Date:Wednesday, June 17th, 2020
Commit:fb53a5c5 on ival-find-range
Hostname:warfa with Racket 7.5
Seed:2020169
Parameters:256 points for 4 iterations
Flags:
setup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

analyze3.1min (50.5%)

Algorithm
73×search
sampling

Space saved by range analysis: 31.500786%

Space saved by search: 45.683604%

Guaranteed chance to sample good point: 75.292657%

sample1.8min (29.0%)

Algorithm
73×intervals
Results
43.2s37801×body1280valid
14.9s2198×body5120exit
13.5s26153×body640valid
7.3s158008×body80valid
5.2s21828×body320valid
3.6s1308×body1280overflowed
3.4s30941×body160valid
2.8s109945×pre80true
1.9s10218×body80overflowed
1.4s1020×body640overflowed
614.0ms3148×body2560nan
502.0ms621×body320overflowed
415.0ms2635×body1280nan
245.0ms3785×body80invalid
238.0ms481×body640invalid
217.0ms294×body1280invalid
186.0ms3972×body80nan
171.0ms1324×body640nan
112.0ms259×body160overflowed
78.0ms92×body2560valid
78.0ms225×body320invalid
67.0ms675×body320nan
24.0ms302×body160nan
23.0ms103×body160invalid
10.0msbody5120valid
1.0ms55×pre80false

prune29.3s (7.9%)

Filtered
16257 candidates to 10372 candidates (36.2%)

regimes15.9s (4.3%)

Accuracy

Total 14.7b remaining (19.8%)

Threshold costs 7.2b (9.7%)

3.7b72.3%Equirectangular approximation to distance on a great circle
2.7b73%Quotient of products
1.1b0%2-ancestry mixing, zero discriminant
0.8b0%Logistic regression 2
0.8b0%(- (/ x0 (- 1 x1)) x0)

simplify14.2s (3.8%)

Algorithm
216×egg-herbie

series9.3s (2.5%)

Calls

497 calls:

288.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))
207.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))
182.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))
158.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2.0)) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))
143.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite5.2s (1.4%)

Algorithm
143×rewrite-expression-head
Calls

497 calls:

68.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5))))
68.0ms
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5)))))
56.0ms
(* (/ (* 3.0 a) (/ 3.0 c)) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
54.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
51.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
Rules
5696×*-un-lft-identity
5447×add-sqr-sqrt
5211×times-frac
3317×add-cube-cbrt
2893×add-exp-log
1852×add-cbrt-cube
1294×pow1
1281×associate-*r*
1105×sqrt-prod
999×flip--
998×flip3--
961×prod-exp
905×associate-*l/
891×div-exp
818×add-log-exp
785×difference-of-squares
709×associate-*l*
691×frac-times
671×distribute-lft-out--
642×unpow-prod-down
641×associate-/l*
581×sqrt-div
530×frac-add
509×associate-/r*
475×distribute-lft-out
456×associate-*r/
447×cbrt-unprod
436×cbrt-undiv
433×cbrt-prod
388×cube-prod
382×pow-exp
342×associate-/r/
283×div-inv
279×pow-to-exp
268×pow-prod-down
256×unswap-sqr
250×distribute-rgt-neg-in
233×flip-+
232×flip3-+
212×sqr-pow
201×log-prod
179×swap-sqr
127×associate-/l/
117×clear-num *-commutative frac-2neg
114×sub-neg
108×pow-prod-up
100×cbrt-div diff-log
97×log-div
82×cos-mult
76×pow-sqr exp-prod
74×sum-log log-pow
71×exp-diff
62×cube-mult unpow3
59×frac-sub
58×pow1/3
57×distribute-lft-neg-in
56×sqrt-pow1 pow-plus pow1/2
52×unpow2
45×+-commutative
44×pow2 distribute-rgt-in distribute-lft-in
42×div-sub
38×1-exp
36×pow-unpow
33×rem-sqrt-square
29×neg-sub0
28×associate-+r+ rec-exp
27×associate--l+
26×tan-quot
20×rem-log-exp pow-pow sin-mult
19×neg-mul-1
18×neg-log associate-+l-
17×distribute-rgt-out
16×cube-div sin-diff
15×cos-sum un-div-inv
14×associate--l- exp-sum cos-diff associate-+l+ rem-cube-cbrt
11×sin-cos-mult
10×acos-asin
rem-cbrt-cube associate--r+ rem-exp-log
associate-+r- sin-sum distribute-frac-neg pow-flip
inv-pow asin-acos
acos-neg distribute-lft1-in sqrt-unprod associate--r-
difference-cubes rem-square-sqrt exp-to-pow distribute-rgt-neg-out
tanh-undef sqr-cos unsub-neg tanh-def pow-sub

localize2.2s (0.6%)

bsearch10.0ms (0.0%)

end1.0ms (0.0%)

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