Date:Saturday, February 29th, 2020
Commit:d0c22b93 on refactor-and-minor
Hostname:warfa with Racket 7.5
Seed:2020060
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 (37.2%)

Calls

430 calls:

5.0s
(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 (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.7s
(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 l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
1.3s
(* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* n (* (pow (/ l Om) 2.0) (- U U*))))))

sample1.4m (28.6%)

Algorithm
61×intervals
Results
16.1s29267×body1280valid
15.7s252878×body80valid
10.0s162042×body80nan
8.8s8861×body2560valid
7.5s20556×body640valid
5.6s3434×body5120valid
2.4s9875×body320valid
1.3s9091×body160valid
575.0ms748×body10240exit
149.0ms607×body1280nan
121.0ms637×body640nan
113.0ms8256×pre80true
53.0ms365×body320nan
19.0ms186×body160nan

prune52.6s (18.3%)

Filtered
21384 candidates to 9824 candidates (45.9%)

rewrite19.4s (6.7%)

Algorithm
114×rewrite-expression-head
Calls

430 calls:

3.6s
(* (cos (- (/ (* K (+ m n)) 2.0) M)) (exp (- (- (pow (- (/ (+ m n) 2.0) M) 2.0)) (- l (fabs (- m n))))))
1.3s
(- (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (* 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
1.0s
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
613.0ms
(* (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
467.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
Rules
36332×add-exp-log
25545×prod-exp
15710×pow-exp
12277×div-exp
8020×pow-to-exp
3753×add-sqr-sqrt
3696×*-un-lft-identity
3087×times-frac
2859×add-cube-cbrt
2692×add-cbrt-cube
1759×1-exp
1527×rec-exp
1315×sqrt-prod
1168×cbrt-unprod
1118×pow1
935×associate-*r*
773×associate-*l*
702×unpow-prod-down
572×cbrt-prod
557×associate-*r/
533×prod-diff
532×cbrt-undiv
497×add-log-exp
431×expm1-log1p-u
430×log1p-expm1-u
374×associate-/l*
351×pow-prod-down
349×associate-/r*
330×distribute-lft-out
305×pow-unpow
280×distribute-rgt-in distribute-lft-in
268×div-inv
258×unswap-sqr
224×distribute-rgt-neg-in
215×associate-*l/
197×sqrt-div
190×sqr-pow
188×frac-times
187×div-sub
174×distribute-lft-out--
160×exp-diff
158×distribute-lft-neg-in
156×flip3-- flip--
147×difference-of-squares
143×*-commutative
126×exp-sum
112×flip-+ flip3-+
110×associate-/r/
103×sqrt-pow1
102×frac-2neg clear-num
85×frac-sub
84×associate--l+
82×tan-quot
80×sub-neg
71×exp-prod
70×pow-pow
69×cos-sum
66×pow1/2
64×neg-sub0
60×fma-def
57×associate-+r- unsub-neg
44×rem-sqrt-square
39×pow1/3
36×associate-/l/
34×fma-udef
30×unpow2
28×swap-sqr
26×associate-+l+
25×sum-log
22×+-commutative
21×fma-neg
18×associate-+r+ sub-div log-prod
17×neg-mul-1
16×log-pow
15×hypot-def
13×pow-flip
12×pow-prod-up frac-add
11×pow-sub
10×cube-prod
diff-log inv-pow
pow-sqr
cbrt-div
pow-neg
acos-asin distribute-neg-frac
cube-div asin-acos cos-diff unpow3 cube-mult pow2 rem-log-exp
rem-cube-cbrt un-div-inv log1p-udef log1p-expm1 hypot-udef expm1-log1p pow-plus distribute-frac-neg expm1-udef
rem-exp-log sqrt-unprod rem-square-sqrt associate--r- mul0 distribute-rgt-out--

simplify11.7s (4.1%)

Algorithm
174×egg-herbie

regimes10.0s (3.5%)

Accuracy

Total 48.9b remaining (24.7%)

Threshold costs 4.9b (2.5%)

10.1b15.3%Toniolo and Linder, Equation (13)
8.1b9.2%Toniolo and Linder, Equation (10+)
7.9b28%Henrywood and Agarwal, Equation (3)
6.6b72%Toniolo and Linder, Equation (7)
3.9b18.1%Henrywood and Agarwal, Equation (12)

bsearch2.4s (0.8%)

localize2.2s (0.8%)

end1.0ms (0.0%)