Date:Wednesday, April 15th, 2020
Commit:b8df7a50 on overflow-detection-both-ends
Hostname:warfa with Racket 7.5
Seed:2020106
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

prune2.2m (35.6%)

Filtered
36352 candidates to 19633 candidates (54.0%)

sample1.6m (26.1%)

Algorithm
61×intervals
Results
19.1s248906×body80valid
18.1s31103×body1280valid
13.5s166711×body80nan
9.5s8891×body2560valid
8.3s21004×body640valid
5.6s3346×body5120valid
2.8s10330×body320valid
1.7s9246×body160valid
847.0ms1658×body1280nan
544.0ms1468×body640nan
382.0ms607×body5120exit
351.0ms2539×body80overflowed
208.0ms834×body320nan
153.0ms8256×pre80true
55.0ms362×body160nan

series1.6m (26.0%)

Calls

441 calls:

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

simplify18.2s (5.0%)

Algorithm
174×egg-herbie

regimes10.8s (3.0%)

Accuracy

Total 39.6b remaining (20.5%)

Threshold costs 4.3b (2.2%)

10.0b25.9%Toniolo and Linder, Equation (13)
5.5b20.8%Henrywood and Agarwal, Equation (12)
5.4b76.8%Toniolo and Linder, Equation (7)
4.0b50.8%Toniolo and Linder, Equation (10+)
3.3b28.2%Toniolo and Linder, Equation (10-)

rewrite10.8s (3.0%)

Algorithm
114×rewrite-expression-head
Calls

441 calls:

1.1s
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2)))
474.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ d (cbrt h)) (/ 1.0 2.0))) (* (pow (/ (* (cbrt d) (cbrt d)) 1) (/ 1.0 2.0)) (* (pow (/ 1 (* (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))))
151.0ms
(/ (/ (cos k) (/ (/ (pow (cbrt (sin k)) 4) l) l)) (pow (cbrt (sin k)) 2))
79.0ms
(* (* (* (pow (/ 1 (* (cbrt h) (cbrt h))) (/ 1.0 2.0)) (pow (/ 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))))
63.0ms
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
Rules
100085×add-exp-log
75728×prod-exp
42580×pow-exp
31688×times-frac
30898×div-exp
15456×add-sqr-sqrt
14493×*-un-lft-identity
14384×pow-to-exp
13939×add-cube-cbrt
8948×unpow-prod-down
8648×1-exp
5614×rec-exp
4663×cbrt-prod
4501×associate-*r*
2409×add-cbrt-cube
1777×sqrt-prod
1652×sqr-pow
1205×pow1
1166×associate-*l*
993×cbrt-unprod
716×unpow2
655×associate-/l*
544×add-log-exp
515×div-inv
464×unswap-sqr
429×associate-*r/
403×cbrt-undiv
376×pow-prod-down
312×sqrt-div
277×pow-unpow
263×associate-/r*
231×associate-*l/
207×frac-times
203×distribute-lft-out--
179×flip3-- flip--
167×flip-+ flip3-+
149×*-commutative
148×cbrt-div
137×associate-/r/
136×distribute-rgt-neg-in distribute-lft-neg-in
131×difference-of-squares
113×sqrt-pow1
108×distribute-lft-out
91×pow1/3
84×pow1/2
83×distribute-rgt-in distribute-lft-in
81×frac-2neg clear-num
77×sub-neg
69×swap-sqr
60×tan-quot
59×rem-sqrt-square
50×frac-sub
38×associate-/l/ pow-pow
37×sum-log
31×exp-prod +-commutative
26×pow-prod-up associate--l+
24×cube-prod
20×frac-add log-pow
19×pow-sqr
16×neg-mul-1 diff-log
15×associate-+r+ log-prod
14×div-sub
13×pow-sub neg-sub0
12×pow-neg
10×cos-sum
pow-plus
pow2
unpow3 cube-mult exp-sum distribute-neg-frac
cos-diff
rem-cube-cbrt un-div-inv inv-pow pow-flip associate--r+ rem-log-exp
sqrt-unprod rem-square-sqrt distribute-frac-neg acos-asin
rem-exp-log associate-+r- distribute-rgt-out-- sub-div asin-acos associate--r- rem-cbrt-cube
exp-diff associate-+l+ mul0

bsearch2.7s (0.7%)

localize2.3s (0.6%)

end1.0ms (0.0%)