Date:Tuesday, June 30th, 2020
Commit:8ccfdff1 on old-regraph
Hostname:debbie with Racket 7.7
Seed:2020182
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

simplify15.1hr (98.6%)

end8.5min (0.9%)

sample1.8min (0.2%)

Algorithm
60×intervals
Results
20.5s240499×body80valid
18.9s28302×body1280valid
15.6s167492×body80nan
9.0s19165×body640valid
5.0s6656×body2560valid
3.1s9318×body320valid
3.1s4656×body1280nan
2.4s18485×body80overflowed
1.9s3999×body640nan
1.9s8862×body160valid
1.7s2388×body5120valid
717.0ms2052×body320nan
488.0ms639×body5120exit
249.0ms1031×body160nan
157.0ms8256×pre80true

prune1.5min (0.2%)

Filtered
19176 candidates to 13214 candidates (31.1%)

series30.7s (0.1%)

Calls

454 calls:

2.4s
(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*))))))
2.4s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.4s
(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*)))))
2.3s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
454.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

regimes19.2s (0.0%)

Accuracy

Total 44.0b remaining (20.8%)

Threshold costs 4.4b (2.1%)

8.3b8%Toniolo and Linder, Equation (13)
7.4b44.3%Henrywood and Agarwal, Equation (3)
7.0b-9%Henrywood and Agarwal, Equation (12)
6.6b74.1%Toniolo and Linder, Equation (7)
4.0b0%Henrywood and Agarwal, Equation (13)

rewrite9.1s (0.0%)

Algorithm
118×rewrite-expression-head
Calls

454 calls:

164.0ms
(* (pow (* (* (pow (pow (/ 1 t) 1.0) 1.0) (pow (pow (/ 1 k) (/ 2.0 2)) 1.0)) (pow (pow (/ 1 k) (/ 2.0 2)) 1.0)) 1.0) (* 2.0 (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
114.0ms
(* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)))
92.0ms
(- (* (* (- 1.0 0.5) (- 1.0 0.5)) (* (- 1.0 0.5) (- 1.0 0.5))) (* (* (/ 0.5 (hypot 1.0 x)) (/ 0.5 (hypot 1.0 x))) (* (/ 0.5 (hypot 1.0 x)) (/ 0.5 (hypot 1.0 x)))))
65.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (* (cbrt d) (cbrt d)) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (* (pow (/ (* M D) (* 2.0 d)) 2.0) (* (cbrt h) (cbrt h)))) (/ (cbrt h) l))))
63.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (* (cbrt d) (cbrt d)) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
Rules
59341×add-exp-log
46394×prod-exp
45662×pow-exp
15993×div-exp
11698×pow-to-exp
5585×times-frac
5267×add-sqr-sqrt
4693×*-un-lft-identity
4032×add-cube-cbrt
3865×sqrt-prod
3667×frac-times
3317×1-exp rec-exp
2850×add-cbrt-cube
2080×associate-*r/
1867×flip-- flip3--
1848×associate-*l/
1802×associate-*l*
1397×pow1
1288×frac-sub
1201×cbrt-unprod
1146×unpow-prod-down
1083×associate-*r*
525×add-log-exp
487×cbrt-undiv
471×pow-prod-down
434×unswap-sqr
348×sqrt-div associate-/l*
331×pow-unpow
327×associate-/r*
323×div-inv
267×sqr-pow
251×cbrt-prod
223×associate-/r/
188×distribute-lft-out
177×flip-+ flip3-+
176×*-commutative
170×log-prod
165×distribute-lft-out--
154×difference-of-squares
138×distribute-rgt-in distribute-lft-in
118×sqrt-pow1
117×swap-sqr
114×exp-prod
97×associate--l+
90×pow1/2
88×tan-quot
87×clear-num sub-neg frac-2neg
75×rem-sqrt-square
64×associate-/l/
62×pow-pow
43×cube-prod
40×distribute-lft-neg-in distribute-rgt-neg-in
39×cbrt-div
32×log-pow
24×frac-add pow1/3
19×sum-log
17×+-commutative diff-log
15×div-sub
14×pow-neg
12×pow-prod-up pow-sub
11×rem-cube-cbrt
10×cos-sum pow-sqr unpow2
rem-log-exp neg-sub0 pow-flip
pow2 exp-sum log-div associate-+r+ un-div-inv
cube-mult unpow3
associate-+l+ exp-diff
cos-diff pow-plus rem-exp-log
neg-mul-1 inv-pow
acos-asin distribute-rgt-out sqrt-pow2 asin-acos associate--r+
cube-div associate--l- associate-+r- rem-cbrt-cube
unpow-prod-up rem-square-sqrt distribute-lft1-in sqrt-unprod count-2 sub-div associate--r- mul0 distribute-rgt1-in distribute-rgt-neg-out

localize2.4s (0.0%)

bsearch822.0ms (0.0%)

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