28.033 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.093 * * * [progress]: [2/2] Setting up program. 0.095 * [progress]: [Phase 2 of 3] Improving. 0.095 * [simplify]: Simplifying: (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0.095 * [simplify]: Sending expressions to egg_math: (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) 0.097 * * [simplify]: iteration 0 : 11 enodes (cost 7 ) 0.099 * * [simplify]: iteration 1 : 13 enodes (cost 7 ) 0.100 * * [simplify]: iteration 2 : 13 enodes (cost 7 ) 0.100 * * [progress]: iteration 1 / 4 0.100 * * * [progress]: picking best candidate 0.102 * * * * [pick]: Picked # 0.102 * * * [progress]: localizing error 0.112 * * * [progress]: generating rewritten candidates 0.112 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.115 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.120 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.131 * * * [progress]: generating series expansions 0.132 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.132 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 0.132 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.132 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.132 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.132 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.132 * [taylor]: Taking taylor expansion of 0.5 in y 0.132 * [backup-simplify]: Simplify 0.5 into 0.5 0.132 * [taylor]: Taking taylor expansion of (/ x y) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ x 1) into x 0.132 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.132 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.132 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.132 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.132 * [taylor]: Taking taylor expansion of 0.5 in y 0.132 * [backup-simplify]: Simplify 0.5 into 0.5 0.132 * [taylor]: Taking taylor expansion of (/ x y) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (/ x 1) into x 0.132 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.132 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.133 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.133 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.133 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.133 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.133 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.133 * [taylor]: Taking taylor expansion of 0.5 in x 0.133 * [backup-simplify]: Simplify 0.5 into 0.5 0.133 * [taylor]: Taking taylor expansion of (/ x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.133 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.133 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.133 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.133 * [taylor]: Taking taylor expansion of 0.5 in x 0.133 * [backup-simplify]: Simplify 0.5 into 0.5 0.133 * [taylor]: Taking taylor expansion of (/ x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [backup-simplify]: Simplify y into y 0.133 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.133 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.133 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.133 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.133 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.133 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.133 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.133 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.133 * [taylor]: Taking taylor expansion of 0.5 in x 0.133 * [backup-simplify]: Simplify 0.5 into 0.5 0.133 * [taylor]: Taking taylor expansion of (/ x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.134 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.134 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.134 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.134 * [taylor]: Taking taylor expansion of 0.5 in x 0.134 * [backup-simplify]: Simplify 0.5 into 0.5 0.134 * [taylor]: Taking taylor expansion of (/ x y) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [backup-simplify]: Simplify y into y 0.134 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.134 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.134 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.134 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.134 * [taylor]: Taking taylor expansion of 0.5 in y 0.134 * [backup-simplify]: Simplify 0.5 into 0.5 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.136 * [backup-simplify]: Simplify (+ 0) into 0 0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.142 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.142 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.143 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.143 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 0.143 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 0.143 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 0.143 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 0.150 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.150 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.151 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.151 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.151 * [taylor]: Taking taylor expansion of 0.5 in y 0.151 * [backup-simplify]: Simplify 0.5 into 0.5 0.151 * [taylor]: Taking taylor expansion of (/ y x) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [backup-simplify]: Simplify x into x 0.151 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.151 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.151 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.151 * [taylor]: Taking taylor expansion of 0.5 in y 0.151 * [backup-simplify]: Simplify 0.5 into 0.5 0.151 * [taylor]: Taking taylor expansion of (/ y x) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [backup-simplify]: Simplify x into x 0.151 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.151 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.151 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.151 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.151 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.152 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.152 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.152 * [taylor]: Taking taylor expansion of 0.5 in x 0.152 * [backup-simplify]: Simplify 0.5 into 0.5 0.152 * [taylor]: Taking taylor expansion of (/ y x) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ y 1) into y 0.152 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.152 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.152 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.152 * [taylor]: Taking taylor expansion of 0.5 in x 0.152 * [backup-simplify]: Simplify 0.5 into 0.5 0.152 * [taylor]: Taking taylor expansion of (/ y x) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ y 1) into y 0.152 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.152 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.153 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.153 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.153 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.153 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.153 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.153 * [taylor]: Taking taylor expansion of 0.5 in x 0.153 * [backup-simplify]: Simplify 0.5 into 0.5 0.153 * [taylor]: Taking taylor expansion of (/ y x) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [backup-simplify]: Simplify y into y 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ y 1) into y 0.153 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.153 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.153 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.153 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.153 * [taylor]: Taking taylor expansion of 0.5 in x 0.153 * [backup-simplify]: Simplify 0.5 into 0.5 0.153 * [taylor]: Taking taylor expansion of (/ y x) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [backup-simplify]: Simplify y into y 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ y 1) into y 0.153 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.154 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.154 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.154 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.154 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.154 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.154 * [taylor]: Taking taylor expansion of 0.5 in y 0.154 * [backup-simplify]: Simplify 0.5 into 0.5 0.154 * [taylor]: Taking taylor expansion of (/ y x) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [backup-simplify]: Simplify x into x 0.154 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.154 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.154 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.154 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.154 * [taylor]: Taking taylor expansion of 0.5 in y 0.154 * [backup-simplify]: Simplify 0.5 into 0.5 0.154 * [taylor]: Taking taylor expansion of (/ y x) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [backup-simplify]: Simplify x into x 0.154 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.154 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.154 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.155 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.155 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.155 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.156 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.156 * [backup-simplify]: Simplify (+ 0) into 0 0.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.158 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.159 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.160 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 0.160 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.160 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.162 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0.165 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 0.165 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.165 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.165 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.166 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.166 * [taylor]: Taking taylor expansion of 0.5 in y 0.166 * [backup-simplify]: Simplify 0.5 into 0.5 0.166 * [taylor]: Taking taylor expansion of (/ y x) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.166 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.166 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.166 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.166 * [taylor]: Taking taylor expansion of 0.5 in y 0.166 * [backup-simplify]: Simplify 0.5 into 0.5 0.166 * [taylor]: Taking taylor expansion of (/ y x) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.166 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.166 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.166 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.166 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.166 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.166 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.166 * [taylor]: Taking taylor expansion of 0.5 in x 0.166 * [backup-simplify]: Simplify 0.5 into 0.5 0.166 * [taylor]: Taking taylor expansion of (/ y x) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [backup-simplify]: Simplify y into y 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ y 1) into y 0.166 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.167 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.167 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.167 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.167 * [taylor]: Taking taylor expansion of 0.5 in x 0.167 * [backup-simplify]: Simplify 0.5 into 0.5 0.167 * [taylor]: Taking taylor expansion of (/ y x) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [backup-simplify]: Simplify y into y 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ y 1) into y 0.167 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.167 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.167 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.167 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.167 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.167 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.167 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.167 * [taylor]: Taking taylor expansion of 0.5 in x 0.167 * [backup-simplify]: Simplify 0.5 into 0.5 0.167 * [taylor]: Taking taylor expansion of (/ y x) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [backup-simplify]: Simplify y into y 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ y 1) into y 0.167 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.167 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.167 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.167 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.167 * [taylor]: Taking taylor expansion of 0.5 in x 0.167 * [backup-simplify]: Simplify 0.5 into 0.5 0.167 * [taylor]: Taking taylor expansion of (/ y x) in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.167 * [backup-simplify]: Simplify y into y 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (/ y 1) into y 0.168 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.168 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.168 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.168 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.168 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.168 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.168 * [taylor]: Taking taylor expansion of 0.5 in y 0.168 * [backup-simplify]: Simplify 0.5 into 0.5 0.168 * [taylor]: Taking taylor expansion of (/ y x) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 0.168 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.168 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.168 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.168 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.168 * [taylor]: Taking taylor expansion of 0.5 in y 0.168 * [backup-simplify]: Simplify 0.5 into 0.5 0.168 * [taylor]: Taking taylor expansion of (/ y x) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 0.168 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.168 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.168 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.168 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.168 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.169 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.170 * [backup-simplify]: Simplify (+ 0) into 0 0.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.173 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 0.173 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.174 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.175 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.176 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.176 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0.179 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.179 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 0.179 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.179 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.179 * [taylor]: Taking taylor expansion of 0.5 in y 0.179 * [backup-simplify]: Simplify 0.5 into 0.5 0.179 * [taylor]: Taking taylor expansion of (/ x y) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [backup-simplify]: Simplify x into x 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ x 1) into x 0.179 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.179 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.179 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.179 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.179 * [taylor]: Taking taylor expansion of 0.5 in x 0.179 * [backup-simplify]: Simplify 0.5 into 0.5 0.179 * [taylor]: Taking taylor expansion of (/ x y) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [backup-simplify]: Simplify y into y 0.179 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.179 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.179 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.179 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.179 * [taylor]: Taking taylor expansion of 0.5 in x 0.179 * [backup-simplify]: Simplify 0.5 into 0.5 0.179 * [taylor]: Taking taylor expansion of (/ x y) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [backup-simplify]: Simplify y into y 0.180 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.180 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.180 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.180 * [taylor]: Taking taylor expansion of 0.5 in y 0.180 * [backup-simplify]: Simplify 0.5 into 0.5 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 0.183 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.183 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.183 * [taylor]: Taking taylor expansion of 0.5 in y 0.183 * [backup-simplify]: Simplify 0.5 into 0.5 0.183 * [taylor]: Taking taylor expansion of (/ y x) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [backup-simplify]: Simplify x into x 0.183 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.183 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.183 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.183 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.183 * [taylor]: Taking taylor expansion of 0.5 in x 0.183 * [backup-simplify]: Simplify 0.5 into 0.5 0.183 * [taylor]: Taking taylor expansion of (/ y x) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [backup-simplify]: Simplify y into y 0.183 * [taylor]: Taking taylor expansion of x in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ y 1) into y 0.184 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.184 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.184 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.184 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.184 * [taylor]: Taking taylor expansion of 0.5 in x 0.184 * [backup-simplify]: Simplify 0.5 into 0.5 0.184 * [taylor]: Taking taylor expansion of (/ y x) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [backup-simplify]: Simplify y into y 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ y 1) into y 0.184 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.184 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.184 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.184 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.184 * [taylor]: Taking taylor expansion of 0.5 in y 0.184 * [backup-simplify]: Simplify 0.5 into 0.5 0.184 * [taylor]: Taking taylor expansion of (/ y x) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [backup-simplify]: Simplify x into x 0.184 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.184 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.184 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 0.186 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 0.186 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.186 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.186 * [taylor]: Taking taylor expansion of 0.5 in y 0.186 * [backup-simplify]: Simplify 0.5 into 0.5 0.186 * [taylor]: Taking taylor expansion of (/ y x) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [backup-simplify]: Simplify x into x 0.186 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.186 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.186 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.186 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.186 * [taylor]: Taking taylor expansion of 0.5 in x 0.186 * [backup-simplify]: Simplify 0.5 into 0.5 0.186 * [taylor]: Taking taylor expansion of (/ y x) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [backup-simplify]: Simplify y into y 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ y 1) into y 0.186 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.186 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.186 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.186 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.186 * [taylor]: Taking taylor expansion of 0.5 in x 0.186 * [backup-simplify]: Simplify 0.5 into 0.5 0.186 * [taylor]: Taking taylor expansion of (/ y x) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [backup-simplify]: Simplify y into y 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ y 1) into y 0.187 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.187 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.187 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.187 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.187 * [taylor]: Taking taylor expansion of 0.5 in y 0.187 * [backup-simplify]: Simplify 0.5 into 0.5 0.187 * [taylor]: Taking taylor expansion of (/ y x) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [backup-simplify]: Simplify x into x 0.187 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.187 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.187 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 0.188 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.189 * [backup-simplify]: Simplify (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) into (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 0.189 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0 0.189 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.189 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.189 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.189 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.189 * [taylor]: Taking taylor expansion of 0.5 in y 0.189 * [backup-simplify]: Simplify 0.5 into 0.5 0.189 * [taylor]: Taking taylor expansion of (/ x y) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [backup-simplify]: Simplify x into x 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ x 1) into x 0.189 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.189 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.189 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.189 * [taylor]: Taking taylor expansion of 0.5 in y 0.189 * [backup-simplify]: Simplify 0.5 into 0.5 0.189 * [taylor]: Taking taylor expansion of (/ x y) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [backup-simplify]: Simplify x into x 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ x 1) into x 0.189 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.189 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.189 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.189 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.189 * [taylor]: Taking taylor expansion of 0.5 in y 0.190 * [backup-simplify]: Simplify 0.5 into 0.5 0.190 * [taylor]: Taking taylor expansion of (/ x y) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [backup-simplify]: Simplify x into x 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ x 1) into x 0.190 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.190 