35.986 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.124 * * * [progress]: [2/2] Setting up program. 0.127 * [progress]: [Phase 2 of 3] Improving. 0.127 * [simplify]: Simplifying: (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0.127 * * [simplify]: Extracting # 0 : cost 0 0.127 * * [simplify]: Extracting # 1 : cost 0 0.127 * * [simplify]: Extracting # 2 : cost 0 0.127 * * [simplify]: Extracting # 3 : cost 0 0.127 * * [simplify]: Extracting # 4 : cost 0 0.127 * * [simplify]: Extracting # 5 : cost 0 0.127 * * [simplify]: Extracting # 6 : cost 0 0.127 * * [simplify]: iteration 0 : 8 enodes (cost 13 ) 0.129 * * [simplify]: Extracting # 0 : cost 0 0.129 * * [simplify]: Extracting # 1 : cost 0 0.129 * * [simplify]: Extracting # 2 : cost 0 0.129 * * [simplify]: iteration 1 : 11 enodes (cost 13 ) 0.130 * * [simplify]: Extracting # 0 : cost 0 0.130 * * [simplify]: Extracting # 1 : cost 0 0.130 * * [simplify]: Extracting # 2 : cost 0 0.130 * * [simplify]: iteration 2 : 13 enodes (cost 13 ) 0.132 * * [simplify]: Extracting # 0 : cost 0 0.132 * * [simplify]: iteration done: 13 enodes (cost 13 ) 0.132 * [simplify]: Simplified to: (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0.133 * * [progress]: iteration 1 / 4 0.133 * * * [progress]: picking best candidate 0.135 * * * * [pick]: Picked # 0.135 * * * [progress]: localizing error 0.147 * * * [progress]: generating rewritten candidates 0.147 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.150 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.155 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.168 * * * [progress]: generating series expansions 0.168 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.168 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 0.168 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 0.168 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.168 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.168 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.168 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) 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 (/ x y) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 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 * [backup-simplify]: Simplify (/ x 1) into x 0.169 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.169 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.169 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.169 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.169 * [taylor]: Taking taylor expansion of 0.5 in y 0.169 * [backup-simplify]: Simplify 0.5 into 0.5 0.169 * [taylor]: Taking taylor expansion of (/ x y) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [backup-simplify]: Simplify x into x 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ x 1) into x 0.169 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.169 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.169 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.169 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.169 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.169 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.169 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.169 * [taylor]: Taking taylor expansion of 0.5 in x 0.169 * [backup-simplify]: Simplify 0.5 into 0.5 0.169 * [taylor]: Taking taylor expansion of (/ x y) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [backup-simplify]: Simplify y into y 0.169 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.169 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.169 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.169 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.169 * [taylor]: Taking taylor expansion of 0.5 in x 0.169 * [backup-simplify]: Simplify 0.5 into 0.5 0.169 * [taylor]: Taking taylor expansion of (/ x y) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [backup-simplify]: Simplify y into y 0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.170 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.170 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.170 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.170 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.170 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.170 * [taylor]: Taking taylor expansion of 0.5 in x 0.170 * [backup-simplify]: Simplify 0.5 into 0.5 0.170 * [taylor]: Taking taylor expansion of (/ x y) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [backup-simplify]: Simplify y into y 0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.170 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.170 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.170 * [taylor]: Taking taylor expansion of 0.5 in x 0.170 * [backup-simplify]: Simplify 0.5 into 0.5 0.170 * [taylor]: Taking taylor expansion of (/ x y) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [backup-simplify]: Simplify y into y 0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.170 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.171 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.171 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.171 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.171 * [taylor]: Taking taylor expansion of 0.5 in y 0.171 * [backup-simplify]: Simplify 0.5 into 0.5 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.173 * [backup-simplify]: Simplify (+ 0) into 0 0.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) 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 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.175 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.176 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.176 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.176 * [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))) 0.177 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 0.177 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 0.177 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.177 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 0.198 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.198 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.198 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.198 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.198 * [taylor]: Taking taylor expansion of 0.5 in y 0.198 * [backup-simplify]: Simplify 0.5 into 0.5 0.198 * [taylor]: Taking taylor expansion of (/ y x) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [backup-simplify]: Simplify x into x 0.199 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.199 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.199 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.199 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.199 * [taylor]: Taking taylor expansion of 0.5 in y 0.199 * [backup-simplify]: Simplify 0.5 into 0.5 0.199 * [taylor]: Taking taylor expansion of (/ y x) 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 * [taylor]: Taking taylor expansion of x in y 0.199 * [backup-simplify]: Simplify x into x 0.199 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.199 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.199 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.199 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.199 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.199 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.199 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.199 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.199 * [taylor]: Taking taylor expansion of 0.5 in x 0.199 * [backup-simplify]: Simplify 0.5 into 0.5 0.199 * [taylor]: Taking taylor expansion of (/ y x) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [backup-simplify]: Simplify y into y 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ y 1) into y 0.199 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.200 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.200 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.200 * [backup-simplify]: Simplify 0.5 into 0.5 0.200 * [taylor]: Taking taylor expansion of (/ y x) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [backup-simplify]: Simplify y into y 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ y 1) into y 0.200 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.200 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.200 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.200 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.200 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.200 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.200 * [backup-simplify]: Simplify 0.5 into 0.5 0.200 * [taylor]: Taking taylor expansion of (/ y x) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [backup-simplify]: Simplify y into y 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ y 1) into y 0.200 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.200 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.200 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.200 * [backup-simplify]: Simplify 0.5 into 0.5 0.200 * [taylor]: Taking taylor expansion of (/ y x) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [backup-simplify]: Simplify y into y 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ y 1) into y 0.201 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.201 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.201 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.201 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.201 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.201 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in y 0.201 * [backup-simplify]: Simplify 0.5 into 0.5 0.201 * [taylor]: Taking taylor expansion of (/ y x) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [backup-simplify]: Simplify x into x 0.201 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.202 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.202 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.202 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.202 * [taylor]: Taking taylor expansion of 0.5 in y 0.202 * [backup-simplify]: Simplify 0.5 into 0.5 0.202 * [taylor]: Taking taylor expansion of (/ y x) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [backup-simplify]: Simplify x into x 0.202 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.202 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.203 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.203 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.203 * [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 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.204 * [backup-simplify]: Simplify (+ 0) into 0 0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [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 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.206 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.207 * [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))) 0.207 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.208 * [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 0.208 * [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 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.210 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.211 * [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 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [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 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [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))) 0.213 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 0.213 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.213 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.213 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.213 * [taylor]: Taking taylor expansion of 0.5 in y 0.213 * [backup-simplify]: Simplify 0.5 into 0.5 0.213 * [taylor]: Taking taylor expansion of (/ y x) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [backup-simplify]: Simplify x into x 0.213 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.213 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.213 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.213 * [taylor]: Taking taylor expansion of 0.5 in y 0.213 * [backup-simplify]: Simplify 0.5 into 0.5 0.213 * [taylor]: Taking taylor expansion of (/ y x) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [backup-simplify]: Simplify x into x 0.213 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.213 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.213 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.213 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.213 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.213 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.213 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.213 * [taylor]: Taking taylor expansion of 0.5 in x 0.214 * [backup-simplify]: Simplify 0.5 into 0.5 0.214 * [taylor]: Taking taylor expansion of (/ y x) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ y 1) into y 0.214 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.214 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.214 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.214 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.214 * [taylor]: Taking taylor expansion of 0.5 in x 0.214 * [backup-simplify]: Simplify 0.5 into 0.5 0.214 * [taylor]: Taking taylor expansion of (/ y x) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ y 1) into y 0.214 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.214 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.214 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.214 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.214 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.214 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.214 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.214 * [taylor]: Taking taylor expansion of 0.5 in x 0.214 * [backup-simplify]: Simplify 0.5 into 0.5 0.214 * [taylor]: Taking taylor expansion of (/ y x) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ y 1) into y 0.214 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.215 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.215 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.215 * [taylor]: Taking taylor expansion of 0.5 in x 0.215 * [backup-simplify]: Simplify 0.5 into 0.5 0.215 * [taylor]: Taking taylor expansion of (/ y x) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ y 1) into y 0.215 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.215 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.215 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.215 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.215 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.215 * [taylor]: Taking taylor expansion of 0.5 in y 0.215 * [backup-simplify]: Simplify 0.5 into 0.5 0.215 * [taylor]: Taking taylor expansion of (/ y x) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [backup-simplify]: Simplify x into x 0.215 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.215 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.215 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.215 * [taylor]: Taking taylor expansion of 0.5 in y 0.215 * [backup-simplify]: Simplify 0.5 into 0.5 0.215 * [taylor]: Taking taylor expansion of (/ y x) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [backup-simplify]: Simplify x into x 0.215 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.215 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.216 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.216 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 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))))))) 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 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 1) 1))) into 0 0.217 * [backup-simplify]: Simplify (+ 0) into 0 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 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))))))) into 0 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.220 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.220 * [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))) 0.220 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.221 * [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 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.222 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.223 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.225 * [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 0.225 * [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))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [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))) 0.226 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.226 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 0.226 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 0.226 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.226 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.226 * [taylor]: Taking taylor expansion of 0.5 in y 0.226 * [backup-simplify]: Simplify 0.5 into 0.5 0.226 * [taylor]: Taking taylor expansion of (/ x y) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [backup-simplify]: Simplify x into x 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ x 1) into x 0.226 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.226 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.226 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.226 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.226 * [taylor]: Taking taylor expansion of 0.5 in x 0.226 * [backup-simplify]: Simplify 0.5 into 0.5 0.226 * [taylor]: Taking taylor expansion of (/ x y) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [backup-simplify]: Simplify y into y 0.226 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.226 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.226 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.226 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.226 * [taylor]: Taking taylor expansion of 0.5 in x 0.226 * [backup-simplify]: Simplify 0.5 into 0.5 0.226 * [taylor]: Taking taylor expansion of (/ x y) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [backup-simplify]: Simplify y into y 0.226 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.226 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 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 (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.227 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.227 * [taylor]: Taking taylor expansion of 0.5 in y 0.227 * [backup-simplify]: Simplify 0.5 into 0.5 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.228 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 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 (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 0.230 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.230 * [taylor]: Taking taylor expansion of 0.5 in y 0.230 * [backup-simplify]: Simplify 0.5 into 0.5 0.230 * [taylor]: Taking taylor expansion of (/ y x) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [backup-simplify]: Simplify x into x 0.230 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.230 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.231 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.231 * [taylor]: Taking taylor expansion of 0.5 in x 0.231 * [backup-simplify]: Simplify 0.5 into 0.5 0.231 * [taylor]: Taking taylor expansion of (/ y x) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [backup-simplify]: Simplify y into y 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ y 1) into y 0.231 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.231 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.231 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.231 * [taylor]: Taking taylor expansion of 0.5 in x 0.231 * [backup-simplify]: Simplify 0.5 into 0.5 0.231 * [taylor]: Taking taylor expansion of (/ y x) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [backup-simplify]: Simplify y into y 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ y 1) into y 0.231 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.231 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.231 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.231 * [taylor]: Taking taylor expansion of 0.5 in y 0.231 * [backup-simplify]: Simplify 0.5 into 0.5 0.231 * [taylor]: Taking taylor expansion of (/ y x) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of x in y 0.232 * [backup-simplify]: Simplify x into x 0.232 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.232 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.232 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 0.233 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 0.233 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.233 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.233 * [taylor]: Taking taylor expansion of 0.5 in y 0.233 * [backup-simplify]: Simplify 0.5 into 0.5 0.233 * [taylor]: Taking taylor expansion of (/ y x) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [backup-simplify]: Simplify x into x 0.233 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.233 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.233 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.234 * [taylor]: Taking taylor expansion of 0.5 in x 0.234 * [backup-simplify]: Simplify 0.5 into 0.5 0.234 * [taylor]: Taking taylor expansion of (/ y x) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [backup-simplify]: Simplify y into y 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ y 1) into y 0.234 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.234 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.234 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.234 * [taylor]: Taking taylor expansion of 0.5 in x 0.234 * [backup-simplify]: Simplify 0.5 into 0.5 0.234 * [taylor]: Taking taylor expansion of (/ y x) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [backup-simplify]: Simplify y into y 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ y 1) into y 0.234 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.234 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.234 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.234 * [taylor]: Taking taylor expansion of 0.5 in y 0.234 * [backup-simplify]: Simplify 0.5 into 0.5 0.234 * [taylor]: Taking taylor expansion of (/ y x) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [backup-simplify]: Simplify x into x 0.234 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.234 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.235 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 0.236 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.236 * [backup-simplify]: Simplify (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) into (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 0.236 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.236 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.236 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.236 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.236 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.236 * [taylor]: Taking taylor expansion of 0.5 in y 0.236 * [backup-simplify]: Simplify 0.5 into 0.5 0.236 * [taylor]: Taking taylor expansion of (/ x y) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [backup-simplify]: Simplify x into x 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ x 1) into x 0.236 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.236 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.236 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.237 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.237 * [taylor]: Taking taylor expansion of 0.5 in y 0.237 * [backup-simplify]: Simplify 0.5 into 0.5 0.237 * [taylor]: Taking taylor expansion of (/ x y) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [backup-simplify]: Simplify x into x 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ x 1) into x 0.237 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.237 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.237 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.237 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.237 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.237 * [taylor]: Taking taylor expansion of 0.5 in y 0.237 * [backup-simplify]: Simplify 0.5 into 0.5 0.237 * [taylor]: Taking taylor expansion of (/ x y) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [backup-simplify]: Simplify x into x 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ x 1) into x 0.237 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.237 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.237 * [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)))) 0.237 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.237 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.237 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.237 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.238 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.238 * [taylor]: Taking taylor expansion of 0.5 in x 0.238 * [backup-simplify]: Simplify 0.5 into 0.5 0.238 * [taylor]: Taking taylor expansion of (/ x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [backup-simplify]: Simplify y into y 0.