Details

Time bar (total: 4.3s)

sample32.0ms

Algorithm
intervals
Results
14.0ms450×body80valid

simplify18.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×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:
12.0ms
(+ (* x x) (* y y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(+ (* x x) (* y y))

simplify695.0ms

Counts
14 → 14

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
3.0b
(- (* (* x x) (* y y)) (pow x 4))
6.2b
(* (* x x) (* y y))
42.3b
(/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))

rewrite382.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
48×*-un-lft-identity
35×times-frac
32×pow1
21×difference-of-squares
18×add-exp-log add-cube-cbrt add-cbrt-cube
14×pow-prod-down
11×add-log-exp
8×prod-exp sum-cubes cbrt-unprod distribute-lft-out
7×unpow-prod-down associate-/r* distribute-lft-out-- sqr-pow
5×associate-/l*
4×pow-plus diff-log pow-prod-up
3×sub-neg flip3-- flip--
2×pow2 associate-/r/ pow-sqr associate-/l/ associate--r+
1×cbrt-undiv frac-2neg flip3-+ div-exp associate-*r* associate-*l* clear-num *-commutative flip-+ div-inv associate--r- unswap-sqr
Counts
4 → 124
Calls
4 calls:
96.0ms
(- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
33.0ms
(- (* (* x x) (* y y)) (pow x 4))
31.0ms
(* (* x x) (* y y))
215.0ms
(/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))

series317.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
67.0ms
(- (* (* x x) (* y y)) (pow x 4))
44.0ms
(* (* x x) (* y y))
141.0ms
(/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))

simplify1.2s

Counts
136 → 136

prune545.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify13.0ms

end0.0ms

sample892.0ms

Algorithm
intervals
Results
460.0ms14225×body80valid