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.190 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) (sin (* 0.5 (/ x y)))) into (/ 1 (cos (* 0.5 (/ x y)))) 0.190 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.190 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.190 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.190 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.190 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.190 * [taylor]: Taking taylor expansion of 0.5 in x 0.190 * [backup-simplify]: Simplify 0.5 into 0.5 0.190 * [taylor]: Taking taylor expansion of (/ x y) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [backup-simplify]: Simplify y into y 0.190 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.190 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.190 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.190 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.190 * [taylor]: Taking taylor expansion of 0.5 in x 0.190 * [backup-simplify]: Simplify 0.5 into 0.5 0.190 * [taylor]: Taking taylor expansion of (/ x y) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of y in x 0.191 * [backup-simplify]: Simplify y into y 0.191 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.191 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.191 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.191 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.191 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.191 * [taylor]: Taking taylor expansion of 0.5 in x 0.191 * [backup-simplify]: Simplify 0.5 into 0.5 0.191 * [taylor]: Taking taylor expansion of (/ x y) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [backup-simplify]: Simplify y into y 0.191 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.191 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.191 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.191 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.191 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.191 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.191 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.191 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.191 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.191 * [taylor]: Taking taylor expansion of 0.5 in x 0.191 * [backup-simplify]: Simplify 0.5 into 0.5 0.191 * [taylor]: Taking taylor expansion of (/ x y) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [backup-simplify]: Simplify y into y 0.191 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.192 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.192 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.192 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.192 * [taylor]: Taking taylor expansion of 0.5 in x 0.192 * [backup-simplify]: Simplify 0.5 into 0.5 0.192 * [taylor]: Taking taylor expansion of (/ x y) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [backup-simplify]: Simplify y into y 0.192 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.192 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.192 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.192 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.192 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.192 * [taylor]: Taking taylor expansion of 0.5 in x 0.192 * [backup-simplify]: Simplify 0.5 into 0.5 0.192 * [taylor]: Taking taylor expansion of (/ x y) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [backup-simplify]: Simplify y into y 0.192 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.192 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.192 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.192 * [taylor]: Taking taylor expansion of 1.0 in y 0.192 * [backup-simplify]: Simplify 1.0 into 1.0 0.192 * [backup-simplify]: Simplify 1.0 into 1.0 0.193 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.194 * [backup-simplify]: Simplify (+ 0) into 0 0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.195 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.196 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.197 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.197 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 0.198 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.199 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.199 * [backup-simplify]: Simplify (- (/ (* 0.04166666666666667 (/ 1 (pow y 3))) (* 0.5 (/ 1 y))) (+ (* 1.0 (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) (* 0.5 (/ 1 y)))) (* 0 (/ 0 (* 0.5 (/ 1 y)))))) into (* 0.125 (/ 1 (pow y 2))) 0.199 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 0.199 * [taylor]: Taking taylor expansion of 0.125 in y 0.199 * [backup-simplify]: Simplify 0.125 into 0.125 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.204 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow y 3))) (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.208 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))) (* 0 (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) (* 0.5 (/ 1 y)))) (* (* 0.125 (/ 1 (pow y 2))) (/ 0 (* 0.5 (/ 1 y)))))) into 0 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.208 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) (sin (/ (/ 1 x) (* (/ 1 y) 2.0)))) into (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 0.208 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.208 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.208 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.208 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.208 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.208 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.208 * [taylor]: Taking taylor expansion of 0.5 in y 0.208 * [backup-simplify]: Simplify 0.5 into 0.5 0.208 * [taylor]: Taking taylor expansion of (/ y x) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [backup-simplify]: Simplify x into x 0.208 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.208 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.208 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.208 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.208 * [taylor]: Taking taylor expansion of 0.5 in y 0.208 * [backup-simplify]: Simplify 0.5 into 0.5 0.208 * [taylor]: Taking taylor expansion of (/ y x) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of x in y 0.209 * [backup-simplify]: Simplify x into x 0.209 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.209 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.209 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.209 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.209 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.209 * [taylor]: Taking taylor expansion of 0.5 in y 0.209 * [backup-simplify]: Simplify 0.5 into 0.5 0.209 * [taylor]: Taking taylor expansion of (/ y x) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [backup-simplify]: Simplify x into x 0.209 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.209 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.209 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.209 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.209 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.209 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.209 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.209 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.209 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.209 * [taylor]: Taking taylor expansion of 0.5 in x 0.209 * [backup-simplify]: Simplify 0.5 into 0.5 0.209 * [taylor]: Taking taylor expansion of (/ y x) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [backup-simplify]: Simplify y into y 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ y 1) into y 0.210 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.210 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.210 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.210 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.210 * [taylor]: Taking taylor expansion of 0.5 in x 0.210 * [backup-simplify]: Simplify 0.5 into 0.5 0.210 * [taylor]: Taking taylor expansion of (/ y x) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [backup-simplify]: Simplify y into y 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ y 1) into y 0.210 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.210 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.210 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.210 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.210 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.210 * [taylor]: Taking taylor expansion of 0.5 in x 0.210 * [backup-simplify]: Simplify 0.5 into 0.5 0.210 * [taylor]: Taking taylor expansion of (/ y x) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [backup-simplify]: Simplify y into y 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ y 1) into y 0.210 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.210 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.210 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.210 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.211 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.211 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.211 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.211 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.211 * [taylor]: Taking taylor expansion of 0.5 in x 0.211 * [backup-simplify]: Simplify 0.5 into 0.5 0.211 * [taylor]: Taking taylor expansion of (/ y x) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [backup-simplify]: Simplify y into y 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ y 1) into y 0.211 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.211 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.211 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.211 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.211 * [taylor]: Taking taylor expansion of 0.5 in x 0.211 * [backup-simplify]: Simplify 0.5 into 0.5 0.211 * [taylor]: Taking taylor expansion of (/ y x) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [backup-simplify]: Simplify y into y 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ y 1) into y 0.211 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.211 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.211 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.211 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.211 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.211 * [taylor]: Taking taylor expansion of 0.5 in x 0.211 * [backup-simplify]: Simplify 0.5 into 0.5 0.211 * [taylor]: Taking taylor expansion of (/ y x) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [backup-simplify]: Simplify y into y 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ y 1) into y 0.211 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.212 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.212 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.212 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.212 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.212 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.212 * [taylor]: Taking taylor expansion of 0.5 in y 0.212 * [backup-simplify]: Simplify 0.5 into 0.5 0.212 * [taylor]: Taking taylor expansion of (/ y x) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [backup-simplify]: Simplify x into x 0.212 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.212 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.213 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ 0) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.214 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.215 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.216 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.216 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.219 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (/ 1 x) 2)) (pow (* (/ 1 y) 1) 2)) 1) into (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.219 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) into (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 0.219 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.219 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.219 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.219 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.219 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.219 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.219 * [taylor]: Taking taylor expansion of 0.5 in y 0.220 * [backup-simplify]: Simplify 0.5 into 0.5 0.220 * [taylor]: Taking taylor expansion of (/ y x) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [backup-simplify]: Simplify x into x 0.220 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.220 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.220 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.220 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.220 * [taylor]: Taking taylor expansion of 0.5 in y 0.220 * [backup-simplify]: Simplify 0.5 into 0.5 0.220 * [taylor]: Taking taylor expansion of (/ y x) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [backup-simplify]: Simplify x into x 0.220 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.220 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.220 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.220 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.220 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.220 * [taylor]: Taking taylor expansion of 0.5 in y 0.220 * [backup-simplify]: Simplify 0.5 into 0.5 0.220 * [taylor]: Taking taylor expansion of (/ y x) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [backup-simplify]: Simplify x into x 0.220 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.220 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.221 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.221 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.221 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.221 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.221 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.221 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.221 * [taylor]: Taking taylor expansion of 0.5 in x 0.221 * [backup-simplify]: Simplify 0.5 into 0.5 0.221 * [taylor]: Taking taylor expansion of (/ y x) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [backup-simplify]: Simplify y into y 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ y 1) into y 0.221 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.221 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.221 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.221 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.221 * [taylor]: Taking taylor expansion of 0.5 in x 0.221 * [backup-simplify]: Simplify 0.5 into 0.5 0.221 * [taylor]: Taking taylor expansion of (/ y x) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [backup-simplify]: Simplify y into y 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (/ y 1) into y 0.221 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.221 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.221 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.221 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.221 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.221 * [taylor]: Taking taylor expansion of 0.5 in x 0.221 * [backup-simplify]: Simplify 0.5 into 0.5 0.221 * [taylor]: Taking taylor expansion of (/ y x) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [backup-simplify]: Simplify y into y 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ y 1) into y 0.222 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.222 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.222 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.222 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.222 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.222 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.222 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.222 * [taylor]: Taking taylor expansion of 0.5 in x 0.222 * [backup-simplify]: Simplify 0.5 into 0.5 0.222 * [taylor]: Taking taylor expansion of (/ y x) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [backup-simplify]: Simplify y into y 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ y 1) into y 0.222 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.222 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.222 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.222 * [taylor]: Taking taylor expansion of 0.5 in x 0.222 * [backup-simplify]: Simplify 0.5 into 0.5 0.222 * [taylor]: Taking taylor expansion of (/ y x) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [backup-simplify]: Simplify y into y 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ y 1) into y 0.222 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.222 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.223 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.223 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.223 * [taylor]: Taking taylor expansion of 0.5 in x 0.223 * [backup-simplify]: Simplify 0.5 into 0.5 0.223 * [taylor]: Taking taylor expansion of (/ y x) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [backup-simplify]: Simplify y into y 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ y 1) into y 0.223 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.223 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.223 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.223 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.223 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.223 * [taylor]: Taking taylor expansion of 0.5 in y 0.223 * [backup-simplify]: Simplify 0.5 into 0.5 0.223 * [taylor]: Taking taylor expansion of (/ y x) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [backup-simplify]: Simplify x into x 0.223 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.223 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.224 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (+ 0) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.226 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.227 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.227 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.227 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.228 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.230 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (/ 1 (- x)) 2)) (pow (* (/ 1 (- y)) 1) 2)) 1) into (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.231 * * * [progress]: simplifying candidates 0.231 * [simplify]: Simplifying: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (- (log (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0))))) (log (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (exp (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (* (* (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (- (tan (/ x (* y 2.0)))) (- (sin (/ x (* y 2.0)))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) 1) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ (sqrt (tan (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (sqrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (cbrt (sin (/ x (* y 2.0))))) (/ 1 (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (/ 1 1) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ 1 (sin (/ x (* y 2.0)))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) 1) (/ (sin (/ x (* y 2.0))) (cbrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (sqrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 1.0 (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.232 * [simplify]: Sending expressions to egg_math: (sin (/ h0 (* h1 h2))) (cos (/ h0 (* h1 h2))) (log (tan (/ h0 (* h1 h2)))) (exp (tan (/ h0 (* h1 h2)))) (* (cbrt (tan (/ h0 (* h1 h2)))) (cbrt (tan (/ h0 (* h1 h2))))) (cbrt (tan (/ h0 (* h1 h2)))) (* (* (tan (/ h0 (* h1 h2))) (tan (/ h0 (* h1 h2)))) (tan (/ h0 (* h1 h2)))) (sqrt (tan (/ h0 (* h1 h2)))) (sqrt (tan (/ h0 (* h1 h2)))) (log (sin (/ h0 (* h1 h2)))) (exp (sin (/ h0 (* h1 h2)))) (* (cbrt (sin (/ h0 (* h1 h2)))) (cbrt (sin (/ h0 (* h1 h2))))) (cbrt (sin (/ h0 (* h1 h2)))) (* (* (sin (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) (sin (/ h0 (* h1 h2)))) (sqrt (sin (/ h0 (* h1 h2)))) (sqrt (sin (/ h0 (* h1 h2)))) (- (log (tan (/ h0 (* h1 h2)))) (log (sin (/ h0 (* h1 h2))))) (log (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2))))) (exp (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2))))) (/ (* (* (tan (/ h0 (* h1 h2))) (tan (/ h0 (* h1 h2)))) (tan (/ h0 (* h1 h2)))) (* (* (sin (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) (sin (/ h0 (* h1 h2))))) (* (cbrt (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2))))) (cbrt (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))))) (cbrt (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2))))) (* (* (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2))))) (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2))))) (sqrt (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2))))) (sqrt (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2))))) (- (tan (/ h0 (* h1 h2)))) (- (sin (/ h0 (* h1 h2)))) (/ (* (cbrt (tan (/ h0 (* h1 h2)))) (cbrt (tan (/ h0 (* h1 h2))))) (* (cbrt (sin (/ h0 (* h1 h2)))) (cbrt (sin (/ h0 (* h1 h2)))))) (/ (cbrt (tan (/ h0 (* h1 h2)))) (cbrt (sin (/ h0 (* h1 h2))))) (/ (* (cbrt (tan (/ h0 (* h1 h2)))) (cbrt (tan (/ h0 (* h1 h2))))) (sqrt (sin (/ h0 (* h1 h2))))) (/ (cbrt (tan (/ h0 (* h1 h2)))) (sqrt (sin (/ h0 (* h1 h2))))) (/ (* (cbrt (tan (/ h0 (* h1 h2)))) (cbrt (tan (/ h0 (* h1 h2))))) 1) (/ (cbrt (tan (/ h0 (* h1 h2)))) (sin (/ h0 (* h1 h2)))) (/ (sqrt (tan (/ h0 (* h1 h2)))) (* (cbrt (sin (/ h0 (* h1 h2)))) (cbrt (sin (/ h0 (* h1 h2)))))) (/ (sqrt (tan (/ h0 (* h1 h2)))) (cbrt (sin (/ h0 (* h1 h2))))) (/ (sqrt (tan (/ h0 (* h1 h2)))) (sqrt (sin (/ h0 (* h1 h2))))) (/ (sqrt (tan (/ h0 (* h1 h2)))) (sqrt (sin (/ h0 (* h1 h2))))) (/ (sqrt (tan (/ h0 (* h1 h2)))) 1) (/ (sqrt (tan (/ h0 (* h1 h2)))) (sin (/ h0 (* h1 h2)))) (/ 1 (* (cbrt (sin (/ h0 (* h1 h2)))) (cbrt (sin (/ h0 (* h1 h2)))))) (/ (tan (/ h0 (* h1 h2))) (cbrt (sin (/ h0 (* h1 h2))))) (/ 1 (sqrt (sin (/ h0 (* h1 h2))))) (/ (tan (/ h0 (* h1 h2))) (sqrt (sin (/ h0 (* h1 h2))))) (/ 1 1) (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) (/ 1 (sin (/ h0 (* h1 h2)))) (/ (sin (/ h0 (* h1 h2))) (tan (/ h0 (* h1 h2)))) (/ (tan (/ h0 (* h1 h2))) (* (cbrt (sin (/ h0 (* h1 h2)))) (cbrt (sin (/ h0 (* h1 h2)))))) (/ (tan (/ h0 (* h1 h2))) (sqrt (sin (/ h0 (* h1 h2))))) (/ (tan (/ h0 (* h1 h2))) 1) (/ (sin (/ h0 (* h1 h2))) (cbrt (tan (/ h0 (* h1 h2))))) (/ (sin (/ h0 (* h1 h2))) (sqrt (tan (/ h0 (* h1 h2))))) (/ (sin (/ h0 (* h1 h2))) (tan (/ h0 (* h1 h2)))) (* (sin (/ h0 (* h1 h2))) (cos (/ h0 (* h1 h2)))) 0 (+ (* h3 (/ (pow h0 3) (pow h1 3))) (* h4 (/ h0 h1))) (+ (* h3 (/ (pow h0 3) (pow h1 3))) (* h4 (/ h0 h1))) 0 (* h4 (/ h0 h1)) (* h4 (/ h0 h1)) h5 (+ (* h6 (/ (pow h0 2) (pow h1 2))) 1) (+ (* h6 (/ (pow h0 2) (pow h1 2))) 1) 0.236 * * [simplify]: iteration 0 : 138 enodes (cost 457 ) 0.239 * * [simplify]: iteration 1 : 421 enodes (cost 413 ) 0.248 * * [simplify]: iteration 2 : 1765 enodes (cost 413 ) 0.283 * * [simplify]: iteration 3 : 5001 enodes (cost 413 ) 0.285 * * * [progress]: adding candidates to table 0.422 * * [progress]: iteration 2 / 4 0.422 * * * [progress]: picking best candidate 0.445 * * * * [pick]: Picked # 0.445 * * * [progress]: localizing error 0.445 * * * [progress]: generating rewritten candidates 0.445 * * * [progress]: generating series expansions 0.445 * * * [progress]: simplifying candidates 0.445 * [simplify]: Simplifying: 0.445 * [simplify]: Sending expressions to egg_math: 0.448 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.448 * * * [progress]: adding candidates to table 0.448 * * [progress]: iteration 3 / 4 0.448 * * * [progress]: picking best candidate 0.469 * * * * [pick]: Picked # 0.469 * * * [progress]: localizing error 0.486 * * * [progress]: generating rewritten candidates 0.486 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.489 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.492 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.495 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.501 * * * [progress]: generating series expansions 0.501 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.501 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 0.501 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 0.501 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.501 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.501 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.501 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.501 * [taylor]: Taking taylor expansion of 0.5 in y 0.501 * [backup-simplify]: Simplify 0.5 into 0.5 0.501 * [taylor]: Taking taylor expansion of (/ x y) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [backup-simplify]: Simplify x into x 0.501 * [taylor]: Taking taylor expansion of y in y 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ x 1) into x 0.501 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.501 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.501 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.501 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.501 * [taylor]: Taking taylor expansion of 0.5 in y 0.501 * [backup-simplify]: Simplify 0.5 into 0.5 0.501 * [taylor]: Taking taylor expansion of (/ x y) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [backup-simplify]: Simplify x into x 0.501 * [taylor]: Taking taylor expansion of y in y 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ x 1) into x 0.501 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.501 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.502 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.502 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.502 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.502 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.502 * [taylor]: Taking taylor expansion of 0.5 in x 0.502 * [backup-simplify]: Simplify 0.5 into 0.5 0.502 * [taylor]: Taking taylor expansion of (/ x y) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [backup-simplify]: Simplify y into y 0.502 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.502 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.502 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.502 * [taylor]: Taking taylor expansion of 0.5 in x 0.502 * [backup-simplify]: Simplify 0.5 into 0.5 0.502 * [taylor]: Taking taylor expansion of (/ x y) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [backup-simplify]: Simplify y into y 0.502 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.502 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.502 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.502 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.502 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.502 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.502 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.502 * [taylor]: Taking taylor expansion of 0.5 in x 0.502 * [backup-simplify]: Simplify 0.5 into 0.5 0.502 * [taylor]: Taking taylor expansion of (/ x y) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [backup-simplify]: Simplify y into y 0.503 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.503 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.503 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.503 * [taylor]: Taking taylor expansion of 0.5 in x 0.503 * [backup-simplify]: Simplify 0.5 into 0.5 0.503 * [taylor]: Taking taylor expansion of (/ x y) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [backup-simplify]: Simplify y into y 0.503 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.503 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.503 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.503 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.503 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.503 * [taylor]: Taking taylor expansion of 0.5 in y 0.503 * [backup-simplify]: Simplify 0.5 into 0.5 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.505 * [backup-simplify]: Simplify (+ 0) into 0 0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.508 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.508 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.508 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 0.508 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 0.508 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 0.508 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.508 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 0.515 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.515 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.515 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.515 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.515 * [taylor]: Taking taylor expansion of 0.5 in y 0.515 * [backup-simplify]: Simplify 0.5 into 0.5 0.515 * [taylor]: Taking taylor expansion of (/ y x) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of x in y 0.515 * [backup-simplify]: Simplify x into x 0.515 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.515 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.515 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.515 * [taylor]: Taking taylor expansion of 0.5 in y 0.515 * [backup-simplify]: Simplify 0.5 into 0.5 0.515 * [taylor]: Taking taylor expansion of (/ y x) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [taylor]: Taking taylor expansion of x in y 0.515 * [backup-simplify]: Simplify x into x 0.515 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.515 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.515 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.515 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.515 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.515 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.516 * [taylor]: Taking taylor expansion of 0.5 in x 0.516 * [backup-simplify]: Simplify 0.5 into 0.5 0.516 * [taylor]: Taking taylor expansion of (/ y x) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [backup-simplify]: Simplify y into y 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ y 1) into y 0.516 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.516 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.516 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.516 * [taylor]: Taking taylor expansion of 0.5 in x 0.516 * [backup-simplify]: Simplify 0.5 into 0.5 0.516 * [taylor]: Taking taylor expansion of (/ y x) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [backup-simplify]: Simplify y into y 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ y 1) into y 0.516 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.516 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.516 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.516 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.516 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.516 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.516 * [taylor]: Taking taylor expansion of 0.5 in x 0.516 * [backup-simplify]: Simplify 0.5 into 0.5 0.516 * [taylor]: Taking taylor expansion of (/ y x) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [backup-simplify]: Simplify y into y 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ y 1) into y 0.516 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.517 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.517 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.517 * [taylor]: Taking taylor expansion of 0.5 in x 0.517 * [backup-simplify]: Simplify 0.5 into 0.5 0.517 * [taylor]: Taking taylor expansion of (/ y x) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [backup-simplify]: Simplify y into y 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (/ y 1) into y 0.517 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.517 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.517 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.517 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.517 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.517 * [taylor]: Taking taylor expansion of 0.5 in y 0.517 * [backup-simplify]: Simplify 0.5 into 0.5 0.517 * [taylor]: Taking taylor expansion of (/ y x) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [taylor]: Taking taylor expansion of x in y 0.517 * [backup-simplify]: Simplify x into x 0.517 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.517 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.517 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.517 * [taylor]: Taking taylor expansion of 0.5 in y 0.517 * [backup-simplify]: Simplify 0.5 into 0.5 0.517 * [taylor]: Taking taylor expansion of (/ y x) in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [taylor]: Taking taylor expansion of x in y 0.517 * [backup-simplify]: Simplify x into x 0.517 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.518 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.518 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.518 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.518 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.518 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify 0 into 0 0.518 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.519 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.519 * [backup-simplify]: Simplify (+ 0) into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.521 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.522 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 0.522 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.523 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.524 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.525 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0.527 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 0.527 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.527 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.527 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.527 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.527 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.527 * [taylor]: Taking taylor expansion of 0.5 in y 0.527 * [backup-simplify]: Simplify 0.5 into 0.5 0.527 * [taylor]: Taking taylor expansion of (/ y x) in y 0.527 * [taylor]: Taking taylor expansion of y in y 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of x in y 0.527 * [backup-simplify]: Simplify x into x 0.528 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.528 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.528 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.528 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.528 * [taylor]: Taking taylor expansion of 0.5 in y 0.528 * [backup-simplify]: Simplify 0.5 into 0.5 0.528 * [taylor]: Taking taylor expansion of (/ y x) in y 0.528 * [taylor]: Taking taylor expansion of y in y 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [taylor]: Taking taylor expansion of x in y 0.528 * [backup-simplify]: Simplify x into x 0.528 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.528 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.528 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.528 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.528 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.528 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.528 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.528 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.528 * [taylor]: Taking taylor expansion of 0.5 in x 0.528 * [backup-simplify]: Simplify 0.5 into 0.5 0.528 * [taylor]: Taking taylor expansion of (/ y x) in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.528 * [backup-simplify]: Simplify y into y 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (/ y 1) into y 0.528 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.528 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.528 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.528 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.528 * [taylor]: Taking taylor expansion of 0.5 in x 0.528 * [backup-simplify]: Simplify 0.5 into 0.5 0.528 * [taylor]: Taking taylor expansion of (/ y x) in x 0.528 * [taylor]: Taking taylor expansion of y in x 0.528 * [backup-simplify]: Simplify y into y 0.528 * [taylor]: Taking taylor expansion of x in x 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (/ y 1) into y 0.529 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.529 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.529 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.529 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.529 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.529 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.529 * [taylor]: Taking taylor expansion of 0.5 in x 0.529 * [backup-simplify]: Simplify 0.5 into 0.5 0.529 * [taylor]: Taking taylor expansion of (/ y x) in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [backup-simplify]: Simplify y into y 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (/ y 1) into y 0.529 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.529 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.529 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.529 * [taylor]: Taking taylor expansion of 0.5 in x 0.529 * [backup-simplify]: Simplify 0.5 into 0.5 0.529 * [taylor]: Taking taylor expansion of (/ y x) in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [backup-simplify]: Simplify y into y 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (/ y 1) into y 0.529 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.529 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.530 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.530 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.530 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.530 * [taylor]: Taking taylor expansion of 0.5 in y 0.530 * [backup-simplify]: Simplify 0.5 into 0.5 0.530 * [taylor]: Taking taylor expansion of (/ y x) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [backup-simplify]: Simplify x into x 0.530 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.530 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.530 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.530 * [taylor]: Taking taylor expansion of 0.5 in y 0.530 * [backup-simplify]: Simplify 0.5 into 0.5 0.530 * [taylor]: Taking taylor expansion of (/ y x) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [taylor]: Taking taylor expansion of x in y 0.530 * [backup-simplify]: Simplify x into x 0.530 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.530 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.530 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.530 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.531 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.531 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.532 * [backup-simplify]: Simplify (+ 0) into 0 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.534 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.535 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 0.535 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.535 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.535 * [taylor]: Taking taylor expansion of 0 in y 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.537 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.537 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.538 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0.540 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 0.540 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 0.540 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 0.540 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.540 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.540 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.540 * [taylor]: Taking taylor expansion of 0.5 in y 0.540 * [backup-simplify]: Simplify 0.5 into 0.5 0.540 * [taylor]: Taking taylor expansion of (/ x y) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [backup-simplify]: Simplify x into x 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ x 1) into x 0.540 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.540 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.540 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.540 * [taylor]: Taking taylor expansion of 0.5 in y 0.540 * [backup-simplify]: Simplify 0.5 into 0.5 0.540 * [taylor]: Taking taylor expansion of (/ x y) in y 0.540 * [taylor]: Taking taylor expansion of x in y 0.540 * [backup-simplify]: Simplify x into x 0.540 * [taylor]: Taking taylor expansion of y in y 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ x 1) into x 0.540 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.540 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.540 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.540 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.540 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.541 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.541 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.541 * [taylor]: Taking taylor expansion of 0.5 in x 0.541 * [backup-simplify]: Simplify 0.5 into 0.5 0.541 * [taylor]: Taking taylor expansion of (/ x y) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [backup-simplify]: Simplify y into y 0.541 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.541 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.541 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.541 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.541 * [taylor]: Taking taylor expansion of 0.5 in x 0.541 * [backup-simplify]: Simplify 0.5 into 0.5 0.541 * [taylor]: Taking taylor expansion of (/ x y) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [backup-simplify]: Simplify y into y 0.541 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.541 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.541 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.541 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.541 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.541 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.541 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.541 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.541 * [taylor]: Taking taylor expansion of 0.5 in x 0.541 * [backup-simplify]: Simplify 0.5 into 0.5 0.541 * [taylor]: Taking taylor expansion of (/ x y) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [taylor]: Taking taylor expansion of y in x 0.541 * [backup-simplify]: Simplify y into y 0.541 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.541 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.541 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.541 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.542 * [taylor]: Taking taylor expansion of 0.5 in x 0.542 * [backup-simplify]: Simplify 0.5 into 0.5 0.542 * [taylor]: Taking taylor expansion of (/ x y) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [backup-simplify]: Simplify y into y 0.542 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.542 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.542 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.542 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.542 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.542 * [taylor]: Taking taylor expansion of 0.5 in y 0.542 * [backup-simplify]: Simplify 0.5 into 0.5 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.544 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.544 * [backup-simplify]: Simplify (+ 0) into 0 0.