Details

Time bar (total: 2.0s)

sample22.0ms

Algorithm
intervals
Results
11.0ms476×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0164
1333
2413
3413

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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:
3.0ms
(+ (* x 2.0) (* x x))
14.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (* x 2.0) (* x x))
33.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

simplify107.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0196206
1967178
24173167
35001166

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:
7.0ms
(+ (* x (+ 2.0 x)) (* y y))
10.0ms
(* x (+ 2.0 x))

series70.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (* x (+ 2.0 x)) (* y y))
41.0ms
(* x (+ 2.0 x))

simplify37.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0216193
11104179
25002175

prune83.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1
4×expm1-log1p-u unpow-prod-down cube-prod log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×cube-div fma-udef distribute-lft-out
1×cbrt-undiv cube-mult pow-to-exp pow-pow frac-2neg flip3-+ unpow3 div-exp pow-exp clear-num flip-+ div-inv rem-cube-cbrt sqr-pow
Counts
4 → 78
Calls
4 calls:
5.0ms
(pow (+ 2.0 x) 3)
0.0ms
(fma (pow x 3) (pow (+ 2.0 x) 3) (pow y 6))
0.0ms
(fma (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2))) (pow y 4))
2.0ms
(/ (fma (pow x 3) (pow (+ 2.0 x) 3) (pow y 6)) (fma (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2))) (pow y 4)))

series395.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(pow (+ 2.0 x) 3)
136.0ms
(fma (pow x 3) (pow (+ 2.0 x) 3) (pow y 6))
89.0ms
(fma (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2))) (pow y 4))
143.0ms
(/ (fma (pow x 3) (pow (+ 2.0 x) 3) (pow y 6)) (fma (fma x 2.0 (* x x)) (fma 2.0 x (- (pow x 2) (pow y 2))) (pow y 4)))

simplify55.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03511000
11440901
25003894

prune371.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

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

sample563.0ms

Algorithm
intervals
Results
336.0ms14369×body80valid