Date:Friday, March 6th, 2020
Commit:4fbe8b6b on better-rr
Hostname:warfa with Racket 7.5
Seed:2020066
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:better-rrreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

series1.7m (55.5%)

Calls

95 calls:

30.2s
(sqrt (* (cbrt (* (cbrt (* 2.0 n)) U)) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
30.1s
(sqrt (* (cbrt (* (cbrt (* 2.0 n)) U)) (- (- t (* 2.0 (/ (* l 1) (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
29.0s
(sqrt (* (* (cbrt (* 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*)))))
2.0s
(* (* (cbrt (* 2.0 n)) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

sample1.1m (35.3%)

Algorithm
21×intervals
Results
36.4s37791×body10240exit
7.0s7380×body1280valid
5.5s3482×body2560valid
3.1s56462×body80valid
2.5s50212×body80nan
2.0s4620×body640valid
1.6s3047×body1280nan
727.0ms2609×body640nan
590.0ms2340×body320valid
230.0ms1316×body320nan
226.0ms1293×body160valid
111.0ms8356×pre80true
73.0ms634×body160nan
29.0ms24×body5120valid
16.0ms19×body2560nan
13.0msbody5120nan

prune8.9s (4.8%)

Filtered
2432 candidates to 1672 candidates (68.8%)

simplify3.9s (2.1%)

Algorithm
49×egg-herbie

regimes2.3s (1.3%)

Accuracy

Total 8.2b remaining (3.9%)

Threshold costs 0.8b (0.4%)

6.2b-3%Toniolo and Linder, Equation (13)
1.2b0%Random Jason Timeout Test 006
0.2b0%Random Jason Timeout Test 002
0.2b0%Random Jason Timeout Test 014
0.2b0%Random Jason Timeout Test 012

rewrite1.1s (0.6%)

Algorithm
31×rewrite-expression-head
Calls

95 calls:

136.0ms
(sqrt (* (cbrt (* (cbrt (* 2.0 n)) U)) (- (- t (* 2.0 (/ (* l 1) (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
94.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
91.0ms
(sqrt (* (* (cbrt (* 2.0 n)) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
85.0ms
(* (* (cbrt (* 2.0 n)) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
85.0ms
(sqrt (* (cbrt (* (cbrt (* 2.0 n)) U)) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
Rules
933×add-sqr-sqrt
610×*-un-lft-identity
500×associate-*l*
421×add-cube-cbrt
356×associate-*r*
272×sqrt-prod
263×unswap-sqr
245×add-exp-log
242×cbrt-prod
241×unpow-prod-down
232×times-frac
192×pow1
158×add-cbrt-cube
108×distribute-lft-out--
100×add-log-exp
89×exp-prod
76×prod-exp
72×log-pow
64×associate-*r/
61×sqr-pow
52×difference-of-squares
50×associate-/l*
46×*-commutative pow-unpow
45×log-prod
44×pow-prod-down
36×swap-sqr pow-exp
34×flip-- flip3--
30×cbrt-unprod
28×pow-to-exp
25×rem-sqrt-square
24×sqrt-div frac-sub
20×sub-neg
19×unpow-prod-up
17×sqrt-pow1
16×cube-prod
15×rem-log-exp
14×associate-/r*
13×div-exp
12×distribute-rgt-in distribute-lft-in
10×pow-pow sqrt-pow2 pow1/3 div-inv pow1/2
exp-sum
rem-exp-log associate--l+
cbrt-undiv
sin-sum sinh-def
unpow3 cube-mult pow-sub acos-asin clear-num frac-2neg
cosh-def
associate-/l/ exp-diff associate-*l/ associate-/r/ rem-cbrt-cube e-exp-1 log-div
div-sub

localize432.0ms (0.2%)

bsearch199.0ms (0.1%)

end0.0ms (0.0%)