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.544 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.546 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.547 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 0.547 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 0.547 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 0.547 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.547 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 0.553 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.553 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.553 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.553 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.553 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.553 * [taylor]: Taking taylor expansion of 0.5 in y 0.553 * [backup-simplify]: Simplify 0.5 into 0.5 0.553 * [taylor]: Taking taylor expansion of (/ y x) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [taylor]: Taking taylor expansion of x in y 0.553 * [backup-simplify]: Simplify x into x 0.553 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.553 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.553 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.553 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.553 * [taylor]: Taking taylor expansion of 0.5 in y 0.553 * [backup-simplify]: Simplify 0.5 into 0.5 0.553 * [taylor]: Taking taylor expansion of (/ y x) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.553 * [taylor]: Taking taylor expansion of x in y 0.554 * [backup-simplify]: Simplify x into x 0.554 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.554 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.554 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.554 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.554 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.554 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.554 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.554 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.554 * [taylor]: Taking taylor expansion of 0.5 in x 0.554 * [backup-simplify]: Simplify 0.5 into 0.5 0.554 * [taylor]: Taking taylor expansion of (/ y x) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [backup-simplify]: Simplify y into y 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (/ y 1) into y 0.554 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.554 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.554 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.554 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.554 * [taylor]: Taking taylor expansion of 0.5 in x 0.554 * [backup-simplify]: Simplify 0.5 into 0.5 0.554 * [taylor]: Taking taylor expansion of (/ y x) in x 0.554 * [taylor]: Taking taylor expansion of y in x 0.554 * [backup-simplify]: Simplify y into y 0.554 * [taylor]: Taking taylor expansion of x in x 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [backup-simplify]: Simplify (/ y 1) into y 0.554 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.555 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.555 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.555 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.555 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.555 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.555 * [taylor]: Taking taylor expansion of 0.5 in x 0.555 * [backup-simplify]: Simplify 0.5 into 0.5 0.555 * [taylor]: Taking taylor expansion of (/ y x) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.555 * [backup-simplify]: Simplify y into y 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ y 1) into y 0.555 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.555 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.555 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.555 * [taylor]: Taking taylor expansion of 0.5 in x 0.555 * [backup-simplify]: Simplify 0.5 into 0.5 0.555 * [taylor]: Taking taylor expansion of (/ y x) in x 0.555 * [taylor]: Taking taylor expansion of y in x 0.555 * [backup-simplify]: Simplify y into y 0.555 * [taylor]: Taking taylor expansion of x in x 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ y 1) into y 0.555 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.555 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.555 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.556 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.556 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.556 * [taylor]: Taking taylor expansion of 0.5 in y 0.556 * [backup-simplify]: Simplify 0.5 into 0.5 0.556 * [taylor]: Taking taylor expansion of (/ y x) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [taylor]: Taking taylor expansion of x in y 0.556 * [backup-simplify]: Simplify x into x 0.556 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.556 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.556 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.556 * [taylor]: Taking taylor expansion of 0.5 in y 0.556 * [backup-simplify]: Simplify 0.5 into 0.5 0.556 * [taylor]: Taking taylor expansion of (/ y x) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [taylor]: Taking taylor expansion of x in y 0.556 * [backup-simplify]: Simplify x into x 0.556 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.556 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.556 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.556 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.556 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.556 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.557 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.560 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.561 * [backup-simplify]: Simplify (+ 0) into 0 0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.562 * [taylor]: Taking taylor expansion of 0 in y 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.564 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 0.564 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.564 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.564 * [taylor]: Taking taylor expansion of 0 in y 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.566 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.566 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.567 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.568 * [taylor]: Taking taylor expansion of 0 in y 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0.569 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 0.569 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.569 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.569 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.569 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.569 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.569 * [taylor]: Taking taylor expansion of 0.5 in y 0.569 * [backup-simplify]: Simplify 0.5 into 0.5 0.569 * [taylor]: Taking taylor expansion of (/ y x) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [backup-simplify]: Simplify x into x 0.569 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.569 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.569 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.569 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.569 * [taylor]: Taking taylor expansion of 0.5 in y 0.569 * [backup-simplify]: Simplify 0.5 into 0.5 0.569 * [taylor]: Taking taylor expansion of (/ y x) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [taylor]: Taking taylor expansion of x in y 0.569 * [backup-simplify]: Simplify x into x 0.569 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.569 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.569 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.569 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.569 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.569 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.570 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.570 * [taylor]: Taking taylor expansion of 0.5 in x 0.570 * [backup-simplify]: Simplify 0.5 into 0.5 0.570 * [taylor]: Taking taylor expansion of (/ y x) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [backup-simplify]: Simplify y into y 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (/ y 1) into y 0.570 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.570 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.570 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.570 * [taylor]: Taking taylor expansion of 0.5 in x 0.570 * [backup-simplify]: Simplify 0.5 into 0.5 0.570 * [taylor]: Taking taylor expansion of (/ y x) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [backup-simplify]: Simplify y into y 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (/ y 1) into y 0.570 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.570 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.570 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.570 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.570 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.570 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.570 * [taylor]: Taking taylor expansion of 0.5 in x 0.570 * [backup-simplify]: Simplify 0.5 into 0.5 0.570 * [taylor]: Taking taylor expansion of (/ y x) in x 0.570 * [taylor]: Taking taylor expansion of y in x 0.570 * [backup-simplify]: Simplify y into y 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (/ y 1) into y 0.571 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.571 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.571 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.571 * [taylor]: Taking taylor expansion of 0.5 in x 0.571 * [backup-simplify]: Simplify 0.5 into 0.5 0.571 * [taylor]: Taking taylor expansion of (/ y x) in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [backup-simplify]: Simplify y into y 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (/ y 1) into y 0.571 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.571 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.571 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.571 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.571 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.571 * [taylor]: Taking taylor expansion of 0.5 in y 0.571 * [backup-simplify]: Simplify 0.5 into 0.5 0.571 * [taylor]: Taking taylor expansion of (/ y x) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [backup-simplify]: Simplify x into x 0.571 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.571 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.571 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.571 * [taylor]: Taking taylor expansion of 0.5 in y 0.571 * [backup-simplify]: Simplify 0.5 into 0.5 0.571 * [taylor]: Taking taylor expansion of (/ y x) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [backup-simplify]: Simplify x into x 0.571 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.571 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.572 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.572 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.572 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.572 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.573 * [backup-simplify]: Simplify (+ 0) into 0 0.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.574 * [taylor]: Taking taylor expansion of 0 in y 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.575 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.576 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 0.576 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.576 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.577 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.577 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.578 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.578 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.579 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0.581 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.581 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 0.581 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 0.581 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.581 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.581 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.581 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.581 * [taylor]: Taking taylor expansion of 0.5 in y 0.581 * [backup-simplify]: Simplify 0.5 into 0.5 0.581 * [taylor]: Taking taylor expansion of (/ x y) in y 0.581 * [taylor]: Taking taylor expansion of x in y 0.581 * [backup-simplify]: Simplify x into x 0.581 * [taylor]: Taking taylor expansion of y in y 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (/ x 1) into x 0.581 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.581 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.581 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.581 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.581 * [taylor]: Taking taylor expansion of 0.5 in y 0.582 * [backup-simplify]: Simplify 0.5 into 0.5 0.582 * [taylor]: Taking taylor expansion of (/ x y) in y 0.582 * [taylor]: Taking taylor expansion of x in y 0.582 * [backup-simplify]: Simplify x into x 0.582 * [taylor]: Taking taylor expansion of y in y 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (/ x 1) into x 0.582 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.582 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.582 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.582 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.582 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.582 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.582 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.582 * [taylor]: Taking taylor expansion of 0.5 in x 0.582 * [backup-simplify]: Simplify 0.5 into 0.5 0.582 * [taylor]: Taking taylor expansion of (/ x y) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [taylor]: Taking taylor expansion of y in x 0.582 * [backup-simplify]: Simplify y into y 0.582 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.582 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.582 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.582 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.582 * [taylor]: Taking taylor expansion of 0.5 in x 0.582 * [backup-simplify]: Simplify 0.5 into 0.5 0.582 * [taylor]: Taking taylor expansion of (/ x y) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [taylor]: Taking taylor expansion of y in x 0.582 * [backup-simplify]: Simplify y into y 0.582 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.582 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.583 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.583 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.583 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.583 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.583 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.583 * [taylor]: Taking taylor expansion of 0.5 in x 0.583 * [backup-simplify]: Simplify 0.5 into 0.5 0.583 * [taylor]: Taking taylor expansion of (/ x y) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [backup-simplify]: Simplify y into y 0.583 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.583 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.583 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.583 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.583 * [taylor]: Taking taylor expansion of 0.5 in x 0.583 * [backup-simplify]: Simplify 0.5 into 0.5 0.583 * [taylor]: Taking taylor expansion of (/ x y) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [backup-simplify]: Simplify y into y 0.583 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.583 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.583 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.583 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.583 * [taylor]: Taking taylor expansion of 0.5 in y 0.583 * [backup-simplify]: Simplify 0.5 into 0.5 0.583 * [taylor]: Taking taylor expansion of y in y 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.585 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.585 * [backup-simplify]: Simplify (+ 0) into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.586 * [taylor]: Taking taylor expansion of 0 in y 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.588 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.588 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 0.588 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 0.588 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 0.588 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.588 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (* 1 1) into 1 0.589 * [backup-simplify]: Simplify (* 1 1) into 1 0.589 * [backup-simplify]: Simplify (/ 1 1) into 1 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 0.594 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.594 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.594 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.594 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.595 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.595 * [taylor]: Taking taylor expansion of 0.5 in y 0.595 * [backup-simplify]: Simplify 0.5 into 0.5 0.595 * [taylor]: Taking taylor expansion of (/ y x) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [taylor]: Taking taylor expansion of x in y 0.595 * [backup-simplify]: Simplify x into x 0.595 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.595 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.595 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.595 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.595 * [taylor]: Taking taylor expansion of 0.5 in y 0.595 * [backup-simplify]: Simplify 0.5 into 0.5 0.595 * [taylor]: Taking taylor expansion of (/ y x) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [taylor]: Taking taylor expansion of x in y 0.595 * [backup-simplify]: Simplify x into x 0.595 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.595 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.595 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.595 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.595 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.595 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.595 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.595 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.595 * [taylor]: Taking taylor expansion of 0.5 in x 0.595 * [backup-simplify]: Simplify 0.5 into 0.5 0.595 * [taylor]: Taking taylor expansion of (/ y x) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [backup-simplify]: Simplify y into y 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 1 into 1 0.595 * [backup-simplify]: Simplify (/ y 1) into y 0.595 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.595 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.596 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.596 * [taylor]: Taking taylor expansion of 0.5 in x 0.596 * [backup-simplify]: Simplify 0.5 into 0.5 0.596 * [taylor]: Taking taylor expansion of (/ y x) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [backup-simplify]: Simplify y into y 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (/ y 1) into y 0.596 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.596 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.596 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.596 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.596 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.596 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.596 * [taylor]: Taking taylor expansion of 0.5 in x 0.596 * [backup-simplify]: Simplify 0.5 into 0.5 0.596 * [taylor]: Taking taylor expansion of (/ y x) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [backup-simplify]: Simplify y into y 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (/ y 1) into y 0.596 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.596 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.596 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.596 * [taylor]: Taking taylor expansion of 0.5 in x 0.596 * [backup-simplify]: Simplify 0.5 into 0.5 0.596 * [taylor]: Taking taylor expansion of (/ y x) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [backup-simplify]: Simplify y into y 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (/ y 1) into y 0.596 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.597 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.597 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.597 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.597 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.597 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.597 * [taylor]: Taking taylor expansion of 0.5 in y 0.597 * [backup-simplify]: Simplify 0.5 into 0.5 0.597 * [taylor]: Taking taylor expansion of (/ y x) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of x in y 0.597 * [backup-simplify]: Simplify x into x 0.597 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.597 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.597 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.597 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.597 * [taylor]: Taking taylor expansion of 0.5 in y 0.597 * [backup-simplify]: Simplify 0.5 into 0.5 0.597 * [taylor]: Taking taylor expansion of (/ y x) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [taylor]: Taking taylor expansion of x in y 0.597 * [backup-simplify]: Simplify x into x 0.597 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.597 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.597 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.597 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.597 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.598 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.598 * [taylor]: Taking taylor expansion of 0 in y 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.599 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.599 * [backup-simplify]: Simplify (+ 0) into 0 0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.601 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.602 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 0.602 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.602 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.603 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.604 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.604 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.605 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0.607 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 0.607 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.607 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.607 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.607 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.607 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.607 * [taylor]: Taking taylor expansion of 0.5 in y 0.607 * [backup-simplify]: Simplify 0.5 into 0.5 0.607 * [taylor]: Taking taylor expansion of (/ y x) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [backup-simplify]: Simplify x into x 0.607 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.607 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.607 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.607 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.607 * [taylor]: Taking taylor expansion of 0.5 in y 0.607 * [backup-simplify]: Simplify 0.5 into 0.5 0.607 * [taylor]: Taking taylor expansion of (/ y x) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [backup-simplify]: Simplify x into x 0.607 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.608 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.608 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.608 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.608 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.608 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.608 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.608 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.608 * [taylor]: Taking taylor expansion of 0.5 in x 0.608 * [backup-simplify]: Simplify 0.5 into 0.5 0.608 * [taylor]: Taking taylor expansion of (/ y x) in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [backup-simplify]: Simplify y into y 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (/ y 1) into y 0.608 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.608 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.608 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.608 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.608 * [taylor]: Taking taylor expansion of 0.5 in x 0.608 * [backup-simplify]: Simplify 0.5 into 0.5 0.608 * [taylor]: Taking taylor expansion of (/ y x) in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [backup-simplify]: Simplify y into y 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (/ y 1) into y 0.608 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.608 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.608 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.609 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.609 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.609 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.609 * [taylor]: Taking taylor expansion of 0.5 in x 0.609 * [backup-simplify]: Simplify 0.5 into 0.5 0.609 * [taylor]: Taking taylor expansion of (/ y x) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [backup-simplify]: Simplify y into y 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (/ y 1) into y 0.609 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.609 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.609 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.609 * [taylor]: Taking taylor expansion of 0.5 in x 0.609 * [backup-simplify]: Simplify 0.5 into 0.5 0.609 * [taylor]: Taking taylor expansion of (/ y x) in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [backup-simplify]: Simplify y into y 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (/ y 1) into y 0.609 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.609 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.609 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.609 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.609 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.609 * [taylor]: Taking taylor expansion of 0.5 in y 0.609 * [backup-simplify]: Simplify 0.5 into 0.5 0.609 * [taylor]: Taking taylor expansion of (/ y x) in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [taylor]: Taking taylor expansion of x in y 0.609 * [backup-simplify]: Simplify x into x 0.609 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.610 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.610 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.610 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.610 * [taylor]: Taking taylor expansion of 0.5 in y 0.610 * [backup-simplify]: Simplify 0.5 into 0.5 0.610 * [taylor]: Taking taylor expansion of (/ y x) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [backup-simplify]: Simplify x into x 0.610 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.610 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.610 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.610 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.610 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.611 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.611 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.611 * [backup-simplify]: Simplify (+ 0) into 0 0.