50.675 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.154 * * * [progress]: [2/2] Setting up program. 0.156 * [progress]: [Phase 2 of 3] Improving. 0.156 * [simplify]: Simplifying: (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0.157 * * [simplify]: Extracting # 0 : cost 0 0.157 * * [simplify]: Extracting # 1 : cost 0 0.157 * * [simplify]: Extracting # 2 : cost 0 0.157 * * [simplify]: Extracting # 3 : cost 0 0.157 * * [simplify]: Extracting # 4 : cost 0 0.157 * * [simplify]: Extracting # 5 : cost 0 0.157 * * [simplify]: Extracting # 6 : cost 0 0.157 * * [simplify]: iteration 0 : 8 enodes (cost 13 ) 0.158 * * [simplify]: Extracting # 0 : cost 0 0.158 * * [simplify]: Extracting # 1 : cost 0 0.158 * * [simplify]: Extracting # 2 : cost 0 0.158 * * [simplify]: iteration 1 : 11 enodes (cost 13 ) 0.161 * * [simplify]: Extracting # 0 : cost 0 0.161 * * [simplify]: Extracting # 1 : cost 0 0.161 * * [simplify]: Extracting # 2 : cost 0 0.161 * * [simplify]: iteration 2 : 13 enodes (cost 13 ) 0.164 * * [simplify]: Extracting # 0 : cost 0 0.164 * * [simplify]: iteration done: 13 enodes (cost 13 ) 0.164 * [simplify]: Simplified to: (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0.165 * * [progress]: iteration 1 / 4 0.165 * * * [progress]: picking best candidate 0.168 * * * * [pick]: Picked # 0.168 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.184 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.190 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.196 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.213 * * * [progress]: generating series expansions 0.213 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.213 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 0.213 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.213 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 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 0.214 * [backup-simplify]: Simplify (/ x 1) into x 0.214 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.214 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.214 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.214 * [taylor]: Taking taylor expansion of (* 0.5 (/ x 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 (/ x y) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [backup-simplify]: Simplify x into x 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 (/ x 1) into x 0.214 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.214 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.214 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.214 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.214 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.214 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.214 * [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 (cos (* 0.5 (/ x y))) in x 0.214 * [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 0.215 * [taylor]: Taking taylor expansion of (/ x y) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.215 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.215 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.215 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.215 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.215 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.215 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.215 * [taylor]: Taking taylor expansion of 0.5 in x 0.215 * [backup-simplify]: Simplify 0.5 into 0.5 0.215 * [taylor]: Taking taylor expansion of (/ x y) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.215 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.215 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.215 * [taylor]: Taking taylor expansion of 0.5 in x 0.215 * [backup-simplify]: Simplify 0.5 into 0.5 0.215 * [taylor]: Taking taylor expansion of (/ x y) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.215 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.216 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.216 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.216 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.216 * [taylor]: Taking taylor expansion of 0.5 in y 0.216 * [backup-simplify]: Simplify 0.5 into 0.5 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.233 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.234 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.234 * [backup-simplify]: Simplify (+ 0) into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) 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 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.238 * [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))) 0.238 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 0.238 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 0.238 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 0.246 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.246 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.246 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.246 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.246 * [taylor]: Taking taylor expansion of 0.5 in y 0.246 * [backup-simplify]: Simplify 0.5 into 0.5 0.246 * [taylor]: Taking taylor expansion of (/ y x) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [backup-simplify]: Simplify x into x 0.247 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.247 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.247 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.247 * [taylor]: Taking taylor expansion of 0.5 in y 0.247 * [backup-simplify]: Simplify 0.5 into 0.5 0.247 * [taylor]: Taking taylor expansion of (/ y x) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [backup-simplify]: Simplify x into x 0.247 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.247 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.247 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.247 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.247 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.247 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.247 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.247 * [taylor]: Taking taylor expansion of 0.5 in x 0.247 * [backup-simplify]: Simplify 0.5 into 0.5 0.247 * [taylor]: Taking taylor expansion of (/ y x) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [backup-simplify]: Simplify y into y 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ y 1) into y 0.247 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.248 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.248 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.248 * [taylor]: Taking taylor expansion of 0.5 in x 0.248 * [backup-simplify]: Simplify 0.5 into 0.5 0.248 * [taylor]: Taking taylor expansion of (/ y x) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [backup-simplify]: Simplify y into y 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ y 1) into y 0.248 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.248 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.248 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.248 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 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 x 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.248 * [taylor]: Taking taylor expansion of 0.5 in x 0.248 * [backup-simplify]: Simplify 0.5 into 0.5 0.248 * [taylor]: Taking taylor expansion of (/ y x) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [backup-simplify]: Simplify y into y 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ y 1) into y 0.248 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.248 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.248 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.248 * [taylor]: Taking taylor expansion of 0.5 in x 0.248 * [backup-simplify]: Simplify 0.5 into 0.5 0.248 * [taylor]: Taking taylor expansion of (/ y x) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [backup-simplify]: Simplify y into y 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [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 (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.249 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.249 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 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 * [taylor]: Taking taylor expansion of (cos (* 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) 0.250 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.250 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.250 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.250 * [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 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.250 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.251 * [backup-simplify]: Simplify (+ 0) into 0 0.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [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 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.254 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.254 * [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))) 0.254 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.255 * [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 0.255 * [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 0 into 0 0.255 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.257 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.259 * [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 0.259 * [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 * [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 0.260 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0.260 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 0.260 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 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 0.261 * [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 (/ 1 x)) 1) into (/ 0.5 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) 0.261 * [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 (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) 0.262 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.262 * [taylor]: Taking taylor expansion of (cos (* 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 (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)))) 0.263 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.263 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.263 * [taylor]: Taking taylor expansion of 0.5 in y 0.263 * [backup-simplify]: Simplify 0.5 into 0.5 0.263 * [taylor]: Taking taylor expansion of (/ y x) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.263 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.263 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.263 * [taylor]: Taking taylor expansion of 0.5 in y 0.263 * [backup-simplify]: Simplify 0.5 into 0.5 0.263 * [taylor]: Taking taylor expansion of (/ y x) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.263 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.263 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.263 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 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 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.265 * [backup-simplify]: Simplify (+ 0) into 0 0.