Details

sample1.3m (43.0%)

Algorithm
18×intervals
Results
47.7s32185×body10240exit
7.3s3452×body2560valid
5.9s37289×body80valid
5.5s37046×body80nan
4.9s4863×body1280valid
1.6s2984×body640valid
567.0ms1489×body320valid
349.0ms8356×pre80true
193.0ms737×body160valid
80.0ms64×body2560nan
45.0ms54×body1280nan
25.0ms15×body5120valid
21.0ms31×body640nan
10.0ms25×body320nan
5.0msbody5120nan
3.0ms10×body160nan

simplify1.0m (33.8%)

series24.5s (13.6%)

Calls

52 calls:

2.8s
(sqrt (* (* U 2) (* n (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t)))))
2.3s
(sqrt (* (* U 2) (* n (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t)))))
2.2s
(sqrt (* (* U 2) (* n (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t)))))
1.8s
(sqrt (* (* U 2) (* n (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t)))))
1.8s
(sqrt (* (* U 2) (* n (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t)))))

prune13.5s (7.5%)

regimes2.4s (1.3%)

Accuracy

Total 7.2b remaining (3.9%)

Threshold costs 0.1b (0.1%)

5.1b40.6%Toniolo and Linder, Equation (13)
1.9b0%Random Jason Timeout Test 004
0.1b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 002
0.0b0%Random Jason Timeout Test 014

localize754.0ms (0.4%)

rewrite514.0ms (0.3%)

Algorithm
17×rewrite-expression-head
Calls

52 calls:

50.0ms
(* (* U 2) (* n (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t))))
47.0ms
(* (* U 2) (* n (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t))))
45.0ms
(sqrt (* (* U 2) (* n (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t)))))
36.0ms
(sqrt (* (* U 2) (* n (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t)))))
32.0ms
(* (* U 2) (* n (fma (- U* U) (/ (/ n (/ Om l)) (/ Om l)) (fma (/ l (/ Om l)) -2 t))))
Rules
238×pow1
161×add-sqr-sqrt
157×*-un-lft-identity
133×add-cube-cbrt
114×pow-prod-down
109×times-frac
101×add-cbrt-cube
100×add-exp-log
55×sqrt-pow1
53×expm1-log1p-u
52×add-log-exp insert-posit16 log1p-expm1-u
26×cbrt-unprod prod-exp
24×cbrt-prod
21×associate-/r*
15×log-pow fma-udef
14×sqrt-prod
12×exp-prod distribute-lft-out-- distribute-lft-in difference-of-squares distribute-rgt-in
11×pow1/2 associate-/l*
log-prod associate-*l* associate-*r*
pow1/3
div-inv
div-exp cbrt-undiv *-commutative
acos-asin
rem-log-exp frac-2neg associate-/r/ clear-num
sinh-def associate-/l/ flip3-- flip-- unswap-sqr cosh-def
div-sub log1p-expm1 log1p-udef

bsearch149.0ms (0.1%)

end0.0ms (0.0%)