Date:Thursday, June 11th, 2020
Commit:ff1367c2 on ival-find-range
Hostname:warfa with Racket 7.5
Seed:2020163
Parameters:256 points for 4 iterations
Flags:
setup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample11.8min (88.0%)

Algorithm
62×intervals
Results
20.1s30905×body1280valid
14.7s175839×body80valid
9.3s20442×body640valid
6.8s7526×body2560valid
4.5s46146×body80nan
3.7s795×body5120invalid
3.3s1345×body2560invalid
3.0s9670×body320valid
2.3s20161×body80invalid
2.2s2552×body5120valid
2.2s3597×body1280nan
1.9s3622×body1280invalid
1.8s9002×body160valid
1.3s3077×body640nan
1.1s3165×body640invalid
508.0ms1649×body320nan
462.0ms1724×body320invalid
447.0ms635×body5120exit
168.0ms922×body160invalid
151.0ms8256×pre80true
82.0ms440×body160nan
0.0msbody80overflowed
sampling

Space saved by range analysis: 1.629042%

Space saved by search: 28.057459%

Guaranteed chance to sample good point: 53.55444%

prune31.9s (4.0%)

Filtered
17047 candidates to 9393 candidates (44.9%)

series25.1s (3.1%)

Calls

443 calls:

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 (/ 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*)))))
1.9s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))))
357.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

regimes18.7s (2.3%)

Accuracy

Total 35.3b remaining (16.2%)

Threshold costs 4.7b (2.2%)

7.9b36.1%Toniolo and Linder, Equation (13)
5.4b45.9%Toniolo and Linder, Equation (10-)
5.3b77.7%Toniolo and Linder, Equation (7)
3.4b0%Henrywood and Agarwal, Equation (12)
2.7b14.2%Toniolo and Linder, Equation (10+)

simplify12.8s (1.6%)

Algorithm
179×egg-herbie

rewrite4.7s (0.6%)

Algorithm
117×rewrite-expression-head
Calls

443 calls:

195.0ms
(* 5.0 (* v v))
69.0ms
(* (* (* (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)) (/ (* (cbrt h) (cbrt h)) (* (cbrt l) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
41.0ms
(* (/ 1 (pow (/ k t) (/ 2.0 2))) (* (/ 2.0 (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k)))) (/ (* l l) (sin k))))
37.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
33.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))
Rules
21521×add-exp-log
13615×prod-exp
5835×div-exp
4635×pow-exp
3833×add-sqr-sqrt
3820×*-un-lft-identity
3482×times-frac
2993×add-cube-cbrt
2778×add-cbrt-cube
2140×pow-to-exp
1612×sqrt-prod
1210×cbrt-unprod
1201×pow1
1080×associate-*l*
995×associate-*r/
935×unpow-prod-down
760×associate-*r*
551×sqrt-div
504×add-log-exp
493×cbrt-undiv
447×cbrt-prod
385×pow-prod-down
371×associate-/l*
366×frac-times
320×associate-/r*
319×flip-- flip3--
300×associate-*l/
299×distribute-lft-out
288×cbrt-div
279×exp-prod
274×pow-unpow
273×unswap-sqr
259×div-inv
235×1-exp rec-exp
234×associate-/r/
226×sqr-pow
209×distribute-lft-out--
179×sqrt-pow1
153×*-commutative
140×flip-+ flip3-+
129×distribute-rgt-neg-in
123×log-pow
122×difference-of-squares
96×distribute-rgt-in distribute-lft-in
94×clear-num frac-2neg
93×tan-quot
91×log-prod
75×distribute-lft-neg-in
72×pow1/3
71×pow-pow
69×pow1/2
67×cube-prod
66×sub-neg
51×rem-sqrt-square
44×associate-/l/
41×swap-sqr
39×frac-sub
32×div-sub
30×associate--l+
26×unpow2
20×frac-add
18×sum-log
16×+-commutative
15×exp-sum pow-prod-up
14×associate-+r+
13×rem-log-exp
12×neg-sub0 exp-diff
11×diff-log cube-mult pow-sqr unpow3
10×pow-sub rem-cube-cbrt
neg-mul-1
rem-exp-log
acos-asin log-div cos-sum pow-neg
unpow-prod-up associate-+r- unsub-neg
cube-div pow2 pow-plus
cos-diff inv-pow rem-cbrt-cube pow-flip
distribute-frac-neg asin-acos distribute-neg-frac
exp-neg e-exp-1 sqrt-undiv rem-square-sqrt exp-to-pow sqrt-unprod unpow1/3 mul0 un-div-inv

localize2.2s (0.3%)

bsearch1.5s (0.2%)

end0.0ms (0.0%)

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