Date:Thursday, April 9th, 2020
Commit:e7bf75bc on gh-actions
Hostname:warfa with Racket 7.5
Seed:2020100
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

series1.8m (39.4%)

Calls

444 calls:

4.9s
(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*)))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (* (/ l (* (cbrt Om) (cbrt Om))) (/ l (cbrt 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*)))))
1.4s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

sample1.4m (30.1%)

Algorithm
61×intervals
Results
15.7s30686×body1280valid
15.5s248661×body80valid
10.9s167283×body80nan
8.7s8899×body2560valid
7.4s21165×body640valid
5.2s3428×body5120valid
2.4s10233×body320valid
1.4s9104×body160valid
830.0ms2591×body1280nan
567.0ms2319×body640nan
395.0ms819×body10240exit
197.0ms1144×body320nan
107.0ms8256×pre80true
74.0ms644×body160nan

prune49.4s (18.0%)

Filtered
20282 candidates to 10299 candidates (50.8%)

simplify12.0s (4.4%)

Algorithm
178×egg-herbie

regimes10.9s (4.0%)

Accuracy

Total 46.7b remaining (24.3%)

Threshold costs 5.8b (3%)

8.4b42.5%Henrywood and Agarwal, Equation (3)
7.4b16.5%Toniolo and Linder, Equation (13)
6.7b-10.5%Given's Rotation SVD example
5.6b3.3%Henrywood and Agarwal, Equation (12)
5.6b76.4%Toniolo and Linder, Equation (7)

rewrite5.3s (1.9%)

Algorithm
118×rewrite-expression-head
Calls

444 calls:

199.0ms
(- (* (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) (* 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
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))))
83.0ms
(* (* (* (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))))
38.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
37.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))
Rules
31824×add-exp-log
22233×prod-exp
11402×pow-exp
9121×div-exp
5028×pow-to-exp
4195×add-sqr-sqrt
3877×*-un-lft-identity
3114×times-frac
2925×add-cube-cbrt
2737×add-cbrt-cube
1341×rec-exp 1-exp
1065×sqrt-prod
1064×pow1
1062×cbrt-unprod
857×associate-*r*
807×associate-*l*
777×unpow-prod-down
613×cbrt-undiv
608×prod-diff
528×add-log-exp
458×cbrt-prod
445×log1p-expm1-u
444×expm1-log1p-u
423×associate-*r/
422×pow-unpow
404×distribute-rgt-neg-in
376×associate-/l*
349×distribute-lft-neg-in
329×distribute-lft-out--
303×pow-prod-down
288×difference-of-squares
278×div-inv
276×unswap-sqr
270×associate-/r*
254×sqrt-div
242×distribute-lft-out
217×flip3-- flip--
213×sqr-pow
185×associate-/r/
163×distribute-rgt-in distribute-lft-in
151×frac-times
145×*-commutative
129×associate-*l/
118×exp-prod
94×clear-num frac-2neg
83×flip-+ flip3-+
82×div-sub swap-sqr
76×pow1/3
75×fma-neg
71×distribute-frac-neg
70×sqrt-pow1
69×cos-sum
64×log-prod
63×fma-def neg-sub0
58×exp-neg
57×sub-neg
55×frac-sub
49×exp-diff
47×pow1/2
44×rem-sqrt-square cube-prod
42×associate-/l/
40×cbrt-div
38×pow-pow
37×neg-mul-1
32×exp-sum associate--l+
30×fma-udef
27×un-div-inv unpow2
25×log-pow sum-log
23×tan-quot
22×associate--r+
19×diff-log +-commutative
17×pow-sub
15×pow-neg sub-div
13×hypot-udef
12×hypot-def
10×sqrt-undiv pow-prod-up pow-sqr
rem-log-exp
distribute-neg-frac
rem-cube-cbrt frac-add pow2
rem-exp-log pow-plus associate-+l+ associate-+r- unsub-neg
inv-pow neg-log pow-flip unpow3 cube-mult
cos-diff acos-asin sqrt-unprod asin-acos associate--r- log-div
cube-div expm1-log1p associate--l- rem-cbrt-cube expm1-udef
sqrt-pow2 log1p-udef log1p-expm1 rem-square-sqrt mul0 distribute-rgt-out--

bsearch3.6s (1.3%)

localize2.3s (0.8%)

end1.0ms (0.0%)