Details

Time bar (total: 4.8s)

sample36.0ms

Algorithm
intervals
Results
18.0ms461×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0811
1169
2338
3418
done418

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
fma-def
sum-log
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log +-commutative expm1-log1p-u associate-+l+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 19
Calls
1 calls:
47.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

simplify1.6s

Counts
22 → 22
Iterations

Useful iterations: done (1.6s)

IterNodesCost
042295
1126238
2507199
32480194
done5000193

prune48.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma x (+ 2.0 x) (* y y)))
0.0b
(fma x (+ 2.0 x) (* y y))
0.0b
(fma x (+ 2.0 x) (* y y))
0.1b
(* (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
sqrt-pow1 pow1/2
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube
pow-prod-up
expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr
fma-udef
pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
2.0ms
(sqrt (fma x (+ 2.0 x) (* y y)))
0.0ms
(fma x (+ 2.0 x) (* y y))
0.0ms
(fma x (+ 2.0 x) (* y y))
16.0ms
(* (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))))

series260.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(sqrt (fma x (+ 2.0 x) (* y y)))
35.0ms
(fma x (+ 2.0 x) (* y y))
37.0ms
(fma x (+ 2.0 x) (* y y))
34.0ms
(* (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))))

simplify1.3s

Counts
98 → 98
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0771705
11371165
23231020
31087975
done5001938

prune229.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample1.1s

Algorithm
intervals
Results
647.0ms14314×body80valid