Date:Saturday, February 29th, 2020
Commit:c75aaa3c on more-ival-tests
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 (37.9%)

Calls

432 calls:

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) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.5s
(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 (31.6%)

Algorithm
61×intervals
Results
15.5s248652×body80valid
15.5s30808×body1280valid
10.8s168473×body80nan
8.6s8861×body2560valid
7.4s21453×body640valid
5.4s3434×body5120valid
2.4s10224×body320valid
1.3s9239×body160valid
891.0ms2673×body1280nan
586.0ms2303×body640nan
362.0ms748×body10240exit
208.0ms1193×body320nan
113.0ms8256×pre80true
62.0ms588×body160nan

prune47.1s (17.9%)

simplify12.5s (4.7%)

Algorithm
173×egg-herbie

regimes10.1s (3.8%)

Accuracy

Total 49.6b remaining (23.3%)

Threshold costs 4.1b (1.9%)

10.0b27.1%Toniolo and Linder, Equation (13)
8.0b9.3%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)

rewrite6.2s (2.3%)

Algorithm
113×rewrite-expression-head
Calls

432 calls:

99.0ms
(- (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (* 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
96.0ms
(* (pow (/ 1 (pow k (/ 2.0 2))) 1.0) (* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
64.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (/ (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (* (cbrt l) (cbrt l))) (/ h (cbrt l)))))
47.0ms
(* (/ (sqrt (+ (pow a2 2) (pow a1 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (/ 1 (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (cbrt (cbrt (sqrt 2.0))))))
46.0ms
(* (/ (sqrt (+ (pow a2 2) (pow a1 2))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (+ (pow a2 2) (pow a1 2))) (cbrt (sqrt 2.0))))
Rules
47393×add-exp-log
34602×prod-exp
24390×pow-exp
17497×div-exp
11753×pow-to-exp
3847×1-exp
3612×rec-exp
3353×add-sqr-sqrt
3314×*-un-lft-identity
2571×times-frac
2564×add-cbrt-cube
2310×add-cube-cbrt
1232×sqrt-prod
1094×cbrt-unprod
1078×pow1
1015×associate-*l*
1007×associate-*r*
852×unpow-prod-down
658×associate-*r/
632×cbrt-prod
521×add-log-exp
482×cbrt-undiv
450×distribute-lft-out
358×unswap-sqr
320×pow-prod-down
303×associate-/l*
274×associate-*l/
269×associate-/r*
251×sqrt-div
229×sqr-pow
220×frac-times
204×div-inv
194×div-sub
187×pow-unpow
170×flip-+ flip3-+
162×flip3-- flip--
160×exp-diff
148×*-commutative
135×distribute-rgt-neg-in
132×distribute-lft-out--
127×associate-/r/
119×difference-of-squares
106×distribute-rgt-in distribute-lft-in
97×frac-sub
95×sqrt-pow1
87×clear-num frac-2neg
79×sub-neg tan-quot
74×exp-prod
69×distribute-lft-neg-in
67×rem-sqrt-square
66×pow1/2 neg-sub0
64×pow1/3
62×pow-pow
59×associate-+r- unsub-neg
56×cbrt-div
51×unpow2
42×associate--l+
38×sum-log
31×+-commutative
26×associate-/l/
24×log-prod
22×frac-add
18×sub-div pow-sub
16×associate-+r+
14×swap-sqr exp-sum
12×pow-flip
10×cube-prod
log-pow neg-mul-1
inv-pow
diff-log
cos-sum distribute-neg-frac
pow-sqr pow-prod-up rem-log-exp
pow-neg distribute-neg-in associate-+l+ acos-asin
cube-div pow-plus un-div-inv rem-exp-log pow2 cos-diff unpow3 cube-mult neg-log
rem-cube-cbrt distribute-frac-neg asin-acos associate-+l- associate--r+
distribute-rgt-out-- associate--r- mul0 sum-cubes

bsearch2.3s (0.9%)

localize2.3s (0.9%)

end2.0ms (0.0%)