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

sample2.0min (34.8%)

Algorithm
62×intervals
Results
22.1s35102×body1280valid
20.5s250403×body80valid
14.6s167492×body80nan
10.6s23715×body640valid
9.2s8873×body2560valid
5.0s3285×body5120valid
3.8s11302×body320valid
2.8s4656×body1280nan
2.3s18485×body80overflowed
2.0s9831×body160valid
1.8s3999×body640nan
675.0ms2052×body320nan
442.0ms639×body5120exit
229.0ms1031×body160nan
152.0ms8256×pre80true

simplify1.9min (32.8%)

prune52.3s (15.1%)

Filtered
19654 candidates to 11601 candidates (41.0%)

series29.2s (8.4%)

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)) (- 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 l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
415.0ms
(* (* (* 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*)))))

regimes20.6s (5.9%)

Accuracy

Total 45.4b remaining (19.3%)

Threshold costs 4.8b (2.1%)

7.6b39%Toniolo and Linder, Equation (10-)
7.4b44.3%Henrywood and Agarwal, Equation (3)
7.2b17.2%Toniolo and Linder, Equation (13)
5.4b3.7%Henrywood and Agarwal, Equation (12)
5.4b78.2%Toniolo and Linder, Equation (7)

rewrite6.6s (1.9%)

Algorithm
120×rewrite-expression-head
Calls

462 calls:

170.0ms
(* (/ (/ 2.0 (* (/ (pow t 3.0) l) (pow (sin k) 2))) (pow (cbrt (/ k t)) 2.0)) (/ l (pow (cbrt (/ k t)) 2.0)))
167.0ms
(* (/ (/ 2.0 (* (/ (pow t 3.0) l) (pow (sin k) 2))) (pow (cbrt (/ k t)) 2.0)) (/ l (pow (cbrt (/ k t)) 2.0)))
138.0ms
(* (/ (/ (/ 4.0 (* 3.0 PI)) (- (pow 1.0 3) (pow v 6))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ (* 1.0 1.0) (+ (* (* v v) (* v v)) (* 1.0 (* v v)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))
94.0ms
(* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)))
62.0ms
(* (* (* (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
15626×add-exp-log
9978×prod-exp
8984×times-frac
7127×add-sqr-sqrt
5917×*-un-lft-identity
5124×add-cube-cbrt
4726×sqrt-prod
4159×div-exp
4134×pow-exp
2744×add-cbrt-cube
2723×associate-*l*
2035×pow-to-exp
1757×unpow-prod-down
1453×pow1
1093×cbrt-unprod
1018×associate-*r*
826×cbrt-prod
700×difference-of-squares
554×sqr-pow
546×associate-*r/ add-log-exp
526×div-inv
493×cbrt-undiv
474×pow-prod-down
442×associate-*l/
418×associate-/l*
400×sqrt-div
391×unswap-sqr
370×associate-/r/
347×associate-/r*
328×1-exp rec-exp
308×pow-unpow
297×frac-times
239×flip-- flip3--
232×distribute-lft-out
215×flip-+ flip3-+
191×distribute-lft-out--
169×*-commutative
165×cube-prod
117×sqrt-pow1
114×exp-prod
109×tan-quot
102×log-prod
95×distribute-rgt-in distribute-lft-in
89×pow1/2
88×clear-num frac-2neg
79×swap-sqr
74×rem-sqrt-square cbrt-div
73×sub-neg
63×associate-/l/
59×pow-pow
45×pow-prod-up
43×frac-sub
42×frac-add
40×distribute-lft-neg-in distribute-rgt-neg-in
38×pow1/3
29×pow-sqr
28×sum-log
24×div-sub
22×+-commutative
20×pow-plus associate--l+ log-pow
18×pow2
17×unpow2
14×diff-log pow-neg
12×pow-sub
10×cos-sum associate-+r+
rem-log-exp neg-sub0
exp-sum un-div-inv
log-div rem-cube-cbrt
exp-diff
cos-diff cube-mult unpow3 rem-exp-log
neg-mul-1 pow-flip
acos-asin sqrt-pow2 asin-acos
cube-div associate-+r- inv-pow sub-div rem-cbrt-cube
rem-square-sqrt sqrt-unprod associate--r- mul0 distribute-rgt-neg-out

localize2.3s (0.7%)

bsearch1.5s (0.4%)

end0.0ms (0.0%)

Profiling

Loading profile data...