Date:Tuesday, February 18th, 2020
Commit:3b7244d2 on master
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

series1.6m (34.1%)

Calls

444 calls:

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*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.6s
(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*))))))
1.3s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

sample1.4m (28.9%)

Algorithm
61×intervals
Results
15.8s29179×body1280valid
15.6s252801×body80valid
9.9s161396×body80nan
8.9s8842×body2560valid
7.5s20532×body640valid
5.6s3369×body5120valid
2.4s9820×body320valid
1.3s9079×body160valid
650.0ms792×body10240exit
161.0ms658×body1280nan
131.0ms647×body640nan
105.0ms8256×pre80true
56.0ms371×body320nan
19.0ms194×body160nan

prune56.8s (20.2%)

rewrite20.0s (7.1%)

Algorithm
117×rewrite-expression-head
Calls

444 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)))
782.0ms
(* (* (* (* (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))
577.0ms
(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
577.0ms
(- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))
548.0ms
(- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0)
Rules
32767×add-exp-log
22250×prod-exp
12680×pow-exp
10470×div-exp
6937×times-frac
6252×pow-to-exp
6032×add-sqr-sqrt
5617×*-un-lft-identity
4498×add-cube-cbrt
4041×sqrt-prod
2731×add-cbrt-cube
1478×associate-*l*
1456×associate-*r/
1153×pow1
1129×cbrt-unprod
1091×unpow-prod-down
971×associate-*r*
944×flip3-- flip--
931×cbrt-div
906×1-exp
903×rec-exp
742×frac-times
645×frac-sub
639×sqrt-div
566×add-log-exp
507×cbrt-undiv
441×cbrt-prod
428×associate-/r*
412×associate-/l*
381×unswap-sqr
372×distribute-lft-out--
365×exp-prod
356×pow-prod-down
337×associate-*l/
331×sqr-pow
316×div-inv
300×distribute-lft-out
274×pow-unpow
245×difference-of-squares
229×distribute-rgt-neg-in
188×distribute-lft-neg-in
177×associate-/r/
172×flip-+ flip3-+
163×swap-sqr
148×*-commutative cube-prod
102×pow-pow
91×clear-num frac-2neg sqrt-pow1
74×tan-quot
72×distribute-rgt-in rem-sqrt-square distribute-lft-in unpow2
68×pow1/3
67×pow1/2 sub-neg
45×associate-/l/
39×sum-log
32×div-sub
31×frac-add
26×neg-mul-1
24×+-commutative
23×diff-log
18×neg-sub0 associate--l+
17×exp-diff
16×cos-sum
14×associate-+r+
13×log-pow
11×pow-sqr pow-prod-up log-prod
rem-cube-cbrt pow-sub
cos-diff pow-flip unpow3 cube-mult asin-acos associate--r+
cube-div un-div-inv rem-exp-log neg-log
pow-plus inv-pow pow2 distribute-frac-neg
sqrt-undiv exp-neg distribute-neg-frac
difference-cubes pow-neg associate-+r- unsub-neg associate--r- sum-cubes associate-+l-
rem-log-exp
associate-+l+ associate--l- exp-sum rem-cbrt-cube
sqrt-unprod rem-square-sqrt acos-asin mul0 exp-to-pow

simplify12.8s (4.5%)

Algorithm
177×egg-herbie

regimes10.5s (3.7%)

Accuracy

Total 46.0b remaining (21.3%)

Threshold costs 4.0b (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-)

localize2.3s (0.8%)

bsearch1.8s (0.6%)

end0.0ms (0.0%)