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 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 * [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 (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.267 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.268 * [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))) 0.268 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.269 * [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 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.271 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.272 * [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 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0.274 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.274 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 0.274 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.274 * [taylor]: Taking taylor expansion of 0.5 in y 0.274 * [backup-simplify]: Simplify 0.5 into 0.5 0.274 * [taylor]: Taking taylor expansion of (/ x y) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [backup-simplify]: Simplify x into x 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ x 1) into x 0.274 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.274 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.274 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.274 * [taylor]: Taking taylor expansion of 0.5 in x 0.274 * [backup-simplify]: Simplify 0.5 into 0.5 0.274 * [taylor]: Taking taylor expansion of (/ x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [backup-simplify]: Simplify y into y 0.274 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.274 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.274 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.274 * [taylor]: Taking taylor expansion of 0.5 in x 0.274 * [backup-simplify]: Simplify 0.5 into 0.5 0.274 * [taylor]: Taking taylor expansion of (/ x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [backup-simplify]: Simplify y into y 0.274 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.274 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.275 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.275 * [taylor]: Taking taylor expansion of 0.5 in y 0.275 * [backup-simplify]: Simplify 0.5 into 0.5 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 0.278 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.278 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.278 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.278 * [taylor]: Taking taylor expansion of 0.5 in y 0.278 * [backup-simplify]: Simplify 0.5 into 0.5 0.278 * [taylor]: Taking taylor expansion of (/ y x) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [taylor]: Taking taylor expansion of x in y 0.279 * [backup-simplify]: Simplify x into x 0.279 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.279 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.279 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.279 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.279 * [taylor]: Taking taylor expansion of 0.5 in x 0.279 * [backup-simplify]: Simplify 0.5 into 0.5 0.279 * [taylor]: Taking taylor expansion of (/ y x) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [backup-simplify]: Simplify y into y 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ y 1) into y 0.279 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.279 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.279 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.279 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.279 * [taylor]: Taking taylor expansion of 0.5 in x 0.279 * [backup-simplify]: Simplify 0.5 into 0.5 0.279 * [taylor]: Taking taylor expansion of (/ y x) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [backup-simplify]: Simplify y into y 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ y 1) into y 0.279 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.279 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.279 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.279 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.279 * [taylor]: Taking taylor expansion of 0.5 in y 0.279 * [backup-simplify]: Simplify 0.5 into 0.5 0.279 * [taylor]: Taking taylor expansion of (/ y x) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [backup-simplify]: Simplify x into x 0.279 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.280 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.280 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 0.281 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 0.281 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.281 * [taylor]: Taking taylor expansion of 0.5 in y 0.281 * [backup-simplify]: Simplify 0.5 into 0.5 0.281 * [taylor]: Taking taylor expansion of (/ y x) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [backup-simplify]: Simplify x into x 0.281 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.281 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.281 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.281 * [taylor]: Taking taylor expansion of 0.5 in x 0.282 * [backup-simplify]: Simplify 0.5 into 0.5 0.282 * [taylor]: Taking taylor expansion of (/ y x) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [backup-simplify]: Simplify y into y 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ y 1) into y 0.282 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.282 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.282 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.282 * [taylor]: Taking taylor expansion of 0.5 in x 0.282 * [backup-simplify]: Simplify 0.5 into 0.5 0.282 * [taylor]: Taking taylor expansion of (/ y x) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [backup-simplify]: Simplify y into y 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ y 1) into y 0.282 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.282 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.282 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.282 * [taylor]: Taking taylor expansion of 0.5 in y 0.282 * [backup-simplify]: Simplify 0.5 into 0.5 0.282 * [taylor]: Taking taylor expansion of (/ y x) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [backup-simplify]: Simplify x into x 0.283 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.283 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.283 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 0.284 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.284 * [backup-simplify]: Simplify (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) into (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 0.284 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.284 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.285 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.285 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.285 * [taylor]: Taking taylor expansion of 0.5 in y 0.285 * [backup-simplify]: Simplify 0.5 into 0.5 0.285 * [taylor]: Taking taylor expansion of (/ x y) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [backup-simplify]: Simplify x into x 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ x 1) into x 0.285 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.285 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.285 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.285 * [taylor]: Taking taylor expansion of 0.5 in y 0.285 * [backup-simplify]: Simplify 0.5 into 0.5 0.285 * [taylor]: Taking taylor expansion of (/ x y) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [backup-simplify]: Simplify x into x 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ x 1) into x 0.285 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.285 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.285 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.285 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.285 * [taylor]: Taking taylor expansion of 0.5 in y 0.285 * [backup-simplify]: Simplify 0.5 into 0.5 0.285 * [taylor]: Taking taylor expansion of (/ x y) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [backup-simplify]: Simplify x into x 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ x 1) into x 0.286 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.286 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.286 * [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)))) 0.286 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.286 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.286 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.286 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.286 * [taylor]: Taking taylor expansion of 0.5 in x 0.286 * [backup-simplify]: Simplify 0.5 into 0.5 0.286 * [taylor]: Taking taylor expansion of (/ x y) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [backup-simplify]: Simplify y into y 0.286 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.286 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.286 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.286 * [taylor]: Taking taylor expansion of 0.5 in x 0.286 * [backup-simplify]: Simplify 0.5 into 0.5 0.286 * [taylor]: Taking taylor expansion of (/ x y) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [backup-simplify]: Simplify y into y 0.286 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.286 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.287 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.287 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.287 * [taylor]: Taking taylor expansion of 0.5 in x 0.287 * [backup-simplify]: Simplify 0.5 into 0.5 0.287 * [taylor]: Taking taylor expansion of (/ x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [backup-simplify]: Simplify y into y 0.287 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.287 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.287 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.287 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.287 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.287 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.287 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.287 * [taylor]: Taking taylor expansion of 0.5 in x 0.287 * [backup-simplify]: Simplify 0.5 into 0.5 0.287 * [taylor]: Taking taylor expansion of (/ x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [backup-simplify]: Simplify y into y 0.287 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.287 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.287 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.287 * [taylor]: Taking taylor expansion of 0.5 in x 0.287 * [backup-simplify]: Simplify 0.5 into 0.5 0.288 * [taylor]: Taking taylor expansion of (/ x y) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [backup-simplify]: Simplify y into y 0.288 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.288 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.288 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.288 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.288 * [taylor]: Taking taylor expansion of 0.5 in x 0.288 * [backup-simplify]: Simplify 0.5 into 0.5 0.288 * [taylor]: Taking taylor expansion of (/ x y) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [backup-simplify]: Simplify y into y 0.288 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.288 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.288 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.288 * [taylor]: Taking taylor expansion of 1.0 in y 0.288 * [backup-simplify]: Simplify 1.0 into 1.0 0.288 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.290 * [backup-simplify]: Simplify (+ 0) into 0 0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) into 0 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.293 * [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))) 0.294 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.295 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.295 * [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))) 0.295 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 0.295 * [taylor]: Taking taylor expansion of 0.125 in y 0.295 * [backup-simplify]: Simplify 0.125 into 0.125 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.299 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.300 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.300 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.302 * [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 0.302 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.304 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.304 * [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 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1.0 into 1.0 0.305 * [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)))) 0.305 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.305 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.305 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.305 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.305 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.305 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.305 * [taylor]: Taking taylor expansion of 0.5 in y 0.305 * [backup-simplify]: Simplify 0.5 into 0.5 0.305 * [taylor]: Taking taylor expansion of (/ y x) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [backup-simplify]: Simplify x into x 0.305 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.305 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.305 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.305 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.305 * [taylor]: Taking taylor expansion of 0.5 in y 0.305 * [backup-simplify]: Simplify 0.5 into 0.5 0.305 * [taylor]: Taking taylor expansion of (/ y x) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [backup-simplify]: Simplify x into x 0.305 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.305 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.305 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.305 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.305 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.306 * [taylor]: Taking taylor expansion of 0.5 in y 0.306 * [backup-simplify]: Simplify 0.5 into 0.5 0.306 * [taylor]: Taking taylor expansion of (/ y x) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [taylor]: Taking taylor expansion of x in y 0.306 * [backup-simplify]: Simplify x into x 0.306 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.306 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.306 