Date:Tuesday, June 16th, 2020
Commit:4389a0c9 on ival-find-range
Hostname:warfa with Racket 7.5
Seed:2020168
Parameters:256 points for 4 iterations
Flags:
setup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample4.8min (72.5%)

Algorithm
62×intervals
Results
20.4s30873×body1280valid
14.8s175642×body80valid
9.5s20649×body640valid
6.4s7444×body2560valid
5.1s46150×body80nan
3.7s728×body5120invalid
3.5s1417×body2560invalid
3.2s9864×body320valid
2.7s4623×body1280nan
2.3s21481×body80invalid
2.1s2585×body5120valid
2.0s3819×body1280invalid
1.8s8879×body160valid
1.7s3980×body640nan
1.2s3250×body640invalid
662.0ms2058×body320nan
459.0ms1729×body320invalid
379.0ms593×body5120exit
351.0ms2473×body80overflowed
179.0ms919×body160invalid
147.0ms8256×pre80true
126.0ms658×body160nan
sampling

Space saved by range analysis: 27.128753%

Space saved by search: 1.780793%

Guaranteed chance to sample good point: 0%

prune35.4s (9.0%)

Filtered
20097 candidates to 9787 candidates (51.3%)

series28.0s (7.1%)

Calls

454 calls:

2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* (* n (pow (* (cbrt (/ l Om)) (cbrt (/ l Om))) 2.0)) (pow (cbrt (/ l Om)) 2.0)) (- U U*)))))
2.0s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
2.0s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
380.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

regimes21.7s (5.5%)

Accuracy

Total 46.5b remaining (20%)

Threshold costs 5.8b (2.5%)

9.1b24%Toniolo and Linder, Equation (13)
5.7b54.9%Henrywood and Agarwal, Equation (3)
5.6b75.9%Toniolo and Linder, Equation (7)
4.9b20.2%Toniolo and Linder, Equation (10-)
4.5b21.1%Henrywood and Agarwal, Equation (12)

simplify13.6s (3.4%)

Algorithm
182×egg-herbie

rewrite6.3s (1.6%)

Algorithm
120×rewrite-expression-head
Calls

454 calls:

195.0ms
(- (* (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)) (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))) (* 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
178.0ms
(* (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)) (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
114.0ms
(* (cos th) (/ (/ (+ (pow a2 2) (pow a1 2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
84.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (/ (* (* 1.0 (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (* 2.0 l))))
81.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ 1 (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ d (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
Rules
32365×add-exp-log
23046×prod-exp
8497×pow-exp
7397×div-exp
7169×*-un-lft-identity
5884×times-frac
4916×add-sqr-sqrt
3877×add-cube-cbrt
3668×pow-to-exp
3125×add-cbrt-cube
2932×sqrt-prod
1502×cbrt-unprod
1268×associate-*r*
1244×pow1
1227×unpow-prod-down
1134×distribute-lft-out--
1054×exp-prod
892×associate-*r/
887×associate-*l*
678×distribute-lft-out
605×pow-prod-down
580×cbrt-prod
561×add-log-exp
555×cbrt-undiv
498×distribute-rgt-neg-in
495×frac-times
486×1-exp rec-exp
477×sqrt-div
464×associate-*l/
426×distribute-lft-neg-in
379×associate-/l*
329×associate-/r*
321×cbrt-div
297×flip-- flip3--
287×pow-unpow
278×unswap-sqr
251×div-inv
243×sqr-pow
230×associate-/r/
225×flip-+ flip3-+
216×difference-of-squares
163×pow-sqr pow-prod-up
156×*-commutative
124×cube-prod
123×tan-quot
110×pow-pow
90×clear-num frac-2neg
87×distribute-rgt-in distribute-lft-in
83×pow1/3
71×div-sub
68×sqrt-pow1
67×sub-neg
66×exp-neg distribute-frac-neg
63×frac-sub
55×neg-sub0
49×associate-/l/
48×neg-mul-1 pow1/2
45×exp-diff
44×rem-sqrt-square
38×frac-add
29×sum-log
28×diff-log
26×swap-sqr
25×+-commutative un-div-inv
24×associate--l+
18×sub-div unpow2
17×log-prod
16×log-div
14×pow-sub
10×cube-mult unpow3
log-pow pow-neg rem-cube-cbrt
distribute-rgt-out--
pow2 cos-sum associate-+r+
pow-plus asin-acos
difference-cubes neg-log sum-cubes associate--r+
cube-div exp-sum acos-asin cos-diff associate--r-
associate--l- rem-log-exp
associate-+l+ associate-+r- inv-pow mul0 unsub-neg rem-cbrt-cube pow-flip rem-exp-log

localize2.3s (0.6%)

bsearch1.3s (0.3%)

end1.0ms (0.0%)

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