Date:Friday, May 8th, 2020
Commit:4abb449a on separate-biginterval
Hostname:warfa with Racket 7.5
Seed:2020129
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 (36.5%)

Algorithm
61×intervals
Results
19.2s249656×body80valid
18.4s31393×body1280valid
13.7s168563×body80nan
9.7s8974×body2560valid
8.4s20924×body640valid
5.7s3331×body5120valid
3.1s10183×body320valid
1.7s9176×body160valid
821.0ms1641×body1280nan
532.0ms1484×body640nan
352.0ms2624×body80overflowed
351.0ms567×body5120exit
182.0ms747×body320nan
147.0ms8256×pre80true
65.0ms396×body160nan

series1.6m (36.2%)

Calls

435 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*))))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* 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 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))

prune40.6s (15.3%)

Filtered
22022 candidates to 9048 candidates (41.1%)

simplify11.9s (4.5%)

Algorithm
174×egg-herbie

regimes10.4s (3.9%)

Accuracy

Total 39.8b remaining (19.4%)

Threshold costs 3.1b (1.5%)

7.4b18.8%Toniolo and Linder, Equation (13)
6.9b9.3%Toniolo and Linder, Equation (10+)
5.9b75.4%Toniolo and Linder, Equation (7)
3.4b0%Henrywood and Agarwal, Equation (12)
2.9b44.1%Toniolo and Linder, Equation (10-)

rewrite5.9s (2.2%)

Algorithm
114×rewrite-expression-head
Calls

435 calls:

115.0ms
(* (/ (/ 1 PI) (sqrt 2.0)) (/ (/ 1 t) (sqrt (- 1.0 (* 3.0 (* v v))))))
107.0ms
(* (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))))
57.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (* (/ (pow (cbrt t) 3.0) l) (* (cbrt (sin k)) (cbrt (sin k)))) (cbrt (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
46.0ms
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
41.0ms
(* (pow (/ 1 (* (pow k (/ 2.0 2)) (* (pow k (/ 2.0 2)) (pow t 1.0)))) 1.0) (/ (* (cos k) (pow l 2)) (pow (sin k) 2)))
Rules
40917×add-exp-log
29869×prod-exp
21885×pow-exp
15840×div-exp
11047×pow-to-exp
3703×add-sqr-sqrt
3619×1-exp rec-exp
3142×*-un-lft-identity
3071×times-frac
2819×add-cbrt-cube
2577×add-cube-cbrt
1249×cbrt-unprod
1243×pow1
1070×sqrt-prod
1045×associate-*r*
944×associate-*l*
925×unpow-prod-down
564×add-log-exp
559×associate-*r/
496×cbrt-undiv
420×pow-prod-down
397×sqrt-div
377×unswap-sqr
335×associate-/r*
325×associate-/l*
319×cbrt-prod
310×associate-*l/
303×frac-times
295×pow-unpow
266×sqr-pow
252×distribute-lft-out
251×flip-- flip3--
241×div-inv
169×flip-+ flip3-+
157×*-commutative
142×associate-/r/
117×difference-of-squares
101×clear-num frac-2neg
83×sqrt-pow1
81×tan-quot
75×distribute-rgt-neg-in
73×distribute-rgt-in distribute-lft-in unpow2
66×frac-sub
64×rem-sqrt-square
62×sub-neg
60×pow1/2
58×distribute-lft-out--
50×cube-prod sum-log
46×pow-pow
45×cbrt-div
44×log-prod
39×distribute-lft-neg-in
38×pow1/3
37×associate--l+
32×associate-/l/
31×+-commutative
23×exp-sum
21×diff-log
20×frac-add
19×swap-sqr
18×pow-flip
17×div-sub
16×associate-+r+
15×log-pow exp-prod
14×pow-neg
12×pow-sub neg-sub0
10×unpow3 inv-pow cube-mult
cube-div
un-div-inv pow-prod-up pow-sqr rem-log-exp
cos-sum associate-+r- log-div
rem-cbrt-cube
exp-diff associate-+l+ pow-plus asin-acos
rem-cube-cbrt cos-diff unsub-neg acos-asin neg-mul-1 pow2
rem-exp-log exp-to-pow
sqrt-undiv sin-mult associate--r- mul0

localize2.1s (0.8%)

bsearch1.4s (0.5%)

end0.0ms (0.0%)

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