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: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

sample1.0m (59.7%)

Algorithm
21×intervals
Results
35.7s38961×body10240exit
6.9s7225×body1280valid
5.4s3443×body2560valid
2.8s57366×body80nan
2.8s56619×body80valid
2.1s4755×body640valid
577.0ms2378×body320valid
199.0ms1188×body160valid
113.0ms8356×pre80true
52.0ms34×body5120valid
20.0ms29×body2560nan
19.0msbody5120nan
8.0ms21×body1280nan
3.0ms17×body640nan
2.0msbody320nan
1.0msbody160nan

series27.3s (26.5%)

Calls

87 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 (pow (* (* (* 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*)))) 1))
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 (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))

prune7.8s (7.5%)

simplify3.1s (3.0%)

Algorithm
48×egg-herbie

regimes1.6s (1.5%)

Accuracy

Total 11.2b remaining (5.1%)

Threshold costs 0.5b (0.2%)

8.9b2.8%Toniolo and Linder, Equation (13)
1.8b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.1b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

rewrite991.0ms (1.0%)

Algorithm
30×rewrite-expression-head
Calls

87 calls:

83.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
82.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
66.0ms
(* (* (* 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*))))
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*))))
55.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a)))))
Rules
658×add-sqr-sqrt
467×*-un-lft-identity
417×add-cube-cbrt
375×add-exp-log
307×unpow-prod-down
296×sqrt-prod
291×prod-diff
198×unpow-prod-up pow1
190×prod-exp
170×add-cbrt-cube
158×associate-*r*
100×log-prod
95×distribute-rgt-in distribute-lft-in
94×add-log-exp
92×unswap-sqr
89×associate-*l*
88×log1p-expm1-u
87×expm1-log1p-u
83×associate-*r/
69×pow-exp
64×swap-sqr
58×times-frac
57×sqr-pow
52×flip-- flip3-- exp-sum
49×cbrt-unprod
48×pow-prod-down
47×sub-neg
44×pow-to-exp
40×associate--l+ sqrt-pow1
28×exp-prod frac-sub cbrt-div
26×pow-unpow div-exp
25×difference-of-squares distribute-lft-out-- pow1/2 log-pow
24×cbrt-prod
23×pow-pow
18×sqrt-div
17×pow-sub
15×rem-sqrt-square
14×*-commutative
10×rem-log-exp
associate-/r*
frac-times
associate-/l* fma-neg
associate-*l/ sqrt-pow2 div-inv
pow1/3 acos-asin rem-exp-log log-div
cbrt-undiv exp-diff expm1-udef
diff-log associate-/l/ pow-sqr e-exp-1 associate-/r/ pow-prod-up clear-num frac-2neg sin-diff pow2 sinh-def
expm1-log1p div-sub

localize429.0ms (0.4%)

bsearch389.0ms (0.4%)

end0.0ms (0.0%)