Date:Tuesday, July 21st, 2020
Commit:7c127d0c on cleanup
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

prune1.5min (31.8%)

sample1.4min (31.5%)

Algorithm
61×intervals
Results
20.1s30016×body1280valid
14.5s173039×body80valid
9.4s20263×body640valid
5.6s5709×body2560valid
3.8s767×body5120invalid
3.6s37089×body80nan
3.6s1297×body2560invalid
3.1s9722×body320valid
2.7s4566×body1280nan
2.3s19643×body80invalid
1.9s3526×body1280invalid
1.8s8911×body160valid
1.8s4181×body640nan
1.0s2937×body640invalid
729.0ms276×body5120valid
643.0ms2077×body320nan
444.0ms1629×body320invalid
333.0ms2467×body80overflowed
173.0ms915×body160invalid
141.0ms8256×pre80true
121.0ms662×body160nan
10.0ms15×body5120exit

analyze34.3s (12.5%)

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

series28.1s (10.2%)

Calls

455 calls:

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)))))))))
1.9s
(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))))))))

regimes17.8s (6.5%)

Accuracy

Total 39.5b remaining (21.5%)

Threshold costs 5.6b (3%)

8.1b32.5%Toniolo and Linder, 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+)
4.5b65%Henrywood and Agarwal, Equation (3)

simplify11.2s (4.1%)

Algorithm
179×egg-herbie

rewrite5.6s (2.0%)

Algorithm
118×rewrite-expression-head
Calls

455 calls:

93.0ms
(* 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))))))
81.0ms
(* 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))))
68.0ms
(* (cos th) (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
57.0ms
(* (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))) (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))))
56.0ms
(* (* (+ (* a1 a1) (* a2 a2)) (cos th)) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
Rules
28176×add-exp-log
22459×prod-exp
12751×pow-exp
4963×div-exp
4950×pow-to-exp
4900×*-un-lft-identity
4722×times-frac
4417×add-sqr-sqrt
3554×add-cube-cbrt
3001×sqrt-prod
2388×add-cbrt-cube
1364×associate-*r*
1264×pow1
1030×associate-*r/
1001×cbrt-unprod
855×associate-*l*
745×unpow-prod-down
647×distribute-lft-out
563×add-log-exp
543×cbrt-prod
493×sqrt-pow1
477×pow-prod-down
464×exp-prod
450×associate-*l/
444×frac-times
386×pow-unpow
356×flip-+ flip3-+
344×cbrt-undiv
328×associate-/l*
279×sqr-pow
278×associate-/r*
261×unswap-sqr
250×sqrt-div
248×1-exp rec-exp
232×div-inv
213×flip-- flip3--
179×associate-/r/
163×*-commutative
158×distribute-lft-out--
152×difference-of-squares
148×distribute-rgt-in distribute-lft-in
147×frac-sub
121×associate-/l/
112×div-sub
92×cbrt-div
91×pow1/3 pow-sub
89×sub-neg
88×tan-quot
77×clear-num frac-2neg
75×pow-prod-up
73×pow1/2 pow-sqr
72×pow-pow
59×rem-sqrt-square 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
18×diff-log 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

localize2.6s (1.0%)

bsearch789.0ms (0.3%)

end1.0ms (0.0%)

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