Date:Thursday, June 11th, 2020
Commit:ff1367c2 on ival-find-range
Hostname:warfa with Racket 7.5
Seed:2020163
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

sample11.3min (90.5%)

Algorithm
78×intervals
Results
1.3min11720×body5120exit
43.4s43434×body1280valid
15.8s6340×body1280overflowed
14.5s30218×body640valid
8.7s179594×body80valid
7.6s5775×body640overflowed
6.1s27359×body320valid
4.3s36009×body160valid
3.5s140259×pre80true
2.6s3049×body320overflowed
2.4s12142×body80overflowed
1.0s2915×body2560valid
620.0ms3044×body2560nan
583.0ms1372×body160overflowed
418.0ms2577×body1280nan
306.0ms4527×body80invalid
288.0ms5281×body80nan
239.0ms467×body640invalid
210.0ms293×body1280invalid
175.0ms1328×body640nan
133.0ms243×body5120valid
80.0ms241×body320invalid
63.0ms624×body320nan
27.0ms120×body160invalid
22.0ms322×body160nan
1.0ms64×pre80false
sampling

Space saved by range analysis: 29.432013%

Space saved by search: 44.383765%

Guaranteed chance to sample good point: 76.015198%

prune26.2s (3.5%)

Filtered
15521 candidates to 10021 candidates (35.4%)

regimes15.1s (2.0%)

Accuracy

Total 20.9b remaining (18.7%)

Threshold costs 7.3b (6.5%)

5.8b47.3%Quotient of products
3.5b74%Equirectangular approximation to distance on a great circle
1.6b93.2%Cubic critical
1.6b93.5%Quadratic roots, full range
1.2b0%2-ancestry mixing, zero discriminant

simplify13.3s (1.8%)

Algorithm
222×egg-herbie

series8.7s (1.2%)

Calls

499 calls:

201.0ms
(/ (* (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)))
192.0ms
(/ (* (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 (- (+ (* 0.020833333333333336 (pow t 3)) 0.5) (* 0.25 t)) c_n)))
191.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c)))))))
175.0ms
(/ (* (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)))
134.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi1 phi2) 2.0))))) (* (- lambda1 lambda2) (log (exp (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite5.0s (0.7%)

Algorithm
144×rewrite-expression-head
Calls

499 calls:

73.0ms
(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5))))
72.0ms
(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5)))))
54.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
53.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
51.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
Rules
5014×*-un-lft-identity
4969×add-sqr-sqrt
4573×times-frac
3377×add-exp-log
2975×add-cube-cbrt
1859×add-cbrt-cube
1225×prod-exp
1160×associate-*r*
1127×div-exp
999×pow1
794×add-log-exp
790×flip--
789×flip3--
746×associate-*l/
745×difference-of-squares
741×sqrt-prod
674×associate-/l*
627×distribute-lft-out--
622×pow-exp
542×unpow-prod-down
521×associate-/r*
498×associate-*l*
446×cbrt-undiv
441×pow-to-exp
434×frac-times
428×cbrt-unprod
418×sqrt-div
378×distribute-lft-out
341×frac-add
334×cube-prod
327×associate-*r/
316×associate-/r/
303×div-inv
216×distribute-rgt-neg-in
206×log-prod
198×unswap-sqr
194×flip-+
193×flip3-+
186×cbrt-prod
185×pow-prod-down
146×sqr-pow
130×sub-neg
124×clear-num frac-2neg
108×swap-sqr *-commutative
101×associate-/l/
100×diff-log
96×log-pow
90×cbrt-div
80×exp-prod
59×sqrt-pow1
58×sum-log
53×pow1/2
52×frac-sub
50×cube-mult unpow3
47×distribute-rgt-in distribute-lft-in div-sub
45×pow-unpow associate-+l+
43×log-div
38×+-commutative rem-sqrt-square associate-+r+
37×1-exp
35×pow1/3 rec-exp
27×neg-sub0
26×unpow2
24×distribute-lft-neg-in
23×rem-log-exp pow-pow
22×cube-div associate-+l-
20×tan-quot
19×distribute-rgt-out sin-cos-mult
18×sin-diff pow-prod-up
17×associate--l- cos-diff associate-+r- neg-log
16×associate--l+ pow-sqr sin-mult
14×rem-cube-cbrt
12×cos-sum
11×pow-plus pow-flip
10×pow2 distribute-frac-neg
acos-asin
neg-mul-1 inv-pow cos-mult
sum-cubes
distribute-lft-neg-out exp-sum
acos-neg sin-sum associate--r+ rem-exp-log
unsub-neg un-div-inv
distribute-rgt-neg-out rem-cbrt-cube
difference-cubes distribute-lft1-in exp-to-pow sqrt-unprod associate--r- asin-acos distribute-rgt-out-- exp-diff
tanh-undef sqrt-undiv rem-square-sqrt log-rec tanh-def

localize2.2s (0.3%)

bsearch560.0ms (0.1%)

end1.0ms (0.0%)

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