Details

sample1.9m (47.6%)

Algorithm
21×intervals
Results
1.1m39556×body10240exit
11.7s7270×body1280valid
8.7s58338×body80nan
8.5s3476×body2560valid
7.5s56710×body80valid
4.8s4611×body640valid
2.0s2316×body320valid
434.0ms1198×body160valid
307.0ms8356×pre80true
58.0ms23×body5120valid
27.0ms33×body2560nan
17.0msbody5120nan
8.0ms18×body1280nan
6.0ms21×body320nan
4.0ms17×body640nan
2.0ms10×body160nan

simplify1.6m (38.6%)

series17.9s (7.4%)

Calls

70 calls:

4.0s
(sqrt (* 2 (* U (+ (* t n) (* (- (* l 2) (* (* (/ l Om) n) (- U* U))) (- (* (/ l Om) n)))))))
3.3s
(sqrt (* U (+ (* t n) (* (- (* l 2) (* (* (/ l Om) n) (- U* U))) (- (* (/ l Om) n))))))
2.8s
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (* (/ l Om) n) (- U* U)))))))))
2.4s
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))))
623.0ms
(* U (+ (* t n) (* (- (* l 2) (* (* (/ l Om) n) (- U* U))) (- (* (/ l Om) n)))))

prune9.9s (4.1%)

regimes2.9s (1.2%)

Accuracy

Total 10.0b remaining (4.7%)

Threshold costs 0.6b (0.3%)

7.2b22%Toniolo and Linder, Equation (13)
2.2b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.2b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 002

rewrite1.2s (0.5%)

Algorithm
23×rewrite-expression-head
Calls

70 calls:

88.0ms
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))))
79.0ms
(* (/ l Om) (* n (- U* U)))
76.0ms
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (* (/ l Om) n) (- U* U)))))))))
55.0ms
(* (* c 1/6) (* c c))
55.0ms
(* (* (/ l Om) n) (- U* U))
Rules
242×pow1
218×add-sqr-sqrt
196×add-exp-log
188×add-cbrt-cube
179×*-un-lft-identity
149×add-cube-cbrt
88×associate-*l*
74×add-log-exp
70×insert-posit16
69×prod-exp
68×pow-prod-down
65×cbrt-unprod
62×associate-*r*
54×times-frac
46×associate-*r/
36×distribute-lft-in distribute-rgt-in
22×sub-neg *-commutative
21×log-prod
20×unswap-sqr
19×pow-prod-up log-pow pow-plus
16×exp-prod flip3-- flip--
15×sqrt-pow1 distribute-lft-out-- difference-of-squares associate-*l/
10×sqrt-prod
sqrt-div div-exp frac-times cbrt-undiv unpow-prod-down
pow2 pow-sqr
rem-log-exp pow1/2 flip3-+ flip-+
associate-/r* associate-/l*
pow3 sqr-pow div-inv
exp-sum swap-sqr
sinh-def associate-/l/ sum-log associate-/r/ pow-exp rem-sqrt-square acos-asin pow-to-exp +-commutative
div-sub rem-exp-log pow1/3 frac-2neg clear-num rem-cbrt-cube cbrt-prod

localize1.1s (0.4%)

bsearch182.0ms (0.1%)

end0.0ms (0.0%)