Date:Tuesday, February 25th, 2020
Commit:7c13946c on findroot
Hostname:warfa with Racket 7.5
Seed:2020056
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample1.0m (60.3%)

Algorithm
21×intervals
Results
35.5s38961×body10240exit
6.8s7225×body1280valid
5.4s3443×body2560valid
2.9s56619×body80valid
2.9s57366×body80nan
2.0s4755×body640valid
571.0ms2378×body320valid
194.0ms1188×body160valid
125.0ms8356×pre80true
52.0ms34×body5120valid
20.0ms29×body2560nan
19.0msbody5120nan
8.0ms21×body1280nan
3.0ms17×body640nan
2.0msbody320nan
1.0msbody160nan

series27.3s (26.9%)

Calls

88 calls:

4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ (pow l 1.0) (pow Om 1.0)) 1.0)) (pow (/ l Om) (/ 2.0 2))) (- 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*)))))
1.3s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ (pow l 1.0) (pow Om 1.0)) 1.0)) (pow (/ l Om) (/ 2.0 2))) (- U U*))))

prune6.5s (6.4%)

simplify3.3s (3.2%)

Algorithm
49×egg-herbie

regimes1.4s (1.4%)

Accuracy

Total 9.1b remaining (4.4%)

Threshold costs 0.5b (0.2%)

6.8b20.9%Toniolo and Linder, Equation (13)
1.8b0%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 003

rewrite1.1s (1.1%)

Algorithm
31×rewrite-expression-head
Calls

88 calls:

224.0ms
(* (* (* n (pow (/ (pow l 1.0) (pow Om 1.0)) 1.0)) (pow (/ l Om) (/ 2.0 2))) (- U U*))
83.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
64.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
61.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ (pow l 1.0) (pow Om 1.0)) 1.0)) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
54.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
531×add-exp-log
512×add-sqr-sqrt
364×*-un-lft-identity
351×unpow-prod-down
291×prod-exp
270×add-cube-cbrt
238×sqrt-prod
211×pow1
173×add-cbrt-cube
154×pow-exp times-frac
153×associate-*r*
97×add-log-exp
90×associate-*r/
81×pow-to-exp
76×div-exp
70×unswap-sqr
62×sqr-pow
57×flip-- flip3--
54×pow-prod-down
48×cbrt-unprod
47×sub-neg associate-*l*
46×swap-sqr distribute-lft-out-- sqrt-pow1
43×unpow-prod-up
40×difference-of-squares
33×frac-sub
28×distribute-rgt-in exp-prod pow-pow distribute-lft-in
27×pow-unpow log-prod
26×pow1/2
24×sqrt-div log-pow
20×cbrt-prod
18×associate-/r*
16×associate--l+
13×*-commutative
12×associate-/l* rem-sqrt-square pow-sub
10×associate-/r/
div-inv
cbrt-div
rem-log-exp
sqrt-pow2
cbrt-undiv
pow1/3 acos-asin rem-exp-log clear-num frac-2neg
diff-log exp-sum distribute-rgt-out--
associate-/l/ frac-times pow-sqr associate-*l/ e-exp-1 pow-prod-up pow2 sinh-def
exp-diff log-div div-sub sub-div

localize438.0ms (0.4%)

bsearch237.0ms (0.2%)

end0.0ms (0.0%)