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.306 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.306 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.306 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.306 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.306 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.306 * [taylor]: Taking taylor expansion of 0.5 in x 0.306 * [backup-simplify]: Simplify 0.5 into 0.5 0.306 * [taylor]: Taking taylor expansion of (/ y x) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [backup-simplify]: Simplify y into y 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ y 1) into y 0.306 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.306 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.306 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.306 * [taylor]: Taking taylor expansion of 0.5 in x 0.306 * [backup-simplify]: Simplify 0.5 into 0.5 0.306 * [taylor]: Taking taylor expansion of (/ y x) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [backup-simplify]: Simplify y into y 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ y 1) into y 0.307 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.307 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.307 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.307 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.307 * [taylor]: Taking taylor expansion of 0.5 in x 0.307 * [backup-simplify]: Simplify 0.5 into 0.5 0.307 * [taylor]: Taking taylor expansion of (/ y x) in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.307 * [backup-simplify]: Simplify y into y 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ y 1) into y 0.307 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.307 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.307 * [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)))) 0.307 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.307 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.307 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.307 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.307 * [taylor]: Taking taylor expansion of 0.5 in x 0.307 * [backup-simplify]: Simplify 0.5 into 0.5 0.307 * [taylor]: Taking taylor expansion of (/ y x) in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.307 * [backup-simplify]: Simplify y into y 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ y 1) into y 0.308 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.308 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.308 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.308 * [taylor]: Taking taylor expansion of 0.5 in x 0.308 * [backup-simplify]: Simplify 0.5 into 0.5 0.308 * [taylor]: Taking taylor expansion of (/ y x) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [backup-simplify]: Simplify y into y 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ y 1) into y 0.308 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.308 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.308 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.308 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.308 * [taylor]: Taking taylor expansion of 0.5 in x 0.308 * [backup-simplify]: Simplify 0.5 into 0.5 0.308 * [taylor]: Taking taylor expansion of (/ y x) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [backup-simplify]: Simplify y into y 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (/ y 1) into y 0.308 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.308 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.309 * [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)))) 0.309 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.309 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.309 * [taylor]: Taking taylor expansion of 0.5 in y 0.309 * [backup-simplify]: Simplify 0.5 into 0.5 0.309 * [taylor]: Taking taylor expansion of (/ y x) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [backup-simplify]: Simplify x into x 0.309 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.309 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [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 0.310 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.310 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ 0) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.311 * [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 0.311 * [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 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.312 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.312 * [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 0.313 * [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 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [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 0.316 * [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 0.316 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [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) 0.316 * [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)))) 0.316 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.316 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.316 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.316 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.316 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.316 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.316 * [taylor]: Taking taylor expansion of 0.5 in y 0.316 * [backup-simplify]: Simplify 0.5 into 0.5 0.316 * [taylor]: Taking taylor expansion of (/ y x) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [backup-simplify]: Simplify x into x 0.317 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.317 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.317 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.317 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.317 * [taylor]: Taking taylor expansion of 0.5 in y 0.317 * [backup-simplify]: Simplify 0.5 into 0.5 0.317 * [taylor]: Taking taylor expansion of (/ y x) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [backup-simplify]: Simplify x into x 0.317 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.317 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.317 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.317 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.317 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.317 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.317 * [taylor]: Taking taylor expansion of 0.5 in y 0.317 * [backup-simplify]: Simplify 0.5 into 0.5 0.317 * [taylor]: Taking taylor expansion of (/ y x) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [backup-simplify]: Simplify x into x 0.317 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.317 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.317 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.318 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.318 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.318 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.318 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.318 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.318 * [taylor]: Taking taylor expansion of 0.5 in x 0.318 * [backup-simplify]: Simplify 0.5 into 0.5 0.318 * [taylor]: Taking taylor expansion of (/ y x) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [backup-simplify]: Simplify y into y 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ y 1) into y 0.318 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.318 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.318 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.318 * [taylor]: Taking taylor expansion of 0.5 in x 0.318 * [backup-simplify]: Simplify 0.5 into 0.5 0.318 * [taylor]: Taking taylor expansion of (/ y x) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [backup-simplify]: Simplify y into y 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ y 1) into y 0.318 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.318 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.318 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.318 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.318 * [taylor]: Taking taylor expansion of 0.5 in x 0.318 * [backup-simplify]: Simplify 0.5 into 0.5 0.318 * [taylor]: Taking taylor expansion of (/ y x) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [backup-simplify]: Simplify y into y 0.318 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ y 1) into y 0.319 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.319 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.319 * [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)))) 0.319 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.319 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.319 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.319 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.319 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.319 * [taylor]: Taking taylor expansion of 0.5 in x 0.319 * [backup-simplify]: Simplify 0.5 into 0.5 0.319 * [taylor]: Taking taylor expansion of (/ y x) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [backup-simplify]: Simplify y into y 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ y 1) into y 0.319 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.319 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.319 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.319 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.319 * [taylor]: Taking taylor expansion of 0.5 in x 0.319 * [backup-simplify]: Simplify 0.5 into 0.5 0.319 * [taylor]: Taking taylor expansion of (/ y x) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [backup-simplify]: Simplify y into y 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ y 1) into y 0.319 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.320 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.320 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.320 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.320 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.320 * [taylor]: Taking taylor expansion of 0.5 in x 0.320 * [backup-simplify]: Simplify 0.5 into 0.5 0.320 * [taylor]: Taking taylor expansion of (/ y x) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [backup-simplify]: Simplify y into y 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ y 1) into y 0.320 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.320 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.320 * [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)))) 0.320 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.320 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.320 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.320 * [taylor]: Taking taylor expansion of 0.5 in y 0.320 * [backup-simplify]: Simplify 0.5 into 0.5 0.320 * [taylor]: Taking taylor expansion of (/ y x) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [backup-simplify]: Simplify x into x 0.320 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.320 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [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 0.321 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (+ 0) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [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 0.323 * [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 0.323 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.324 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.324 * [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 0.324 * [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 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [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 0.327 * [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 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [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) 0.328 * * * [progress]: simplifying candidates 0.329 * [simplify]: Simplifying: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (- (log (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0))))) (log (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (exp (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (* (* (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (- (tan (/ x (* y 2.0)))) (- (sin (/ x (* y 2.0)))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) 1) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ (sqrt (tan (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (sqrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (cbrt (sin (/ x (* y 2.0))))) (/ 1 (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (/ 1 1) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ 1 (sin (/ x (* y 2.0)))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) 1) (/ (sin (/ x (* y 2.0))) (cbrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (sqrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 