Details

simplify1.9m (42.2%)

sample1.9m (41.8%)

Algorithm
21×intervals
Results
1.1m37800×body10240exit
13.3s7325×body1280valid
8.8s57734×body80nan
8.7s3503×body2560valid
7.0s56476×body80valid
4.6s4730×body640valid
1.1s2266×body320valid
458.0ms1189×body160valid
383.0ms8356×pre80true
89.0ms34×body5120valid
27.0ms23×body2560nan
27.0msbody5120nan
10.0ms19×body1280nan
6.0ms15×body640nan
4.0ms11×body320nan
1.0msbody160nan

prune18.6s (6.7%)

series15.7s (5.7%)

Calls

96 calls:

2.0s
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2)) (- U U*)))))
1.9s
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2)) (- U U*)))))
1.9s
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))
1.8s
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (* (* (/ l Om) n) (/ l Om)) (- U U*)))))
623.0ms
(* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (* (* n (/ l Om)) (/ l Om)) (- U U*))))

regimes4.4s (1.6%)

Accuracy

Total 13.5b remaining (6.2%)

Threshold costs 0.5b (0.2%)

9.0b15.6%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

rewrite3.1s (1.1%)

Algorithm
29×rewrite-expression-head
Calls

96 calls:

275.0ms
(* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (* (* (/ l Om) n) (/ l Om)) (- U U*))))
262.0ms
(* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (* (* n (/ l Om)) (/ l Om)) (- U U*))))
224.0ms
(sqrt (* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (* (* (/ l Om) n) (/ l Om)) (- U U*)))))
214.0ms
(* (* (* 2 n) U) (- (- t (* 2 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2)) (- U U*))))
205.0ms
(* (* (* n (/ l Om)) (/ l Om)) (- U U*))
Rules
593×add-sqr-sqrt
448×*-un-lft-identity
404×add-cube-cbrt
279×add-exp-log
246×prod-diff
238×pow1
229×add-cbrt-cube
223×associate-*r/
214×sqrt-prod
207×unpow-prod-down
162×unpow-prod-up
126×associate-*r*
112×flip3-- flip--
106×prod-exp
104×frac-sub
102×add-log-exp
97×expm1-log1p-u log1p-expm1-u
96×insert-posit16
93×associate-*l/ cbrt-prod
92×frac-times
87×associate-*l*
84×distribute-lft-in distribute-rgt-in
75×cbrt-unprod
74×pow-prod-down
72×swap-sqr
65×unswap-sqr
60×sqrt-div
58×times-frac
54×sqrt-pow1
51×exp-prod
42×sub-neg
40×associate--l+
36×sqr-pow
30×pow-unpow
24×pow-exp
22×pow1/2 distribute-lft-out-- difference-of-squares
21×pow-to-exp
20×log-pow
19×pow1/3
18×div-exp
16×*-commutative pow-pow
15×log-prod cbrt-undiv
14×pow-sub
10×pow-prod-up
pow-sqr associate-/r*
rem-exp-log associate-/l* rem-sqrt-square
rem-log-exp div-inv
sqrt-pow2
expm1-udef pow2
sinh-def unpow2 associate-/l/ frac-2neg associate-/r/ fma-udef acos-asin clear-num sin-diff
div-sub expm1-log1p rem-square-sqrt log1p-expm1 pow-plus sqrt-unprod log1p-udef

localize1.8s (0.6%)

bsearch666.0ms (0.2%)

end0.0ms (0.0%)