33.182 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.098 * * * [progress]: [2/2] Setting up program. 0.103 * [progress]: [Phase 2 of 3] Improving. 0.104 * [simplify]: Simplifying: (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0.104 * * [simplify]: iteration 0: 8 enodes 0.105 * * [simplify]: iteration 1: 11 enodes 0.107 * * [simplify]: iteration 2: 13 enodes 0.109 * * [simplify]: iteration complete: 13 enodes 0.109 * * [simplify]: Extracting #0: cost 1 inf + 0 0.109 * * [simplify]: Extracting #1: cost 3 inf + 0 0.109 * * [simplify]: Extracting #2: cost 4 inf + 0 0.109 * * [simplify]: Extracting #3: cost 10 inf + 0 0.109 * * [simplify]: Extracting #4: cost 6 inf + 45 0.109 * * [simplify]: Extracting #5: cost 0 inf + 811 0.109 * [simplify]: Simplified to: (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) 0.110 * * [progress]: iteration 1 / 4 0.110 * * * [progress]: picking best candidate 0.136 * * * * [pick]: Picked # 0.136 * * * [progress]: localizing error 0.153 * * * [progress]: generating rewritten candidates 0.153 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.156 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.160 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.171 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.171 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 0.171 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 0.171 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.171 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.171 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.171 * [taylor]: Taking taylor expansion of (* 0.5 (/ x 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 (/ x y) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [backup-simplify]: Simplify x into x 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 (/ x 1) into x 0.171 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.171 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.171 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.171 * [taylor]: Taking taylor expansion of (* 0.5 (/ x 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 (/ x y) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [backup-simplify]: Simplify x into x 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 (/ x 1) into x 0.171 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.172 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.172 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.172 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.172 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.172 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.172 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.172 * [taylor]: Taking taylor expansion of 0.5 in x 0.172 * [backup-simplify]: Simplify 0.5 into 0.5 0.172 * [taylor]: Taking taylor expansion of (/ x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [backup-simplify]: Simplify y into y 0.172 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.172 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.172 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.172 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.172 * [taylor]: Taking taylor expansion of 0.5 in x 0.172 * [backup-simplify]: Simplify 0.5 into 0.5 0.172 * [taylor]: Taking taylor expansion of (/ x y) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [backup-simplify]: Simplify y into y 0.172 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.172 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.173 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.173 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.173 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.173 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.173 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.173 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.173 * [taylor]: Taking taylor expansion of 0.5 in x 0.173 * [backup-simplify]: Simplify 0.5 into 0.5 0.173 * [taylor]: Taking taylor expansion of (/ x y) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [backup-simplify]: Simplify y into y 0.173 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.173 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.173 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.173 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.173 * [taylor]: Taking taylor expansion of 0.5 in x 0.173 * [backup-simplify]: Simplify 0.5 into 0.5 0.173 * [taylor]: Taking taylor expansion of (/ x y) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [backup-simplify]: Simplify y into y 0.173 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.173 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.174 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.174 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.174 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.174 * [taylor]: Taking taylor expansion of 0.5 in y 0.174 * [backup-simplify]: Simplify 0.5 into 0.5 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.175 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.176 * [backup-simplify]: Simplify (+ 0) into 0 0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.180 * [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))) 0.180 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 0.180 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 0.180 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.180 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 0.187 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.187 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.187 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.187 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.187 * [taylor]: Taking taylor expansion of 0.5 in y 0.187 * [backup-simplify]: Simplify 0.5 into 0.5 0.187 * [taylor]: Taking taylor expansion of (/ y x) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [backup-simplify]: Simplify x into x 0.187 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.187 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.187 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.187 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.187 * [taylor]: Taking taylor expansion of 0.5 in y 0.187 * [backup-simplify]: Simplify 0.5 into 0.5 0.187 * [taylor]: Taking taylor expansion of (/ y x) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [backup-simplify]: Simplify x into x 0.187 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.187 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.187 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.187 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.187 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.188 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.188 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.188 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.188 * [taylor]: Taking taylor expansion of 0.5 in x 0.188 * [backup-simplify]: Simplify 0.5 into 0.5 0.188 * [taylor]: Taking taylor expansion of (/ y x) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [backup-simplify]: Simplify y into y 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ y 1) into y 0.188 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.188 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.188 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.188 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.188 * [taylor]: Taking taylor expansion of 0.5 in x 0.188 * [backup-simplify]: Simplify 0.5 into 0.5 0.188 * [taylor]: Taking taylor expansion of (/ y x) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [backup-simplify]: Simplify y into y 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ y 1) into y 0.188 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.188 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.188 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.188 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.188 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.188 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.188 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.188 * [taylor]: Taking taylor expansion of 0.5 in x 0.188 * [backup-simplify]: Simplify 0.5 into 0.5 0.188 * [taylor]: Taking taylor expansion of (/ y x) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [backup-simplify]: Simplify y into y 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ y 1) into y 0.189 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.189 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.189 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.189 * [taylor]: Taking taylor expansion of 0.5 in x 0.189 * [backup-simplify]: Simplify 0.5 into 0.5 0.189 * [taylor]: Taking taylor expansion of (/ y x) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [backup-simplify]: Simplify y into y 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ y 1) into y 0.189 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.189 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.189 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.189 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.189 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.189 * [taylor]: Taking taylor expansion of 0.5 in y 0.189 * [backup-simplify]: Simplify 0.5 into 0.5 0.189 * [taylor]: Taking taylor expansion of (/ y x) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [backup-simplify]: Simplify x into x 0.189 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.189 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.189 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.189 * [taylor]: Taking taylor expansion of 0.5 in y 0.189 * [backup-simplify]: Simplify 0.5 into 0.5 0.189 * [taylor]: Taking taylor expansion of (/ y x) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [backup-simplify]: Simplify x into x 0.190 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.190 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.190 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.190 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.190 * [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 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.191 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.191 * [backup-simplify]: Simplify (+ 0) into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [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 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.194 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.194 * [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))) 0.194 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.195 * [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 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.196 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.197 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.197 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.197 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.199 * [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 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [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 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0.200 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 0.200 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 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 y 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [backup-simplify]: Simplify 0.5 into 0.5 0.200 * [taylor]: Taking taylor expansion of (/ y x) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [backup-simplify]: Simplify x into x 0.200 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.200 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.200 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [backup-simplify]: Simplify 0.5 into 0.5 0.200 * [taylor]: Taking taylor expansion of (/ y x) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [backup-simplify]: Simplify x into x 0.200 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.200 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.201 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.201 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.201 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.201 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.201 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.201 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.201 * [taylor]: Taking taylor expansion of 0.5 in x 0.201 * [backup-simplify]: Simplify 0.5 into 0.5 0.201 * [taylor]: Taking taylor expansion of (/ y x) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [backup-simplify]: Simplify y into y 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [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 (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.201 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.201 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.201 * [taylor]: Taking taylor expansion of 0.5 in x 0.201 * [backup-simplify]: Simplify 0.5 into 0.5 0.201 * [taylor]: Taking taylor expansion of (/ y x) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [backup-simplify]: Simplify y into y 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [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 (tan (* 0.5 (/ y x))) in x 0.201 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.201 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.202 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.202 * [taylor]: Taking taylor expansion of 0.5 in x 0.202 * [backup-simplify]: Simplify 0.5 into 0.5 0.202 * [taylor]: Taking taylor expansion of (/ y x) in x 0.202 * [taylor]: Taking taylor expansion of y in x 0.202 * [backup-simplify]: Simplify y into y 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ y 1) into y 0.202 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.202 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.202 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.202 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.202 * [taylor]: Taking taylor expansion of 0.5 in x 0.202 * [backup-simplify]: Simplify 0.5 into 0.5 0.202 * [taylor]: Taking taylor expansion of (/ y x) in x 0.202 * [taylor]: Taking taylor expansion of y in x 0.202 * [backup-simplify]: Simplify y into y 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ y 1) into y 0.202 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.202 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.202 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.202 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.202 * [taylor]: Taking taylor expansion of (sin (* 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 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.203 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.203 * [taylor]: Taking taylor expansion of 0.5 in y 0.203 * [backup-simplify]: Simplify 0.5 into 0.5 0.203 * [taylor]: Taking taylor expansion of (/ y x) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [taylor]: Taking taylor expansion of x in y 0.203 * [backup-simplify]: Simplify x into x 0.203 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.203 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.203 * [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 0.204 * [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 0.206 * [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 0.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.207 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.208 * [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))) 0.208 * [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 0.211 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.212 * [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 0.213 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0.213 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.213 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 0.213 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) 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 (/ x y) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [backup-simplify]: Simplify x into x 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 * [backup-simplify]: Simplify (/ x 1) into x 0.213 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.213 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.213 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.213 * [taylor]: Taking taylor expansion of 0.5 in x 0.213 * [backup-simplify]: Simplify 0.5 into 0.5 0.213 * [taylor]: Taking taylor expansion of (/ x y) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of y in x 0.213 * [backup-simplify]: Simplify y into y 0.213 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.213 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.213 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) 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 (/ x y) in x 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 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.214 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.214 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.214 * [taylor]: Taking taylor expansion of 0.5 in y 0.214 * [backup-simplify]: Simplify 0.5 into 0.5 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 0.222 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.222 * [taylor]: Taking taylor expansion of 0.5 in y 0.222 * [backup-simplify]: Simplify 0.5 into 0.5 0.222 * [taylor]: Taking taylor expansion of (/ y x) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [backup-simplify]: Simplify x into x 0.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.222 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.222 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.222 * [taylor]: Taking taylor expansion of 0.5 in x 0.222 * [backup-simplify]: Simplify 0.5 into 0.5 0.222 * [taylor]: Taking taylor expansion of (/ y x) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [backup-simplify]: Simplify y into y 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ y 1) into y 0.223 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.223 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.223 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.223 * [taylor]: Taking taylor expansion of 0.5 in x 0.223 * [backup-simplify]: Simplify 0.5 into 0.5 0.223 * [taylor]: Taking taylor expansion of (/ y x) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [backup-simplify]: Simplify y into y 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ y 1) into y 0.223 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.223 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.223 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.223 * [taylor]: Taking taylor expansion of 0.5 in y 0.223 * [backup-simplify]: Simplify 0.5 into 0.5 0.223 * [taylor]: Taking taylor expansion of (/ y x) in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [backup-simplify]: Simplify x into x 0.223 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.223 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.224 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.225 * [backup-simplify]: Simplify 0 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 into 0 0.225 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 0.225 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 0.225 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.225 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.225 * [taylor]: Taking taylor expansion of 0.5 in y 0.225 * [backup-simplify]: Simplify 0.5 into 0.5 0.225 * [taylor]: Taking taylor expansion of (/ y x) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [backup-simplify]: Simplify x into x 0.225 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.225 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.225 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) 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 (/ y x) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [backup-simplify]: Simplify y into y 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 * [backup-simplify]: Simplify (/ y 1) into y 0.226 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.226 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.226 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.226 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) 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 (/ y x) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [backup-simplify]: Simplify y into y 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 * [backup-simplify]: Simplify (/ y 1) into y 0.226 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.226 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.226 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.226 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) 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 (/ y x) in y 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 * [taylor]: Taking taylor expansion of x in y 0.226 * [backup-simplify]: Simplify x into x 0.226 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.226 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.227 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 0.228 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.228 * [backup-simplify]: Simplify (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) into (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 0.228 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0 0.228 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.228 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.228 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.228 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.228 * [taylor]: Taking taylor expansion of 0.5 in y 0.228 * [backup-simplify]: Simplify 0.5 into 0.5 0.228 * [taylor]: Taking taylor expansion of (/ x y) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [backup-simplify]: Simplify x into x 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ x 1) into x 0.228 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.228 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.228 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.229 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.229 * [taylor]: Taking taylor expansion of 0.5 in y 0.229 * [backup-simplify]: Simplify 0.5 into 0.5 0.229 * [taylor]: Taking taylor expansion of (/ x y) in y 0.229 * [taylor]: Taking taylor expansion of x in y 0.229 * [backup-simplify]: Simplify x into x 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ x 1) into x 0.229 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.229 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.229 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.229 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.229 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.229 * [taylor]: Taking taylor expansion of 0.5 in y 0.229 * [backup-simplify]: Simplify 0.5 into 0.5 0.229 * [taylor]: Taking taylor expansion of (/ x y) in y 0.229 * [taylor]: Taking taylor expansion of x in y 0.229 * [backup-simplify]: Simplify x into x 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ x 1) into x 0.229 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.229 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.229 * [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)))) 0.229 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.229 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.229 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.229 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.229 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.230 * [taylor]: Taking taylor expansion of 0.5 in x 0.230 * [backup-simplify]: Simplify 0.5 into 0.5 0.230 * [taylor]: Taking taylor expansion of (/ x y) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [backup-simplify]: Simplify y into y 0.230 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.230 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.230 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.230 * [taylor]: Taking taylor expansion of 0.5 in x 0.230 * [backup-simplify]: Simplify 0.5 into 0.5 0.230 * [taylor]: Taking taylor expansion of (/ x y) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [backup-simplify]: Simplify y into y 0.230 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.230 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.230 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.230 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.230 * [taylor]: Taking taylor expansion of 0.5 in x 0.230 * [backup-simplify]: Simplify 0.5 into 0.5 0.230 * [taylor]: Taking taylor expansion of (/ x y) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [backup-simplify]: Simplify y into y 0.230 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.230 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.231 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.231 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.231 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.231 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.231 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) 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 (/ x y) in x 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 * [taylor]: Taking taylor expansion of y in x 0.231 * [backup-simplify]: Simplify y into y 0.