Details

Time bar (total: 4.9s)

sample22.0ms

Algorithm
intervals
Results
9.0ms452×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0811
1159
2249
3269
done269

prune4.0ms

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
31.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
8.0ms
(+ (* x 2.0) (* x x))

series87.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
53.0ms
(+ (* x 2.0) (* x x))

simplify1.3s

Counts
31 → 31
Iterations

Useful iterations: 3 (480.0ms)

IterNodesCost
057440
1181340
2666326
32694302
done5002302

prune51.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×sqrt-prod
23×pow1
18×*-un-lft-identity
16×add-cube-cbrt sqrt-div
10×sqrt-pow1 pow1/2 associate-*r*
flip3-+ associate-*l* flip-+
add-exp-log swap-sqr add-cbrt-cube
pow-prod-up unswap-sqr
frac-times associate-*r/ pow-prod-down add-log-exp
pow-sqr
rem-sqrt-square associate-*l/ prod-exp *-commutative cbrt-unprod
pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 110
Calls
4 calls:
19.0ms
(* x (+ 2.0 x))
15.0ms
(sqrt (+ (* x (+ 2.0 x)) (* y y)))
14.0ms
(sqrt (+ (* x (+ 2.0 x)) (* y y)))
79.0ms
(* (sqrt (+ (* x (+ 2.0 x)) (* y y))) (sqrt (+ (* x (+ 2.0 x)) (* y y))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* x (+ 2.0 x))
110.0ms
(sqrt (+ (* x (+ 2.0 x)) (* y y)))
113.0ms
(sqrt (+ (* x (+ 2.0 x)) (* y y)))
32.0ms
(* (sqrt (+ (* x (+ 2.0 x)) (* y y))) (sqrt (+ (* x (+ 2.0 x)) (* y y))))

simplify2.1s

Counts
122 → 122
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01292434
12891727
29151559
340561478
done50001450

prune210.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample601.0ms

Algorithm
intervals
Results
307.0ms14115×body80valid