Date:Friday, May 29th, 2020
Commit:4c7d9bce on master
Hostname:warfa with Racket 7.5
Seed:2020150
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample1.8m (49.1%)

Algorithm
61×intervals
Results
20.1s248970×body80valid
19.2s31342×body1280valid
14.1s167959×body80nan
10.0s8876×body2560valid
8.8s21169×body640valid
6.0s3349×body5120valid
2.9s10174×body320valid
1.7s9088×body160valid
860.0ms1696×body1280nan
571.0ms2794×body80overflowed
558.0ms1518×body640nan
384.0ms596×body5120exit
199.0ms793×body320nan
142.0ms8256×pre80true
68.0ms410×body160nan

prune42.2s (19.5%)

Filtered
10432 candidates to 18703 candidates (-79.3%)

series27.5s (12.7%)

Calls

441 calls:

2.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.9s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
1.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
412.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)

regimes20.1s (9.3%)

Accuracy

Total 54.9b remaining (23.9%)

Threshold costs 3.8b (1.7%)

11.9b7.3%Toniolo and Linder, Equation (13)
6.6b55.7%Henrywood and Agarwal, Equation (3)
6.6b-10.9%Given's Rotation SVD example
5.9b42.1%Toniolo and Linder, Equation (10-)
5.7b75.8%Toniolo and Linder, Equation (7)

simplify11.4s (5.3%)

Algorithm
176×egg-herbie

rewrite5.4s (2.5%)

Algorithm
116×rewrite-expression-head
Calls

441 calls:

71.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))))
68.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
61.0ms
(* (* (* (/ (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))
59.0ms
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
58.0ms
(* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))
Rules
23884×add-exp-log
15356×prod-exp
6634×times-frac
6245×div-exp
5891×pow-exp
5094×add-sqr-sqrt
4857×*-un-lft-identity
4109×add-cube-cbrt
2903×add-cbrt-cube
2421×pow-to-exp
2420×sqrt-prod
1625×associate-*l*
1593×unpow-prod-down
1240×pow1
1222×cbrt-unprod
1115×associate-*r/
990×sqrt-div
863×associate-*r*
843×cbrt-prod
583×sqr-pow
540×cbrt-undiv
525×add-log-exp
497×associate-/r*
443×frac-times
422×flip-- flip3--
382×pow-prod-down
375×associate-/r/
358×associate-*l/
336×associate-/l*
301×div-inv
287×unswap-sqr
227×distribute-lft-out
219×pow-unpow
211×distribute-lft-out--
206×flip-+ flip3-+
166×sqrt-pow1
153×*-commutative
146×difference-of-squares
137×distribute-rgt-neg-in
134×exp-prod
111×distribute-lft-neg-in
105×distribute-rgt-in distribute-lft-in
99×pow1/2
89×clear-num frac-2neg
85×swap-sqr
83×sub-neg
79×cbrt-div
77×pow1/3
67×tan-quot
64×rem-sqrt-square
56×frac-sub
46×cube-prod
42×pow-pow
39×pow-prod-up
32×associate-/l/
28×associate--l+
26×frac-add sum-log
22×+-commutative
21×pow-sqr
20×log-prod
19×log-pow
18×div-sub unpow2
17×pow-plus diff-log
15×neg-mul-1
13×1-exp rec-exp
12×cos-sum
10×pow2 neg-sub0
associate-+r+
distribute-rgt-out-- rem-cube-cbrt
cube-div exp-sum cos-diff sub-div cube-mult exp-diff pow-sub unpow3
acos-asin log-div distribute-frac-neg pow-neg distribute-neg-frac
rem-log-exp un-div-inv rem-exp-log
exp-neg associate-+l+ associate-+r- rem-square-sqrt sqrt-pow2 sqrt-unprod inv-pow unsub-neg neg-log pow3 asin-acos pow-flip associate--r+
associate--l- associate--r- mul0 rem-cbrt-cube

localize2.1s (1.0%)

bsearch1.4s (0.7%)

end0.0ms (0.0%)

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