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.231 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.231 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) 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 (/ x y) in x 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 * [taylor]: Taking taylor expansion of y in x 0.231 * [backup-simplify]: Simplify y into y 0.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.231 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.231 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.231 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) 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 (/ x y) in x 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 * [taylor]: Taking taylor expansion of y in x 0.231 * [backup-simplify]: Simplify y into y 0.232 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.232 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.232 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.232 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.232 * [taylor]: Taking taylor expansion of 1.0 in y 0.232 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.233 * [backup-simplify]: Simplify (+ 0) into 0 0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) into 0 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 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.237 * [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))) 0.237 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.239 * [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))) 0.239 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 0.239 * [taylor]: Taking taylor expansion of 0.125 in y 0.239 * [backup-simplify]: Simplify 0.125 into 0.125 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.243 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.245 * [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 0.245 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.247 * [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 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [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)))) 0.248 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.248 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.248 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.248 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.248 * [taylor]: Taking taylor expansion of 0.5 in y 0.248 * [backup-simplify]: Simplify 0.5 into 0.5 0.248 * [taylor]: Taking taylor expansion of (/ y x) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [backup-simplify]: Simplify x into x 0.248 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.248 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.248 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.248 * [taylor]: Taking taylor expansion of 0.5 in y 0.248 * [backup-simplify]: Simplify 0.5 into 0.5 0.248 * [taylor]: Taking taylor expansion of (/ y x) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [backup-simplify]: Simplify x into x 0.248 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.248 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.248 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.249 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.249 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.249 * [taylor]: Taking taylor expansion of 0.5 in y 0.249 * [backup-simplify]: Simplify 0.5 into 0.5 0.249 * [taylor]: Taking taylor expansion of (/ y x) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [backup-simplify]: Simplify x into x 0.249 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.249 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.249 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.249 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.249 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.249 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.249 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.249 * [taylor]: Taking taylor expansion of 0.5 in x 0.249 * [backup-simplify]: Simplify 0.5 into 0.5 0.249 * [taylor]: Taking taylor expansion of (/ y x) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [backup-simplify]: Simplify y into y 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ y 1) into y 0.249 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.249 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.249 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.249 * [taylor]: Taking taylor expansion of 0.5 in x 0.249 * [backup-simplify]: Simplify 0.5 into 0.5 0.249 * [taylor]: Taking taylor expansion of (/ y x) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [backup-simplify]: Simplify y into y 0.249 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ y 1) into y 0.250 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.250 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.250 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.250 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.250 * [taylor]: Taking taylor expansion of 0.5 in x 0.250 * [backup-simplify]: Simplify 0.5 into 0.5 0.250 * [taylor]: Taking taylor expansion of (/ y x) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [backup-simplify]: Simplify y into y 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ y 1) into y 0.250 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.250 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.250 * [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)))) 0.250 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.250 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.250 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.250 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.250 * [taylor]: Taking taylor expansion of 0.5 in x 0.250 * [backup-simplify]: Simplify 0.5 into 0.5 0.250 * [taylor]: Taking taylor expansion of (/ y x) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [backup-simplify]: Simplify y into y 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ y 1) into y 0.251 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.251 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.251 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.251 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.251 * [taylor]: Taking taylor expansion of 0.5 in x 0.251 * [backup-simplify]: Simplify 0.5 into 0.5 0.251 * [taylor]: Taking taylor expansion of (/ y x) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [backup-simplify]: Simplify y into y 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ y 1) into y 0.251 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.251 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.251 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.251 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.251 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.251 * [taylor]: Taking taylor expansion of 0.5 in x 0.251 * [backup-simplify]: Simplify 0.5 into 0.5 0.251 * [taylor]: Taking taylor expansion of (/ y x) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [backup-simplify]: Simplify y into y 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ y 1) into y 0.251 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.251 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.252 * [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)))) 0.252 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.252 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.252 * [taylor]: Taking taylor expansion of 0.5 in y 0.252 * [backup-simplify]: Simplify 0.5 into 0.5 0.252 * [taylor]: Taking taylor expansion of (/ y x) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [backup-simplify]: Simplify x into x 0.252 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.252 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [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 0.253 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ 0) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [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 0.255 * [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 0.255 * [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 0 into 0 0.255 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.255 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.256 * [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 0.256 * [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 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [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 0.259 * [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 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [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) 0.260 * [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)))) 0.260 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.260 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.260 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.260 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.260 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.260 * [taylor]: Taking taylor expansion of 0.5 in y 0.260 * [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 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.260 * [taylor]: Taking taylor expansion of 0.5 in y 0.260 * [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 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.260 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.260 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.260 * [taylor]: Taking taylor expansion of 0.5 in y 0.260 * [backup-simplify]: Simplify 0.5 into 0.5 0.261 * [taylor]: Taking taylor expansion of (/ y x) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [backup-simplify]: Simplify x into x 0.261 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.261 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.261 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.261 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.261 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.261 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.261 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.261 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.261 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.261 * [taylor]: Taking taylor expansion of 0.5 in x 0.261 * [backup-simplify]: Simplify 0.5 into 0.5 0.261 * [taylor]: Taking taylor expansion of (/ y x) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [backup-simplify]: Simplify y into y 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ y 1) into y 0.261 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.261 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.261 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.261 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.261 * [taylor]: Taking taylor expansion of 0.5 in x 0.261 * [backup-simplify]: Simplify 0.5 into 0.5 0.261 * [taylor]: Taking taylor expansion of (/ y x) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [backup-simplify]: Simplify y into y 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ y 1) into y 0.261 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.262 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.262 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.262 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.262 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.262 * [taylor]: Taking taylor expansion of 0.5 in x 0.262 * [backup-simplify]: Simplify 0.5 into 0.5 0.262 * [taylor]: Taking taylor expansion of (/ y x) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [backup-simplify]: Simplify y into y 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ y 1) into y 0.262 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.262 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.262 * [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)))) 0.262 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.262 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.262 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.262 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.262 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.262 * [taylor]: Taking taylor expansion of 0.5 in x 0.262 * [backup-simplify]: Simplify 0.5 into 0.5 0.262 * [taylor]: Taking taylor expansion of (/ y x) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [backup-simplify]: Simplify y into y 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (/ y 1) into y 0.262 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.263 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.263 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.263 * [taylor]: Taking taylor expansion of 0.5 in x 0.263 * [backup-simplify]: Simplify 0.5 into 0.5 0.263 * [taylor]: Taking taylor expansion of (/ y x) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ y 1) into y 0.263 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.263 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.263 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.263 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.263 * [taylor]: Taking taylor expansion of 0.5 in x 0.263 * [backup-simplify]: Simplify 0.5 into 0.5 0.263 * [taylor]: Taking taylor expansion of (/ y x) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ y 1) into y 0.263 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.263 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.263 * [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)))) 0.263 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.263 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.264 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.264 * [taylor]: Taking taylor expansion of 0.5 in y 0.264 * [backup-simplify]: Simplify 0.5 into 0.5 0.264 * [taylor]: Taking taylor expansion of (/ y x) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [backup-simplify]: Simplify x into x 0.264 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.264 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [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 0.265 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ 0) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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))))))) 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))))))) 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 0.266 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.267 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.267 * [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 0.268 * [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 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.271 * [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 0.271 * [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 0.272 * [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 0.272 * [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) 0.272 * * * [progress]: simplifying candidates 0.273 * [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 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow 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) 0.275 * * [simplify]: iteration 0: 77 enodes 0.290 * * [simplify]: iteration 1: 144 enodes 0.322 * * [simplify]: iteration 2: 494 enodes 0.647 * * [simplify]: iteration 3: 3170 enodes 1.118 * * [simplify]: iteration complete: 5002 enodes 1.118 * * [simplify]: Extracting #0: cost 49 inf + 0 1.119 * * [simplify]: Extracting #1: cost 292 inf + 3 1.121 * * [simplify]: Extracting #2: cost 716 inf + 288 1.143 * * [simplify]: Extracting #3: cost 1671 inf + 20708 1.179 * * [simplify]: Extracting #4: cost 1182 inf + 175396 1.228 * * [simplify]: Extracting #5: cost 321 inf + 358008 1.287 * * [simplify]: Extracting #6: cost 22 inf + 457160 1.348 * * [simplify]: Extracting #7: cost 0 inf + 464512 1.430 * [simplify]: Simplified to: (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y))) (log (tan (/ x (* 2.0 y)))) (exp (tan (/ x (* 2.0 y)))) (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y)))) (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y)))) (sqrt (tan (/ x (* 2.0 y)))) (sqrt (tan (/ x (* 2.0 y)))) (log (sin (/ x (* 2.0 y)))) (exp (sin (/ x (* 2.0 y)))) (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (cbrt (sin (/ x (* 2.0 y)))) (* (* (sin (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y)))) (log (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (log (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (exp (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (* (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (* (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))) (* (cbrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (cbrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))) (cbrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (* (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (* (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))))) (sqrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (sqrt (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (- (tan (/ x (* 2.0 y)))) (- (sin (/ x (* 2.0 y)))) (* (/ (cbrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (/ (cbrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))) (/ (cbrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (/ (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (sqrt (sin (/ x (* 2.0 y))))) (/ (cbrt (tan (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y))))) (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (/ (cbrt (tan (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y)))) (/ (/ (sqrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (cbrt (sin (/ x (* 2.0 y))))) (/ (sqrt (tan (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (/ (sqrt (tan (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y))))) (/ (sqrt (tan (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y))))) (sqrt (tan (/ x (* 2.0 y)))) (/ (sqrt (tan (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y)))) (/ 1 (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))) (/ (tan (/ x (* 2.0 y))) (cbrt (sin (/ x (* 2.0 y))))) (/ 1 (sqrt (sin (/ x (* 2.0 y))))) (/ (tan (/ x (* 2.0 y))) (sqrt (sin (/ x (* 2.0 y))))) 1 (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (/ 1 (sin (/ x (* 2.0 y)))) (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (/ (tan (/ x (* 2.0 y))) (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))) (/ (tan (/ x (* 2.0 y))) (sqrt (sin (/ x (* 2.0 y))))) (tan (/ x (* 2.0 y))) (/ (sin (/ x (* 2.0 y))) (cbrt (tan (/ x (* 2.0 y))))) (/ (sin (/ x (* 2.0 y))) (sqrt (tan (/ x (* 2.0 y))))) (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (* (cos (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) 0 (+ (/ 0.5 (/ y x)) (* (* 0.04166666666666667 (/ x y)) (* (/ x y) (/ x y)))) (+ (/ 0.5 (/ y x)) (* (* 0.04166666666666667 (/ x y)) (* (/ x y) (/ x y)))) 0 (/ 0.5 (/ y x)) (/ 0.5 (/ y x)) 1.0 (+ (* 0.125 (* (/ x y) (/ x y))) 1) (+ (* 0.125 (* (/ x y) (/ x y))) 1) 1.434 * * * [progress]: adding candidates to table 1.697 * * [progress]: iteration 2 / 4 1.697 * * * [progress]: picking best candidate 1.760 * * * * [pick]: Picked # 1.760 * * * [progress]: localizing error 1.760 * * * [progress]: generating rewritten candidates 1.760 * * * [progress]: generating series expansions 1.760 * * * [progress]: simplifying candidates 1.760 * [simplify]: Simplifying: 1.760 * * [simplify]: iteration 0: 0 enodes 1.760 * * [simplify]: iteration complete: 0 enodes 1.760 * * [simplify]: Extracting #0: cost 0 inf + 0 1.760 * [simplify]: Simplified to: 1.760 * * * [progress]: adding candidates to table 1.761 * * [progress]: iteration 3 / 4 1.761 * * * [progress]: picking best candidate 1.820 * * * * [pick]: Picked # 1.820 * * * [progress]: localizing error 1.873 * * * [progress]: generating rewritten candidates 1.874 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.876 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 1.879 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.881 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.886 * * * [progress]: generating series expansions 1.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.886 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 1.886 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 1.886 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 1.886 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.886 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 1.886 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 1.886 * [taylor]: Taking taylor expansion of 0.5 in y 1.886 * [backup-simplify]: Simplify 0.5 into 0.5 1.886 * [taylor]: Taking taylor expansion of (/ x y) in y 1.886 * [taylor]: Taking taylor expansion of x in y 1.886 * [backup-simplify]: Simplify x into x 1.886 * [taylor]: Taking taylor expansion of y in y 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (/ x 1) into x 1.887 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.887 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 1.887 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 1.887 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 1.887 * [taylor]: Taking taylor expansion of 0.5 in y 1.887 * [backup-simplify]: Simplify 0.5 into 0.5 1.887 * [taylor]: Taking taylor expansion of (/ x y) in y 1.887 * [taylor]: Taking taylor expansion of x in y 1.887 * [backup-simplify]: Simplify x into x 1.887 * [taylor]: Taking taylor expansion of y in y 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ x 1) into x 1.887 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.887 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 1.887 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.887 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 1.887 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.887 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 1.887 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.887 * [taylor]: Taking taylor expansion of 0.5 in x 1.887 * [backup-simplify]: Simplify 0.5 into 0.5 1.887 * [taylor]: Taking taylor expansion of (/ x y) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [taylor]: Taking taylor expansion of y in x 1.887 * [backup-simplify]: Simplify y into y 1.887 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.887 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.887 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 1.887 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.887 * [taylor]: Taking taylor expansion of 0.5 in x 1.887 * [backup-simplify]: Simplify 0.5 into 0.5 1.887 * [taylor]: Taking taylor expansion of (/ x y) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [taylor]: Taking taylor expansion of y in x 1.887 * [backup-simplify]: Simplify y into y 1.888 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.888 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 1.888 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 1.888 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 1.888 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.888 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 1.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.888 * [taylor]: Taking taylor expansion of 0.5 in x 1.888 * [backup-simplify]: Simplify 0.5 into 0.5 1.888 * [taylor]: Taking taylor expansion of (/ x y) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [taylor]: Taking taylor expansion of y in x 1.888 * [backup-simplify]: Simplify y into y 1.888 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.888 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.888 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 1.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.888 * [taylor]: Taking taylor expansion of 0.5 in x 1.888 * [backup-simplify]: Simplify 0.5 into 0.5 1.888 * [taylor]: Taking taylor expansion of (/ x y) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [taylor]: Taking taylor expansion of y in x 1.888 * [backup-simplify]: Simplify y into y 1.888 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.888 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.888 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 1.889 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 1.889 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 1.889 * [taylor]: Taking taylor expansion of 0.5 in y 1.889 * [backup-simplify]: Simplify 0.5 into 0.5 1.889 * [taylor]: Taking taylor expansion of y in y 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 1.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.890 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 1.891 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.891 * [backup-simplify]: Simplify (+ 0) into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 1.892 * [taylor]: Taking taylor expansion of 0 in y 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 1.894 * [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))) 1.894 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 1.894 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 1.894 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 1.