Date:Monday, March 2nd, 2020
Commit:76ce2b17 on master
Hostname:warfa with Racket 7.5
Seed:2020062
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 (37.5%)

Calls

415 calls:

4.9s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* 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 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 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
4.6s
(sqrt (* (* (cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))) (cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))) (cbrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))))
1.3s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))

sample1.4m (31.9%)

Algorithm
61×intervals
Results
16.0s30838×body1280valid
15.5s249001×body80valid
10.7s166976×body80nan
9.1s8968×body2560valid
7.2s20971×body640valid
5.2s3369×body5120valid
2.3s9986×body320valid
1.4s9289×body160valid
836.0ms2579×body1280nan
591.0ms2375×body640nan
332.0ms660×body10240exit
203.0ms1190×body320nan
110.0ms8256×pre80true
65.0ms600×body160nan

prune47.4s (18.2%)

simplify11.7s (4.5%)

Algorithm
171×egg-herbie

regimes9.7s (3.7%)

Accuracy

Total 43.5b remaining (21.7%)

Threshold costs 4.2b (2.1%)

7.9b9.2%Toniolo and Linder, Equation (13)
6.1b-4.7%Henrywood and Agarwal, Equation (12)
6.0b74.2%Toniolo and Linder, Equation (7)
5.2b8.6%Toniolo and Linder, Equation (10+)
4.6b50.7%Henrywood and Agarwal, Equation (3)

rewrite5.1s (2.0%)

Algorithm
111×rewrite-expression-head
Calls

415 calls:

86.0ms
(* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* (/ (cos th) (sqrt (sqrt 2.0))) a1))
70.0ms
(* (* (* (pow (/ (* (cbrt d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) 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 d) (cbrt d)) (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ (cbrt d) (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (pow (/ (cbrt d) l) (/ 1.0 2.0)))) (- 1.0 (* (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) h) (/ 1 l))))
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))
59.0ms
(* (* (* (/ (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
21617×add-exp-log
14064×prod-exp
6567×pow-exp
6193×div-exp
4656×times-frac
4202×add-sqr-sqrt
3948×*-un-lft-identity
3508×sqrt-prod
3361×add-cube-cbrt
2655×pow-to-exp
2608×add-cbrt-cube
2506×associate-*r/
1545×associate-*l*
1222×cbrt-div
1188×pow1
1075×cbrt-unprod
1071×flip3-- flip--
944×frac-times
893×sqrt-div
887×associate-*r*
809×1-exp
755×unpow-prod-down
631×frac-sub
488×add-log-exp
487×cbrt-undiv
450×associate-*l/
397×pow-prod-down
345×rec-exp
338×associate-/r*
329×unswap-sqr
301×associate-/l*
275×cbrt-prod
253×div-inv
248×associate-/r/
229×pow-unpow
222×sqr-pow
199×distribute-lft-out
154×*-commutative
143×flip-+ flip3-+
142×distribute-lft-out--
120×exp-prod
90×sqrt-pow1
87×clear-num frac-2neg
85×distribute-rgt-neg-in
78×difference-of-squares
74×tan-quot
67×distribute-rgt-in distribute-lft-in
62×distribute-lft-neg-in
59×sub-neg
56×log-pow
54×pow1/2
53×pow1/3
52×rem-sqrt-square
50×unpow2
44×pow-pow
38×cube-prod
29×associate-/l/
26×log-prod
21×sum-log
20×frac-add
19×+-commutative
18×div-sub associate--l+
15×diff-log
11×pow-prod-up
10×associate-+r+
neg-sub0 neg-mul-1
pow-plus asin-acos
cos-sum inv-pow pow-sub pow-flip swap-sqr
exp-diff rem-cube-cbrt un-div-inv pow-sqr rem-log-exp
pow-neg unpow3 cube-mult associate--r-
pow2 cos-diff distribute-rgt-out-- exp-sum
cube-div rem-exp-log associate-+r- sub-div unsub-neg distribute-frac-neg acos-asin neg-log distribute-neg-frac exp-to-pow associate--r+
associate-+l+ pow3 exp-neg associate--l- mul0 rem-cbrt-cube

bsearch3.5s (1.3%)

localize2.1s (0.8%)

end1.0ms (0.0%)