Details

sample1.4m (49.4%)

Algorithm
18×intervals
Results
51.6s32185×body10240exit
7.1s3452×body2560valid
6.6s37289×body80valid
6.0s37046×body80nan
5.1s4863×body1280valid
1.9s2984×body640valid
640.0ms1489×body320valid
389.0ms8356×pre80true
235.0ms737×body160valid
133.0ms64×body2560nan
56.0ms54×body1280nan
30.0ms15×body5120valid
24.0ms31×body640nan
10.0ms25×body320nan
5.0msbody5120nan
3.0ms10×body160nan

simplify50.1s (29.7%)

prune17.0s (10.0%)

series13.2s (7.8%)

Calls

56 calls:

2.3s
(sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (* (/ (* (cbrt l) (cbrt l)) Om) (* n (cbrt l))))))))))
2.2s
(sqrt (* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (/ l (/ Om n)))))))))
1.9s
(sqrt (* U (* n (* 2 (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (* (/ (* (cbrt l) (cbrt l)) Om) (* n (cbrt l)))))))))))
1.6s
(sqrt (* U (* n (* 2 (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (* (* (cbrt l) (cbrt l)) (* (/ (cbrt l) Om) n))))))))))
566.0ms
(* (* U n) (* 2 (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (* (/ (* (cbrt l) (cbrt l)) Om) (* n (cbrt l)))))))))

regimes2.8s (1.7%)

Accuracy

Total 9.9b remaining (5.5%)

Threshold costs 0.1b (0.1%)

7.8b30.5%Toniolo and Linder, Equation (13)
1.9b0%Random Jason Timeout Test 004
0.1b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 002
0.0b0%Random Jason Timeout Test 014

rewrite1.4s (0.8%)

Algorithm
17×rewrite-expression-head
Calls

56 calls:

147.0ms
(+ (* (pow c 5) 1/120) (+ (* (* 1/6 (* c c)) c) c))
113.0ms
(+ (* (pow c 5) 1/120) (+ (* (* 1/6 (* c c)) c) c))
94.0ms
(* (- U* U) (* (* (cbrt l) (cbrt l)) (* (/ (cbrt l) Om) n)))
93.0ms
(* (- U* U) (* (/ (* (cbrt l) (cbrt l)) Om) (* n (cbrt l))))
90.0ms
(* (- U* U) (* (/ (* (cbrt l) (cbrt l)) Om) (* n (cbrt l))))
Rules
287×add-exp-log
246×add-cbrt-cube
242×add-sqr-sqrt
228×pow1
221×*-un-lft-identity
189×add-cube-cbrt
184×times-frac
136×prod-exp
132×cbrt-unprod
109×pow-prod-down
72×distribute-lft-in distribute-rgt-in
68×associate-*r*
67×associate-*l*
66×add-log-exp
56×insert-posit16
51×associate-*r/
28×sub-neg
26×div-exp cbrt-undiv
24×cbrt-prod
21×associate-/r*
19×flip3-- flip-- associate-*l/
18×sqrt-pow1
17×*-commutative
16×distribute-lft-out-- difference-of-squares
15×log-pow
13×div-inv
12×exp-prod
11×unswap-sqr associate-/l*
log-prod
sqrt-div pow1/3 frac-times unpow-prod-down
sqrt-prod
sum-log
pow1/2 associate-/r/ sqr-pow acos-asin
rem-log-exp frac-2neg clear-num
sinh-def associate-/l/ flip3-+ associate-+r+ pow-exp pow-to-exp +-commutative flip-+ cosh-def
div-sub

localize770.0ms (0.5%)

bsearch159.0ms (0.1%)

end0.0ms (0.0%)