Date:Tuesday, May 5th, 2020
Commit:256fb890 on master
Hostname:warfa with Racket 7.5
Seed:2020126
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 (36.0%)

Calls

435 calls:

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*)))))
4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.5s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
1.5s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (* l (/ l Om)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))

sample1.6m (35.2%)

Algorithm
61×intervals
Results
19.1s249179×body80valid
18.3s31253×body1280valid
13.5s165768×body80nan
9.3s8922×body2560valid
8.4s20795×body640valid
5.2s3328×body5120valid
2.9s10272×body320valid
1.6s9105×body160valid
803.0ms1609×body1280nan
518.0ms1426×body640nan
379.0ms610×body5120exit
318.0ms2362×body80overflowed
212.0ms800×body320nan
145.0ms8256×pre80true
55.0ms362×body160nan

prune43.0s (16.0%)

Filtered
24487 candidates to 9350 candidates (38.2%)

simplify13.1s (4.9%)

Algorithm
176×egg-herbie

regimes11.2s (4.2%)

Accuracy

Total 47.1b remaining (22.4%)

Threshold costs 5.2b (2.5%)

9.2b29.8%Toniolo and Linder, Equation (13)
7.4b50.3%Henrywood and Agarwal, Equation (3)
5.5b76.6%Toniolo and Linder, Equation (7)
5.1b15.6%Henrywood and Agarwal, Equation (12)
4.4b43%Toniolo and Linder, Equation (10+)

rewrite6.6s (2.5%)

Algorithm
116×rewrite-expression-head
Calls

435 calls:

96.0ms
(* (pow (/ 1 (pow k (/ 2.0 2))) 1.0) (* (pow (/ 1 (* (pow k (/ 2.0 2)) (pow t 1.0))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2))))
91.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ 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))))
89.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ 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))))
62.0ms
(* (* (* (/ (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))
57.0ms
(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
Rules
54185×add-exp-log
40540×prod-exp
28601×pow-exp
19042×div-exp
12740×pow-to-exp
4793×rec-exp 1-exp
4078×add-sqr-sqrt
4070×times-frac
3655×*-un-lft-identity
3127×add-cube-cbrt
2205×add-cbrt-cube
1467×sqrt-prod
1198×unpow-prod-down
1172×pow1
1041×associate-*l*
859×cbrt-unprod
835×associate-*r*
659×cbrt-prod
528×add-log-exp
433×associate-*r/
368×cbrt-undiv
350×pow-prod-down
342×associate-/l*
328×sqr-pow
320×associate-/r*
295×unswap-sqr
281×sqrt-div
263×pow-unpow
245×div-inv
222×associate-*l/
188×flip-+ flip3-+
174×frac-times
173×distribute-lft-out--
156×flip3-- flip--
148×*-commutative
147×difference-of-squares
140×exp-prod associate-/r/
124×distribute-lft-out
116×sqrt-pow1
94×pow1/3
92×cube-prod
83×distribute-lft-neg-in clear-num frac-2neg distribute-rgt-neg-in
80×pow1/2 distribute-rgt-in distribute-lft-in
76×cbrt-div tan-quot
71×swap-sqr
70×sub-neg
59×rem-sqrt-square
48×frac-sub pow-pow log-prod
47×associate-/l/
45×cube-div
36×unpow2 log-pow
32×associate--l+
29×sum-log
28×pow-prod-up frac-add
22×pow-sqr
21×+-commutative
20×div-sub
16×diff-log
14×unpow3 cube-mult exp-sum
12×rem-log-exp
11×neg-mul-1
10×cos-sum rem-cube-cbrt
exp-diff pow-plus pow2
associate-+r+ neg-sub0
pow-sub rem-cbrt-cube exp-to-pow log-div
rem-exp-log cos-diff
pow-neg inv-pow pow-flip distribute-frac-neg
un-div-inv exp-neg
sqrt-unprod rem-square-sqrt acos-asin asin-acos distribute-neg-frac associate--r+
sqrt-pow2 associate-+l+ sub-div mul0

localize2.2s (0.8%)

bsearch1.5s (0.6%)

end0.0ms (0.0%)

Profiling

Loading profile data...