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.894 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.894 * [taylor]: Taking taylor expansion of y in y 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (* 1 1) into 1 1.895 * [backup-simplify]: Simplify (* 1 1) into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 1.901 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 1.901 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 1.901 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.901 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.901 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.901 * [taylor]: Taking taylor expansion of 0.5 in y 1.901 * [backup-simplify]: Simplify 0.5 into 0.5 1.901 * [taylor]: Taking taylor expansion of (/ y x) in y 1.901 * [taylor]: Taking taylor expansion of y in y 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [taylor]: Taking taylor expansion of x in y 1.901 * [backup-simplify]: Simplify x into x 1.901 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.902 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.902 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.902 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.902 * [taylor]: Taking taylor expansion of 0.5 in y 1.902 * [backup-simplify]: Simplify 0.5 into 0.5 1.902 * [taylor]: Taking taylor expansion of (/ y x) in y 1.902 * [taylor]: Taking taylor expansion of y in y 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [taylor]: Taking taylor expansion of x in y 1.902 * [backup-simplify]: Simplify x into x 1.902 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.902 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.902 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.902 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.902 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.902 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.902 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.902 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.902 * [taylor]: Taking taylor expansion of 0.5 in x 1.902 * [backup-simplify]: Simplify 0.5 into 0.5 1.902 * [taylor]: Taking taylor expansion of (/ y x) in x 1.902 * [taylor]: Taking taylor expansion of y in x 1.902 * [backup-simplify]: Simplify y into y 1.902 * [taylor]: Taking taylor expansion of x in x 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (/ y 1) into y 1.902 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.902 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.902 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.902 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.902 * [taylor]: Taking taylor expansion of 0.5 in x 1.902 * [backup-simplify]: Simplify 0.5 into 0.5 1.902 * [taylor]: Taking taylor expansion of (/ y x) in x 1.902 * [taylor]: Taking taylor expansion of y in x 1.902 * [backup-simplify]: Simplify y into y 1.902 * [taylor]: Taking taylor expansion of x in x 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (/ y 1) into y 1.903 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.903 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.903 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.903 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.903 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.903 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.903 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.903 * [taylor]: Taking taylor expansion of 0.5 in x 1.903 * [backup-simplify]: Simplify 0.5 into 0.5 1.903 * [taylor]: Taking taylor expansion of (/ y x) in x 1.903 * [taylor]: Taking taylor expansion of y in x 1.903 * [backup-simplify]: Simplify y into y 1.903 * [taylor]: Taking taylor expansion of x in x 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 1 into 1 1.903 * [backup-simplify]: Simplify (/ y 1) into y 1.903 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.903 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.903 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.903 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.903 * [taylor]: Taking taylor expansion of 0.5 in x 1.903 * [backup-simplify]: Simplify 0.5 into 0.5 1.904 * [taylor]: Taking taylor expansion of (/ y x) in x 1.904 * [taylor]: Taking taylor expansion of y in x 1.904 * [backup-simplify]: Simplify y into y 1.904 * [taylor]: Taking taylor expansion of x in x 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (/ y 1) into y 1.904 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.904 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.904 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.904 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 1.904 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.904 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.904 * [taylor]: Taking taylor expansion of 0.5 in y 1.904 * [backup-simplify]: Simplify 0.5 into 0.5 1.904 * [taylor]: Taking taylor expansion of (/ y x) in y 1.904 * [taylor]: Taking taylor expansion of y in y 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [taylor]: Taking taylor expansion of x in y 1.905 * [backup-simplify]: Simplify x into x 1.905 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.905 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.905 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.905 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.905 * [taylor]: Taking taylor expansion of 0.5 in y 1.905 * [backup-simplify]: Simplify 0.5 into 0.5 1.905 * [taylor]: Taking taylor expansion of (/ y x) in y 1.905 * [taylor]: Taking taylor expansion of y in y 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [taylor]: Taking taylor expansion of x in y 1.905 * [backup-simplify]: Simplify x into x 1.905 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.905 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.905 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.905 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 1.906 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.906 * [taylor]: Taking taylor expansion of 0 in y 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.906 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.907 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.907 * [backup-simplify]: Simplify (+ 0) into 0 1.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.908 * [taylor]: Taking taylor expansion of 0 in y 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.909 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.909 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1.909 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 1.910 * [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))) 1.910 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 1.911 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.911 * [taylor]: Taking taylor expansion of 0 in y 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.912 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.913 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.913 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.913 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.913 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.914 * [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 1.914 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.915 * [taylor]: Taking taylor expansion of 0 in y 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 1.916 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 1.916 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 1.916 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 1.916 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.916 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.916 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.916 * [taylor]: Taking taylor expansion of 0.5 in y 1.916 * [backup-simplify]: Simplify 0.5 into 0.5 1.916 * [taylor]: Taking taylor expansion of (/ y x) in y 1.916 * [taylor]: Taking taylor expansion of y in y 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [taylor]: Taking taylor expansion of x in y 1.916 * [backup-simplify]: Simplify x into x 1.916 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.916 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.916 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.916 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.916 * [taylor]: Taking taylor expansion of 0.5 in y 1.916 * [backup-simplify]: Simplify 0.5 into 0.5 1.916 * [taylor]: Taking taylor expansion of (/ y x) in y 1.916 * [taylor]: Taking taylor expansion of y in y 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [taylor]: Taking taylor expansion of x in y 1.916 * [backup-simplify]: Simplify x into x 1.916 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.916 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.916 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.916 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.916 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.916 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.916 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.916 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.917 * [taylor]: Taking taylor expansion of 0.5 in x 1.917 * [backup-simplify]: Simplify 0.5 into 0.5 1.917 * [taylor]: Taking taylor expansion of (/ y x) in x 1.917 * [taylor]: Taking taylor expansion of y in x 1.917 * [backup-simplify]: Simplify y into y 1.917 * [taylor]: Taking taylor expansion of x in x 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (/ y 1) into y 1.917 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.917 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.917 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.917 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.917 * [taylor]: Taking taylor expansion of 0.5 in x 1.917 * [backup-simplify]: Simplify 0.5 into 0.5 1.917 * [taylor]: Taking taylor expansion of (/ y x) in x 1.917 * [taylor]: Taking taylor expansion of y in x 1.917 * [backup-simplify]: Simplify y into y 1.917 * [taylor]: Taking taylor expansion of x in x 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (/ y 1) into y 1.917 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.917 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.917 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.917 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.917 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.917 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.917 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.917 * [taylor]: Taking taylor expansion of 0.5 in x 1.917 * [backup-simplify]: Simplify 0.5 into 0.5 1.917 * [taylor]: Taking taylor expansion of (/ y x) in x 1.917 * [taylor]: Taking taylor expansion of y in x 1.917 * [backup-simplify]: Simplify y into y 1.917 * [taylor]: Taking taylor expansion of x in x 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (/ y 1) into y 1.917 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.918 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.918 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.918 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.918 * [taylor]: Taking taylor expansion of 0.5 in x 1.918 * [backup-simplify]: Simplify 0.5 into 0.5 1.918 * [taylor]: Taking taylor expansion of (/ y x) in x 1.918 * [taylor]: Taking taylor expansion of y in x 1.918 * [backup-simplify]: Simplify y into y 1.918 * [taylor]: Taking taylor expansion of x in x 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (/ y 1) into y 1.918 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.918 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.918 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.918 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 1.918 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.918 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.918 * [taylor]: Taking taylor expansion of 0.5 in y 1.918 * [backup-simplify]: Simplify 0.5 into 0.5 1.918 * [taylor]: Taking taylor expansion of (/ y x) in y 1.918 * [taylor]: Taking taylor expansion of y in y 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [taylor]: Taking taylor expansion of x in y 1.918 * [backup-simplify]: Simplify x into x 1.918 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.918 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.918 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.918 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.918 * [taylor]: Taking taylor expansion of 0.5 in y 1.918 * [backup-simplify]: Simplify 0.5 into 0.5 1.918 * [taylor]: Taking taylor expansion of (/ y x) in y 1.918 * [taylor]: Taking taylor expansion of y in y 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [taylor]: Taking taylor expansion of x in y 1.918 * [backup-simplify]: Simplify x into x 1.918 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.918 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.919 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.919 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.919 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 1.919 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.919 * [taylor]: Taking taylor expansion of 0 in y 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.920 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.920 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.920 * [backup-simplify]: Simplify (+ 0) into 0 1.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.921 * [taylor]: Taking taylor expansion of 0 in y 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.922 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.923 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1.923 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 1.923 * [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))) 1.924 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 1.924 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.924 * [taylor]: Taking taylor expansion of 0 in y 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.925 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.926 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.927 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.928 * [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 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.928 * [taylor]: Taking taylor expansion of 0 in y 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 1.929 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 1.929 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 1.929 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 1.929 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 1.929 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.929 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 1.929 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 1.929 * [taylor]: Taking taylor expansion of 0.5 in y 1.929 * [backup-simplify]: Simplify 0.5 into 0.5 1.929 * [taylor]: Taking taylor expansion of (/ x y) in y 1.929 * [taylor]: Taking taylor expansion of x in y 1.929 * [backup-simplify]: Simplify x into x 1.929 * [taylor]: Taking taylor expansion of y in y 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (/ x 1) into x 1.929 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.929 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 1.929 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 1.929 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 1.930 * [taylor]: Taking taylor expansion of 0.5 in y 1.930 * [backup-simplify]: Simplify 0.5 into 0.5 1.930 * [taylor]: Taking taylor expansion of (/ x y) in y 1.930 * [taylor]: Taking taylor expansion of x in y 1.930 * [backup-simplify]: Simplify x into x 1.930 * [taylor]: Taking taylor expansion of y in y 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [backup-simplify]: Simplify (/ x 1) into x 1.930 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.930 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 1.930 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.930 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 1.930 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.930 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 1.930 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.930 * [taylor]: Taking taylor expansion of 0.5 in x 1.930 * [backup-simplify]: Simplify 0.5 into 0.5 1.930 * [taylor]: Taking taylor expansion of (/ x y) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [taylor]: Taking taylor expansion of y in x 1.930 * [backup-simplify]: Simplify y into y 1.930 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.930 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.930 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 1.930 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.931 * [taylor]: Taking taylor expansion of 0.5 in x 1.931 * [backup-simplify]: Simplify 0.5 into 0.5 1.931 * [taylor]: Taking taylor expansion of (/ x y) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [taylor]: Taking taylor expansion of y in x 1.931 * [backup-simplify]: Simplify y into y 1.931 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.931 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 1.931 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 1.931 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 1.931 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.931 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 1.931 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.931 * [taylor]: Taking taylor expansion of 0.5 in x 1.931 * [backup-simplify]: Simplify 0.5 into 0.5 1.931 * [taylor]: Taking taylor expansion of (/ x y) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [taylor]: Taking taylor expansion of y in x 1.931 * [backup-simplify]: Simplify y into y 1.931 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.931 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.931 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 1.931 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.931 * [taylor]: Taking taylor expansion of 0.5 in x 1.931 * [backup-simplify]: Simplify 0.5 into 0.5 1.931 * [taylor]: Taking taylor expansion of (/ x y) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [taylor]: Taking taylor expansion of y in x 1.931 * [backup-simplify]: Simplify y into y 1.931 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.932 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 1.932 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 1.932 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 1.932 * [taylor]: Taking taylor expansion of 0.5 in y 1.932 * [backup-simplify]: Simplify 0.5 into 0.5 1.932 * [taylor]: Taking taylor expansion of y in y 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 1.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 1.934 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.934 * [backup-simplify]: Simplify (+ 0) into 0 1.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 1.935 * [taylor]: Taking taylor expansion of 0 in y 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1.938 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 1.939 * [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))) 1.939 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 1.939 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 1.939 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 1.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.939 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.939 * [taylor]: Taking taylor expansion of y in y 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (* 1 1) into 1 1.940 * [backup-simplify]: Simplify (* 1 1) into 1 1.940 * [backup-simplify]: Simplify (/ 1 1) into 1 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 1.950 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 1.950 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 1.950 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.950 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.950 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.950 * [taylor]: Taking taylor expansion of 0.5 in y 1.950 * [backup-simplify]: Simplify 0.5 into 0.5 1.950 * [taylor]: Taking taylor expansion of (/ y x) in y 1.950 * [taylor]: Taking taylor expansion of y in y 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [taylor]: Taking taylor expansion of x in y 1.950 * [backup-simplify]: Simplify x into x 1.950 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.950 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.950 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.950 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.950 * [taylor]: Taking taylor expansion of 0.5 in y 1.950 * [backup-simplify]: Simplify 0.5 into 0.5 1.950 * [taylor]: Taking taylor expansion of (/ y x) in y 1.950 * [taylor]: Taking taylor expansion of y in y 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [taylor]: Taking taylor expansion of x in y 1.951 * [backup-simplify]: Simplify x into x 1.951 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.951 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.951 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.951 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.951 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.951 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.951 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.951 * [taylor]: Taking taylor expansion of 0.5 in x 1.951 * [backup-simplify]: Simplify 0.5 into 0.5 1.951 * [taylor]: Taking taylor expansion of (/ y x) in x 1.951 * [taylor]: Taking taylor expansion of y in x 1.951 * [backup-simplify]: Simplify y into y 1.951 * [taylor]: Taking taylor expansion of x in x 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (/ y 1) into y 1.951 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.952 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.952 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.952 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.952 * [taylor]: Taking taylor expansion of 0.5 in x 1.952 * [backup-simplify]: Simplify 0.5 into 0.5 1.952 * [taylor]: Taking taylor expansion of (/ y x) in x 1.952 * [taylor]: Taking taylor expansion of y in x 1.952 * [backup-simplify]: Simplify y into y 1.952 * [taylor]: Taking taylor expansion of x in x 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 1 into 1 1.952 * [backup-simplify]: Simplify (/ y 1) into y 1.952 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.952 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.952 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.952 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.952 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.952 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.952 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.952 * [taylor]: Taking taylor expansion of 0.5 in x 1.952 * [backup-simplify]: Simplify 0.5 into 0.5 1.952 * [taylor]: Taking taylor expansion of (/ y x) in x 1.952 * [taylor]: Taking taylor expansion of y in x 1.953 * [backup-simplify]: Simplify y into y 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify (/ y 1) into y 1.953 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.953 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.953 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.953 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.953 * [taylor]: Taking taylor expansion of 0.5 in x 1.953 * [backup-simplify]: Simplify 0.5 into 0.5 1.953 * [taylor]: Taking taylor expansion of (/ y x) in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.953 * [backup-simplify]: Simplify y into y 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify (/ y 1) into y 1.953 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.953 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.953 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.953 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 1.954 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.954 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.954 * [taylor]: Taking taylor expansion of 0.5 in y 1.954 * [backup-simplify]: Simplify 0.5 into 0.5 1.954 * [taylor]: Taking taylor expansion of (/ y x) in y 1.954 * [taylor]: Taking taylor expansion of y in y 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [taylor]: Taking taylor expansion of x in y 1.954 * [backup-simplify]: Simplify x into x 1.954 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.954 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.954 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.954 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.954 * [taylor]: Taking taylor expansion of 0.5 in y 1.954 * [backup-simplify]: Simplify 0.5 into 0.5 1.954 * [taylor]: Taking taylor expansion of (/ y x) in y 1.954 * [taylor]: Taking taylor expansion of y in y 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [taylor]: Taking taylor expansion of x in y 1.954 * [backup-simplify]: Simplify x into x 1.954 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.954 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.954 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.955 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.955 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 1.955 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.955 * [taylor]: Taking taylor expansion of 0 in y 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.957 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.957 * [backup-simplify]: Simplify (+ 0) into 0 1.