Date:Wednesday, March 18th, 2020
Commit:7c9a4fcd on better-rr
Hostname:warfa with Racket 7.5
Seed:2020078
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:better-rrreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample1.1m (68.1%)

Algorithm
21×intervals
Results
38.4s39270×body10240exit
7.1s7376×body1280valid
5.6s3495×body2560valid
3.3s56597×body80valid
2.5s50041×body80nan
2.1s4594×body640valid
1.6s3041×body1280nan
738.0ms2614×body640nan
587.0ms2230×body320valid
239.0ms1338×body320nan
227.0ms1242×body160valid
120.0ms8356×pre80true
82.0ms671×body160nan
67.0ms33×body5120valid
25.0ms41×body2560nan
17.0msbody5120nan

series25.8s (26.1%)

Calls

51 calls:

4.5s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
4.5s
(sqrt (* n (* (* 2.0 U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))))
4.5s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.5s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.4s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))

simplify2.7s (2.7%)

Algorithm
39×egg-herbie

prune1.6s (1.6%)

Filtered
445 candidates to 283 candidates (63.6%)

regimes874.0ms (0.9%)

Accuracy

Total 10.3b remaining (4.7%)

Threshold costs 0.0b (0%)

10.3b31.8%Toniolo and Linder, Equation (13)
0.0b0%Random Jason Timeout Test 003
0.0b0%Random Jason Timeout Test 015
0.0b0%Random Jason Timeout Test 012

localize267.0ms (0.3%)

rewrite206.0ms (0.2%)

Algorithm
21×rewrite-expression-head
Calls

51 calls:

14.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
11.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
10.0ms
(* n (* (* 2.0 U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
10.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))
9.0ms
(sqrt (* n (* (* 2.0 U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))))
Rules
116×associate-*r/
52×associate-*l*
48×flip-- flip3--
38×*-commutative
36×distribute-rgt-in distribute-lft-in sub-neg
32×frac-sub
24×sqrt-prod sqrt-div
22×sqr-pow
20×associate--l+
18×associate-*r* div-inv
15×pow-to-exp
14×unpow-prod-down
12×unpow-prod-up
10×pow-sub
pow1/2 pow-unpow
div-sub
difference-of-squares pow-pow
associate-/l* associate-/l/ associate-/r/ sinh-def pow-exp clear-num sqrt-pow2 frac-2neg asin-acos
unpow3 acos-asin associate--r-

bsearch106.0ms (0.1%)

end0.0ms (0.0%)