Date:Friday, December 13th, 2019
Commit:92b838e9 on show-bad-nightlies
Hostname:warfa with Racket 7.5
Seed:2019347
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:numericsrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
+o rules:numerics

Details

simplify6.3m (46.8%)

series2.4m (18.2%)

Calls

439 calls:

3.4s
(/ (sqrt (- (* 1.0 1.0) (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.5))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))
2.9s
(sqrt (* (- t (fma 2.0 (* l (/ l Om)) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U)))
2.8s
(sqrt (* (- t (fma 2.0 (* l (/ l Om)) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))) (* (* 2.0 n) U)))
2.8s
(sqrt (* (- t (fma 2.0 (* l (/ l Om)) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))) (* (* 2.0 n) U)))
2.6s
(sqrt (* (- t (fma 2.0 (/ (* l l) Om) (* (* n (pow (/ l Om) 2.0)) (- U U*)))) (* (* 2.0 n) U)))

sample2.1m (15.6%)

Algorithm
61×intervals
Results
24.2s29857×body1280valid
22.1s253197×body80valid
14.7s160448×body80nan
12.6s8805×body2560valid
11.4s20093×body640valid
7.9s3366×body5120valid
3.6s9776×body320valid
1.9s9001×body160valid
623.0ms639×body10240exit
235.0ms628×body1280nan
183.0ms625×body640nan
124.0ms8256×pre80true
75.0ms330×body320nan
27.0ms181×body160nan

prune1.7m (12.4%)

rewrite35.9s (4.4%)

Algorithm
116×rewrite-expression-head
Calls

439 calls:

1.5s
(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))))) (sqrt (+ (exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))) 1.0)))
1.1s
(/ NdChar (+ (exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))) 1.0))
1.0s
(/ (/ 2.0 (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))
1.0s
(/ (/ 2.0 (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))) (fma 2 1.0 (pow (/ k t) 2.0)))
868.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
Rules
57897×add-exp-log
39845×prod-exp
23547×pow-exp
20104×div-exp
12381×times-frac
10999×pow-to-exp
8802×sqrt-prod
8064×add-sqr-sqrt
7957×*-un-lft-identity
7004×add-cube-cbrt
2980×add-cbrt-cube
2397×1-exp
2395×rec-exp
1359×sqrt-div
1347×cbrt-unprod
1325×pow1
1274×frac-times
1271×cbrt-prod
993×associate-*r/
940×associate-*r*
834×associate-*l*
808×associate-*l/
762×unpow-prod-down
760×cbrt-undiv
723×associate-/l*
658×flip-- flip3--
494×div-inv
492×add-log-exp
472×pow-prod-down
453×associate-/r*
440×expm1-log1p-u
439×log1p-expm1-u prod-diff
387×associate-/r/
324×distribute-lft-out
292×pow-unpow
290×unswap-sqr
224×distribute-lft-out--
193×sqr-pow
178×tan-quot
176×exp-prod
151×*-commutative
150×cbrt-div
148×difference-of-squares
127×distribute-rgt-in distribute-lft-in
125×swap-sqr
121×sqrt-pow1
104×clear-num frac-2neg
97×flip-+ flip3-+
67×fma-neg
63×pow1/3
58×pow1/2
50×associate-/l/
44×sub-neg
43×rem-sqrt-square
42×pow-pow
40×distribute-lft-neg-in
39×distribute-rgt-neg-in
37×unpow2
30×fma-udef
26×pow-prod-up
25×cos-sum
23×fma-def
20×pow-sqr div-sub
18×frac-add
15×pow-sub diff-log
12×hypot-def
10×neg-sub0 sum-log pow-neg
+-commutative
pow-flip sqrt-undiv
inv-pow pow2 pow-plus
hypot-udef acos-asin
asin-acos
rem-exp-log sqrt-unprod associate-+r- frac-sub rem-square-sqrt neg-mul-1
un-div-inv
exp-diff log1p-udef log1p-expm1 cos-diff expm1-log1p unsub-neg expm1-udef cube-mult distribute-rgt-out sub-div neg-log mul0 associate--l+

regimes14.5s (1.8%)

Accuracy

Total 37.2b remaining (18.5%)

Threshold costs 4.2b (2.1%)

8.4b17.8%Toniolo and Linder, Equation (13)
5.7b75.6%Toniolo and Linder, Equation (7)
5.2b0%Henrywood and Agarwal, Equation (12)
4.0b12.9%Toniolo and Linder, Equation (10+)
3.9b55.3%Toniolo and Linder, Equation (10-)

localize3.6s (0.4%)

bsearch2.2s (0.3%)

end0.0ms (0.0%)