Date:Tuesday, February 18th, 2020
Commit:5d186d9c on refactor-and-minor
Hostname:warfa with Racket 7.5
Seed:2020049
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 (34.3%)

Calls

441 calls:

4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.7s
(sqrt (* (* (* (* 2.0 n) U) (* (cbrt (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))) (cbrt (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))) (cbrt (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))))
1.5s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))

sample1.4m (28.3%)

Algorithm
61×intervals
Results
15.6s252801×body80valid
15.5s29179×body1280valid
9.8s161396×body80nan
8.8s8842×body2560valid
7.6s20532×body640valid
5.6s3369×body5120valid
2.3s9820×body320valid
1.3s9079×body160valid
441.0ms792×body10240exit
159.0ms658×body1280nan
129.0ms647×body640nan
112.0ms8256×pre80true
51.0ms371×body320nan
18.0ms194×body160nan

prune58.8s (20.3%)

rewrite21.2s (7.3%)

Algorithm
117×rewrite-expression-head
Calls

441 calls:

2.4s
(/ (+ (pow 1.0 3) (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)) (+ (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0)) (* 1.0 1.0)))
792.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
584.0ms
(* (cos th) (+ (/ (pow a1 2) (sqrt 2.0)) (/ a2 (/ (sqrt 2.0) a2))))
574.0ms
(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
574.0ms
(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
Rules
32700×add-exp-log
22206×prod-exp
12683×pow-exp
10460×div-exp
6255×pow-to-exp
5138×times-frac
5090×add-sqr-sqrt
4802×*-un-lft-identity
3539×add-cube-cbrt
2712×add-cbrt-cube
2071×sqrt-prod
1464×associate-*r/
1208×unpow-prod-down
1130×pow1
1123×cbrt-unprod
1036×associate-*r*
953×flip3-- flip--
922×cbrt-div
894×1-exp rec-exp
861×associate-*l*
744×frac-times
649×sqrt-div
647×frac-sub
561×add-log-exp
507×cbrt-undiv
432×associate-/r*
383×associate-/l*
377×distribute-lft-out--
366×distribute-lft-out
365×exp-prod
360×sqr-pow
346×unswap-sqr
345×pow-prod-down
333×associate-*l/
319×cbrt-prod
307×difference-of-squares
281×div-inv
274×pow-unpow
228×distribute-rgt-neg-in
190×associate-/r/
188×distribute-lft-neg-in
180×flip-+ flip3-+
149×*-commutative
148×cube-prod
140×swap-sqr
102×pow-pow
93×unpow2 sqrt-pow1
91×clear-num frac-2neg
75×distribute-rgt-in distribute-lft-in
73×tan-quot
72×rem-sqrt-square
69×pow1/2 sub-neg
51×pow1/3
49×associate-/l/
36×sum-log
34×div-sub
31×frac-add
26×neg-mul-1
25×diff-log
24×+-commutative
18×associate--l+
17×exp-diff
16×cos-sum
15×neg-sub0
14×associate-+r+
13×log-pow
11×log-prod
rem-cube-cbrt pow-sub
cos-diff unpow3 cube-mult associate--r+
cube-div un-div-inv rem-exp-log pow-sqr pow-prod-up
distribute-frac-neg sqrt-undiv asin-acos
inv-pow exp-neg pow-flip
difference-cubes pow-plus pow-neg associate-+r- pow2 unsub-neg neg-log sum-cubes
associate--r- rem-log-exp
associate-+l+ associate--l- distribute-rgt-out exp-sum rem-cbrt-cube distribute-neg-frac
sqrt-unprod rem-square-sqrt acos-asin sub-div mul0 associate-+l- exp-to-pow

simplify12.7s (4.4%)

Algorithm
177×egg-herbie

regimes11.1s (3.8%)

Accuracy

Total 45.1b remaining (20.6%)

Threshold costs 4.2b (1.9%)

11.1b-19.9%Toniolo and Linder, Equation (13)
6.7b8.2%Toniolo and Linder, Equation (10+)
6.1b75%Toniolo and Linder, Equation (7)
4.9b0%Henrywood and Agarwal, Equation (12)
3.3b0%Toniolo and Linder, Equation (10-)

localize2.4s (0.8%)

bsearch2.0s (0.7%)

end1.0ms (0.0%)