lft-out
pow1 associate-*r*
add-log-exp
prod-exp cbrt-unprod
expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
cbrt-undiv times-frac div-exp pow-prod-down associate-/r*
associate-/r/ sum-cubes associate-/l/
+-commutative distribute-rgt-in cube-mult sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in fma-neg diff-log unpow3 associate-*l* prod-diff clear-num sum-log *-commutative flip-- div-inv associate-/l* sqr-pow
Counts
4 → 107
Calls
4 calls:
3.0ms
(- (* y y) (* x y))
15.0ms
(+ (pow x 3) (pow y 3))
44.0ms
(* (* 2.0 x) (+ (pow x 3) (pow y 3)))
33.0ms
(/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

series256.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (* y y) (* x y))
50.0ms
(+ (pow x 3) (pow y 3))
67.0ms
(* (* 2.0 x) (+ (pow x 3) (pow y 3)))
108.0ms
(/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))

simplify90.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0495846
13005697
25003678

prune284.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

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)

IterNodesCost
093
193

end0.0ms

sample407.0ms

Algorithm
intervals
Results
232.0ms11294×body80valid