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 (44.9%)

Algorithm
62×intervals
Results
21.8s35102×body1280valid
20.3s250403×body80valid
14.7s167492×body80nan
10.4s23715×body640valid
9.0s8873×body2560valid
5.0s3285×body5120valid
3.5s11302×body320valid
2.8s4656×body1280nan
2.2s18485×body80overflowed
2.0s9831×body160valid
1.8s3999×body640nan
665.0ms2052×body320nan
424.0ms639×body5120exit
218.0ms1031×body160nan
152.0ms8256×pre80true

prune1.3min (28.7%)

Filtered
20434 candidates to 10667 candidates (47.8%)

series31.3s (11.8%)

Calls

448 calls:

2.4s
(sqrt (* 2.0 (* n (* U (+ t (- (* (* n (pow (/ l Om) (/ 2.0 2))) (* (- U* U) (pow (/ l Om) (/ 2.0 2)))) (* 2.0 (* l (/ l Om)))))))))
2.2s
(sqrt (* 2.0 (* n (* U (+ t (- (* n (* (pow (/ l Om) (/ 2.0 2)) (* (- U* U) (pow (/ l Om) (/ 2.0 2))))) (* 2.0 (* l (/ l Om)))))))))
2.2s
(sqrt (* 2.0 (* (* n U) (+ t (- (* (* n (pow (/ l Om) (/ 2.0 2))) (* (- U* U) (pow (/ l Om) (/ 2.0 2)))) (* 2.0 (* l (/ l Om))))))))
2.2s
(sqrt (* 2.0 (* n (* U (+ t (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om)))))))))
396.0ms
(* n (* U (+ t (- (* (* n (pow (/ l Om) (/ 2.0 2))) (* (- U* U) (pow (/ l Om) (/ 2.0 2)))) (* 2.0 (* l (/ l Om)))))))

regimes20.0s (7.6%)

Accuracy

Total 48.1b remaining (21.9%)

Threshold costs 5.9b (2.7%)

7.2b45.9%Henrywood and Agarwal, Equation (3)
7.2b17.3%Henrywood and Agarwal, Equation (13)
6.0b0%Henrywood and Agarwal, Equation (12)
5.5b28.1%Toniolo and Linder, Equation (13)
5.3b21.5%Toniolo and Linder, Equation (10+)

simplify9.2s (3.5%)

Algorithm
178×egg-herbie

rewrite6.7s (2.5%)

Algorithm
116×rewrite-expression-head
Calls

448 calls:

99.0ms
(* l (* 2.0 (* (* 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))) (pow (pow (pow k (/ (neg 2.0) 2)) 1.0) 1.0))))
85.0ms
(* l (* 2.0 (* (* (/ (cos k) (pow (sin k) 2)) l) (pow (* (* (pow (pow t (neg 1.0)) 1.0) (pow (pow k (/ (neg 2.0) 2)) 1.0)) (pow (pow k (/ (neg 2.0) 2)) 1.0)) 1.0))))
84.0ms
(- (* (* (- 1.0 0.5) (- 1.0 0.5)) (* (- 1.0 0.5) (- 1.0 0.5))) (* (* (/ 0.5 (hypot 1.0 x)) (/ 0.5 (hypot 1.0 x))) (* (/ 0.5 (hypot 1.0 x)) (/ 0.5 (hypot 1.0 x)))))
61.0ms
(* l (* (/ 1 (pow (* (cbrt t) (cbrt t)) (/ 3.0 2))) (* l (/ 2.0 (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (sin k) (* (tan k) (* (+ 1.0 (+ 1.0 (pow (/ k t) 2.0))) (pow (cbrt t) 3.0)))))))))
50.0ms
(* l (* (/ 2.0 (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (sin k) (* (* (tan k) (* (+ 1.0 (+ 1.0 (pow (/ k t) 2.0))) (pow (cbrt t) 3.0))) (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))))) l))
Rules
32833×add-exp-log
25910×prod-exp
12744×pow-exp
5730×div-exp
5012×pow-to-exp
4250×add-sqr-sqrt
3560×*-un-lft-identity
3558×frac-times
3464×times-frac
2970×add-cube-cbrt
2454×add-cbrt-cube
2144×associate-*r/
1803×flip-- flip3--
1779×associate-*l/
1637×sqrt-prod
1257×frac-sub
1248×pow1
1240×associate-*r*
1129×associate-*l*
1040×cbrt-unprod
1005×unpow-prod-down
538×add-log-exp
410×unswap-sqr
381×pow-prod-down
372×cbrt-undiv
370×sqrt-div
340×cbrt-prod pow-unpow
331×sqr-pow
300×1-exp rec-exp
276×associate-/l*
274×associate-/r*
228×distribute-lft-out
225×div-inv
202×associate-/r/
198×difference-of-squares
193×*-commutative
191×flip-+ flip3-+
114×sqrt-pow1
98×distribute-rgt-in distribute-lft-in
92×swap-sqr
89×log-prod
88×distribute-lft-out--
84×pow1/2
81×rem-sqrt-square
72×associate-/l/
67×exp-prod
65×clear-num frac-2neg
54×pow-pow
49×tan-quot
46×sub-neg
36×frac-add
33×sum-log
31×log-pow
30×pow1/3 cube-prod
29×div-sub
27×distribute-lft-neg-in distribute-rgt-neg-in
24×+-commutative
20×pow-sub
19×cbrt-div
16×associate--l+
14×diff-log unpow2
10×cos-sum pow-flip
rem-log-exp associate-+r+ neg-mul-1 pow-sqr un-div-inv pow-prod-up
cube-div associate-+r-
pow2 cube-mult unpow3
neg-sub0 distribute-frac-neg pow-neg
cos-diff pow-plus inv-pow
acos-asin log-div sqrt-undiv asin-acos
associate-+l+ sqrt-pow2 rem-cbrt-cube exp-diff rem-cube-cbrt rem-exp-log
associate--l- sub-div associate--r- unpow1/2 mul0-r

localize2.4s (0.9%)

bsearch366.0ms (0.1%)

end0.0ms (0.0%)

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