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.612 * [taylor]: Taking taylor expansion of 0 in y 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.613 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.614 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 0.614 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.615 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.617 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.617 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.617 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.619 * [taylor]: Taking taylor expansion of 0 in y 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0.619 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.619 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 0.619 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 0.619 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.619 * [taylor]: Taking taylor expansion of 0.5 in y 0.619 * [backup-simplify]: Simplify 0.5 into 0.5 0.619 * [taylor]: Taking taylor expansion of (/ x y) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [backup-simplify]: Simplify x into x 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (/ x 1) into x 0.620 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.620 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.620 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.620 * [taylor]: Taking taylor expansion of 0.5 in x 0.620 * [backup-simplify]: Simplify 0.5 into 0.5 0.620 * [taylor]: Taking taylor expansion of (/ x y) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [backup-simplify]: Simplify y into y 0.620 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.620 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.620 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.620 * [taylor]: Taking taylor expansion of 0.5 in x 0.620 * [backup-simplify]: Simplify 0.5 into 0.5 0.620 * [taylor]: Taking taylor expansion of (/ x y) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [backup-simplify]: Simplify y into y 0.620 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.620 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.620 * [taylor]: Taking taylor expansion of 0.5 in y 0.620 * [backup-simplify]: Simplify 0.5 into 0.5 0.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (/ 1 1) into 1 0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.622 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 0.624 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.624 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.624 * [taylor]: Taking taylor expansion of 0.5 in y 0.624 * [backup-simplify]: Simplify 0.5 into 0.5 0.624 * [taylor]: Taking taylor expansion of (/ y x) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [taylor]: Taking taylor expansion of x in y 0.624 * [backup-simplify]: Simplify x into x 0.624 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.624 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.624 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.624 * [taylor]: Taking taylor expansion of 0.5 in x 0.624 * [backup-simplify]: Simplify 0.5 into 0.5 0.624 * [taylor]: Taking taylor expansion of (/ y x) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [backup-simplify]: Simplify y into y 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (/ y 1) into y 0.624 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.624 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.624 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.624 * [taylor]: Taking taylor expansion of 0.5 in x 0.624 * [backup-simplify]: Simplify 0.5 into 0.5 0.624 * [taylor]: Taking taylor expansion of (/ y x) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [backup-simplify]: Simplify y into y 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (/ y 1) into y 0.624 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.624 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.624 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.624 * [taylor]: Taking taylor expansion of 0.5 in y 0.624 * [backup-simplify]: Simplify 0.5 into 0.5 0.625 * [taylor]: Taking taylor expansion of (/ y x) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [backup-simplify]: Simplify x into x 0.625 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.625 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.625 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.625 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.626 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 0.626 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 0.626 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.626 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.626 * [taylor]: Taking taylor expansion of 0.5 in y 0.626 * [backup-simplify]: Simplify 0.5 into 0.5 0.626 * [taylor]: Taking taylor expansion of (/ y x) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of x in y 0.626 * [backup-simplify]: Simplify x into x 0.626 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.626 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.626 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.626 * [taylor]: Taking taylor expansion of 0.5 in x 0.627 * [backup-simplify]: Simplify 0.5 into 0.5 0.627 * [taylor]: Taking taylor expansion of (/ y x) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [backup-simplify]: Simplify y into y 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (/ y 1) into y 0.627 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.627 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.627 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.627 * [taylor]: Taking taylor expansion of 0.5 in x 0.627 * [backup-simplify]: Simplify 0.5 into 0.5 0.627 * [taylor]: Taking taylor expansion of (/ y x) in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [backup-simplify]: Simplify y into y 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (/ y 1) into y 0.627 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.627 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.627 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.627 * [taylor]: Taking taylor expansion of 0.5 in y 0.627 * [backup-simplify]: Simplify 0.5 into 0.5 0.627 * [taylor]: Taking taylor expansion of (/ y x) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [backup-simplify]: Simplify x into x 0.627 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.627 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.628 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.628 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [taylor]: Taking taylor expansion of 0 in y 0.628 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 0.629 * * * [progress]: simplifying candidates 0.629 * [simplify]: Simplifying: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 0.629 * [simplify]: Sending expressions to egg_math: (sin (/ h0 (* h1 h2))) (cos (/ h0 (* h1 h2))) (log (tan (/ h0 (* h1 h2)))) (exp (tan (/ h0 (* h1 h2)))) (* (cbrt (tan (/ h0 (* h1 h2)))) (cbrt (tan (/ h0 (* h1 h2))))) (cbrt (tan (/ h0 (* h1 h2)))) (* (* (tan (/ h0 (* h1 h2))) (tan (/ h0 (* h1 h2)))) (tan (/ h0 (* h1 h2)))) (sqrt (tan (/ h0 (* h1 h2)))) (sqrt (tan (/ h0 (* h1 h2)))) (sin (/ h0 (* h1 h2))) (cos (/ h0 (* h1 h2))) (log (tan (/ h0 (* h1 h2)))) (exp (tan (/ h0 (* h1 h2)))) (* (cbrt (tan (/ h0 (* h1 h2)))) (cbrt (tan (/ h0 (* h1 h2))))) (cbrt (tan (/ h0 (* h1 h2)))) (* (* (tan (/ h0 (* h1 h2))) (tan (/ h0 (* h1 h2)))) (tan (/ h0 (* h1 h2)))) (sqrt (tan (/ h0 (* h1 h2)))) (sqrt (tan (/ h0 (* h1 h2)))) (sin (/ h0 (* h1 h2))) (cos (/ h0 (* h1 h2))) (log (tan (/ h0 (* h1 h2)))) (exp (tan (/ h0 (* h1 h2)))) (* (cbrt (tan (/ h0 (* h1 h2)))) (cbrt (tan (/ h0 (* h1 h2))))) (cbrt (tan (/ h0 (* h1 h2)))) (* (* (tan (/ h0 (* h1 h2))) (tan (/ h0 (* h1 h2)))) (tan (/ h0 (* h1 h2)))) (sqrt (tan (/ h0 (* h1 h2)))) (sqrt (tan (/ h0 (* h1 h2)))) (log (sin (/ h0 (* h1 h2)))) (exp (sin (/ h0 (* h1 h2)))) (* (cbrt (sin (/ h0 (* h1 h2)))) (cbrt (sin (/ h0 (* h1 h2))))) (cbrt (sin (/ h0 (* h1 h2)))) (* (* (sin (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) (sin (/ h0 (* h1 h2)))) (sqrt (sin (/ h0 (* h1 h2)))) (sqrt (sin (/ h0 (* h1 h2)))) 0 (+ (* h3 (/ (pow h0 3) (pow h1 3))) (* h4 (/ h0 h1))) (+ (* h3 (/ (pow h0 3) (pow h1 3))) (* h4 (/ h0 h1))) 0 (+ (* h3 (/ (pow h0 3) (pow h1 3))) (* h4 (/ h0 h1))) (+ (* h3 (/ (pow h0 3) (pow h1 3))) (* h4 (/ h0 h1))) 0 (+ (* h3 (/ (pow h0 3) (pow h1 3))) (* h4 (/ h0 h1))) (+ (* h3 (/ (pow h0 3) (pow h1 3))) (* h4 (/ h0 h1))) 0 (* h4 (/ h0 h1)) (* h4 (/ h0 h1)) 0.632 * * [simplify]: iteration 0 : 56 enodes (cost 224 ) 0.634 * * [simplify]: iteration 1 : 123 enodes (cost 196 ) 0.636 * * [simplify]: iteration 2 : 434 enodes (cost 196 ) 0.644 * * [simplify]: iteration 3 : 1952 enodes (cost 196 ) 0.675 * * [simplify]: iteration 4 : 5001 enodes (cost 196 ) 0.677 * * * [progress]: adding candidates to table 0.812 * * [progress]: iteration 4 / 4 0.812 * * * [progress]: picking best candidate 0.836 * * * * [pick]: Picked # 0.836 * * * [progress]: localizing error 0.849 * * * [progress]: generating rewritten candidates 0.849 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.852 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 0.856 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.869 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.881 * * * [progress]: generating series expansions 0.881 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.881 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 0.882 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 0.882 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.882 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.882 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.882 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.882 * [taylor]: Taking taylor expansion of 0.5 in y 0.882 * [backup-simplify]: Simplify 0.5 into 0.5 0.882 * [taylor]: Taking taylor expansion of (/ x y) in y 0.882 * [taylor]: Taking taylor expansion of x in y 0.882 * [backup-simplify]: Simplify x into x 0.882 * [taylor]: Taking taylor expansion of y in y 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (/ x 1) into x 0.882 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.882 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.882 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.882 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.882 * [taylor]: Taking taylor expansion of 0.5 in y 0.882 * [backup-simplify]: Simplify 0.5 into 0.5 0.882 * [taylor]: Taking taylor expansion of (/ x y) in y 0.882 * [taylor]: Taking taylor expansion of x in y 0.882 * [backup-simplify]: Simplify x into x 0.882 * [taylor]: Taking taylor expansion of y in y 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (/ x 1) into x 0.882 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.882 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.882 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.882 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.882 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.882 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.882 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.882 * [taylor]: Taking taylor expansion of 0.5 in x 0.883 * [backup-simplify]: Simplify 0.5 into 0.5 0.883 * [taylor]: Taking taylor expansion of (/ x y) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [taylor]: Taking taylor expansion of y in x 0.883 * [backup-simplify]: Simplify y into y 0.883 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.883 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.883 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.883 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.883 * [taylor]: Taking taylor expansion of 0.5 in x 0.883 * [backup-simplify]: Simplify 0.5 into 0.5 0.883 * [taylor]: Taking taylor expansion of (/ x y) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [taylor]: Taking taylor expansion of y in x 0.883 * [backup-simplify]: Simplify y into y 0.883 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.883 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.883 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.883 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.883 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.883 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.883 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.883 * [taylor]: Taking taylor expansion of 0.5 in x 0.883 * [backup-simplify]: Simplify 0.5 into 0.5 0.883 * [taylor]: Taking taylor expansion of (/ x y) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [taylor]: Taking taylor expansion of y in x 0.883 * [backup-simplify]: Simplify y into y 0.883 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.883 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.883 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.883 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.883 * [taylor]: Taking taylor expansion of 0.5 in x 0.883 * [backup-simplify]: Simplify 0.5 into 0.5 0.884 * [taylor]: Taking taylor expansion of (/ x y) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [backup-simplify]: Simplify y into y 0.884 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.884 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.884 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.884 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.884 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.884 * [taylor]: Taking taylor expansion of 0.5 in y 0.884 * [backup-simplify]: Simplify 0.5 into 0.5 0.884 * [taylor]: Taking taylor expansion of y in y 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.885 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.886 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.886 * [backup-simplify]: Simplify (+ 0) into 0 0.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.887 * [taylor]: Taking taylor expansion of 0 in y 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.888 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.888 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.889 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.889 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 0.889 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 0.889 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 0.889 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.889 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (* 1 1) into 1 0.890 * [backup-simplify]: Simplify (* 1 1) into 1 0.890 * [backup-simplify]: Simplify (/ 1 1) into 1 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 0.895 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.895 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.895 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.895 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.895 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.895 * [taylor]: Taking taylor expansion of 0.5 in y 0.895 * [backup-simplify]: Simplify 0.5 into 0.5 0.895 * [taylor]: Taking taylor expansion of (/ y x) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [backup-simplify]: Simplify x into x 0.896 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.896 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.896 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.896 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.896 * [taylor]: Taking taylor expansion of 0.5 in y 0.896 * [backup-simplify]: Simplify 0.5 into 0.5 0.896 * [taylor]: Taking taylor expansion of (/ y x) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [taylor]: Taking taylor expansion of x in y 0.896 * [backup-simplify]: Simplify x into x 0.896 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.896 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.896 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.896 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.896 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.896 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.896 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.896 * [taylor]: Taking taylor expansion of 0.5 in x 0.896 * [backup-simplify]: Simplify 0.5 into 0.5 0.896 * [taylor]: Taking taylor expansion of (/ y x) in x 0.896 * [taylor]: Taking taylor expansion of y in x 0.896 * [backup-simplify]: Simplify y into y 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (/ y 1) into y 0.896 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.896 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.896 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.896 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.896 * [taylor]: Taking taylor expansion of 0.5 in x 0.897 * [backup-simplify]: Simplify 0.5 into 0.5 0.897 * [taylor]: Taking taylor expansion of (/ y x) in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [backup-simplify]: Simplify y into y 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (/ y 1) into y 0.897 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.897 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.897 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.897 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.897 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.897 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.897 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.897 * [taylor]: Taking taylor expansion of 0.5 in x 0.897 * [backup-simplify]: Simplify 0.5 into 0.5 0.897 * [taylor]: Taking taylor expansion of (/ y x) in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [backup-simplify]: Simplify y into y 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (/ y 1) into y 0.897 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.897 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.897 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.897 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.897 * [taylor]: Taking taylor expansion of 0.5 in x 0.897 * [backup-simplify]: Simplify 0.5 into 0.5 0.897 * [taylor]: Taking taylor expansion of (/ y x) in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [backup-simplify]: Simplify y into y 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (/ y 1) into y 0.897 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.897 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.898 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.898 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.898 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.898 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.898 * [taylor]: Taking taylor expansion of 0.5 in y 0.898 * [backup-simplify]: Simplify 0.5 into 0.5 0.898 * [taylor]: Taking taylor expansion of (/ y x) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [taylor]: Taking taylor expansion of x in y 0.898 * [backup-simplify]: Simplify x into x 0.898 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.898 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.898 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.898 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.898 * [taylor]: Taking taylor expansion of 0.5 in y 0.898 * [backup-simplify]: Simplify 0.5 into 0.5 0.898 * [taylor]: Taking taylor expansion of (/ y x) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [taylor]: Taking taylor expansion of x in y 0.898 * [backup-simplify]: Simplify x into x 0.898 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.898 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.898 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.898 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.898 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.899 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.900 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.900 * [backup-simplify]: Simplify (+ 0) into 0 0.