31.672 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ (* (* x 2.0) y) (- x y)) 0.015 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.017 * * [simplify]: iteration 1 : 36 enodes (cost 4 ) 0.018 * * [simplify]: iteration 2 : 73 enodes (cost 4 ) 0.020 * * [simplify]: iteration 3 : 127 enodes (cost 4 ) 0.022 * * [simplify]: iteration 4 : 167 enodes (cost 4 ) 0.024 * * [simplify]: iteration 5 : 185 enodes (cost 4 ) 0.026 * * [simplify]: iteration 6 : 187 enodes (cost 4 ) 0.029 * * [simplify]: iteration 7 : 187 enodes (cost 4 ) 0.029 * [simplify]: Simplified to: (/ (* (* x 2.0) y) (- x y)) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.045 * * * [progress]: generating series expansions 0.045 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.045 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.045 * [taylor]: Taking taylor expansion of 2.0 in y 0.045 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.045 * [taylor]: Taking taylor expansion of (* x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (- x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.046 * [taylor]: Taking taylor expansion of 2.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (- x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.046 * [taylor]: Taking taylor expansion of 2.0 in x 0.046 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (- x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of -2.0 in y 0.049 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.049 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.049 * [taylor]: Taking taylor expansion of 2.0 in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.052 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.052 * [taylor]: Taking taylor expansion of 2.0 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.058 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.058 * [taylor]: Taking taylor expansion of 2.0 in y 0.058 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (* x y) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.060 * [taylor]: Taking taylor expansion of 2.0 in x 0.060 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (* x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.062 * [taylor]: Taking taylor expansion of 2.0 in x 0.062 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.062 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (* x y) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.063 * [taylor]: Taking taylor expansion of 2.0 in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.067 * [taylor]: Taking taylor expansion of 2.0 in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.073 * [taylor]: Taking taylor expansion of 2.0 in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.073 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.085 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.085 * [taylor]: Taking taylor expansion of 2.0 in y 0.085 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.087 * [taylor]: Taking taylor expansion of 2.0 in x 0.087 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.089 * [taylor]: Taking taylor expansion of 2.0 in x 0.089 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.092 * [taylor]: Taking taylor expansion of -2.0 in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.094 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.094 * [taylor]: Taking taylor expansion of 2.0 in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.100 * [taylor]: Taking taylor expansion of 2.0 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.100 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.108 * * * [progress]: simplifying candidates 0.109 * [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 0.113 * * [simplify]: iteration 0 : 214 enodes (cost 194 ) 0.117 * * [simplify]: iteration 1 : 1150 enodes (cost 161 ) 0.139 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.140 * [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 0.140 * * * [progress]: adding candidates to table 0.188 * * [progress]: iteration 2 / 4 0.189 * * * [progress]: picking best candidate 0.192 * * * * [pick]: Picked # 0.192 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.207 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.215 * * * [progress]: generating series expansions 0.215 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.215 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.215 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.215 * [taylor]: Taking taylor expansion of 2.0 in y 0.215 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.215 * [taylor]: Taking taylor expansion of (* x y) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (- x y) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.216 * [taylor]: Taking taylor expansion of 2.0 in x 0.216 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.216 * [taylor]: Taking taylor expansion of (* x y) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (- x y) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.217 * [taylor]: Taking taylor expansion of 2.0 in x 0.217 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.217 * [taylor]: Taking taylor expansion of (* x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of (- x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [taylor]: Taking taylor expansion of -2.0 in y 0.219 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.219 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.219 * [taylor]: Taking taylor expansion of 2.0 in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.222 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.222 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.222 * [taylor]: Taking taylor expansion of 2.0 in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.228 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.228 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.228 * [taylor]: Taking taylor expansion of 2.0 in y 0.228 