Date:Friday, June 12th, 2020
Commit:9c248b13 on ival-find-range
Hostname:warfa with Racket 7.5
Seed:2020164
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

sample4.8min (71.5%)

Algorithm
62×intervals
Results
20.4s30885×body1280valid
14.9s175958×body80valid
9.3s20286×body640valid
6.3s7420×body2560valid
4.4s45862×body80nan
3.5s704×body5120invalid
3.4s1321×body2560invalid
3.2s9785×body320valid
2.2s20058×body80invalid
2.2s2633×body5120valid
2.1s3620×body1280nan
1.9s3666×body1280invalid
1.8s8969×body160valid
1.4s3179×body640nan
1.1s3113×body640invalid
508.0ms1611×body320nan
465.0ms1752×body320invalid
391.0ms610×body5120exit
177.0ms917×body160invalid
154.0ms8256×pre80true
93.0ms475×body160nan
sampling

Space saved by range analysis: 1.629042%

Space saved by search: 28.057459%

Guaranteed chance to sample good point: 53.55444%

prune41.3s (10.2%)

Filtered
19405 candidates to 10296 candidates (46.9%)

series30.7s (7.6%)

Calls

460 calls:

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

regimes20.9s (5.2%)

Accuracy

Total 43.7b remaining (18.6%)

Threshold costs 6.7b (2.9%)

7.0b31.9%Toniolo and Linder, Equation (10-)
6.7b48.2%Henrywood and Agarwal, Equation (3)
6.2b31.7%Toniolo and Linder, Equation (13)
5.5b77.1%Toniolo and Linder, Equation (7)
4.2b6.3%Toniolo and Linder, Equation (10+)

simplify13.7s (3.4%)

Algorithm
182×egg-herbie

rewrite5.3s (1.3%)

Algorithm
120×rewrite-expression-head
Calls

460 calls:

73.0ms
(* (* (* (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))))
72.0ms
(* (* (* (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))))
67.0ms
(* (cos th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
51.0ms
(sqrt (* (* (* (* 2.0 n) U) (* (cbrt (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (cbrt (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) (cbrt (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
43.0ms
(/ 2.0 (* (* (* (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
27458×add-exp-log
17993×prod-exp
7292×div-exp
6507×pow-exp
4942×times-frac
4633×add-sqr-sqrt
4336×*-un-lft-identity
3681×add-cube-cbrt
2988×add-cbrt-cube
2916×pow-to-exp
2131×sqrt-prod
1962×associate-*r/
1291×cbrt-unprod
1209×pow1
1143×cbrt-div
1140×flip-- flip3--
1110×unpow-prod-down
1083×associate-*r*
1076×frac-times
968×sqrt-div
940×associate-*l*
712×cbrt-prod
642×frac-sub
578×add-log-exp
538×cbrt-undiv
496×associate-*l/
424×associate-/r*
382×pow-prod-down
381×associate-/l*
322×sqr-pow
314×unswap-sqr
312×distribute-lft-out
300×pow-unpow
283×div-inv
259×associate-/r/
231×1-exp rec-exp
174×flip-+ flip3-+
149×*-commutative
133×cube-prod
129×exp-prod
126×difference-of-squares
109×tan-quot
104×sqrt-pow1
101×clear-num frac-2neg
94×distribute-rgt-neg-in
89×distribute-rgt-in distribute-lft-in
78×div-sub
74×sub-neg
71×distribute-lft-out--
70×rem-sqrt-square
69×pow1/2
62×pow-sub
59×pow1/3
52×log-prod
49×frac-add log-pow
44×unpow2
43×pow-pow
40×associate-/l/
39×distribute-lft-neg-in
32×sum-log associate--l+
29×diff-log
26×+-commutative swap-sqr
20×log-div cube-mult unpow3
16×neg-sub0 associate--r+
14×pow-neg
13×cube-div
11×un-div-inv exp-diff
cos-sum associate-+r+ rem-cube-cbrt
exp-sum
rem-log-exp pow-sqr pow-prod-up pow-flip
associate-+r- unsub-neg rem-cbrt-cube rem-exp-log
cos-diff inv-pow neg-log asin-acos
pow2 acos-asin neg-mul-1 pow-plus associate--r-
associate--l- exp-to-pow sum-cubes sin-mult
associate-+l+ mul0 cos-mult

localize2.3s (0.6%)

bsearch803.0ms (0.2%)

end1.0ms (0.0%)

Profiling

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