Details

Time bar (total: 6.0s)

sample30.0ms

Algorithm
intervals
Results
16.0ms468×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

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))

series30.0ms

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

simplify552.0ms

Counts
14 → 14
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
030166
1118161
2674131
done5000131

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

2.3b
(- (pow x 4) (pow y 4))
32.3b
(/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
69×difference-of-squares
56×times-frac
48×unpow-prod-down
46×*-un-lft-identity
36×sqr-pow
22×add-cube-cbrt
14×associate-/l*
12×distribute-lft-out--
add-exp-log associate-/r* add-cbrt-cube add-log-exp
flip3-- flip--
pow1 associate-/r/ associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 114
Calls
2 calls:
18.0ms
(- (pow x 4) (pow y 4))
59.0ms
(/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))

series162.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(- (pow x 4) (pow y 4))
75.0ms
(/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))

simplify1.5s

Counts
120 → 120
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02112894
15132690
226202614
done50002546

prune293.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow x (/ 4 2)) (pow (sqrt y) 4))
0.4b
(pow (sqrt y) 4)
6.6b
(/ (- (* x x) (* y y)) (- (* x x) (* y y)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt times-frac
10×difference-of-squares
pow1
add-exp-log unpow-prod-down
add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow-unpow pow-pow sqrt-prod
flip3-- associate-/r/ flip-- associate-/l/
cbrt-undiv +-commutative pow-to-exp frac-2neg sqrt-pow1 flip3-+ pow1/2 *-inverses div-sub div-exp pow-exp clear-num sum-log sqrt-pow2 flip-+ div-inv distribute-lft-out pow-div sqr-pow
Counts
3 → 78
Calls
3 calls:
23.0ms
(+ (pow x (/ 4 2)) (pow (sqrt y) 4))
3.0ms
(pow (sqrt y) 4)
27.0ms
(/ (- (* x x) (* y y)) (- (* x x) (* y y)))

series83.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (pow x (/ 4 2)) (pow (sqrt y) 4))
44.0ms
(pow (sqrt y) 4)
2.0ms
(/ (- (* x x) (* y y)) (- (* x x) (* y y)))

simplify1.7s

Counts
87 → 87
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01661427
1489958
22348891
done5001831

prune291.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes83.0ms

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
057
167
done67

end0.0ms

sample1.1s

Algorithm
intervals
Results
688.0ms14168×body80valid