Details

sample1.9m (40.1%)

Algorithm
21×intervals
Results
1.1m38738×body10240exit
12.1s7377×body1280valid
8.1s57729×body80nan
7.6s3383×body2560valid
6.6s56445×body80valid
4.3s4771×body640valid
1.1s2322×body320valid
844.0ms1205×body160valid
198.0ms8356×pre80true
128.0ms34×body5120valid
38.0ms14×body5120nan
24.0ms29×body2560nan
12.0ms25×body1280nan
5.0ms11×body640nan
4.0ms15×body320nan
1.0msbody160nan

simplify1.7m (37.2%)

series43.1s (15.3%)

Calls

93 calls:

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 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
6.9s
(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*)))))
5.3s
(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*))))))
2.2s
(* (* (* 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*))))

prune12.9s (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

rewrite2.7s (1.0%)

Algorithm
29×rewrite-expression-head
Calls

93 calls:

256.0ms
(* (* (* 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*))))
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*)))))
217.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
210.0ms
(* (* (* 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*))))
200.0ms
(* (* (* 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
84×cbrt-unprod unpow-prod-down associate-*r*
60×sinh-def
56×associate-*l* flip3-- flip--
51×cbrt-prod
50×pow-exp
48×sqrt-pow1 times-frac
40×sub-neg frac-sub
35×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×associate--l+
14×cbrt-div rem-sqrt-square
12×unpow-prod-up associate--r+ log-pow sqr-pow swap-sqr
11×pow-sqr
exp-prod pow2 log-prod
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 flip-+ cosh-def

localize1.4s (0.5%)

bsearch432.0ms (0.2%)

end0.0ms (0.0%)