Details

sample1.8m (42.2%)

Algorithm
21×intervals
Results
1.1m39216×body10240exit
11.3s7432×body1280valid
8.4s3505×body2560valid
7.7s58135×body80nan
5.9s56592×body80valid
3.8s4543×body640valid
1.4s2301×body320valid
349.0ms1185×body160valid
153.0ms8356×pre80true
71.0ms30×body5120valid
22.0ms31×body2560nan
15.0msbody5120nan
10.0ms32×body1280nan
3.0ms11×body640nan
2.0msbody160nan
1.0msbody320nan

simplify1.6m (35.8%)

series39.4s (15.0%)

Calls

84 calls:

7.2s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
7.2s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
7.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
5.8s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* n (* (pow (/ l Om) 2.0) (- U U*)))))))
2.4s
(* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

prune11.3s (4.3%)

regimes3.8s (1.5%)

Accuracy

Total 11.3b remaining (5.2%)

Threshold costs 0.5b (0.2%)

9.1b34.3%Toniolo and Linder, Equation (13)
1.7b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 002

rewrite1.8s (0.7%)

Algorithm
27×rewrite-expression-head
Calls

84 calls:

154.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
149.0ms
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
131.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* n (* (pow (/ l Om) 2.0) (- U U*))))))
117.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
114.0ms
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
Rules
251×pow1
247×add-sqr-sqrt
246×add-exp-log
199×*-un-lft-identity
184×add-cbrt-cube
169×add-cube-cbrt
132×associate-*r/
96×prod-exp
93×associate-*r*
89×add-log-exp
75×pow-prod-down
59×cbrt-unprod
58×times-frac
54×distribute-lft-in distribute-rgt-in
53×unpow-prod-down
46×flip3-- flip--
39×associate-*l*
34×sub-neg sqrt-prod
32×frac-sub
29×sqrt-pow1
27×exp-prod log-prod
24×sqrt-div associate--l+
21×unswap-sqr log-pow
17×*-commutative
16×pow-exp
15×distribute-lft-out-- difference-of-squares
14×pow1/2
12×pow-prod-up pow-plus
10×div-exp rem-sqrt-square sqr-pow
exp-sum pow-to-exp
associate-/r*
rem-log-exp sinh-def associate-/l*
div-inv
rem-exp-log pow2 pow-sqr
cbrt-undiv
sum-log exp-diff associate-/l/ flip3-+ frac-2neg associate-/r/ pow3 acos-asin clear-num +-commutative flip-+ log-div
div-sub

localize1.3s (0.5%)

bsearch5.0ms (0.0%)

end0.0ms (0.0%)