Details

Time bar (total: 3.2s)

sample33.0ms

Algorithm
intervals
Results
21.0ms476×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0164
1333
2413
3413

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
5×fma-def
4×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 distribute-lft-out
1×associate-+l+
Counts
2 → 34
Calls
2 calls:
2.0ms
(+ (* x 2.0) (* x x))
13.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* x 2.0) (* x x))
6.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

simplify105.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0196206
1965179
24704167
35001167

prune208.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in expm1-log1p-u associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 41
Calls
2 calls:
5.0ms
(+ (* x (+ 2.0 x)) (* y y))
10.0ms
(* x (+ 2.0 x))

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x (+ 2.0 x)) (* y y))
3.0ms
(* x (+ 2.0 x))

simplify38.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0216193
11104179
25002175

prune211.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (pow x 3) (pow (+ 2.0 x) 3) (pow y 6))
0.1b
(* (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2))))
2.8b
(+ (* (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2)))) (pow y 4))
36.2b
(/ (fma (pow x 3) (pow (+ 2.0 x) 3) (pow y 6)) (+ (* (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2)))) (pow y 4)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube
6×pow1 add-log-exp
5×fma-udef
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative fma-def frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 79
Calls
4 calls:
0.0ms
(fma (pow x 3) (pow (+ 2.0 x) 3) (pow y 6))
3.0ms
(* (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2))))
5.0ms
(+ (* (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2)))) (pow y 4))
9.0ms
(/ (fma (pow x 3) (pow (+ 2.0 x) 3) (pow y 6)) (+ (* (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2)))) (pow y 4)))

series71.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(fma (pow x 3) (pow (+ 2.0 x) 3) (pow y 6))
13.0ms
(* (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2))))
17.0ms
(+ (* (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2)))) (pow y 4))
27.0ms
(/ (fma (pow x 3) (pow (+ 2.0 x) 3) (pow y 6)) (+ (* (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2)))) (pow y 4)))

simplify53.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03491299
113161188
250021182

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes273.0ms

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
0115
1115

end0.0ms

sample872.0ms

Algorithm
intervals
Results
642.0ms14369×body80valid