Date:Saturday, May 9th, 2020
Commit:05e10696 on master
Hostname:warfa with Racket 7.5
Seed:2020130
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

sample1.6m (36.1%)

Algorithm
61×intervals
Results
19.1s249392×body80valid
18.0s30776×body1280valid
13.5s167133×body80nan
9.4s8942×body2560valid
8.7s21175×body640valid
5.5s3417×body5120valid
2.9s10369×body320valid
1.7s9263×body160valid
835.0ms1654×body1280nan
555.0ms1524×body640nan
413.0ms649×body5120exit
356.0ms2779×body80overflowed
197.0ms789×body320nan
151.0ms8256×pre80true
61.0ms403×body160nan

series1.6m (35.9%)

Calls

427 calls:

4.9s
(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 (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
4.6s
(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 (* (cbrt Om) (cbrt Om))) (/ l (cbrt Om))))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

prune41.5s (15.7%)

Filtered
20047 candidates to 9225 candidates (46.0%)

simplify12.2s (4.6%)

Algorithm
174×egg-herbie

regimes10.2s (3.8%)

Accuracy

Total 49.4b remaining (23.2%)

Threshold costs 5.6b (2.6%)

11.1b15.1%Toniolo and Linder, Equation (13)
8.2b48.7%Henrywood and Agarwal, Equation (3)
6.0b75.2%Toniolo and Linder, Equation (7)
5.5b16.7%Toniolo and Linder, Equation (10+)
4.1b0%Henrywood and Agarwal, Equation (12)

rewrite5.8s (2.2%)

Algorithm
114×rewrite-expression-head
Calls

427 calls:

74.0ms
(* (* (* (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)) (* (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))))
73.0ms
(* (* (* (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)) (* (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)))))
61.0ms
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
60.0ms
(* (* (* (/ (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 (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
34764×add-exp-log
24336×prod-exp
12913×pow-exp
10125×div-exp
6001×pow-to-exp
4431×times-frac
4274×add-sqr-sqrt
3798×*-un-lft-identity
3120×add-cube-cbrt
2526×add-cbrt-cube
1438×unpow-prod-down
1388×sqrt-prod
1256×pow1
1194×associate-*l*
1108×rec-exp 1-exp
1025×cbrt-unprod
879×associate-*r*
697×associate-*r/
648×cbrt-prod
515×add-log-exp
451×cbrt-undiv
418×pow-prod-down
393×unswap-sqr
386×sqr-pow
351×sqrt-div
337×associate-/r*
331×associate-/l*
298×associate-*l/
279×div-inv
271×frac-times
262×flip3-- flip--
256×distribute-lft-out
241×pow-unpow
238×associate-/r/
203×difference-of-squares
168×flip-+ flip3-+
163×*-commutative
132×cube-prod
112×unpow2
110×distribute-rgt-in distribute-lft-in
108×distribute-lft-out--
106×sqrt-pow1
89×frac-sub
87×clear-num frac-2neg
77×sub-neg
73×pow1/2
71×tan-quot
59×rem-sqrt-square
53×distribute-rgt-neg-in
51×cbrt-div
49×pow1/3
47×swap-sqr
46×associate-/l/ pow-pow
42×associate--l+
41×distribute-lft-neg-in
31×sum-log
28×exp-prod
26×frac-add +-commutative
22×cube-div
21×log-pow
20×pow-prod-up
19×pow-flip
16×pow-sqr associate-+r+
14×div-sub diff-log
11×rem-cube-cbrt unpow3 cube-mult
10×log-prod
inv-pow
exp-sum
pow-plus
cos-sum pow2 pow-sub
neg-sub0 asin-acos neg-mul-1 rem-log-exp
pow-neg un-div-inv rem-cbrt-cube associate-+r- log-div
exp-diff rem-exp-log cos-diff acos-asin
sqrt-unprod rem-square-sqrt sum-cubes distribute-neg-frac associate--r+
pow-div sqrt-pow2 associate-+l+ unsub-neg distribute-frac-neg sub-div associate--r- mul0

bsearch2.1s (0.8%)

localize2.1s (0.8%)

end1.0ms (0.0%)

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