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.959 * [taylor]: Taking taylor expansion of 0 in y 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.960 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.961 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1.961 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 1.962 * [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))) 1.962 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 1.963 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.963 * [taylor]: Taking taylor expansion of 0 in y 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.964 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.965 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.965 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.965 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.966 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.967 * [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 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.967 * [taylor]: Taking taylor expansion of 0 in y 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 1.968 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 1.968 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 1.968 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 1.968 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.968 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.968 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.968 * [taylor]: Taking taylor expansion of 0.5 in y 1.968 * [backup-simplify]: Simplify 0.5 into 0.5 1.968 * [taylor]: Taking taylor expansion of (/ y x) in y 1.968 * [taylor]: Taking taylor expansion of y in y 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of x in y 1.968 * [backup-simplify]: Simplify x into x 1.968 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.968 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.968 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.968 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.968 * [taylor]: Taking taylor expansion of 0.5 in y 1.968 * [backup-simplify]: Simplify 0.5 into 0.5 1.968 * [taylor]: Taking taylor expansion of (/ y x) in y 1.968 * [taylor]: Taking taylor expansion of y in y 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of x in y 1.968 * [backup-simplify]: Simplify x into x 1.968 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.968 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.969 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.969 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.969 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.969 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.969 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.969 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.969 * [taylor]: Taking taylor expansion of 0.5 in x 1.969 * [backup-simplify]: Simplify 0.5 into 0.5 1.969 * [taylor]: Taking taylor expansion of (/ y x) in x 1.969 * [taylor]: Taking taylor expansion of y in x 1.969 * [backup-simplify]: Simplify y into y 1.969 * [taylor]: Taking taylor expansion of x in x 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ y 1) into y 1.969 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.969 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.969 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.969 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.969 * [taylor]: Taking taylor expansion of 0.5 in x 1.969 * [backup-simplify]: Simplify 0.5 into 0.5 1.969 * [taylor]: Taking taylor expansion of (/ y x) in x 1.969 * [taylor]: Taking taylor expansion of y in x 1.969 * [backup-simplify]: Simplify y into y 1.969 * [taylor]: Taking taylor expansion of x in x 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ y 1) into y 1.969 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.969 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.970 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.970 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.970 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.970 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.970 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.970 * [taylor]: Taking taylor expansion of 0.5 in x 1.970 * [backup-simplify]: Simplify 0.5 into 0.5 1.970 * [taylor]: Taking taylor expansion of (/ y x) in x 1.970 * [taylor]: Taking taylor expansion of y in x 1.970 * [backup-simplify]: Simplify y into y 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ y 1) into y 1.970 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.970 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.970 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.970 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.970 * [taylor]: Taking taylor expansion of 0.5 in x 1.970 * [backup-simplify]: Simplify 0.5 into 0.5 1.970 * [taylor]: Taking taylor expansion of (/ y x) in x 1.970 * [taylor]: Taking taylor expansion of y in x 1.970 * [backup-simplify]: Simplify y into y 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ y 1) into y 1.970 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.970 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.971 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.971 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 1.971 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.971 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.971 * [taylor]: Taking taylor expansion of 0.5 in y 1.971 * [backup-simplify]: Simplify 0.5 into 0.5 1.971 * [taylor]: Taking taylor expansion of (/ y x) in y 1.971 * [taylor]: Taking taylor expansion of y in y 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [taylor]: Taking taylor expansion of x in y 1.971 * [backup-simplify]: Simplify x into x 1.971 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.971 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.971 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.971 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.971 * [taylor]: Taking taylor expansion of 0.5 in y 1.971 * [backup-simplify]: Simplify 0.5 into 0.5 1.971 * [taylor]: Taking taylor expansion of (/ y x) in y 1.971 * [taylor]: Taking taylor expansion of y in y 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [taylor]: Taking taylor expansion of x in y 1.971 * [backup-simplify]: Simplify x into x 1.971 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.971 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.971 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.971 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 1.972 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.972 * [taylor]: Taking taylor expansion of 0 in y 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.972 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.973 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.973 * [backup-simplify]: Simplify (+ 0) into 0 1.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.974 * [taylor]: Taking taylor expansion of 0 in y 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.975 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 1.976 * [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))) 1.976 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 1.977 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.977 * [taylor]: Taking taylor expansion of 0 in y 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.980 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.980 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.981 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.982 * [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 1.982 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.983 * [taylor]: Taking taylor expansion of 0 in y 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 1.983 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.984 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 1.984 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 1.984 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 1.984 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.984 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 1.984 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 1.984 * [taylor]: Taking taylor expansion of 0.5 in y 1.984 * [backup-simplify]: Simplify 0.5 into 0.5 1.984 * [taylor]: Taking taylor expansion of (/ x y) in y 1.984 * [taylor]: Taking taylor expansion of x in y 1.984 * [backup-simplify]: Simplify x into x 1.984 * [taylor]: Taking taylor expansion of y in y 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (/ x 1) into x 1.984 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.984 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 1.984 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 1.984 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 1.984 * [taylor]: Taking taylor expansion of 0.5 in y 1.984 * [backup-simplify]: Simplify 0.5 into 0.5 1.984 * [taylor]: Taking taylor expansion of (/ x y) in y 1.984 * [taylor]: Taking taylor expansion of x in y 1.984 * [backup-simplify]: Simplify x into x 1.984 * [taylor]: Taking taylor expansion of y in y 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (/ x 1) into x 1.984 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.984 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 1.984 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.984 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 1.984 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.984 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 1.985 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.985 * [taylor]: Taking taylor expansion of 0.5 in x 1.985 * [backup-simplify]: Simplify 0.5 into 0.5 1.985 * [taylor]: Taking taylor expansion of (/ x y) in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [taylor]: Taking taylor expansion of y in x 1.985 * [backup-simplify]: Simplify y into y 1.985 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.985 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.985 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 1.985 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.985 * [taylor]: Taking taylor expansion of 0.5 in x 1.985 * [backup-simplify]: Simplify 0.5 into 0.5 1.985 * [taylor]: Taking taylor expansion of (/ x y) in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [taylor]: Taking taylor expansion of y in x 1.985 * [backup-simplify]: Simplify y into y 1.985 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.985 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 1.985 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 1.985 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 1.985 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.985 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 1.985 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.985 * [taylor]: Taking taylor expansion of 0.5 in x 1.985 * [backup-simplify]: Simplify 0.5 into 0.5 1.985 * [taylor]: Taking taylor expansion of (/ x y) in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [taylor]: Taking taylor expansion of y in x 1.985 * [backup-simplify]: Simplify y into y 1.985 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.985 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.985 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 1.986 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.986 * [taylor]: Taking taylor expansion of 0.5 in x 1.986 * [backup-simplify]: Simplify 0.5 into 0.5 1.986 * [taylor]: Taking taylor expansion of (/ x y) in x 1.986 * [taylor]: Taking taylor expansion of x in x 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [taylor]: Taking taylor expansion of y in x 1.986 * [backup-simplify]: Simplify y into y 1.986 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.986 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.986 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 1.986 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 1.986 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 1.986 * [taylor]: Taking taylor expansion of 0.5 in y 1.986 * [backup-simplify]: Simplify 0.5 into 0.5 1.986 * [taylor]: Taking taylor expansion of y in y 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 1.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 1.988 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.988 * [backup-simplify]: Simplify (+ 0) into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 1.989 * [taylor]: Taking taylor expansion of 0 in y 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.990 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.991 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1.991 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 1.992 * [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))) 1.992 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 1.992 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 1.992 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.992 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.992 * [taylor]: Taking taylor expansion of y in y 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (* 1 1) into 1 1.992 * [backup-simplify]: Simplify (* 1 1) into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 1.999 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 1.999 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.000 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.000 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.000 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.000 * [taylor]: Taking taylor expansion of 0.5 in y 2.000 * [backup-simplify]: Simplify 0.5 into 0.5 2.000 * [taylor]: Taking taylor expansion of (/ y x) in y 2.000 * [taylor]: Taking taylor expansion of y in y 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [taylor]: Taking taylor expansion of x in y 2.000 * [backup-simplify]: Simplify x into x 2.000 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.000 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.000 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.000 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.000 * [taylor]: Taking taylor expansion of 0.5 in y 2.000 * [backup-simplify]: Simplify 0.5 into 0.5 2.000 * [taylor]: Taking taylor expansion of (/ y x) in y 2.000 * [taylor]: Taking taylor expansion of y in y 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [taylor]: Taking taylor expansion of x in y 2.000 * [backup-simplify]: Simplify x into x 2.000 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.000 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.000 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.000 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.000 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.000 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.000 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.000 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.000 * [taylor]: Taking taylor expansion of 0.5 in x 2.000 * [backup-simplify]: Simplify 0.5 into 0.5 2.000 * [taylor]: Taking taylor expansion of (/ y x) in x 2.000 * [taylor]: Taking taylor expansion of y in x 2.000 * [backup-simplify]: Simplify y into y 2.000 * [taylor]: Taking taylor expansion of x in x 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (/ y 1) into y 2.001 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.001 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.001 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.001 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.001 * [taylor]: Taking taylor expansion of 0.5 in x 2.001 * [backup-simplify]: Simplify 0.5 into 0.5 2.001 * [taylor]: Taking taylor expansion of (/ y x) in x 2.001 * [taylor]: Taking taylor expansion of y in x 2.001 * [backup-simplify]: Simplify y into y 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ y 1) into y 2.001 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.001 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.001 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.001 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.001 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.001 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.001 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.001 * [taylor]: Taking taylor expansion of 0.5 in x 2.001 * [backup-simplify]: Simplify 0.5 into 0.5 2.001 * [taylor]: Taking taylor expansion of (/ y x) in x 2.001 * [taylor]: Taking taylor expansion of y in x 2.001 * [backup-simplify]: Simplify y into y 2.001 * [taylor]: Taking taylor expansion of x in x 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (/ y 1) into y 2.001 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.001 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.001 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.001 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.001 * [taylor]: Taking taylor expansion of 0.5 in x 2.001 * [backup-simplify]: Simplify 0.5 into 0.5 2.001 * [taylor]: Taking taylor expansion of (/ y x) in x 2.001 * [taylor]: Taking taylor expansion of y in x 2.002 * [backup-simplify]: Simplify y into y 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (/ y 1) into y 2.002 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.002 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.002 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.002 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.002 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.002 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.002 * [taylor]: Taking taylor expansion of 0.5 in y 2.002 * [backup-simplify]: Simplify 0.5 into 0.5 2.002 * [taylor]: Taking taylor expansion of (/ y x) in y 2.002 * [taylor]: Taking taylor expansion of y in y 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [taylor]: Taking taylor expansion of x in y 2.002 * [backup-simplify]: Simplify x into x 2.002 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.002 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.002 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.002 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.002 * [taylor]: Taking taylor expansion of 0.5 in y 2.002 * [backup-simplify]: Simplify 0.5 into 0.5 2.002 * [taylor]: Taking taylor expansion of (/ y x) in y 2.002 * [taylor]: Taking taylor expansion of y in y 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [taylor]: Taking taylor expansion of x in y 2.002 * [backup-simplify]: Simplify x into x 2.002 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.002 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.003 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.003 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.003 * [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 2.003 * [taylor]: Taking taylor expansion of 0 in y 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.004 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.004 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.004 * [backup-simplify]: Simplify (+ 0) into 0 2.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 2.005 * [taylor]: Taking taylor expansion of 0 in y 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.006 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.007 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.007 * [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))) 2.008 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.008 * [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 2.008 * [taylor]: Taking taylor expansion of 0 in y 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.009 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.010 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.010 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.011 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.012 * [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 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [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 2.012 * [taylor]: Taking taylor expansion of 0 in y 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 2.013 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 2.013 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.013 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.013 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.013 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.013 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.013 * [taylor]: Taking taylor expansion of 0.5 in y 2.013 * [backup-simplify]: Simplify 0.5 into 0.5 2.013 * [taylor]: Taking taylor expansion of (/ y x) in y 2.013 * [taylor]: Taking taylor expansion of y in y 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [taylor]: Taking taylor expansion of x in y 2.013 * [backup-simplify]: Simplify x into x 2.013 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.013 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.013 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.013 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.013 * [taylor]: Taking taylor expansion of 0.5 in y 2.013 * [backup-simplify]: Simplify 0.5 into 0.5 2.013 * [taylor]: Taking taylor expansion of (/ y x) in y 2.013 * [taylor]: Taking taylor expansion of y in y 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [taylor]: Taking taylor expansion of x in y 2.013 * [backup-simplify]: Simplify x into x 2.013 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.014 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.014 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.014 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.014 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.014 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.014 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.014 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.014 * [taylor]: Taking taylor expansion of 0.5 in x 2.014 * [backup-simplify]: Simplify 0.5 into 0.5 2.014 * [taylor]: Taking taylor expansion of (/ y x) in x 2.014 * [taylor]: Taking taylor expansion of y in x 2.014 * [backup-simplify]: Simplify y into y 2.014 * [taylor]: Taking taylor expansion of x in x 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (/ y 1) into y 2.014 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.014 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.014 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.014 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.014 * [taylor]: Taking taylor expansion of 0.5 in x 2.014 * [backup-simplify]: Simplify 0.5 into 0.5 2.014 * [taylor]: Taking taylor expansion of (/ y x) in x 2.014 * [taylor]: Taking taylor expansion of y in x 2.014 * [backup-simplify]: Simplify y into y 2.014 * [taylor]: Taking taylor expansion of x in x 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (/ y 1) into y 2.014 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.014 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.015 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.015 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.015 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.015 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.015 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.015 * [taylor]: Taking taylor expansion of 0.5 in x 2.015 * [backup-simplify]: Simplify 0.5 into 0.5 2.015 * [taylor]: Taking taylor expansion of (/ y x) in x 2.015 * [taylor]: Taking taylor expansion of y in x 2.015 * [backup-simplify]: Simplify y into y 2.015 * [taylor]: Taking taylor expansion of x in x 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (/ y 1) into y 2.015 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.015 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.015 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.015 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.015 * [taylor]: Taking taylor expansion of 0.5 in x 2.015 * [backup-simplify]: Simplify 0.5 into 0.5 2.015 * [taylor]: Taking taylor expansion of (/ y x) in x 2.015 * [taylor]: Taking taylor expansion of y in x 2.015 * [backup-simplify]: Simplify y into y 2.015 * [taylor]: Taking taylor expansion of x in x 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (/ y 1) into y 2.015 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.015 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.015 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.015 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.015 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.015 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.015 * [taylor]: Taking taylor expansion of 0.5 in y 2.015 * [backup-simplify]: Simplify 0.5 into 0.5 2.015 * [taylor]: Taking taylor expansion of (/ y x) in y 2.016 * [taylor]: Taking taylor expansion of y in y 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [taylor]: Taking taylor expansion of x in y 2.016 * [backup-simplify]: Simplify x into x 2.016 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.016 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.016 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.016 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.016 * [taylor]: Taking taylor expansion of 0.5 in y 2.016 * [backup-simplify]: Simplify 0.5 into 0.5 2.016 * [taylor]: Taking taylor expansion of (/ y x) in y 2.016 * [taylor]: Taking taylor expansion of y in y 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [taylor]: Taking taylor expansion of x in y 2.016 * [backup-simplify]: Simplify x into x 2.016 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.016 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.016 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.016 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.016 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.016 * [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 2.016 * [taylor]: Taking taylor expansion of 0 in y 2.016 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.018 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.018 * [backup-simplify]: Simplify (+ 0) into 0 2.