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

sample1.8m (42.8%)

Algorithm
78×intervals
Results
35.7s44271×body1280valid
13.0s1915×body5120exit
11.8s30375×body640valid
8.2s204260×body80valid
6.3s153617×body80nan
5.1s27400×body320valid
4.3s182938×pre80true
4.3s37625×body80overflowed
3.6s35973×body160valid
880.0ms2942×body2560valid
549.0ms3097×body2560nan
365.0ms2448×body1280nan
356.0ms16691×pre80false
151.0ms1244×body640nan
95.0ms221×body5120valid
59.0ms647×body320nan
20.0ms326×body160nan
4.0msbody640overflowed
3.0msbody320overflowed
1.0msbody160overflowed

prune1.1m (25.9%)

Filtered
18469 candidates to 12615 candidates (68.3%)

series44.1s (17.6%)

Calls

515 calls:

774.0ms
(/ (* (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)))
717.0ms
(/ (* (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)))
419.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))
419.0ms
(sqrt (+ (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (* (cos (/ (+ phi1 phi2) 2.0)) (cos (/ (+ phi1 phi2) 2.0)))) (* (- phi1 phi2) (- phi1 phi2))))
411.0ms
(sqrt (+ (* (- lambda1 lambda2) (* (cos (/ (+ phi1 phi2) 2.0)) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2.0))))) (* (- phi1 phi2) (- phi1 phi2))))

simplify15.3s (6.1%)

Algorithm
225×egg-herbie

regimes9.5s (3.8%)

Accuracy

Total 24.3b remaining (19.3%)

Threshold costs 8.5b (6.7%)

6.1b47.1%Quotient of products
3.4b75.2%Equirectangular approximation to distance on a great circle
3.4b87.7%Quadratic roots, full range
1.6b0%Logistic regression 2
1.3b94.5%Cubic critical

rewrite6.4s (2.6%)

Algorithm
147×rewrite-expression-head
Calls

515 calls:

127.0ms
(- (* x (* (* (cbrt (- x 1.0)) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (- x 1.0))) (* (+ x 1.0) (* (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (cbrt (+ x 1.0)))))
74.0ms
(* (cbrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))) (cbrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))))
55.0ms
(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))
52.0ms
(- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3))
52.0ms
(- (pow (sqrt (/ x0 (- 1.0 x1))) 3) (pow (sqrt x0) 3))
Rules
7220×cbrt-div
6583×*-un-lft-identity
6427×times-frac
6298×frac-times
5854×add-sqr-sqrt
4395×associate-*r/
3668×add-cube-cbrt
3033×flip-+
3032×flip3-+
2950×flip--
2949×flip3--
2852×associate-*l/
2658×add-exp-log
2124×frac-sub
1726×add-cbrt-cube
1360×sqrt-prod
1052×pow1
981×distribute-lft-out--
959×associate-*r*
859×difference-of-squares
855×prod-exp
835×add-log-exp
765×div-exp
708×associate-/l*
614×associate-/r*
510×unpow-prod-down
490×cbrt-prod
452×associate-*l*
450×distribute-lft-out
428×sqrt-div
386×cbrt-unprod
377×div-inv
372×cbrt-undiv
360×pow-exp
345×frac-add
344×log-prod
329×cube-prod
289×associate-/r/
266×pow-to-exp
223×pow-prod-down distribute-rgt-neg-in
201×unswap-sqr
149×sqr-pow
144×sub-neg
126×associate-/l/
124×log-pow
121×clear-num frac-2neg
119×*-commutative
111×diff-log
105×swap-sqr
77×cos-mult
72×exp-prod
69×distribute-rgt-in distribute-lft-in
66×sum-log
65×associate-+r+
52×div-sub
49×pow1/3
48×unpow3 cube-mult sqrt-pow1
44×log-div
40×+-commutative
39×pow-unpow unpow2
36×pow1/2
32×rem-log-exp
30×rem-sqrt-square associate-+l-
29×neg-sub0 associate--l+
27×associate--r+
25×associate-+l+ 1-exp
23×sin-sum cos-diff rec-exp
22×neg-log
20×acos-asin tan-quot
19×associate--l-
18×sin-diff
17×cos-sum
15×distribute-rgt-out sin-mult pow-pow
14×pow-sqr pow-prod-up
10×sin-cos-mult pow-plus
associate-+r- pow2 exp-sum
cube-div distribute-frac-neg associate--r-
exp-diff rem-cube-cbrt
rem-cbrt-cube
acos-neg un-div-inv inv-pow pow-flip tanh-def
rem-exp-log distribute-lft1-in distribute-rgt-neg-out
difference-cubes asin-acos exp-to-pow
sqrt-pow2 sum-cubes sqrt-unprod unsub-neg cos-acos tanh-undef sqr-cos

localize2.3s (0.9%)

bsearch722.0ms (0.3%)

end1.0ms (0.0%)

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