1.0 (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.330 * * [simplify]: Extracting # 0 : cost 0 0.330 * * [simplify]: Extracting # 1 : cost 0 0.330 * * [simplify]: Extracting # 2 : cost 0 0.330 * * [simplify]: Extracting # 3 : cost 0 0.330 * * [simplify]: Extracting # 4 : cost 0 0.330 * * [simplify]: Extracting # 5 : cost 0 0.330 * * [simplify]: Extracting # 6 : cost 0 0.330 * * [simplify]: Extracting # 7 : cost 0 0.330 * * [simplify]: Extracting # 8 : cost 0 0.331 * * [simplify]: iteration 0 : 77 enodes (cost 822 ) 0.352 * * [simplify]: Extracting # 0 : cost 0 0.352 * * [simplify]: Extracting # 1 : cost 0 0.352 * * [simplify]: Extracting # 2 : cost 0 0.352 * * [simplify]: Extracting # 3 : cost 0 0.352 * * [simplify]: Extracting # 4 : cost 0 0.353 * * [simplify]: iteration 1 : 144 enodes (cost 813 ) 0.402 * * [simplify]: Extracting # 0 : cost 0 0.403 * * [simplify]: Extracting # 1 : cost 0 0.404 * * [simplify]: Extracting # 2 : cost 0 0.404 * * [simplify]: Extracting # 3 : cost 0 0.405 * * [simplify]: Extracting # 4 : cost 0 0.406 * * [simplify]: iteration 2 : 491 enodes (cost 739 ) 0.685 * * [simplify]: Extracting # 0 : cost 0 0.689 * * [simplify]: Extracting # 1 : cost 0 0.693 * * [simplify]: Extracting # 2 : cost 0 0.697 * * [simplify]: Extracting # 3 : cost 0 0.701 * * [simplify]: Extracting # 4 : cost 0 0.708 * * [simplify]: iteration 3 : 3059 enodes (cost 737 ) 1.508 * * [simplify]: Extracting # 0 : cost 0 1.517 * * [simplify]: Extracting # 1 : cost 0 1.528 * * [simplify]: Extracting # 2 : cost 0 1.539 * * [simplify]: iteration done: 5000 enodes (cost 737 ) 1.540 * [simplify]: Simplified to: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (pow (sin (/ x (* y 2.0))) 3) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (log (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (log (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (exp (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (- (tan (/ x (* y 2.0)))) (- (sin (/ x (* y 2.0)))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ (sqrt (tan (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (sqrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (sqrt (tan (/ x (* y 2.0)))) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (cbrt (sin (/ x (* y 2.0))))) (/ 1 (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) 1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ 1 (sin (/ x (* y 2.0)))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (tan (/ x (* y 2.0))) (/ (sin (/ x (* y 2.0))) (cbrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (sqrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 1.0 (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 1.540 * * * [progress]: adding candidates to table 1.733 * * [progress]: iteration 2 / 4 1.733 * * * [progress]: picking best candidate 1.766 * * * * [pick]: Picked # 1.766 * * * [progress]: localizing error 1.767 * * * [progress]: generating rewritten candidates 1.767 * * * [progress]: generating series expansions 1.767 * * * [progress]: simplifying candidates 1.767 * [simplify]: Simplifying: 1.767 * * [simplify]: Extracting # 0 : cost 0 1.767 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.767 * * [simplify]: Extracting # 0 : cost 0 1.767 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.767 * [simplify]: Simplified to: 1.767 * * * [progress]: adding candidates to table 1.767 * * [progress]: iteration 3 / 4 1.767 * * * [progress]: picking best candidate 1.802 * * * * [pick]: Picked # 1.802 * * * [progress]: localizing error 1.829 * * * [progress]: generating rewritten candidates 1.829 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.833 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 1.837 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.841 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.849 * * * [progress]: generating series expansions 1.849 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.849 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 1.850 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 1.850 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 1.850 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.850 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 1.850 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 1.850 * [taylor]: Taking taylor expansion of 0.5 in y 1.850 * [backup-simplify]: Simplify 0.5 into 0.5 1.850 * [taylor]: Taking taylor expansion of (/ x y) in y 1.850 * [taylor]: Taking taylor expansion of x in y 1.850 * [backup-simplify]: Simplify x into x 1.850 * [taylor]: Taking taylor expansion of y in y 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ x 1) into x 1.850 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.850 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 1.850 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 1.850 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 1.850 * [taylor]: Taking taylor expansion of 0.5 in y 1.850 * [backup-simplify]: Simplify 0.5 into 0.5 1.850 * [taylor]: Taking taylor expansion of (/ x y) in y 1.850 * [taylor]: Taking taylor expansion of x in y 1.850 * [backup-simplify]: Simplify x into x 1.850 * [taylor]: Taking taylor expansion of y in y 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ x 1) into x 1.850 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.851 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 1.851 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.851 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 1.851 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.851 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 1.851 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.851 * [taylor]: Taking taylor expansion of 0.5 in x 1.851 * [backup-simplify]: Simplify 0.5 into 0.5 1.851 * [taylor]: Taking taylor expansion of (/ x y) in x 1.851 * [taylor]: Taking taylor expansion of x in x 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [taylor]: Taking taylor expansion of y in x 1.851 * [backup-simplify]: Simplify y into y 1.851 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.851 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.851 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 1.851 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.851 * [taylor]: Taking taylor expansion of 0.5 in x 1.851 * [backup-simplify]: Simplify 0.5 into 0.5 1.851 * [taylor]: Taking taylor expansion of (/ x y) in x 1.851 * [taylor]: Taking taylor expansion of x in x 1.851 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [taylor]: Taking taylor expansion of y in x 1.852 * [backup-simplify]: Simplify y into y 1.852 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.852 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 1.852 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 1.852 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 1.852 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.852 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 1.852 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.852 * [taylor]: Taking taylor expansion of 0.5 in x 1.852 * [backup-simplify]: Simplify 0.5 into 0.5 1.852 * [taylor]: Taking taylor expansion of (/ x y) in x 1.852 * [taylor]: Taking taylor expansion of x in x 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [taylor]: Taking taylor expansion of y in x 1.852 * [backup-simplify]: Simplify y into y 1.852 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.852 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.852 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 1.853 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.853 * [taylor]: Taking taylor expansion of 0.5 in x 1.853 * [backup-simplify]: Simplify 0.5 into 0.5 1.853 * [taylor]: Taking taylor expansion of (/ x y) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.853 * [taylor]: Taking taylor expansion of y in x 1.853 * [backup-simplify]: Simplify y into y 1.853 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.853 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.853 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 1.853 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 1.853 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 1.853 * [taylor]: Taking taylor expansion of 0.5 in y 1.853 * [backup-simplify]: Simplify 0.5 into 0.5 1.853 * [taylor]: Taking taylor expansion of y in y 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 1.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 1.856 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.857 * [backup-simplify]: Simplify (+ 0) into 0 1.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 1.858 * [taylor]: Taking taylor expansion of 0 in y 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.859 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.860 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1.861 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 1.862 * [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))) 1.862 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 1.862 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 1.862 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 1.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.862 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.862 * [taylor]: Taking taylor expansion of y in y 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (* 1 1) into 1 1.862 * [backup-simplify]: Simplify (* 1 1) into 1 1.863 * [backup-simplify]: Simplify (/ 1 1) into 1 1.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 1.872 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 1.872 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 1.872 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.872 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.872 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.872 * [taylor]: Taking taylor expansion of 0.5 in y 1.872 * [backup-simplify]: Simplify 0.5 into 0.5 1.872 * [taylor]: Taking taylor expansion of (/ y x) in y 1.872 * [taylor]: Taking taylor expansion of y in y 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [taylor]: Taking taylor expansion of x in y 1.872 * [backup-simplify]: Simplify x into x 1.872 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.872 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.872 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.872 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.872 * [taylor]: Taking taylor expansion of 0.5 in y 1.872 * [backup-simplify]: Simplify 0.5 into 0.5 1.872 * [taylor]: Taking taylor expansion of (/ y x) in y 1.872 * [taylor]: Taking taylor expansion of y in y 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [taylor]: Taking taylor expansion of x in y 1.872 * [backup-simplify]: Simplify x into x 1.872 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.872 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.873 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.873 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.873 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.873 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.873 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.873 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.873 * [taylor]: Taking taylor expansion of 0.5 in x 1.873 * [backup-simplify]: Simplify 0.5 into 0.5 1.873 * [taylor]: Taking taylor expansion of (/ y x) in x 1.873 * [taylor]: Taking taylor expansion of y in x 1.873 * [backup-simplify]: Simplify y into y 1.873 * [taylor]: Taking taylor expansion of x in x 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (/ y 1) into y 1.873 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.873 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.873 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.873 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.873 * [taylor]: Taking taylor expansion of 0.5 in x 1.873 * [backup-simplify]: Simplify 0.5 into 0.5 1.874 * [taylor]: Taking taylor expansion of (/ y x) in x 1.874 * [taylor]: Taking taylor expansion of y in x 1.874 * [backup-simplify]: Simplify y into y 1.874 * [taylor]: Taking taylor expansion of x in x 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (/ y 1) into y 1.874 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.874 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.874 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.874 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.874 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.874 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.874 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.874 * [taylor]: Taking taylor expansion of 0.5 in x 1.874 * [backup-simplify]: Simplify 0.5 into 0.5 1.874 * [taylor]: Taking taylor expansion of (/ y x) in x 1.874 * [taylor]: Taking taylor expansion of y in x 1.874 * [backup-simplify]: Simplify y into y 1.874 * [taylor]: