Date:Saturday, February 29th, 2020
Commit:d0c22b93 on refactor-and-minor
Hostname:warfa with Racket 7.5
Seed:2020060
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

series1.7m (36.4%)

Calls

439 calls:

5.0s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.8s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*)))))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.4s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

sample1.4m (29.3%)

Algorithm
61×intervals
Results
15.8s29267×body1280valid
15.6s252878×body80valid
10.1s162042×body80nan
8.8s8861×body2560valid
7.4s20556×body640valid
5.6s3434×body5120valid
2.5s9875×body320valid
1.3s9091×body160valid
553.0ms748×body10240exit
146.0ms607×body1280nan
120.0ms637×body640nan
112.0ms8256×pre80true
52.0ms365×body320nan
19.0ms186×body160nan

prune49.4s (17.5%)

Filtered
19488 candidates to 9219 candidates (47.3%)

rewrite19.8s (7.0%)

Algorithm
114×rewrite-expression-head
Calls

439 calls:

3.2s
(* (cos (- (/ (* K (+ m n)) 2.0) M)) (exp (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))))
1.3s
(- (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (* 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
991.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
589.0ms
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
463.0ms
(* NaChar (/ 1 (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
Rules
31201×add-exp-log
21134×prod-exp
12082×pow-exp
10172×div-exp
6107×pow-to-exp
4289×times-frac
4281×*-un-lft-identity
4128×add-sqr-sqrt
3163×add-cube-cbrt
2392×add-cbrt-cube
1987×sqrt-prod
1099×pow1
1013×unpow-prod-down
1003×associate-*r*
1002×cbrt-unprod
837×1-exp
744×associate-*l*
670×cbrt-prod
668×associate-*r/
605×rec-exp
532×add-log-exp
503×distribute-lft-out
449×cbrt-undiv
433×associate-/r*
366×associate-/l*
325×pow-prod-down
323×unswap-sqr
299×sqrt-div
276×associate-*l/
273×pow-unpow
269×sqr-pow
251×frac-times
244×div-inv
188×div-sub
183×flip3-- flip--
176×flip-+ flip3-+
160×exp-diff
140×distribute-lft-out-- *-commutative
135×distribute-rgt-neg-in
125×difference-of-squares
120×associate-/r/
118×cbrt-div
110×distribute-rgt-in distribute-lft-in
99×frac-sub
94×sqrt-pow1
90×clear-num frac-2neg
84×sub-neg
74×tan-quot pow-pow
71×pow1/3 exp-prod
69×pow1/2 rem-sqrt-square distribute-lft-neg-in
64×neg-sub0
59×associate-+r- unsub-neg
51×unpow2
42×associate--l+
38×associate-/l/
37×sum-log
30×+-commutative
20×frac-add
19×sub-div
18×swap-sqr
16×associate-+r+
15×log-prod
10×diff-log log-pow cube-prod
pow-sub neg-mul-1 exp-sum
pow-sqr pow-prod-up cos-sum
inv-pow associate-+l+ pow-flip
pow-neg distribute-neg-in acos-asin distribute-neg-frac
cube-div pow-plus un-div-inv pow2 cos-diff unpow3 cube-mult rem-log-exp
rem-cube-cbrt rem-exp-log distribute-frac-neg asin-acos associate--r+
sqrt-undiv distribute-rgt-out-- neg-log associate--r- mul0 sum-cubes exp-to-pow

simplify11.9s (4.2%)

Algorithm
174×egg-herbie

regimes11.2s (4.0%)

Accuracy

Total 50.0b remaining (22.3%)

Threshold costs 4.2b (1.9%)

10.0b27.1%Toniolo and Linder, Equation (13)
8.0b9.2%Toniolo and Linder, Equation (10+)
7.9b28%Henrywood and Agarwal, Equation (3)
6.5b72.6%Toniolo and Linder, Equation (7)
3.9b18.1%Henrywood and Agarwal, Equation (12)

localize2.5s (0.9%)

bsearch1.8s (0.6%)

end1.0ms (0.0%)