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [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 2.019 * [taylor]: Taking taylor expansion of 0 in y 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.020 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.021 * [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))) 2.021 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.022 * [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 2.022 * [taylor]: Taking taylor expansion of 0 in y 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.024 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.024 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.024 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.025 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.026 * [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 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [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 2.027 * [taylor]: Taking taylor expansion of 0 in y 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 2.027 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.027 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 2.027 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 2.027 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 2.027 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.027 * [taylor]: Taking taylor expansion of 0.5 in y 2.027 * [backup-simplify]: Simplify 0.5 into 0.5 2.027 * [taylor]: Taking taylor expansion of (/ x y) in y 2.027 * [taylor]: Taking taylor expansion of x in y 2.027 * [backup-simplify]: Simplify x into x 2.027 * [taylor]: Taking taylor expansion of y in y 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ x 1) into x 2.027 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.028 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 2.028 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.028 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.028 * [taylor]: Taking taylor expansion of 0.5 in x 2.028 * [backup-simplify]: Simplify 0.5 into 0.5 2.028 * [taylor]: Taking taylor expansion of (/ x y) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [taylor]: Taking taylor expansion of y in x 2.028 * [backup-simplify]: Simplify y into y 2.028 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.028 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.028 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.028 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.028 * [taylor]: Taking taylor expansion of 0.5 in x 2.028 * [backup-simplify]: Simplify 0.5 into 0.5 2.028 * [taylor]: Taking taylor expansion of (/ x y) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [taylor]: Taking taylor expansion of y in x 2.028 * [backup-simplify]: Simplify y into y 2.028 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.028 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.028 * [taylor]: Taking taylor expansion of 0 in y 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.029 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 2.029 * [taylor]: Taking taylor expansion of 0.5 in y 2.029 * [backup-simplify]: Simplify 0.5 into 0.5 2.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.029 * [taylor]: Taking taylor expansion of y in y 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.031 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.031 * [taylor]: Taking taylor expansion of 0 in y 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 2.032 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 2.032 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.032 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.032 * [taylor]: Taking taylor expansion of 0.5 in y 2.032 * [backup-simplify]: Simplify 0.5 into 0.5 2.032 * [taylor]: Taking taylor expansion of (/ y x) in y 2.032 * [taylor]: Taking taylor expansion of y in y 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [taylor]: Taking taylor expansion of x in y 2.032 * [backup-simplify]: Simplify x into x 2.032 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.033 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.033 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.033 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.033 * [taylor]: Taking taylor expansion of 0.5 in x 2.033 * [backup-simplify]: Simplify 0.5 into 0.5 2.033 * [taylor]: Taking taylor expansion of (/ y x) in x 2.033 * [taylor]: Taking taylor expansion of y in x 2.033 * [backup-simplify]: Simplify y into y 2.033 * [taylor]: Taking taylor expansion of x in x 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (/ y 1) into y 2.033 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.033 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.033 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.033 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.033 * [taylor]: Taking taylor expansion of 0.5 in x 2.033 * [backup-simplify]: Simplify 0.5 into 0.5 2.033 * [taylor]: Taking taylor expansion of (/ y x) in x 2.033 * [taylor]: Taking taylor expansion of y in x 2.033 * [backup-simplify]: Simplify y into y 2.033 * [taylor]: Taking taylor expansion of x in x 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (/ y 1) into y 2.033 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.033 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.033 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.033 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.033 * [taylor]: Taking taylor expansion of 0.5 in y 2.033 * [backup-simplify]: Simplify 0.5 into 0.5 2.033 * [taylor]: Taking taylor expansion of (/ y x) in y 2.033 * [taylor]: Taking taylor expansion of y in y 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [taylor]: Taking taylor expansion of x in y 2.034 * [backup-simplify]: Simplify x into x 2.034 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.034 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [taylor]: Taking taylor expansion of 0 in y 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.034 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.034 * [taylor]: Taking taylor expansion of 0 in y 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.034 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.035 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [taylor]: Taking taylor expansion of 0 in y 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 2.035 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 2.035 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 2.035 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.035 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.035 * [taylor]: Taking taylor expansion of 0.5 in y 2.035 * [backup-simplify]: Simplify 0.5 into 0.5 2.035 * [taylor]: Taking taylor expansion of (/ y x) in y 2.035 * [taylor]: Taking taylor expansion of y in y 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [taylor]: Taking taylor expansion of x in y 2.035 * [backup-simplify]: Simplify x into x 2.036 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.036 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.036 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.036 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.036 * [taylor]: Taking taylor expansion of 0.5 in x 2.036 * [backup-simplify]: Simplify 0.5 into 0.5 2.036 * [taylor]: Taking taylor expansion of (/ y x) in x 2.036 * [taylor]: Taking taylor expansion of y in x 2.036 * [backup-simplify]: Simplify y into y 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ y 1) into y 2.036 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.036 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.036 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.036 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.036 * [taylor]: Taking taylor expansion of 0.5 in x 2.036 * [backup-simplify]: Simplify 0.5 into 0.5 2.036 * [taylor]: Taking taylor expansion of (/ y x) in x 2.036 * [taylor]: Taking taylor expansion of y in x 2.036 * [backup-simplify]: Simplify y into y 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ y 1) into y 2.036 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.036 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.036 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.036 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.036 * [taylor]: Taking taylor expansion of 0.5 in y 2.036 * [backup-simplify]: Simplify 0.5 into 0.5 2.036 * [taylor]: Taking taylor expansion of (/ y x) in y 2.036 * [taylor]: Taking taylor expansion of y in y 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [taylor]: Taking taylor expansion of x in y 2.036 * [backup-simplify]: Simplify x into x 2.036 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.036 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [taylor]: Taking taylor expansion of 0 in y 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.037 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.037 * [taylor]: Taking taylor expansion of 0 in y 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.037 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.038 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [taylor]: Taking taylor expansion of 0 in y 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 2.038 * * * [progress]: simplifying candidates 2.039 * [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 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 2.039 * * [simplify]: iteration 0: 33 enodes 2.044 * * [simplify]: iteration 1: 57 enodes 2.062 * * [simplify]: iteration 2: 131 enodes 2.098 * * [simplify]: iteration 3: 492 enodes 2.645 * * [simplify]: iteration 4: 2386 enodes 3.251 * * [simplify]: iteration complete: 5000 enodes 3.252 * * [simplify]: Extracting #0: cost 17 inf + 0 3.252 * * [simplify]: Extracting #1: cost 34 inf + 1 3.253 * * [simplify]: Extracting #2: cost 433 inf + 89 3.262 * * [simplify]: Extracting #3: cost 1224 inf + 12659 3.280 * * [simplify]: Extracting #4: cost 1107 inf + 77002 3.324 * * [simplify]: Extracting #5: cost 626 inf + 354461 3.408 * * [simplify]: Extracting #6: cost 15 inf + 803052 3.519 * * [simplify]: Extracting #7: cost 0 inf + 813462 3.593 * [simplify]: Simplified to: (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y))) (log (tan (/ x (* 2.0 y)))) (exp (tan (/ x (* 2.0 y)))) (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y)))) (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y)))) (sqrt (tan (/ x (* 2.0 y)))) (sqrt (tan (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y))) (log (tan (/ x (* 2.0 y)))) (exp (tan (/ x (* 2.0 y)))) (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y)))) (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y)))) (sqrt (tan (/ x (* 2.0 y)))) (sqrt (tan (/ x (* 2.0 y)))) (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y))) (log (tan (/ x (* 2.0 y)))) (exp (tan (/ x (* 2.0 y)))) (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y)))) (* (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y)))) (sqrt (tan (/ x (* 2.0 y)))) (sqrt (tan (/ x (* 2.0 y)))) (log (sin (/ x (* 2.0 y)))) (exp (sin (/ x (* 2.0 y)))) (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y))))) (cbrt (sin (/ x (* 2.0 y)))) (* (sin (/ x (* 2.0 y))) (* (sin (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))) (sqrt (sin (/ x (* 2.0 y)))) (sqrt (sin (/ x (* 2.0 y)))) 0 (* (/ x y) (+ 0.5 (* 0.04166666666666667 (* (/ x y) (/ x y))))) (* (/ x y) (+ 0.5 (* 0.04166666666666667 (* (/ x y) (/ x y))))) 0 (* (/ x y) (+ 0.5 (* 0.04166666666666667 (* (/ x y) (/ x y))))) (* (/ x y) (+ 0.5 (* 0.04166666666666667 (* (/ x y) (/ x y))))) 0 (* (/ x y) (+ 0.5 (* 0.04166666666666667 (* (/ x y) (/ x y))))) (* (/ x y) (+ 0.5 (* 0.04166666666666667 (* (/ x y) (/ x y))))) 0 (* (/ 0.5 y) x) (* (/ 0.5 y) x) 3.598 * * * [progress]: adding candidates to table 3.886 * * [progress]: iteration 4 / 4 3.886 * * * [progress]: picking best candidate 3.965 * * * * [pick]: Picked # 3.965 * * * [progress]: localizing error 3.985 * * * [progress]: generating rewritten candidates 3.985 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.988 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.991 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.024 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.065 * * * [progress]: generating series expansions 4.065 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 4.065 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 4.065 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 4.065 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 4.066 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.066 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.066 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.066 * [taylor]: Taking taylor expansion of 0.5 in y 4.066 * [backup-simplify]: Simplify 0.5 into 0.5 4.066 * [taylor]: Taking taylor expansion of (/ x y) in y 4.066 * [taylor]: Taking taylor expansion of x in y 4.066 * [backup-simplify]: Simplify x into x 4.066 * [taylor]: Taking taylor expansion of y in y 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.066 * [backup-simplify]: Simplify (/ x 1) into x 4.066 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.066 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.066 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 4.066 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.066 * [taylor]: Taking taylor expansion of 0.5 in y 4.066 * [backup-simplify]: Simplify 0.5 into 0.5 4.066 * [taylor]: Taking taylor expansion of (/ x y) in y 4.066 * [taylor]: Taking taylor expansion of x in y 4.066 * [backup-simplify]: Simplify x into x 4.066 * [taylor]: Taking taylor expansion of y in y 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.067 * [backup-simplify]: Simplify (/ x 1) into x 4.067 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.067 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 4.067 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.067 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.067 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.067 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.067 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.067 * [taylor]: Taking taylor expansion of 0.5 in x 4.067 * [backup-simplify]: Simplify 0.5 into 0.5 4.067 * [taylor]: Taking taylor expansion of (/ x y) in x 4.067 * [taylor]: Taking taylor expansion of x in x 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.067 * [taylor]: Taking taylor expansion of y in x 4.067 * [backup-simplify]: Simplify y into y 4.067 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.068 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.068 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.068 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.068 * [taylor]: Taking taylor expansion of 0.5 in x 4.068 * [backup-simplify]: Simplify 0.5 into 0.5 4.068 * [taylor]: Taking taylor expansion of (/ x y) in x 4.068 * [taylor]: Taking taylor expansion of x in x 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.068 * [taylor]: Taking taylor expansion of y in x 4.068 * [backup-simplify]: Simplify y into y 4.068 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.068 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.068 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.068 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.068 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.068 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.069 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.069 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.069 * [taylor]: Taking taylor expansion of 0.5 in x 4.069 * [backup-simplify]: Simplify 0.5 into 0.5 4.069 * [taylor]: Taking taylor expansion of (/ x y) in x 4.069 * [taylor]: Taking taylor expansion of x in x 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify 1 into 1 4.069 * [taylor]: Taking taylor expansion of y in x 4.069 * [backup-simplify]: Simplify y into y 4.069 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.069 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.069 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.069 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.069 * [taylor]: Taking taylor expansion of 0.5 in x 4.069 * [backup-simplify]: Simplify 0.5 into 0.5 4.069 * [taylor]: Taking taylor expansion of (/ x y) in x 4.069 * [taylor]: Taking taylor expansion of x in x 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify 1 into 1 4.069 * [taylor]: Taking taylor expansion of y in x 4.069 * [backup-simplify]: Simplify y into y 4.069 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.069 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.070 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.070 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.070 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 4.070 * [taylor]: Taking taylor expansion of 0.5 in y 4.070 * [backup-simplify]: Simplify 0.5 into 0.5 4.070 * [taylor]: Taking taylor expansion of y in y 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 4.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.073 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.073 * [backup-simplify]: Simplify (+ 0) into 0 4.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 4.074 * [taylor]: Taking taylor expansion of 0 in y 4.074 * [backup-simplify]: Simplify 0 into 0 4.074 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.075 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.076 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.077 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 4.077 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 4.078 * [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))) 4.078 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 4.078 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 4.078 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 4.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.078 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.078 * [taylor]: Taking taylor expansion of y in y 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (* 1 1) into 1 4.078 * [backup-simplify]: Simplify (* 1 1) into 1 4.078 * [backup-simplify]: Simplify (/ 1 1) into 1 4.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.083 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.083 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 4.084 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.084 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.084 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.084 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.084 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.084 * [taylor]: Taking taylor expansion of 0.5 in y 4.084 * [backup-simplify]: Simplify 0.5 into 0.5 4.085 * [taylor]: Taking taylor expansion of (/ y x) in y 4.085 * [taylor]: Taking taylor expansion of y in y 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [taylor]: Taking taylor expansion of x in y 4.085 * [backup-simplify]: Simplify x into x 4.085 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.085 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.085 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.085 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.085 * [taylor]: Taking taylor expansion of 0.5 in y 4.085 * [backup-simplify]: Simplify 0.5 into 0.5 4.085 * [taylor]: Taking taylor expansion of (/ y x) in y 4.085 * [taylor]: Taking taylor expansion of y in y 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [taylor]: Taking taylor expansion of x in y 4.085 * [backup-simplify]: Simplify x into x 4.085 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.085 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.085 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.085 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.085 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.085 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.085 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.085 * [taylor]: Taking taylor expansion of 0.5 in x 4.085 * [backup-simplify]: Simplify 0.5 into 0.5 4.085 * [taylor]: Taking taylor expansion of (/ y x) in x 4.085 * [taylor]: Taking taylor expansion of y in x 4.085 * [backup-simplify]: Simplify y into y 4.085 * [taylor]: Taking taylor expansion of x in x 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [backup-simplify]: Simplify (/ y 1) into y 4.085 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.086 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.086 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.086 * [taylor]: Taking taylor expansion of 0.5 in x 4.086 * [backup-simplify]: Simplify 0.5 into 0.5 4.086 * [taylor]: Taking taylor expansion of (/ y x) in x 4.086 * [taylor]: Taking taylor expansion of y in x 4.086 * [backup-simplify]: Simplify y into y 4.086 * [taylor]: Taking taylor expansion of x in x 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (/ y 1) into y 4.086 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.086 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.086 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.086 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.086 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.086 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.086 * [taylor]: Taking taylor expansion of 0.5 in x 4.086 * [backup-simplify]: Simplify 0.5 into 0.5 4.086 * [taylor]: Taking taylor expansion of (/ y x) in x 4.086 * [taylor]: Taking taylor expansion of y in x 4.086 * [backup-simplify]: Simplify y into y 4.086 * [taylor]: Taking taylor expansion of x in x 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (/ y 1) into y 4.086 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.086 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.086 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.086 * [taylor]: Taking taylor expansion of 0.5 in x 4.086 * [backup-simplify]: Simplify 0.5 into 0.5 4.086 * [taylor]: Taking taylor expansion of (/ y x) in x 4.086 * [taylor]: Taking taylor expansion of y in x 4.086 * [backup-simplify]: Simplify y into y 4.086 * [taylor]: Taking taylor expansion of x in x 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.087 * [backup-simplify]: Simplify (/ y 1) into y 4.087 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.087 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.087 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.087 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.087 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.087 * [taylor]: Taking taylor expansion of 0.5 in y 4.087 * [backup-simplify]: Simplify 0.5 into 0.5 4.087 * [taylor]: Taking taylor expansion of (/ y x) in y 4.087 * [taylor]: Taking taylor expansion of y in y 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [taylor]: Taking taylor expansion of x in y 4.087 * [backup-simplify]: Simplify x into x 4.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.087 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.087 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.087 * [taylor]: Taking taylor expansion of 0.5 in y 4.087 * [backup-simplify]: Simplify 0.5 into 0.5 4.087 * [taylor]: Taking taylor expansion of (/ y x) in y 4.087 * [taylor]: Taking taylor expansion of y in y 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.087 * [taylor]: Taking taylor expansion of x in y 4.087 * [backup-simplify]: Simplify x into x 4.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.087 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.087 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.087 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.088 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.088 * [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 4.088 * [taylor]: Taking taylor expansion of 0 in y 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.088 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.089 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.089 * [backup-simplify]: Simplify (+ 0) into 0 4.