Date:Friday, May 1st, 2020
Commit:b6776165 on joint-profile
Hostname:warfa with Racket 7.5
Seed:2020122
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

sample1.3m (65.3%)

Algorithm
21×intervals
Results
46.0s38931×body5120exit
7.5s7425×body1280valid
5.9s3335×body2560valid
3.9s56678×body80valid
3.5s50347×body80nan
2.2s4655×body640valid
2.1s3028×body1280nan
1.1s2606×body640nan
663.0ms2339×body320valid
353.0ms1334×body320nan
234.0ms1206×body160valid
153.0ms8356×pre80true
119.0ms666×body160nan
27.0ms15×body5120valid
15.0ms24×body2560nan
7.0msbody5120nan

series29.4s (24.4%)

Calls

97 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*)))))
4.7s
(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*)))))
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)) (- U U*))))

prune5.5s (4.6%)

Filtered
1935 candidates to 1263 candidates (65.3%)

simplify3.4s (2.8%)

Algorithm
49×egg-herbie

regimes2.4s (2.0%)

Accuracy

Total 12.6b remaining (5.8%)

Threshold costs 1.3b (0.6%)

9.1b31.6%Toniolo and Linder, Equation (13)
2.2b0%Random Jason Timeout Test 004
0.8b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 003

rewrite461.0ms (0.4%)

Algorithm
31×rewrite-expression-head
Calls

97 calls:

16.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
14.0ms
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
13.0ms
(/ (- x lo) (- hi lo))
13.0ms
(* (* (* 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*))))
12.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
Rules
411×add-sqr-sqrt
319×add-exp-log
290×*-un-lft-identity
244×add-cube-cbrt
236×pow1
181×add-cbrt-cube
166×cbrt-prod
149×associate-*r*
139×prod-exp
113×add-log-exp
102×associate-*r/
93×unpow-prod-down
86×sqrt-prod
64×pow-prod-down
59×times-frac associate-*l*
53×cbrt-unprod
52×unswap-sqr
49×flip-- flip3--
40×pow1/3
38×pow-exp
36×distribute-rgt-in distribute-lft-in
35×sub-neg
34×swap-sqr
32×frac-sub
29×sqrt-pow1
26×log-pow
24×difference-of-squares sqrt-div
23×pow-to-exp distribute-lft-out--
21×exp-prod
20×pow-unpow associate--l+
19×*-commutative
18×div-exp sqr-pow
16×sinh-def pow1/2
14×cbrt-div
10×rem-sqrt-square
log-prod
pow-pow cube-prod unpow-prod-up pow-prod-up pow-sqr associate-/r*
associate-/l* sum-log
div-inv
pow-plus pow2 pow-sub
diff-log cbrt-undiv rem-log-exp
associate-/l/ cube-mult +-commutative associate-*l/ sqrt-pow2 unpow3 flip-+ acos-asin associate-+r+ flip3-+ asin-acos frac-times associate-/r/ clear-num frac-2neg
div-sub associate--r- pow3 rem-cbrt-cube cosh-def

localize429.0ms (0.4%)

bsearch125.0ms (0.1%)

end0.0ms (0.0%)

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