Details

sample2.4m (66.6%)

Algorithm
21×intervals
Results
1.4m38373×body10240exit
15.6s7406×body1280valid
12.2s56934×body80nan
10.4s3462×body2560valid
9.8s56427×body80valid
4.8s4669×body640valid
1.5s2338×body320valid
525.0ms1202×body160valid
351.0ms8356×pre80true
145.0ms25×body5120valid
25.0ms25×body2560nan
20.0msbody5120nan
16.0ms22×body1280nan
10.0ms18×body640nan
6.0ms15×body320nan
4.0ms10×body160nan

simplify35.3s (16.5%)

prune13.1s (6.1%)

series10.6s (5.0%)

Calls

93 calls:

2.1s
(sqrt (* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))))
1.9s
(sqrt (* (* U 2) (* n (- t (+ (/ (* (* (* n (/ l Om)) l) (- U U*)) Om) (* (* (/ l Om) 2) l))))))
634.0ms
(pow (* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))) 1/2)
563.0ms
(* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l)))))
558.0ms
(pow (* (* (* U 2) n) (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l)))) 1/2)

rewrite7.6s (3.6%)

Algorithm
29×rewrite-expression-head
Calls

93 calls:

901.0ms
(* (* U 2) (* n (- t (+ (/ (* (* (* n (/ l Om)) l) (- U U*)) Om) (* (* (/ l Om) 2) l)))))
853.0ms
(sqrt (* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))))
839.0ms
(* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l)))))
815.0ms
(* (* (* U 2) n) (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))
812.0ms
(pow (* (* U 2) (* n (- t (+ (* (* (* n (/ l Om)) (/ l Om)) (- U U*)) (* (* (/ l Om) 2) l))))) 1/2)
Rules
528×add-sqr-sqrt
377×add-exp-log
332×sqrt-prod
325×unpow-prod-down
316×add-cbrt-cube
314×pow1
289×*-un-lft-identity
247×add-cube-cbrt
167×prod-exp
151×associate-*r*
129×cbrt-unprod
128×log-prod
124×unswap-sqr
107×pow-prod-down
98×add-log-exp
95×associate-*l*
93×insert-posit16
83×exp-sum
72×associate-*r/
69×sqr-pow
58×times-frac
52×unpow-prod-up
48×sub-neg
46×swap-sqr
38×distribute-lft-in distribute-rgt-in
35×frac-times pow-exp
32×pow-unpow
30×sqrt-pow1 associate-*l/
28×pow-pow
27×pow-to-exp
26×div-exp cbrt-undiv
24×flip3-- flip--
22×pow-sub
21×distribute-lft-out-- difference-of-squares *-commutative
20×exp-prod log-pow
18×pow1/2
14×pow-prod-up
12×pow-plus
11×rem-log-exp
10×rem-sqrt-square
associate-/r*
associate-/l/
pow2 associate-/l* log-div pow-sqr
cbrt-prod div-inv
exp-diff sqrt-div sqrt-pow2
sum-log sinh-def rem-exp-log frac-2neg unpow1/2 associate-/r/ pow3 acos-asin clear-num +-commutative flip-+ flip3-+
div-sub pow1/3 e-exp-1

regimes2.6s (1.2%)

Accuracy

Total 12.2b remaining (5.6%)

Threshold costs 0.6b (0.3%)

10.0b12.5%Toniolo and Linder, Equation (13)
1.6b0%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 003

localize1.2s (0.6%)

bsearch880.0ms (0.4%)

end0.0ms (0.0%)