Details

Time bar (total: 2.0s)

sample25.0ms

Algorithm
intervals
Results
14.0ms443×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
0185
1464
2774
3873
4873

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×fma-def sum-log
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
1×associate-+l+
Counts
2 → 32
Calls
2 calls:
5.0ms
(+ (* x x) (* (* x 2.0) y))
7.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series70.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* x x) (* (* x 2.0) y))
26.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify49.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0204251
11082223
25002196

prune84.0ms

Filtered
38 candidates to 30 candidates (78.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New37138
Fresh000
Picked011
Done000
Total37239

Merged error: 0b

Counts
39 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

2.0b
(+ (+ (* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x))) (* y (* (* (- x) (fma y 2.0 x)) y))) (pow y 4))
2.5b
(+ (* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x))) (* y (* (* (- x) (fma y 2.0 x)) y)))
4.2b
(* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x)))
41.4b
(/ (fma (* (pow y 4) y) y (pow (fma x x (* (* x 2.0) y)) 3)) (+ (+ (* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x))) (* y (* (* (- x) (fma y 2.0 x)) y))) (pow y 4)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
19×add-exp-log
18×add-sqr-sqrt
16×add-cube-cbrt
12×times-frac
11×add-cbrt-cube add-log-exp
9×prod-exp
8×distribute-lft-neg-out distribute-rgt-in distribute-lft-in associate-*l* fma-udef
5×associate-+l+ distribute-lft-out
4×pow1 expm1-log1p-u unpow-prod-down fma-def associate-/r* sum-log distribute-rgt-neg-out log1p-expm1-u unswap-sqr
3×flip3-+ cbrt-unprod flip-+ associate-/l*
2×+-commutative pow-to-exp associate-+l- unsub-neg pow-exp associate-/r/ unpow2 sqr-pow
1×cbrt-undiv pow2 frac-2neg div-exp associate-*r* pow-prod-down clear-num *-commutative div-inv
Counts
4 → 112
Calls
4 calls:
13.0ms
(+ (+ (* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x))) (* y (* (* (- x) (fma y 2.0 x)) y))) (pow y 4))
9.0ms
(+ (* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x))) (* y (* (* (- x) (fma y 2.0 x)) y)))
8.0ms
(* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x)))
13.0ms
(/ (fma (* (pow y 4) y) y (pow (fma x x (* (* x 2.0) y)) 3)) (+ (+ (* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x))) (* y (* (* (- x) (fma y 2.0 x)) y))) (pow y 4)))

series323.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(+ (+ (* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x))) (* y (* (* (- x) (fma y 2.0 x)) y))) (pow y 4))
75.0ms
(+ (* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x))) (* y (* (* (- x) (fma y 2.0 x)) y)))
37.0ms
(* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x)))
107.0ms
(/ (fma (* (pow y 4) y) y (pow (fma x x (* (* x 2.0) y)) 3)) (+ (+ (* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x))) (* y (* (* (- x) (fma y 2.0 x)) y))) (pow y 4)))

simplify84.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05341999
120651818
250021798

prune515.0ms

Filtered
124 candidates to 93 candidates (75.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done011
Total1242126

Merged error: 0b

Counts
126 → 2

regimes47.0ms

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
0136
1136

end0.0ms

sample705.0ms

Algorithm
intervals
Results
478.0ms14279×body80valid