Date:Wednesday, June 10th, 2020
Commit:5ea8c613 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

sample3.3min (63.7%)

Algorithm
62×intervals
Results
22.5s34498×body1280valid
21.3s247970×body80valid
10.6s23560×body640valid
9.8s8743×body2560valid
9.5s105768×body80nan
5.8s3329×body5120valid
3.6s11633×body320valid
2.7s4608×body1280nan
2.2s18025×body80overflowed
2.0s9865×body160valid
1.7s4032×body640nan
641.0ms2106×body320nan
400.0ms637×body5120exit
204.0ms1021×body160nan
155.0ms8256×pre80true
sampling

Space saved by range analysis: 1.629042%

Space saved by search: 8.892665%

Guaranteed chance to sample good point: 37.46096%

prune41.6s (13.4%)

Filtered
21019 candidates to 10819 candidates (48.5%)

series27.2s (8.8%)

Calls

452 calls:

2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* 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*)))))
1.6s
(sqrt (* (* (cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))) (cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) (cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))))
472.0ms
(cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

regimes19.9s (6.4%)

Accuracy

Total 45.0b remaining (19.9%)

Threshold costs 4.7b (2.1%)

12.9b-2.9%Toniolo and Linder, Equation (13)
7.2b6.1%Toniolo and Linder, Equation (10-)
6.0b-12.3%Henrywood and Agarwal, Equation (12)
5.4b77.6%Toniolo and Linder, Equation (7)
2.5b0%Henrywood and Agarwal, Equation (13)

simplify13.9s (4.5%)

Algorithm
180×egg-herbie

rewrite6.0s (1.9%)

Algorithm
118×rewrite-expression-head
Calls

452 calls:

84.0ms
(* (* (* (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))))
61.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
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)))
50.0ms
(/ (* 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)))
50.0ms
(* (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
Rules
31879×add-exp-log
23313×prod-exp
8057×pow-exp
6566×div-exp
6153×times-frac
5549×add-sqr-sqrt
4938×*-un-lft-identity
4284×add-cube-cbrt
3799×pow-to-exp
3231×sqrt-prod
2890×add-cbrt-cube
2440×associate-*r/
1567×associate-*l*
1283×cbrt-unprod
1270×unpow-prod-down
1208×pow1
1195×cbrt-div
1091×flip-- flip3--
1088×associate-*r*
915×frac-times
911×sqrt-div
719×cbrt-prod
640×frac-sub
606×add-log-exp
510×cbrt-undiv
453×associate-/l*
417×associate-/r*
398×associate-*l/
383×pow-unpow
375×unswap-sqr
354×pow-prod-down
349×sqr-pow
331×associate-/r/
299×div-inv
245×1-exp rec-exp
198×flip-+ flip3-+
197×distribute-lft-out
189×difference-of-squares
159×distribute-lft-out--
151×*-commutative
119×cube-prod
113×sqrt-pow1
105×distribute-rgt-neg-in
102×clear-num frac-2neg
85×tan-quot
84×distribute-rgt-in distribute-lft-in
79×distribute-lft-neg-in
78×pow1/2
72×pow1/3
69×exp-prod
68×log-prod sub-neg
63×rem-sqrt-square
58×pow-pow
53×associate-/l/
52×diff-log swap-sqr
43×log-pow
41×unpow2
33×exp-sum
31×sum-log
27×pow-prod-up
26×rem-exp-log
25×+-commutative
22×associate--l+
20×div-sub cube-mult unpow3
17×pow-sqr pow-sub
16×frac-add
15×neg-sub0
14×associate-+r+ neg-log pow-neg
12×pow-plus
11×neg-mul-1
10×un-div-inv
rem-log-exp
pow2 associate--r-
exp-diff
associate--r+
pow-flip
cube-div cos-sum inv-pow distribute-frac-neg rem-cube-cbrt
acos-asin log-div distribute-rgt-out--
associate--l- cos-diff associate-+l+ associate-+r- rem-square-sqrt sqrt-unprod sub-div unsub-neg asin-acos distribute-neg-frac
sqrt-undiv exp-to-pow mul0 pow3

localize2.1s (0.7%)

bsearch1.9s (0.6%)

end1.0ms (0.0%)

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