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.238 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.238 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.238 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.238 * [taylor]: Taking taylor expansion of 0.5 in x 0.238 * [backup-simplify]: Simplify 0.5 into 0.5 0.238 * [taylor]: Taking taylor expansion of (/ x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [backup-simplify]: Simplify y into y 0.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.238 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.238 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.238 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.238 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.238 * [taylor]: Taking taylor expansion of 0.5 in x 0.238 * [backup-simplify]: Simplify 0.5 into 0.5 0.238 * [taylor]: Taking taylor expansion of (/ x y) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [backup-simplify]: Simplify y into y 0.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.238 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.239 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.239 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.239 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.239 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.239 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.239 * [taylor]: Taking taylor expansion of 0.5 in x 0.239 * [backup-simplify]: Simplify 0.5 into 0.5 0.239 * [taylor]: Taking taylor expansion of (/ x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [backup-simplify]: Simplify y into y 0.239 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.239 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.239 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.239 * [taylor]: Taking taylor expansion of 0.5 in x 0.239 * [backup-simplify]: Simplify 0.5 into 0.5 0.239 * [taylor]: Taking taylor expansion of (/ x y) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [backup-simplify]: Simplify y into y 0.239 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.239 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.239 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.239 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.239 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.239 * [taylor]: Taking taylor expansion of 0.5 in x 0.239 * [backup-simplify]: Simplify 0.5 into 0.5 0.239 * [taylor]: Taking taylor expansion of (/ x y) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [backup-simplify]: Simplify y into y 0.240 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.240 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.240 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.240 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.240 * [taylor]: Taking taylor expansion of 1.0 in y 0.240 * [backup-simplify]: Simplify 1.0 into 1.0 0.240 * [backup-simplify]: Simplify 1.0 into 1.0 0.240 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.241 * [backup-simplify]: Simplify (+ 0) into 0 0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.243 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) into 0 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.244 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.245 * [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))) 0.245 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.246 * [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))) 0.246 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 0.246 * [taylor]: Taking taylor expansion of 0.125 in y 0.246 * [backup-simplify]: Simplify 0.125 into 0.125 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (* 1 1) into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.251 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.253 * [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 0.253 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.255 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.255 * [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 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1.0 into 1.0 0.255 * [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)))) 0.256 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.256 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.256 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.256 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.256 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.256 * [taylor]: Taking taylor expansion of 0.5 in y 0.256 * [backup-simplify]: Simplify 0.5 into 0.5 0.256 * [taylor]: Taking taylor expansion of (/ y x) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [backup-simplify]: Simplify x into x 0.256 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.256 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.256 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.256 * [taylor]: Taking taylor expansion of 0.5 in y 0.256 * [backup-simplify]: Simplify 0.5 into 0.5 0.256 * [taylor]: Taking taylor expansion of (/ y x) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [backup-simplify]: Simplify x into x 0.256 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.256 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.256 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.256 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.256 * [taylor]: Taking taylor expansion of 0.5 in y 0.256 * [backup-simplify]: Simplify 0.5 into 0.5 0.256 * [taylor]: Taking taylor expansion of (/ y x) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [backup-simplify]: Simplify x into x 0.257 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.257 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.257 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.257 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.257 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.257 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.257 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.257 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.257 * [taylor]: Taking taylor expansion of 0.5 in x 0.257 * [backup-simplify]: Simplify 0.5 into 0.5 0.257 * [taylor]: Taking taylor expansion of (/ y x) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [backup-simplify]: Simplify y into y 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ y 1) into y 0.257 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.257 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.257 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.257 * [taylor]: Taking taylor expansion of 0.5 in x 0.257 * [backup-simplify]: Simplify 0.5 into 0.5 0.257 * [taylor]: Taking taylor expansion of (/ y x) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [backup-simplify]: Simplify y into y 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ y 1) into y 0.257 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.257 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.258 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.258 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.258 * [taylor]: Taking taylor expansion of 0.5 in x 0.258 * [backup-simplify]: Simplify 0.5 into 0.5 0.258 * [taylor]: Taking taylor expansion of (/ y x) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [backup-simplify]: Simplify y into y 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ y 1) into y 0.258 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.258 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.258 * [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)))) 0.258 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.258 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.258 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.258 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.258 * [taylor]: Taking taylor expansion of 0.5 in x 0.258 * [backup-simplify]: Simplify 0.5 into 0.5 0.258 * [taylor]: Taking taylor expansion of (/ y x) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [backup-simplify]: Simplify y into y 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ y 1) into y 0.258 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.258 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.258 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.259 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.259 * [taylor]: Taking taylor expansion of 0.5 in x 0.259 * [backup-simplify]: Simplify 0.5 into 0.5 0.259 * [taylor]: Taking taylor expansion of (/ y x) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [backup-simplify]: Simplify y into y 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ y 1) into y 0.259 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.259 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.259 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.259 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.259 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.259 * [taylor]: Taking taylor expansion of 0.5 in x 0.259 * [backup-simplify]: Simplify 0.5 into 0.5 0.259 * [taylor]: Taking taylor expansion of (/ y x) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [backup-simplify]: Simplify y into y 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (/ y 1) into y 0.259 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.259 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.259 * [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)))) 0.259 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.259 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.259 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.259 * [taylor]: Taking taylor expansion of 0.5 in y 0.259 * [backup-simplify]: Simplify 0.5 into 0.5 0.260 * [taylor]: Taking taylor expansion of (/ y x) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [backup-simplify]: Simplify x into x 0.260 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.260 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [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 0.260 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (+ 0) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.262 * [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 0.262 * [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 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.263 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.263 * [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 0.264 * [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 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [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 0.266 * [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 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [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) 0.267 * [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)))) 0.267 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.267 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.267 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.267 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.267 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.267 * [taylor]: Taking taylor expansion of 0.5 in y 0.267 * [backup-simplify]: Simplify 0.5 into 0.5 0.267 * [taylor]: Taking taylor expansion of (/ y x) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [backup-simplify]: Simplify x into x 0.267 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.267 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.267 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.267 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.267 * [taylor]: Taking taylor expansion of 0.5 in y 0.267 * [backup-simplify]: Simplify 0.5 into 0.5 0.267 * [taylor]: Taking taylor expansion of (/ y x) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [backup-simplify]: Simplify x into x 0.267 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.267 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.268 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.268 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.268 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.268 * [taylor]: Taking taylor expansion of 0.5 in y 0.268 * [backup-simplify]: Simplify 0.5 into 0.5 0.268 * [taylor]: Taking taylor expansion of (/ y x) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [backup-simplify]: Simplify x into x 0.268 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.268 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.268 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.268 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.268 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.268 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.268 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.268 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.268 * [taylor]: Taking taylor expansion of 0.5 in x 0.268 * [backup-simplify]: Simplify 0.5 into 0.5 0.268 * [taylor]: Taking taylor expansion of (/ y x) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [backup-simplify]: Simplify y into y 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ y 1) into y 0.268 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.269 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.269 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.269 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.269 * [taylor]: Taking taylor expansion of 0.5 in x 0.269 * [backup-simplify]: Simplify 0.5 into 0.5 0.269 * [taylor]: Taking taylor expansion of (/ y x) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [backup-simplify]: Simplify y into y 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ y 1) into y 0.269 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.269 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.269 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.269 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.269 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.269 * [taylor]: Taking taylor expansion of 0.5 in x 0.269 * [backup-simplify]: Simplify 0.5 into 0.5 0.269 * [taylor]: Taking taylor expansion of (/ y x) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [backup-simplify]: Simplify y into y 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ y 1) into y 0.269 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.269 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.269 * [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)))) 0.269 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.269 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.269 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.270 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.270 * [taylor]: Taking taylor expansion of 0.5 in x 0.270 * [backup-simplify]: Simplify 0.5 into 0.5 0.270 * [taylor]: Taking taylor expansion of (/ y x) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [backup-simplify]: Simplify y into y 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ y 1) into y 0.270 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.270 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.270 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.270 * [taylor]: Taking taylor expansion of 0.5 in x 0.270 * [backup-simplify]: Simplify 0.5 into 0.5 0.270 * [taylor]: Taking taylor expansion of (/ y x) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [backup-simplify]: Simplify y into y 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ y 1) into y 0.270 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.270 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.270 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.270 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.270 * [taylor]: Taking taylor expansion of 0.5 in x 0.270 * [backup-simplify]: Simplify 0.5 into 0.5 0.270 * [taylor]: Taking taylor expansion of (/ y x) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [backup-simplify]: Simplify y into y 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ y 1) into y 0.270 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.271 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.271 * [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)))) 0.271 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.271 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.271 * [taylor]: Taking taylor expansion of 0.5 in y 0.271 * [backup-simplify]: Simplify 0.5 into 0.5 0.271 * [taylor]: Taking taylor expansion of (/ y x) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [backup-simplify]: Simplify x into x 0.271 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.271 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [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 0.272 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ 0) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [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 0.273 * [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 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.274 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.275 * [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 0.275 * [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 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [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 0.278 * [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 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [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) 0.278 * * * [progress]: simplifying candidates 0.279 * [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) 0.280 * * [simplify]: Extracting # 0 : cost 0 0.280 * * [simplify]: Extracting # 1 : cost 0 0.280 * * [simplify]: Extracting # 2 : cost 0 0.280 * * [simplify]: Extracting # 3 : cost 0 0.280 * * [simplify]: Extracting # 4 : cost 0 0.281 * * [simplify]: Extracting # 5 : cost 0 0.281 * * [simplify]: Extracting # 6 : cost 0 0.281 * * [simplify]: Extracting # 7 : cost 0 0.281 * * [simplify]: Extracting # 8 : cost 0 0.281 * * [simplify]: iteration 0 : 77 enodes (cost 822 ) 0.299 * * [simplify]: Extracting # 0 : cost 0 0.299 * * [simplify]: Extracting # 1 : cost 0 0.299 * * [simplify]: Extracting # 2 : cost 0 0.299 * * [simplify]: Extracting # 3 : cost 0 0.299 * * [simplify]: Extracting # 4 : cost 0 0.300 * * [simplify]: iteration 1 : 139 enodes (cost 813 ) 0.334 * * [simplify]: Extracting # 0 : cost 0 0.334 * * [simplify]: Extracting # 1 : cost 0 0.335 * * [simplify]: Extracting # 2 : cost 0 0.336 * * [simplify]: Extracting # 3 : cost 0 0.336 * * [simplify]: Extracting # 4 : cost 0 0.337 * * [simplify]: iteration 2 : 323 enodes (cost 737 ) 0.435 * * [simplify]: Extracting # 0 : cost 0 0.436 * * [simplify]: Extracting # 1 : cost 0 0.438 * * [simplify]: Extracting # 2 : cost 0 0.439 * * [simplify]: Extracting # 3 : cost 0 0.440 * * [simplify]: iteration 3 : 803 enodes (cost 733 ) 1.058 * * [simplify]: Extracting # 0 : cost 0 1.061 * * [simplify]: Extracting # 1 : cost 0 1.065 * * [simplify]: Extracting # 2 : cost 0 1.067 * * [simplify]: Extracting # 3 : cost 0 1.070 * * [simplify]: Extracting # 4 : cost 0 1.072 * * [simplify]: iteration 4 : 2504 enodes (cost 733 ) 2.065 * * [simplify]: Extracting # 0 : cost 0 2.076 * * [simplify]: Extracting # 1 : cost 0 2.085 * * [simplify]: Extracting # 2 : cost 0 2.090 * * [simplify]: iteration done: 5000 enodes (cost 733 ) 2.091 * [simplify]: Simplified to: (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)))) (pow (tan (/ x (* y 2.0))) 3) (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)))) (pow (sin (/ x (* y 2.0))) 3) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (log (/ (tan (/ x (* y 2.0))) (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))))) (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) (* (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))))) (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) (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))))) (/ (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)))) (/ (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 (/ (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))) (/ (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 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 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) 2.091 * * * [progress]: adding candidates to table 2.287 * * [progress]: iteration 2 / 4 2.287 * * * [progress]: picking best candidate 2.324 * * * * [pick]: Picked # 2.324 * * * [progress]: localizing error 2.324 * * * [progress]: generating rewritten candidates 2.324 * * * [progress]: generating series expansions 2.324 * * * [progress]: simplifying candidates 2.325 * [simplify]: Simplifying: 2.325 * * [simplify]: Extracting # 0 : cost 0 2.325 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 2.325 * * [simplify]: Extracting # 0 : cost 0 2.325 * * [simplify]: iteration done: 0 enodes (cost 0 ) 2.325 * [simplify]: Simplified to: 2.325 * * * [progress]: adding candidates to table 2.325 * * [progress]: iteration 3 / 4 2.325 * * * [progress]: picking best candidate 2.378 * * * * [pick]: Picked # 2.378 * * * [progress]: localizing error 2.407 * * * [progress]: generating rewritten candidates 2.407 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.412 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 2.417 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.422 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 2.429 * * * [progress]: generating series expansions 2.429 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.429 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 2.429 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 2.429 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 2.429 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.429 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 2.429 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.429 * [taylor]: Taking taylor expansion of 0.5 in y 2.429 * [backup-simplify]: Simplify 0.5 into 0.5 2.429 * [taylor]: Taking taylor expansion of (/ x y) in y 2.429 * [taylor]: Taking taylor expansion of x in y 2.429 * [backup-simplify]: Simplify x into x 2.429 * [taylor]: Taking taylor expansion of y in y 2.429 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify 1 into 1 2.429 * [backup-simplify]: Simplify (/ x 1) into x 2.429 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.430 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 2.430 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 2.430 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.430 * [taylor]: Taking taylor expansion of 0.5 in y 2.430 * [backup-simplify]: Simplify 0.5 into 0.5 2.430 * [taylor]: Taking taylor expansion of (/ x y) in y 2.430 * [taylor]: Taking taylor expansion of x in y 2.430 * [backup-simplify]: Simplify x into x 2.430 * [taylor]: Taking taylor expansion of y in y 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.430 * [backup-simplify]: Simplify (/ x 1) into x 2.430 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.430 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 2.430 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.430 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 2.430 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.430 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.430 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.430 * [taylor]: Taking taylor expansion of 0.5 in x 2.430 * [backup-simplify]: Simplify 0.5 into 0.5 2.430 * [taylor]: Taking taylor expansion of (/ x y) in x 2.430 * [taylor]: Taking taylor expansion of x in x 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.430 * [taylor]: Taking taylor expansion of y in x 2.430 * [backup-simplify]: Simplify y into y 2.430 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.430 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.430 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.430 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.430 * [taylor]: Taking taylor expansion of 0.5 in x 2.430 * [backup-simplify]: Simplify 0.5 into 0.5 2.430 * [taylor]: Taking taylor expansion of (/ x y) in x 2.430 * [taylor]: Taking taylor expansion of x in x 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.430 * [taylor]: Taking taylor expansion of y in x 2.430 * [backup-simplify]: Simplify y into y 2.430 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.431 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.431 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 2.431 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 2.431 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.431 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.431 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.431 * [taylor]: Taking taylor expansion of 0.5 in x 2.431 * [backup-simplify]: Simplify 0.5 into 0.5 2.431 * [taylor]: Taking taylor expansion of (/ x y) in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.431 * [taylor]: Taking taylor expansion of y in x 2.431 * [backup-simplify]: Simplify y into y 2.431 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.431 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.431 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.431 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.431 * [taylor]: Taking taylor expansion of 0.5 in x 2.431 * [backup-simplify]: Simplify 0.5 into 0.5 2.431 * [taylor]: Taking taylor expansion of (/ x y) in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.431 * [taylor]: Taking taylor expansion of y in x 2.431 * [backup-simplify]: Simplify y into y 2.431 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.431 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.431 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 2.432 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 2.432 * [taylor]: Taking taylor expansion of 0.5 in y 2.432 * [backup-simplify]: Simplify 0.5 into 0.5 2.432 * [taylor]: Taking taylor expansion of y in y 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.433 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.434 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.434 * [backup-simplify]: Simplify (+ 0) into 0 2.