Date:Tuesday, February 25th, 2020
Commit:61e80a61 on faster-rr
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 (60.6%)

Algorithm
21×intervals
Results
35.6s38961×body10240exit
6.8s7225×body1280valid
5.5s3443×body2560valid
2.8s57366×body80nan
2.8s56619×body80valid
2.0s4755×body640valid
564.0ms2378×body320valid
191.0ms1188×body160valid
121.0ms8356×pre80true
52.0ms34×body5120valid
20.0ms29×body2560nan
20.0msbody5120nan
8.0ms21×body1280nan
3.0ms17×body640nan
2.0msbody320nan
1.0msbody160nan

series27.8s (27.5%)

Calls

90 calls:

4.6s
(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*)))))
4.5s
(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*))))

prune6.2s (6.1%)

simplify3.2s (3.2%)

Algorithm
49×egg-herbie

regimes1.4s (1.4%)

Accuracy

Total 10.0b remaining (4.8%)

Threshold costs 0.5b (0.2%)

7.8b16.8%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

localize456.0ms (0.5%)

rewrite443.0ms (0.4%)

Algorithm
31×rewrite-expression-head
Calls

90 calls:

25.0ms
(- (/ x (- hi lo)) (/ lo (- hi lo)))
16.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
16.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
15.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
14.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
Rules
482×add-sqr-sqrt
380×add-exp-log
350×*-un-lft-identity
269×unpow-prod-down
254×add-cube-cbrt
245×sqrt-prod
201×pow1
187×prod-exp
175×add-cbrt-cube
113×associate-*r*
106×times-frac
99×add-log-exp
80×associate-*r/
71×pow-exp
62×unswap-sqr
53×flip-- flip3--
48×pow-prod-down cbrt-unprod
47×distribute-lft-out-- associate-*l*
46×swap-sqr
45×sub-neg sqr-pow
44×pow-to-exp
41×difference-of-squares
40×sqrt-pow1
39×unpow-prod-up
29×frac-sub
28×exp-prod div-exp
27×pow-unpow log-prod
26×distribute-rgt-in distribute-lft-in
25×cbrt-prod pow1/2
24×pow-pow log-pow
18×sqrt-div associate-/r*
16×associate--l+
15×rem-sqrt-square
13×*-commutative
12×associate-/l* pow-sub
10×cbrt-div associate-/r/
div-inv
rem-log-exp
cbrt-undiv pow1/3 sqrt-pow2
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

bsearch240.0ms (0.2%)

end0.0ms (0.0%)