Date:Friday, July 17th, 2020
Commit:5d628957 on release-1.4
Hostname:warfa with Racket 7.5
Seed:2020199
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 (40.8%)

Algorithm
62×intervals
Results
20.1s30799×body1280valid
14.9s176216×body80valid
9.4s20277×body640valid
6.2s7509×body2560valid
4.7s51145×body80nan
3.9s791×body5120invalid
3.5s1371×body2560invalid
3.1s9673×body320valid
2.9s4682×body1280nan
2.6s23760×body80invalid
2.1s2581×body5120valid
1.9s3588×body1280invalid
1.8s8881×body160valid
1.7s3824×body640nan
1.2s3155×body640invalid
633.0ms1951×body320nan
448.0ms1709×body320invalid
384.0ms612×body5120exit
347.0ms2354×body80overflowed
154.0ms818×body160invalid
144.0ms8256×pre80true
128.0ms654×body160nan

prune34.4s (15.3%)

Filtered
20457 candidates to 10244 candidates (49.9%)

analyze34.1s (15.2%)

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

series25.9s (11.5%)

Calls

445 calls:

2.2s
(sqrt (* 2.0 (* n (* U (+ t (- (* n (* (pow (* (cbrt (/ l Om)) (cbrt (/ l Om))) 2.0) (* (- U* U) (pow (cbrt (/ l Om)) 2.0)))) (* 2.0 (* l (/ l Om)))))))))
2.0s
(sqrt (* 2.0 (* (* n U) (+ t (- (* (* n (pow (/ l Om) 2.0)) (- U* U)) (* 2.0 (* l (/ l Om))))))))
2.0s
(sqrt (* 2.0 (* n (* U (+ t (- (* (* n (pow (/ l Om) 2.0)) (- U* U)) (* 2.0 (* l (/ l Om)))))))))
2.0s
(sqrt (* 2.0 (* n (* U (+ t (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om)))))))))
342.0ms
(* n (* U (+ t (- (* (* n (pow (/ l Om) 2.0)) (- U* U)) (* 2.0 (* l (/ l Om)))))))

regimes19.5s (8.7%)

Accuracy

Total 34.9b remaining (17.2%)

Threshold costs 4.5b (2.2%)

5.6b0%Maksimov and Kolovsky, Equation (3)
5.5b77.3%Toniolo and Linder, Equation (7)
4.1b51.3%Toniolo and Linder, Equation (13)
3.7b19.1%Henrywood and Agarwal, Equation (12)
3.6b0%Henrywood and Agarwal, Equation (13)

simplify11.0s (4.9%)

Algorithm
179×egg-herbie

rewrite5.6s (2.5%)

Algorithm
117×rewrite-expression-head
Calls

445 calls:

87.0ms
(* l (* 2.0 (* (pow (pow (pow k (/ (neg 2.0) 2)) 1.0) 1.0) (* l (* (/ (cos k) (pow (sin k) 2)) (pow (* (pow (pow k (/ (neg 2.0) 2)) 1.0) (pow (pow t (neg 1.0)) 1.0)) 1.0))))))
75.0ms
(* l (* 2.0 (* (pow (* (pow (pow k (/ (neg 2.0) 2)) 1.0) (* (pow (pow t (neg 1.0)) 1.0) (pow (pow k (/ (neg 2.0) 2)) 1.0))) 1.0) (* (/ (cos k) (pow (sin k) 2)) l))))
68.0ms
(* (cos th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
59.0ms
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
58.0ms
(* (* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
Rules
30653×add-exp-log
23487×prod-exp
13637×pow-exp
6342×div-exp
5888×times-frac
5483×pow-to-exp
4994×add-sqr-sqrt
4861×*-un-lft-identity
4082×add-cube-cbrt
3202×add-cbrt-cube
2612×sqrt-prod
1490×cbrt-unprod
1357×pow1
1302×associate-*r*
1087×unpow-prod-down
1010×associate-*l*
815×associate-*r/
636×cbrt-undiv
559×add-log-exp
502×pow-prod-down
480×cbrt-prod
476×associate-*l/
457×associate-/l*
419×sqr-pow
416×frac-times
398×associate-/r*
366×distribute-lft-out
308×pow-unpow
291×unswap-sqr
283×div-inv
250×sqrt-div
221×flip-+ flip3-+
172×flip-- flip3--
168×*-commutative
153×distribute-rgt-in distribute-lft-in
149×exp-prod
146×associate-/r/
143×cube-prod
124×difference-of-squares
109×log-prod
104×tan-quot
95×distribute-lft-out--
87×clear-num frac-2neg
80×pow-pow
70×frac-add
66×sub-neg
62×sqrt-pow1
52×associate-/l/
50×cbrt-div
47×rem-sqrt-square pow1/2
45×sum-log
43×cube-mult unpow3
35×pow1/3
34×+-commutative
32×div-sub
23×cube-div
20×associate-+r-
19×rem-log-exp swap-sqr
18×distribute-lft-neg-in associate-+l+ distribute-rgt-neg-in
17×sinh-def
14×sinh-undef pow-sub
13×associate-+r+ cosh-undef
12×cosh-def 1-exp rec-exp
11×diff-log associate--r+
10×log-div unpow2 rem-cube-cbrt
log-pow exp-diff
cos-diff rem-exp-log
cos-sum distribute-frac-neg pow-neg
neg-mul-1
exp-sum neg-sub0 pow-flip
acos-asin sqrt-undiv inv-pow asin-acos
pow-sqr un-div-inv pow-prod-up rem-cbrt-cube
pow2 unpow-prod-up pow-plus associate--l+ pow-div
mul0-rgt

localize2.2s (1.0%)

bsearch387.0ms (0.2%)

end1.0ms (0.0%)

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