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 2.435 * [taylor]: Taking taylor expansion of 0 in y 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.436 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 2.437 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 2.437 * [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))) 2.437 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 2.437 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 2.437 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 2.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.437 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.438 * [taylor]: Taking taylor expansion of y in y 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [backup-simplify]: Simplify (* 1 1) into 1 2.438 * [backup-simplify]: Simplify (* 1 1) into 1 2.438 * [backup-simplify]: Simplify (/ 1 1) into 1 2.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 2.444 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.444 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.444 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.444 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.444 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.444 * [taylor]: Taking taylor expansion of 0.5 in y 2.444 * [backup-simplify]: Simplify 0.5 into 0.5 2.444 * [taylor]: Taking taylor expansion of (/ y x) in y 2.444 * [taylor]: Taking taylor expansion of y in y 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 1 into 1 2.444 * [taylor]: Taking taylor expansion of x in y 2.444 * [backup-simplify]: Simplify x into x 2.444 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.444 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.444 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.444 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.444 * [taylor]: Taking taylor expansion of 0.5 in y 2.444 * [backup-simplify]: Simplify 0.5 into 0.5 2.444 * [taylor]: Taking taylor expansion of (/ y x) in y 2.444 * [taylor]: Taking taylor expansion of y in y 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 1 into 1 2.444 * [taylor]: Taking taylor expansion of x in y 2.444 * [backup-simplify]: Simplify x into x 2.444 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.445 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.445 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.445 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.445 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.445 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.445 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.445 * [taylor]: Taking taylor expansion of 0.5 in x 2.445 * [backup-simplify]: Simplify 0.5 into 0.5 2.445 * [taylor]: Taking taylor expansion of (/ y x) in x 2.445 * [taylor]: Taking taylor expansion of y in x 2.445 * [backup-simplify]: Simplify y into y 2.445 * [taylor]: Taking taylor expansion of x in x 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 1 into 1 2.445 * [backup-simplify]: Simplify (/ y 1) into y 2.445 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.445 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.445 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.445 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.445 * [taylor]: Taking taylor expansion of 0.5 in x 2.445 * [backup-simplify]: Simplify 0.5 into 0.5 2.445 * [taylor]: Taking taylor expansion of (/ y x) in x 2.445 * [taylor]: Taking taylor expansion of y in x 2.445 * [backup-simplify]: Simplify y into y 2.445 * [taylor]: Taking taylor expansion of x in x 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 1 into 1 2.445 * [backup-simplify]: Simplify (/ y 1) into y 2.445 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.445 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.446 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.446 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.446 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.446 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.446 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.446 * [taylor]: Taking taylor expansion of 0.5 in x 2.446 * [backup-simplify]: Simplify 0.5 into 0.5 2.446 * [taylor]: Taking taylor expansion of (/ y x) in x 2.446 * [taylor]: Taking taylor expansion of y in x 2.446 * [backup-simplify]: Simplify y into y 2.446 * [taylor]: Taking taylor expansion of x in x 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 1 into 1 2.446 * [backup-simplify]: Simplify (/ y 1) into y 2.446 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.446 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.446 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.446 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.446 * [taylor]: Taking taylor expansion of 0.5 in x 2.446 * [backup-simplify]: Simplify 0.5 into 0.5 2.446 * [taylor]: Taking taylor expansion of (/ y x) in x 2.446 * [taylor]: Taking taylor expansion of y in x 2.446 * [backup-simplify]: Simplify y into y 2.446 * [taylor]: Taking taylor expansion of x in x 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 1 into 1 2.446 * [backup-simplify]: Simplify (/ y 1) into y 2.446 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.446 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.447 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.447 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.447 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.447 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.447 * [taylor]: Taking taylor expansion of 0.5 in y 2.447 * [backup-simplify]: Simplify 0.5 into 0.5 2.447 * [taylor]: Taking taylor expansion of (/ y x) in y 2.447 * [taylor]: Taking taylor expansion of y in y 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 1 into 1 2.447 * [taylor]: Taking taylor expansion of x in y 2.447 * [backup-simplify]: Simplify x into x 2.447 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.447 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.447 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.447 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.447 * [taylor]: Taking taylor expansion of 0.5 in y 2.447 * [backup-simplify]: Simplify 0.5 into 0.5 2.447 * [taylor]: Taking taylor expansion of (/ y x) in y 2.447 * [taylor]: Taking taylor expansion of y in y 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 1 into 1 2.447 * [taylor]: Taking taylor expansion of x in y 2.447 * [backup-simplify]: Simplify x into x 2.447 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.447 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.448 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.448 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.448 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.448 * [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 2.448 * [taylor]: Taking taylor expansion of 0 in y 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.449 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.449 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.450 * [backup-simplify]: Simplify (+ 0) into 0 2.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [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 2.451 * [taylor]: Taking taylor expansion of 0 in y 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.452 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.453 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.454 * [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))) 2.454 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.455 * [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 2.455 * [taylor]: Taking taylor expansion of 0 in y 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.456 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.457 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.458 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.458 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.459 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.460 * [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 2.460 * [backup-simplify]: Simplify 0 into 0 2.461 * [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 2.461 * [taylor]: Taking taylor expansion of 0 in y 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 0 into 0 2.462 * [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))) 2.462 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 2.462 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.462 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.462 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.462 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.462 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.462 * [taylor]: Taking taylor expansion of 0.5 in y 2.462 * [backup-simplify]: Simplify 0.5 into 0.5 2.462 * [taylor]: Taking taylor expansion of (/ y x) in y 2.462 * [taylor]: Taking taylor expansion of y in y 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [taylor]: Taking taylor expansion of x in y 2.462 * [backup-simplify]: Simplify x into x 2.462 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.462 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.462 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.462 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.462 * [taylor]: Taking taylor expansion of 0.5 in y 2.462 * [backup-simplify]: Simplify 0.5 into 0.5 2.462 * [taylor]: Taking taylor expansion of (/ y x) in y 2.462 * [taylor]: Taking taylor expansion of y in y 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [taylor]: Taking taylor expansion of x in y 2.463 * [backup-simplify]: Simplify x into x 2.463 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.463 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.463 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.463 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.463 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.463 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.463 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.463 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.463 * [taylor]: Taking taylor expansion of 0.5 in x 2.463 * [backup-simplify]: Simplify 0.5 into 0.5 2.463 * [taylor]: Taking taylor expansion of (/ y x) in x 2.463 * [taylor]: Taking taylor expansion of y in x 2.463 * [backup-simplify]: Simplify y into y 2.463 * [taylor]: Taking taylor expansion of x in x 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (/ y 1) into y 2.463 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.463 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.463 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.464 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.464 * [taylor]: Taking taylor expansion of 0.5 in x 2.464 * [backup-simplify]: Simplify 0.5 into 0.5 2.464 * [taylor]: Taking taylor expansion of (/ y x) in x 2.464 * [taylor]: Taking taylor expansion of y in x 2.464 * [backup-simplify]: Simplify y into y 2.464 * [taylor]: Taking taylor expansion of x in x 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [backup-simplify]: Simplify (/ y 1) into y 2.464 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.464 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.464 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.464 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.464 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.464 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.464 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.464 * [taylor]: Taking taylor expansion of 0.5 in x 2.464 * [backup-simplify]: Simplify 0.5 into 0.5 2.464 * [taylor]: Taking taylor expansion of (/ y x) in x 2.464 * [taylor]: Taking taylor expansion of y in x 2.464 * [backup-simplify]: Simplify y into y 2.464 * [taylor]: Taking taylor expansion of x in x 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.465 * [backup-simplify]: Simplify (/ y 1) into y 2.465 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.465 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.465 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.465 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.465 * [taylor]: Taking taylor expansion of 0.5 in x 2.465 * [backup-simplify]: Simplify 0.5 into 0.5 2.465 * [taylor]: Taking taylor expansion of (/ y x) in x 2.465 * [taylor]: Taking taylor expansion of y in x 2.465 * [backup-simplify]: Simplify y into y 2.465 * [taylor]: Taking taylor expansion of x in x 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [backup-simplify]: Simplify (/ y 1) into y 2.465 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.465 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.465 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.465 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.465 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.465 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.465 * [taylor]: Taking taylor expansion of 0.5 in y 2.465 * [backup-simplify]: Simplify 0.5 into 0.5 2.465 * [taylor]: Taking taylor expansion of (/ y x) in y 2.466 * [taylor]: Taking taylor expansion of y in y 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [taylor]: Taking taylor expansion of x in y 2.466 * [backup-simplify]: Simplify x into x 2.466 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.466 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.466 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.466 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.466 * [taylor]: Taking taylor expansion of 0.5 in y 2.466 * [backup-simplify]: Simplify 0.5 into 0.5 2.466 * [taylor]: Taking taylor expansion of (/ y x) in y 2.466 * [taylor]: Taking taylor expansion of y in y 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [taylor]: Taking taylor expansion of x in y 2.466 * [backup-simplify]: Simplify x into x 2.466 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.466 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.466 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.466 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.467 * [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 2.467 * [taylor]: Taking taylor expansion of 0 in y 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.468 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.468 * [backup-simplify]: Simplify (+ 0) into 0 2.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.470 * [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 2.470 * [taylor]: Taking taylor expansion of 0 in y 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.477 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.478 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.478 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.479 * [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))) 2.479 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.480 * [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 2.480 * [taylor]: Taking taylor expansion of 0 in y 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.481 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.482 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.482 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.483 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.485 * [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 2.485 * [backup-simplify]: Simplify 0 into 0 2.486 * [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 2.486 * [taylor]: Taking taylor expansion of 0 in y 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.487 * [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))) 2.487 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 2.487 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 2.487 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 2.487 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 2.487 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.487 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 2.487 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.487 * [taylor]: Taking taylor expansion of 0.5 in y 2.487 * [backup-simplify]: Simplify 0.5 into 0.5 2.487 * [taylor]: Taking taylor expansion of (/ x y) in y 2.487 * [taylor]: Taking taylor expansion of x in y 2.487 * [backup-simplify]: Simplify x into x 2.487 * [taylor]: Taking taylor expansion of y in y 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify 1 into 1 2.487 * [backup-simplify]: Simplify (/ x 1) into x 2.487 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.487 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 2.487 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 2.487 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.488 * [taylor]: Taking taylor expansion of 0.5 in y 2.488 * [backup-simplify]: Simplify 0.5 into 0.5 2.488 * [taylor]: Taking taylor expansion of (/ x y) in y 2.488 * [taylor]: Taking taylor expansion of x in y 2.488 * [backup-simplify]: Simplify x into x 2.488 * [taylor]: Taking taylor expansion of y in y 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 1 into 1 2.488 * [backup-simplify]: Simplify (/ x 1) into x 2.488 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.488 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 2.488 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.488 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 2.488 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.488 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.488 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.488 * [taylor]: Taking taylor expansion of 0.5 in x 2.488 * [backup-simplify]: Simplify 0.5 into 0.5 2.488 * [taylor]: Taking taylor expansion of (/ x y) in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 1 into 1 2.489 * [taylor]: Taking taylor expansion of y in x 2.489 * [backup-simplify]: Simplify y into y 2.489 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.489 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.489 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.489 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.489 * [taylor]: Taking taylor expansion of 0.5 in x 2.489 * [backup-simplify]: Simplify 0.5 into 0.5 2.489 * [taylor]: Taking taylor expansion of (/ x y) in x 2.489 * [taylor]: Taking taylor expansion of x in x 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.489 * [taylor]: Taking taylor expansion of y in x 2.489 * [backup-simplify]: Simplify y into y 2.489 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.489 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.489 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.489 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 2.489 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 2.489 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.489 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.489 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.490 * [taylor]: Taking taylor expansion of 0.5 in x 2.490 * [backup-simplify]: Simplify 0.5 into 0.5 2.490 * [taylor]: Taking taylor expansion of (/ x y) in x 2.490 * [taylor]: Taking taylor expansion of x in x 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 1 into 1 2.490 * [taylor]: Taking taylor expansion of y in x 2.490 * [backup-simplify]: Simplify y into y 2.490 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.490 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.490 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.490 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.490 * [taylor]: Taking taylor expansion of 0.5 in x 2.490 * [backup-simplify]: Simplify 0.5 into 0.5 2.490 * [taylor]: Taking taylor expansion of (/ x y) in x 2.490 * [taylor]: Taking taylor expansion of x in x 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 1 into 1 2.490 * [taylor]: Taking taylor expansion of y in x 2.490 * [backup-simplify]: Simplify y into y 2.490 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.490 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.490 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.490 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 2.491 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 2.491 * [taylor]: Taking taylor expansion of 0.5 in y 2.491 * [backup-simplify]: Simplify 0.5 into 0.5 2.491 * [taylor]: Taking taylor expansion of y in y 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.492 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.492 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.493 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.493 * [backup-simplify]: Simplify (+ 0) into 0 2.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 2.494 * [taylor]: Taking taylor expansion of 0 in y 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.496 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.497 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 2.497 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 2.498 * [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))) 2.498 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 2.498 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 2.498 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.498 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.498 * [taylor]: Taking taylor expansion of y in y 2.498 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify 1 into 1 2.498 * [backup-simplify]: Simplify (* 1 1) into 1 2.499 * [backup-simplify]: Simplify (* 1 1) into 1 2.499 * [backup-simplify]: Simplify (/ 1 1) into 1 2.