15.282 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (/ (* (* x 2.0) y) (- x y)) 0.026 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.028 * * [simplify]: iteration 1 : 36 enodes (cost 4 ) 0.029 * * [simplify]: iteration 2 : 73 enodes (cost 4 ) 0.031 * * [simplify]: iteration 3 : 127 enodes (cost 4 ) 0.033 * * [simplify]: iteration 4 : 167 enodes (cost 4 ) 0.035 * * [simplify]: iteration 5 : 185 enodes (cost 4 ) 0.037 * * [simplify]: iteration 6 : 187 enodes (cost 4 ) 0.040 * * [simplify]: iteration 7 : 187 enodes (cost 4 ) 0.040 * [simplify]: Simplified to: (/ (* (* x 2.0) y) (- x y)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.062 * * * [progress]: generating series expansions 0.062 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.062 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.062 * [taylor]: Taking taylor expansion of 2.0 in y 0.062 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.062 * [taylor]: Taking taylor expansion of (* x y) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (- x y) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.063 * [taylor]: Taking taylor expansion of 2.0 in x 0.063 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.063 * [taylor]: Taking taylor expansion of (* x y) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (- x y) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.064 * [taylor]: Taking taylor expansion of 2.0 in x 0.064 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (- x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of -2.0 in y 0.066 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.066 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.066 * [taylor]: Taking taylor expansion of 2.0 in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.070 * [taylor]: Taking taylor expansion of 2.0 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.075 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.076 * [taylor]: Taking taylor expansion of 2.0 in y 0.076 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.076 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (* x y) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.078 * [taylor]: Taking taylor expansion of 2.0 in x 0.078 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (* x y) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.079 * [taylor]: Taking taylor expansion of 2.0 in x 0.080 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (* x y) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.081 * [taylor]: Taking taylor expansion of 2.0 in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.084 * [taylor]: Taking taylor expansion of 2.0 in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.091 * [taylor]: Taking taylor expansion of 2.0 in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.091 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.098 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.098 * [taylor]: Taking taylor expansion of 2.0 in y 0.098 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.100 * [taylor]: Taking taylor expansion of 2.0 in x 0.100 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.102 * [taylor]: Taking taylor expansion of 2.0 in x 0.102 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.105 * [taylor]: Taking taylor expansion of -2.0 in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.107 * [taylor]: Taking taylor expansion of 2.0 in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.113 * [taylor]: Taking taylor expansion of 2.0 in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.113 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.121 * * * [progress]: simplifying candidates 0.122 * [simplify]: Simplifying using # : (expm1 (/ (* (* x 2.0) y) (- x y))) (log1p (/ (* (* x 2.0) y) (- 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))) (log (/ (* (* x 2.0) y) (- x y))) (exp (/ (* (* x 2.0) 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)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (* (* x 2.0) y) (- x y))) (cbrt (/ (* (* x 2.0) y) (- x y)))) (cbrt (/ (* (* x 2.0) y) (- x y))) (* (* (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- x y))) (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (- (* (* x 2.0) y)) (- (- x y)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ y (sqrt (- x y))) (/ (* x 2.0) 1) (/ y (- x y)) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (/ (* x 2.0) 1) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) 1) (/ (* (* x 2.0) y) (+ (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) 1) (/ (- x y) y) (/ (* (* x 2.0) y) (- (pow x 3) (pow y 3))) (/ (* (* x 2.0) y) (- (* x x) (* y y))) 0 0 0 0.129 * * [simplify]: iteration 0 : 214 enodes (cost 194 ) 0.134 * * [simplify]: iteration 1 : 1150 enodes (cost 161 ) 0.155 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.157 * [simplify]: Simplified to: (expm1 (/ (* (* x 2.0) y) (- x y))) (log1p (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (exp (/ (* (* x 2.0) y) (- x y))) (pow (/ (* (* x 2.0) y) (- x y)) 3) (pow (/ (* (* x 2.0) y) (- x y)) 3) (pow (/ (* (* x 2.0) y) (- x y)) 3) (* (cbrt (/ (* (* x 2.0) y) (- x y))) (cbrt (/ (* (* x 2.0) y) (- x y)))) (cbrt (/ (* (* x 2.0) y) (- x y))) (pow (/ (* (* x 2.0) y) (- x y)) 3) (sqrt (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (- (* (* x 2.0) y)) (- (- x y)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ y (sqrt (- x y))) (* x 2.0) (/ y (- x y)) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (* x 