Date:Wednesday, February 26th, 2020
Commit:a943e6d1 on master
Hostname:warfa with Racket 7.5
Seed:2020057
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:complexrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

series1.6m (36.1%)

Calls

438 calls:

4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
4.7s
(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 (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

sample1.5m (32.1%)

Algorithm
61×intervals
Results
17.8s31047×body1280valid
15.9s249062×body80valid
10.6s165921×body80nan
8.9s8832×body2560valid
8.0s20951×body640valid
5.6s3367×body5120valid
2.6s10175×body320valid
1.4s9256×body160valid
835.0ms2642×body1280nan
598.0ms674×body10240exit
558.0ms2339×body640nan
202.0ms1189×body320nan
114.0ms8256×pre80true
62.0ms591×body160nan

prune52.6s (19.3%)

simplify12.3s (4.5%)

Algorithm
175×egg-herbie

regimes10.7s (3.9%)

Accuracy

Total 44.7b remaining (22%)

Threshold costs 4.5b (2.2%)

9.2b5.8%Toniolo and Linder, Equation (13)
6.0b53.5%Henrywood and Agarwal, Equation (3)
6.0b0%Henrywood and Agarwal, Equation (12)
5.6b76.3%Toniolo and Linder, Equation (7)
3.4b51%Toniolo and Linder, Equation (10-)

rewrite6.2s (2.3%)

Algorithm
115×rewrite-expression-head
Calls

438 calls:

84.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
82.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt l) (cbrt l))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt l)) (/ 1.0 2.0)))) (- 1.0 (* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ (* (cbrt h) (cbrt h)) (* (cbrt l) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
66.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
63.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
60.0ms
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
Rules
33669×add-exp-log
23569×prod-exp
11731×pow-exp
9470×div-exp
5213×pow-to-exp
4305×times-frac
4116×add-sqr-sqrt
3922×*-un-lft-identity
3172×add-cube-cbrt
2752×add-cbrt-cube
1523×unpow-prod-down
1491×associate-*l*
1394×sqrt-prod
1383×pow1
1340×1-exp
1335×rec-exp
1262×cbrt-unprod
1073×associate-*r/
951×associate-*r*
620×cbrt-prod
612×sqrt-div
530×add-log-exp
491×cbrt-undiv
473×frac-times
471×pow-prod-down
426×cbrt-div
390×sqr-pow
383×flip3-- flip--
358×associate-/l*
356×associate-*l/
329×associate-/r/
310×pow-unpow
297×distribute-lft-out
283×unswap-sqr
269×associate-/r*
246×flip-+ flip3-+
231×div-inv
162×difference-of-squares
157×*-commutative
146×distribute-lft-out-- sqrt-pow1
141×distribute-rgt-neg-in
102×pow1/2 exp-prod
95×distribute-lft-neg-in cube-prod
85×clear-num frac-2neg
75×distribute-rgt-in tan-quot distribute-lft-in
71×pow-pow
60×rem-sqrt-square sub-neg
57×pow1/3
55×pow-prod-up
53×unpow2
50×associate-/l/
47×log-prod
40×frac-sub
37×cube-div
36×log-div
34×sum-log
30×log-pow
29×swap-sqr
27×pow-sqr +-commutative
26×exp-diff associate--l+
24×div-sub
19×frac-add neg-sub0
16×exp-sum
14×rem-cube-cbrt pow-plus pow-neg rem-log-exp
13×diff-log
12×pow-sub
11×neg-mul-1
associate-+r+
cos-sum un-div-inv unpow3 cube-mult
distribute-neg-frac
pow2
rem-exp-log neg-log
cos-diff unsub-neg associate-+r- associate--r+
sqrt-unprod inv-pow pow-flip acos-asin associate-+l-
unpow-prod-up distribute-frac-neg asin-acos associate--r- rem-cbrt-cube
sqrt-undiv difference-cubes sqrt-pow2 associate-+l+ associate--l- rem-square-sqrt mul0

localize2.4s (0.9%)

bsearch2.3s (0.8%)

end0.0ms (0.0%)