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 2.507 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.507 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.507 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.507 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.507 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.507 * [taylor]: Taking taylor expansion of 0.5 in y 2.507 * [backup-simplify]: Simplify 0.5 into 0.5 2.507 * [taylor]: Taking taylor expansion of (/ y x) in y 2.507 * [taylor]: Taking taylor expansion of y in y 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.507 * [taylor]: Taking taylor expansion of x in y 2.507 * [backup-simplify]: Simplify x into x 2.508 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.508 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.508 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.508 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.508 * [taylor]: Taking taylor expansion of 0.5 in y 2.508 * [backup-simplify]: Simplify 0.5 into 0.5 2.508 * [taylor]: Taking taylor expansion of (/ y x) in y 2.508 * [taylor]: Taking taylor expansion of y in y 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.508 * [taylor]: Taking taylor expansion of x in y 2.508 * [backup-simplify]: Simplify x into x 2.508 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.508 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.508 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.508 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.508 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.508 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.508 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.508 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.508 * [taylor]: Taking taylor expansion of 0.5 in x 2.508 * [backup-simplify]: Simplify 0.5 into 0.5 2.508 * [taylor]: Taking taylor expansion of (/ y x) in x 2.509 * [taylor]: Taking taylor expansion of y in x 2.509 * [backup-simplify]: Simplify y into y 2.509 * [taylor]: Taking taylor expansion of x in x 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (/ y 1) into y 2.509 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.509 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.509 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.509 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.509 * [taylor]: Taking taylor expansion of 0.5 in x 2.509 * [backup-simplify]: Simplify 0.5 into 0.5 2.509 * [taylor]: Taking taylor expansion of (/ y x) in x 2.509 * [taylor]: Taking taylor expansion of y in x 2.509 * [backup-simplify]: Simplify y into y 2.509 * [taylor]: Taking taylor expansion of x in x 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [backup-simplify]: Simplify (/ y 1) into y 2.509 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.509 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.509 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.509 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.509 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.510 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.510 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.510 * [taylor]: Taking taylor expansion of 0.5 in x 2.510 * [backup-simplify]: Simplify 0.5 into 0.5 2.510 * [taylor]: Taking taylor expansion of (/ y x) in x 2.510 * [taylor]: Taking taylor expansion of y in x 2.510 * [backup-simplify]: Simplify y into y 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (/ y 1) into y 2.510 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.510 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.510 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.510 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.510 * [taylor]: Taking taylor expansion of 0.5 in x 2.510 * [backup-simplify]: Simplify 0.5 into 0.5 2.510 * [taylor]: Taking taylor expansion of (/ y x) in x 2.510 * [taylor]: Taking taylor expansion of y in x 2.510 * [backup-simplify]: Simplify y into y 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (/ y 1) into y 2.510 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.510 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.511 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.511 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.511 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.511 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.511 * [taylor]: Taking taylor expansion of 0.5 in y 2.511 * [backup-simplify]: Simplify 0.5 into 0.5 2.511 * [taylor]: Taking taylor expansion of (/ y x) in y 2.511 * [taylor]: Taking taylor expansion of y in y 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [taylor]: Taking taylor expansion of x in y 2.511 * [backup-simplify]: Simplify x into x 2.511 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.511 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.511 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.511 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.511 * [taylor]: Taking taylor expansion of 0.5 in y 2.511 * [backup-simplify]: Simplify 0.5 into 0.5 2.511 * [taylor]: Taking taylor expansion of (/ y x) in y 2.511 * [taylor]: Taking taylor expansion of y in y 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [taylor]: Taking taylor expansion of x in y 2.511 * [backup-simplify]: Simplify x into x 2.511 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.511 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.512 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.512 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.512 * [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 2.512 * [taylor]: Taking taylor expansion of 0 in y 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.513 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.513 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.514 * [backup-simplify]: Simplify (+ 0) into 0 2.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [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 2.515 * [taylor]: Taking taylor expansion of 0 in y 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.516 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.518 * [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))) 2.518 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.519 * [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 2.519 * [taylor]: Taking taylor expansion of 0 in y 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.521 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.522 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.522 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.523 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.524 * [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 2.524 * [backup-simplify]: Simplify 0 into 0 2.525 * [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 2.525 * [taylor]: Taking taylor expansion of 0 in y 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [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))) 2.526 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 2.526 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.526 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.526 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.526 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.526 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.526 * [taylor]: Taking taylor expansion of 0.5 in y 2.526 * [backup-simplify]: Simplify 0.5 into 0.5 2.526 * [taylor]: Taking taylor expansion of (/ y x) in y 2.526 * [taylor]: Taking taylor expansion of y in y 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [taylor]: Taking taylor expansion of x in y 2.526 * [backup-simplify]: Simplify x into x 2.526 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.526 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.526 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.526 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.526 * [taylor]: Taking taylor expansion of 0.5 in y 2.526 * [backup-simplify]: Simplify 0.5 into 0.5 2.526 * [taylor]: Taking taylor expansion of (/ y x) in y 2.526 * [taylor]: Taking taylor expansion of y in y 2.526 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify 1 into 1 2.526 * [taylor]: Taking taylor expansion of x in y 2.526 * [backup-simplify]: Simplify x into x 2.527 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.527 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.527 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.527 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.527 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.527 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.527 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.527 * [taylor]: Taking taylor expansion of 0.5 in x 2.527 * [backup-simplify]: Simplify 0.5 into 0.5 2.527 * [taylor]: Taking taylor expansion of (/ y x) in x 2.527 * [taylor]: Taking taylor expansion of y in x 2.527 * [backup-simplify]: Simplify y into y 2.527 * [taylor]: Taking taylor expansion of x in x 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [backup-simplify]: Simplify (/ y 1) into y 2.527 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.527 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.527 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.527 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.527 * [taylor]: Taking taylor expansion of 0.5 in x 2.527 * [backup-simplify]: Simplify 0.5 into 0.5 2.528 * [taylor]: Taking taylor expansion of (/ y x) in x 2.528 * [taylor]: Taking taylor expansion of y in x 2.528 * [backup-simplify]: Simplify y into y 2.528 * [taylor]: Taking taylor expansion of x in x 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (/ y 1) into y 2.528 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.528 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.528 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.528 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.528 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.528 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.528 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.528 * [taylor]: Taking taylor expansion of 0.5 in x 2.528 * [backup-simplify]: Simplify 0.5 into 0.5 2.528 * [taylor]: Taking taylor expansion of (/ y x) in x 2.528 * [taylor]: Taking taylor expansion of y in x 2.528 * [backup-simplify]: Simplify y into y 2.528 * [taylor]: Taking taylor expansion of x in x 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (/ y 1) into y 2.528 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.529 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.529 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.529 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.529 * [taylor]: Taking taylor expansion of 0.5 in x 2.529 * [backup-simplify]: Simplify 0.5 into 0.5 2.529 * [taylor]: Taking taylor expansion of (/ y x) in x 2.529 * [taylor]: Taking taylor expansion of y in x 2.529 * [backup-simplify]: Simplify y into y 2.529 * [taylor]: Taking taylor expansion of x in x 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 1 into 1 2.529 * [backup-simplify]: Simplify (/ y 1) into y 2.529 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.529 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.529 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.529 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.529 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.529 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.529 * [taylor]: Taking taylor expansion of 0.5 in y 2.529 * [backup-simplify]: Simplify 0.5 into 0.5 2.529 * [taylor]: Taking taylor expansion of (/ y x) in y 2.529 * [taylor]: Taking taylor expansion of y in y 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 1 into 1 2.530 * [taylor]: Taking taylor expansion of x in y 2.530 * [backup-simplify]: Simplify x into x 2.530 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.530 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.530 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.530 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.530 * [taylor]: Taking taylor expansion of 0.5 in y 2.530 * [backup-simplify]: Simplify 0.5 into 0.5 2.530 * [taylor]: Taking taylor expansion of (/ y x) in y 2.530 * [taylor]: Taking taylor expansion of y in y 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [taylor]: Taking taylor expansion of x in y 2.530 * [backup-simplify]: Simplify x into x 2.530 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.530 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.530 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.530 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.530 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.531 * [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 2.531 * [taylor]: Taking taylor expansion of 0 in y 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.532 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.532 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.532 * [backup-simplify]: Simplify (+ 0) into 0 2.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.533 * [backup-simplify]: Simplify 0 into 0 2.534 * [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 2.534 * [taylor]: Taking taylor expansion of 0 in y 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.535 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.535 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.536 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.537 * [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))) 2.537 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.537 * [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 2.537 * [taylor]: Taking taylor expansion of 0 in y 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.538 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.539 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.539 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.539 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.540 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.541 * [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 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [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 2.541 * [taylor]: Taking taylor expansion of 0 in y 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.542 * [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))) 2.542 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.542 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 2.542 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 2.542 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 2.542 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.542 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 2.542 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.542 * [taylor]: Taking taylor expansion of 0.5 in y 2.542 * [backup-simplify]: Simplify 0.5 into 0.5 2.542 * [taylor]: Taking taylor expansion of (/ x y) in y 2.542 * [taylor]: Taking taylor expansion of x in y 2.542 * [backup-simplify]: Simplify x into x 2.542 * [taylor]: Taking taylor expansion of y in y 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 1 into 1 2.542 * [backup-simplify]: Simplify (/ x 1) into x 2.542 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.542 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 2.542 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 2.542 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.542 * [taylor]: Taking taylor expansion of 0.5 in y 2.543 * [backup-simplify]: Simplify 0.5 into 0.5 2.543 * [taylor]: Taking taylor expansion of (/ x y) in y 2.543 * [taylor]: Taking taylor expansion of x in y 2.543 * [backup-simplify]: Simplify x into x 2.543 * [taylor]: Taking taylor expansion of y in y 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.543 * [backup-simplify]: Simplify (/ x 1) into x 2.543 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.543 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 2.543 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.543 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 2.543 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.543 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.543 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.543 * [taylor]: Taking taylor expansion of 0.5 in x 2.543 * [backup-simplify]: Simplify 0.5 into 0.5 2.543 * [taylor]: Taking taylor expansion of (/ x y) in x 2.543 * [taylor]: Taking taylor expansion of x in x 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.543 * [taylor]: Taking taylor expansion of y in x 2.543 * [backup-simplify]: Simplify y into y 2.543 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.543 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.543 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.543 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.543 * [taylor]: Taking taylor expansion of 0.5 in x 2.543 * [backup-simplify]: Simplify 0.5 into 0.5 2.543 * [taylor]: Taking taylor expansion of (/ x y) in x 2.543 * [taylor]: Taking taylor expansion of x in x 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 1 into 1 2.543 * [taylor]: Taking taylor expansion of y in x 2.543 * [backup-simplify]: Simplify y into y 2.543 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.543 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.544 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 2.544 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 2.544 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.544 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.544 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.544 * [taylor]: Taking taylor expansion of 0.5 in x 2.544 * [backup-simplify]: Simplify 0.5 into 0.5 2.544 * [taylor]: Taking taylor expansion of (/ x y) in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify 1 into 1 2.544 * [taylor]: Taking taylor expansion of y in x 2.544 * [backup-simplify]: Simplify y into y 2.544 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.544 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.544 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.544 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.544 * [taylor]: Taking taylor expansion of 0.5 in x 2.544 * [backup-simplify]: Simplify 0.5 into 0.5 2.544 * [taylor]: Taking taylor expansion of (/ x y) in x 2.544 * [taylor]: Taking taylor expansion of x in x 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify 1 into 1 2.544 * [taylor]: Taking taylor expansion of y in x 2.544 * [backup-simplify]: Simplify y into y 2.544 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.544 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.545 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 2.545 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 2.545 * [taylor]: Taking taylor expansion of 0.5 in y 2.545 * [backup-simplify]: Simplify 0.5 into 0.5 2.545 * [taylor]: Taking taylor expansion of y in y 2.545 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify 1 into 1 2.545 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.545 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.546 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.546 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.547 * [backup-simplify]: Simplify (+ 0) into 0 2.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 2.547 * [taylor]: Taking taylor expansion of 0 in y 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.549 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 2.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 2.551 * [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))) 2.551 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 2.551 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 2.551 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 2.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.551 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.551 * [taylor]: Taking taylor expansion of y in y 2.551 * [backup-simplify]: Simplify 0 into 0 2.551 * [backup-simplify]: Simplify 1 into 1 2.552 * [backup-simplify]: Simplify (* 1 1) into 1 2.552 * [backup-simplify]: Simplify (* 1 1) into 1 2.552 * [backup-simplify]: Simplify (/ 1 1) into 1 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.559 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.559 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 2.560 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.560 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.561 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.561 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.561 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.561 * [taylor]: Taking taylor expansion of 0.5 in y 2.561 * [backup-simplify]: Simplify 0.5 into 0.5 2.561 * [taylor]: Taking taylor expansion of (/ y x) in y 2.561 * [taylor]: Taking taylor expansion of y in y 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [taylor]: Taking taylor expansion of x in y 2.561 * [backup-simplify]: Simplify x into x 2.561 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.561 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.561 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.561 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.561 * [taylor]: Taking taylor expansion of 0.5 in y 2.561 * [backup-simplify]: Simplify 0.5 into 0.5 2.561 * [taylor]: Taking taylor expansion of (/ y x) in y 2.561 * [taylor]: Taking taylor expansion of y in y 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [taylor]: Taking taylor expansion of x in y 2.561 * [backup-simplify]: Simplify x into x 2.561 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.561 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.561 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.562 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.562 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.562 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.562 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.562 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.562 * [taylor]: Taking taylor expansion of 0.5 in x 2.562 * [backup-simplify]: Simplify 0.5 into 0.5 2.562 * [taylor]: Taking taylor expansion of (/ y x) in x 2.562 * [taylor]: Taking taylor expansion of y in x 2.562 * [backup-simplify]: Simplify y into y 2.562 * [taylor]: Taking taylor expansion of x in x 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify 1 into 1 2.562 * [backup-simplify]: Simplify (/ y 1) into y 2.562 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.562 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.562 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.562 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.562 * [taylor]: Taking taylor expansion of 0.5 in x 2.562 * [backup-simplify]: Simplify 0.5 into 0.5 2.562 * [taylor]: Taking taylor expansion of (/ y x) in x 2.562 * [taylor]: Taking taylor expansion of y in x 2.562 * [backup-simplify]: Simplify y into y 2.562 * [taylor]: Taking taylor expansion of x in x 2.562 * [backup-simplify]: Simplify 0 into 0 2.562 * [backup-simplify]: Simplify 1 into 1 2.562 * [backup-simplify]: Simplify (/ y 1) into y 2.562 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.563 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.563 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.563 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.563 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.563 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.563 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.563 * [taylor]: Taking taylor expansion of 0.5 in x 2.563 * [backup-simplify]: Simplify 0.5 into 0.5 2.563 * [taylor]: Taking taylor expansion of (/ y x) in x 2.563 * [taylor]: Taking taylor expansion of y in x 2.563 * [backup-simplify]: Simplify y into y 2.563 * [taylor]: Taking taylor expansion of x in x 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify 1 into 1 2.563 * [backup-simplify]: Simplify (/ y 1) into y 2.563 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.563 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.563 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.563 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.563 * [taylor]: Taking taylor expansion of 0.5 in x 2.563 * [backup-simplify]: Simplify 0.5 into 0.5 2.563 * [taylor]: Taking taylor expansion of (/ y x) in x 2.563 * [taylor]: Taking taylor expansion of y in x 2.563 * [backup-simplify]: Simplify y into y 2.563 * [taylor]: Taking taylor expansion of x in x 2.563 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 1 into 1 2.564 * [backup-simplify]: Simplify (/ y 1) into y 2.564 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.564 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.564 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.564 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.564 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.564 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.564 * [taylor]: Taking taylor expansion of 0.5 in y 2.564 * [backup-simplify]: Simplify 0.5 into 0.5 2.564 * [taylor]: Taking taylor expansion of (/ y x) in y 2.564 * [taylor]: Taking taylor expansion of y in y 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 1 into 1 2.564 * [taylor]: Taking taylor expansion of x in y 2.564 * [backup-simplify]: Simplify x into x 2.564 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.564 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.564 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.564 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.564 * [taylor]: Taking taylor expansion of 0.5 in y 2.565 * [backup-simplify]: Simplify 0.5 into 0.5 2.565 * [taylor]: Taking taylor expansion of (/ y x) in y 2.565 * [taylor]: Taking taylor expansion of y in y 2.565 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify 1 into 1 2.565 * [taylor]: Taking taylor expansion of x in y 2.565 * [backup-simplify]: Simplify x into x 2.565 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.565 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.565 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.565 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.565 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.566 * [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 2.566 * [taylor]: Taking taylor expansion of 0 in y 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.566 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.566 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.567 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.567 * [backup-simplify]: Simplify (+ 0) into 0 2.