Details

sample2.4m (48.2%)

Algorithm
21×intervals
Results
1.3m37556×body10240exit
15.3s7430×body1280valid
13.3s57544×body80nan
10.4s56458×body80valid
10.3s3448×body2560valid
5.3s4634×body640valid
1.7s2377×body320valid
616.0ms1230×body160valid
296.0ms8356×pre80true
103.0ms39×body5120valid
39.0ms11×body5120nan
31.0ms23×body2560nan
27.0ms27×body1280nan
8.0ms14×body640nan
6.0ms12×body320nan
3.0msbody160nan

simplify1.9m (37.8%)

series18.3s (6.2%)

Calls

103 calls:

2.2s
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))))
2.2s
(sqrt (* 2 (* (* U n) (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (/ l (/ Om n)))))))))
2.1s
(sqrt (* 2 (* (* U n) (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U)))))))))
1.5s
(sqrt (* 2 (+ (* t (* U n)) (* U (* (* n (/ l Om)) (- (- (* l 2) (* (* n (/ l Om)) (- U* U)))))))))
528.0ms
(* (* U n) (- t (* (/ l Om) (- (* 2 l) (* (- U* U) (/ l (/ Om n)))))))

prune15.0s (5.1%)

regimes5.1s (1.7%)

Accuracy

Total 10.1b remaining (4.7%)

Threshold costs 1.6b (0.8%)

4.3b33%Toniolo and Linder, Equation (13)
2.1b0%Random Jason Timeout Test 006
2.0b0%Random Jason Timeout Test 004
0.6b0%Random Jason Timeout Test 002
0.6b0%Random Jason Timeout Test 014

rewrite1.4s (0.5%)

Algorithm
31×rewrite-expression-head
Calls

103 calls:

131.0ms
(* U (* (* n (/ l Om)) (- (- (* l 2) (* (* n (/ l Om)) (- U* U))))))
65.0ms
(sqrt (* 2 (* U (* n (- t (* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U))))))))))
61.0ms
(sin (* (pow (atan2 b b) (/ (/ (- b a) 2) 2)) (pow (atan2 b b) (/ (/ (- b a) 2) 2))))
58.0ms
(* (/ l Om) (- (* 2 l) (* (/ l Om) (* n (- U* U)))))
58.0ms
(* (/ l Om) (* n (- U* U)))
Rules
761×add-sqr-sqrt
669×*-un-lft-identity
645×times-frac
549×add-cube-cbrt
292×pow-unpow
285×add-exp-log
265×pow1
243×add-cbrt-cube
163×cbrt-prod
145×associate-*r*
123×associate-*l*
107×add-log-exp
103×insert-posit16
96×prod-exp
81×pow-prod-down
76×cbrt-unprod
74×unpow-prod-down
61×associate-*r/
60×distribute-lft-out-- difference-of-squares
54×distribute-lft-in distribute-rgt-in
50×unswap-sqr
42×log-prod
40×sqrt-prod
35×pow1/3
32×sqr-pow div-inv
28×sub-neg
27×div-sub
26×swap-sqr *-commutative
25×flip3-- flip--
24×sqrt-pow1
23×associate-*l/
22×pow-to-exp pow-exp
20×log-pow
18×associate-/r*
16×sinh-def frac-times pow-sub
15×div-exp cbrt-undiv
14×pow1/2 cbrt-div
12×pow-pow
distribute-neg-in sqrt-div associate-/l*
exp-prod pow-prod-up pow-sqr
rem-log-exp distribute-neg-frac pow2 associate-/r/ unpow-prod-up rem-sqrt-square
acos-asin flip-+ flip3-+
associate-/l/ frac-2neg distribute-rgt-neg-out sum-log pow-plus clear-num sqrt-pow2 +-commutative
pow3

localize1.2s (0.4%)

bsearch5.0ms (0.0%)

end0.0ms (0.0%)