2.0) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (* x 2.0) y) (sqrt (- x y))) (* (* x 2.0) y) (/ (* (* x 2.0) y) (+ (sqrt x) (sqrt y))) (* (* x 2.0) y) (/ (- x y) y) (/ (* (* x 2.0) y) (- (pow x 3) (pow y 3))) (/ (* (* x 2.0) y) (- (* x x) (* y y))) 0 0 0 0.157 * * * [progress]: adding candidates to table 0.206 * * [progress]: iteration 2 / 4 0.206 * * * [progress]: picking best candidate 0.217 * * * * [pick]: Picked # 0.217 * * * [progress]: localizing error 0.223 * * * [progress]: generating rewritten candidates 0.223 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.240 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.249 * * * [progress]: generating series expansions 0.249 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.249 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.249 * [taylor]: Taking taylor expansion of 2.0 in y 0.249 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.249 * [taylor]: Taking taylor expansion of (* x y) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (- x y) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.250 * [taylor]: Taking taylor expansion of 2.0 in x 0.250 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.250 * [taylor]: Taking taylor expansion of (* x y) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (- x y) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.250 * [taylor]: Taking taylor expansion of 2.0 in x 0.250 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.250 * [taylor]: Taking taylor expansion of (* x y) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (- x y) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of -2.0 in y 0.253 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.253 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.253 * [taylor]: Taking taylor expansion of 2.0 in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.256 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.256 * [taylor]: Taking taylor expansion of 2.0 in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.262 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.262 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.262 * [taylor]: Taking taylor expansion of 2.0 in y 0.262 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.262 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (* x y) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.264 * [taylor]: Taking taylor expansion of 2.0 in x 0.264 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (* x y) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.266 * [taylor]: Taking taylor expansion of 2.0 in x 0.266 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.266 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (* x y) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.268 * [taylor]: Taking taylor expansion of 2.0 in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.271 * [taylor]: Taking taylor expansion of 2.0 in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.277 * [taylor]: Taking taylor expansion of 2.0 in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.288 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.288 * [taylor]: Taking taylor expansion of 2.0 in y 0.288 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.290 * [taylor]: Taking taylor expansion of 2.0 in x 0.290 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.292 * [taylor]: Taking taylor expansion of 2.0 in x 0.292 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.294 * [taylor]: Taking taylor expansion of -2.0 in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.297 * [taylor]: Taking taylor expansion of 2.0 in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.303 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.303 * [taylor]: Taking taylor expansion of 2.0 in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.311 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.311 * [approximate]: Taking taylor expansion of (/ y (- x y)) in (y x) around 0 0.311 * [taylor]: Taking taylor expansion of (/ y (- x y)) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of (- x y) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (- x y) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (- x y) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.323 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in (y x) around 0 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in x 0.323 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.323 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.324 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.326 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of -1 in x 0.330 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.338 * [approximate]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in (y x) around 0 0.339 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.339 * [taylor]: Taking taylor expansion of -1 in x 0.339 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.339 * [taylor]: Taking taylor expansion of -1 in y 0.340 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.341 * [taylor]: Taking taylor expansion of -1 in y 0.341 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.343 * [taylor]: Taking taylor expansion of -1 in x 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.353 * * * [progress]: simplifying candidates 0.354 * [simplify]: Simplifying using # : (expm1 (* (* x 2.0) (/ y (- x y)))) (log1p (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y))) (+ (+ (log x) (log 2.0)) (- (log y) (log (- x y)))) (+ (+ (log x) (log 2.0)) (log (/ y (- x y)))) (+ (log (* x 2.0)) (- (log y) (log (- x y)))) (+ (log (* x 2.0)) (log (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (exp (* (* x 2.0) (/ y (- x y)))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y)))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y)))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y)))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y)))) (* (cbrt (* (* x 2.0) (/ y (- x y)))) (cbrt (* (* x 2.0) (/ y (- x y))))) (cbrt (* (* x 2.0) (/ y (- x y)))) (* (* (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y))))) (* (* x 2.0) (sqrt (/ y (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) 1)) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) 1)) (* (* x 2.0) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (sqrt y) (sqrt (- x y)))) (* (* x 2.0) (/ (sqrt y) 1)) (* (* x 2.0) (/ (sqrt y) (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ (sqrt y) 1)) (* (* x 2.0) (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ 1 (sqrt (- x y)))) (* (* x 2.0) (/ 1 1)) (* (* x 2.0) (/ 1 (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ 1 1)) (* (* x 2.0) 1) (* (* x 2.0) y) (* (* x 2.0) (/ y (- (pow x 3) (pow y 3)))) (* (* x 2.0) (/ y (- (* x x) (* y y)))) (* 2.0 (/ y (- x y))) (* (* x 2.0) y) (expm1 (/ y (- x y))) (log1p (/ y (- x y))) (- (log y) (log (- x y))) (log (/ y (- x y))) (exp (/ y (- x y))) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y))) (sqrt (/ y (- x y))) (sqrt (/ y (- x y))) (- y) (- (- x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt y) (cbrt (- x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y))) (/ (cbrt y) (sqrt (- x y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- x y)) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y))) (/ (cbrt y) (- (sqrt x) (sqrt y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- x y)) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt y) (cbrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) 1) (/ (sqrt y) (- x y)) (/ (sqrt y) (+ (sqrt x) (sqrt y))) (/ (sqrt y) (- (sqrt x) (sqrt y))) (/ (sqrt y) 1) (/ (sqrt y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ y (sqrt (- x y))) (/ 1 1) (/ y (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (/ 1 1) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) y) (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) (/ y 1) (/ y (+ (sqrt x) (sqrt y))) (/ y 1) (/ (- x y) (cbrt y)) (/ (- x y) (sqrt y)) (/ (- x y) y) (/ y (- (pow x 3) (pow y 3))) (/ y (- (* x x) (* y y))) 0 0 0 0 0 0 0.362 * * [simplify]: iteration 0 : 315 enodes (cost 451 ) 0.369 * * [simplify]: iteration 1 : 1665 enodes (cost 401 ) 0.398 * * [simplify]: iteration 2 : 5001 enodes (cost 401 ) 0.400 * [simplify]: Simplified to: (expm1 (* (* x 2.0) (/ y (- x y)))) (log1p (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (exp (* (* x 2.0) (/ y (- x y)))) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (* (cbrt (* (* x 2.0) (/ y (- x y)))) (cbrt (* (* x 2.0) (/ y (- x y))))) (cbrt (* (* x 2.0) (/ y (- x y)))) (pow (* (* x 2.0) (/ y (- x y))) 3) (sqrt (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y))))) (* (* x 2.0) (sqrt (/ y (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y)))) (* x (* 2.0 (* (cbrt y) (cbrt y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y)))) (* x (* 2.0 (* (cbrt y) (cbrt y)))) (* (* x 2.0) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (sqrt y) (sqrt (- x y)))) (* x (* 2.0 (sqrt y))) (* (* x 2.0) (/ (sqrt y) (+ (sqrt x) (sqrt y)))) (* x (* 2.0 (sqrt y))) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x 2.0) (sqrt (- x y))) (* x 2.0) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (* x 2.0) (* x 2.0) (* (* x 2.0) y) (* (* x 2.0) (/ y (- (pow x 3) (pow y 3)))) (* (* x 2.0) (/ y (- (* x x) (* y y)))) (* 2.0 (/ y (- x y))) (* (* x 2.0) y) (expm1 (/ y (- x y))) (log1p (/ y (- x y))) (log (/ y (- x y))) (log (/ y (- x y))) (exp (/ y (- x y))) (pow (/ y (- x y)) 3) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))) (pow (/ y (- x y)) 3) (sqrt (/ y (- x y))) (sqrt (/ y (- x y))) (- y) (- (- x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt y) (cbrt (- x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y))) (/ (cbrt y) (sqrt (- x y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y))) (/ (cbrt y) (- (sqrt x) (sqrt y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt y) (cbrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (sqrt y) (/ (sqrt y) (- x y)) (/ (sqrt y) (+ (sqrt x) (sqrt y))) (/ (sqrt y) (- (sqrt x) (sqrt y))) (sqrt y) (/ (sqrt y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ y (sqrt (- x y))) 1 (/ y (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) 1 (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) y) (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) y (/ y (+ (sqrt x) (sqrt y))) y (/ (- x y) (cbrt y)) (/ (- x y) (sqrt y)) (/ (- x y) y) (/ y (- (pow x 3) (pow y 3))) (/ y (- (* x x) (* y y))) 0 0 0 0 0 0 0.401 * * * [progress]: adding candidates to table 0.529 * * [progress]: iteration 3 / 4 0.529 * * * [progress]: picking best candidate 0.538 * * * * [pick]: Picked # 0.538 * * * [progress]: localizing error 0.544 * * * [progress]: generating rewritten candidates 0.544 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.554 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.570 * * * [progress]: generating series expansions 0.570 