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.568 * [backup-simplify]: Simplify 0 into 0 2.569 * [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 2.569 * [taylor]: Taking taylor expansion of 0 in y 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.570 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.571 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.571 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.572 * [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))) 2.572 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.573 * [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 2.573 * [taylor]: Taking taylor expansion of 0 in y 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify 0 into 0 2.573 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.574 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.575 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.576 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.576 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.577 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.578 * [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 2.578 * [backup-simplify]: Simplify 0 into 0 2.579 * [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 2.579 * [taylor]: Taking taylor expansion of 0 in y 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 0 into 0 2.580 * [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))) 2.580 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 2.580 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.580 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.580 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.580 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.580 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.580 * [taylor]: Taking taylor expansion of 0.5 in y 2.581 * [backup-simplify]: Simplify 0.5 into 0.5 2.581 * [taylor]: Taking taylor expansion of (/ y x) in y 2.581 * [taylor]: Taking taylor expansion of y in y 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.581 * [taylor]: Taking taylor expansion of x in y 2.581 * [backup-simplify]: Simplify x into x 2.581 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.581 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.581 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.581 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.581 * [taylor]: Taking taylor expansion of 0.5 in y 2.581 * [backup-simplify]: Simplify 0.5 into 0.5 2.581 * [taylor]: Taking taylor expansion of (/ y x) in y 2.581 * [taylor]: Taking taylor expansion of y in y 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.581 * [taylor]: Taking taylor expansion of x in y 2.581 * [backup-simplify]: Simplify x into x 2.581 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.581 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.581 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.581 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.582 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.582 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.582 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.582 * [taylor]: Taking taylor expansion of 0.5 in x 2.582 * [backup-simplify]: Simplify 0.5 into 0.5 2.582 * [taylor]: Taking taylor expansion of (/ y x) in x 2.582 * [taylor]: Taking taylor expansion of y in x 2.582 * [backup-simplify]: Simplify y into y 2.582 * [taylor]: Taking taylor expansion of x in x 2.582 * [backup-simplify]: Simplify 0 into 0 2.582 * [backup-simplify]: Simplify 1 into 1 2.582 * [backup-simplify]: Simplify (/ y 1) into y 2.582 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.582 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.582 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.582 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.582 * [taylor]: Taking taylor expansion of 0.5 in x 2.582 * [backup-simplify]: Simplify 0.5 into 0.5 2.582 * [taylor]: Taking taylor expansion of (/ y x) in x 2.583 * [taylor]: Taking taylor expansion of y in x 2.583 * [backup-simplify]: Simplify y into y 2.583 * [taylor]: Taking taylor expansion of x in x 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 1 into 1 2.583 * [backup-simplify]: Simplify (/ y 1) into y 2.583 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.583 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.583 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.583 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.583 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.583 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.583 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.583 * [taylor]: Taking taylor expansion of 0.5 in x 2.583 * [backup-simplify]: Simplify 0.5 into 0.5 2.583 * [taylor]: Taking taylor expansion of (/ y x) in x 2.583 * [taylor]: Taking taylor expansion of y in x 2.583 * [backup-simplify]: Simplify y into y 2.583 * [taylor]: Taking taylor expansion of x in x 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 1 into 1 2.583 * [backup-simplify]: Simplify (/ y 1) into y 2.584 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.584 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.584 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.584 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.584 * [taylor]: Taking taylor expansion of 0.5 in x 2.584 * [backup-simplify]: Simplify 0.5 into 0.5 2.584 * [taylor]: Taking taylor expansion of (/ y x) in x 2.584 * [taylor]: Taking taylor expansion of y in x 2.584 * [backup-simplify]: Simplify y into y 2.584 * [taylor]: Taking taylor expansion of x in x 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 1 into 1 2.584 * [backup-simplify]: Simplify (/ y 1) into y 2.584 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.584 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.584 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.584 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.584 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.584 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.584 * [taylor]: Taking taylor expansion of 0.5 in y 2.584 * [backup-simplify]: Simplify 0.5 into 0.5 2.585 * [taylor]: Taking taylor expansion of (/ y x) in y 2.585 * [taylor]: Taking taylor expansion of y in y 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [taylor]: Taking taylor expansion of x in y 2.585 * [backup-simplify]: Simplify x into x 2.585 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.585 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.585 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.585 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.585 * [taylor]: Taking taylor expansion of 0.5 in y 2.585 * [backup-simplify]: Simplify 0.5 into 0.5 2.585 * [taylor]: Taking taylor expansion of (/ y x) in y 2.585 * [taylor]: Taking taylor expansion of y in y 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [taylor]: Taking taylor expansion of x in y 2.585 * [backup-simplify]: Simplify x into x 2.585 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.585 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.585 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.585 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.586 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.586 * [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 2.586 * [taylor]: Taking taylor expansion of 0 in y 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.587 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.588 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.588 * [backup-simplify]: Simplify (+ 0) into 0 2.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [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 2.589 * [taylor]: Taking taylor expansion of 0 in y 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.590 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.591 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.592 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.592 * [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))) 2.593 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.593 * [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 2.593 * [taylor]: Taking taylor expansion of 0 in y 2.593 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.595 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.596 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.596 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.597 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.598 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.599 * [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 2.599 * [backup-simplify]: Simplify 0 into 0 2.600 * [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))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 2.600 * [taylor]: Taking taylor expansion of 0 in y 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.601 * [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))) 2.601 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 2.601 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 2.601 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 2.601 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 2.601 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.601 * [taylor]: Taking taylor expansion of 0.5 in y 2.601 * [backup-simplify]: Simplify 0.5 into 0.5 2.601 * [taylor]: Taking taylor expansion of (/ x y) in y 2.601 * [taylor]: Taking taylor expansion of x in y 2.601 * [backup-simplify]: Simplify x into x 2.601 * [taylor]: Taking taylor expansion of y in y 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (/ x 1) into x 2.601 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.602 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 2.602 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.602 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.602 * [taylor]: Taking taylor expansion of 0.5 in x 2.602 * [backup-simplify]: Simplify 0.5 into 0.5 2.602 * [taylor]: Taking taylor expansion of (/ x y) in x 2.602 * [taylor]: Taking taylor expansion of x in x 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.602 * [taylor]: Taking taylor expansion of y in x 2.602 * [backup-simplify]: Simplify y into y 2.602 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.602 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.602 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.602 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.602 * [taylor]: Taking taylor expansion of 0.5 in x 2.602 * [backup-simplify]: Simplify 0.5 into 0.5 2.602 * [taylor]: Taking taylor expansion of (/ x y) in x 2.602 * [taylor]: Taking taylor expansion of x in x 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.602 * [taylor]: Taking taylor expansion of y in x 2.602 * [backup-simplify]: Simplify y into y 2.602 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.602 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.602 * [taylor]: Taking taylor expansion of 0 in y 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.603 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 2.603 * [taylor]: Taking taylor expansion of 0.5 in y 2.603 * [backup-simplify]: Simplify 0.5 into 0.5 2.603 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.603 * [taylor]: Taking taylor expansion of y in y 2.603 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify 1 into 1 2.603 * [backup-simplify]: Simplify (/ 1 1) into 1 2.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.604 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.604 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.605 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.606 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.606 * [taylor]: Taking taylor expansion of 0 in y 2.606 * [backup-simplify]: Simplify 0 into 0 2.606 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.607 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 2.608 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 2.608 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.608 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.608 * [taylor]: Taking taylor expansion of 0.5 in y 2.608 * [backup-simplify]: Simplify 0.5 into 0.5 2.608 * [taylor]: Taking taylor expansion of (/ y x) in y 2.608 * [taylor]: Taking taylor expansion of y in y 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.608 * [taylor]: Taking taylor expansion of x in y 2.608 * [backup-simplify]: Simplify x into x 2.608 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.608 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.608 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.608 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.608 * [taylor]: Taking taylor expansion of 0.5 in x 2.608 * [backup-simplify]: Simplify 0.5 into 0.5 2.608 * [taylor]: Taking taylor expansion of (/ y x) in x 2.608 * [taylor]: Taking taylor expansion of y in x 2.608 * [backup-simplify]: Simplify y into y 2.608 * [taylor]: Taking taylor expansion of x in x 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.608 * [backup-simplify]: Simplify (/ y 1) into y 2.609 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.609 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.609 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.609 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.609 * [taylor]: Taking taylor expansion of 0.5 in x 2.609 * [backup-simplify]: Simplify 0.5 into 0.5 2.609 * [taylor]: Taking taylor expansion of (/ y x) in x 2.609 * [taylor]: Taking taylor expansion of y in x 2.609 * [backup-simplify]: Simplify y into y 2.609 * [taylor]: Taking taylor expansion of x in x 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify (/ y 1) into y 2.609 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.609 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.609 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.609 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.609 * [taylor]: Taking taylor expansion of 0.5 in y 2.609 * [backup-simplify]: Simplify 0.5 into 0.5 2.609 * [taylor]: Taking taylor expansion of (/ y x) in y 2.609 * [taylor]: Taking taylor expansion of y in y 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [taylor]: Taking taylor expansion of x in y 2.609 * [backup-simplify]: Simplify x into x 2.609 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.610 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [taylor]: Taking taylor expansion of 0 in y 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.610 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.610 * [taylor]: Taking taylor expansion of 0 in y 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.614 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [taylor]: Taking taylor expansion of 0 in y 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 0 into 0 2.615 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 2.616 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 2.616 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 2.616 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.616 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.616 * [taylor]: Taking taylor expansion of 0.5 in y 2.616 * [backup-simplify]: Simplify 0.5 into 0.5 2.616 * [taylor]: Taking taylor expansion of (/ y x) in y 2.616 * [taylor]: Taking taylor expansion of y in y 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify 1 into 1 2.616 * [taylor]: Taking taylor expansion of x in y 2.616 * [backup-simplify]: Simplify x into x 2.616 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.616 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.616 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.616 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.616 * [taylor]: Taking taylor expansion of 0.5 in x 2.616 * [backup-simplify]: Simplify 0.5 into 0.5 2.616 * [taylor]: Taking taylor expansion of (/ y x) in x 2.616 * [taylor]: Taking taylor expansion of y in x 2.616 * [backup-simplify]: Simplify y into y 2.616 * [taylor]: Taking taylor expansion of x in x 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify 1 into 1 2.617 * [backup-simplify]: Simplify (/ y 1) into y 2.617 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.617 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.617 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.617 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.617 * [taylor]: Taking taylor expansion of 0.5 in x 2.617 * [backup-simplify]: Simplify 0.5 into 0.5 2.617 * [taylor]: Taking taylor expansion of (/ y x) in x 2.617 * [taylor]: Taking taylor expansion of y in x 2.617 * [backup-simplify]: Simplify y into y 2.617 * [taylor]: Taking taylor expansion of x in x 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 1 into 1 2.617 * [backup-simplify]: Simplify (/ y 1) into y 2.617 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.617 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.617 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.617 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.617 * [taylor]: Taking taylor expansion of 0.5 in y 2.617 * [backup-simplify]: Simplify 0.5 into 0.5 2.617 * [taylor]: Taking taylor expansion of (/ y x) in y 2.617 * [taylor]: Taking taylor expansion of y in y 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 1 into 1 2.617 * [taylor]: Taking taylor expansion of x in y 2.617 * [backup-simplify]: Simplify x into x 2.618 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.618 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [taylor]: Taking taylor expansion of 0 in y 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.618 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.618 * [taylor]: Taking taylor expansion of 0 in y 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.619 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.620 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [taylor]: Taking taylor expansion of 0 in y 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 2.620 * * * [progress]: simplifying candidates 2.621 * [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)) 2.622 * * [simplify]: Extracting # 0 : cost 0 2.622 * * [simplify]: Extracting # 1 : cost 0 2.622 * * [simplify]: Extracting # 2 : cost 0 2.622 * * [simplify]: Extracting # 3 : cost 0 2.622 * * [simplify]: Extracting # 4 : cost 0 2.622 * * [simplify]: Extracting # 5 : cost 0 2.622 * * [simplify]: Extracting # 6 : cost 0 2.622 * * [simplify]: Extracting # 7 : cost 0 2.622 * * [simplify]: iteration 0 : 33 enodes (cost 420 ) 2.631 * * [simplify]: Extracting # 0 : cost 0 2.631 * * [simplify]: Extracting # 1 : cost 0 2.631 * * [simplify]: Extracting # 2 : cost 0 2.631 * * [simplify]: Extracting # 3 : cost 0 2.631 * * [simplify]: iteration 1 : 57 enodes (cost 420 ) 2.648 * * [simplify]: Extracting # 0 : cost 0 2.648 * * [simplify]: Extracting # 1 : cost 0 2.649 * * [simplify]: Extracting # 2 : cost 0 2.649 * * [simplify]: Extracting # 3 : cost 0 2.649 * * [simplify]: Extracting # 4 : cost 0 2.649 * * [simplify]: iteration 2 : 125 enodes (cost 372 ) 2.690 * * [simplify]: Extracting # 0 : cost 0 2.691 * * [simplify]: Extracting # 1 : cost 0 2.691 * * [simplify]: Extracting # 2 : cost 0 2.692 * * [simplify]: Extracting # 3 : cost 0 2.693 * * [simplify]: Extracting # 4 : cost 0 2.693 * * [simplify]: iteration 3 : 421 enodes (cost 372 ) 3.076 * * [simplify]: Extracting # 0 : cost 0 3.080 * * [simplify]: Extracting # 1 : cost 0 3.082 * * [simplify]: Extracting # 2 : cost 0 3.087 * * [simplify]: Extracting # 3 : cost 0 3.089 * * [simplify]: Extracting # 4 : cost 0 3.091 * * [simplify]: iteration 4 : 1827 enodes (cost 360 ) 3.943 * * [simplify]: Extracting # 0 : cost 0 3.952 * * [simplify]: Extracting # 1 : cost 0 3.959 * * [simplify]: Extracting # 2 : cost 0 3.965 * * [simplify]: Extracting # 3 : cost 0 3.970 * * [simplify]: iteration done: 5001 enodes (cost 360 ) 3.971 * [simplify]: Simplified to: (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)))) (pow (tan (/ x (* y 2.0))) 3) (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)))) (pow (tan (/ x (* y 2.0))) 3) (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)))) (pow (tan (/ x (* y 2.0))) 3) (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)))) (pow (sin (/ x (* y 2.0))) 3) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 3.971 * * * [progress]: adding candidates to table 4.167 * * [progress]: iteration 4 / 4 4.167 * * * [progress]: picking best candidate 4.211 * * * * [pick]: Picked # 4.211 * * * [progress]: localizing error 4.240 * * * [progress]: generating rewritten candidates 4.240 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.244 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 4.247 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 4.251 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 4.256 * * * [progress]: generating series expansions 4.256 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.256 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 4.257 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 4.257 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 4.257 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.257 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.257 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.257 * [taylor]: Taking taylor expansion of 0.5 in y 4.257 * [backup-simplify]: Simplify 0.5 into 0.5 4.257 * [taylor]: Taking taylor expansion of (/ x y) in y 4.257 * [taylor]: Taking taylor expansion of x in y 4.257 * [backup-simplify]: Simplify x into x 4.257 * [taylor]: Taking taylor expansion of y in y 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify 1 into 1 4.257 * [backup-simplify]: Simplify (/ x 1) into x 4.257 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.257 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.257 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 4.257 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.257 * [taylor]: Taking taylor expansion of 0.5 in y 4.257 * [backup-simplify]: Simplify 0.5 into 0.5 4.257 * [taylor]: Taking taylor expansion of (/ x y) in y 4.257 * [taylor]: Taking taylor expansion of x in y 4.257 * [backup-simplify]: Simplify x into x 4.257 * [taylor]: Taking taylor expansion of y in y 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify 1 into 1 4.257 * [backup-simplify]: Simplify (/ x 1) into x 4.257 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.257 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 4.257 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.257 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.257 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.257 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.257 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.257 * [taylor]: Taking taylor expansion of 0.5 in x 4.258 * [backup-simplify]: Simplify 0.5 into 0.5 4.258 * [taylor]: Taking taylor expansion of (/ x y) in x 4.258 * [taylor]: Taking taylor expansion of x in x 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.258 * [taylor]: Taking taylor expansion of y in x 4.258 * [backup-simplify]: Simplify y into y 4.258 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.258 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.258 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.258 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.258 * [taylor]: Taking taylor expansion of 0.5 in x 4.258 * [backup-simplify]: Simplify 0.5 into 0.5 4.258 * [taylor]: Taking taylor expansion of (/ x y) in x 4.258 * [taylor]: Taking taylor expansion of x in x 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.258 * [taylor]: Taking taylor expansion of y in x 4.258 * [backup-simplify]: Simplify y into y 4.258 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.258 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.258 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.258 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.258 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.258 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.258 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.258 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.258 * [taylor]: Taking taylor expansion of 0.5 in x 4.258 * [backup-simplify]: Simplify 0.5 into 0.5 4.258 * [taylor]: Taking taylor expansion of (/ x y) in x 4.258 * [taylor]: Taking taylor expansion of x in x 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 1 into 1 4.258 * [taylor]: Taking taylor expansion of y in x 4.258 * [backup-simplify]: Simplify y into y 4.258 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.258 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.259 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.259 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.259 * [taylor]: Taking taylor expansion of 0.5 in x 4.259 * [backup-simplify]: Simplify 0.5 into 0.5 4.259 * [taylor]: Taking taylor expansion of (/ x y) in x 4.259 * [taylor]: Taking taylor expansion of x in x 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.259 * [taylor]: Taking taylor expansion of y in x 4.259 * [backup-simplify]: Simplify y into y 4.259 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.259 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.259 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.259 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 4.259 * [taylor]: Taking taylor expansion of 0.5 in y 4.259 * [backup-simplify]: Simplify 0.5 into 0.5 4.259 * [taylor]: Taking taylor expansion of y in y 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.260 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 4.