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (* x y) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.230 * [taylor]: Taking taylor expansion of 2.0 in x 0.230 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.230 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of (* x y) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.232 * [taylor]: Taking taylor expansion of 2.0 in x 0.232 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.232 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (* x y) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.234 * [taylor]: Taking taylor expansion of 2.0 in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.237 * [taylor]: Taking taylor expansion of 2.0 in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.243 * [taylor]: Taking taylor expansion of 2.0 in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.255 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.255 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.255 * [taylor]: Taking taylor expansion of 2.0 in y 0.255 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.257 * [taylor]: Taking taylor expansion of 2.0 in x 0.257 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.259 * [taylor]: Taking taylor expansion of 2.0 in x 0.259 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.261 * [taylor]: Taking taylor expansion of -2.0 in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.264 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.264 * [taylor]: Taking taylor expansion of 2.0 in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.270 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.270 * [taylor]: Taking taylor expansion of 2.0 in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.278 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.278 * [approximate]: Taking taylor expansion of (/ y (- x y)) in (y x) around 0 0.278 * [taylor]: Taking taylor expansion of (/ y (- x y)) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (- x y) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (- x y) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (- x y) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.290 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in (y x) around 0 0.290 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in x 0.290 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.291 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.291 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.291 * [taylor]: Taking taylor expansion of x in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.293 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.293 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of -1 in x 0.297 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.301 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.305 * [approximate]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in (y x) around 0 0.305 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.305 * [taylor]: Taking taylor expansion of -1 in x 0.305 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.306 * [taylor]: Taking taylor expansion of -1 in y 0.306 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.308 * [taylor]: Taking taylor expansion of -1 in y 0.308 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.310 * [taylor]: Taking taylor expansion of -1 in x 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.320 * * * [progress]: simplifying candidates 0.321 * [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 0.326 * * [simplify]: iteration 0 : 315 enodes (cost 451 ) 0.334 * * [simplify]: iteration 1 : 1665 enodes (cost 401 ) 0.363 * * [simplify]: iteration 2 : 5001 enodes (cost 401 ) 0.370 * [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 0.370 * * * [progress]: adding candidates to table 0.481 * * [progress]: iteration 3 / 4 0.482 * * * [progress]: picking best candidate 0.486 * * * * [pick]: Picked # 0.486 * * * [progress]: localizing error 0.491 * * * [progress]: generating rewritten candidates 0.491 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.499 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.512 * * * [progress]: generating series expansions 0.513 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.513 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.513 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.513 * [taylor]: Taking taylor expansion of 2.0 in y 0.513 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.513 * [taylor]: Taking taylor expansion of (* x y) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of (- x y) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.514 * [taylor]: Taking taylor expansion of 2.0 in x 0.514 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.514 * [taylor]: Taking taylor expansion of (* x y) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (- x y) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.514 * [taylor]: Taking taylor expansion of 2.0 in x 0.514 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.514 * [taylor]: Taking taylor expansion of (* x y) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (- x y) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of -2.0 in y 0.517 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.517 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.517 * [taylor]: Taking taylor expansion of 2.0 in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.520 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.520 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.520 * [taylor]: Taking taylor expansion of 2.0 in y 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.526 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.526 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.526 * [taylor]: Taking taylor expansion of 2.0 in y 0.526 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.526 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.526 * [taylor]: Taking taylor expansion of x in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of (* x y) in y 0.526 * [taylor]: Taking taylor expansion of x in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.528 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.528 * [taylor]: Taking taylor expansion of 2.0 in x 0.528 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.528 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of (* x y) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.530 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.530 * [taylor]: Taking taylor expansion of 2.0 in x 0.530 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [taylor]: Taking taylor expansion of (* x y) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.532 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.532 * [taylor]: Taking taylor expansion of 2.0 in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.535 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.535 * [taylor]: Taking taylor expansion of 2.0 in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.541 * [taylor]: Taking taylor expansion of 2.0 in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.541 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.549 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.549 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.549 * [taylor]: Taking taylor expansion of 2.0 in y 0.549 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.551 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.551 * [taylor]: Taking taylor expansion of 2.0 in x 0.551 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.553 * [taylor]: Taking taylor expansion of 2.0 in x 0.553 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.553 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.553 * [taylor]: Taking taylor expansion of y in x 0.553 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.553 * [taylor]: Taking taylor expansion of y in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.553 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.555 * [taylor]: Taking taylor expansion of -2.0 in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.558 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.558 * [taylor]: Taking taylor expansion of 2.0 in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.564 * [taylor]: Taking taylor expansion of 2.0 in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.564 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.572 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.572 * [approximate]: Taking taylor expansion of (/ (- x y) y) in (x y) around 0 0.572 * [taylor]: Taking taylor expansion of (/ (- x y) y) in y 0.572 * [taylor]: Taking taylor expansion of (- x y) in y 0.573 * [taylor]: Taking taylor expansion of x in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.573 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 0.573 * [taylor]: Taking taylor expansion of (- x y) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 0.573 * [taylor]: Taking taylor expansion of (- x y) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of -1 in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 0.577 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.577 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.577 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.578 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of (- 1) in y 0.579 * [taylor]: Taking taylor expansion of 1 in y 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [approximate]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.585 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.585 * [taylor]: Taking taylor expansion of -1 in y 0.585 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.585 * [taylor]: Taking taylor expansion of x in y 0.586 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.586 * [taylor]: Taking taylor expansion of -1 in x 0.586 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.586 * [taylor]: Taking taylor expansion of y in x 0.586 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 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 (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.586 * [taylor]: Taking taylor expansion of -1 in x 0.586 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.586 * [taylor]: Taking taylor expansion of y in x 0.586 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 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 (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of (- 1) in y 0.593 * [taylor]: Taking taylor expansion of 1 in y 0.595 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.601 * * * [progress]: simplifying candidates 0.602 * [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) 0.608 * * [simplify]: iteration 0 : 392 enodes (cost 620 ) 0.616 * * [simplify]: iteration 1 : 1920 enodes (cost 563 ) 0.647 * * [simplify]: iteration 2 : 5001 enodes (cost 562 ) 0.651 * [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) 0.652 * * * [progress]: adding candidates to table 0.801 * * [progress]: iteration 4 / 4 0.801 * * * [progress]: picking best candidate 0.802 * * * * [pick]: Picked # 0.802 * * * [progress]: localizing error 0.807 * * * [progress]: generating rewritten candidates 0.807 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.817 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.825 * * * [progress]: generating series expansions 0.826 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.826 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.826 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.826 * [taylor]: Taking taylor expansion of 2.0 in y 0.826 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.826 * [taylor]: Taking taylor expansion of (* x y) in y 0.826 * [taylor]: Taking taylor expansion of x in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.826 * [taylor]: Taking taylor