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.901 * [taylor]: Taking taylor expansion of 0 in y 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.902 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.903 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 0.903 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.903 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.903 * [taylor]: Taking taylor expansion of 0 in y 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.905 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.905 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.905 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.906 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.907 * [taylor]: Taking taylor expansion of 0 in y 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0.908 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 0.908 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.908 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.908 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.908 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.908 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.908 * [taylor]: Taking taylor expansion of 0.5 in y 0.908 * [backup-simplify]: Simplify 0.5 into 0.5 0.908 * [taylor]: Taking taylor expansion of (/ y x) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [backup-simplify]: Simplify x into x 0.908 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.908 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.908 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.908 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.908 * [taylor]: Taking taylor expansion of 0.5 in y 0.908 * [backup-simplify]: Simplify 0.5 into 0.5 0.908 * [taylor]: Taking taylor expansion of (/ y x) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of x in y 0.908 * [backup-simplify]: Simplify x into x 0.908 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.908 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.908 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.908 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.908 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.909 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.909 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.909 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.909 * [taylor]: Taking taylor expansion of 0.5 in x 0.909 * [backup-simplify]: Simplify 0.5 into 0.5 0.909 * [taylor]: Taking taylor expansion of (/ y x) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [backup-simplify]: Simplify y into y 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (/ y 1) into y 0.909 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.909 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.909 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.909 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.909 * [taylor]: Taking taylor expansion of 0.5 in x 0.909 * [backup-simplify]: Simplify 0.5 into 0.5 0.909 * [taylor]: Taking taylor expansion of (/ y x) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [backup-simplify]: Simplify y into y 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (/ y 1) into y 0.909 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.909 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.909 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.909 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.909 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.909 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.909 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.909 * [taylor]: Taking taylor expansion of 0.5 in x 0.909 * [backup-simplify]: Simplify 0.5 into 0.5 0.909 * [taylor]: Taking taylor expansion of (/ y x) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [backup-simplify]: Simplify y into y 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (/ y 1) into y 0.910 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.910 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.910 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.910 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.910 * [taylor]: Taking taylor expansion of 0.5 in x 0.910 * [backup-simplify]: Simplify 0.5 into 0.5 0.910 * [taylor]: Taking taylor expansion of (/ y x) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [backup-simplify]: Simplify y into y 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (/ y 1) into y 0.910 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.910 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.910 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.910 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.910 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.910 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.910 * [taylor]: Taking taylor expansion of 0.5 in y 0.910 * [backup-simplify]: Simplify 0.5 into 0.5 0.910 * [taylor]: Taking taylor expansion of (/ y x) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [backup-simplify]: Simplify x into x 0.910 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.910 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.910 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.910 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.910 * [taylor]: Taking taylor expansion of 0.5 in y 0.910 * [backup-simplify]: Simplify 0.5 into 0.5 0.910 * [taylor]: Taking taylor expansion of (/ y x) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [backup-simplify]: Simplify x into x 0.910 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.911 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.911 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.911 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.911 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.911 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.911 * [taylor]: Taking taylor expansion of 0 in y 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.912 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.912 * [backup-simplify]: Simplify (+ 0) into 0 0.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.913 * [taylor]: Taking taylor expansion of 0 in y 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.915 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 0.915 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.915 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.916 * [taylor]: Taking taylor expansion of 0 in y 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.916 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.917 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.917 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.918 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow x 3))) (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.919 * [taylor]: Taking taylor expansion of 0 in y 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0.920 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 0.920 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 0.920 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 0.920 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.920 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.920 * [taylor]: Taking taylor expansion of 0.5 in y 0.920 * [backup-simplify]: Simplify 0.5 into 0.5 0.920 * [taylor]: Taking taylor expansion of (/ x y) in y 0.920 * [taylor]: Taking taylor expansion of x in y 0.920 * [backup-simplify]: Simplify x into x 0.920 * [taylor]: Taking taylor expansion of y in y 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (/ x 1) into x 0.920 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.920 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.920 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.920 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.920 * [taylor]: Taking taylor expansion of 0.5 in x 0.920 * [backup-simplify]: Simplify 0.5 into 0.5 0.920 * [taylor]: Taking taylor expansion of (/ x y) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of y in x 0.920 * [backup-simplify]: Simplify y into y 0.921 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.921 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.921 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.921 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.921 * [taylor]: Taking taylor expansion of 0.5 in x 0.921 * [backup-simplify]: Simplify 0.5 into 0.5 0.921 * [taylor]: Taking taylor expansion of (/ x y) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of y in x 0.921 * [backup-simplify]: Simplify y into y 0.921 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.921 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.921 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.921 * [taylor]: Taking taylor expansion of 0.5 in y 0.921 * [backup-simplify]: Simplify 0.5 into 0.5 0.921 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify (/ 1 1) into 1 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.923 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.923 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.923 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 0.924 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.924 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.924 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.924 * [taylor]: Taking taylor expansion of 0.5 in y 0.924 * [backup-simplify]: Simplify 0.5 into 0.5 0.924 * [taylor]: Taking taylor expansion of (/ y x) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [taylor]: Taking taylor expansion of x in y 0.924 * [backup-simplify]: Simplify x into x 0.924 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.924 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.925 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.925 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.925 * [taylor]: Taking taylor expansion of 0.5 in x 0.925 * [backup-simplify]: Simplify 0.5 into 0.5 0.925 * [taylor]: Taking taylor expansion of (/ y x) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [backup-simplify]: Simplify y into y 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (/ y 1) into y 0.925 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.925 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.925 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.925 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.925 * [taylor]: Taking taylor expansion of 0.5 in x 0.925 * [backup-simplify]: Simplify 0.5 into 0.5 0.925 * [taylor]: Taking taylor expansion of (/ y x) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [backup-simplify]: Simplify y into y 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (/ y 1) into y 0.925 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.925 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.925 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.925 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.925 * [taylor]: Taking taylor expansion of 0.5 in y 0.925 * [backup-simplify]: Simplify 0.5 into 0.5 0.925 * [taylor]: Taking taylor expansion of (/ y x) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [taylor]: Taking taylor expansion of x in y 0.925 * [backup-simplify]: Simplify x into x 0.925 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.925 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [taylor]: Taking taylor expansion of 0 in y 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.926 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.926 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 0.927 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 0.927 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.927 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.927 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.927 * [taylor]: Taking taylor expansion of 0.5 in y 0.927 * [backup-simplify]: Simplify 0.5 into 0.5 0.927 * [taylor]: Taking taylor expansion of (/ y x) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [taylor]: Taking taylor expansion of x in y 0.927 * [backup-simplify]: Simplify x into x 0.927 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.927 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.927 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.927 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.927 * [taylor]: Taking taylor expansion of 0.5 in x 0.927 * [backup-simplify]: Simplify 0.5 into 0.5 0.927 * [taylor]: Taking taylor expansion of (/ y x) in x 0.927 * [taylor]: Taking taylor expansion of y in x 0.927 * [backup-simplify]: Simplify y into y 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 1 into 1 0.927 * [backup-simplify]: Simplify (/ y 1) into y 0.927 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.928 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.928 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.928 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.928 * [taylor]: Taking taylor expansion of 0.5 in x 0.928 * [backup-simplify]: Simplify 0.5 into 0.5 0.928 * [taylor]: Taking taylor expansion of (/ y x) in x 0.928 * [taylor]: Taking taylor expansion of y in x 0.928 * [backup-simplify]: Simplify y into y 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [backup-simplify]: Simplify (/ y 1) into y 0.928 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.928 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.928 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.928 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.928 * [taylor]: Taking taylor expansion of 0.5 in y 0.928 * [backup-simplify]: Simplify 0.5 into 0.5 0.928 * [taylor]: Taking taylor expansion of (/ y x) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 1 into 1 0.928 * [taylor]: Taking taylor expansion of x in y 0.928 * [backup-simplify]: Simplify x into x 0.928 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.928 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.928 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.929 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 0.930 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.930 * [backup-simplify]: Simplify (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) into (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 0.930 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0 0.930 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.930 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.930 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.930 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.930 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.930 * [taylor]: Taking taylor expansion of 0.5 in y 0.930 * [backup-simplify]: Simplify 0.5 into 0.5 0.930 * [taylor]: Taking taylor expansion of (/ x y) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [backup-simplify]: Simplify x into x 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (/ x 1) into x 0.930 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.930 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.930 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.930 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.930 * [taylor]: Taking taylor expansion of 0.5 in y 0.930 * [backup-simplify]: Simplify 0.5 into 0.5 0.930 * [taylor]: Taking taylor expansion of (/ x y) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [backup-simplify]: Simplify x into x 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [backup-simplify]: Simplify (/ x 1) into x 0.930 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.930 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.930 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.931 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.931 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.931 * [taylor]: Taking taylor expansion of 0.5 in y 0.931 * [backup-simplify]: Simplify 0.5 into 0.5 0.931 * [taylor]: Taking taylor expansion of (/ x y) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [backup-simplify]: Simplify x into x 0.931 * [taylor]: Taking taylor expansion of y in y 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (/ x 1) into x 0.931 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.931 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.931 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) (sin (* 0.5 (/ x y)))) into (/ 1 (cos (* 0.5 (/ x y)))) 0.931 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.931 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.931 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.931 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.931 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.931 * [taylor]: Taking taylor expansion of 0.5 in x 0.931 * [backup-simplify]: Simplify 0.5 into 0.5 0.931 * [taylor]: Taking taylor expansion of (/ x y) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [taylor]: Taking taylor expansion of y in x 0.931 * [backup-simplify]: Simplify y into y 0.931 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.931 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.931 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.931 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.931 * [taylor]: Taking taylor expansion of 0.5 in x 0.931 * [backup-simplify]: Simplify 0.5 into 0.5 0.931 * [taylor]: Taking taylor expansion of (/ x y) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [taylor]: Taking taylor expansion of y in x 0.931 * [backup-simplify]: Simplify y into y 0.931 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.932 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.932 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.932 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.932 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.932 * [taylor]: Taking taylor expansion of 0.5 in x 0.932 * [backup-simplify]: Simplify 0.5 into 0.5 0.932 * [taylor]: Taking taylor expansion of (/ x y) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [backup-simplify]: Simplify y into y 0.932 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.932 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.932 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.932 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.932 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.932 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.932 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.932 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.932 * [taylor]: Taking taylor expansion of 0.5 in x 0.932 * [backup-simplify]: Simplify 0.5 into 0.5 0.932 * [taylor]: Taking taylor expansion of (/ x y) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [backup-simplify]: Simplify y into y 0.932 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.932 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.932 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.932 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.933 * [taylor]: Taking taylor expansion of 0.5 in x 0.933 * [backup-simplify]: Simplify 0.5 into 0.5 0.933 * [taylor]: Taking taylor expansion of (/ x y) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [taylor]: Taking taylor expansion of y in x 0.933 * [backup-simplify]: Simplify y into y 0.933 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.933 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.933 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.933 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.933 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.933 * [taylor]: Taking taylor expansion of 0.5 in x 0.933 * [backup-simplify]: Simplify 0.5 into 0.5 0.933 * [taylor]: Taking taylor expansion of (/ x y) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [taylor]: Taking taylor expansion of y in x 0.933 * [backup-simplify]: Simplify y into y 0.933 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.933 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.933 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.933 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.933 * [taylor]: Taking taylor expansion of 1.0 in y 0.933 * [backup-simplify]: Simplify 1.0 into 1.0 0.933 * [backup-simplify]: Simplify 1.0 into 1.0 0.933 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.934 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.934 * [backup-simplify]: Simplify (+ 0) into 0 0.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.936 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) into 0 0.936 * [taylor]: Taking taylor expansion of 0 in y 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.937 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.937 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.937 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.938 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 0.938 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.939 * [backup-simplify]: Simplify (- (/ (* 0.04166666666666667 (/ 1 (pow y 3))) (* 0.5 (/ 1 y))) (+ (* 1.0 (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) (* 0.5 (/ 1 y)))) (* 0 (/ 0 (* 0.5 (/ 1 y)))))) into (* 0.125 (/ 1 (pow y 2))) 0.939 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 0.940 * [taylor]: Taking taylor expansion of 0.125 in y 0.940 * [backup-simplify]: Simplify 0.125 into 0.125 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.940 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify (* 1 1) into 1 0.940 * [backup-simplify]: Simplify (/ 1 1) into 1 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.943 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.944 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.944 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.944 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.945 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow y 3))) (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.947 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))) (* 0 (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) (* 0.5 (/ 1 y)))) (* (* 0.125 (/ 1 (pow y 2))) (/ 0 (* 0.5 (/ 1 y)))))) into 0 0.948 * [taylor]: Taking taylor expansion of 0 in y 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1.0 into 1.0 0.948 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) (sin (/ (/ 1 x) (* (/ 1 y) 2.0)))) into (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 0.948 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.948 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.948 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.948 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.948 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.948 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.948 * [taylor]: Taking taylor expansion of 0.5 in y 0.948 * [backup-simplify]: Simplify 0.5 into 0.5 0.948 * [taylor]: Taking taylor expansion of (/ y x) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [taylor]: Taking taylor expansion of x in y 0.948 * [backup-simplify]: Simplify x into x 0.948 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.948 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.948 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.948 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.948 * [taylor]: Taking taylor expansion of 0.5 in y 0.948 * [backup-simplify]: Simplify 0.5 into 0.5 0.948 * [taylor]: Taking taylor expansion of (/ y x) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [taylor]: Taking taylor expansion of x in y 0.948 * [backup-simplify]: Simplify x into x 0.949 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.949 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.949 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.949 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.949 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.949 * [taylor]: Taking taylor expansion of 0.5 in y 0.949 * [backup-simplify]: Simplify 0.5 into 0.5 0.949 * [taylor]: Taking taylor expansion of (/ y x) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [backup-simplify]: Simplify x into x 0.949 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.949 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.949 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.949 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.949 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.949 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.949 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.949 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.949 * [taylor]: Taking taylor expansion of 0.5 in x 0.949 * [backup-simplify]: Simplify 0.5 into 0.5 