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:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:better-rrreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

sample1.1m (63.9%)

Algorithm
21×intervals
Results
37.7s39270×body10240exit
7.0s7376×body1280valid
5.5s3495×body2560valid
3.2s56597×body80valid
2.5s50041×body80nan
2.0s4594×body640valid
1.5s3041×body1280nan
720.0ms2614×body640nan
561.0ms2230×body320valid
228.0ms1338×body320nan
210.0ms1242×body160valid
122.0ms8356×pre80true
78.0ms671×body160nan
67.0ms33×body5120valid
30.0ms41×body2560nan
17.0msbody5120nan

series30.4s (29.4%)

Calls

63 calls:

5.0s
(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*))))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.9s
(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*)))))))
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*))))))

simplify2.8s (2.7%)

Algorithm
42×egg-herbie

prune2.3s (2.2%)

Filtered
557 candidates to 353 candidates (63.4%)

regimes1.2s (1.1%)

Accuracy

Total 10.9b remaining (5%)

Threshold costs 0.8b (0.3%)

10.1b27.7%Toniolo and Linder, Equation (13)
0.7b0%Random Jason Timeout Test 006
0.0b0%Random Jason Timeout Test 003
0.0b0%Random Jason Timeout Test 015
0.0b0%Random Jason Timeout Test 012

localize348.0ms (0.3%)

rewrite281.0ms (0.3%)

Algorithm
24×rewrite-expression-head
Calls

63 calls:

15.0ms
(- (pow (/ (+ (sin (- (exp a) 1)) (sin (+ (exp a) 1))) 2) 3) (pow (* (cos (exp a)) (sin 1)) 3))
13.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
13.0ms
(- (/ (+ (sin (- (exp a) 1)) (sin (+ (exp a) 1))) 2) (* (cos (exp a)) (sin 1)))
13.0ms
(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*)))))))
12.0ms
(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*))))))
Rules
116×associate-*r/
58×flip-- flip3--
52×associate-*l*
47×*-commutative
44×sub-neg
38×frac-sub
36×distribute-rgt-in distribute-lft-in
32×sqr-pow
28×div-inv
25×unpow-prod-down
24×sqrt-div sqrt-prod
20×associate--l+
18×prod-diff
15×pow-to-exp
14×associate-*r*
12×unpow-prod-up
10×fma-neg pow-sub
unpow3
pow-unpow div-sub pow1/2
clear-num frac-2neg associate--r- acos-asin pow-pow
expm1-def associate--r+
associate-/l/ associate-/r/ sinh-def expm1-udef pow-exp associate-/l* sqrt-pow2 asin-acos sin-diff
associate--l- difference-cubes associate-+l- sin-cos-mult difference-of-squares

bsearch111.0ms (0.1%)

end0.0ms (0.0%)