Date:Thursday, July 2nd, 2020
Commit:4348ca69 on movability-off
Hostname:warfa with Racket 7.5
Seed:2020184
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

sample4.3min (79.1%)

Algorithm
78×intervals
Results
2.5min24543×body5120exit
43.6s43738×body1280valid
14.1s30257×body640valid
8.8s202845×body80valid
6.7s152093×body80nan
5.9s27668×body320valid
4.1s36144×body160valid
4.0s165223×pre80true
948.0ms3040×body2560valid
588.0ms3122×body2560nan
382.0ms2496×body1280nan
355.0ms16394×pre80false
149.0ms1236×body640nan
80.0ms224×body5120valid
58.0ms635×body320nan
19.0ms301×body160nan

prune28.5s (8.8%)

Filtered
15595 candidates to 10173 candidates (34.8%)

regimes12.6s (3.9%)

Accuracy

Total 22.9b remaining (20.7%)

Threshold costs 6.2b (5.6%)

9.4b36.7%Equirectangular approximation to distance on a great circle
2.4b78.3%Quotient of products
1.4b94.3%Cubic critical
1.3b94.6%Quadratic roots, full range
1.2b64.7%2-ancestry mixing, positive discriminant

simplify10.7s (3.3%)

Algorithm
224×egg-herbie

series8.8s (2.7%)

Calls

511 calls:

167.0ms
(/ (* (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)))
141.0ms
(sqrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2.0)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (* (- phi1 phi2) (- phi1 phi2))))
141.0ms
(sqrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2.0)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (* (- phi1 phi2) (- phi1 phi2))))
139.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))
136.0ms
(sqrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2.0)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (* (- phi1 phi2) (- phi1 phi2))))

rewrite4.7s (1.4%)

Algorithm
146×rewrite-expression-head
Calls

511 calls:

112.0ms
(- (pow (pow (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 3) 3) (pow (pow 1.0 3) 3))
59.0ms
(- (cbrt (pow (/ x (+ x 1.0)) 3)) (/ (+ x 1.0) (- x 1.0)))
56.0ms
(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))
52.0ms
(/ (- (pow (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 6) (pow 1.0 6)) (+ (pow (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 3) (pow 1.0 3)))
44.0ms
(* (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))
Rules
4935×*-un-lft-identity
4931×add-sqr-sqrt
4172×times-frac
3000×add-cube-cbrt
2357×add-exp-log
1569×add-cbrt-cube
1108×pow1
1094×unpow-prod-down
1038×flip--
1037×flip3--
824×associate-*l/
805×difference-of-squares
790×add-log-exp
760×prod-exp
746×cube-prod
701×frac-times
687×associate-*r/
635×associate-*r*
611×div-exp
610×sqrt-prod
595×associate-*l*
560×sqrt-div
549×associate-/l*
515×distribute-lft-out
477×frac-add
476×associate-/r*
451×distribute-lft-out--
438×cbrt-prod
365×cbrt-unprod
319×pow-exp
298×cbrt-undiv
296×cbrt-div
294×div-inv
281×sqr-pow
276×log-prod
246×associate-/r/
243×flip-+
242×flip3-+ pow-prod-down
239×exp-prod
224×pow-to-exp
176×unswap-sqr
119×sub-neg
114×*-commutative
111×associate-/l/
108×clear-num frac-2neg
99×distribute-rgt-neg-in
93×log-pow
82×diff-log
75×pow-unpow pow-pow
74×sqrt-pow1
68×sum-log
63×distribute-rgt-in distribute-lft-in
61×frac-sub div-sub
59×log-div
55×swap-sqr associate--l+
54×pow1/3
52×associate--r+
51×+-commutative pow1/2
37×rem-sqrt-square
36×associate-+r+
31×rem-log-exp
29×1-exp tan-quot
28×cube-mult unpow3
27×cube-div
26×rec-exp
24×pow-prod-up
22×distribute-frac-neg pow-sqr
20×cos-diff sin-diff pow-flip rem-cube-cbrt
18×associate--l- sum-cubes sin-mult
17×neg-sub0 associate--r-
15×cos-sum
14×pow-plus
13×sub0-neg
12×pow2
11×distribute-rgt-out neg-log
acos-asin
inv-pow associate-+l- unpow2
rem-cbrt-cube
exp-sum distribute-lft-neg-in difference-cubes associate-+r-
sin-cos-mult sin-sum asin-acos rem-exp-log
acos-neg unpow-prod-up exp-diff
sub-div cos-mult un-div-inv pow-sub
exp-neg neg-mul-1 sqrt-unprod distribute-rgt-out--
tanh-undef e-exp-1 associate-+l+ sqrt-undiv rem-square-sqrt tanh-def

localize2.2s (0.7%)

bsearch473.0ms (0.1%)

end1.0ms (0.0%)

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