Details

sample2.4m (49.4%)

Algorithm
21×intervals
Results
1.3m38487×body10240exit
15.2s7319×body1280valid
12.5s58356×body80nan
11.8s56645×body80valid
10.1s3439×body2560valid
4.8s4530×body640valid
1.9s2396×body320valid
653.0ms1226×body160valid
344.0ms8356×pre80true
109.0ms34×body5120valid
29.0msbody5120nan
23.0ms25×body2560nan
11.0ms24×body1280nan
10.0ms16×body640nan
7.0ms14×body320nan
4.0ms11×body160nan

simplify1.9m (38.8%)

series14.4s (5.0%)

Calls

96 calls:

2.2s
(sqrt (* 2 (+ (* U (* n t)) (* U (* (* n (/ l Om)) (- (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))))
2.1s
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))))
2.1s
(sqrt (* 2 (* U (+ (* n t) (* (* n (/ l Om)) (- (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))))
2.0s
(sqrt (* 2 (* U (+ (* n t) (* n (- (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U)))))))))))
516.0ms
(* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))

prune12.2s (4.2%)

regimes4.3s (1.5%)

Accuracy

Total 6.3b remaining (2.9%)

Threshold costs 0.5b (0.3%)

3.7b55.9%Toniolo and Linder, Equation (13)
2.0b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.1b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

localize1.7s (0.6%)

rewrite1.2s (0.4%)

Algorithm
29×rewrite-expression-head
Calls

96 calls:

151.0ms
(* U (* (* n (/ l Om)) (- (- (* 2 l) (* (/ l Om) (* n (- U* U)))))))
70.0ms
(* n (- (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U)))))))
63.0ms
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))))
61.0ms
(* (/ l Om) (* n (- U* U)))
61.0ms
(* (/ l Om) (* n (- U* U)))
Rules
316×add-sqr-sqrt
296×pow1
253×*-un-lft-identity
235×add-exp-log
217×add-cbrt-cube add-cube-cbrt
110×sqrt-pow1 associate-*l*
96×add-log-exp insert-posit16
94×sqrt-prod
75×pow-prod-down
73×prod-exp
71×times-frac
68×associate-*r/
67×cbrt-unprod
66×pow1/2
62×associate-*r*
60×distribute-lft-in distribute-rgt-in pow-pow
40×unpow-prod-down
36×sub-neg
30×pow-unpow
25×pow-prod-up
22×unswap-sqr
20×*-commutative
18×distribute-lft-out-- difference-of-squares
17×flip3-- flip-- cbrt-prod
16×distribute-neg-in rem-sqrt-square
15×pow-sqr
14×swap-sqr
12×frac-times unpow-prod-up
11×div-exp cbrt-undiv
10×pow-exp sqr-pow
distribute-neg-frac
sqrt-div log-pow pow-to-exp
pow1/3
exp-prod associate-*l/ sqrt-pow2 div-inv log-prod pow-sub
associate-/l* flip3-+ associate-/r* flip-+
pow2 pow-plus
distribute-rgt-neg-out sqrt-unprod
rem-log-exp sinh-def associate-/l/ associate-/r/ acos-asin
div-sub distribute-lft-neg-in frac-2neg rem-square-sqrt distribute-lft-out clear-num neg-mul-1 distribute-rgt-neg-in

bsearch4.0ms (0.0%)

end0.0ms (0.0%)