Details

sample1.8m (35.8%)

Algorithm
21×intervals
Results
1.1m39188×body10240exit
13.0s7285×body1280valid
8.0s3470×body2560valid
6.5s56544×body80valid
5.7s57341×body80nan
3.9s4738×body640valid
1.0s2313×body320valid
330.0ms1217×body160valid
133.0ms8356×pre80true
26.0ms18×body5120valid
25.0ms30×body2560nan
16.0msbody5120nan
10.0ms24×body1280nan
5.0ms12×body640nan
2.0msbody320nan
2.0msbody160nan

simplify1.4m (28.2%)

series1.3m (24.6%)

Calls

96 calls:

15.5s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* n (pow (/ l Om) 2.0)) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
15.4s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
11.8s
(sqrt (* (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) (* (cbrt U) (cbrt U))) (cbrt U)))
9.9s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
9.8s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))

rewrite15.0s (4.9%)

Algorithm
29×rewrite-expression-head
Calls

96 calls:

4.2s
(sqrt (* (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) (* (cbrt U) (cbrt U))) (cbrt U)))
1.6s
(* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U)
1.5s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
1.1s
(sqrt (* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U))
1.1s
(* (* (* 2.0 n) (+ t (- (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U* U)) (* (* 2.0 l) (/ l Om))))) U)
Rules
407×add-exp-log
382×add-sqr-sqrt
357×pow1
298×*-un-lft-identity
260×add-cube-cbrt
210×add-cbrt-cube
202×prod-exp
134×log-pow
130×exp-prod
125×associate-*r*
122×pow-prod-down
119×unpow-prod-down
106×add-log-exp
94×sqrt-pow1
89×sqrt-prod
81×cbrt-unprod
74×cbrt-prod
58×log-prod
55×associate-*l* times-frac
54×pow-exp
51×pow1/3
36×unswap-sqr
30×pow-to-exp
28×pow-unpow
27×pow1/2
26×associate-*r/
24×swap-sqr
23×div-exp unpow-prod-up
22×sqr-pow associate-*l/
21×*-commutative
19×distribute-lft-out-- difference-of-squares
16×pow-prod-up pow-sqr sub-neg
14×rem-sqrt-square pow-pow
12×flip3-+ flip-+
10×rem-log-exp sqrt-div
pow2 pow-plus
exp-sum
sin-sum sum-log distribute-lft-in distribute-rgt-in
rem-exp-log flip3-- flip-- associate-/r* associate-/l*
sqrt-pow2 div-inv pow-sub
sinh-def associate-/l/ associate-/r/ associate-+l+ acos-asin +-commutative e-exp-1
div-sub cbrt-undiv frac-2neg clear-num

prune13.8s (4.5%)

regimes4.7s (1.5%)

Accuracy

Total 8.9b remaining (4.1%)

Threshold costs 0.5b (0.2%)

6.1b36.2%Toniolo and Linder, Equation (13)
2.4b0%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

localize1.5s (0.5%)

bsearch178.0ms (0.1%)

end0.0ms (0.0%)