Details

Time bar (total: 4.0s)

sample317.0ms

Algorithm
intervals
Results
133.0ms433×body80nan
49.0ms290×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
02128
14928
215228
362728
4297828
done500028

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize54.0ms

Local error

Found 4 expressions with local error:

7.2b
(/ (* l l) Om)
7.3b
(* (* n (pow (/ l Om) 2.0)) (- U U*))
11.3b
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
19.0b
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

rewrite466.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
25×pow1
23×add-cbrt-cube
22×associate-*r/
16×prod-exp
13×pow-prod-down
11×flip3-- flip--
10×add-sqr-sqrt *-un-lft-identity cbrt-unprod
add-cube-cbrt associate-*r* frac-sub
distribute-rgt-in sub-neg distribute-lft-in sqrt-div
sqrt-pow1 associate--l+ add-log-exp
times-frac div-exp associate-/r*
cbrt-undiv associate-*l* pow-exp *-commutative
pow-to-exp frac-2neg pow1/2 clear-num sqrt-prod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 103
Calls
4 calls:
15.0ms
(/ (* l l) Om)
90.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
195.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
160.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

series4.0ms