Details

sample1.9m (40.6%)

Algorithm
21×intervals
Results
1.1m38738×body10240exit
12.3s7377×body1280valid
8.7s3383×body2560valid
7.9s57729×body80nan
6.6s56445×body80valid
4.4s4771×body640valid
1.4s2322×body320valid
805.0ms1205×body160valid
219.0ms8356×pre80true
127.0ms34×body5120valid
36.0ms14×body5120nan
31.0ms29×body2560nan
17.0ms25×body1280nan
5.0ms11×body640nan
4.0ms15×body320nan
1.0msbody160nan

simplify1.7m (36.0%)

series43.6s (15.7%)

Calls

93 calls:

7.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
7.3s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
7.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
5.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
2.0s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune12.7s (4.6%)

regimes3.7s (1.3%)

Accuracy

Total 13.3b remaining (6%)

Threshold costs 0.6b (0.3%)

10.8b11.2%Toniolo and Linder, Equation (13)
1.9b0%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

rewrite2.8s (1.0%)

Algorithm
29×rewrite-expression-head
Calls

93 calls:

544.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
217.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
204.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
181.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
166.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
Rules
397×add-exp-log
334×pow1
305×add-sqr-sqrt
253×*-un-lft-identity
224×add-cbrt-cube
209×add-cube-cbrt
198×prod-exp
124×associate-*r/
103×add-log-exp
96×pow-prod-down
88×sqrt-prod
86×associate-*r*
84×cbrt-unprod unpow-prod-down
60×sinh-def
56×flip3-- flip--
54×associate-*l*
51×cbrt-prod
50×pow-exp
48×sqrt-pow1 times-frac
44×sub-neg
40×frac-sub
39×distribute-rgt-in distribute-lft-in
32×pow-unpow
29×pow-to-exp
28×pow1/2 pow-pow
25×pow-prod-up
24×unswap-sqr div-exp pow1/3 sqrt-div
22×difference-of-squares frac-times distribute-lft-out-- associate-*l/
21×pow-plus *-commutative
20×unpow-prod-up associate--l+
14×cbrt-div rem-sqrt-square
12×associate--r+ log-pow sqr-pow swap-sqr
11×pow-sqr
log-prod exp-prod pow2
associate-/r*
pow-sub sqrt-pow2 diff-log associate-/l*
pow3
acos-asin div-inv
rem-log-exp cbrt-undiv
associate--l- associate-/l/ frac-2neg associate-/r/ clear-num rem-cbrt-cube
exp-diff div-sub flip3-+ log-div cosh-def flip-+

localize1.7s (0.6%)

bsearch417.0ms (0.2%)

end0.0ms (0.0%)