0.949 * [taylor]: Taking taylor expansion of (/ y x) in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.949 * [backup-simplify]: Simplify y into y 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (/ y 1) into y 0.949 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.950 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.950 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.950 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.950 * [taylor]: Taking taylor expansion of 0.5 in x 0.950 * [backup-simplify]: Simplify 0.5 into 0.5 0.950 * [taylor]: Taking taylor expansion of (/ y x) in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.950 * [backup-simplify]: Simplify y into y 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (/ y 1) into y 0.950 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.950 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.950 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.950 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.950 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.950 * [taylor]: Taking taylor expansion of 0.5 in x 0.950 * [backup-simplify]: Simplify 0.5 into 0.5 0.950 * [taylor]: Taking taylor expansion of (/ y x) in x 0.950 * [taylor]: Taking taylor expansion of y in x 0.950 * [backup-simplify]: Simplify y into y 0.950 * [taylor]: Taking taylor expansion of x in x 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (/ y 1) into y 0.950 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.950 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.950 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.950 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.950 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.951 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.951 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.951 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.951 * [taylor]: Taking taylor expansion of 0.5 in x 0.951 * [backup-simplify]: Simplify 0.5 into 0.5 0.951 * [taylor]: Taking taylor expansion of (/ y x) in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.951 * [backup-simplify]: Simplify y into y 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify (/ y 1) into y 0.951 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.951 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.951 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.951 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.951 * [taylor]: Taking taylor expansion of 0.5 in x 0.951 * [backup-simplify]: Simplify 0.5 into 0.5 0.951 * [taylor]: Taking taylor expansion of (/ y x) in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.951 * [backup-simplify]: Simplify y into y 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify (/ y 1) into y 0.951 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.951 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.951 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.951 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.951 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.951 * [taylor]: Taking taylor expansion of 0.5 in x 0.951 * [backup-simplify]: Simplify 0.5 into 0.5 0.951 * [taylor]: Taking taylor expansion of (/ y x) in x 0.951 * [taylor]: Taking taylor expansion of y in x 0.951 * [backup-simplify]: Simplify y into y 0.951 * [taylor]: Taking taylor expansion of x in x 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify (/ y 1) into y 0.951 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.951 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.952 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.952 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.952 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.952 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.952 * [taylor]: Taking taylor expansion of 0.5 in y 0.952 * [backup-simplify]: Simplify 0.5 into 0.5 0.952 * [taylor]: Taking taylor expansion of (/ y x) in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [taylor]: Taking taylor expansion of x in y 0.952 * [backup-simplify]: Simplify x into x 0.952 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.952 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.952 * [backup-simplify]: Simplify (/ 1 1) into 1 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.953 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.953 * [taylor]: Taking taylor expansion of 0 in y 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify (+ 0) into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.954 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.955 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.955 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.956 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.956 * [taylor]: Taking taylor expansion of 0 in y 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.959 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.959 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.961 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (/ 1 x) 2)) (pow (* (/ 1 y) 1) 2)) 1) into (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.961 * [backup-simplify]: Simplify (/ (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) into (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 0.961 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.961 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.961 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.961 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.962 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.962 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.962 * [taylor]: Taking taylor expansion of 0.5 in y 0.962 * [backup-simplify]: Simplify 0.5 into 0.5 0.962 * [taylor]: Taking taylor expansion of (/ y x) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [backup-simplify]: Simplify x into x 0.962 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.962 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.962 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.962 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.962 * [taylor]: Taking taylor expansion of 0.5 in y 0.962 * [backup-simplify]: Simplify 0.5 into 0.5 0.962 * [taylor]: Taking taylor expansion of (/ y x) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [backup-simplify]: Simplify x into x 0.962 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.962 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.962 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.962 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.962 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.962 * [taylor]: Taking taylor expansion of 0.5 in y 0.962 * [backup-simplify]: Simplify 0.5 into 0.5 0.962 * [taylor]: Taking taylor expansion of (/ y x) in y 0.962 * [taylor]: Taking taylor expansion of y in y 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [taylor]: Taking taylor expansion of x in y 0.962 * [backup-simplify]: Simplify x into x 0.962 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.962 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.963 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.963 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.963 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.963 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.963 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.963 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.963 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.963 * [taylor]: Taking taylor expansion of 0.5 in x 0.963 * [backup-simplify]: Simplify 0.5 into 0.5 0.963 * [taylor]: Taking taylor expansion of (/ y x) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [backup-simplify]: Simplify y into y 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (/ y 1) into y 0.963 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.963 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.963 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.963 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.963 * [taylor]: Taking taylor expansion of 0.5 in x 0.963 * [backup-simplify]: Simplify 0.5 into 0.5 0.963 * [taylor]: Taking taylor expansion of (/ y x) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [backup-simplify]: Simplify y into y 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (/ y 1) into y 0.963 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.963 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.963 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.963 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.963 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.963 * [taylor]: Taking taylor expansion of 0.5 in x 0.963 * [backup-simplify]: Simplify 0.5 into 0.5 0.963 * [taylor]: Taking taylor expansion of (/ y x) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [backup-simplify]: Simplify y into y 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (/ y 1) into y 0.964 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.964 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.964 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.964 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.964 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.964 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.964 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.964 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.964 * [taylor]: Taking taylor expansion of 0.5 in x 0.964 * [backup-simplify]: Simplify 0.5 into 0.5 0.964 * [taylor]: Taking taylor expansion of (/ y x) in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.964 * [backup-simplify]: Simplify y into y 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (/ y 1) into y 0.964 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.964 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.964 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.964 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.964 * [taylor]: Taking taylor expansion of 0.5 in x 0.964 * [backup-simplify]: Simplify 0.5 into 0.5 0.964 * [taylor]: Taking taylor expansion of (/ y x) in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.964 * [backup-simplify]: Simplify y into y 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 1 into 1 0.964 * [backup-simplify]: Simplify (/ y 1) into y 0.964 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.964 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.965 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.965 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.965 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.965 * [taylor]: Taking taylor expansion of 0.5 in x 0.965 * [backup-simplify]: Simplify 0.5 into 0.5 0.965 * [taylor]: Taking taylor expansion of (/ y x) in x 0.965 * [taylor]: Taking taylor expansion of y in x 0.965 * [backup-simplify]: Simplify y into y 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (/ y 1) into y 0.965 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.965 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.965 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.965 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.965 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.965 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.965 * [taylor]: Taking taylor expansion of 0.5 in y 0.965 * [backup-simplify]: Simplify 0.5 into 0.5 0.965 * [taylor]: Taking taylor expansion of (/ y x) in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [taylor]: Taking taylor expansion of x in y 0.965 * [backup-simplify]: Simplify x into x 0.965 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.965 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.966 * [backup-simplify]: Simplify (/ 1 1) into 1 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.966 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.966 * [taylor]: Taking taylor expansion of 0 in y 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ 0) into 0 0.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.967 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.967 * [taylor]: Taking taylor expansion of 0 in y 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.968 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.969 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.969 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.969 * [taylor]: Taking taylor expansion of 0 in y 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.969 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.970 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.972 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.972 * [taylor]: Taking taylor expansion of 0 in y 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (+ (* (/ 0.125 (pow (/ 1 (- x)) 2)) (pow (* (/ 1 (- y)) 1) 2)) 1) into (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.972 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.972 * [backup-simplify]: Simplify (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) into (pow (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 3) 0.972 * [approximate]: Taking taylor expansion of (pow (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 3) in (x y) around 0 0.972 * [taylor]: Taking taylor expansion of (pow (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 3) in y 0.972 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.972 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.972 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.972 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.972 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.972 * [taylor]: Taking taylor expansion of 0.5 in y 0.972 * [backup-simplify]: Simplify 0.5 into 0.5 0.972 * [taylor]: Taking taylor expansion of (/ x y) in y 0.972 * [taylor]: Taking taylor expansion of x in y 0.972 * [backup-simplify]: Simplify x into x 0.972 * [taylor]: Taking taylor expansion of y in y 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify (/ x 1) into x 0.972 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.973 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.973 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.973 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.973 * [taylor]: Taking taylor expansion of 0.5 in y 0.973 * [backup-simplify]: Simplify 0.5 into 0.5 0.973 * [taylor]: Taking taylor expansion of (/ x y) in y 0.973 * [taylor]: Taking taylor expansion of x in y 0.973 * [backup-simplify]: Simplify x into x 0.973 * [taylor]: Taking taylor expansion of y in y 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (/ x 1) into x 0.973 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.973 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.973 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.973 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.973 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.973 * [taylor]: Taking taylor expansion of 0.5 in y 0.973 * [backup-simplify]: Simplify 0.5 into 0.5 0.973 * [taylor]: Taking taylor expansion of (/ x y) in y 0.973 * [taylor]: Taking taylor expansion of x in y 0.973 * [backup-simplify]: Simplify x into x 0.973 * [taylor]: Taking taylor expansion of y in y 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (/ x 1) into x 0.973 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.973 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.973 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) (sin (* 0.5 (/ x y)))) into (/ 1 (cos (* 0.5 (/ x y)))) 0.973 * [taylor]: Taking taylor expansion of (pow (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 3) in x 0.973 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.973 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.974 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.974 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.974 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.974 * [taylor]: Taking taylor expansion of 0.5 in x 0.974 * [backup-simplify]: Simplify 0.5 into 0.5 0.974 * [taylor]: Taking taylor expansion of (/ x y) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [taylor]: Taking taylor expansion of y in x 0.974 * [backup-simplify]: Simplify y into y 0.974 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.974 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.974 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.974 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.974 * [taylor]: Taking taylor expansion of 0.5 in x 0.974 * [backup-simplify]: Simplify 0.5 into 0.5 0.974 * [taylor]: Taking taylor expansion of (/ x y) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [taylor]: Taking taylor expansion of y in x 0.974 * [backup-simplify]: Simplify y into y 0.974 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.974 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.974 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.974 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.974 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.974 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.974 * [taylor]: Taking taylor expansion of 0.5 in x 0.974 * [backup-simplify]: Simplify 0.5 into 0.5 0.974 * [taylor]: Taking taylor expansion of (/ x y) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 1 into 1 0.974 * [taylor]: Taking taylor expansion of y in x 0.974 * [backup-simplify]: Simplify y into y 0.974 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.974 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.975 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.975 * [taylor]: Taking taylor expansion of (pow (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 3) in x 0.975 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.975 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.975 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.975 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.975 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.975 * [taylor]: Taking taylor expansion of 0.5 in x 0.975 * [backup-simplify]: Simplify 0.5 into 0.5 0.975 * [taylor]: Taking taylor expansion of (/ x y) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [taylor]: Taking taylor expansion of y in x 0.975 * [backup-simplify]: Simplify y into y 0.975 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.975 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.975 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.975 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.975 * [taylor]: Taking taylor expansion of 0.5 in x 0.975 * [backup-simplify]: Simplify 0.5 into 0.5 0.975 * [taylor]: Taking taylor expansion of (/ x y) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [taylor]: Taking taylor expansion of y in x 0.975 * [backup-simplify]: Simplify y into y 0.975 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.975 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.975 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.975 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.975 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.975 * [taylor]: Taking taylor expansion of 0.5 in x 0.975 * [backup-simplify]: Simplify 0.5 into 0.5 0.975 * [taylor]: Taking taylor expansion of (/ x y) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 1 into 1 0.976 * [taylor]: Taking taylor expansion of y in x 0.976 * [backup-simplify]: Simplify y into y 0.976 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.976 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.976 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.976 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.976 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.976 * [taylor]: Taking taylor expansion of 1.0 in y 0.976 * [backup-simplify]: Simplify 1.0 into 1.0 0.976 * [backup-simplify]: Simplify 1.0 into 1.0 0.976 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.977 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.977 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.978 * [backup-simplify]: Simplify (+ 0) into 0 0.