Date:Friday, May 29th, 2020
Commit:30d0df99 on master
Hostname:warfa with Racket 7.5
Seed:2020150
Parameters:256 points for 4 iterations
Flags:
setup:simplifyrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifyreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionsprecision:doubleprecision:fallback
default

Details

sample2.0m (51.4%)

Algorithm
78×intervals
Results
41.7s44030×body1280valid
14.0s30616×body640valid
12.0s1718×body5120exit
9.0s204488×body80valid
6.8s153398×body80nan
6.0s27326×body320valid
4.5s35551×body80overflowed
4.3s180467×pre80true
4.1s35974×body160valid
982.0ms2999×body2560valid
599.0ms3128×body2560nan
395.0ms2514×body1280nan
344.0ms16198×pre80false
159.0ms1251×body640nan
125.0ms239×body5120valid
61.0ms640×body320nan
23.0ms329×body160nan
2.0msbody320overflowed
1.0msbody640overflowed
1.0msbody160overflowed

prune1.2m (29.4%)

Filtered
21928 candidates to 13218 candidates (39.7%)

regimes14.1s (5.9%)

Accuracy

Total 20.5b remaining (16.8%)

Threshold costs 6.3b (5.2%)

4.8b83.2%Cubic critical
3.8b72.8%Equirectangular approximation to distance on a great circle
3.3b69.8%Quotient of products
1.1b0%2-ancestry mixing, zero discriminant
1.1b95.6%Quadratic roots, full range

simplify13.7s (5.7%)

Algorithm
223×egg-herbie

series9.5s (4.0%)

Calls

503 calls:

265.0ms
(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (/ (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))))
218.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (pow (/ 1.0 (+ 1.0 (exp (neg t)))) (* (cbrt c_p) (cbrt c_p))) (cbrt c_p)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))
187.0ms
(cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2))))
183.0ms
(cbrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (* (* (cbrt (cos (/ (+ phi1 phi2) 2.0))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))) (cbrt (cos (/ (+ phi1 phi2) 2.0)))))) (* (- phi1 phi2) (- phi1 phi2))))
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)))

rewrite6.1s (2.6%)

Algorithm
145×rewrite-expression-head
Calls

503 calls:

166.0ms
(/ (/ (/ 1 (/ 2.0 4.0)) (/ 1 c)) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
114.0ms
(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (/ (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))))
113.0ms
(* (+ (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)) (/ (- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3)) (+ (+ (/ x0 (- 1.0 x1)) x0) (* (sqrt (/ x0 (- 1.0 x1))) (sqrt x0)))))
55.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))
50.0ms
(- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3))
Rules
25832×times-frac
15544×add-sqr-sqrt
15053×*-un-lft-identity
10805×add-cube-cbrt
4743×add-exp-log
2079×difference-of-squares
1965×prod-exp
1852×add-cbrt-cube
1781×div-exp
1753×distribute-lft-out--
1654×sqrt-prod
1634×associate-*r*
1355×pow-exp
1206×associate-/l*
1180×div-inv
1088×pow1
1018×associate-*l/
980×flip--
979×flip3--
932×unpow-prod-down
895×pow-to-exp
806×add-log-exp
751×distribute-rgt-neg-in
631×cube-prod
611×frac-times
535×associate-*l*
521×associate-/r*
481×cbrt-div
467×frac-add
451×cbrt-unprod associate-*r/
415×cbrt-undiv
397×associate-/r/
378×cbrt-prod
358×distribute-lft-out
294×sqr-pow
253×unswap-sqr
239×flip-+
238×pow-prod-down flip3-+
236×sqrt-div
158×log-prod
156×swap-sqr
130×sub-neg
122×*-commutative
118×exp-prod
113×clear-num frac-2neg
112×log-pow
105×associate-/l/ log-div
93×diff-log
86×frac-sub
78×1-exp
73×unpow3 cube-mult
72×rec-exp
70×exp-diff
68×sum-log
65×pow1/3
62×sqrt-pow1
56×pow1/2
53×distribute-rgt-in distribute-lft-in
42×+-commutative div-sub
37×pow-unpow
33×rem-sqrt-square
32×unpow2
30×pow-prod-up neg-sub0
26×pow-sqr
25×tan-quot associate--l+
22×cos-diff neg-log
20×associate-+l- rem-log-exp
18×associate-+r+ cos-sum
16×associate--l- pow-plus sin-diff
15×cube-div sin-mult exp-sum pow2
14×rem-cube-cbrt pow-pow
13×cos-mult associate--r+
12×distribute-rgt-out
10×sin-cos-mult rem-exp-log
associate-+r- acos-asin
difference-cubes associate-+l+ pow-flip
inv-pow sin-sum
associate--r-
acos-neg distribute-frac-neg rem-cbrt-cube
sqrt-unprod exp-to-pow
un-div-inv distribute-lft1-in rem-square-sqrt asin-acos
tanh-undef tanh-def

localize2.2s (0.9%)

bsearch295.0ms (0.1%)

end1.0ms (0.0%)

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