Details

Time bar (total: 1.9s)

sample22.0ms

Algorithm
intervals
Results
11.0ms435×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
0185
1464
2774
3873
4873

prune6.0ms

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
(fma (fma y 2.0 x) x (* y y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (fma y 2.0 x) x (* y y))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma (fma y 2.0 x) x (* y y))

simplify101.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
04268
110452
246752
3241952
4500152

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma y 2.0 x) x (* y y))
0.0b
(fma (fma y 2.0 x) x (* y y))
5.6b
(sqrt (fma (fma y 2.0 x) x (* y y)))
5.6b
(sqrt (fma (fma y 2.0 x) x (* y y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
4 → 50
Calls
4 calls:
0.0ms
(fma (fma y 2.0 x) x (* y y))
0.0ms
(fma (fma y 2.0 x) x (* y y))
1.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))
1.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(fma (fma y 2.0 x) x (* y y))
29.0ms
(fma (fma y 2.0 x) x (* y y))
73.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))
73.0ms
(sqrt (fma (fma y 2.0 x) x (* y y)))

simplify137.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
075306
1169266
2699266
33514264
45001264

prune188.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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

series68.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
43.0ms
(+ (* x x) (* (* x 2.0) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0204251
11082223
25002196

prune101.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 34
Calls
2 calls:
3.0ms
(+ (* x x) (* (fma 2.0 x y) y))
3.0ms
(* (fma 2.0 x y) y)

series85.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (* x x) (* (fma 2.0 x y) y))
55.0ms
(* (fma 2.0 x y) y)

simplify119.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0165192
1662162
24080156
35001156

prune89.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes33.0ms

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
094
194

end0.0ms

sample595.0ms

Algorithm
intervals
Results
377.0ms14253×body80valid