Details

sample1.9m (43.8%)

Algorithm
21×intervals
Results
1.1m37800×body10240exit
12.3s7325×body1280valid
9.1s57734×body80nan
8.5s3503×body2560valid
7.0s56476×body80valid
4.1s4730×body640valid
1.1s2266×body320valid
430.0ms1189×body160valid
262.0ms8356×pre80true
92.0ms34×body5120valid
28.0msbody5120nan
17.0ms23×body2560nan
7.0ms19×body1280nan
5.0ms15×body640nan
4.0ms11×body320nan
1.0msbody160nan

simplify1.7m (39.3%)

series21.6s (8.3%)

Calls

100 calls:

2.5s
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))))
2.5s
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))))
2.5s
(sqrt (* 2 (* U (* (* (cbrt n) (cbrt n)) (* (cbrt 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))))))))))
2.3s
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* l (/ (* (- U* U) n) Om)))))))))

prune13.8s (5.3%)

regimes4.7s (1.8%)

Accuracy

Total 7.9b remaining (3.7%)

Threshold costs 0.5b (0.2%)

3.4b50.2%Toniolo and Linder, Equation (13)
2.1b0%Random Jason Timeout Test 006
2.0b0%Random Jason Timeout Test 004
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 003

rewrite2.6s (1.0%)

Algorithm
29×rewrite-expression-head
Calls

100 calls:

448.0ms
(sqrt (* 2 (* U (* (* (cbrt n) (cbrt n)) (* (cbrt n) (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U)))))))))))
206.0ms
(* U (* (* (cbrt n) (cbrt n)) (* (cbrt n) (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U)))))))))
110.0ms
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))))
97.0ms
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))))
91.0ms
(* (* (cbrt n) (cbrt n)) (* (cbrt n) (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))
Rules
445×add-sqr-sqrt
305×*-un-lft-identity
294×pow1
276×add-exp-log
269×add-cube-cbrt
232×add-cbrt-cube
215×sqrt-prod
200×unpow-prod-down
126×associate-*l*
110×add-log-exp pow-prod-down
100×prod-exp insert-posit16
93×cbrt-prod
82×distribute-lft-in distribute-rgt-in
80×cbrt-unprod
79×associate-*r/
68×associate-*r*
67×times-frac
64×unswap-sqr
61×sqrt-pow1
56×sub-neg
54×swap-sqr
51×exp-prod
38×sqr-pow
36×unpow-prod-up
30×pow-unpow
23×pow1/2
21×flip3-- flip--
20×log-pow pow-to-exp pow-exp
19×pow1/3 *-commutative
18×distribute-lft-out-- difference-of-squares
16×pow-pow
15×log-prod
14×pow-sub
13×div-exp cbrt-undiv
10×sqrt-div pow-prod-up frac-times
pow-sqr associate-/r* associate-*l/
div-inv
rem-exp-log rem-sqrt-square associate-/l*
rem-log-exp
associate-/l/ sqrt-pow2
pow2
sinh-def flip3-+ frac-2neg sum-log associate-/r/ acos-asin clear-num +-commutative flip-+
div-sub rem-square-sqrt pow-plus sqrt-unprod

localize1.2s (0.5%)

bsearch8.0ms (0.0%)

end0.0ms (0.0%)