Details

sample1.0m (54.5%)

Algorithm
21×intervals
Results
34.6s35377×body10240exit
6.9s7292×body1280valid
5.5s3441×body2560valid
2.9s58628×body80nan
2.8s56590×body80valid
2.2s4762×body640valid
573.0ms2271×body320valid
201.0ms1166×body160valid
166.0ms3708×body80overflowed
116.0ms8356×pre80true
46.0ms25×body5120valid
17.0msbody5120nan
16.0ms29×body2560nan
5.0ms22×body1280nan
5.0ms21×body640nan
2.0msbody320nan
2.0ms14×body160nan

series37.4s (33.6%)

Calls

82 calls:

5.6s
(sqrt (+ (* (* (* 2.0 n) U) (fma (* (cbrt t) (cbrt t)) (cbrt t) (- (* (* l (/ l Om)) 2.0)))) (* (* (* 2.0 n) U) (- (fma (- (* l (/ l Om))) 2.0 (* (* l (/ l Om)) 2.0)) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

prune7.0s (6.3%)

simplify2.9s (2.6%)

Algorithm
43×egg-herbie

regimes1.9s (1.7%)

Accuracy

Total 13.2b remaining (5.9%)

Threshold costs 0.1b (0.1%)

11.2b-6.9%Toniolo and Linder, Equation (13)
1.8b0%Random Jason Timeout Test 006
0.1b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 003

rewrite742.0ms (0.7%)

Algorithm
25×rewrite-expression-head
Calls

82 calls:

56.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
52.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
51.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
50.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
44.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
Rules
363×add-sqr-sqrt
320×*-un-lft-identity
282×add-cube-cbrt
227×pow1
207×add-exp-log
165×prod-diff
148×add-cbrt-cube
96×associate-*r/
84×sqrt-prod add-log-exp
83×log1p-expm1-u
82×expm1-log1p-u
78×unpow-prod-down
75×times-frac
73×prod-exp
69×pow-prod-down
68×distribute-rgt-in distribute-lft-in
54×associate-*r*
51×flip-- flip3--
49×cbrt-prod
47×pow-exp
44×unpow-prod-up
42×associate--l+ sqrt-pow1
40×cbrt-unprod
38×pow-unpow
36×frac-sub
32×sqrt-div
27×sub-neg pow1/2
24×pow-to-exp
23×pow-pow
22×associate-*l*
20×difference-of-squares
19×distribute-lft-out--
14×swap-sqr
13×fma-neg
12×rem-sqrt-square unswap-sqr log-pow
11×sqr-pow
10×*-commutative pow1/3
exp-prod pow-prod-up log-prod
associate-/r*
expm1-udef pow-sqr div-inv
associate-/l* div-exp
sin-diff unpow1/2 sqrt-pow2 fma-udef pow2 pow-sub
expm1-log1p cbrt-undiv sqrt-unprod rem-log-exp
associate-/l/ pow-plus acos-asin asin-acos associate-/r/ clear-num frac-2neg
rem-square-sqrt div-sub flip-+ flip3-+ associate--r- distribute-lft-out diff-log cosh-def

localize443.0ms (0.4%)

bsearch295.0ms (0.3%)

end0.0ms (0.0%)