Date:Thursday, April 30th, 2020
Commit:d2f20e12 on joint-profile
Hostname:warfa with Racket 7.5
Seed:2020121
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

series1.6m (37.1%)

Calls

448 calls:

5.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* (/ l (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.8s
(sqrt (* (* (* (* 2.0 n) U) (* (cbrt (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (cbrt (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) (cbrt (- (- 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*)))))
1.4s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* (/ l (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

sample1.4m (31.4%)

Algorithm
61×intervals
Results
15.9s31075×body1280valid
15.5s248794×body80valid
10.8s167063×body80nan
8.5s8781×body2560valid
7.4s21065×body640valid
5.1s3222×body5120valid
2.4s10362×body320valid
1.4s9205×body160valid
892.0ms2701×body1280nan
582.0ms2339×body640nan
349.0ms665×body10240exit
203.0ms1136×body320nan
108.0ms8256×pre80true
71.0ms655×body160nan

prune49.5s (18.7%)

Filtered
21043 candidates to 10390 candidates (49.4%)

simplify13.3s (5.0%)

Algorithm
178×egg-herbie

regimes9.8s (3.7%)

Accuracy

Total 46.3b remaining (21.7%)

Threshold costs 5.2b (2.5%)

8.6b40.6%Henrywood and Agarwal, Equation (3)
6.0b37.2%Toniolo and Linder, Equation (13)
5.7b7.4%Henrywood and Agarwal, Equation (12)
5.5b24.5%Toniolo and Linder, Equation (10-)
5.4b76.8%Toniolo and Linder, Equation (7)

rewrite6.3s (2.4%)

Algorithm
118×rewrite-expression-head
Calls

448 calls:

149.0ms
(sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))
85.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
83.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))))
62.0ms
(* (* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
60.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
Rules
31355×add-exp-log
21948×prod-exp
11411×pow-exp
9073×div-exp
5518×times-frac
5198×pow-to-exp
5118×add-sqr-sqrt
5073×*-un-lft-identity
3799×add-cube-cbrt
2540×add-cbrt-cube
2069×sqrt-prod
1489×unpow-prod-down
1488×associate-*r/
1451×associate-*l*
1321×1-exp rec-exp
1219×pow1
1063×associate-*r*
994×cbrt-unprod
992×flip3-- flip--
990×cbrt-div
872×frac-times
692×sqrt-div
684×cbrt-prod
646×frac-sub
590×distribute-lft-out
562×add-log-exp
447×cbrt-undiv
436×sqr-pow
409×associate-*l/
393×pow-prod-down
376×unswap-sqr
361×associate-/r*
360×associate-/l*
349×pow-unpow
288×div-inv
272×difference-of-squares
263×exp-prod
216×flip-+ flip3-+
193×distribute-rgt-neg-in
175×distribute-lft-out-- sqrt-pow1
174×associate-/r/
161×cube-prod
158×*-commutative
97×distribute-lft-neg-in
89×frac-2neg clear-num
82×distribute-rgt-in tan-quot distribute-lft-in
74×pow1/2
67×sub-neg
63×pow1/3
60×rem-sqrt-square
57×pow-pow
53×unpow2
43×associate-/l/
41×sum-log
39×div-sub
35×swap-sqr
31×+-commutative
26×associate--l+
21×neg-sub0
18×frac-add
17×exp-diff associate-+r+ diff-log
14×pow-sub
12×pow-prod-up log-pow
11×associate-+r- pow-flip neg-mul-1
10×log-prod pow-neg associate--r+
pow-sqr unsub-neg
cos-sum difference-cubes unpow3 inv-pow cube-mult
rem-cube-cbrt
cube-div
pow-plus rem-exp-log
un-div-inv pow2 cos-diff acos-asin
e-exp-1 exp-neg rem-log-exp
associate--l- sqrt-unprod distribute-frac-neg asin-acos rem-cbrt-cube log-div
associate-+l+ rem-square-sqrt exp-sum mul0 exp-to-pow

bsearch2.3s (0.9%)

localize2.2s (0.8%)

end1.0ms (0.0%)

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