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.570 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.570 * [taylor]: Taking taylor expansion of 2.0 in y 0.570 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.570 * [taylor]: Taking taylor expansion of (* x y) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (- x y) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.571 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.571 * [taylor]: Taking taylor expansion of 2.0 in x 0.571 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.571 * [taylor]: Taking taylor expansion of (* x y) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (- x y) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.572 * [taylor]: Taking taylor expansion of 2.0 in x 0.572 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.572 * [taylor]: Taking taylor expansion of (* x y) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (- x y) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of -2.0 in y 0.574 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.574 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.574 * [taylor]: Taking taylor expansion of 2.0 in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.578 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.578 * [taylor]: Taking taylor expansion of 2.0 in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.583 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.583 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.583 * [taylor]: Taking taylor expansion of 2.0 in y 0.583 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.583 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of (* x y) in y 0.584 * [taylor]: Taking taylor expansion of x in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.586 * [taylor]: Taking taylor expansion of 2.0 in x 0.586 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.586 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.586 * [taylor]: Taking taylor expansion of y in x 0.586 * [taylor]: Taking taylor expansion of (* x y) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.587 * [taylor]: Taking taylor expansion of 2.0 in x 0.587 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.587 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.588 * [taylor]: Taking taylor expansion of (* x y) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.589 * [taylor]: Taking taylor expansion of 2.0 in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.592 * [taylor]: Taking taylor expansion of 2.0 in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.599 * [taylor]: Taking taylor expansion of 2.0 in y 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.599 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.606 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.606 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.606 * [taylor]: Taking taylor expansion of 2.0 in y 0.607 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.608 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.609 * [taylor]: Taking taylor expansion of 2.0 in x 0.609 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.611 * [taylor]: Taking taylor expansion of 2.0 in x 0.611 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.613 * [taylor]: Taking taylor expansion of -2.0 in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.616 * [taylor]: Taking taylor expansion of 2.0 in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.622 * [taylor]: Taking taylor expansion of 2.0 in y 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.622 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.630 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.630 * [approximate]: Taking taylor expansion of (/ (- x y) y) in (x y) around 0 0.630 * [taylor]: Taking taylor expansion of (/ (- x y) y) in y 0.630 * [taylor]: Taking taylor expansion of (- x y) in y 0.630 * [taylor]: Taking taylor expansion of x in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.630 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 0.631 * [taylor]: Taking taylor expansion of (- x y) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 0.631 * [taylor]: Taking taylor expansion of (- x y) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of -1 in y 0.632 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 0.635 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.635 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.635 * [taylor]: Taking taylor expansion of x in y 0.635 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.635 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.636 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of y in y 0.637 * [taylor]: Taking taylor expansion of (- 1) in y 0.637 * [taylor]: Taking taylor expansion of 1 in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.640 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.643 * [approximate]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.643 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.643 * [taylor]: Taking taylor expansion of -1 in y 0.643 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.644 * [taylor]: Taking taylor expansion of -1 in x 0.644 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.644 * [taylor]: Taking taylor expansion of -1 in x 0.644 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (- 1) in y 0.649 * [taylor]: Taking taylor expansion of 1 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.657 * [taylor]: Taking taylor expansion of 0 in y 0.658 * * * [progress]: simplifying candidates 0.659 * [simplify]: Simplifying using # : (expm1 (/ (* x 2.0) (/ (- x y) y))) (log1p (/ (* x 2.0) (/ (- x y) y))) (- (+ (log x) (log 2.0)) (- (log (- x y)) (log y))) (- (+ (log x) (log 2.0)) (log (/ (- x y) y))) (- (log (* x 2.0)) (- (log (- x y)) (log y))) (- (log (* x 2.0)) (log (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (exp (/ (* x 2.0) (/ (- x y) y))) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y))) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y))) (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y))) (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y))) (* (cbrt (/ (* x 2.0) (/ (- x y) y))) (cbrt (/ (* x 2.0) (/ (- x y) y)))) (cbrt (/ (* x 2.0) (/ (- x y) y))) (* (* (/ (* x 2.0) (/ (- x y) y)) (/ (* x 2.0) (/ (- x y) y))) (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (- (* x 2.0)) (- (/ (- x y) y)) (/ x (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ 2.0 (cbrt (/ (- x y) y))) (/ x (sqrt (/ (- x y) y))) (/ 2.0 (sqrt (/ (- x y) y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (cbrt (- x y)) (cbrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ 2.0 (/ (cbrt (- x y)) (sqrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)) (/ 2.0 (/ (cbrt (- x y)) y)) (/ x (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (sqrt (- x y)) (cbrt y))) (/ x (/ (sqrt (- x y)) (sqrt y))) (/ 2.0 (/ (sqrt (- x y)) (sqrt y))) (/ x (/ (sqrt (- x y)) 1)) (/ 2.0 (/ (sqrt (- x y)) y)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- x y) (cbrt y))) (/ x (/ 1 (sqrt y))) (/ 2.0 (/ (- x y) (sqrt y))) (/ x (/ 1 1)) (/ 2.0 (/ (- x y) y)) (/ x (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (cbrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (sqrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) 1)) (/ 2.0 (/ (- (sqrt x) (sqrt y)) y)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- x y) (cbrt y))) (/ x (/ 1 (sqrt y))) (/ 2.0 (/ (- x y) (sqrt y))) (/ x (/ 1 1)) (/ 2.0 (/ (- x y) y)) (/ x 1) (/ 2.0 (/ (- x y) y)) (/ x (- x y)) (/ 2.0 (/ 1 y)) (/ 1 (/ (- x y) y)) (/ (/ (- x y) y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ (* x 2.0) (sqrt (/ (- x y) y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)) (/ (* x 2.0) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (sqrt y))) (/ (* x 2.0) (/ (sqrt (- x y)) 1)) (/ (* x 2.0) (/ 1 (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ 1 (sqrt y))) (/ (* x 2.0) (/ 1 1)) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) 1)) (/ (* x 2.0) (/ 1 (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ 1 (sqrt y))) (/ (* x 2.0) (/ 1 1)) (/ (* x 2.0) 1) (/ (* x 2.0) (- x y)) (/ (/ (- x y) y) 2.0) (/ (* x 2.0) (- x y)) (expm1 (/ (- x y) y)) (log1p (/ (- x y) y)) (- (log (- x y)) (log y)) (log (/ (- x y) y)) (exp (/ (- x y) y)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y)) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))) (cbrt (/ (- x y) y)) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y)) (sqrt (/ (- x y) y)) (sqrt (/ (- x y) y)) (- (- x y)) (- y) (/ x y) (/ y y) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (- x y)) (cbrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y)) (/ (cbrt (- x y)) (sqrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (- x y)) (cbrt y)) (/ (sqrt (- x y)) (sqrt y)) (/ (sqrt (- x y)) (sqrt y)) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) (/ 1 1) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (- (sqrt x) (sqrt y)) (cbrt y)) (/ (+ (sqrt x) (sqrt y)) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (sqrt y)) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) (/ 1 1) (/ (- x y) y) (/ 1 y) (/ y (- x y)) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (- x y) (sqrt y)) (/ (- x y) 1) (/ y (cbrt (- x y))) (/ y (sqrt (- x y))) (/ y (- x y)) (/ y (- (sqrt x) (sqrt y))) (/ y (- x y)) (* y (+ (* x x) (+ (* y y) (* x y)))) (* y (+ x y)) 0 0 0 (- (/ x y) 1) (- (/ x y) 1) (- (/ x y) 1) 0.665 * * [simplify]: iteration 0 : 392 enodes (cost 620 ) 0.673 * * [simplify]: iteration 1 : 1920 enodes (cost 563 ) 0.707 * * [simplify]: iteration 2 : 5001 enodes (cost 562 ) 0.711 * [simplify]: Simplified to: (expm1 (/ (* x 2.0) (/ (- x y) y))) (log1p (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (exp (/ (* x 2.0) (/ (- x y) y))) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (* (cbrt (/ (* x 2.0) (/ (- x y) y))) (cbrt (/ (* x 2.0) (/ (- x y) y)))) (cbrt (/ (* x 2.0) (/ (- x y) y))) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (sqrt (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (- (* x 2.0)) (- (/ (- x y) y)) (/ x (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ 2.0 (cbrt (/ (- x y) y))) (/ x (sqrt (/ (- x y) y))) (/ 2.0 (sqrt (/ (- x y) y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (cbrt (- x y)) (cbrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ 2.0 (/ (cbrt (- x y)) (sqrt y))) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ 2.0 (/ (cbrt (- x y)) y)) (/ x (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (sqrt (- x y)) (cbrt y))) (/ x (/ (sqrt (- x y)) (sqrt y))) (/ 2.0 (/ (sqrt (- x y)) (sqrt y))) (/ x (sqrt (- x y))) (/ 2.0 (/ (sqrt (- x y)) y)) (* x (* (cbrt y) (cbrt y))) (/ 2.0 (/ (- x y) (cbrt y))) (* x (sqrt y)) (/ 2.0 (/ (- x y) (sqrt y))) x (/ 2.0 (/ (- x y) y)) (/ x (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (cbrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (sqrt y))) (/ x (+ (sqrt x) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) y)) (* x (* (cbrt y) (cbrt y))) (/ 2.0 (/ (- x y) (cbrt y))) (* x (sqrt y)) (/ 2.0 (/ (- x y) (sqrt y))) x (/ 2.0 (/ (- x y) y)) x (/ 2.0 (/ (- x y) y)) (/ x (- x y)) (* y 2.0) (/ y (- x y)) (/ (/ (- x y) y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ (* x 2.0) (sqrt (/ (- x y) y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) 2.0)) (/ (* x 2.0) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (sqrt y))) (/ x (/ (sqrt (- x y)) 2.0)) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (sqrt y)) (* x 2.0) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) 2.0)) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (sqrt y)) (* x 2.0) (* x 2.0) (/ (* x 2.0) (- x y)) (/ (/ (- x y) y) 2.0) (/ (* x 2.0) (- x y)) (expm1 (/ (- x y) y)) (log1p (/ (- x y) y)) (log (/ (- x y) y)) (log (/ (- x y) y)) (exp (/ (- x y) y)) (pow (- (/ x y) 1) 3) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))) (cbrt (/ (- x y) y)) (pow (- (/ x y) 1) 3) (sqrt (/ (- x y) y)) (sqrt (/ (- x y) y)) (- (- x y)) (- y) (/ x y) 1 (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (- x y)) (cbrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y)) (/ (cbrt (- x y)) (sqrt y)) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (- x y)) (cbrt y)) (/ (sqrt (- x y)) (sqrt y)) (/ (sqrt (- x y)) (sqrt y)) (sqrt (- x y)) (/ (sqrt (- x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) 1 (- (/ x y) 1) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (- (sqrt x) (sqrt y)) (cbrt y)) (/ (+ (sqrt x) (sqrt y)) (sqrt y)) (- (/ (sqrt x) (sqrt y)) 1) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) 1 (- (/ x y) 1) (/ 1 y) (/ y (- x y)) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (- x y) (sqrt y)) (- x y) (/ y (cbrt (- x y))) (/ y (sqrt (- x y))) (/ y (- x y)) (/ y (- (sqrt x) (sqrt y))) (/ y (- x y)) (* (fma x x (fma y y (* x y))) y) (fma y y (* x y)) 0 0 0 (- (/ x y) 1) (- (/ x y) 1) (- (/ x y) 1) 0.711 * * * [progress]: adding candidates to table 0.883 * * [progress]: iteration 4 / 4 0.883 * * * [progress]: picking best candidate 0.885 * * * * [pick]: Picked # 0.885 * * * [progress]: localizing error 0.892 * * * [progress]: generating rewritten candidates 0.892 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.909 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.920 * * * [progress]: generating series expansions 0.920 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.921 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.921 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.921 * [taylor]: Taking taylor expansion of 2.0 in y 0.921 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.921 * [taylor]: Taking taylor expansion of (* x y) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of (- x y) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.922 * [taylor]: Taking taylor expansion of 2.0 in x 0.922 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.922 * [taylor]: Taking taylor expansion of (* x y) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (- x y) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.922 * [taylor]: Taking taylor expansion of 2.0 in x 0.922 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.922 * [taylor]: Taking taylor expansion of (* x y) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (- x y) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of -2.0 in y 0.924 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.924 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.924 * [taylor]: Taking taylor expansion of 2.0 in y 0.924 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.928 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.928 * [taylor]: Taking taylor expansion of 2.0 in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.934 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.935 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.935 * [taylor]: Taking taylor expansion of 2.0 in y 0.935 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.935 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.935 * [taylor]: Taking taylor expansion of x in y 0.935 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (* x y) in y 0.935 * [taylor]: Taking taylor expansion of x in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.937 * [taylor]: Taking taylor expansion of 2.0 in x 0.937 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.937 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.937 * [taylor]: Taking taylor expansion of (* x y) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.939 * [taylor]: Taking taylor expansion of 2.0 in x 0.939 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.939 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of (* x y) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.941 * [taylor]: Taking taylor expansion of 2.0 in y 0.941 * [taylor]: Taking taylor expansion of y in y 0.944 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.944 * [taylor]: Taking taylor expansion of 2.0 in y 0.