Taking taylor expansion of x in x 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (/ y 1) into y 1.875 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.875 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.875 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.875 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.875 * [taylor]: Taking taylor expansion of 0.5 in x 1.875 * [backup-simplify]: Simplify 0.5 into 0.5 1.875 * [taylor]: Taking taylor expansion of (/ y x) in x 1.875 * [taylor]: Taking taylor expansion of y in x 1.875 * [backup-simplify]: Simplify y into y 1.875 * [taylor]: Taking taylor expansion of x in x 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (/ y 1) into y 1.875 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.875 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.875 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.875 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 1.875 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.875 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.875 * [taylor]: Taking taylor expansion of 0.5 in y 1.875 * [backup-simplify]: Simplify 0.5 into 0.5 1.875 * [taylor]: Taking taylor expansion of (/ y x) in y 1.876 * [taylor]: Taking taylor expansion of y in y 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [taylor]: Taking taylor expansion of x in y 1.876 * [backup-simplify]: Simplify x into x 1.876 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.876 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.876 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.876 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.876 * [taylor]: Taking taylor expansion of 0.5 in y 1.876 * [backup-simplify]: Simplify 0.5 into 0.5 1.876 * [taylor]: Taking taylor expansion of (/ y x) in y 1.876 * [taylor]: Taking taylor expansion of y in y 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [taylor]: Taking taylor expansion of x in y 1.876 * [backup-simplify]: Simplify x into x 1.876 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.876 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.876 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.876 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.877 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 1.877 * [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 1.877 * [taylor]: Taking taylor expansion of 0 in y 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.878 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.878 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.879 * [backup-simplify]: Simplify (+ 0) into 0 1.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.880 * [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 1.880 * [taylor]: Taking taylor expansion of 0 in y 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.882 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1.882 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 1.883 * [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))) 1.883 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 1.884 * [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 1.884 * [taylor]: Taking taylor expansion of 0 in y 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.886 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.887 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.887 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.887 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.888 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.889 * [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 1.889 * [backup-simplify]: Simplify 0 into 0 1.890 * [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 1.890 * [taylor]: Taking taylor expansion of 0 in y 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 1.891 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 1.891 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 1.891 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 1.891 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.891 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.891 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.891 * [taylor]: Taking taylor expansion of 0.5 in y 1.891 * [backup-simplify]: Simplify 0.5 into 0.5 1.891 * [taylor]: Taking taylor expansion of (/ y x) in y 1.891 * [taylor]: Taking taylor expansion of y in y 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.891 * [taylor]: Taking taylor expansion of x in y 1.892 * [backup-simplify]: Simplify x into x 1.892 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.892 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.892 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.892 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.892 * [taylor]: Taking taylor expansion of 0.5 in y 1.892 * [backup-simplify]: Simplify 0.5 into 0.5 1.892 * [taylor]: Taking taylor expansion of (/ y x) in y 1.892 * [taylor]: Taking taylor expansion of y in y 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [taylor]: Taking taylor expansion of x in y 1.892 * [backup-simplify]: Simplify x into x 1.892 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.892 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.892 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.892 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.892 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.892 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.892 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.892 * [taylor]: Taking taylor expansion of 0.5 in x 1.893 * [backup-simplify]: Simplify 0.5 into 0.5 1.893 * [taylor]: Taking taylor expansion of (/ y x) in x 1.893 * [taylor]: Taking taylor expansion of y in x 1.893 * [backup-simplify]: Simplify y into y 1.893 * [taylor]: Taking taylor expansion of x in x 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (/ y 1) into y 1.893 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.893 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.893 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.893 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.893 * [taylor]: Taking taylor expansion of 0.5 in x 1.893 * [backup-simplify]: Simplify 0.5 into 0.5 1.893 * [taylor]: Taking taylor expansion of (/ y x) in x 1.893 * [taylor]: Taking taylor expansion of y in x 1.893 * [backup-simplify]: Simplify y into y 1.893 * [taylor]: Taking taylor expansion of x in x 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (/ y 1) into y 1.893 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.893 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.893 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.894 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.894 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.894 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.894 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.894 * [taylor]: Taking taylor expansion of 0.5 in x 1.894 * [backup-simplify]: Simplify 0.5 into 0.5 1.894 * [taylor]: Taking taylor expansion of (/ y x) in x 1.894 * [taylor]: Taking taylor expansion of y in x 1.894 * [backup-simplify]: Simplify y into y 1.894 * [taylor]: Taking taylor expansion of x in x 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (/ y 1) into y 1.894 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.894 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.894 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.894 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.894 * [taylor]: Taking taylor expansion of 0.5 in x 1.894 * [backup-simplify]: Simplify 0.5 into 0.5 1.894 * [taylor]: Taking taylor expansion of (/ y x) in x 1.894 * [taylor]: Taking taylor expansion of y in x 1.894 * [backup-simplify]: Simplify y into y 1.894 * [taylor]: Taking taylor expansion of x in x 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (/ y 1) into y 1.894 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.894 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.895 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.895 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 1.895 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.895 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.895 * [taylor]: Taking taylor expansion of 0.5 in y 1.895 * [backup-simplify]: Simplify 0.5 into 0.5 1.895 * [taylor]: Taking taylor expansion of (/ y x) in y 1.895 * [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 * [taylor]: Taking taylor expansion of x in y 1.895 * [backup-simplify]: Simplify x into x 1.895 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.895 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.895 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.895 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.895 * [taylor]: Taking taylor expansion of 0.5 in y 1.895 * [backup-simplify]: Simplify 0.5 into 0.5 1.895 * [taylor]: Taking taylor expansion of (/ y x) in y 1.895 * [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 * [taylor]: Taking taylor expansion of x in y 1.895 * [backup-simplify]: Simplify x into x 1.895 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.896 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.896 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.896 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 1.896 * [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 1.896 * [taylor]: Taking taylor expansion of 0 in y 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.897 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.898 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.898 * [backup-simplify]: Simplify (+ 0) into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.899 * [taylor]: Taking taylor expansion of 0 in y 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1.902 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 1.903 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1) (+ (* (/ 0.5 x) (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow x 3))) 1.903 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 1.903 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 1.903 * [taylor]: Taking taylor expansion of 0 in y 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.905 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.906 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.906 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.907 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.907 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.909 * [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 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [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 1.910 * [taylor]: Taking taylor expansion of 0 in y 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 1.910 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 1.910 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 1.910 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 1.910 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 1.911 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.911 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 1.911 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 1.911 * [taylor]: Taking taylor expansion of 0.5 in y 1.911 * [backup-simplify]: Simplify 0.5 into 0.5 1.911 * [taylor]: Taking taylor expansion of (/ x y) in y 1.911 * [taylor]: Taking taylor expansion of x in y 1.911 * [backup-simplify]: Simplify x into x 1.911 * [taylor]: Taking taylor expansion of y in y 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (/ x 1) into x 1.911 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.911 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 1.911 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 1.911 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 1.911 * [taylor]: Taking taylor expansion of 0.5 in y 1.911 * [backup-simplify]: Simplify 0.5 into 0.5 1.911 * [taylor]: Taking taylor expansion of (/ x y) in y 1.911 * [taylor]: Taking taylor expansion of x in y 1.911 * [backup-simplify]: Simplify x into x 1.911 * [taylor]: Taking taylor expansion of y in y 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (/ x 1) into x 1.911 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.911 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 1.912 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.912 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 1.912 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.912 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 1.912 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.912 * [taylor]: Taking taylor expansion of 0.5 in x 1.912 * [backup-simplify]: Simplify 0.5 into 0.5 1.912 * [taylor]: Taking taylor expansion of (/ x y) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [taylor]: Taking taylor expansion of y in x 1.912 * [backup-simplify]: Simplify y into y 1.912 