Date:Wednesday, June 10th, 2020
Commit:fef9ff97 on ival-find-range
Hostname:warfa with Racket 7.5
Seed:2020162
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

sample5.5min (75.5%)

Algorithm
62×intervals
Results
20.2s30802×body1280valid
15.3s175710×body80valid
9.3s20538×body640valid
6.3s7460×body2560valid
5.3s54993×body80nan
3.9s776×body5120invalid
3.6s37812×body80invalid
3.3s1371×body2560invalid
3.1s9966×body320valid
2.8s4745×body1280nan
2.0s2551×body5120valid
2.0s18287×body80overflowed
1.9s3710×body1280invalid
1.8s8909×body160valid
1.7s4066×body640nan
1.1s3059×body640invalid
646.0ms2097×body320nan
473.0ms1745×body320invalid
410.0ms630×body5120exit
210.0ms1035×body160nan
166.0ms878×body160invalid
153.0ms8256×pre80true
sampling

Space saved by range analysis: 1.629042%

Space saved by search: 22.058478%

Guaranteed chance to sample good point: 51.119724%

prune35.8s (8.1%)

Filtered
20354 candidates to 9896 candidates (51.4%)

series29.2s (6.6%)

Calls

446 calls:

2.1s
(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*)))))
2.1s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

regimes20.1s (4.6%)

Accuracy

Total 48.5b remaining (20.8%)

Threshold costs 5.1b (2.2%)

8.3b44.3%Henrywood and Agarwal, Equation (3)
7.6b4.1%Toniolo and Linder, Equation (10-)
6.7b36%Toniolo and Linder, Equation (13)
5.8b76.1%Toniolo and Linder, Equation (7)
3.7b32%Henrywood and Agarwal, Equation (12)

simplify12.8s (2.9%)

Algorithm
179×egg-herbie

rewrite5.7s (1.3%)

Algorithm
117×rewrite-expression-head
Calls

446 calls:

83.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ 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))))
81.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ 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))))
53.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow (* (cbrt t) (cbrt t)) 3.0) (* (pow (cbrt t) 3.0) (tan k))))) (sin k)))
53.0ms
(* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))
51.0ms
(/ (* 2.0 (* l l)) (* (* (pow (/ k t) (/ 2.0 2)) (* (* (pow (/ k t) (/ 2.0 2)) (pow (* (cbrt t) (cbrt t)) 3.0)) (* (pow (cbrt t) 3.0) (tan k)))) (sin k)))
Rules
37627×add-exp-log
27861×prod-exp
10488×pow-exp
7876×div-exp
4924×times-frac
4682×add-sqr-sqrt
4567×*-un-lft-identity
4539×pow-to-exp
3624×add-cube-cbrt
2920×sqrt-prod
2567×add-cbrt-cube
1267×associate-*l*
1196×pow1
1099×unpow-prod-down
1097×cbrt-unprod
753×associate-*r*
553×associate-*r/
539×add-log-exp
499×1-exp rec-exp
491×cbrt-prod
433×associate-/l*
405×cbrt-undiv
379×pow-prod-down
360×associate-/r*
330×pow-unpow
308×distribute-lft-out
299×sqr-pow
298×sqrt-div
296×unswap-sqr
270×div-inv
235×distribute-lft-out--
221×flip-+ flip3-+
212×associate-*l/
203×difference-of-squares
198×associate-/r/
193×frac-times
192×flip-- flip3--
153×distribute-rgt-neg-in
150×*-commutative
144×cube-prod
123×distribute-lft-neg-in
95×sqrt-pow1
94×clear-num frac-2neg
85×tan-quot
79×distribute-rgt-in distribute-lft-in
70×log-prod
69×pow1/2 exp-prod
68×rem-sqrt-square frac-sub pow-pow
62×sub-neg
61×pow1/3
60×associate-/l/
54×cbrt-div
50×unpow2
37×sum-log
35×div-sub
31×+-commutative
28×associate--l+
23×swap-sqr exp-diff
22×frac-add
20×log-div
18×pow-sub
16×cube-div
15×neg-sub0 neg-mul-1 cube-mult unpow3
14×pow-neg
13×log-pow
11×associate-+r+ pow-prod-up
10×diff-log
exp-sum pow-sqr un-div-inv
rem-log-exp cos-sum rem-cube-cbrt
distribute-neg-frac
acos-asin rem-cbrt-cube pow-flip
pow2 associate-+r- pow-plus
cos-diff inv-pow unsub-neg distribute-frac-neg distribute-rgt-out-- rem-exp-log
associate-+l+ sub-div asin-acos associate--r+
sqrt-undiv rem-square-sqrt sqrt-pow2 sqrt-unprod mul0 sum-cubes

localize2.2s (0.5%)

bsearch2.0s (0.4%)

end0.0ms (0.0%)

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