Date:Wednesday, March 4th, 2020
Commit:29625745 on findroot
Hostname:warfa with Racket 7.5
Seed:2020064
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

sample1.1m (62.6%)

Algorithm
21×intervals
Results
38.2s39465×body10240exit
7.1s7484×body1280valid
5.5s3509×body2560valid
3.2s56623×body80valid
2.5s50549×body80nan
2.1s4566×body640valid
1.6s3010×body1280nan
727.0ms2606×body640nan
557.0ms2238×body320valid
224.0ms1290×body320nan
199.0ms1159×body160valid
116.0ms8356×pre80true
77.0ms638×body160nan
60.0ms34×body5120valid
17.0msbody5120nan
15.0ms23×body2560nan

series27.3s (25.6%)

Calls

86 calls:

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 2))) (pow (/ l Om) (/ 2.0 2))) (- 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*)))))
1.3s
(* (* 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*)))))

prune7.2s (6.7%)

simplify2.9s (2.7%)

Algorithm
46×egg-herbie

regimes1.6s (1.5%)

Accuracy

Total 11.1b remaining (5.1%)

Threshold costs 0.4b (0.2%)

9.0b27.7%Toniolo and Linder, Equation (13)
1.7b0%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 015

rewrite460.0ms (0.4%)

Algorithm
28×rewrite-expression-head
Calls

86 calls:

19.0ms
(* (* 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*)))))
18.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
18.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
18.0ms
(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*))))))
17.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
Rules
448×add-sqr-sqrt
413×*-un-lft-identity
365×add-cube-cbrt
290×add-exp-log
279×prod-diff
222×pow1
189×unpow-prod-down
188×distribute-rgt-in distribute-lft-in
165×unpow-prod-up add-cbrt-cube
125×prod-exp
121×sqrt-prod
112×associate-*r/
91×cbrt-prod
87×log1p-expm1-u
86×add-log-exp expm1-log1p-u
79×associate-*r*
60×pow-prod-down associate--l+
58×times-frac
53×sqrt-pow1
47×sub-neg cbrt-unprod
46×flip-- flip3--
41×pow-unpow
39×pow-exp
36×pow-pow
32×frac-sub
28×pow1/2
24×cube-prod difference-of-squares distribute-lft-out-- sqrt-div pow-to-exp
21×log-prod
20×sqr-pow
19×log-pow
18×div-exp
17×associate-*l*
16×exp-prod
12×unswap-sqr
11×*-commutative rem-sqrt-square
pow-sub
sqrt-pow2 associate-/r*
expm1-udef
associate-/l* sin-diff rem-log-exp
pow1/3 div-inv
acos-asin
cbrt-undiv exp-sum
associate-/l/ associate-/r/ clear-num frac-2neg sinh-def
expm1-log1p cbrt-div cube-div exp-diff cube-mult div-sub unpow3 rem-exp-log log-div rem-cbrt-cube

localize457.0ms (0.4%)

bsearch102.0ms (0.1%)

end0.0ms (0.0%)