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.944 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.944 * [taylor]: Taking taylor expansion of y in y 0.950 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.950 * [taylor]: Taking taylor expansion of 2.0 in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.950 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.958 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.958 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.958 * [taylor]: Taking taylor expansion of 2.0 in y 0.958 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.960 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.960 * [taylor]: Taking taylor expansion of 2.0 in x 0.960 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.960 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.960 * [taylor]: Taking taylor expansion of y in x 0.960 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.960 * [taylor]: Taking taylor expansion of y in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.962 * [taylor]: Taking taylor expansion of 2.0 in x 0.962 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.962 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.964 * [taylor]: Taking taylor expansion of -2.0 in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.967 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.967 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.967 * [taylor]: Taking taylor expansion of 2.0 in y 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.967 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.973 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.973 * [taylor]: Taking taylor expansion of 2.0 in y 0.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.973 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.973 * [taylor]: Taking taylor expansion of y in y 0.981 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.981 * [approximate]: Taking taylor expansion of (* 2.0 (/ x (- x y))) in (x y) around 0 0.982 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (- x y))) in y 0.982 * [taylor]: Taking taylor expansion of 2.0 in y 0.982 * [taylor]: Taking taylor expansion of (/ x (- x y)) in y 0.982 * [taylor]: Taking taylor expansion of x in y 0.982 * [taylor]: Taking taylor expansion of (- x y) in y 0.982 * [taylor]: Taking taylor expansion of x in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (- x y))) in x 0.982 * [taylor]: Taking taylor expansion of 2.0 in x 0.982 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (- x y) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (- x y))) in x 0.982 * [taylor]: Taking taylor expansion of 2.0 in x 0.982 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of (- x y) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.982 * [taylor]: Taking taylor expansion of y in x 0.982 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.982 * [taylor]: Taking taylor expansion of -2.0 in y 0.982 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.984 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.984 * [taylor]: Taking taylor expansion of 2.0 in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.988 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.988 * [taylor]: Taking taylor expansion of 2.0 in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.989 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.989 * [taylor]: Taking taylor expansion of y in y 1.000 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 1.000 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) x)) in y 1.000 * [taylor]: Taking taylor expansion of 2.0 in y 1.000 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 1.000 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.000 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.000 * [taylor]: Taking taylor expansion of y in y 1.000 * [taylor]: Taking taylor expansion of x in y 1.001 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) x)) in x 1.001 * [taylor]: Taking taylor expansion of 2.0 in x 1.001 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 1.001 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.001 * [taylor]: Taking taylor expansion of y in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) x)) in x 1.003 * [taylor]: Taking taylor expansion of 2.0 in x 1.003 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 1.003 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.003 * [taylor]: Taking taylor expansion of y in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of 2.0 in y 1.007 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.007 * [taylor]: Taking taylor expansion of 2.0 in y 1.007 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.007 * [taylor]: Taking taylor expansion of y in y 1.011 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 1.011 * [taylor]: Taking taylor expansion of 2.0 in y 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.016 * [approximate]: Taking taylor expansion of (/ -2.0 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.016 * [taylor]: Taking taylor expansion of (/ -2.0 (* x (- (/ 1 y) (/ 1 x)))) in y 1.016 * [taylor]: Taking taylor expansion of -2.0 in y 1.016 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.017 * [taylor]: Taking taylor expansion of (/ -2.0 (* x (- (/ 1 y) (/ 1 x)))) in x 1.017 * [taylor]: Taking taylor expansion of -2.0 in x 1.017 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (/ -2.0 (* x (- (/ 1 y) (/ 1 x)))) in x 1.019 * [taylor]: Taking taylor expansion of -2.0 in x 1.019 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.019 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.019 * [taylor]: Taking taylor expansion of y in x 1.019 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.019 * [taylor]: Taking taylor expansion of x in x 1.022 * [taylor]: Taking taylor expansion of 2.0 in y 1.024 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.024 * [taylor]: Taking taylor expansion of 2.0 in y 1.024 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.028 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 1.028 * [taylor]: Taking taylor expansion of 2.0 in y 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.028 * [taylor]: Taking taylor expansion of y in y 1.034 * * * [progress]: simplifying candidates 1.035 * [simplify]: Simplifying using # : (expm1 (* (/ (* x 2.0) (- x y)) y)) (log1p (* (/ (* x 2.0) (- x y)) y)) (* (/ (* x 2.0) (- x y)) y) (+ (- (+ (log x) (log 2.0)) (log (- x y))) (log y)) (+ (- (log (* x 2.0)) (log (- x y))) (log y)) (+ (log (/ (* x 2.0) (- x y))) (log y)) (log (* (/ (* x 2.0) (- x y)) y)) (exp (* (/ (* x 2.0) (- x y)) y)) (* (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (- x y) (- x y)) (- x y))) (* (* y y) y)) (* (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (- x y) (- x y)) (- x y))) (* (* y y) y)) (* (* (* (/ (* x 2.0) (- x y)) (/ (* x 2.0) (- x y))) (/ (* x 2.0) (- x y))) (* (* y y) y)) (* (cbrt (* (/ (* x 2.0) (- x y)) y)) (cbrt (* (/ (* x 2.0) (- x y)) y))) (cbrt (* (/ (* x 2.0) (- x y)) y)) (* (* (* (/ (* x 2.0) (- x y)) y) (* (/ (* x 2.0) (- x y)) y)) (* (/ (* x 2.0) (- x y)) y)) (sqrt (* (/ (* x 2.0) (- x y)) y)) (sqrt (* (/ (* x 2.0) (- x y)) y)) (* (sqrt (/ (* x 2.0) (- x y))) (sqrt y)) (* (sqrt (/ (* x 2.0) (- x y))) (sqrt y)) (* (/ (* x 2.0) (- x y)) (* (cbrt y) (cbrt y))) (* (/ (* x 2.0) (- x y)) (sqrt y)) (* (/ (* x 2.0) (- x y)) 1) (* (cbrt (/ (* x 2.0) (- x y))) y) (* (sqrt (/ (* x 2.0) (- x y))) y) (* (/ 2.0 (cbrt (- x y))) y) (* (/ 2.0 (sqrt (- x y))) y) (* (/ 2.0 (- x y)) y) (* (/ 2.0 (- (sqrt x) (sqrt y))) y) (* (/ 2.0 (- x y)) y) (* (/ (* x 2.0) (- x y)) y) (* (/ 1 (- x y)) y) (* (+ (* x x) (+ (* y y) (* x y))) y) (* (+ x y) y) (* (* x 2.0) y) (expm1 (/ (* x 2.0) (- x y))) (log1p (/ (* x 2.0) (- x y))) (- (+ (log x) (log 2.0)) (log (- x y))) (- (log (* x 2.0)) (log (- x y))) (log (/ (* x 2.0) (- x y))) (exp (/ (* x 2.0) (- x y))) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (- x y) (- x y)) (- x y))) (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (* x 2.0) (- x y))) (cbrt (/ (* x 2.0) (- x y)))) (cbrt (/ (* x 2.0) (- x y))) (* (* (/ (* x 2.0) (- x y)) (/ (* x 2.0) (- x y))) (/ (* x 2.0) (- x y))) (sqrt (/ (* x 2.0) (- x y))) (sqrt (/ (* x 2.0) (- x y))) (- (* x 2.0)) (- (- x y)) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ 2.0 (cbrt (- x y))) (/ x (sqrt (- x y))) (/ 2.0 (sqrt (- x y))) (/ x 1) (/ 2.0 (- x y)) (/ x (+ (sqrt x) (sqrt y))) (/ 2.0 (- (sqrt x) (sqrt y))) (/ x 1) (/ 2.0 (- x y)) (/ 1 (- x y)) (/ (- x y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x 2.0) (sqrt (- x y))) (/ (* x 2.0) 1) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (/ (* x 2.0) 1) (/ (- x y) 2.0) (/ (* x 2.0) (- (pow x 3) (pow y 3))) (/ (* x 2.0) (- (* x x) (* y y))) 0 0 0 0 0 0 1.039 * * [simplify]: iteration 0 : 268 enodes (cost 331 ) 1.045 * * [simplify]: iteration 1 : 1326 enodes (cost 279 ) 1.068 * * [simplify]: iteration 2 : 5001 enodes (cost 279 ) 1.069 * [simplify]: Simplified to: (expm1 (* (/ (* x 2.0) (- x y)) y)) (log1p (* (/ (* x 2.0) (- x y)) y)) (* (/ (* x 2.0) (- x y)) y) (log (* (/ (* x 2.0) (- x y)) y)) (log (* (/ (* x 2.0) (- x y)) y)) (log (* (/ (* x 2.0) (- x y)) y)) (log (* (/ (* x 2.0) (- x y)) y)) (exp (* (/ (* x 2.0) (- x y)) y)) (pow (* (/ (* x 2.0) (- x y)) y) 3) (pow (* (/ (* x 2.0) (- x y)) y) 3) (pow (* (/ (* x 2.0) (- x y)) y) 3) (* (cbrt (* (/ (* x 2.0) (- x y)) y)) (cbrt (* (/ (* x 2.0) (- x y)) y))) (cbrt (* (/ (* x 2.0) (- x y)) y)) (pow (* (/ (* x 2.0) (- x y)) y) 3) (sqrt (* (/ (* x 2.0) (- x y)) y)) (sqrt (* (/ (* x 2.0) (- x y)) y)) (* (sqrt (/ (* x 2.0) (- x y))) (sqrt y)) (* (sqrt (/ (* x 2.0) (- x y))) (sqrt y)) (* (/ (* x 2.0) (- x y)) (* (cbrt y) (cbrt y))) (* (/ (* x 2.0) (- x y)) (sqrt y)) (/ (* x 2.0) (- x y)) (* (cbrt (/ (* x 2.0) (- x y))) y) (* (sqrt (/ (* x 2.0) (- x y))) y) (* (/ 2.0 (cbrt (- x y))) y) (* (/ 2.0 (sqrt (- x y))) y) (* (/ 2.0 (- x y)) y) (* (/ 2.0 (- (sqrt x) (sqrt y))) y) (* (/ 2.0 (- x y)) y) (* (/ (* x 2.0) (- x y)) y) (* (/ 1 (- x y)) y) (* y (fma x x (fma y y (* x y)))) (fma y y (* x y)) (* (* x 2.0) y) (expm1 (/ (* x 2.0) (- x y))) (log1p (/ (* x 2.0) (- x y))) (log (/ (* x 2.0) (- x y))) (log (/ (* x 2.0) (- x y))) (log (/ (* x 2.0) (- x y))) (exp (/ (* x 2.0) (- x y))) (pow (/ (* x 2.0) (- x y)) 3) (pow (/ (* x 2.0) (- x y)) 3) (* (cbrt (/ (* x 2.0) (- x y))) (cbrt (/ (* x 2.0) (- x y)))) (cbrt (/ (* x 2.0) (- x y))) (pow (/ (* x 2.0) (- x y)) 3) (sqrt (/ (* x 2.0) (- x y))) (sqrt (/ (* x 2.0) (- x y))) (- (* x 2.0)) (- (- x y)) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ 2.0 (cbrt (- x y))) (/ x (sqrt (- x y))) (/ 2.0 (sqrt (- x y))) x (/ 2.0 (- x y)) (/ x (+ (sqrt x) (sqrt y))) (/ 2.0 (- (sqrt x) (sqrt y))) x (/ 2.0 (- x y)) (/ 1 (- x y)) (/ (- x y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x 2.0) (sqrt (- x y))) (* x 2.0) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (* x 2.0) (/ (- x y) 2.0) (/ (* x 2.0) (- (pow x 3) (pow y 3))) (/ (* x 2.0) (- (* x x) (* y y))) 0 0 0 0 0 0 1.070 * * * [progress]: adding candidates to table 1.169 * [progress]: [Phase 3 of 3] Extracting. 1.169 * * [regime]: Finding splitpoints for: (# # #) 1.169 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.169 * * * * [regimes]: Trying to branch on y from (# # #) 1.192 * * * * [regimes]: Trying to branch on x from (# # #) 1.214 * * * [regime]: Found split indices: #