Details

Time bar (total: 1.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms476×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
063
163
done63

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
8.0ms
(+ (* x x) (* y y))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(+ (* x x) (* y y))

simplify48.0ms

Counts
14 → 14
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
010177
146566
2124066
3500166
done500166

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* y y))
0.1b
(* (- (pow y 3)) y)
1.0b
(+ (* (- (pow y 3)) y) (pow x 4))
31.5b
(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*l*
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in times-frac
add-exp-log add-cbrt-cube add-log-exp
pow1 unpow-prod-down cube-prod
difference-of-squares
associate-/r*
associate-*r* associate-/l*
cube-mult flip3-- flip3-+ unpow3 associate-/r/ flip-- flip-+ associate-/l/ sqr-pow
cbrt-undiv +-commutative distribute-lft-neg-out neg-mul-1 sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 103
Calls
4 calls:
8.0ms
(- (* x x) (* y y))
24.0ms
(* (- (pow y 3)) y)
15.0ms
(+ (* (- (pow y 3)) y) (pow x 4))
54.0ms
(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* x x) (* y y))
37.0ms
(* (- (pow y 3)) y)
52.0ms
(+ (* (- (pow y 3)) y) (pow x 4))
73.0ms
(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

simplify84.0ms

Counts
115 → 115
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0391841
12274726
25003717
done5003717

prune303.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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
063
163
done63

end0.0ms

sample549.0ms

Algorithm
intervals
Results
244.0ms14278×body80valid