Date:Tuesday, July 21st, 2020
Commit:e15f1dc1 on master
Hostname:warfa with Racket 7.5
Seed:2020203
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

sample1.5min (38.8%)

Algorithm
62×intervals
Results
20.1s30802×body1280valid
14.7s175569×body80valid
9.5s20664×body640valid
6.3s7405×body2560valid
4.8s49844×body80nan
3.8s769×body5120invalid
3.3s1329×body2560invalid
3.1s9920×body320valid
2.7s23933×body80invalid
2.6s4566×body1280nan
2.1s2574×body5120valid
1.9s4181×body640nan
1.9s3600×body1280invalid
1.8s9002×body160valid
1.0s2974×body640invalid
630.0ms2077×body320nan
446.0ms1663×body320invalid
370.0ms579×body5120exit
327.0ms2467×body80overflowed
173.0ms930×body160invalid
147.0ms8256×pre80true
118.0ms662×body160nan

prune42.8s (18.1%)

Filtered
19321 candidates to 9678 candidates (49.9%)

analyze33.5s (14.2%)

Algorithm
31×search
Search
TrueOtherFalseIter
0%98.2%1.8%0
3.2%95%1.8%1
5.6%91%3.4%2
8%84.5%7.4%3
9.8%80.7%9.5%4
13.5%76.9%9.7%5
16%72.8%11.2%6
18.1%68.2%13.7%7
21.2%62.6%16.2%8
24.7%57%18.2%9
26.4%53.6%20%10
28.9%49.8%21.3%11
30.2%47.2%22.5%12
31.9%42.5%25.7%13
32.9%40.8%26.3%14

series29.0s (12.3%)

Calls

459 calls:

2.1s
(sqrt (* 2.0 (* n (* U (+ t (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om)))))))))
1.9s
(sqrt (* 2.0 (* n (* U (+ t (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om)))))))))
1.9s
(sqrt (* 2.0 (* n (* U (+ t (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om)))))))))
1.7s
(sqrt (* 2.0 (+ (* n (* U t)) (* n (* U (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om)))))))))
1.3s
(sqrt (* n (* U (+ t (- (* n (* (pow (/ l Om) 2.0) (- U* U))) (* 2.0 (* l (/ l Om))))))))

regimes19.3s (8.2%)

Accuracy

Total 45.9b remaining (21.2%)

Threshold costs 5.6b (2.6%)

8.1b32.5%Toniolo and Linder, Equation (13)
6.4b19.8%Henrywood and Agarwal, Equation (13)
6.0b74.9%Toniolo and Linder, Equation (7)
5.3b28.4%Henrywood and Agarwal, Equation (12)
4.9b26.1%Toniolo and Linder, Equation (10+)

simplify11.3s (4.8%)

Algorithm
181×egg-herbie

rewrite5.7s (2.4%)

Algorithm
119×rewrite-expression-head
Calls

459 calls:

91.0ms
(* l (* 2.0 (* (pow (pow (pow k (/ (neg 2.0) 2)) 1.0) 1.0) (* l (* (/ (cos k) (pow (sin k) 2)) (pow (* (pow (pow k (/ (neg 2.0) 2)) 1.0) (pow (pow t (neg 1.0)) 1.0)) 1.0))))))
76.0ms
(* l (* 2.0 (* (pow (* (pow (pow k (/ (neg 2.0) 2)) 1.0) (* (pow (pow t (neg 1.0)) 1.0) (pow (pow k (/ (neg 2.0) 2)) 1.0))) 1.0) (* (/ (cos k) (pow (sin k) 2)) l))))
69.0ms
(* (cos th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
59.0ms
(* (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))) (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))))
55.0ms
(* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
Rules
28283×add-exp-log
22517×prod-exp
12766×pow-exp
4993×div-exp
4965×pow-to-exp
4907×*-un-lft-identity
4726×times-frac
4425×add-sqr-sqrt
3561×add-cube-cbrt
3004×sqrt-prod
2418×add-cbrt-cube
1364×associate-*r*
1269×pow1
1050×associate-*r/
1011×cbrt-unprod
855×associate-*l*
745×unpow-prod-down
647×distribute-lft-out
569×add-log-exp
543×cbrt-prod
494×sqrt-pow1
477×pow-prod-down
464×frac-times exp-prod
462×associate-*l/
386×pow-unpow
356×flip-+ flip3-+
352×cbrt-undiv
330×associate-/l*
282×associate-/r*
280×sqrt-div
279×sqr-pow
261×unswap-sqr
248×1-exp rec-exp
234×div-inv
230×flip-- flip3--
195×associate-/r/
175×frac-sub
163×*-commutative
158×distribute-lft-out--
152×difference-of-squares
148×distribute-rgt-in distribute-lft-in
121×associate-/l/
112×div-sub
92×cbrt-div
91×pow1/3 pow-sub
90×sub-neg
88×tan-quot
79×clear-num frac-2neg
75×pow-prod-up
74×pow1/2
73×pow-sqr
72×pow-pow
60×rem-sqrt-square
59×log-prod
48×distribute-lft-neg-in distribute-rgt-neg-in
37×sum-log
32×associate--l+
30×swap-sqr
28×associate-+r-
26×frac-add +-commutative
23×cube-prod
19×diff-log
18×pow-flip
17×log-pow
16×neg-mul-1
15×unpow2
12×distribute-frac-neg pow-neg
11×rem-log-exp
10×neg-sub0 pow-div
sinh-def
exp-diff
associate-+r+ cube-mult unpow3
pow2 pow-plus exp-to-pow un-div-inv
unpow-prod-up inv-pow associate--r+ rem-cube-cbrt
cube-div acos-asin sqrt-unprod rem-exp-log
exp-sum log-div
e-exp-1 sinh-undef asin-acos rem-cbrt-cube
associate--l- cos-diff associate-+l+ cos-sum sqrt-undiv rem-square-sqrt sub-div distribute-rgt-neg-out mul0-rgt sin-mult

localize2.4s (1.0%)

bsearch773.0ms (0.3%)

end1.0ms (0.0%)

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