Details

sample1.3m (44.8%)

Algorithm
12×intervals
Results
47.6s32664×body10240exit
8.0s3522×body2560valid
5.9s37232×body80valid
5.7s37166×body80nan
4.9s4963×body1280valid
1.6s2875×body640valid
538.0ms1461×body320valid
352.0ms8256×pre80true
227.0ms764×body160valid
44.0ms14×body5120valid
13.0msbody5120nan
7.0msbody2560nan
6.0msbody1280nan
5.0msbody640nan
3.0msbody320nan
2.0msbody160nan

simplify1.0m (34.6%)

prune22.0s (12.6%)

series9.6s (5.5%)

Calls

59 calls:

Slowest
1.5s
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*)))))
1.2s
(sqrt (* (* 2 n) (* U (- t (fma 2 (/ l (/ Om l)) (* (* n (* (/ l Om) (/ l Om))) (- U U*)))))))
1.2s
(sqrt (* (* 2 n) (* U (- t (fma 2 (/ l (/ Om l)) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))))
1.1s
(sqrt (* (* 2 n) (* U (- t (fma 2 (/ l (/ Om l)) (* (* (* (* (cbrt n) (cbrt n)) (* (cbrt n) (/ l Om))) (/ l Om)) (- U U*)))))))
589.0ms
(* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))

rewrite1.7s (1.0%)

Algorithm
19×rewrite-expression-head
Calls

59 calls:

Slowest
513.0ms
(* (* n (* (/ l Om) (/ l Om))) (- U U*))
347.0ms
(* (* (* (* (cbrt n) (cbrt n)) (* (cbrt n) (/ l Om))) (/ l Om)) (- U U*))
192.0ms
(* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*))))
87.0ms
(* (* (* n (/ l Om)) (/ l Om)) (- U U*))
84.0ms
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*)))))
Rules
360×add-sqr-sqrt
303×add-exp-log
297×*-un-lft-identity
279×pow1
274×add-cbrt-cube
263×add-cube-cbrt
210×prod-diff
197×distribute-lft-in distribute-rgt-in
149×prod-exp
143×cbrt-unprod
115×pow-prod-down
97×associate-*r/
89×sqrt-prod
75×associate-*r*
59×add-log-exp expm1-log1p-u insert-posit16 log1p-expm1-u
58×sqrt-pow1
46×associate-*l*
39×pow1/2
38×times-frac
32×flip3-- flip--
30×frac-times
29×div-exp
28×cbrt-undiv
26×sub-neg
24×unswap-sqr swap-sqr
22×sqrt-div
21×pow-prod-up associate-*l/
17×distribute-lft-out-- difference-of-squares *-commutative
16×sinh-def
10×associate--l+
pow-sqr
frac-sub log-pow associate-/r*
exp-prod log-prod associate-/l*
pow-plus
fma-udef sqrt-unprod
rem-square-sqrt pow2 rem-sqrt-square div-inv
rem-log-exp associate-/r/ associate-/l/ frac-2neg cube-unmult acos-asin clear-num pow-exp
div-sub pow-to-exp

regimes1.6s (0.9%)

Accuracy

Total 9.1b remaining (5%)

Threshold costs 0.5b (0.3%)

8.7b24.1%Toniolo and Linder, Equation (13)
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 002
0.0b0%Random Jason Timeout Test 014

localize756.0ms (0.4%)

bsearch380.0ms (0.2%)

end0.0ms (0.0%)