Date:Tuesday, June 9th, 2020
Commit:8ccfdff1 on master
Hostname:warfa with Racket 7.5
Seed:2020161
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

sample1.9min (52.9%)

Algorithm
62×intervals
Results
21.3s34887×body1280valid
20.1s249201×body80valid
14.1s167067×body80nan
9.8s23207×body640valid
9.8s9033×body2560valid
5.6s3370×body5120valid
3.5s11251×body320valid
2.7s4698×body1280nan
2.1s17665×body80overflowed
1.9s9881×body160valid
1.6s3711×body640nan
629.0ms2058×body320nan
397.0ms595×body5120exit
214.0ms1083×body160nan
137.0ms8256×pre80true

prune34.5s (15.9%)

Filtered
18563 candidates to 10007 candidates (46.1%)

series27.7s (12.7%)

Calls

447 calls:

1.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) 2.0)) (* (cbrt (- U U*)) (cbrt (- U U*)))) (cbrt (- 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*)))))
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*)))))

regimes18.3s (8.4%)

Accuracy

Total 43.0b remaining (19.1%)

Threshold costs 5.2b (2.3%)

9.6b26.1%Toniolo and Linder, Equation (10-)
9.1b9.1%Toniolo and Linder, Equation (13)
6.6b71.6%Toniolo and Linder, Equation (7)
4.1b17.8%Henrywood and Agarwal, Equation (12)
2.2b0%Henrywood and Agarwal, Equation (13)

simplify13.0s (6.0%)

Algorithm
179×egg-herbie

rewrite5.0s (2.3%)

Algorithm
117×rewrite-expression-head
Calls

447 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 2.0) (pow (* (/ M 2.0) (/ D d)) 2.0)) (/ h l))))
46.0ms
(* (/ 1 (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))) (/ (sin ky) (sqrt (sqrt (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
43.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
42.0ms
(* (/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
38.0ms
(* (/ 2.0 (* (pow (/ k t) (/ 2.0 2)) (* (pow (/ k t) (/ 2.0 2)) (* (pow t 3.0) (tan k))))) (/ l (/ (sin k) l)))
Rules
24165×add-exp-log
15526×prod-exp
6156×div-exp
5482×times-frac
5435×pow-exp
4926×*-un-lft-identity
4872×add-sqr-sqrt
3777×add-cube-cbrt
2866×add-cbrt-cube
2078×pow-to-exp
1441×sqrt-prod
1208×pow1
1184×associate-*l*
1176×cbrt-unprod
1164×unpow-prod-down
1060×associate-*r*
739×associate-*r/
571×add-log-exp
519×cbrt-undiv
468×distribute-lft-out
447×sqrt-div
415×associate-/r*
411×cbrt-prod
403×associate-/l*
387×flip-- flip3--
385×pow-prod-down
355×unswap-sqr
347×1-exp frac-times
341×rec-exp
328×sqr-pow
326×div-inv
301×associate-*l/
281×pow-unpow
261×cbrt-div
200×distribute-lft-out--
171×associate-/r/
165×*-commutative
164×distribute-rgt-neg-in
161×flip-+ flip3-+
159×frac-sub
129×difference-of-squares
100×sqrt-pow1
97×distribute-lft-neg-in
90×clear-num frac-2neg
74×pow1/2
71×distribute-rgt-in distribute-lft-in
70×tan-quot
68×sub-neg
67×exp-prod
63×pow1/3
56×cube-prod
55×swap-sqr
49×associate-/l/
43×rem-sqrt-square
42×pow-pow
41×log-prod unpow2
38×sum-log
31×associate--l+
30×diff-log
29×div-sub
25×+-commutative
22×frac-add
19×pow-prod-up
15×pow-sqr
14×neg-sub0
13×neg-mul-1
12×log-pow
11×associate-+r+
10×cos-sum cube-mult unpow3 rem-cube-cbrt
pow-sub
associate--r+
rem-log-exp pow2 associate-+r- pow-plus unsub-neg un-div-inv pow-flip distribute-neg-frac exp-diff
cos-diff sqrt-unprod asin-acos
inv-pow neg-log pow-neg
rem-square-sqrt associate--r- distribute-frac-neg
cube-div associate--l- acos-asin log-div sqrt-undiv rem-cbrt-cube rem-exp-log
exp-sum e-exp-1 associate-+l+ exp-to-pow sub-div mul0

localize2.2s (1.0%)

bsearch1.6s (0.7%)

end0.0ms (0.0%)

Profiling

Loading profile data...