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.261 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.261 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.261 * [backup-simplify]: Simplify (+ 0) into 0 4.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 4.262 * [taylor]: Taking taylor expansion of 0 in y 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.263 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 4.264 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 4.265 * [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))) 4.265 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 4.265 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 4.265 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 4.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.265 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.265 * [taylor]: Taking taylor expansion of y in y 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [backup-simplify]: Simplify (* 1 1) into 1 4.265 * [backup-simplify]: Simplify (* 1 1) into 1 4.265 * [backup-simplify]: Simplify (/ 1 1) into 1 4.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.270 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 4.271 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.271 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.271 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.271 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.271 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.271 * [taylor]: Taking taylor expansion of 0.5 in y 4.271 * [backup-simplify]: Simplify 0.5 into 0.5 4.271 * [taylor]: Taking taylor expansion of (/ y x) in y 4.271 * [taylor]: Taking taylor expansion of y in y 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.271 * [taylor]: Taking taylor expansion of x in y 4.271 * [backup-simplify]: Simplify x into x 4.271 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.272 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.272 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.272 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.272 * [taylor]: Taking taylor expansion of 0.5 in y 4.272 * [backup-simplify]: Simplify 0.5 into 0.5 4.272 * [taylor]: Taking taylor expansion of (/ y x) in y 4.272 * [taylor]: Taking taylor expansion of y in y 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 1 into 1 4.272 * [taylor]: Taking taylor expansion of x in y 4.272 * [backup-simplify]: Simplify x into x 4.272 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.272 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.272 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.272 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.272 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.272 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.272 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.272 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.272 * [taylor]: Taking taylor expansion of 0.5 in x 4.272 * [backup-simplify]: Simplify 0.5 into 0.5 4.272 * [taylor]: Taking taylor expansion of (/ y x) in x 4.272 * [taylor]: Taking taylor expansion of y in x 4.272 * [backup-simplify]: Simplify y into y 4.272 * [taylor]: Taking taylor expansion of x in x 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (/ y 1) into y 4.272 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.272 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.272 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.272 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.272 * [taylor]: Taking taylor expansion of 0.5 in x 4.273 * [backup-simplify]: Simplify 0.5 into 0.5 4.273 * [taylor]: Taking taylor expansion of (/ y x) in x 4.273 * [taylor]: Taking taylor expansion of y in x 4.273 * [backup-simplify]: Simplify y into y 4.273 * [taylor]: Taking taylor expansion of x in x 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (/ y 1) into y 4.273 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.273 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.273 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.273 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.273 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.273 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.273 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.273 * [taylor]: Taking taylor expansion of 0.5 in x 4.273 * [backup-simplify]: Simplify 0.5 into 0.5 4.273 * [taylor]: Taking taylor expansion of (/ y x) in x 4.273 * [taylor]: Taking taylor expansion of y in x 4.273 * [backup-simplify]: Simplify y into y 4.273 * [taylor]: Taking taylor expansion of x in x 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (/ y 1) into y 4.273 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.273 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.273 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.273 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.273 * [taylor]: Taking taylor expansion of 0.5 in x 4.273 * [backup-simplify]: Simplify 0.5 into 0.5 4.273 * [taylor]: Taking taylor expansion of (/ y x) in x 4.273 * [taylor]: Taking taylor expansion of y in x 4.273 * [backup-simplify]: Simplify y into y 4.273 * [taylor]: Taking taylor expansion of x in x 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (/ y 1) into y 4.273 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.274 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.274 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.274 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.274 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.274 * [taylor]: Taking taylor expansion of 0.5 in y 4.274 * [backup-simplify]: Simplify 0.5 into 0.5 4.274 * [taylor]: Taking taylor expansion of (/ y x) in y 4.274 * [taylor]: Taking taylor expansion of y in y 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [taylor]: Taking taylor expansion of x in y 4.274 * [backup-simplify]: Simplify x into x 4.274 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.274 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.274 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.274 * [taylor]: Taking taylor expansion of 0.5 in y 4.274 * [backup-simplify]: Simplify 0.5 into 0.5 4.274 * [taylor]: Taking taylor expansion of (/ y x) in y 4.274 * [taylor]: Taking taylor expansion of y in y 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [taylor]: Taking taylor expansion of x in y 4.274 * [backup-simplify]: Simplify x into x 4.274 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.274 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.274 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.274 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.274 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.275 * [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 4.275 * [taylor]: Taking taylor expansion of 0 in y 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.275 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.276 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.276 * [backup-simplify]: Simplify (+ 0) into 0 4.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [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 4.277 * [taylor]: Taking taylor expansion of 0 in y 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.278 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.278 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.279 * [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))) 4.279 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.280 * [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 4.280 * [taylor]: Taking taylor expansion of 0 in y 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.283 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.283 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.284 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.285 * [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 4.285 * [backup-simplify]: Simplify 0 into 0 4.286 * [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 4.286 * [taylor]: Taking taylor expansion of 0 in y 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify 0 into 0 4.287 * [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))) 4.287 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 4.287 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.287 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.287 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.287 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.287 * [taylor]: Taking taylor expansion of 0.5 in y 4.287 * [backup-simplify]: Simplify 0.5 into 0.5 4.288 * [taylor]: Taking taylor expansion of (/ y x) in y 4.288 * [taylor]: Taking taylor expansion of y in y 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [taylor]: Taking taylor expansion of x in y 4.288 * [backup-simplify]: Simplify x into x 4.288 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.288 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.288 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.288 * [taylor]: Taking taylor expansion of 0.5 in y 4.288 * [backup-simplify]: Simplify 0.5 into 0.5 4.288 * [taylor]: Taking taylor expansion of (/ y x) in y 4.288 * [taylor]: Taking taylor expansion of y in y 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.288 * [taylor]: Taking taylor expansion of x in y 4.288 * [backup-simplify]: Simplify x into x 4.288 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.288 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.288 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.288 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.289 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.289 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.289 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.289 * [taylor]: Taking taylor expansion of 0.5 in x 4.289 * [backup-simplify]: Simplify 0.5 into 0.5 4.289 * [taylor]: Taking taylor expansion of (/ y x) in x 4.289 * [taylor]: Taking taylor expansion of y in x 4.289 * [backup-simplify]: Simplify y into y 4.289 * [taylor]: Taking taylor expansion of x in x 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [backup-simplify]: Simplify (/ y 1) into y 4.289 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.289 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.289 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.289 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.289 * [taylor]: Taking taylor expansion of 0.5 in x 4.289 * [backup-simplify]: Simplify 0.5 into 0.5 4.289 * [taylor]: Taking taylor expansion of (/ y x) in x 4.289 * [taylor]: Taking taylor expansion of y in x 4.289 * [backup-simplify]: Simplify y into y 4.289 * [taylor]: Taking taylor expansion of x in x 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [backup-simplify]: Simplify (/ y 1) into y 4.289 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.290 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.290 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.290 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.290 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.290 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.290 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.290 * [taylor]: Taking taylor expansion of 0.5 in x 4.290 * [backup-simplify]: Simplify 0.5 into 0.5 4.290 * [taylor]: Taking taylor expansion of (/ y x) in x 4.290 * [taylor]: Taking taylor expansion of y in x 4.290 * [backup-simplify]: Simplify y into y 4.290 * [taylor]: Taking taylor expansion of x in x 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 1 into 1 4.290 * [backup-simplify]: Simplify (/ y 1) into y 4.290 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.290 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.290 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.290 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.290 * [taylor]: Taking taylor expansion of 0.5 in x 4.290 * [backup-simplify]: Simplify 0.5 into 0.5 4.291 * [taylor]: Taking taylor expansion of (/ y x) in x 4.291 * [taylor]: Taking taylor expansion of y in x 4.291 * [backup-simplify]: Simplify y into y 4.291 * [taylor]: Taking taylor expansion of x in x 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (/ y 1) into y 4.291 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.291 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.291 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.291 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.291 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.291 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.291 * [taylor]: Taking taylor expansion of 0.5 in y 4.291 * [backup-simplify]: Simplify 0.5 into 0.5 4.291 * [taylor]: Taking taylor expansion of (/ y x) in y 4.291 * [taylor]: Taking taylor expansion of y in y 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [taylor]: Taking taylor expansion of x in y 4.291 * [backup-simplify]: Simplify x into x 4.291 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.291 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.291 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.292 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.292 * [taylor]: Taking taylor expansion of 0.5 in y 4.292 * [backup-simplify]: Simplify 0.5 into 0.5 4.292 * [taylor]: Taking taylor expansion of (/ y x) in y 4.292 * [taylor]: Taking taylor expansion of y in y 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [taylor]: Taking taylor expansion of x in y 4.292 * [backup-simplify]: Simplify x into x 4.292 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.292 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.292 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.292 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.292 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.293 * [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 4.293 * [taylor]: Taking taylor expansion of 0 in y 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.294 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.295 * [backup-simplify]: Simplify (+ 0) into 0 4.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.295 * [backup-simplify]: Simplify 0 into 0 4.296 * [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 4.296 * [taylor]: Taking taylor expansion of 0 in y 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.298 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.298 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.299 * [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))) 4.299 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.300 * [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 4.300 * [taylor]: Taking taylor expansion of 0 in y 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.301 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.303 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.303 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.303 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.304 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.306 * [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 4.306 * [backup-simplify]: Simplify 0 into 0 4.306 * [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 4.307 * [taylor]: Taking taylor expansion of 0 in y 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [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))) 4.307 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 4.307 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 4.307 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 4.307 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 4.308 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.308 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.308 * [taylor]: Taking taylor expansion of 0.5 in y 4.308 * [backup-simplify]: Simplify 0.5 into 0.5 4.308 * [taylor]: Taking taylor expansion of (/ x y) in y 4.308 * [taylor]: Taking taylor expansion of x in y 4.308 * [backup-simplify]: Simplify x into x 4.308 * [taylor]: Taking taylor expansion of y in y 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 1 into 1 4.308 * [backup-simplify]: Simplify (/ x 1) into x 4.308 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.308 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.308 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 4.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.308 * [taylor]: Taking taylor expansion of 0.5 in y 4.308 * [backup-simplify]: Simplify 0.5 into 0.5 4.308 * [taylor]: Taking taylor expansion of (/ x y) in y 4.308 * [taylor]: Taking taylor expansion of x in y 4.308 * [backup-simplify]: Simplify x into x 4.308 * [taylor]: Taking taylor expansion of y in y 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 1 into 1 4.308 * [backup-simplify]: Simplify (/ x 1) into x 4.308 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.308 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 4.309 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.309 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.309 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.309 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.309 * [taylor]: Taking taylor expansion of 0.5 in x 4.309 * [backup-simplify]: Simplify 0.5 into 0.5 4.309 * [taylor]: Taking taylor expansion of (/ x y) in x 4.309 * [taylor]: Taking taylor expansion of x in x 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 1 into 1 4.309 * [taylor]: Taking taylor expansion of y in x 4.309 * [backup-simplify]: Simplify y into y 4.309 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.309 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.309 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.309 * [taylor]: Taking taylor expansion of 0.5 in x 4.309 * [backup-simplify]: Simplify 0.5 into 0.5 4.309 * [taylor]: Taking taylor expansion of (/ x y) in x 4.309 * [taylor]: Taking taylor expansion of x in x 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 1 into 1 4.309 * [taylor]: Taking taylor expansion of y in x 4.309 * [backup-simplify]: Simplify y into y 4.310 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.310 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.310 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.310 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.310 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.310 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.310 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.310 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.310 * [taylor]: Taking taylor expansion of 0.5 in x 4.310 * [backup-simplify]: Simplify 0.5 into 0.5 4.310 * [taylor]: Taking taylor expansion of (/ x y) in x 4.310 * [taylor]: Taking taylor expansion of x in x 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.310 * [taylor]: Taking taylor expansion of y in x 4.310 * [backup-simplify]: Simplify y into y 4.310 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.310 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.310 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.311 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.311 * [taylor]: Taking taylor expansion of 0.5 in x 4.311 * [backup-simplify]: Simplify 0.5 into 0.5 4.311 * [taylor]: Taking taylor expansion of (/ x y) in x 4.311 * [taylor]: Taking taylor expansion of x in x 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.311 * [taylor]: Taking taylor expansion of y in x 4.311 * [backup-simplify]: Simplify y into y 4.311 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.311 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.311 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.311 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.311 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 4.311 * [taylor]: Taking taylor expansion of 0.5 in y 4.311 * [backup-simplify]: Simplify 0.5 into 0.5 4.311 * [taylor]: Taking taylor expansion of y in y 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.312 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 4.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.313 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.314 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.315 * [backup-simplify]: Simplify (+ 0) into 0 4.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 4.315 * [taylor]: Taking taylor expansion of 0 in y 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.317 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 4.319 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 4.320 * [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))) 4.320 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 4.320 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 4.320 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 4.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.320 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.320 * [taylor]: Taking taylor expansion of y in y 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify 1 into 1 4.320 * [backup-simplify]: Simplify (* 1 1) into 1 4.321 * [backup-simplify]: Simplify (* 1 1) into 1 4.321 * [backup-simplify]: Simplify (/ 1 1) into 1 4.