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [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 4.090 * [taylor]: Taking taylor expansion of 0 in y 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.091 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.091 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.091 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.092 * [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))) 4.092 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.093 * [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 4.093 * [taylor]: Taking taylor expansion of 0 in y 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.094 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.095 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.095 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.095 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.096 * [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 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [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 4.097 * [taylor]: Taking taylor expansion of 0 in y 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 4.098 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 4.098 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.098 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.098 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.098 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.098 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.098 * [taylor]: Taking taylor expansion of 0.5 in y 4.098 * [backup-simplify]: Simplify 0.5 into 0.5 4.098 * [taylor]: Taking taylor expansion of (/ y x) in y 4.098 * [taylor]: Taking taylor expansion of y in y 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [taylor]: Taking taylor expansion of x in y 4.098 * [backup-simplify]: Simplify x into x 4.098 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.098 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.098 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.098 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.098 * [taylor]: Taking taylor expansion of 0.5 in y 4.098 * [backup-simplify]: Simplify 0.5 into 0.5 4.098 * [taylor]: Taking taylor expansion of (/ y x) in y 4.098 * [taylor]: Taking taylor expansion of y in y 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [taylor]: Taking taylor expansion of x in y 4.098 * [backup-simplify]: Simplify x into x 4.098 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.098 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.098 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.098 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.098 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.098 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.099 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.099 * [taylor]: Taking taylor expansion of 0.5 in x 4.099 * [backup-simplify]: Simplify 0.5 into 0.5 4.099 * [taylor]: Taking taylor expansion of (/ y x) in x 4.099 * [taylor]: Taking taylor expansion of y in x 4.099 * [backup-simplify]: Simplify y into y 4.099 * [taylor]: Taking taylor expansion of x in x 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (/ y 1) into y 4.099 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.099 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.099 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.099 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.099 * [taylor]: Taking taylor expansion of 0.5 in x 4.099 * [backup-simplify]: Simplify 0.5 into 0.5 4.099 * [taylor]: Taking taylor expansion of (/ y x) in x 4.099 * [taylor]: Taking taylor expansion of y in x 4.099 * [backup-simplify]: Simplify y into y 4.099 * [taylor]: Taking taylor expansion of x in x 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.099 * [backup-simplify]: Simplify (/ y 1) into y 4.099 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.099 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.099 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.099 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.099 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.099 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.099 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.099 * [taylor]: Taking taylor expansion of 0.5 in x 4.099 * [backup-simplify]: Simplify 0.5 into 0.5 4.099 * [taylor]: Taking taylor expansion of (/ y x) in x 4.099 * [taylor]: Taking taylor expansion of y in x 4.099 * [backup-simplify]: Simplify y into y 4.099 * [taylor]: Taking taylor expansion of x in x 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (/ y 1) into y 4.100 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.100 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.100 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.100 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.100 * [taylor]: Taking taylor expansion of 0.5 in x 4.100 * [backup-simplify]: Simplify 0.5 into 0.5 4.100 * [taylor]: Taking taylor expansion of (/ y x) in x 4.100 * [taylor]: Taking taylor expansion of y in x 4.100 * [backup-simplify]: Simplify y into y 4.100 * [taylor]: Taking taylor expansion of x in x 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [backup-simplify]: Simplify (/ y 1) into y 4.100 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.100 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.100 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.100 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.100 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.100 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.100 * [taylor]: Taking taylor expansion of 0.5 in y 4.100 * [backup-simplify]: Simplify 0.5 into 0.5 4.100 * [taylor]: Taking taylor expansion of (/ y x) in y 4.100 * [taylor]: Taking taylor expansion of y in y 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [taylor]: Taking taylor expansion of x in y 4.100 * [backup-simplify]: Simplify x into x 4.100 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.100 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.100 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.100 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.100 * [taylor]: Taking taylor expansion of 0.5 in y 4.100 * [backup-simplify]: Simplify 0.5 into 0.5 4.100 * [taylor]: Taking taylor expansion of (/ y x) in y 4.100 * [taylor]: Taking taylor expansion of y in y 4.100 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [taylor]: Taking taylor expansion of x in y 4.101 * [backup-simplify]: Simplify x into x 4.101 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.101 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.101 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.101 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.101 * [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 4.101 * [taylor]: Taking taylor expansion of 0 in y 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.102 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.102 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.103 * [backup-simplify]: Simplify (+ 0) into 0 4.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [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 4.103 * [taylor]: Taking taylor expansion of 0 in y 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.104 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.105 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.106 * [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))) 4.106 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.106 * [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 4.106 * [taylor]: Taking taylor expansion of 0 in y 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.106 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.107 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.108 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.108 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.109 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.109 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.110 * [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 4.110 * [backup-simplify]: Simplify 0 into 0 4.111 * [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 4.111 * [taylor]: Taking taylor expansion of 0 in y 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 4.111 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 4.111 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 4.111 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 4.111 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.111 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.111 * [taylor]: Taking taylor expansion of 0.5 in y 4.111 * [backup-simplify]: Simplify 0.5 into 0.5 4.111 * [taylor]: Taking taylor expansion of (/ x y) in y 4.111 * [taylor]: Taking taylor expansion of x in y 4.111 * [backup-simplify]: Simplify x into x 4.111 * [taylor]: Taking taylor expansion of y in y 4.111 * [backup-simplify]: Simplify 0 into 0 4.111 * [backup-simplify]: Simplify 1 into 1 4.111 * [backup-simplify]: Simplify (/ x 1) into x 4.111 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.112 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.112 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.112 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.112 * [taylor]: Taking taylor expansion of 0.5 in x 4.112 * [backup-simplify]: Simplify 0.5 into 0.5 4.112 * [taylor]: Taking taylor expansion of (/ x y) in x 4.112 * [taylor]: Taking taylor expansion of x in x 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.112 * [taylor]: Taking taylor expansion of y in x 4.112 * [backup-simplify]: Simplify y into y 4.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.112 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.112 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.112 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.112 * [taylor]: Taking taylor expansion of 0.5 in x 4.112 * [backup-simplify]: Simplify 0.5 into 0.5 4.112 * [taylor]: Taking taylor expansion of (/ x y) in x 4.112 * [taylor]: Taking taylor expansion of x in x 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.112 * [taylor]: Taking taylor expansion of y in x 4.112 * [backup-simplify]: Simplify y into y 4.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.112 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.112 * [taylor]: Taking taylor expansion of 0 in y 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.112 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 4.112 * [taylor]: Taking taylor expansion of 0.5 in y 4.112 * [backup-simplify]: Simplify 0.5 into 0.5 4.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.112 * [taylor]: Taking taylor expansion of y in y 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.113 * [backup-simplify]: Simplify (/ 1 1) into 1 4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.114 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.114 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.114 * [taylor]: Taking taylor expansion of 0 in y 4.114 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 4.116 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 4.116 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.116 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.116 * [taylor]: Taking taylor expansion of 0.5 in y 4.116 * [backup-simplify]: Simplify 0.5 into 0.5 4.116 * [taylor]: Taking taylor expansion of (/ y x) in y 4.116 * [taylor]: Taking taylor expansion of y in y 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [taylor]: Taking taylor expansion of x in y 4.116 * [backup-simplify]: Simplify x into x 4.116 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.116 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.116 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.116 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.116 * [taylor]: Taking taylor expansion of 0.5 in x 4.116 * [backup-simplify]: Simplify 0.5 into 0.5 4.116 * [taylor]: Taking taylor expansion of (/ y x) in x 4.116 * [taylor]: Taking taylor expansion of y in x 4.116 * [backup-simplify]: Simplify y into y 4.116 * [taylor]: Taking taylor expansion of x in x 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [backup-simplify]: Simplify (/ y 1) into y 4.116 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.116 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.116 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.116 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.116 * [taylor]: Taking taylor expansion of 0.5 in x 4.116 * [backup-simplify]: Simplify 0.5 into 0.5 4.116 * [taylor]: Taking taylor expansion of (/ y x) in x 4.117 * [taylor]: Taking taylor expansion of y in x 4.117 * [backup-simplify]: Simplify y into y 4.117 * [taylor]: Taking taylor expansion of x in x 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 1 into 1 4.117 * [backup-simplify]: Simplify (/ y 1) into y 4.117 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.117 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.117 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.117 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.117 * [taylor]: Taking taylor expansion of 0.5 in y 4.117 * [backup-simplify]: Simplify 0.5 into 0.5 4.117 * [taylor]: Taking taylor expansion of (/ y x) in y 4.117 * [taylor]: Taking taylor expansion of y in y 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 1 into 1 4.117 * [taylor]: Taking taylor expansion of x in y 4.117 * [backup-simplify]: Simplify x into x 4.117 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.117 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [taylor]: Taking taylor expansion of 0 in y 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.117 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.117 * [taylor]: Taking taylor expansion of 0 in y 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.118 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [taylor]: Taking taylor expansion of 0 in y 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 4.119 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 4.119 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 4.119 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.119 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.119 * [taylor]: Taking taylor expansion of 0.5 in y 4.119 * [backup-simplify]: Simplify 0.5 into 0.5 4.119 * [taylor]: Taking taylor expansion of (/ y x) in y 4.119 * [taylor]: Taking taylor expansion of y in y 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [taylor]: Taking taylor expansion of x in y 4.119 * [backup-simplify]: Simplify x into x 4.119 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.119 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.119 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.119 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.119 * [taylor]: Taking taylor expansion of 0.5 in x 4.119 * [backup-simplify]: Simplify 0.5 into 0.5 4.119 * [taylor]: Taking taylor expansion of (/ y x) in x 4.119 * [taylor]: Taking taylor expansion of y in x 4.119 * [backup-simplify]: Simplify y into y 4.119 * [taylor]: Taking taylor expansion of x in x 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (/ y 1) into y 4.119 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.119 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.119 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.119 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.119 * [taylor]: Taking taylor expansion of 0.5 in x 4.119 * [backup-simplify]: Simplify 0.5 into 0.5 4.119 * [taylor]: Taking taylor expansion of (/ y x) in x 4.119 * [taylor]: Taking taylor expansion of y in x 4.119 * [backup-simplify]: Simplify y into y 4.119 * [taylor]: Taking taylor expansion of x in x 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (/ y 1) into y 4.119 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.119 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.120 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.120 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.120 * [taylor]: Taking taylor expansion of 0.5 in y 4.120 * [backup-simplify]: Simplify 0.5 into 0.5 4.120 * [taylor]: Taking taylor expansion of (/ y x) in y 4.120 * [taylor]: Taking taylor expansion of y in y 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 1 into 1 4.120 * [taylor]: Taking taylor expansion of x in y 4.120 * [backup-simplify]: Simplify x into x 4.120 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.120 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [taylor]: Taking taylor expansion of 0 in y 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.120 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.120 * [taylor]: Taking taylor expansion of 0 in y 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.121 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.121 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [taylor]: Taking taylor expansion of 0 in y 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 4.121 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.121 * [backup-simplify]: Simplify (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) into (/ (sin (* 0.5 (/ x y))) (tan (* 0.5 (/ x y)))) 4.121 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 (/ x y))) (tan (* 0.5 (/ x y)))) in (x y) around 0 4.122 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ x y))) (tan (* 0.5 (/ x y)))) in y 4.122 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.122 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.122 * [taylor]: Taking taylor expansion of 0.5 in y 4.122 * [backup-simplify]: Simplify 0.5 into 0.5 4.122 * [taylor]: Taking taylor expansion of (/ x y) in y 4.122 * [taylor]: Taking taylor expansion of x in y 4.122 * [backup-simplify]: Simplify x into x 4.122 * [taylor]: Taking taylor expansion of y in y 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (/ x 1) into x 4.122 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.122 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.122 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 4.122 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.122 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.122 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.122 * [taylor]: Taking taylor expansion of 0.5 in y 4.122 * [backup-simplify]: Simplify 0.5 into 0.5 4.122 * [taylor]: Taking taylor expansion of (/ x y) in y 4.122 * [taylor]: Taking taylor expansion of x in y 4.122 * [backup-simplify]: Simplify x into x 4.122 * [taylor]: Taking taylor expansion of y in y 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (/ x 1) into x 4.122 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.122 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.122 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 4.122 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.122 * [taylor]: Taking taylor expansion of 0.5 in y 4.122 * [backup-simplify]: Simplify 0.5 into 0.5 4.122 * [taylor]: Taking taylor expansion of (/ x y) in y 4.122 * [taylor]: Taking taylor expansion of x in y 4.122 * [backup-simplify]: Simplify x into x 4.122 * [taylor]: Taking taylor expansion of y in y 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (/ x 1) into x 4.122 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.122 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 4.123 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.123 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y))))) into (cos (* 0.5 (/ x y))) 4.123 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ x y))) (tan (* 0.5 (/ x y)))) in x 4.123 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.123 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.123 * [taylor]: Taking taylor expansion of 0.5 in x 4.123 * [backup-simplify]: Simplify 0.5 into 0.5 4.123 * [taylor]: Taking taylor expansion of (/ x y) in x 4.123 * [taylor]: Taking taylor expansion of x in x 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify 1 into 1 4.123 * [taylor]: Taking taylor expansion of y in x 4.123 * [backup-simplify]: Simplify y into y 4.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.123 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.123 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.123 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.123 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.123 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.123 * [taylor]: Taking taylor expansion of 0.5 in x 4.123 * [backup-simplify]: Simplify 0.5 into 0.5 4.123 * [taylor]: Taking taylor expansion of (/ x y) in x 4.123 * [taylor]: Taking taylor expansion of x in x 4.123 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify 1 into 1 4.123 * [taylor]: Taking taylor expansion of y in x 4.123 * [backup-simplify]: Simplify y into y 4.123 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.123 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.123 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.123 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.123 * [taylor]: Taking taylor expansion of 0.5 in x 4.123 * [backup-simplify]: Simplify 0.5 into 0.5 4.123 * [taylor]: Taking taylor expansion of (/ x y) in x 4.123 * [taylor]: Taking taylor expansion of x in x 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * [taylor]: Taking taylor expansion of y in x 4.124 * [backup-simplify]: Simplify y into y 4.124 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.124 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.124 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.124 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) (/ 0.5 y)) into 1.0 4.124 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ x y))) (tan (* 0.5 (/ x y)))) in x 4.124 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.124 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.124 * [taylor]: Taking taylor expansion of 0.5 in x 4.124 * [backup-simplify]: Simplify 0.5 into 0.5 4.124 * [taylor]: Taking taylor expansion of (/ x y) in x 4.124 * [taylor]: Taking taylor expansion of x in x 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.124 * [taylor]: Taking taylor expansion of y in x 4.124 * [backup-simplify]: Simplify y into y 4.124 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.124 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.124 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.124 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.124 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.124 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.124 * [taylor]: Taking taylor expansion of 0.5 in x 4.124 * [backup-simplify]: Simplify 0.5 into 0.5 4.124 * [taylor]: Taking taylor expansion of (/ x y) in x 4.124 * [taylor]: Taking taylor expansion of x in x 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.125 * [taylor]: Taking taylor expansion of y in x 4.125 * [backup-simplify]: Simplify y into y 4.125 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.125 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.125 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.125 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.125 * [taylor]: Taking taylor expansion of 0.5 in x 4.125 * [backup-simplify]: Simplify 0.5 into 0.5 4.125 * [taylor]: Taking taylor expansion of (/ x y) in x 4.125 * [taylor]: Taking taylor expansion of x in x 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.125 * [taylor]: Taking taylor expansion of y in x 4.125 * [backup-simplify]: Simplify y into y 4.125 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.125 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.125 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.125 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.125 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) (/ 0.5 y)) into 1.0 4.125 * [taylor]: Taking taylor expansion of 1.0 in y 4.125 * [backup-simplify]: Simplify 1.0 into 1.0 4.125 * [backup-simplify]: Simplify 1.0 into 1.0 4.125 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.126 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.127 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.127 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.128 * [backup-simplify]: Simplify (+ 0) into 0 4.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 4.128 * [backup-simplify]: Simplify (- (/ 0 (/ 0.5 y)) (+ (* 1.0 (/ 0 (/ 0.5 y))))) into 0 4.128 * [taylor]: Taking taylor expansion of 0 in y 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.129 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.130 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 4.130 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.130 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 4.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 4.132 * [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))) 4.132 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) (/ 0.5 y)) (+ (* 1.0 (/ (* 0.04166666666666667 (/ 1 (pow y 3))) (/ 0.5 y))) (* 0 (/ 0 (/ 0.5 y))))) into (- (* 0.125 (/ 1 (pow y 2)))) 4.132 * [taylor]: Taking taylor expansion of (- (* 0.125 (/ 1 (pow y 2)))) in y 4.132 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 4.132 * [taylor]: Taking taylor expansion of 0.125 in y 4.132 * [backup-simplify]: Simplify 0.125 into 0.125 4.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.132 * [taylor]: Taking taylor expansion of y in y 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (* 1 1) into 1 4.133 * [backup-simplify]: Simplify (/ 1 1) into 1 4.