Date:Saturday, July 18th, 2020
Commit:61547132 on release-1.4
Hostname:warfa with Racket 7.5
Seed:2020200
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

sample1.5min (39.8%)

Algorithm
62×intervals
Results
20.4s30989×body1280valid
14.9s175663×body80valid
9.4s20435×body640valid
6.5s7528×body2560valid
4.7s49955×body80nan
3.6s781×body5120invalid
3.4s1351×body2560invalid
3.1s9774×body320valid
2.6s24026×body80invalid
2.6s4506×body1280nan
2.0s2506×body5120valid
1.9s3660×body1280invalid
1.8s9041×body160valid
1.7s3945×body640nan
1.1s3159×body640invalid
657.0ms2116×body320nan
484.0ms1696×body320invalid
354.0ms2499×body80overflowed
350.0ms566×body5120exit
177.0ms941×body160invalid
148.0ms8256×pre80true
130.0ms705×body160nan

prune37.6s (16.3%)

Filtered
20938 candidates to 10327 candidates (50.7%)

analyze33.7s (14.7%)

Algorithm
31×search
Search
TrueOtherFalseIter
0%98.2%1.8%0
3.2%95%1.8%1
5.6%91%3.4%2
8%84.5%7.4%3
9.8%80.7%9.5%4
13.5%76.9%9.7%5
16%72.8%11.2%6
18.1%68.2%13.7%7
21.2%62.6%16.2%8
24.7%57%18.2%9
26.4%53.6%20%10
28.9%49.8%21.3%11
30.2%47.2%22.5%12
31.9%42.5%25.7%13
32.9%40.8%26.3%14

series27.5s (11.9%)

Calls

449 calls:

2.1s
(sqrt (* 2.0 (* n (* U (+ t (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om)))))))))
1.9s
(sqrt (* 2.0 (* (* (cbrt n) (cbrt n)) (* (* (cbrt U) (cbrt U)) (* (cbrt n) (* (+ t (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om))))) (cbrt U)))))))
1.9s
(sqrt (* 2.0 (* n (* U (+ t (- (* (* n (pow (/ l Om) 2.0)) (- U* U)) (* 2.0 (* l (/ l Om)))))))))
1.7s
(sqrt (* 2.0 (* (* (cbrt n) (cbrt n)) (* U (* (+ t (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om))))) (cbrt n))))))
454.0ms
(* U (* (+ t (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om))))) (cbrt n)))

regimes18.7s (8.1%)

Accuracy

Total 38.3b remaining (18.7%)

Threshold costs 5.5b (2.7%)

10.6b-17.9%Henrywood and Agarwal, Equation (13)
5.1b77.7%Toniolo and Linder, Equation (7)
3.9b0%Henrywood and Agarwal, Equation (12)
3.9b50.4%Toniolo and Linder, Equation (13)
3.8b0%Toniolo and Linder, Equation (10+)

simplify11.6s (5.0%)

Algorithm
179×egg-herbie

rewrite6.1s (2.6%)

Algorithm
117×rewrite-expression-head
Calls

449 calls:

154.0ms
(* l (* 2.0 (* (pow (pow (pow k (/ (neg 2.0) 2)) 1.0) 1.0) (* l (* (* (pow (pow (pow t (neg 1.0)) 1.0) 1.0) (/ (cos k) (pow (sin k) 2))) (pow (pow (pow k (/ (neg 2.0) 2)) 1.0) 1.0))))))
81.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt (* (cbrt t) (cbrt t))) 3.0) (* (cbrt l) (cbrt l))) (* (sin k) (/ (pow (cbrt (cbrt t)) 3.0) (cbrt l))))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
73.0ms
(* a (/ (/ (pow k m) (sqrt (+ 1.0 (* k (+ k 10.0))))) (sqrt (+ 1.0 (* k (+ k 10.0))))))
64.0ms
(* (pow (pow (pow k (/ (neg 2.0) 2)) 1.0) 1.0) (* l (* (* (pow (pow (pow t (neg 1.0)) 1.0) 1.0) (/ (cos k) (pow (sin k) 2))) (pow (pow (pow k (/ (neg 2.0) 2)) 1.0) 1.0))))
58.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt (* (cbrt t) (cbrt t))) 3.0) (* (cbrt l) (cbrt l))) (* (sin k) (/ (pow (cbrt (cbrt t)) 3.0) (cbrt l))))) (tan k))
Rules
34616×add-exp-log
27606×prod-exp
16221×pow-exp
7117×pow-to-exp
7025×div-exp
5268×times-frac
5093×add-sqr-sqrt
4142×*-un-lft-identity
3629×add-cube-cbrt
2944×add-cbrt-cube
2102×sqrt-prod
1487×pow1
1463×associate-*r*
1442×cbrt-unprod
1425×unpow-prod-down
976×associate-*l*
951×cbrt-prod
865×associate-*r/
558×pow-prod-down
543×add-log-exp sqr-pow
513×cbrt-undiv
406×unswap-sqr
402×sqrt-div
371×associate-/l*
327×frac-times
311×associate-/r/
310×associate-/r*
300×pow-unpow
299×associate-*l/
282×div-inv
266×difference-of-squares
226×flip-- flip3--
189×flip-+ flip3-+
177×distribute-lft-out
168×*-commutative
149×sqrt-pow1
112×distribute-lft-out--
106×cube-prod
94×tan-quot
93×pow1/2
86×distribute-rgt-in distribute-lft-in swap-sqr
82×sub-neg
72×clear-num frac-2neg
71×rem-sqrt-square
70×pow1/3
52×associate-/l/
46×pow-pow
41×log-prod
40×exp-prod
38×log-pow
36×distribute-lft-neg-in distribute-rgt-neg-in
34×sum-log
32×cbrt-div
28×+-commutative
27×div-sub pow-prod-up
26×unpow2
24×associate-+r+
22×frac-sub
19×log-div pow-sqr
18×frac-add diff-log
16×cube-div pow-sub
14×1-exp rec-exp
13×rem-log-exp
12×sinh-def neg-mul-1
11×associate--l+ exp-diff
10×rem-cube-cbrt
neg-sub0 cos-diff cos-sum sinh-undef distribute-frac-neg pow-neg
pow2 associate-+r- pow-plus cosh-undef
cube-mult unpow3
pow-flip associate--r+
associate--l- acos-asin associate-+l+ rem-square-sqrt sqrt-unprod inv-pow
exp-sum difference-cubes unpow-prod-up associate--r- asin-acos un-div-inv rem-cbrt-cube rem-exp-log
mul0-rgt

localize2.4s (1.1%)

bsearch832.0ms (0.4%)

end1.0ms (0.0%)

Profiling

Loading profile data...