Details

Time bar (total: 4.6s)

sample23.0ms

Algorithm
intervals
Results
5.0ms256×pre80true
2.0ms256×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03043
17543
220143
353443
4143043
5439143
done500043

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.1b

Counts
2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b
(* 5.5 (pow y 8.0))
1.0b
(* 333.75 (pow y 6.0))
1.0b
(- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0))
62.0b
(+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×add-exp-log associate-*r*
11×add-log-exp
10×add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube
associate-*l* prod-exp unswap-sqr
pow1 sqr-pow
sum-log
pow-to-exp pow-exp *-commutative cbrt-unprod
+-commutative sub-neg associate-+l+ flip3-- flip3-+ diff-log flip-- flip-+
Counts
4 → 75
Calls
4 calls:
10.0ms
(* 5.5 (pow y 8.0))
6.0ms
(* 333.75 (pow y 6.0))
11.0ms
(- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0))
17.0ms
(+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* 5.5 (pow y 8.0))
69.0ms
(* 333.75 (pow y 6.0))
23.0ms
(- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0))
61.0ms
(+ (+ (* 333.75 (pow y 6.0)) (* (* x x) (- (- (- (* (* (* (* 11.0 x) x) y) y) (pow y 6.0)) (* 121.0 (pow y 4.0))) 2.0))) (* 5.5 (pow y 8.0)))

simplify791.0ms

Counts
87 → 87
Iterations

Useful iterations: done (788.0ms)

IterNodesCost
02111599
15201535
215481403
done50001391

prune261.0ms

Filtered
67 candidates to 87 candidates (-29.9%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New86187
Fresh000
Picked101
Done000
Total87188

Merged error: 57.1b

Counts
88 → 1

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune3.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011

Merged error: 57.1b

Counts
1 → 1

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
done1311

end0.0ms

sample389.0ms

Algorithm
intervals
Results
132.0ms8000×pre80true
64.0ms8000×body80valid

Profiling

Loading profile data...