expansion of (- x y) in y 0.826 * [taylor]: Taking taylor expansion of x in y 0.826 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.827 * [taylor]: Taking taylor expansion of 2.0 in x 0.827 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.827 * [taylor]: Taking taylor expansion of (* x y) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of (- x y) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.827 * [taylor]: Taking taylor expansion of 2.0 in x 0.827 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.827 * [taylor]: Taking taylor expansion of (* x y) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of (- x y) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.828 * [taylor]: Taking taylor expansion of -2.0 in y 0.830 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.830 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.830 * [taylor]: Taking taylor expansion of 2.0 in y 0.830 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.830 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.833 * [taylor]: Taking taylor expansion of 2.0 in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.839 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.839 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.839 * [taylor]: Taking taylor expansion of 2.0 in y 0.839 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.839 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.840 * [taylor]: Taking taylor expansion of (* x y) in y 0.840 * [taylor]: Taking taylor expansion of x in y 0.840 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.841 * [taylor]: Taking taylor expansion of 2.0 in x 0.841 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.841 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.842 * [taylor]: Taking taylor expansion of (* x y) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.843 * [taylor]: Taking taylor expansion of 2.0 in x 0.843 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.843 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.844 * [taylor]: Taking taylor expansion of y in x 0.844 * [taylor]: Taking taylor expansion of (* x y) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of y in x 0.845 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.845 * [taylor]: Taking taylor expansion of 2.0 in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.853 * [taylor]: Taking taylor expansion of 2.0 in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.859 * [taylor]: Taking taylor expansion of 2.0 in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.859 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.867 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.867 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.867 * [taylor]: Taking taylor expansion of 2.0 in y 0.867 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.867 * [taylor]: Taking taylor expansion of x in y 0.867 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.869 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.870 * [taylor]: Taking taylor expansion of 2.0 in x 0.870 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.870 * [taylor]: Taking taylor expansion of y in x 0.870 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.870 * [taylor]: Taking taylor expansion of y in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.872 * [taylor]: Taking taylor expansion of 2.0 in x 0.872 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.874 * [taylor]: Taking taylor expansion of -2.0 in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.877 * [taylor]: Taking taylor expansion of 2.0 in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.883 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.883 * [taylor]: Taking taylor expansion of 2.0 in y 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.883 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.891 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.892 * [approximate]: Taking taylor expansion of (/ x (- x y)) in (x y) around 0 0.892 * [taylor]: Taking taylor expansion of (/ x (- x y)) in y 0.892 * [taylor]: Taking taylor expansion of x in y 0.892 * [taylor]: Taking taylor expansion of (- x y) in y 0.892 * [taylor]: Taking taylor expansion of x in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.892 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (- x y) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of y in x 0.892 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of (- x y) in x 0.892 * [taylor]: Taking taylor expansion of x in x 0.892 * [taylor]: Taking taylor expansion of y in x 0.892 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.892 * [taylor]: Taking taylor expansion of -1 in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.898 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.905 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.905 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in y 0.905 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.905 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.906 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.906 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.908 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.908 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of 1 in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.915 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.915 * [taylor]: Taking taylor expansion of y in y 0.920 * [approximate]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.920 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in y 0.920 * [taylor]: Taking taylor expansion of -1 in y 0.920 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.920 * [taylor]: Taking taylor expansion of x in y 0.920 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.920 * [taylor]: Taking taylor expansion of x in y 0.920 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.920 * [taylor]: Taking taylor