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.912 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.912 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 1.912 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.912 * [taylor]: Taking taylor expansion of 0.5 in x 1.912 * [backup-simplify]: Simplify 0.5 into 0.5 1.912 * [taylor]: Taking taylor expansion of (/ x y) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [taylor]: Taking taylor expansion of y in x 1.912 * [backup-simplify]: Simplify y into y 1.912 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.913 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.913 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 1.913 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 1.913 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 1.913 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.913 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 1.913 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.913 * [taylor]: Taking taylor expansion of 0.5 in x 1.913 * [backup-simplify]: Simplify 0.5 into 0.5 1.913 * [taylor]: Taking taylor expansion of (/ x y) in x 1.913 * [taylor]: Taking taylor expansion of x in x 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [taylor]: Taking taylor expansion of y in x 1.913 * [backup-simplify]: Simplify y into y 1.913 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.913 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.913 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 1.913 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.913 * [taylor]: Taking taylor expansion of 0.5 in x 1.913 * [backup-simplify]: Simplify 0.5 into 0.5 1.913 * [taylor]: Taking taylor expansion of (/ x y) in x 1.913 * [taylor]: Taking taylor expansion of x in x 1.913 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [taylor]: Taking taylor expansion of y in x 1.914 * [backup-simplify]: Simplify y into y 1.914 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.914 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.914 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 1.914 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 1.914 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 1.914 * [taylor]: Taking taylor expansion of 0.5 in y 1.914 * [backup-simplify]: Simplify 0.5 into 0.5 1.914 * [taylor]: Taking taylor expansion of y in y 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 1.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.922 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 1.923 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.923 * [backup-simplify]: Simplify (+ 0) into 0 1.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) 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 1.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.927 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1.927 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 1.928 * [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))) 1.928 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 1.928 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 1.928 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.928 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.928 * [taylor]: Taking taylor expansion of y in y 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (* 1 1) into 1 1.929 * [backup-simplify]: Simplify (* 1 1) into 1 1.929 * [backup-simplify]: Simplify (/ 1 1) into 1 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 1.938 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 1.938 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 1.938 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.938 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.938 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.938 * [taylor]: Taking taylor expansion of 0.5 in y 1.938 * [backup-simplify]: Simplify 0.5 into 0.5 1.938 * [taylor]: Taking taylor expansion of (/ y x) in y 1.938 * [taylor]: Taking taylor expansion of y in y 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [taylor]: Taking taylor expansion of x in y 1.938 * [backup-simplify]: Simplify x into x 1.938 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.938 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.938 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.938 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.938 * [taylor]: Taking taylor expansion of 0.5 in y 1.938 * [backup-simplify]: Simplify 0.5 into 0.5 1.938 * [taylor]: Taking taylor expansion of (/ y x) in y 1.938 * [taylor]: Taking taylor expansion of y in y 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [taylor]: Taking taylor expansion of x in y 1.938 * [backup-simplify]: Simplify x into x 1.939 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.939 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.939 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.939 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.939 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.939 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.939 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.939 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.939 * [taylor]: Taking taylor expansion of 0.5 in x 1.939 * [backup-simplify]: Simplify 0.5 into 0.5 1.939 * [taylor]: Taking taylor expansion of (/ y x) in x 1.939 * [taylor]: Taking taylor expansion of y in x 1.939 * [backup-simplify]: Simplify y into y 1.939 * [taylor]: Taking taylor expansion of x in x 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (/ y 1) into y 1.939 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.939 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.939 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.939 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.940 * [taylor]: Taking taylor expansion of 0.5 in x 1.940 * [backup-simplify]: Simplify 0.5 into 0.5 1.940 * [taylor]: Taking taylor expansion of (/ y x) in x 1.940 * [taylor]: Taking taylor expansion of y in x 1.940 * [backup-simplify]: Simplify y into y 1.940 * [taylor]: Taking taylor expansion of x in x 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (/ y 1) into y 1.940 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.940 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.940 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.940 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.940 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.940 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.940 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.940 * [taylor]: Taking taylor expansion of 0.5 in x 1.940 * [backup-simplify]: Simplify 0.5 into 0.5 1.940 * [taylor]: Taking taylor expansion of (/ y x) in x 1.940 * [taylor]: Taking taylor expansion of y in x 1.940 * [backup-simplify]: Simplify y into y 1.940 * [taylor]: Taking taylor expansion of x in x 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (/ y 1) into y 1.941 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.941 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.941 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.941 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.941 * [taylor]: Taking taylor expansion of 0.5 in x 1.941 * [backup-simplify]: Simplify 0.5 into 0.5 1.941 * [taylor]: Taking taylor expansion of (/ y x) in x 1.941 * [taylor]: Taking taylor expansion of y in x 1.941 * [backup-simplify]: Simplify y into y 1.941 * [taylor]: Taking taylor expansion of x in x 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (/ y 1) into y 1.941 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.941 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.941 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.941 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 1.941 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.941 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.941 * [taylor]: Taking taylor expansion of 0.5 in y 1.942 * [backup-simplify]: Simplify 0.5 into 0.5 1.942 * [taylor]: Taking taylor expansion of (/ y x) in y 1.942 * [taylor]: Taking taylor expansion of y in y 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [taylor]: Taking taylor expansion of x in y 1.942 * [backup-simplify]: Simplify x into x 1.942 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.942 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.942 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.942 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.942 * [taylor]: Taking taylor expansion of 0.5 in y 1.942 * [backup-simplify]: Simplify 0.5 into 0.5 1.942 * [taylor]: Taking taylor expansion of (/ y x) in y 1.942 * [taylor]: Taking taylor expansion of y in y 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.942 * [taylor]: Taking taylor expansion of x in y 1.942 * [backup-simplify]: Simplify x into x 1.942 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.942 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.942 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.942 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.943 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 1.943 * [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 1.943 * [taylor]: Taking taylor expansion of 0 in y 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.944 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.945 * [backup-simplify]: Simplify (+ 0) into 0 1.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.946 * [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 1.946 * [taylor]: Taking taylor expansion of 0 in y 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.948 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1.948 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 1.949 * [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))) 1.949 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 1.950 * [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 1.950 * [taylor]: Taking taylor expansion of 0 in y 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.951 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.953 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.953 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.954 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.955 * [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 1.955 * [backup-simplify]: Simplify 0 into 0 1.956 * [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 1.956 * [taylor]: Taking taylor expansion of 0 in y 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 1.957 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 1.957 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 1.957 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 1.957 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.957 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.957 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.957 * [taylor]: Taking taylor expansion of 0.5 in y 1.957 * [backup-simplify]: Simplify 0.5 into 0.5 1.957 * [taylor]: Taking taylor expansion of (/ y x) in y 1.957 * [taylor]: Taking taylor expansion of y in y 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [taylor]: Taking taylor expansion of x in y 1.957 * [backup-simplify]: Simplify x into x 1.957 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.957 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.957 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.957 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.957 * [taylor]: Taking taylor expansion of 0.5 in y 1.957 * [backup-simplify]: Simplify 0.5 into 0.5 1.958 * [taylor]: Taking taylor expansion of (/ y x) in y 1.958 * [taylor]: Taking taylor expansion of y in y 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [taylor]: Taking taylor expansion of x in y 1.958 * [backup-simplify]: Simplify x into x 1.958 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.958 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.958 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.958 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.958 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.958 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.958 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.958 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.958 * [taylor]: Taking taylor expansion of 0.5 in x 1.958 * [backup-simplify]: Simplify 0.5 into 0.5 1.958 * [taylor]: Taking taylor expansion of (/ y x) in x 1.958 * [taylor]: Taking taylor expansion of y in x 1.958 * [backup-simplify]: Simplify y into y 1.958 * [taylor]: Taking taylor expansion of x in x 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (/ y 1) into y 1.959 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.959 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.959 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.959 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.959 * [taylor]: Taking taylor expansion of 0.5 in x 1.959 * [backup-simplify]: Simplify 0.5 into 0.5 1.959 * [taylor]: Taking taylor expansion of (/ y x) in x 1.959 * [taylor]: Taking taylor expansion of y in x 1.959 * [backup-simplify]: Simplify y into y 1.959 * [taylor]: Taking taylor expansion of x in x 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ y 1) into y 1.959 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.959 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.959 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.959 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.959 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.959 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.959 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.959 * [taylor]: Taking taylor expansion of 0.5 in x 1.960 * [backup-simplify]: Simplify 0.5 into 0.5 1.960 * [taylor]: Taking taylor expansion of (/ y x) in x 1.960 * [taylor]: Taking taylor expansion of y in x 1.960 * [backup-simplify]: Simplify y into y 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (/ y 1) into y 1.960 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.960 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.960 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.960 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.960 * [taylor]: Taking taylor expansion of 0.5 in x 1.960 * [backup-simplify]: Simplify 0.5 into 0.5 1.960 * [taylor]: Taking taylor expansion of (/ y x) in x 1.960 * [taylor]: Taking taylor expansion of y in x 1.960 * [backup-simplify]: Simplify y into y 1.960 * [taylor]: Taking taylor expansion of x in x 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (/ y 1) into y 1.960 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.960 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.961 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.961 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 1.961 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.961 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.961 * [taylor]: Taking taylor expansion of 0.5 in y 1.961 * [backup-simplify]: Simplify 0.5 into 0.5 1.961 * [taylor]: Taking taylor expansion of (/ y x) in y 1.961 * [taylor]: Taking taylor expansion of y in y 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [taylor]: Taking taylor expansion of x in y 1.961 * [backup-simplify]: Simplify x into x 1.961 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.961 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.961 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.961 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.961 * [taylor]: Taking taylor expansion of 0.5 in y 1.961 * [backup-simplify]: Simplify 0.5 into 0.5 1.961 * [taylor]: Taking taylor expansion of (/ y x) in y 1.961 * [taylor]: Taking taylor expansion of y in y 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [taylor]: Taking taylor expansion of x in y 1.961 * [backup-simplify]: Simplify x into x 1.961 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.961 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.962 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.962 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 1.962 * [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 1.962 * [taylor]: Taking taylor expansion of 0 in y 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.963 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.963 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.964 * [backup-simplify]: Simplify (+ 0) into 0 1.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [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 1.965 * [taylor]: Taking taylor expansion of 0 in y 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.966 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.967 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1.967 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 1.968 * [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))) 1.968 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 1.968 * [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 1.968 * [taylor]: Taking taylor expansion of 0 in y 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.969 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.970 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.971 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.973 * [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 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [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 1.973 * [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 (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 1.974 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.974 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 1.974 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 1.974 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 1.974 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.974 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 1.974 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 1.974 * [taylor]: Taking taylor expansion of 0.5 in y 1.974 * [backup-simplify]: Simplify 0.5 into 0.5 1.974 * [taylor]: Taking taylor expansion of (/ x y) in y 1.974 * [taylor]: Taking taylor expansion of x in y 1.974 * [backup-simplify]: Simplify x into x 1.974 * [taylor]: Taking taylor expansion of y in y 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ x 1) into x 1.975 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.975 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 1.975 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 1.975 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 1.975 * [taylor]: Taking taylor expansion of 0.5 in y 1.975 * [backup-simplify]: Simplify 0.5 into 0.5 1.975 * [taylor]: Taking taylor expansion of (/ x y) in y 1.975 * [taylor]: Taking taylor expansion of x in y 1.975 * [backup-simplify]: Simplify x into x 1.975 * [taylor]: Taking taylor expansion of y in y 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ x 1) into x 1.975 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.975 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 1.975 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.975 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 1.975 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.975 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 1.975 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.975 * [taylor]: Taking taylor expansion of 0.5 in x 1.975 * [backup-simplify]: Simplify 0.5 into 0.5 1.975 * [taylor]: Taking taylor expansion of (/ x y) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [taylor]: Taking taylor expansion of y in x 1.975 * [backup-simplify]: Simplify y into y 1.975 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.975 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.975 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 1.975 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.976 * [taylor]: Taking taylor expansion of 0.5 in x 1.976 * [backup-simplify]: Simplify 0.5 into 0.5 1.976 * [taylor]: Taking taylor expansion of (/ x y) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [taylor]: Taking taylor expansion of y in x 1.976 * [backup-simplify]: Simplify y into y 1.976 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.976 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.976 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 1.976 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 1.976 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 1.976 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 1.976 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 1.976 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.976 * [taylor]: Taking taylor expansion of 0.5 in x 1.976 * [backup-simplify]: Simplify 0.5 into 0.5 1.976 * [taylor]: Taking taylor expansion of (/ x y) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [taylor]: Taking taylor expansion of y in x 1.976 * [backup-simplify]: Simplify y into y 1.976 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.976 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.976 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 1.976 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 1.976 * [taylor]: Taking taylor expansion of 0.5 in x 1.976 * [backup-simplify]: Simplify 0.5 into 0.5 1.976 * [taylor]: Taking taylor expansion of (/ x y) in x 1.976 * [taylor]: Taking taylor expansion of x in x 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [taylor]: Taking taylor expansion of y in x 1.976 * [backup-simplify]: Simplify y into y 1.976 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.977 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 1.977 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 1.977 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 1.977 * [taylor]: Taking taylor expansion of 0.5 in y 1.977 * [backup-simplify]: Simplify 0.5 into 0.5 1.977 * [taylor]: Taking taylor expansion of y in y 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 1.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 1.979 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.979 * [backup-simplify]: Simplify (+ 0) into 0 1.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 1.979 * [taylor]: Taking taylor expansion of 0 in y 1.979 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1.982 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 1.982 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 1.982 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 1.982 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 1.982 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.982 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.982 * [taylor]: Taking taylor expansion of y in y 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (* 1 1) into 1 1.983 * [backup-simplify]: Simplify (* 1 1) into 1 1.983 * [backup-simplify]: Simplify (/ 1 1) into 1 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 1.989 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 1.989 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 1.989 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.989 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.989 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.989 * [taylor]: Taking taylor expansion of 0.5 in y 1.989 * [backup-simplify]: Simplify 0.5 into 0.5 1.989 * [taylor]: Taking taylor expansion of (/ y x) in y 1.989 * [taylor]: Taking taylor expansion of y in y 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [taylor]: Taking taylor expansion of x in y 1.989 * [backup-simplify]: Simplify x into x 1.989 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.990 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.990 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.990 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.990 * [taylor]: Taking taylor expansion of 0.5 in y 1.990 * [backup-simplify]: Simplify 0.5 into 0.5 1.990 * [taylor]: Taking taylor expansion of (/ y x) in y 1.990 * [taylor]: Taking taylor expansion of y in y 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [taylor]: Taking taylor expansion of x in y 1.990 * [backup-simplify]: Simplify x into x 1.990 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.990 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.990 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.990 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.990 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.990 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.990 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.990 * [taylor]: Taking taylor expansion of 0.5 in x 1.990 * [backup-simplify]: Simplify 0.5 into 0.5 1.990 * [taylor]: Taking taylor expansion of (/ y x) in x 1.990 * [taylor]: Taking taylor expansion of y in x 1.990 * [backup-simplify]: Simplify y into y 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (/ y 1) into y 1.990 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.990 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.990 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.990 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.990 * [taylor]: Taking taylor expansion of 0.5 in x 1.990 * [backup-simplify]: Simplify 0.5 into 0.5 1.990 * [taylor]: Taking taylor expansion of (/ y x) in x 1.990 * [taylor]: Taking taylor expansion of y in x 1.991 * [backup-simplify]: Simplify y into y 1.991 * [taylor]: Taking taylor expansion of x in x 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ y 1) into y 1.991 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.991 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.991 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.991 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 1.991 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.991 