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.979 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.979 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.979 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) into 0 0.979 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.980 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 0.980 * [taylor]: Taking taylor expansion of 0 in y 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.982 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 0.982 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.982 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.983 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.983 * [backup-simplify]: Simplify (- (/ (* 0.04166666666666667 (/ 1 (pow y 3))) (* 0.5 (/ 1 y))) (+ (* 1.0 (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) (* 0.5 (/ 1 y)))) (* 0 (/ 0 (* 0.5 (/ 1 y)))))) into (* 0.125 (/ 1 (pow y 2))) 0.984 * [backup-simplify]: Simplify (+ (* 1.0 (* 0.125 (/ 1 (pow y 2)))) (+ (* 0 0) (* (* 0.125 (/ 1 (pow y 2))) 1.0))) into (* 0.25 (/ 1 (pow y 2))) 0.984 * [backup-simplify]: Simplify (+ (* 1.0 (* 0.25 (/ 1 (pow y 2)))) (+ (* 0 0) (* (* 0.125 (/ 1 (pow y 2))) 1.0))) into (* 0.375 (/ 1 (pow y 2))) 0.984 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow y 2))) in y 0.984 * [taylor]: Taking taylor expansion of 0.375 in y 0.984 * [backup-simplify]: Simplify 0.375 into 0.375 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 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (* 1 1) into 1 0.985 * [backup-simplify]: Simplify (/ 1 1) into 1 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (+ (* 0.375 0) (+ (* 0 0) (* 0 1))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.988 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.989 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.989 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.990 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* (* 0.04166666666666667 (/ 1 (pow y 3))) (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.991 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.992 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.992 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))) (* 0 (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) (* 0.5 (/ 1 y)))) (* (* 0.125 (/ 1 (pow y 2))) (/ 0 (* 0.5 (/ 1 y)))))) into 0 0.993 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (* 0.125 (/ 1 (pow y 2)))) (+ (* (* 0.125 (/ 1 (pow y 2))) 0) (* 0 1.0)))) into 0 0.994 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 (* 0.25 (/ 1 (pow y 2)))) (+ (* (* 0.125 (/ 1 (pow y 2))) 0) (* 0 1.0)))) into 0 0.994 * [taylor]: Taking taylor expansion of 0 in y 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 1.0 into 1.0 0.994 * [backup-simplify]: Simplify (pow (/ (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) (sin (/ (/ 1 x) (* (/ 1 y) 2.0)))) 3) into (pow (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 3) 0.994 * [approximate]: Taking taylor expansion of (pow (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 3) in (x y) around 0 0.994 * [taylor]: Taking taylor expansion of (pow (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 3) in y 0.994 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.994 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.994 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.994 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.994 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.994 * [taylor]: Taking taylor expansion of 0.5 in y 0.994 * [backup-simplify]: Simplify 0.5 into 0.5 0.994 * [taylor]: Taking taylor expansion of (/ y x) in y 0.994 * [taylor]: Taking taylor expansion of y in y 0.994 * [backup-simplify]: Simplify 0 into 0 0.994 * [backup-simplify]: Simplify 1 into 1 0.994 * [taylor]: Taking taylor expansion of x in y 0.995 * [backup-simplify]: Simplify x into x 0.995 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.995 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.995 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.995 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.995 * [taylor]: Taking taylor expansion of 0.5 in y 0.995 * [backup-simplify]: Simplify 0.5 into 0.5 0.995 * [taylor]: Taking taylor expansion of (/ y x) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [taylor]: Taking taylor expansion of x in y 0.995 * [backup-simplify]: Simplify x into x 0.995 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.995 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.995 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.995 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.995 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.995 * [taylor]: Taking taylor expansion of 0.5 in y 0.995 * [backup-simplify]: Simplify 0.5 into 0.5 0.995 * [taylor]: Taking taylor expansion of (/ y x) in y 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [taylor]: Taking taylor expansion of x in y 0.995 * [backup-simplify]: Simplify x into x 0.995 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.995 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.995 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.995 * [taylor]: Taking taylor expansion of (pow (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 3) in x 0.995 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.995 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.996 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.996 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.996 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.996 * [taylor]: Taking taylor expansion of 0.5 in x 0.996 * [backup-simplify]: Simplify 0.5 into 0.5 0.996 * [taylor]: Taking taylor expansion of (/ y x) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [backup-simplify]: Simplify y into y 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (/ y 1) into y 0.996 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.996 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.996 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.996 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.996 * [taylor]: Taking taylor expansion of 0.5 in x 0.996 * [backup-simplify]: Simplify 0.5 into 0.5 0.996 * [taylor]: Taking taylor expansion of (/ y x) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [backup-simplify]: Simplify y into y 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (/ y 1) into y 0.996 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.996 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.996 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.996 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.996 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.996 * [taylor]: Taking taylor expansion of 0.5 in x 0.996 * [backup-simplify]: Simplify 0.5 into 0.5 0.996 * [taylor]: Taking taylor expansion of (/ y x) in x 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [backup-simplify]: Simplify y into y 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (/ y 1) into y 0.996 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.997 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.997 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.997 * [taylor]: Taking taylor expansion of (pow (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 3) in x 0.997 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.997 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.997 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.997 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.997 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.997 * [taylor]: Taking taylor expansion of 0.5 in x 0.997 * [backup-simplify]: Simplify 0.5 into 0.5 0.997 * [taylor]: Taking taylor expansion of (/ y x) in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.997 * [backup-simplify]: Simplify y into y 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (/ y 1) into y 0.997 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.997 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.997 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.997 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.997 * [taylor]: Taking taylor expansion of 0.5 in x 0.997 * [backup-simplify]: Simplify 0.5 into 0.5 0.997 * [taylor]: Taking taylor expansion of (/ y x) in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.997 * [backup-simplify]: Simplify y into y 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (/ y 1) into y 0.997 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.997 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.997 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.998 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.998 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.998 * [taylor]: Taking taylor expansion of 0.5 in x 0.998 * [backup-simplify]: Simplify 0.5 into 0.5 0.998 * [taylor]: Taking taylor expansion of (/ y x) in x 0.998 * [taylor]: Taking taylor expansion of y in x 0.998 * [backup-simplify]: Simplify y into y 0.998 * [taylor]: Taking taylor expansion of x in x 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (/ y 1) into y 0.998 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.998 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.998 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 0.998 * [backup-simplify]: Simplify (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 1 (cos (* 0.5 (/ y x))))) into (/ 1 (pow (cos (* 0.5 (/ y x))) 2)) 0.998 * [backup-simplify]: Simplify (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 1 (pow (cos (* 0.5 (/ y x))) 2))) into (/ 1 (pow (cos (* 0.5 (/ y x))) 3)) 0.998 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (* 0.5 (/ y x))) 3)) in y 0.998 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 (/ y x))) 3) in y 0.998 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.998 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.998 * [taylor]: Taking taylor expansion of 0.5 in y 0.998 * [backup-simplify]: Simplify 0.5 into 0.5 0.998 * [taylor]: Taking taylor expansion of (/ y x) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [taylor]: Taking taylor expansion of x in y 0.999 * [backup-simplify]: Simplify x into x 0.999 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.999 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.999 * [backup-simplify]: Simplify (* 1 1) into 1 0.999 * [backup-simplify]: Simplify (* 1 1) into 1 0.999 * [backup-simplify]: Simplify (/ 1 1) into 1 0.999 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.000 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 1.000 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (* 0 (/ 1 (cos (* 0.5 (/ y x)))))) into 0 1.000 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (* 0 (/ 1 (pow (cos (* 0.5 (/ y x))) 2)))) into 0 1.000 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (+ 0) into 0 1.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.002 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 1.003 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 0.5 (/ y x))))))) into 0 1.003 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (* 0.5 (/ y x))) 2))))) into 0 1.003 * [taylor]: Taking taylor expansion of 0 in y 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 1.004 * [backup-simplify]: Simplify (+ (* 1 (- (* 0.125 (/ 1 (pow x 2))))) (+ (* 0 0) (* (- (* 0.125 (/ 1 (pow x 2)))) 1))) into (- (* 0.25 (/ 1 (pow x 2)))) 1.004 * [backup-simplify]: Simplify (+ (* 1 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* 0 0) (* (- (* 0.125 (/ 1 (pow x 2)))) 1))) into (- (* 0.375 (/ 1 (pow x 2)))) 1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.375 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.375 (/ 1 (pow x 2))) 1.005 * [backup-simplify]: Simplify (* 0.375 (/ 1 (pow x 2))) into (/ 0.375 (pow x 2)) 1.005 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.006 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 1.006 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 0.5 (/ y x)))))))) into 0 1.007 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (* 0.5 (/ y x))) 2)))))) into 0 1.007 * [taylor]: Taking taylor expansion of 0 in y 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.008 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 0.125 (/ 1 (pow x 2))))) (+ (* (- (* 0.125 (/ 1 (pow x 2)))) 0) (* 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (- (* 0.125 (/ 1 (pow x 2)))) 0) (* 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.375 (/ 1 (pow x 2)))) 1)) (* (* 0.375 (/ 1 (pow x 2))) (/ 0 1)))) into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.011 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 1.012 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 0.5 (/ y x))))))))) into 0 1.012 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (* 0.5 (/ y x))) 2))))))) into 0 1.012 * [taylor]: Taking taylor expansion of 0 in y 1.012 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (+ (* (/ 0.375 (pow (/ 1 x) 2)) (pow (* (/ 1 y) 1) 2)) 1) into (+ (* 0.375 (/ (pow x 2) (pow y 2))) 1) 1.013 * [backup-simplify]: Simplify (pow (/ (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) 3) into (pow (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 3) 1.013 * [approximate]: Taking taylor expansion of (pow (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 3) in (x y) around 0 1.013 * [taylor]: Taking taylor expansion of (pow (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 3) in y 1.013 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 1.013 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 1.013 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.013 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.013 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.013 * [taylor]: Taking taylor expansion of 0.5 in y 1.013 * [backup-simplify]: Simplify 0.5 into 0.5 1.013 * [taylor]: Taking taylor expansion of (/ y x) in y 1.013 * [taylor]: Taking taylor expansion of y in y 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify 1 into 1 1.013 * [taylor]: Taking taylor expansion of x in y 1.013 * [backup-simplify]: Simplify x into x 1.013 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.013 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.013 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.013 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.014 * [taylor]: Taking taylor expansion of 0.5 in y 1.014 * [backup-simplify]: Simplify 0.5 into 0.5 1.014 * [taylor]: Taking taylor expansion of (/ y x) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [taylor]: Taking taylor expansion of x in y 1.014 * [backup-simplify]: Simplify x into x 1.014 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.014 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.014 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.014 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.014 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.014 * [taylor]: Taking taylor expansion of 0.5 in y 1.014 * [backup-simplify]: Simplify 0.5 into 0.5 1.014 * [taylor]: Taking taylor expansion of (/ y x) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [taylor]: Taking taylor expansion of x in y 1.014 * [backup-simplify]: Simplify x into x 1.014 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.014 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.014 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 1.014 * [taylor]: Taking taylor expansion of (pow (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 3) in x 1.014 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 1.014 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.014 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.014 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.014 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.014 * [taylor]: Taking taylor expansion of 0.5 in x 1.014 * [backup-simplify]: Simplify 0.5 into 0.5 1.015 * [taylor]: Taking taylor expansion of (/ y x) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [backup-simplify]: Simplify y into y 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 1 into 1 1.015 * [backup-simplify]: Simplify (/ y 1) into y 1.015 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.015 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.015 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.015 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.015 * [taylor]: Taking taylor expansion of 0.5 in x 1.015 * [backup-simplify]: Simplify 0.5 into 0.5 1.015 * [taylor]: Taking taylor expansion of (/ y x) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [backup-simplify]: Simplify y into y 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 1 into 1 1.015 * [backup-simplify]: Simplify (/ y 1) into y 1.015 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.015 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.015 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.015 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.015 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.015 * [taylor]: Taking taylor expansion of 0.5 in x 1.015 * [backup-simplify]: Simplify 0.5 into 0.5 1.015 * [taylor]: Taking taylor expansion of (/ y x) in x 1.015 * [taylor]: Taking taylor expansion of y in x 1.015 * [backup-simplify]: Simplify y into y 1.015 * [taylor]: Taking taylor expansion of x in x 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 1 into 1 1.015 * [backup-simplify]: Simplify (/ y 1) into y 1.015 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.015 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.016 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 1.016 * [taylor]: Taking taylor expansion of (pow (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 3) in x 1.016 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 1.016 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.016 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.016 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.016 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.016 * [taylor]: Taking taylor expansion of 0.5 in x 1.016 * [backup-simplify]: Simplify 0.5 into 0.5 1.016 * [taylor]: Taking taylor expansion of (/ y x) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [backup-simplify]: Simplify y into y 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [backup-simplify]: Simplify (/ y 1) into y 1.016 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.016 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.016 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.016 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.016 * [taylor]: Taking taylor expansion of 0.5 in x 1.016 * [backup-simplify]: Simplify 0.5 into 0.5 1.016 * [taylor]: Taking taylor expansion of (/ y x) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [backup-simplify]: Simplify y into y 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 1 into 1 1.016 * [backup-simplify]: Simplify (/ y 1) into y 1.016 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.016 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.016 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.016 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.016 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.016 * [taylor]: Taking taylor expansion of 0.5 in x 1.016 * [backup-simplify]: Simplify 0.5 into 0.5 1.016 * [taylor]: Taking taylor expansion of (/ y x) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [backup-simplify]: Simplify y into y 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (/ y 1) into y 1.017 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.017 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.017 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 1.017 * [backup-simplify]: Simplify (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 1 (cos (* 0.5 (/ y x))))) into (/ 1 (pow (cos (* 0.5 (/ y x))) 2)) 1.017 * [backup-simplify]: Simplify (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 1 (pow (cos (* 0.5 (/ y x))) 2))) into (/ 1 (pow (cos (* 0.5 (/ y x))) 3)) 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow (cos (* 0.5 (/ y x))) 3)) in y 1.017 * [taylor]: Taking taylor expansion of (pow (cos (* 0.5 (/ y x))) 3) in y 1.017 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.017 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.017 * [taylor]: Taking taylor expansion of 0.5 in y 1.017 * [backup-simplify]: Simplify 0.5 into 0.5 1.017 * [taylor]: Taking taylor expansion of (/ y x) in y 1.017 * [taylor]: Taking taylor expansion of y in y 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [taylor]: Taking taylor expansion of x in y 1.017 * [backup-simplify]: Simplify x into x 1.017 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.017 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.018 * [backup-simplify]: Simplify (* 1 1) into 1 1.018 * [backup-simplify]: Simplify (* 1 1) into 1 1.018 * [backup-simplify]: Simplify (/ 1 1) into 1 1.018 * [backup-simplify]: Simplify 1 into 1 1.018 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.019 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 1.019 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (* 0 (/ 1 (cos (* 0.5 (/ y x)))))) into 0 1.019 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (* 0 (/ 1 (pow (cos (* 0.5 (/ y x))) 2)))) into 0 1.019 * [taylor]: Taking taylor expansion of 0 in y 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify (+ 0) into 0 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.020 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.021 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 1.021 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 0.5 (/ y x))))))) into 0 1.022 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (* 0.5 (/ y x))) 2))))) into 0 1.022 * [taylor]: Taking taylor expansion of 0 in y 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 1.023 * [backup-simplify]: Simplify (+ (* 1 (- (* 0.125 (/ 1 (pow x 2))))) (+ (* 0 0) (* (- (* 0.125 (/ 1 (pow x 2)))) 1))) into (- (* 0.25 (/ 1 (pow x 2)))) 1.023 * [backup-simplify]: Simplify (+ (* 1 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* 0 0) (* (- (* 0.125 (/ 1 (pow x 2)))) 1))) into (- (* 0.375 (/ 1 (pow x 2)))) 1.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.375 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.375 (/ 1 (pow x 2))) 1.024 * [backup-simplify]: Simplify (* 0.375 (/ 1 (pow x 2))) into (/ 0.375 (pow x 2)) 1.024 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.024 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 1.025 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 0.5 (/ y x)))))))) into 0 1.026 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (* 0.5 (/ y x))) 2)))))) into 0 1.026 * [taylor]: Taking taylor expansion of 0 in y 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.026 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.027 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 0.125 (/ 1 (pow x 2))))) (+ (* (- (* 0.125 (/ 1 (pow x 2)))) 0) (* 0 1)))) into 0 1.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (* 0.25 (/ 1 (pow x 2))))) (+ (* (- (* 0.125 (/ 1 (pow x 2)))) 0) (* 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.375 (/ 1 (pow x 2)))) 1)) (* (* 0.375 (/ 1 (pow x 2))) (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.030 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 1.031 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (cos (* 0.5 (/ y x))))))))) into 0 1.032 * [backup-simplify]: Simplify (+ (* (/ 1 (cos (* 0.5 (/ y x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (* 0.5 (/ y x))) 2))))))) into 0 1.032 * [taylor]: Taking taylor expansion of 0 in y 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify (+ (* (/ 0.375 (pow (/ 1 (- x)) 2)) (pow (* (/ 1 (- y)) 1) 2)) 1) into (+ (* 0.375 (/ (pow x 2) (pow y 2))) 1) 1.032 * * * [progress]: simplifying candidates 1.034 * [simplify]: Simplifying: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt 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h0 (* h1 h2))))) 3) (pow (/ (sqrt (tan (/ h0 (* h1 h2)))) 1) 3) (pow (/ (sqrt (tan (/ h0 (* h1 h2)))) (sin (/ h0 (* h1 h2)))) 3) (pow (/ 1 (* (cbrt (sin (/ h0 (* h1 h2)))) (cbrt (sin (/ h0 (* h1 h2)))))) 3) (pow (/ (tan (/ h0 (* h1 h2))) (cbrt (sin (/ h0 (* h1 h2))))) 3) (pow (/ 1 (sqrt (sin (/ h0 (* h1 h2))))) 3) (pow (/ (tan (/ h0 (* h1 h2))) (sqrt (sin (/ h0 (* h1 h2))))) 3) (pow (/ 1 1) 3) (pow (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) 3) (pow 1 3) (pow (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) 3) (pow (tan (/ h0 (* h1 h2))) 3) (pow (/ 1 (sin (/ h0 (* h1 h2)))) 3) (pow (tan (/ h0 (* h1 h2))) 3) (pow (sin (/ h0 (* h1 h2))) 3) (* (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2))))) (sqrt (pow (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) 3)) (sqrt (pow (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) 3)) (pow (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) (/ 3 2)) (pow (/ (tan (/ h0 (* h1 h2))) (sin (/ h0 (* h1 h2)))) (/ 3 2)) 0 (+ (* h3 (/ (pow h0 3) (pow h1 3))) (* h4 (/ h0 h1))) (+ (* h3 (/ (pow h0 3) (pow h1 3))) (* h4 (/ h0 h1))) 0 (* h4 (/ h0 h1)) (* h4 (/ h0 h1)) h5 (+ (* h6 (/ (pow h0 2) (pow h1 2))) 1) (+ (* h6 (/ (pow h0 2) (pow h1 2))) 1) h5 (+ (* h7 (/ (pow h0 2) (pow h1 2))) 1) (+ (* h7 (/ (pow h0 2) (pow h1 2))) 1) 1.040 * * [simplify]: iteration 0 : 337 enodes (cost 1072 ) 1.046 * * [simplify]: iteration 1 : 1554 enodes (cost 977 ) 1.076 * * [simplify]: iteration 2 : 5001 enodes (cost 968 ) 1.081 * * * [progress]: adding candidates to table 1.311 * [progress]: [Phase 3 of 3] Extracting. 1.311 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.316 * * * [regime-changes]: Trying 5 branch expressions: ((* y 2.0) (/ x (* y 2.0)) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) y x) 1.316 * * * * [regimes]: Trying to branch on (* y 2.0) from (# # # # # # # # # # # #) 1.363 * * * * [regimes]: Trying to branch on (/ x (* y 2.0)) from (# # # # # # # # # # # #) 1.409 * * * * [regimes]: Trying to branch on (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) from (# # # # # # # # # # # #) 1.459 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # #) 1.506 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 1.552 * * * [regime]: Found split indices: #