expansion of -1 in x 0.920 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.921 * [taylor]: Taking taylor expansion of y in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.923 * [taylor]: Taking taylor expansion of -1 in x 0.923 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of 1 in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.940 * * * [progress]: simplifying candidates 0.942 * [simplify]: Simplifying using # : (expm1 (* (/ x (- x y)) (* y 2.0))) (log1p (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (+ (- (log x) (log (- x y))) (+ (log y) (log 2.0))) (+ (- (log x) (log (- x y))) (log (* y 2.0))) (+ (log (/ x (- x y))) (+ (log y) (log 2.0))) (+ (log (/ x (- x y))) (log (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (exp (* (/ x (- x y)) (* y 2.0))) (* (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (* y y) y) (* (* 2.0 2.0) 2.0))) (* (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (* y 2.0) (* y 2.0)) (* y 2.0))) (* (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (* (* (* y y) y) (* (* 2.0 2.0) 2.0))) (* (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (* (* (* y 2.0) (* y 2.0)) (* y 2.0))) (* (cbrt (* (/ x (- x y)) (* y 2.0))) (cbrt (* (/ x (- x y)) (* y 2.0)))) (cbrt (* (/ x (- x y)) (* y 2.0))) (* (* (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) (* y 2.0))) (sqrt (* (/ x (- x y)) (* y 2.0))) (sqrt (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) y) (* (cbrt (/ x (- x y))) (* y 2.0)) (* (sqrt (/ x (- x y))) (* y 2.0)) (* (/ (cbrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (cbrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ x (cbrt (- x y))) (* y 2.0)) (* (/ x (sqrt (- x y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ 1 (- x y)) (* y 2.0)) (* (+ (* x x) (+ (* y y) (* x y))) (* y 2.0)) (* (+ x y) (* y 2.0)) (* x (* y 2.0)) (expm1 (/ x (- x y))) (log1p (/ x (- x y))) (- (log x) (log (- x y))) (log (/ x (- x y))) (exp (/ x (- x y))) (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y)))) (cbrt (/ x (- x y))) (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (sqrt (/ x (- x y))) (sqrt (/ x (- x y))) (- x) (- (- x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt x) (cbrt (- x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y))) (/ (cbrt x) (sqrt (- x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- x y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y))) (/ (cbrt x) (- (sqrt x) (sqrt y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- x y)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt x) (cbrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) 1) (/ (sqrt x) (- x y)) (/ (sqrt x) (+ (sqrt x) (sqrt y))) (/ (sqrt x) (- (sqrt x) (sqrt y))) (/ (sqrt x) 1) (/ (sqrt x) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ x (sqrt (- x y))) (/ 1 1) (/ x (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ x (- (sqrt x) (sqrt y))) (/ 1 1) (/ x (- x y)) (/ 1 (- x y)) (/ (- x y) x) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (sqrt (- x y))) (/ x 1) (/ x (+ (sqrt x) (sqrt y))) (/ x 1) (/ (- x y) (cbrt x)) (/ (- x y) (sqrt x)) (/ (- x y) x) (/ x (- (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 0.948 * * [simplify]: iteration 0 : 319 enodes (cost 446 ) 0.955 * * [simplify]: iteration 1 : 1255 enodes (cost 395 ) 0.979 * * [simplify]: iteration 2 : 5001 enodes (cost 395 ) 0.982 * [simplify]: Simplified to: (expm1 (* (/ x (- x y)) (* y 2.0))) (log1p (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (exp (* (/ x (- x y)) (* y 2.0))) (pow (* (/ x (- x y)) (* y 2.0)) 3) (pow (* (/ x (- x y)) (* y 2.0)) 3) (pow (* (/ x (- x y)) (* y 2.0)) 3) (pow (* (/ x (- x y)) (* y 2.0)) 3) (* (cbrt (* (/ x (- x y)) (* y 2.0))) (cbrt (* (/ x (- x y)) (* y 2.0)))) (cbrt (* (/ x (- x y)) (* y 2.0))) (pow (* (/ x (- x y)) (* y 2.0)) 3) (sqrt (* (/ x (- x y)) (* y 2.0))) (sqrt (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) y) (* (cbrt (/ x (- x y))) (* y 2.0)) (* (sqrt (/ x (- x y))) (* y 2.0)) (* (/ (cbrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (cbrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ x (cbrt (- x y))) (* y 2.0)) (* (/ x (sqrt (- x y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (/ (* y 2.0) (- x y)) (* (* (fma x x (fma y y (* x y))) y) 2.0) (* (+ x y) (* y 2.0)) (* x (* y 2.0)) (expm1 (/ x (- x y))) (log1p (/ x (- x y))) (log (/ x (- x y))) (log (/ x (- x y))) (exp (/ x (- x y))) (pow (/ x (- x y)) 3) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y)))) (cbrt (/ x (- x y))) (pow (/ x (- x y)) 3) (sqrt (/ x (- x y))) (sqrt (/ x (- x y))) (- x) (- (- x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt x) (cbrt (- x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y))) (/ (cbrt x) (sqrt (- x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- x y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y))) (/ (cbrt x) (- (sqrt x) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- x y)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt x) (cbrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (sqrt x) (/ (sqrt x) (- x y)) (/ (sqrt x) (+ (sqrt x) (sqrt y))) (/ (sqrt x) (- (sqrt x) (sqrt y))) (sqrt x) (/ (sqrt x) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ x (sqrt (- x y))) 1 (/ x (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ x (- (sqrt x) (sqrt y))) 1 (/ x (- x y)) (/ 1 (- x y)) (/ (- x y) x) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (sqrt (- x y))) x (/ x (+ (sqrt x) (sqrt y))) x (/ (- x y) (cbrt x)) (/ (- x y) (sqrt x)) (/ (- x y) x) (/ x (- (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 0.983 * * * [progress]: adding candidates to table 1.106 * [progress]: [Phase 3 of 3] Extracting. 1.106 * * [regime]: Finding splitpoints for: (# #) 1.106 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.106 * * * * [regimes]: Trying to branch on y from (# #) 1.127 * * * * [regimes]: Trying to branch on x from (# #) 1.148 * * * [regime]: Found split indices: #