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 4.135 * [backup-simplify]: Simplify (- 0) into 0 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 4.137 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.137 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.138 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 4.139 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.139 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.139 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.140 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.141 * [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 4.141 * [backup-simplify]: Simplify (- (/ 0 (/ 0.5 y)) (+ (* 1.0 (/ 0 (/ 0.5 y))) (* 0 (/ (* 0.04166666666666667 (/ 1 (pow y 3))) (/ 0.5 y))) (* (- (* 0.125 (/ 1 (pow y 2)))) (/ 0 (/ 0.5 y))))) into 0 4.141 * [taylor]: Taking taylor expansion of 0 in y 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 1.0 into 1.0 4.142 * [backup-simplify]: Simplify (/ (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) (tan (/ (/ 1 x) (* (/ 1 y) 2.0)))) into (/ (sin (* 0.5 (/ y x))) (tan (* 0.5 (/ y x)))) 4.142 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (tan (* 0.5 (/ y x)))) in (x y) around 0 4.142 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (tan (* 0.5 (/ y x)))) in y 4.142 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.142 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.142 * [taylor]: Taking taylor expansion of 0.5 in y 4.142 * [backup-simplify]: Simplify 0.5 into 0.5 4.142 * [taylor]: Taking taylor expansion of (/ y x) in y 4.142 * [taylor]: Taking taylor expansion of y in y 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [taylor]: Taking taylor expansion of x in y 4.142 * [backup-simplify]: Simplify x into x 4.142 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.142 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.142 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.142 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.142 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.142 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.142 * [taylor]: Taking taylor expansion of 0.5 in y 4.142 * [backup-simplify]: Simplify 0.5 into 0.5 4.142 * [taylor]: Taking taylor expansion of (/ y x) in y 4.142 * [taylor]: Taking taylor expansion of y in y 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [taylor]: Taking taylor expansion of x in y 4.142 * [backup-simplify]: Simplify x into x 4.142 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.142 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.142 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.142 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.142 * [taylor]: Taking taylor expansion of 0.5 in y 4.142 * [backup-simplify]: Simplify 0.5 into 0.5 4.142 * [taylor]: Taking taylor expansion of (/ y x) in y 4.142 * [taylor]: Taking taylor expansion of y in y 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [taylor]: Taking taylor expansion of x in y 4.142 * [backup-simplify]: Simplify x into x 4.142 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.143 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.143 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.143 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.143 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) (/ 0.5 x)) into 1.0 4.143 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (tan (* 0.5 (/ y x)))) in x 4.143 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.143 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.143 * [taylor]: Taking taylor expansion of 0.5 in x 4.143 * [backup-simplify]: Simplify 0.5 into 0.5 4.143 * [taylor]: Taking taylor expansion of (/ y x) in x 4.143 * [taylor]: Taking taylor expansion of y in x 4.143 * [backup-simplify]: Simplify y into y 4.143 * [taylor]: Taking taylor expansion of x in x 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.143 * [backup-simplify]: Simplify (/ y 1) into y 4.143 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.143 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.143 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.143 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.143 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.143 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.143 * [taylor]: Taking taylor expansion of 0.5 in x 4.143 * [backup-simplify]: Simplify 0.5 into 0.5 4.143 * [taylor]: Taking taylor expansion of (/ y x) in x 4.143 * [taylor]: Taking taylor expansion of y in x 4.143 * [backup-simplify]: Simplify y into y 4.143 * [taylor]: Taking taylor expansion of x in x 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (/ y 1) into y 4.144 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.144 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.144 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.144 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.144 * [taylor]: Taking taylor expansion of 0.5 in x 4.144 * [backup-simplify]: Simplify 0.5 into 0.5 4.144 * [taylor]: Taking taylor expansion of (/ y x) in x 4.144 * [taylor]: Taking taylor expansion of y in x 4.144 * [backup-simplify]: Simplify y into y 4.144 * [taylor]: Taking taylor expansion of x in x 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (/ y 1) into y 4.144 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.144 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.144 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.144 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))) into (cos (* 0.5 (/ y x))) 4.144 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (tan (* 0.5 (/ y x)))) in x 4.144 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.144 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.144 * [taylor]: Taking taylor expansion of 0.5 in x 4.144 * [backup-simplify]: Simplify 0.5 into 0.5 4.144 * [taylor]: Taking taylor expansion of (/ y x) in x 4.144 * [taylor]: Taking taylor expansion of y in x 4.144 * [backup-simplify]: Simplify y into y 4.144 * [taylor]: Taking taylor expansion of x in x 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (/ y 1) into y 4.144 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.145 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.145 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.145 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.145 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.145 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.145 * [taylor]: Taking taylor expansion of 0.5 in x 4.145 * [backup-simplify]: Simplify 0.5 into 0.5 4.145 * [taylor]: Taking taylor expansion of (/ y x) in x 4.145 * [taylor]: Taking taylor expansion of y in x 4.145 * [backup-simplify]: Simplify y into y 4.145 * [taylor]: Taking taylor expansion of x in x 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (/ y 1) into y 4.145 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.145 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.145 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.145 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.145 * [taylor]: Taking taylor expansion of 0.5 in x 4.145 * [backup-simplify]: Simplify 0.5 into 0.5 4.145 * [taylor]: Taking taylor expansion of (/ y x) in x 4.145 * [taylor]: Taking taylor expansion of y in x 4.145 * [backup-simplify]: Simplify y into y 4.145 * [taylor]: Taking taylor expansion of x in x 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (/ y 1) into y 4.145 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.145 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.145 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.146 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))) into (cos (* 0.5 (/ y x))) 4.146 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.146 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.146 * [taylor]: Taking taylor expansion of 0.5 in y 4.146 * [backup-simplify]: Simplify 0.5 into 0.5 4.146 * [taylor]: Taking taylor expansion of (/ y x) in y 4.146 * [taylor]: Taking taylor expansion of y in y 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [taylor]: Taking taylor expansion of x in y 4.146 * [backup-simplify]: Simplify x into x 4.146 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.146 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [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 4.146 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))) (+ (* (cos (* 0.5 (/ y x))) (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))))) into 0 4.146 * [taylor]: Taking taylor expansion of 0 in y 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify (+ 0) into 0 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [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 4.148 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))) (+ (* (cos (* 0.5 (/ y x))) (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))) (* 0 (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))))) into 0 4.148 * [taylor]: Taking taylor expansion of 0 in y 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.148 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow x 2)))) into (- (* 0.125 (/ 1 (pow x 2)))) 4.149 * [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 4.149 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))) (+ (* (cos (* 0.5 (/ y x))) (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))) (* 0 (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))) (* 0 (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))))) into 0 4.149 * [taylor]: Taking taylor expansion of 0 in y 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.152 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.153 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.154 * [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 4.154 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))) (+ (* (cos (* 0.5 (/ y x))) (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))) (* 0 (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))) (* 0 (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))) (* 0 (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))))) into 0 4.154 * [taylor]: Taking taylor expansion of 0 in y 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ 1 (pow (/ 1 x) 2)))) (pow (* (/ 1 y) 1) 2)) 1) into (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))) 4.155 * [backup-simplify]: Simplify (/ (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) into (/ (sin (* 0.5 (/ y x))) (tan (* 0.5 (/ y x)))) 4.155 * [approximate]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (tan (* 0.5 (/ y x)))) in (x y) around 0 4.155 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (tan (* 0.5 (/ y x)))) in y 4.155 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.155 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.155 * [taylor]: Taking taylor expansion of 0.5 in y 4.155 * [backup-simplify]: Simplify 0.5 into 0.5 4.155 * [taylor]: Taking taylor expansion of (/ y x) in y 4.155 * [taylor]: Taking taylor expansion of y in y 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [taylor]: Taking taylor expansion of x in y 4.155 * [backup-simplify]: Simplify x into x 4.155 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.155 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.155 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.155 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.155 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.155 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.155 * [taylor]: Taking taylor expansion of 0.5 in y 4.155 * [backup-simplify]: Simplify 0.5 into 0.5 4.155 * [taylor]: Taking taylor expansion of (/ y x) in y 4.155 * [taylor]: Taking taylor expansion of y in y 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 1 into 1 4.156 * [taylor]: Taking taylor expansion of x in y 4.156 * [backup-simplify]: Simplify x into x 4.156 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.156 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.156 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.156 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.156 * [taylor]: Taking taylor expansion of 0.5 in y 4.156 * [backup-simplify]: Simplify 0.5 into 0.5 4.156 * [taylor]: Taking taylor expansion of (/ y x) in y 4.156 * [taylor]: Taking taylor expansion of y in y 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 1 into 1 4.156 * [taylor]: Taking taylor expansion of x in y 4.156 * [backup-simplify]: Simplify x into x 4.156 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.156 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.156 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.156 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.156 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) (/ 0.5 x)) into 1.0 4.156 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (tan (* 0.5 (/ y x)))) in x 4.156 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.156 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.156 * [taylor]: Taking taylor expansion of 0.5 in x 4.156 * [backup-simplify]: Simplify 0.5 into 0.5 4.156 * [taylor]: Taking taylor expansion of (/ y x) in x 4.156 * [taylor]: Taking taylor expansion of y in x 4.156 * [backup-simplify]: Simplify y into y 4.156 * [taylor]: Taking taylor expansion of x in x 4.156 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify 1 into 1 4.157 * [backup-simplify]: Simplify (/ y 1) into y 4.157 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.157 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.157 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.157 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.157 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.157 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.157 * [taylor]: Taking taylor expansion of 0.5 in x 4.157 * [backup-simplify]: Simplify 0.5 into 0.5 4.157 * [taylor]: Taking taylor expansion of (/ y x) in x 4.157 * [taylor]: Taking taylor expansion of y in x 4.157 * [backup-simplify]: Simplify y into y 4.157 * [taylor]: Taking taylor expansion of x in x 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 1 into 1 4.157 * [backup-simplify]: Simplify (/ y 1) into y 4.157 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.157 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.157 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.157 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.157 * [taylor]: Taking taylor expansion of 0.5 in x 4.157 * [backup-simplify]: Simplify 0.5 into 0.5 4.157 * [taylor]: Taking taylor expansion of (/ y x) in x 4.157 * [taylor]: Taking taylor expansion of y in x 4.157 * [backup-simplify]: Simplify y into y 4.157 * [taylor]: Taking taylor expansion of x in x 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 1 into 1 4.157 * [backup-simplify]: Simplify (/ y 1) into y 4.157 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.157 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.157 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.158 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))) into (cos (* 0.5 (/ y x))) 4.158 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (tan (* 0.5 (/ y x)))) in x 4.158 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.158 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.158 * [taylor]: Taking taylor expansion of 0.5 in x 4.158 * [backup-simplify]: Simplify 0.5 into 0.5 4.158 * [taylor]: Taking taylor expansion of (/ y x) in x 4.158 * [taylor]: Taking taylor expansion of y in x 4.158 * [backup-simplify]: Simplify y into y 4.158 * [taylor]: Taking taylor expansion of x in x 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify 1 into 1 4.158 * [backup-simplify]: Simplify (/ y 1) into y 4.158 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.158 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.158 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.158 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.158 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.158 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.158 * [taylor]: Taking taylor expansion of 0.5 in x 4.158 * [backup-simplify]: Simplify 0.5 into 0.5 4.158 * [taylor]: Taking taylor expansion of (/ y x) in x 4.158 * [taylor]: Taking taylor expansion of y in x 4.158 * [backup-simplify]: Simplify y into y 4.158 * [taylor]: Taking taylor expansion of x in x 4.158 * [backup-simplify]: Simplify 0 into 0 4.158 * [backup-simplify]: Simplify 1 into 1 4.158 * [backup-simplify]: Simplify (/ y 1) into y 4.158 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.158 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.158 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.158 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.158 * [taylor]: Taking taylor expansion of 0.5 in x 4.158 * [backup-simplify]: Simplify 0.5 into 0.5 4.158 * [taylor]: Taking taylor expansion of (/ y x) in x 4.158 * [taylor]: Taking taylor expansion of y in x 4.158 * [backup-simplify]: Simplify y into y 4.158 * [taylor]: Taking taylor expansion of x in x 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 1 into 1 4.159 * [backup-simplify]: Simplify (/ y 1) into y 4.159 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.159 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.159 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.159 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))) into (cos (* 0.5 (/ y x))) 4.159 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.159 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.159 * [taylor]: Taking taylor expansion of 0.5 in y 4.159 * [backup-simplify]: Simplify 0.5 into 0.5 4.159 * [taylor]: Taking taylor expansion of (/ y x) in y 4.159 * [taylor]: Taking taylor expansion of y in y 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 1 into 1 4.159 * [taylor]: Taking taylor expansion of x in y 4.159 * [backup-simplify]: Simplify x into x 4.159 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.159 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.159 * [backup-simplify]: Simplify 1 into 1 4.160 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 4.160 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))) (+ (* (cos (* 0.5 (/ y x))) (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))))) into 0 4.160 * [taylor]: Taking taylor expansion of 0 in y 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify (+ 0) into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [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 4.161 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))) (+ (* (cos (* 0.5 (/ y x))) (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))) (* 0 (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))))) into 0 4.161 * [taylor]: Taking taylor expansion of 0 in y 4.161 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.162 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (pow x 2)))) into (- (* 0.125 (/ 1 (pow x 2)))) 4.162 * [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 4.163 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))) (+ (* (cos (* 0.5 (/ y x))) (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))) (* 0 (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))) (* 0 (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))))) into 0 4.163 * [taylor]: Taking taylor expansion of 0 in y 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.164 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.165 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 4.166 * [backup-simplify]: Simplify (- (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x))))) (+ (* (cos (* 0.5 (/ y x))) (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))) (* 0 (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))) (* 0 (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))) (* 0 (/ 0 (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))))))) into 0 4.166 * [taylor]: Taking taylor expansion of 0 in y 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (/ 1 (pow (/ 1 (- x)) 2)))) (pow (* (/ 1 (- y)) 1) 2)) 1) into (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))) 4.166 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.167 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))) into (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 4.167 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0 4.167 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 4.167 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 4.167 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.167 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.167 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.167 * [taylor]: Taking taylor expansion of 0.5 in y 4.167 * [backup-simplify]: Simplify 0.5 into 0.5 4.167 * [taylor]: Taking taylor expansion of (/ x y) in y 4.167 * [taylor]: Taking taylor expansion of x in y 4.167 * [backup-simplify]: Simplify x into x 4.167 * [taylor]: Taking taylor expansion of y in y 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (/ x 1) into x 4.167 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.167 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.167 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 4.167 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.167 * [taylor]: Taking taylor expansion of 0.5 in y 4.167 * [backup-simplify]: Simplify 0.5 into 0.5 4.167 * [taylor]: Taking taylor expansion of (/ x y) in y 4.167 * [taylor]: Taking taylor expansion of x in y 4.167 * [backup-simplify]: Simplify x into x 4.167 * [taylor]: Taking taylor expansion of y in y 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (/ x 1) into x 4.167 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.167 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 4.167 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.167 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.167 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.167 * [taylor]: Taking taylor expansion of 0.5 in y 4.168 * [backup-simplify]: Simplify 0.5 into 0.5 4.168 * [taylor]: Taking taylor expansion of (/ x y) in y 4.168 * [taylor]: Taking taylor expansion of x in y 4.168 * [backup-simplify]: Simplify x into x 4.168 * [taylor]: Taking taylor expansion of y in y 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [backup-simplify]: Simplify (/ x 1) into x 4.168 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.168 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.168 * [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)))) 4.168 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 4.168 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.168 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.168 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.168 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.168 * [taylor]: Taking taylor expansion of 0.5 in x 4.168 * [backup-simplify]: Simplify 0.5 into 0.5 4.168 * [taylor]: Taking taylor expansion of (/ x y) in x 4.168 * [taylor]: Taking taylor expansion of x in x 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [taylor]: Taking taylor expansion of y in x 4.168 * [backup-simplify]: Simplify y into y 4.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.168 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.168 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.168 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.168 * [taylor]: Taking taylor expansion of 0.5 in x 4.168 * [backup-simplify]: Simplify 0.5 into 0.5 4.168 * [taylor]: Taking taylor expansion of (/ x y) in x 4.168 * [taylor]: Taking taylor expansion of x in x 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [taylor]: Taking taylor expansion of y in x 4.168 * [backup-simplify]: Simplify y into y 4.168 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.168 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.169 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.169 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.169 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.169 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.169 * [taylor]: Taking taylor expansion of 0.5 in x 4.169 * [backup-simplify]: Simplify 0.5 into 0.5 4.169 * [taylor]: Taking taylor expansion of (/ x y) in x 4.169 * [taylor]: Taking taylor expansion of x in x 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [taylor]: Taking taylor expansion of y in x 4.169 * [backup-simplify]: Simplify y into y 4.169 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.169 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.169 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.169 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 4.169 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 4.169 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.169 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.169 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.169 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.169 * [taylor]: Taking taylor expansion of 0.5 in x 4.169 * [backup-simplify]: Simplify 0.5 into 0.5 4.169 * [taylor]: Taking taylor expansion of (/ x y) in x 4.169 * [taylor]: Taking taylor expansion of x in x 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 1 into 1 4.169 * [taylor]: Taking taylor expansion of y in x 4.169 * [backup-simplify]: Simplify y into y 4.169 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.169 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.170 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.170 * [taylor]: Taking taylor expansion of 0.5 in x 4.170 * [backup-simplify]: Simplify 0.5 into 0.5 4.170 * [taylor]: Taking taylor expansion of (/ x y) in x 4.170 * [taylor]: Taking taylor expansion of x in x 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [taylor]: Taking taylor expansion of y in x 4.170 * [backup-simplify]: Simplify y into y 4.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.170 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.170 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.170 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.170 * [taylor]: Taking taylor expansion of 0.5 in x 4.170 * [backup-simplify]: Simplify 0.5 into 0.5 4.170 * [taylor]: Taking taylor expansion of (/ x y) in x 4.170 * [taylor]: Taking taylor expansion of x in x 4.170 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify 1 into 1 4.170 * [taylor]: Taking taylor expansion of y in x 4.170 * [backup-simplify]: Simplify y into y 4.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.170 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.170 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.170 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 4.170 * [taylor]: Taking taylor expansion of 1.0 in y 4.170 * [backup-simplify]: Simplify 1.0 into 1.0 4.170 * [backup-simplify]: Simplify 1.0 into 1.0 4.171 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.171 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.171 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.172 * [backup-simplify]: Simplify (+ 0) into 0 4.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.173 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.173 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.173 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) into 0 4.173 * [taylor]: Taking taylor expansion of 0 in y 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.174 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.175 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 4.175 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 4.175 * [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))) 4.176 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.176 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.177 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 4.177 * [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))) 4.177 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 4.177 * [taylor]: Taking taylor expansion of 0.125 in y 4.177 * [backup-simplify]: Simplify 0.125 into 0.125 4.