Details

Time bar (total: 3.1s)

sample177.0ms

Algorithm
intervals
Results
60.0ms500×body80nan
35.0ms295×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
02128
14928
215427
364227
4323927
done500027

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize26.0ms

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
(* (- t (fma 2.0 (/ (* l l) Om) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U))
19.3b
(sqrt (* (- t (fma 2.0 (/ (* l l) Om) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U)))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
25×pow1
24×add-sqr-sqrt *-un-lft-identity
23×add-cbrt-cube
20×add-cube-cbrt
18×prod-diff
16×prod-exp
13×pow-prod-down
11×distribute-rgt-in distribute-lft-in
10×cbrt-unprod
associate-*r* associate-*l*
expm1-log1p-u sqrt-pow1 associate-*l/ log1p-expm1-u add-log-exp
flip3-- times-frac div-exp associate-/r* flip--
cbrt-undiv sub-neg sqrt-div associate-*r/ pow-exp *-commutative distribute-lft-out-- difference-of-squares
pow-to-exp frac-2neg pow1/2 clear-num sqrt-prod div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
11.0ms
(/ (* l l) Om)
52.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
85.0ms
(* (- t (fma 2.0 (/ (* l l) Om) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U))
109.0ms
(sqrt (* (- t (fma 2.0 (/ (* l l) Om) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U)))

series1.0ms