Date:Wednesday, June 17th, 2020
Commit:fb53a5c5 on ival-find-range
Hostname:warfa with Racket 7.5
Seed:2020169
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

analyze2.8min (49.2%)

Algorithm
56×search
sampling

Space saved by range analysis: 1.951124%

Space saved by search: 27.255544%

Guaranteed chance to sample good point: 54.107605%

sample1.1min (19.1%)

Algorithm
56×intervals
Results
14.6s23200×body1280valid
12.3s146817×body80valid
6.3s14446×body640valid
5.0s6583×body2560valid
3.2s32516×body80nan
2.4s3915×body1280nan
2.2s18375×body80invalid
2.1s6955×body320valid
1.5s7551×body160valid
1.5s3293×body640nan
1.4s2384×body5120valid
1.2s2847×body1280invalid
744.0ms2425×body640invalid
562.0ms1709×body320nan
358.0ms562×body5120exit
347.0ms2586×body80overflowed
293.0ms1262×body320invalid
174.0ms107×body2560invalid
150.0ms8256×pre80true
139.0ms40×body5120invalid
99.0ms483×body160nan
98.0ms644×body160invalid

prune41.3s (12.2%)

Filtered
19193 candidates to 10457 candidates (45.5%)

series26.2s (7.8%)

Calls

463 calls:

2.1s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
2.1s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (* (cbrt (/ l Om)) (cbrt (/ l Om))) 2.0)) (pow (cbrt (/ 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 (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
390.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

regimes18.5s (5.5%)

Accuracy

Total 22.6b remaining (15.3%)

Threshold costs 4.2b (2.9%)

6.6b47.6%Henrywood and Agarwal, Equation (3)
4.9b0%Henrywood and Agarwal, Equation (12)
2.8b0%Henrywood and Agarwal, Equation (13)
1.7b0%Henrywood and Agarwal, Equation (9a)
1.2b0%Toniolo and Linder, Equation (3b), real

simplify13.2s (3.9%)

Algorithm
178×egg-herbie

rewrite5.2s (1.6%)

Algorithm
122×rewrite-expression-head
Calls

463 calls:

85.0ms
(* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))))
81.0ms
(* (* (* (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))))
60.0ms
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
51.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))
50.0ms
(* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))
Rules
24889×add-exp-log
15970×prod-exp
6932×div-exp
5555×pow-exp
5232×times-frac
4864×add-sqr-sqrt
4720×*-un-lft-identity
3814×add-cube-cbrt
3511×sqrt-prod
2894×add-cbrt-cube
2549×pow-to-exp
1861×associate-*l*
1489×pow1
1343×cbrt-unprod
1318×associate-*r/
890×unpow-prod-down
866×associate-*r*
715×frac-times
573×add-log-exp
568×pow-prod-down
504×cbrt-undiv
494×associate-*l/
476×cbrt-prod
466×1-exp rec-exp
398×flip-- flip3--
388×sqrt-div
352×associate-/l*
344×pow-unpow
332×unswap-sqr
328×frac-add
310×flip-+ flip3-+
303×associate-/r*
279×distribute-lft-out
277×div-inv
274×sqr-pow
262×distribute-lft-out--
225×exp-prod
162×*-commutative
142×distribute-rgt-neg-in
140×difference-of-squares
123×sqrt-pow1
115×distribute-rgt-in distribute-lft-in
114×associate-/r/
111×tan-quot
102×distribute-lft-neg-in
84×cbrt-div
82×clear-num frac-2neg
81×pow1/3
66×pow1/2 cube-prod
65×sub-neg
64×pow-pow
60×log-prod
50×rem-sqrt-square
42×unpow2
40×associate-/l/
39×frac-sub
36×div-sub
33×sum-log
30×exp-diff
29×pow-flip
28×cube-div
24×+-commutative
23×diff-log pow-prod-up
22×associate--l+
19×log-div cube-mult unpow3
18×neg-sub0
17×log-pow
16×swap-sqr
15×associate-+r+
13×pow-sqr pow-sub rem-cube-cbrt
12×neg-mul-1
10×pow-neg
exp-sum pow-plus
cos-sum rem-exp-log
pow2 associate-+r- unsub-neg neg-log
rem-log-exp cos-diff distribute-neg-in inv-pow associate--r+
acos-asin asin-acos rem-cbrt-cube
associate--l- associate--r- distribute-frac-neg distribute-neg-frac
distribute-lft-neg-out exp-neg difference-cubes associate-+l+ sqrt-undiv rem-square-sqrt sqrt-unprod mul0 pow3 un-div-inv exp-lft-sqr

localize2.5s (0.7%)

bsearch13.0ms (0.0%)

end1.0ms (0.0%)

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