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.329 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 4.330 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.330 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.330 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.330 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.330 * [taylor]: Taking taylor expansion of 0.5 in y 4.330 * [backup-simplify]: Simplify 0.5 into 0.5 4.330 * [taylor]: Taking taylor expansion of (/ y x) in y 4.330 * [taylor]: Taking taylor expansion of y in y 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify 1 into 1 4.330 * [taylor]: Taking taylor expansion of x in y 4.330 * [backup-simplify]: Simplify x into x 4.330 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.331 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.331 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.331 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.331 * [taylor]: Taking taylor expansion of 0.5 in y 4.331 * [backup-simplify]: Simplify 0.5 into 0.5 4.331 * [taylor]: Taking taylor expansion of (/ y x) in y 4.331 * [taylor]: Taking taylor expansion of y in y 4.331 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify 1 into 1 4.331 * [taylor]: Taking taylor expansion of x in y 4.331 * [backup-simplify]: Simplify x into x 4.331 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.331 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.331 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.331 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.331 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.331 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.332 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.332 * [taylor]: Taking taylor expansion of 0.5 in x 4.332 * [backup-simplify]: Simplify 0.5 into 0.5 4.332 * [taylor]: Taking taylor expansion of (/ y x) in x 4.332 * [taylor]: Taking taylor expansion of y in x 4.332 * [backup-simplify]: Simplify y into y 4.332 * [taylor]: Taking taylor expansion of x in x 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (/ y 1) into y 4.332 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.332 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.332 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.332 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.332 * [taylor]: Taking taylor expansion of 0.5 in x 4.332 * [backup-simplify]: Simplify 0.5 into 0.5 4.332 * [taylor]: Taking taylor expansion of (/ y x) in x 4.332 * [taylor]: Taking taylor expansion of y in x 4.332 * [backup-simplify]: Simplify y into y 4.332 * [taylor]: Taking taylor expansion of x in x 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (/ y 1) into y 4.332 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.332 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.333 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.333 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.333 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.333 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.333 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.333 * [taylor]: Taking taylor expansion of 0.5 in x 4.333 * [backup-simplify]: Simplify 0.5 into 0.5 4.333 * [taylor]: Taking taylor expansion of (/ y x) in x 4.333 * [taylor]: Taking taylor expansion of y in x 4.333 * [backup-simplify]: Simplify y into y 4.333 * [taylor]: Taking taylor expansion of x in x 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 1 into 1 4.333 * [backup-simplify]: Simplify (/ y 1) into y 4.333 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.333 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.333 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.333 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.333 * [taylor]: Taking taylor expansion of 0.5 in x 4.333 * [backup-simplify]: Simplify 0.5 into 0.5 4.333 * [taylor]: Taking taylor expansion of (/ y x) in x 4.333 * [taylor]: Taking taylor expansion of y in x 4.333 * [backup-simplify]: Simplify y into y 4.333 * [taylor]: Taking taylor expansion of x in x 4.333 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [backup-simplify]: Simplify (/ y 1) into y 4.334 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.334 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.334 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.334 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.334 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.334 * [taylor]: Taking taylor expansion of 0.5 in y 4.334 * [backup-simplify]: Simplify 0.5 into 0.5 4.334 * [taylor]: Taking taylor expansion of (/ y x) in y 4.334 * [taylor]: Taking taylor expansion of y in y 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [taylor]: Taking taylor expansion of x in y 4.334 * [backup-simplify]: Simplify x into x 4.334 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.334 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.334 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.335 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.335 * [taylor]: Taking taylor expansion of 0.5 in y 4.335 * [backup-simplify]: Simplify 0.5 into 0.5 4.335 * [taylor]: Taking taylor expansion of (/ y x) in y 4.335 * [taylor]: Taking taylor expansion of y in y 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 1 into 1 4.335 * [taylor]: Taking taylor expansion of x in y 4.335 * [backup-simplify]: Simplify x into x 4.335 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.335 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.335 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.335 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.336 * [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 4.336 * [taylor]: Taking taylor expansion of 0 in y 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.337 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.337 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.338 * [backup-simplify]: Simplify (+ 0) into 0 4.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.338 * [backup-simplify]: Simplify 0 into 0 4.339 * [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 4.339 * [taylor]: Taking taylor expansion of 0 in y 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.340 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.341 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.341 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.342 * [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))) 4.342 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.343 * [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 4.343 * [taylor]: Taking taylor expansion of 0 in y 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.345 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.349 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.350 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.351 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.353 * [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 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [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 4.353 * [taylor]: Taking taylor expansion of 0 in y 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [backup-simplify]: Simplify 0 into 0 4.354 * [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))) 4.354 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 4.354 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.354 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.355 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.355 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.355 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.355 * [taylor]: Taking taylor expansion of 0.5 in y 4.355 * [backup-simplify]: Simplify 0.5 into 0.5 4.355 * [taylor]: Taking taylor expansion of (/ y x) in y 4.355 * [taylor]: Taking taylor expansion of y in y 4.355 * [backup-simplify]: Simplify 0 into 0 4.355 * [backup-simplify]: Simplify 1 into 1 4.355 * [taylor]: Taking taylor expansion of x in y 4.355 * [backup-simplify]: Simplify x into x 4.355 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.355 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.355 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.355 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.356 * [taylor]: Taking taylor expansion of 0.5 in y 4.356 * [backup-simplify]: Simplify 0.5 into 0.5 4.356 * [taylor]: Taking taylor expansion of (/ y x) in y 4.356 * [taylor]: Taking taylor expansion of y in y 4.356 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify 1 into 1 4.356 * [taylor]: Taking taylor expansion of x in y 4.356 * [backup-simplify]: Simplify x into x 4.356 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.356 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.356 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.356 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.356 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.356 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.356 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.356 * [taylor]: Taking taylor expansion of 0.5 in x 4.356 * [backup-simplify]: Simplify 0.5 into 0.5 4.356 * [taylor]: Taking taylor expansion of (/ y x) in x 4.356 * [taylor]: Taking taylor expansion of y in x 4.356 * [backup-simplify]: Simplify y into y 4.356 * [taylor]: Taking taylor expansion of x in x 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 1 into 1 4.357 * [backup-simplify]: Simplify (/ y 1) into y 4.357 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.357 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.357 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.357 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.357 * [taylor]: Taking taylor expansion of 0.5 in x 4.357 * [backup-simplify]: Simplify 0.5 into 0.5 4.357 * [taylor]: Taking taylor expansion of (/ y x) in x 4.357 * [taylor]: Taking taylor expansion of y in x 4.357 * [backup-simplify]: Simplify y into y 4.357 * [taylor]: Taking taylor expansion of x in x 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 1 into 1 4.357 * [backup-simplify]: Simplify (/ y 1) into y 4.357 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.357 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.357 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.357 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.358 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.358 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.358 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.358 * [taylor]: Taking taylor expansion of 0.5 in x 4.358 * [backup-simplify]: Simplify 0.5 into 0.5 4.358 * [taylor]: Taking taylor expansion of (/ y x) in x 4.358 * [taylor]: Taking taylor expansion of y in x 4.358 * [backup-simplify]: Simplify y into y 4.358 * [taylor]: Taking taylor expansion of x in x 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (/ y 1) into y 4.358 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.358 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.358 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.358 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.358 * [taylor]: Taking taylor expansion of 0.5 in x 4.358 * [backup-simplify]: Simplify 0.5 into 0.5 4.358 * [taylor]: Taking taylor expansion of (/ y x) in x 4.358 * [taylor]: Taking taylor expansion of y in x 4.358 * [backup-simplify]: Simplify y into y 4.358 * [taylor]: Taking taylor expansion of x in x 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify (/ y 1) into y 4.358 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.359 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.359 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.359 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.359 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.359 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.359 * [taylor]: Taking taylor expansion of 0.5 in y 4.359 * [backup-simplify]: Simplify 0.5 into 0.5 4.359 * [taylor]: Taking taylor expansion of (/ y x) in y 4.359 * [taylor]: Taking taylor expansion of y in y 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 1 into 1 4.359 * [taylor]: Taking taylor expansion of x in y 4.359 * [backup-simplify]: Simplify x into x 4.359 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.359 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.359 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.359 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.359 * [taylor]: Taking taylor expansion of 0.5 in y 4.359 * [backup-simplify]: Simplify 0.5 into 0.5 4.359 * [taylor]: Taking taylor expansion of (/ y x) in y 4.359 * [taylor]: Taking taylor expansion of y in y 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 1 into 1 4.359 * [taylor]: Taking taylor expansion of x in y 4.360 * [backup-simplify]: Simplify x into x 4.360 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.360 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.360 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.360 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.360 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.360 * [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 4.361 * [taylor]: Taking taylor expansion of 0 in y 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.361 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.362 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.362 * [backup-simplify]: Simplify (+ 0) into 0 4.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.363 * [backup-simplify]: Simplify 0 into 0 4.364 * [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 4.364 * [taylor]: Taking taylor expansion of 0 in y 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.365 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.366 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.367 * [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))) 4.367 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.368 * [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 4.368 * [taylor]: Taking taylor expansion of 0 in y 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.369 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.371 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.371 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.371 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.372 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.374 * [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 4.374 * [backup-simplify]: Simplify 0 into 0 4.374 * [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 4.375 * [taylor]: Taking taylor expansion of 0 in y 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [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))) 4.375 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 4.376 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 4.376 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 4.376 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 4.376 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.376 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.376 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.376 * [taylor]: Taking taylor expansion of 0.5 in y 4.376 * [backup-simplify]: Simplify 0.5 into 0.5 4.376 * [taylor]: Taking taylor expansion of (/ x y) in y 4.376 * [taylor]: Taking taylor expansion of x in y 4.376 * [backup-simplify]: Simplify x into x 4.376 * [taylor]: Taking taylor expansion of y in y 4.376 * [backup-simplify]: Simplify 0 into 0 4.376 * [backup-simplify]: Simplify 1 into 1 4.376 * [backup-simplify]: Simplify (/ x 1) into x 4.376 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.376 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.376 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 4.376 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.376 * [taylor]: Taking taylor expansion of 0.5 in y 4.376 * [backup-simplify]: Simplify 0.5 into 0.5 4.376 * [taylor]: Taking taylor expansion of (/ x y) in y 4.376 * [taylor]: Taking taylor expansion of x in y 4.376 * [backup-simplify]: Simplify x into x 4.376 * [taylor]: Taking taylor expansion of y in y 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 1 into 1 4.377 * [backup-simplify]: Simplify (/ x 1) into x 4.377 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.377 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 4.377 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.377 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.377 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.377 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.377 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.377 * [taylor]: Taking taylor expansion of 0.5 in x 4.377 * [backup-simplify]: Simplify 0.5 into 0.5 4.377 * [taylor]: Taking taylor expansion of (/ x y) in x 4.377 * [taylor]: Taking taylor expansion of x in x 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify 1 into 1 4.377 * [taylor]: Taking taylor expansion of y in x 4.377 * [backup-simplify]: Simplify y into y 4.377 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.377 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.378 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.378 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.378 * [taylor]: Taking taylor expansion of 0.5 in x 4.378 * [backup-simplify]: Simplify 0.5 into 0.5 4.378 * [taylor]: Taking taylor expansion of (/ x y) in x 4.378 * [taylor]: Taking taylor expansion of x in x 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 1 into 1 4.378 * [taylor]: Taking taylor expansion of y in x 4.378 * [backup-simplify]: Simplify y into y 4.378 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.378 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.378 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.378 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.378 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.378 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.378 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.378 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.378 * [taylor]: Taking taylor expansion of 0.5 in x 4.378 * [backup-simplify]: Simplify 0.5 into 0.5 4.378 * [taylor]: Taking taylor expansion of (/ x y) in x 4.378 * [taylor]: Taking taylor expansion of x in x 4.378 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 1 into 1 4.379 * [taylor]: Taking taylor expansion of y in x 4.379 * [backup-simplify]: Simplify y into y 4.379 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.379 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.379 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.379 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.379 * [taylor]: Taking taylor expansion of 0.5 in x 4.379 * [backup-simplify]: Simplify 0.5 into 0.5 4.379 * [taylor]: Taking taylor expansion of (/ x y) in x 4.379 * [taylor]: Taking taylor expansion of x in x 4.379 * [backup-simplify]: Simplify 0 into 0 4.379 * [backup-simplify]: Simplify 1 into 1 4.379 * [taylor]: Taking taylor expansion of y in x 4.379 * [backup-simplify]: Simplify y into y 4.379 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.379 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.379 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.379 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.379 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 4.379 * [taylor]: Taking taylor expansion of 0.5 in y 4.380 * [backup-simplify]: Simplify 0.5 into 0.5 4.380 * [taylor]: Taking taylor expansion of y in y 4.380 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify 1 into 1 4.380 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 4.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.382 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.382 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.383 * [backup-simplify]: Simplify (+ 0) into 0 4.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 4.383 * [taylor]: Taking taylor expansion of 0 in y 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.384 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.385 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.386 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 4.387 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 4.388 * [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))) 4.388 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 4.388 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 4.388 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 4.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.388 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.388 * [taylor]: Taking taylor expansion of y in y 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 1 into 1 4.388 * [backup-simplify]: Simplify (* 1 1) into 1 4.389 * [backup-simplify]: Simplify (* 1 1) into 1 4.389 * [backup-simplify]: Simplify (/ 1 1) into 1 4.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.396 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.397 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 4.398 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.398 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.398 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.398 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.398 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.398 * [taylor]: Taking taylor expansion of 0.5 in y 4.398 * [backup-simplify]: Simplify 0.5 into 0.5 4.398 * [taylor]: Taking taylor expansion of (/ y x) in y 4.398 * [taylor]: Taking taylor expansion of y in y 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 1 into 1 4.398 * [taylor]: Taking taylor expansion of x in y 4.398 * [backup-simplify]: Simplify x into x 4.398 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.398 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.398 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.398 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.398 * [taylor]: Taking taylor expansion of 0.5 in y 4.398 * [backup-simplify]: Simplify 0.5 into 0.5 4.398 * [taylor]: Taking taylor expansion of (/ y x) in y 4.399 * [taylor]: Taking taylor expansion of y in y 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify 1 into 1 4.399 * [taylor]: Taking taylor expansion of x in y 4.399 * [backup-simplify]: Simplify x into x 4.399 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.399 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.399 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.399 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.399 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.399 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.399 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.399 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.399 * [taylor]: Taking taylor expansion of 0.5 in x 4.399 * [backup-simplify]: Simplify 0.5 into 0.5 4.399 * [taylor]: Taking taylor expansion of (/ y x) in x 4.399 * [taylor]: Taking taylor expansion of y in x 4.399 * [backup-simplify]: Simplify y into y 4.399 * [taylor]: Taking taylor expansion of x in x 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify 1 into 1 4.400 * [backup-simplify]: Simplify (/ y 1) into y 4.400 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.400 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.400 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.400 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.400 * [taylor]: Taking taylor expansion of 0.5 in x 4.400 * [backup-simplify]: Simplify 0.5 into 0.5 4.400 * [taylor]: Taking taylor expansion of (/ y x) in x 4.400 * [taylor]: Taking taylor expansion of y in x 4.400 * [backup-simplify]: Simplify y into y 4.400 * [taylor]: Taking taylor expansion of x in x 4.400 * [backup-simplify]: Simplify 0 into 0 4.400 * [backup-simplify]: Simplify 1 into 1 4.400 * [backup-simplify]: Simplify (/ y 1) into y 4.400 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.400 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.400 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.400 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.401 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.401 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.401 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.401 * [taylor]: Taking taylor expansion of 0.5 in x 4.401 * [backup-simplify]: Simplify 0.5 into 0.5 4.401 * [taylor]: Taking taylor expansion of (/ y x) in x 4.401 * [taylor]: Taking taylor expansion of y in x 4.401 * [backup-simplify]: Simplify y into y 4.401 * [taylor]: Taking taylor expansion of x in x 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (/ y 1) into y 4.401 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.401 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.401 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.401 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.401 * [taylor]: Taking taylor expansion of 0.5 in x 4.401 * [backup-simplify]: Simplify 0.5 into 0.5 4.401 * [taylor]: Taking taylor expansion of (/ y x) in x 4.401 * [taylor]: Taking taylor expansion of y in x 4.401 * [backup-simplify]: Simplify y into y 4.401 * [taylor]: Taking taylor expansion of x in x 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (/ y 1) into y 4.401 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.401 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.402 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.402 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.402 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.402 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.402 * [taylor]: Taking taylor expansion of 0.5 in y 4.402 * [backup-simplify]: Simplify 0.5 into 0.5 4.402 * [taylor]: Taking taylor expansion of (/ y x) in y 4.402 * [taylor]: Taking taylor expansion of y in y 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 1 into 1 4.402 * [taylor]: Taking taylor expansion of x in y 4.402 * [backup-simplify]: Simplify x into x 4.402 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.402 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.402 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.402 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.402 * [taylor]: Taking taylor expansion of 0.5 in y 4.402 * [backup-simplify]: Simplify 0.5 into 0.5 4.402 * [taylor]: Taking taylor expansion of (/ y x) in y 4.402 * [taylor]: Taking taylor expansion of y in y 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 1 into 1 4.402 * [taylor]: Taking taylor expansion of x in y 4.402 * [backup-simplify]: Simplify x into x 4.403 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.403 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.403 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.403 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.404 * [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 4.404 * [taylor]: Taking taylor expansion of 0 in y 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.404 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.405 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.406 * [backup-simplify]: Simplify (+ 0) into 0 4.