Date:Wednesday, March 4th, 2020
Commit:96d2f482 on refactor-and-minor
Hostname:warfa with Racket 7.5
Seed:2020064
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

series1.7m (37.0%)

Calls

443 calls:

5.0s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ 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 l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.6s
(sqrt (* (* (cbrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))) (cbrt (* (* 2.0 n) (* U (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))) (cbrt (* (* 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 (30.3%)

Algorithm
61×intervals
Results
16.0s31069×body1280valid
15.6s247954×body80valid
10.8s166292×body80nan
8.7s8843×body2560valid
7.2s21086×body640valid
5.2s3387×body5120valid
2.4s10341×body320valid
1.4s9234×body160valid
846.0ms2631×body1280nan
549.0ms2293×body640nan
316.0ms636×body10240exit
212.0ms1264×body320nan
115.0ms8256×pre80true
70.0ms613×body160nan

prune57.3s (20.7%)

Filtered
22905 candidates to 10347 candidates (45.2%)

simplify12.9s (4.7%)

Algorithm
176×egg-herbie

regimes10.1s (3.6%)

Accuracy

Total 48.4b remaining (23.5%)

Threshold costs 4.8b (2.3%)

12.7b8.5%Toniolo and Linder, Equation (13)
6.2b44.2%Henrywood and Agarwal, Equation (3)
6.1b-9.7%Henrywood and Agarwal, Equation (12)
5.9b75.5%Toniolo and Linder, Equation (7)
3.5b56.1%Toniolo and Linder, Equation (10+)

rewrite6.5s (2.3%)

Algorithm
116×rewrite-expression-head
Calls

443 calls:

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))))
82.0ms
(* (* (* (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))))
68.0ms
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
67.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
65.0ms
(* (* (* (/ (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))
Rules
37577×add-exp-log
25873×prod-exp
14848×pow-exp
11732×div-exp
8047×times-frac
6841×pow-to-exp
6123×*-un-lft-identity
5856×add-sqr-sqrt
4901×add-cube-cbrt
3714×associate-*r/
3066×sqrt-prod
2604×add-cbrt-cube
1782×associate-*l*
1715×unpow-prod-down
1209×pow1
1121×flip3-- flip--
1098×rec-exp 1-exp
1082×cbrt-prod
1061×cbrt-unprod
1058×frac-times
1034×cbrt-div
802×associate-*r*
720×sqrt-div
715×frac-sub
526×add-log-exp
464×cbrt-undiv
457×distribute-lft-out
435×associate-*l/
430×associate-/l*
392×pow-prod-down
375×associate-/r*
371×sqr-pow
358×div-inv
313×unswap-sqr
307×associate-/r/
286×flip-+ flip3-+
231×pow-unpow
222×distribute-lft-out--
169×frac-add
152×*-commutative
137×difference-of-squares
112×distribute-rgt-in distribute-lft-in
109×pow1/3
106×distribute-rgt-neg-in
93×clear-num frac-2neg
91×sqrt-pow1
90×distribute-lft-neg-in
89×cube-div cube-prod
78×sub-neg
76×exp-prod
58×tan-quot
50×pow1/2
44×unpow2
43×pow-pow
41×rem-sqrt-square
38×associate--l+
36×swap-sqr
35×associate-/l/
30×sum-log
23×+-commutative
21×pow-prod-up
20×log-prod
17×div-sub
16×associate--r+
15×pow-sqr
14×log-pow
12×pow-plus exp-sum neg-mul-1
11×associate-+r+ diff-log
10×rem-cube-cbrt neg-sub0
pow2 sub-div pow-flip
unpow3 cube-mult distribute-neg-frac
cos-sum difference-cubes inv-pow pow-sub
rem-exp-log
pow-neg associate-+l+
exp-diff cos-diff distribute-frac-neg acos-asin neg-log associate-+l- rem-log-exp
un-div-inv distribute-rgt-out-- asin-acos rem-cbrt-cube associate-+r- log-div
sqrt-undiv pow3 exp-neg unsub-neg mul0 sum-cubes exp-to-pow

localize2.3s (0.8%)

bsearch1.3s (0.5%)

end0.0ms (0.0%)