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

simplify2.1min (36.2%)

sample2.0min (34.2%)

Algorithm
62×intervals
Results
21.9s35102×body1280valid
21.0s250403×body80valid
14.7s167492×body80nan
10.5s23715×body640valid
9.1s8873×body2560valid
5.1s3285×body5120valid
3.6s11302×body320valid
2.8s4656×body1280nan
2.2s18485×body80overflowed
2.0s9831×body160valid
1.8s3999×body640nan
682.0ms2052×body320nan
435.0ms639×body5120exit
221.0ms1031×body160nan
144.0ms8256×pre80true

prune44.2s (12.6%)

Filtered
18126 candidates to 11232 candidates (38.0%)

series29.2s (8.3%)

Calls

462 calls:

2.2s
(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*)))))
2.2s
(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*))))))
2.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.2s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
630.0ms
(* (* (* 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*)))))

regimes20.8s (5.9%)

Accuracy

Total 47.7b remaining (20.6%)

Threshold costs 5.7b (2.5%)

7.5b39.2%Toniolo and Linder, Equation (10-)
7.4b44.3%Henrywood and Agarwal, Equation (3)
7.3b16.9%Toniolo and Linder, Equation (13)
6.6b2.4%Henrywood and Agarwal, Equation (12)
5.0b79.5%Toniolo and Linder, Equation (7)

rewrite6.2s (1.8%)

Algorithm
120×rewrite-expression-head
Calls

462 calls:

387.0ms
(* (/ (/ 2.0 (* (/ (pow t 3.0) l) (pow (sin k) 2))) (pow (cbrt (/ k t)) 2.0)) (/ l (pow (cbrt (/ k t)) 2.0)))
172.0ms
(* (/ (/ 2.0 (* (/ (pow t 3.0) l) (pow (sin k) 2))) (pow (cbrt (/ k t)) 2.0)) (/ l (pow (cbrt (/ k t)) 2.0)))
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 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 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))))
54.0ms
(* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* a2 a2))
Rules
15327×add-exp-log
9843×prod-exp
6129×times-frac
5326×add-sqr-sqrt
4840×*-un-lft-identity
4127×pow-exp
4079×add-cube-cbrt
4062×div-exp
2930×sqrt-prod
2515×add-cbrt-cube
2029×pow-to-exp
1458×unpow-prod-down
1445×associate-*l*
1444×pow1
998×cbrt-unprod
971×associate-*r*
910×cbrt-prod
547×add-log-exp
533×associate-*r/
487×pow-prod-down
415×cbrt-undiv
402×associate-*l/
393×div-inv
384×associate-/l*
372×sqrt-div unswap-sqr
335×associate-/r*
323×1-exp rec-exp
319×pow-unpow
308×associate-/r/
273×sqr-pow
256×frac-times
235×distribute-lft-out
222×flip-- flip3--
221×distribute-lft-out--
201×flip-+ flip3-+
174×difference-of-squares
162×*-commutative
145×exp-prod
120×log-prod
118×sqrt-pow1
105×tan-quot
104×distribute-rgt-in distribute-lft-in
90×pow1/2
89×log-pow
88×clear-num frac-2neg
80×sub-neg
78×swap-sqr
74×rem-sqrt-square cbrt-div
62×pow-pow
59×associate-/l/
46×cube-prod
42×frac-add frac-sub
40×distribute-lft-neg-in distribute-rgt-neg-in pow1/3 associate--l+
33×log-div
28×sum-log
24×exp-sum div-sub cube-mult unpow3
23×exp-diff
22×+-commutative
19×diff-log
17×unpow2
16×cube-div
14×pow-neg
12×pow-sub
10×rem-log-exp cos-sum associate-+r+
neg-sub0 associate--r- pow-prod-up rem-exp-log
un-div-inv
pow-sqr
rem-cube-cbrt
pow2 cos-diff
neg-mul-1 pow-flip
acos-asin distribute-rgt-out sqrt-pow2 asin-acos associate--r+
associate-+r- pow-plus inv-pow
associate--l- unpow-prod-up rem-square-sqrt distribute-lft1-in sqrt-unprod count-2 sub-div mul0 distribute-rgt1-in distribute-rgt-neg-out rem-cbrt-cube

localize2.3s (0.6%)

bsearch1.5s (0.4%)

end0.0ms (0.0%)

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