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.407 * [backup-simplify]: Simplify 0 into 0 4.407 * [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 4.407 * [taylor]: Taking taylor expansion of 0 in y 4.407 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify 0 into 0 4.407 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.408 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.409 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.410 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.411 * [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))) 4.411 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.412 * [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 4.412 * [taylor]: Taking taylor expansion of 0 in y 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.414 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.415 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.415 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.416 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.416 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.418 * [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 4.418 * [backup-simplify]: Simplify 0 into 0 4.419 * [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 4.419 * [taylor]: Taking taylor expansion of 0 in y 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 0 into 0 4.420 * [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))) 4.420 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 4.420 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.420 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.420 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.420 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.420 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.420 * [taylor]: Taking taylor expansion of 0.5 in y 4.420 * [backup-simplify]: Simplify 0.5 into 0.5 4.420 * [taylor]: Taking taylor expansion of (/ y x) in y 4.420 * [taylor]: Taking taylor expansion of y in y 4.420 * [backup-simplify]: Simplify 0 into 0 4.420 * [backup-simplify]: Simplify 1 into 1 4.420 * [taylor]: Taking taylor expansion of x in y 4.420 * [backup-simplify]: Simplify x into x 4.420 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.420 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.421 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.421 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.421 * [taylor]: Taking taylor expansion of 0.5 in y 4.421 * [backup-simplify]: Simplify 0.5 into 0.5 4.421 * [taylor]: Taking taylor expansion of (/ y x) in y 4.421 * [taylor]: Taking taylor expansion of y in y 4.421 * [backup-simplify]: Simplify 0 into 0 4.421 * [backup-simplify]: Simplify 1 into 1 4.421 * [taylor]: Taking taylor expansion of x in y 4.421 * [backup-simplify]: Simplify x into x 4.421 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.421 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.421 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.421 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.421 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.421 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.421 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.421 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.421 * [taylor]: Taking taylor expansion of 0.5 in x 4.422 * [backup-simplify]: Simplify 0.5 into 0.5 4.422 * [taylor]: Taking taylor expansion of (/ y x) in x 4.422 * [taylor]: Taking taylor expansion of y in x 4.422 * [backup-simplify]: Simplify y into y 4.422 * [taylor]: Taking taylor expansion of x in x 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 1 into 1 4.422 * [backup-simplify]: Simplify (/ y 1) into y 4.422 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.422 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.422 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.422 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.422 * [taylor]: Taking taylor expansion of 0.5 in x 4.422 * [backup-simplify]: Simplify 0.5 into 0.5 4.422 * [taylor]: Taking taylor expansion of (/ y x) in x 4.422 * [taylor]: Taking taylor expansion of y in x 4.422 * [backup-simplify]: Simplify y into y 4.422 * [taylor]: Taking taylor expansion of x in x 4.422 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify 1 into 1 4.422 * [backup-simplify]: Simplify (/ y 1) into y 4.422 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.422 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.423 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.423 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.423 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.423 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.423 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.423 * [taylor]: Taking taylor expansion of 0.5 in x 4.423 * [backup-simplify]: Simplify 0.5 into 0.5 4.423 * [taylor]: Taking taylor expansion of (/ y x) in x 4.423 * [taylor]: Taking taylor expansion of y in x 4.423 * [backup-simplify]: Simplify y into y 4.423 * [taylor]: Taking taylor expansion of x in x 4.423 * [backup-simplify]: Simplify 0 into 0 4.423 * [backup-simplify]: Simplify 1 into 1 4.423 * [backup-simplify]: Simplify (/ y 1) into y 4.423 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.423 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.423 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.423 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.423 * [taylor]: Taking taylor expansion of 0.5 in x 4.423 * [backup-simplify]: Simplify 0.5 into 0.5 4.423 * [taylor]: Taking taylor expansion of (/ y x) in x 4.423 * [taylor]: Taking taylor expansion of y in x 4.423 * [backup-simplify]: Simplify y into y 4.424 * [taylor]: Taking taylor expansion of x in x 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.424 * [backup-simplify]: Simplify (/ y 1) into y 4.424 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.424 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.424 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.424 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.424 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.424 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.424 * [taylor]: Taking taylor expansion of 0.5 in y 4.424 * [backup-simplify]: Simplify 0.5 into 0.5 4.424 * [taylor]: Taking taylor expansion of (/ y x) in y 4.424 * [taylor]: Taking taylor expansion of y in y 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.424 * [taylor]: Taking taylor expansion of x in y 4.424 * [backup-simplify]: Simplify x into x 4.424 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.425 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.425 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.425 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.425 * [taylor]: Taking taylor expansion of 0.5 in y 4.425 * [backup-simplify]: Simplify 0.5 into 0.5 4.425 * [taylor]: Taking taylor expansion of (/ y x) in y 4.425 * [taylor]: Taking taylor expansion of y in y 4.425 * [backup-simplify]: Simplify 0 into 0 4.425 * [backup-simplify]: Simplify 1 into 1 4.425 * [taylor]: Taking taylor expansion of x in y 4.425 * [backup-simplify]: Simplify x into x 4.425 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.425 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.425 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.425 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.425 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.426 * [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 4.426 * [taylor]: Taking taylor expansion of 0 in y 4.426 * [backup-simplify]: Simplify 0 into 0 4.426 * [backup-simplify]: Simplify 0 into 0 4.426 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.428 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.428 * [backup-simplify]: Simplify (+ 0) into 0 4.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.429 * [backup-simplify]: Simplify 0 into 0 4.430 * [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 4.430 * [taylor]: Taking taylor expansion of 0 in y 4.430 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify 0 into 0 4.430 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.431 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.432 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.433 * [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))) 4.433 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.434 * [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 4.434 * [taylor]: Taking taylor expansion of 0 in y 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 0 into 0 4.434 * [backup-simplify]: Simplify 0 into 0 4.435 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.436 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.437 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.437 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.438 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.438 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.439 * [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 4.439 * [backup-simplify]: Simplify 0 into 0 4.440 * [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 4.440 * [taylor]: Taking taylor expansion of 0 in y 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [backup-simplify]: Simplify 0 into 0 4.440 * [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))) 4.440 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.441 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 4.441 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 4.441 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.441 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.441 * [taylor]: Taking taylor expansion of 0.5 in y 4.441 * [backup-simplify]: Simplify 0.5 into 0.5 4.441 * [taylor]: Taking taylor expansion of (/ x y) in y 4.441 * [taylor]: Taking taylor expansion of x in y 4.441 * [backup-simplify]: Simplify x into x 4.441 * [taylor]: Taking taylor expansion of y in y 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [backup-simplify]: Simplify (/ x 1) into x 4.441 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.441 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.441 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.441 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.441 * [taylor]: Taking taylor expansion of 0.5 in x 4.441 * [backup-simplify]: Simplify 0.5 into 0.5 4.441 * [taylor]: Taking taylor expansion of (/ x y) in x 4.441 * [taylor]: Taking taylor expansion of x in x 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [taylor]: Taking taylor expansion of y in x 4.441 * [backup-simplify]: Simplify y into y 4.441 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.441 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.441 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.441 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.441 * [taylor]: Taking taylor expansion of 0.5 in x 4.441 * [backup-simplify]: Simplify 0.5 into 0.5 4.441 * [taylor]: Taking taylor expansion of (/ x y) in x 4.441 * [taylor]: Taking taylor expansion of x in x 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 1 into 1 4.441 * [taylor]: Taking taylor expansion of y in x 4.441 * [backup-simplify]: Simplify y into y 4.441 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.441 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.441 * [taylor]: Taking taylor expansion of 0 in y 4.441 * [backup-simplify]: Simplify 0 into 0 4.441 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.442 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 4.442 * [taylor]: Taking taylor expansion of 0.5 in y 4.442 * [backup-simplify]: Simplify 0.5 into 0.5 4.442 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.442 * [taylor]: Taking taylor expansion of y in y 4.442 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify 1 into 1 4.442 * [backup-simplify]: Simplify (/ 1 1) into 1 4.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.443 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.443 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.444 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.444 * [taylor]: Taking taylor expansion of 0 in y 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.445 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.445 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 4.445 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 4.445 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.445 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.445 * [taylor]: Taking taylor expansion of 0.5 in y 4.445 * [backup-simplify]: Simplify 0.5 into 0.5 4.445 * [taylor]: Taking taylor expansion of (/ y x) in y 4.445 * [taylor]: Taking taylor expansion of y in y 4.445 * [backup-simplify]: Simplify 0 into 0 4.445 * [backup-simplify]: Simplify 1 into 1 4.445 * [taylor]: Taking taylor expansion of x in y 4.445 * [backup-simplify]: Simplify x into x 4.445 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.445 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.445 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.445 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.445 * [taylor]: Taking taylor expansion of 0.5 in x 4.445 * [backup-simplify]: Simplify 0.5 into 0.5 4.445 * [taylor]: Taking taylor expansion of (/ y x) in x 4.445 * [taylor]: Taking taylor expansion of y in x 4.445 * [backup-simplify]: Simplify y into y 4.445 * [taylor]: Taking taylor expansion of x in x 4.445 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [backup-simplify]: Simplify (/ y 1) into y 4.446 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.446 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.446 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.446 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.446 * [taylor]: Taking taylor expansion of 0.5 in x 4.446 * [backup-simplify]: Simplify 0.5 into 0.5 4.446 * [taylor]: Taking taylor expansion of (/ y x) in x 4.446 * [taylor]: Taking taylor expansion of y in x 4.446 * [backup-simplify]: Simplify y into y 4.446 * [taylor]: Taking taylor expansion of x in x 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [backup-simplify]: Simplify (/ y 1) into y 4.446 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.446 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.446 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.446 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.446 * [taylor]: Taking taylor expansion of 0.5 in y 4.446 * [backup-simplify]: Simplify 0.5 into 0.5 4.446 * [taylor]: Taking taylor expansion of (/ y x) in y 4.446 * [taylor]: Taking taylor expansion of y in y 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 1 into 1 4.446 * [taylor]: Taking taylor expansion of x in y 4.446 * [backup-simplify]: Simplify x into x 4.446 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.446 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [taylor]: Taking taylor expansion of 0 in y 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify 0 into 0 4.446 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.447 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.447 * [taylor]: Taking taylor expansion of 0 in y 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.447 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.447 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.448 * [taylor]: Taking taylor expansion of 0 in y 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 4.448 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 4.448 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 4.448 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.448 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.448 * [taylor]: Taking taylor expansion of 0.5 in y 4.448 * [backup-simplify]: Simplify 0.5 into 0.5 4.448 * [taylor]: Taking taylor expansion of (/ y x) in y 4.448 * [taylor]: Taking taylor expansion of y in y 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 1 into 1 4.448 * [taylor]: Taking taylor expansion of x in y 4.448 * [backup-simplify]: Simplify x into x 4.448 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.448 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.448 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.448 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.448 * [taylor]: Taking taylor expansion of 0.5 in x 4.448 * [backup-simplify]: Simplify 0.5 into 0.5 4.448 * [taylor]: Taking taylor expansion of (/ y x) in x 4.448 * [taylor]: Taking taylor expansion of y in x 4.448 * [backup-simplify]: Simplify y into y 4.448 * [taylor]: Taking taylor expansion of x in x 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 1 into 1 4.448 * [backup-simplify]: Simplify (/ y 1) into y 4.448 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.448 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.448 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.448 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.448 * [taylor]: Taking taylor expansion of 0.5 in x 4.448 * [backup-simplify]: Simplify 0.5 into 0.5 4.448 * [taylor]: Taking taylor expansion of (/ y x) in x 4.448 * [taylor]: Taking taylor expansion of y in x 4.449 * [backup-simplify]: Simplify y into y 4.449 * [taylor]: Taking taylor expansion of x in x 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 1 into 1 4.449 * [backup-simplify]: Simplify (/ y 1) into y 4.449 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.449 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.449 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.449 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.449 * [taylor]: Taking taylor expansion of 0.5 in y 4.449 * [backup-simplify]: Simplify 0.5 into 0.5 4.449 * [taylor]: Taking taylor expansion of (/ y x) in y 4.449 * [taylor]: Taking taylor expansion of y in y 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 1 into 1 4.449 * [taylor]: Taking taylor expansion of x in y 4.449 * [backup-simplify]: Simplify x into x 4.449 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.449 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [taylor]: Taking taylor expansion of 0 in y 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.449 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.449 * [taylor]: Taking taylor expansion of 0 in y 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.450 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.450 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [taylor]: Taking taylor expansion of 0 in y 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 4.451 * * * [progress]: simplifying candidates 4.451 * [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)) 4.452 * * [simplify]: Extracting # 0 : cost 0 4.452 * * [simplify]: Extracting # 1 : cost 0 4.452 * * [simplify]: Extracting # 2 : cost 0 4.452 * * [simplify]: Extracting # 3 : cost 0 4.452 * * [simplify]: Extracting # 4 : cost 0 4.452 * * [simplify]: Extracting # 5 : cost 0 4.452 * * [simplify]: Extracting # 6 : cost 0 4.452 * * [simplify]: Extracting # 7 : cost 0 4.452 * * [simplify]: iteration 0 : 33 enodes (cost 420 ) 4.457 * * [simplify]: Extracting # 0 : cost 0 4.458 * * [simplify]: Extracting # 1 : cost 0 4.458 * * [simplify]: Extracting # 2 : cost 0 4.458 * * [simplify]: Extracting # 3 : cost 0 4.458 * * [simplify]: iteration 1 : 57 enodes (cost 420 ) 4.468 * * [simplify]: Extracting # 0 : cost 0 4.468 * * [simplify]: Extracting # 1 : cost 0 4.468 * * [simplify]: Extracting # 2 : cost 0 4.469 * * [simplify]: Extracting # 3 : cost 0 4.469 * * [simplify]: Extracting # 4 : cost 0 4.469 * * [simplify]: iteration 2 : 125 enodes (cost 372 ) 4.503 * * [simplify]: Extracting # 0 : cost 0 4.503 * * [simplify]: Extracting # 1 : cost 0 4.503 * * [simplify]: Extracting # 2 : cost 0 4.504 * * [simplify]: Extracting # 3 : cost 0 4.504 * * [simplify]: Extracting # 4 : cost 0 4.505 * * [simplify]: iteration 3 : 421 enodes (cost 372 ) 4.898 * * [simplify]: Extracting # 0 : cost 0 4.903 * * [simplify]: Extracting # 1 : cost 0 4.907 * * [simplify]: Extracting # 2 : cost 0 4.910 * * [simplify]: Extracting # 3 : cost 0 4.914 * * [simplify]: Extracting # 4 : cost 0 4.917 * * [simplify]: iteration 4 : 1827 enodes (cost 360 ) 6.121 * * [simplify]: Extracting # 0 : cost 0 6.140 * * [simplify]: Extracting # 1 : cost 0 6.146 * * [simplify]: Extracting # 2 : cost 0 6.151 * * [simplify]: Extracting # 3 : cost 0 6.157 * * [simplify]: iteration done: 5001 enodes (cost 360 ) 6.157 * [simplify]: Simplified to: (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)))) (pow (tan (/ x (* y 2.0))) 3) (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)))) (pow (tan (/ x (* y 2.0))) 3) (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)))) (pow (tan (/ x (* y 2.0))) 3) (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)))) (pow (sin (/ x (* y 2.0))) 3) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 6.158 * * * [progress]: adding candidates to table 6.409 * [progress]: [Phase 3 of 3] Extracting. 6.409 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) 6.418 * * * [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) 6.418 * * * * [regimes]: Trying to branch on (* y 2.0) from (# # # # # # # # # # # # # # # # # #) 6.517 * * * * [regimes]: Trying to branch on (/ x (* y 2.0)) from (# # # # # # # # # # # # # # # # # #) 6.597 * * * * [regimes]: Trying to branch on (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) from (# # # # # # # # # # # # # # # # # #) 6.701 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # # # # # # #) 6.824 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # # #) 6.935 * * * [regime]: Found split indices: #