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.177 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.177 * [taylor]: Taking taylor expansion of y in y 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 1 into 1 4.178 * [backup-simplify]: Simplify (* 1 1) into 1 4.178 * [backup-simplify]: Simplify (/ 1 1) into 1 4.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.180 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.181 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 4.182 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.182 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.183 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.183 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.185 * [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 4.185 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.186 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 4.187 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.188 * [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 4.188 * [taylor]: Taking taylor expansion of 0 in y 4.188 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify 1.0 into 1.0 4.189 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) (tan (/ (/ 1 x) (* (/ 1 y) 2.0))))) into (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 4.189 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 4.189 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 4.189 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.189 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.189 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.189 * [taylor]: Taking taylor expansion of 0.5 in y 4.189 * [backup-simplify]: Simplify 0.5 into 0.5 4.189 * [taylor]: Taking taylor expansion of (/ y x) in y 4.189 * [taylor]: Taking taylor expansion of y in y 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify 1 into 1 4.189 * [taylor]: Taking taylor expansion of x in y 4.189 * [backup-simplify]: Simplify x into x 4.189 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.189 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.189 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.189 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.189 * [taylor]: Taking taylor expansion of 0.5 in y 4.189 * [backup-simplify]: Simplify 0.5 into 0.5 4.189 * [taylor]: Taking taylor expansion of (/ y x) in y 4.189 * [taylor]: Taking taylor expansion of y in y 4.189 * [backup-simplify]: Simplify 0 into 0 4.189 * [backup-simplify]: Simplify 1 into 1 4.189 * [taylor]: Taking taylor expansion of x in y 4.189 * [backup-simplify]: Simplify x into x 4.189 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.190 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.190 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.190 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.190 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.190 * [taylor]: Taking taylor expansion of 0.5 in y 4.190 * [backup-simplify]: Simplify 0.5 into 0.5 4.190 * [taylor]: Taking taylor expansion of (/ y x) in y 4.190 * [taylor]: Taking taylor expansion of y in y 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 1 into 1 4.190 * [taylor]: Taking taylor expansion of x in y 4.190 * [backup-simplify]: Simplify x into x 4.190 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.190 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.190 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 4.191 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 4.191 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.191 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.191 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.191 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.191 * [taylor]: Taking taylor expansion of 0.5 in x 4.191 * [backup-simplify]: Simplify 0.5 into 0.5 4.191 * [taylor]: Taking taylor expansion of (/ y x) in x 4.191 * [taylor]: Taking taylor expansion of y in x 4.191 * [backup-simplify]: Simplify y into y 4.191 * [taylor]: Taking taylor expansion of x in x 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.191 * [backup-simplify]: Simplify (/ y 1) into y 4.191 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.191 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.191 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.191 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.191 * [taylor]: Taking taylor expansion of 0.5 in x 4.191 * [backup-simplify]: Simplify 0.5 into 0.5 4.191 * [taylor]: Taking taylor expansion of (/ y x) in x 4.191 * [taylor]: Taking taylor expansion of y in x 4.191 * [backup-simplify]: Simplify y into y 4.191 * [taylor]: Taking taylor expansion of x in x 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.191 * [backup-simplify]: Simplify (/ y 1) into y 4.191 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.192 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.192 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.192 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.192 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.192 * [taylor]: Taking taylor expansion of 0.5 in x 4.192 * [backup-simplify]: Simplify 0.5 into 0.5 4.192 * [taylor]: Taking taylor expansion of (/ y x) in x 4.192 * [taylor]: Taking taylor expansion of y in x 4.192 * [backup-simplify]: Simplify y into y 4.192 * [taylor]: Taking taylor expansion of x in x 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (/ y 1) into y 4.192 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.192 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.193 * [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)))) 4.193 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 4.193 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.193 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.193 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.193 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.193 * [taylor]: Taking taylor expansion of 0.5 in x 4.193 * [backup-simplify]: Simplify 0.5 into 0.5 4.193 * [taylor]: Taking taylor expansion of (/ y x) in x 4.193 * [taylor]: Taking taylor expansion of y in x 4.193 * [backup-simplify]: Simplify y into y 4.193 * [taylor]: Taking taylor expansion of x in x 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 1 into 1 4.193 * [backup-simplify]: Simplify (/ y 1) into y 4.193 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.193 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.193 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.193 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.193 * [taylor]: Taking taylor expansion of 0.5 in x 4.193 * [backup-simplify]: Simplify 0.5 into 0.5 4.193 * [taylor]: Taking taylor expansion of (/ y x) in x 4.193 * [taylor]: Taking taylor expansion of y in x 4.193 * [backup-simplify]: Simplify y into y 4.193 * [taylor]: Taking taylor expansion of x in x 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 1 into 1 4.193 * [backup-simplify]: Simplify (/ y 1) into y 4.193 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.194 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.194 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.194 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.194 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.194 * [taylor]: Taking taylor expansion of 0.5 in x 4.194 * [backup-simplify]: Simplify 0.5 into 0.5 4.194 * [taylor]: Taking taylor expansion of (/ y x) in x 4.194 * [taylor]: Taking taylor expansion of y in x 4.194 * [backup-simplify]: Simplify y into y 4.194 * [taylor]: Taking taylor expansion of x in x 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify 1 into 1 4.194 * [backup-simplify]: Simplify (/ y 1) into y 4.194 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.194 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.195 * [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)))) 4.195 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 4.195 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.195 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.195 * [taylor]: Taking taylor expansion of 0.5 in y 4.195 * [backup-simplify]: Simplify 0.5 into 0.5 4.195 * [taylor]: Taking taylor expansion of (/ y x) in y 4.195 * [taylor]: Taking taylor expansion of y in y 4.195 * [backup-simplify]: Simplify 0 into 0 4.195 * [backup-simplify]: Simplify 1 into 1 4.195 * [taylor]: Taking taylor expansion of x in y 4.195 * [backup-simplify]: Simplify x into x 4.195 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.195 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.196 * [backup-simplify]: Simplify (/ 1 1) into 1 4.196 * [backup-simplify]: Simplify 1 into 1 4.196 * [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 4.196 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 4.197 * [taylor]: Taking taylor expansion of 0 in y 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify (+ 0) into 0 4.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.199 * [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 4.199 * [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 4.199 * [taylor]: Taking taylor expansion of 0 in y 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 4.201 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 4.201 * [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 4.202 * [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 4.202 * [taylor]: Taking taylor expansion of 0 in y 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.203 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.203 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 4.204 * [backup-simplify]: Simplify 0 into 0 4.205 * [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))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 4.205 * [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 4.205 * [taylor]: Taking taylor expansion of 0 in y 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 0 into 0 4.206 * [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) 4.206 * [backup-simplify]: Simplify (/ 1 (/ (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))))) into (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) 4.206 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 4.206 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 4.206 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.206 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.206 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.206 * [taylor]: Taking taylor expansion of 0.5 in y 4.206 * [backup-simplify]: Simplify 0.5 into 0.5 4.206 * [taylor]: Taking taylor expansion of (/ y x) in y 4.206 * [taylor]: Taking taylor expansion of y in y 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.206 * [taylor]: Taking taylor expansion of x in y 4.206 * [backup-simplify]: Simplify x into x 4.206 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.206 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.206 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.206 * [taylor]: Taking taylor expansion of 0.5 in y 4.206 * [backup-simplify]: Simplify 0.5 into 0.5 4.206 * [taylor]: Taking taylor expansion of (/ y x) in y 4.206 * [taylor]: Taking taylor expansion of y in y 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.206 * [taylor]: Taking taylor expansion of x in y 4.206 * [backup-simplify]: Simplify x into x 4.206 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.206 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.207 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.207 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.207 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.207 * [taylor]: Taking taylor expansion of 0.5 in y 4.207 * [backup-simplify]: Simplify 0.5 into 0.5 4.207 * [taylor]: Taking taylor expansion of (/ y x) in y 4.207 * [taylor]: Taking taylor expansion of y in y 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [taylor]: Taking taylor expansion of x in y 4.207 * [backup-simplify]: Simplify x into x 4.207 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.207 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.207 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.207 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 4.207 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 4.207 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.207 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.207 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.207 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.207 * [taylor]: Taking taylor expansion of 0.5 in x 4.207 * [backup-simplify]: Simplify 0.5 into 0.5 4.207 * [taylor]: Taking taylor expansion of (/ y x) in x 4.207 * [taylor]: Taking taylor expansion of y in x 4.207 * [backup-simplify]: Simplify y into y 4.207 * [taylor]: Taking taylor expansion of x in x 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify (/ y 1) into y 4.207 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.208 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.208 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.208 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.208 * [taylor]: Taking taylor expansion of 0.5 in x 4.208 * [backup-simplify]: Simplify 0.5 into 0.5 4.208 * [taylor]: Taking taylor expansion of (/ y x) in x 4.208 * [taylor]: Taking taylor expansion of y in x 4.208 * [backup-simplify]: Simplify y into y 4.208 * [taylor]: Taking taylor expansion of x in x 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (/ y 1) into y 4.208 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.208 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.208 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.208 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.208 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.208 * [taylor]: Taking taylor expansion of 0.5 in x 4.208 * [backup-simplify]: Simplify 0.5 into 0.5 4.208 * [taylor]: Taking taylor expansion of (/ y x) in x 4.208 * [taylor]: Taking taylor expansion of y in x 4.208 * [backup-simplify]: Simplify y into y 4.208 * [taylor]: Taking taylor expansion of x in x 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (/ y 1) into y 4.208 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.208 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.208 * [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)))) 4.208 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 4.208 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.209 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.209 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.209 * [taylor]: Taking taylor expansion of 0.5 in x 4.209 * [backup-simplify]: Simplify 0.5 into 0.5 4.209 * [taylor]: Taking taylor expansion of (/ y x) in x 4.209 * [taylor]: Taking taylor expansion of y in x 4.209 * [backup-simplify]: Simplify y into y 4.209 * [taylor]: Taking taylor expansion of x in x 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (/ y 1) into y 4.209 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.209 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.209 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.209 * [taylor]: Taking taylor expansion of 0.5 in x 4.209 * [backup-simplify]: Simplify 0.5 into 0.5 4.209 * [taylor]: Taking taylor expansion of (/ y x) in x 4.209 * [taylor]: Taking taylor expansion of y in x 4.209 * [backup-simplify]: Simplify y into y 4.209 * [taylor]: Taking taylor expansion of x in x 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (/ y 1) into y 4.209 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.209 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.209 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.209 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.209 * [taylor]: Taking taylor expansion of 0.5 in x 4.209 * [backup-simplify]: Simplify 0.5 into 0.5 4.209 * [taylor]: Taking taylor expansion of (/ y x) in x 4.209 * [taylor]: Taking taylor expansion of y in x 4.209 * [backup-simplify]: Simplify y into y 4.209 * [taylor]: Taking taylor expansion of x in x 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (/ y 1) into y 4.209 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.210 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.210 * [backup-simplify]: Simplify (/ (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (sin (* 0.5 (/ y x)))) into (/ 1 (cos (* 0.5 (/ y x)))) 4.210 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 4.210 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.210 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.210 * [taylor]: Taking taylor expansion of 0.5 in y 4.210 * [backup-simplify]: Simplify 0.5 into 0.5 4.210 * [taylor]: Taking taylor expansion of (/ y x) in y 4.210 * [taylor]: Taking taylor expansion of y in y 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of x in y 4.210 * [backup-simplify]: Simplify x into x 4.210 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.210 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.210 * [backup-simplify]: Simplify (/ 1 1) into 1 4.210 * [backup-simplify]: Simplify 1 into 1 4.211 * [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 4.211 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 4.211 * [taylor]: Taking taylor expansion of 0 in y 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify (+ 0) into 0 4.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [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))))))) into 0 4.212 * [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 4.212 * [taylor]: Taking taylor expansion of 0 in y 4.212 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 4.213 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 4.214 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 4.214 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))) (* 0 (/ 0 (sin (* 0.5 (/ y x))))))) into 0 4.214 * [taylor]: Taking taylor expansion of 0 in y 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.215 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.215 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.217 * [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 4.217 * [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 4.217 * [taylor]: Taking taylor expansion of 0 in y 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [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) 4.217 * * * [progress]: simplifying candidates 4.220 * [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 (sin (/ x (* y 2.0)))) (log (tan (/ x (* y 2.0))))) (log (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))) (exp (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))) (/ (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0))))) (* (cbrt (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))) (cbrt (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))) (cbrt (/ (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))) (tan (/ x (* y 2.0))))) (sqrt (/ (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)))) (- (tan (/ x (* y 2.0)))) (/ (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0)))))) (/ (cbrt (sin (/ x (* y 2.0)))) (cbrt (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))))) (/ (* 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[simplify]: iteration 1: 429 enodes 4.615 * * [simplify]: iteration 2: 2534 enodes 5.097 * * [simplify]: iteration complete: 5000 enodes 5.097 * * [simplify]: Extracting #0: cost 77 inf + 0 5.101 * * [simplify]: Extracting #1: cost 1027 inf + 4 5.110 * * [simplify]: Extracting #2: cost 1738 inf + 363 5.120 * * [simplify]: Extracting #3: cost 2103 inf + 1557 5.147 * * [simplify]: Extracting #4: cost 1890 inf + 54318 5.225 * * [simplify]: Extracting #5: cost 629 inf + 400612 5.314 * * [simplify]: Extracting #6: cost 56 inf + 591877 5.434 * * [simplify]: Extracting #7: cost 0 inf + 612207 5.576 * [simplify]: Simplified to: (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y))) (log (tan (/ x (* 2.0 y)))) (exp (tan (/ x (* 2.0 y)))) (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y)))) (* (tan (/ x (* 2.0 y))) (* (tan (/ x (* 2.0 y))) (tan (/ x (* 2.0 y))))) (sqrt (tan (/ x (* 2.0 y)))) (sqrt (tan (/ x (* 2.0 y)))) (log (sin (/ x (* 2.0 y)))) (exp (sin (/ x (* 2.0 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2.0 y))))) (* (cbrt (tan (/ x (* 2.0 y)))) (/ 1 (sin (/ x (* 2.0 y))))) (sqrt (tan (/ x (* 2.0 y)))) (/ 1 (/ (sin (/ x (* 2.0 y))) (sqrt (tan (/ x (* 2.0 y)))))) 1 (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) 1 (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (/ 1 (sin (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))) 1 (/ 1 (cos (/ x (* 2.0 y)))) (/ 1 (* (cbrt (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y))))) (cbrt (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y))))))) (/ 1 (cbrt (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))))) (/ 1 (sqrt (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))))) (/ 1 (sqrt (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))))) (/ (/ 1 (/ (cbrt (sin (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))) (/ (cbrt (sin (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))) (* (/ 1 (cbrt (sin (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y))))) (/ (* 1 (sqrt (tan (/ x (* 2.0 y))))) (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))) (/ 1 (/ (cbrt (sin (/ x (* 2.0 y)))) (sqrt (tan (/ x (* 2.0 y)))))) (* (/ 1 (cbrt (sin (/ x (* 2.0 y))))) (/ 1 (cbrt (sin (/ x (* 2.0 y)))))) (* (tan (/ x (* 2.0 y))) (/ 1 (cbrt (sin (/ x (* 2.0 y)))))) (/ 1 (/ (/ (sqrt (sin (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y)))))) (* (/ 1 (sqrt (sin (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y))))) (/ (* 1 (sqrt (tan (/ x (* 2.0 y))))) (sqrt (sin (/ x (* 2.0 y))))) (/ (* 1 (sqrt (tan (/ x (* 2.0 y))))) (sqrt (sin (/ x (* 2.0 y))))) (/ 1 (sqrt (sin (/ x (* 2.0 y))))) (/ (tan (/ x (* 2.0 y))) (sqrt (sin (/ x (* 2.0 y))))) (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (* (cbrt (tan (/ x (* 2.0 y)))) (/ 1 (sin (/ x (* 2.0 y))))) (sqrt (tan (/ x (* 2.0 y)))) (/ 1 (/ (sin (/ x (* 2.0 y))) (sqrt (tan (/ x (* 2.0 y)))))) 1 (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) 1 (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) (/ 1 (sin (/ x (* 2.0 y)))) (tan (/ x (* 2.0 y))) 1 (/ 1 (cos (/ x (* 2.0 y)))) (/ 1 (* (cbrt (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y))))) (cbrt (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y))))))) (/ 1 (cbrt (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))))) (/ 1 (sqrt (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))))) (/ 1 (sqrt (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))))) (/ (/ 1 (/ (cbrt (sin (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))) (/ (cbrt (sin (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y)))))) (* (/ 1 (cbrt (sin (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y))))) (/ (* 1 (sqrt (tan (/ x (* 2.0 y))))) (* (cbrt (sin (/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))) (/ 1 (/ (cbrt (sin (/ x (* 2.0 y)))) (sqrt (tan (/ x (* 2.0 y)))))) (* (/ 1 (cbrt (sin (/ x (* 2.0 y))))) (/ 1 (cbrt (sin (/ x (* 2.0 y)))))) (* (tan (/ x (* 2.0 y))) (/ 1 (cbrt (sin (/ x (* 2.0 y)))))) (/ 1 (/ (/ (sqrt (sin (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y)))))) (* (/ 1 (sqrt (sin (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y))))) (/ (* 1 (sqrt (tan (/ x (* 2.0 y))))) (sqrt (sin (/ x (* 2.0 y))))) (/ (* 1 (sqrt 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(/ x (* 2.0 y)))) (cbrt (sin (/ x (* 2.0 y)))))) (* (/ 1 (cbrt (sin (/ x (* 2.0 y))))) (/ 1 (cbrt (sin (/ x (* 2.0 y)))))) (/ 1 (/ (/ (sqrt (sin (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (cbrt (tan (/ x (* 2.0 y)))))) (/ (* 1 (sqrt (tan (/ x (* 2.0 y))))) (sqrt (sin (/ x (* 2.0 y))))) (/ 1 (sqrt (sin (/ x (* 2.0 y))))) (* (cbrt (tan (/ x (* 2.0 y)))) (cbrt (tan (/ x (* 2.0 y))))) (sqrt (tan (/ x (* 2.0 y)))) 1 1 (/ 1 (sin (/ x (* 2.0 y)))) 1 (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (/ (sin (/ x (* 2.0 y))) (tan (/ x (* 2.0 y)))) (/ 1 (sin (/ x (* 2.0 y)))) 0 (+ (* 0.04166666666666667 (* (* (/ x y) (/ x y)) (/ x y))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (* (* (/ x y) (/ x y)) (/ x y))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 1.0 (- 1 (* 0.125 (* (/ x y) (/ x y)))) (- 1 (* 0.125 (* (/ x y) (/ x y)))) 1.0 (+ 1 (* 0.125 (* (/ x y) (/ x y)))) (+ 1 (* 0.125 (* (/ x y) (/ x y)))) 5.591 * * * [progress]: adding candidates to table 6.336 * [progress]: [Phase 3 of 3] Extracting. 6.336 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 6.345 * * * [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) 6.345 * * * * [regimes]: Trying to branch on (* y 2.0) from (# # # # # # # # # # # # # # # # #) 6.503 * * * * [regimes]: Trying to branch on (/ x (* y 2.0)) from (# # # # # # # # # # # # # # # # #) 6.644 * * * * [regimes]: Trying to branch on (/ x (* y 2.0)) from (# # # # # # # # # # # # # #) 6.767 * * * * [regimes]: Trying to branch on (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) from (# # # # # # # # # # # # # # # # #) 6.945 * * * * [regimes]: Trying to branch on (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) from (# #) 6.983 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # # # # # #) 7.093 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # # #) 7.240 * * * [regime]: Found split indices: #