Details

Time bar (total: 3.7s)

sample439.0ms

Algorithm
intervals
Results
238.0ms500×body80nan
85.0ms295×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
02128
14928
215427
364227
4323927
done500027

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize61.0ms

Local error

Found 4 expressions with local error:

6.6b
(/ (* l l) Om)
8.2b
(* (* n (pow (/ l Om) 2.0)) (- U U*))
9.6b
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
19.3b
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

rewrite553.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
30×prod-diff
26×add-sqr-sqrt *-un-lft-identity
25×pow1
24×add-cube-cbrt
23×add-cbrt-cube
22×associate-*r/
21×distribute-rgt-in distribute-lft-in
16×prod-exp
13×pow-prod-down
11×flip3-- flip--
10×associate--l+ cbrt-unprod
associate-*r* frac-sub
sub-neg sqrt-div
expm1-log1p-u sqrt-pow1 log1p-expm1-u 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 → 141
Calls
4 calls:
25.0ms
(/ (* l l) Om)
79.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
212.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
223.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

series7.0ms