23.031 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.028 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.031 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.034 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.036 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.036 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.051 * * * [progress]: generating series expansions 0.051 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.052 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.052 * [taylor]: Taking taylor expansion of 0.5 in y 0.052 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.052 * [taylor]: Taking taylor expansion of (+ x y) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (* x y) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.052 * [taylor]: Taking taylor expansion of 0.5 in x 0.052 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.052 * [taylor]: Taking taylor expansion of (+ x y) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (* x y) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.053 * [taylor]: Taking taylor expansion of 0.5 in x 0.053 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.053 * [taylor]: Taking taylor expansion of (+ x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (* x y) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of 0.5 in y 0.055 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of 0.5 in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.064 * [taylor]: Taking taylor expansion of 0.5 in y 0.064 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (* y x) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.064 * [taylor]: Taking taylor expansion of 0.5 in x 0.064 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* y x) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.065 * [taylor]: Taking taylor expansion of 0.5 in x 0.065 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* y x) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.070 * [taylor]: Taking taylor expansion of 0.5 in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.072 * [taylor]: Taking taylor expansion of 0.5 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.083 * [taylor]: Taking taylor expansion of -0.5 in y 0.083 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of (* y x) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of x in y 0.084 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.084 * [taylor]: Taking taylor expansion of -0.5 in x 0.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (* y x) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.084 * [taylor]: Taking taylor expansion of -0.5 in x 0.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* y x) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.087 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.087 * [taylor]: Taking taylor expansion of 0.5 in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.089 * [taylor]: Taking taylor expansion of 0.5 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * * * [progress]: simplifying candidates 0.102 * [simplify]: Simplifying using # : (- (log (+ x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (+ x y)) (+ (log (* x 2.0)) (log y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (* (* (/ (+ x y) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y))) (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (* x 2.0) y) (+ (* x x) (- (* y y) (* x y)))) (* (* (* x 2.0) y) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.106 * * [simplify]: iteration 0 : 220 enodes (cost 188 ) 0.110 * * [simplify]: iteration 1 : 940 enodes (cost 152 ) 0.129 * * [simplify]: iteration 2 : 5001 enodes (cost 152 ) 0.130 * [simplify]: Simplified to: (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (+ (* y (- y x)) (* x x)) (* (* x 2.0) y)) (* (* (* x 2.0) y) (- x y)) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) (* 0.5 (+ (/ 1 y) (/ 1 x))) 0.130 * * * [progress]: adding candidates to table 0.173 * * [progress]: iteration 2 / 4 0.173 * * * [progress]: picking best candidate 0.174 * * * * [pick]: Picked # 0.174 * * * [progress]: localizing error 0.179 * * * [progress]: generating rewritten candidates 0.179 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.192 * * * [progress]: generating series expansions 0.192 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.192 * [approximate]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in (y x) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of 1 in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of 0 in x 0.196 * [taylor]: Taking taylor expansion of 0 in x 0.197 * [taylor]: Taking taylor expansion of 0 in x 0.198 * [approximate]: Taking taylor expansion of (+ x y) in (y x) around 0 0.198 * [taylor]: Taking taylor expansion of (+ x y) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [taylor]: Taking taylor expansion of (+ x y) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (+ x y) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of 1 in x 0.198 * [taylor]: Taking taylor expansion of 0 in x 0.199 * [taylor]: Taking taylor expansion of 0 in x 0.199 * [approximate]: Taking taylor expansion of (- (+ x y)) in (y x) around 0 0.199 * [taylor]: Taking taylor expansion of (- (+ x y)) in x 0.199 * [taylor]: Taking taylor expansion of (+ x y) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (- (+ x y)) in y 0.199 * [taylor]: Taking taylor expansion of (+ x y) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (- (+ x y)) in y 0.199 * [taylor]: Taking taylor expansion of (+ x y) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (- x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of -1 in x 0.201 * [taylor]: Taking taylor expansion of 0 in x 0.201 * [taylor]: Taking taylor expansion of 0 in x 0.202 * * * [progress]: simplifying candidates 0.202 * [simplify]: Simplifying using # : (* (exp (/ 1 y)) (exp (/ 1 x))) (log (+ (/ 1 y) (/ 1 x))) (exp (+ (/ 1 y) (/ 1 x))) (* (cbrt (+ (/ 1 y) (/ 1 x))) (cbrt (+ (/ 1 y) (/ 1 x)))) (cbrt (+ (/ 1 y) (/ 1 x))) (* (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 y) (/ 1 x))) (sqrt (+ (/ 1 y) (/ 1 x))) (sqrt (+ (/ 1 y) (/ 1 x))) (+ (* 1 x) (* y 1)) (* y x) (+ (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (+ (* (/ 1 y) (/ 1 y)) (- (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 x)))) (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) (- (/ 1 y) (/ 1 x)) (+ (/ (cbrt 1) y) (/ (cbrt 1) x)) (+ (/ (sqrt 1) y) (/ (sqrt 1) x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) 0.205 * * [simplify]: iteration 0 : 101 enodes (cost 104 ) 0.208 * * [simplify]: iteration 1 : 345 enodes (cost 94 ) 0.214 * * [simplify]: iteration 2 : 1153 enodes (cost 91 ) 0.232 * * [simplify]: iteration 3 : 2775 enodes (cost 90 ) 0.272 * * [simplify]: iteration 4 : 5001 enodes (cost 90 ) 0.273 * [simplify]: Simplified to: (exp (+ (/ 1 y) (/ 1 x))) (log (+ (/ 1 y) (/ 1 x))) (exp (+ (/ 1 y) (/ 1 x))) (* (cbrt (+ (/ 1 y) (/ 1 x))) (cbrt (+ (/ 1 y) (/ 1 x)))) (cbrt (+ (/ 1 y) (/ 1 x))) (pow (+ (/ 1 y) (/ 1 x)) 3) (sqrt (+ (/ 1 y) (/ 1 x))) (sqrt (+ (/ 1 y) (/ 1 x))) (+ y x) (* y x) (+ (pow (/ 1 y) 3) (pow (/ 1 x) 3)) (+ (/ (- (/ 1 y) (/ 1 x)) y) (/ (/ 1 x) x)) (+ (/ (- (/ 1 x)) x) (/ (/ 1 y) y)) (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)) 0.273 * * * [progress]: adding candidates to table 0.300 * [progress]: [Phase 3 of 3] Extracting. 0.300 * * [regime]: Finding splitpoints for: (# #) 0.300 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (* (* x 2.0) y)) y x) 0.300 * * * * [regimes]: Trying to branch on (/ (+ x y) (* (* x 2.0) y)) from (# #) 0.310 * * * * [regimes]: Trying to branch on y from (# #) 0.320 * * * * [regimes]: Trying to branch on x from (# #) 0.332 * * * [regime]: Found split indices: #