Date:Thursday, April 30th, 2020
Commit:8dd810b8 on joint-profile
Hostname:warfa with Racket 7.5
Seed:2020121
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

sample1.1m (63.9%)

Algorithm
21×intervals
Results
37.2s38733×body10240exit
7.0s7440×body1280valid
5.3s3410×body2560valid
3.1s56621×body80valid
2.4s50588×body80nan
2.1s4705×body640valid
1.6s3059×body1280nan
738.0ms2664×body640nan
565.0ms2228×body320valid
222.0ms1306×body320nan
201.0ms1126×body160valid
117.0ms8356×pre80true
82.0ms693×body160nan
64.0ms33×body5120valid
28.0ms42×body2560nan
21.0ms10×body5120nan

series24.4s (23.9%)

Calls

86 calls:

4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* (/ l (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.8s
(sqrt (* (* (* 2.0 n) U) (fma (* (cbrt (- t (* 2.0 (* l (/ l Om))))) (cbrt (- t (* 2.0 (* l (/ l Om)))))) (cbrt (- t (* 2.0 (* l (/ l Om))))) (- (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
1.3s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* (/ l (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

prune6.7s (6.5%)

Filtered
2005 candidates to 1350 candidates (67.3%)

simplify3.1s (3.0%)

Algorithm
45×egg-herbie

regimes2.0s (2.0%)

Accuracy

Total 8.4b remaining (3.8%)

Threshold costs 0.4b (0.2%)

6.0b37%Toniolo and Linder, Equation (13)
2.0b0%Random Jason Timeout Test 006
0.3b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 003

localize391.0ms (0.4%)

rewrite390.0ms (0.4%)

Algorithm
27×rewrite-expression-head
Calls

86 calls:

18.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* (/ l (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
16.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- 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
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
13.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
393×add-sqr-sqrt
347×*-un-lft-identity
303×add-cube-cbrt
210×pow1
162×add-exp-log
143×unpow-prod-down
133×cbrt-prod
131×add-cbrt-cube
120×prod-diff
99×add-log-exp
88×times-frac
87×log1p-expm1-u
86×expm1-log1p-u
79×pow-unpow
71×exp-prod
70×sqrt-prod
68×associate-*r/
66×associate-*r*
52×distribute-rgt-in cube-prod distribute-lft-in
45×flip-- flip3--
44×associate--r+ pow-prod-down unpow-prod-up
40×associate--l+ sqrt-pow1
32×frac-sub prod-exp
25×sqr-pow pow-pow log-pow
24×pow1/2 sub-neg
23×cbrt-unprod
22×difference-of-squares distribute-lft-out--
19×pow-exp
18×sqrt-div associate-*l* log-prod
16×pow-to-exp unswap-sqr
14×rem-sqrt-square
13×pow1/3
11×unpow3 cube-mult
associate-/r*
*-commutative div-inv
associate-/l* swap-sqr cbrt-div div-exp fma-neg diff-log pow-sub
rem-cube-cbrt rem-log-exp
sqrt-pow2
cbrt-undiv expm1-udef div-sub rem-exp-log exp-sum
associate-/l/ pow-sqr acos-asin associate--l- associate-/r/ rem-cbrt-cube pow-prod-up clear-num frac-2neg sin-diff
expm1-log1p pow-plus exp-to-pow pow2

bsearch5.0ms (0.0%)

end0.0ms (0.0%)

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