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 1.991 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.991 * [taylor]: Taking taylor expansion of 0.5 in x 1.991 * [backup-simplify]: Simplify 0.5 into 0.5 1.991 * [taylor]: Taking taylor expansion of (/ y x) in x 1.991 * [taylor]: Taking taylor expansion of y in x 1.991 * [backup-simplify]: Simplify y into y 1.991 * [taylor]: Taking taylor expansion of x in x 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ y 1) into y 1.991 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.991 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 1.991 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 1.991 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 1.991 * [taylor]: Taking taylor expansion of 0.5 in x 1.991 * [backup-simplify]: Simplify 0.5 into 0.5 1.991 * [taylor]: Taking taylor expansion of (/ y x) in x 1.991 * [taylor]: Taking taylor expansion of y in x 1.991 * [backup-simplify]: Simplify y into y 1.991 * [taylor]: Taking taylor expansion of x in x 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ y 1) into y 1.991 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 1.991 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 1.992 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 1.992 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 1.992 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 1.992 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.992 * [taylor]: Taking taylor expansion of 0.5 in y 1.992 * [backup-simplify]: Simplify 0.5 into 0.5 1.992 * [taylor]: Taking taylor expansion of (/ y x) 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 * [taylor]: Taking taylor expansion of x in y 1.992 * [backup-simplify]: Simplify x into x 1.992 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.992 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.992 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 1.992 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 1.992 * [taylor]: Taking taylor expansion of 0.5 in y 1.992 * [backup-simplify]: Simplify 0.5 into 0.5 1.992 * [taylor]: Taking taylor expansion of (/ y x) 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 * [taylor]: Taking taylor expansion of x in y 1.992 * [backup-simplify]: Simplify x into x 1.992 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.992 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 1.992 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 1.992 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 1.992 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 1.993 * [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 1.993 * [taylor]: Taking taylor expansion of 0 in y 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 1.994 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.994 * [backup-simplify]: Simplify (+ 0) into 0 1.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [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 1.995 * [taylor]: Taking taylor expansion of 0 in y 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.997 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 1.998 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 1.999 * [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))) 1.999 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 1.999 * [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 1.999 * [taylor]: Taking taylor expansion of 0 in y 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.002 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.002 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.003 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.005 * [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 2.005 * [backup-simplify]: Simplify 0 into 0 2.006 * [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 2.006 * [taylor]: Taking taylor expansion of 0 in y 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 2.006 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 2.006 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.006 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.006 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.007 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.007 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.007 * [taylor]: Taking taylor expansion of 0.5 in y 2.007 * [backup-simplify]: Simplify 0.5 into 0.5 2.007 * [taylor]: Taking taylor expansion of (/ y x) in y 2.007 * [taylor]: Taking taylor expansion of y in y 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [taylor]: Taking taylor expansion of x in y 2.007 * [backup-simplify]: Simplify x into x 2.007 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.007 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.007 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.007 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.007 * [taylor]: Taking taylor expansion of 0.5 in y 2.007 * [backup-simplify]: Simplify 0.5 into 0.5 2.007 * [taylor]: Taking taylor expansion of (/ y x) in y 2.007 * [taylor]: Taking taylor expansion of y in y 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [taylor]: Taking taylor expansion of x in y 2.007 * [backup-simplify]: Simplify x into x 2.007 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.007 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.007 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.008 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.008 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.008 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.008 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.008 * [taylor]: Taking taylor expansion of 0.5 in x 2.008 * [backup-simplify]: Simplify 0.5 into 0.5 2.008 * [taylor]: Taking taylor expansion of (/ y x) in x 2.008 * [taylor]: Taking taylor expansion of y in x 2.008 * [backup-simplify]: Simplify y into y 2.008 * [taylor]: Taking taylor expansion of x in x 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (/ y 1) into y 2.008 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.008 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.008 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.008 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.008 * [taylor]: Taking taylor expansion of 0.5 in x 2.008 * [backup-simplify]: Simplify 0.5 into 0.5 2.008 * [taylor]: Taking taylor expansion of (/ y x) in x 2.008 * [taylor]: Taking taylor expansion of y in x 2.008 * [backup-simplify]: Simplify y into y 2.008 * [taylor]: Taking taylor expansion of x in x 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (/ y 1) into y 2.008 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.009 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.009 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.009 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.009 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.009 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.009 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.009 * [taylor]: Taking taylor expansion of 0.5 in x 2.009 * [backup-simplify]: Simplify 0.5 into 0.5 2.009 * [taylor]: Taking taylor expansion of (/ y x) in x 2.009 * [taylor]: Taking taylor expansion of y in x 2.009 * [backup-simplify]: Simplify y into y 2.009 * [taylor]: Taking taylor expansion of x in x 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (/ y 1) into y 2.009 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.009 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.009 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.009 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.009 * [taylor]: Taking taylor expansion of 0.5 in x 2.009 * [backup-simplify]: Simplify 0.5 into 0.5 2.009 * [taylor]: Taking taylor expansion of (/ y x) in x 2.009 * [taylor]: Taking taylor expansion of y in x 2.009 * [backup-simplify]: Simplify y into y 2.009 * [taylor]: Taking taylor expansion of x in x 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (/ y 1) into y 2.010 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.010 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.010 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.010 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.010 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.010 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.010 * [taylor]: Taking taylor expansion of 0.5 in y 2.010 * [backup-simplify]: Simplify 0.5 into 0.5 2.010 * [taylor]: Taking taylor expansion of (/ y x) in y 2.010 * [taylor]: Taking taylor expansion of y in y 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [taylor]: Taking taylor expansion of x in y 2.010 * [backup-simplify]: Simplify x into x 2.010 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.010 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.010 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.010 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.010 * [taylor]: Taking taylor expansion of 0.5 in y 2.010 * [backup-simplify]: Simplify 0.5 into 0.5 2.011 * [taylor]: Taking taylor expansion of (/ y x) in y 2.011 * [taylor]: Taking taylor expansion of y in y 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [taylor]: Taking taylor expansion of x in y 2.011 * [backup-simplify]: Simplify x into x 2.011 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.011 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.011 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.011 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.011 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.011 * [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 2.012 * [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 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.013 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.013 * [backup-simplify]: Simplify (+ 0) into 0 2.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.014 * [backup-simplify]: Simplify 0 into 0 2.015 * [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 2.015 * [taylor]: Taking taylor expansion of 0 in y 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.017 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.018 * [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))) 2.018 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.018 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 2.018 * [taylor]: Taking taylor expansion of 0 in y 2.018 * [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 into 0 2.019 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.021 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.021 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.021 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.022 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.023 * [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 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [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 2.024 * [taylor]: Taking taylor expansion of 0 in y 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 2.024 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 2.024 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 2.024 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 2.024 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 2.024 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.024 * [taylor]: Taking taylor expansion of 0.5 in y 2.024 * [backup-simplify]: Simplify 0.5 into 0.5 2.024 * [taylor]: Taking taylor expansion of (/ x y) in y 2.024 * [taylor]: Taking taylor expansion of x in y 2.024 * [backup-simplify]: Simplify x into x 2.024 * [taylor]: Taking taylor expansion of y in y 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ x 1) into x 2.024 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.024 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 2.024 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.024 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.024 * [taylor]: Taking taylor expansion of 0.5 in x 2.025 * [backup-simplify]: Simplify 0.5 into 0.5 2.025 * [taylor]: Taking taylor expansion of (/ x y) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [taylor]: Taking taylor expansion of y in x 2.025 * [backup-simplify]: Simplify y into y 2.025 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.025 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.025 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.025 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.025 * [taylor]: Taking taylor expansion of 0.5 in x 2.025 * [backup-simplify]: Simplify 0.5 into 0.5 2.025 * [taylor]: Taking taylor expansion of (/ x y) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [taylor]: Taking taylor expansion of y in x 2.025 * [backup-simplify]: Simplify y into y 2.025 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.025 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.025 * [taylor]: Taking taylor expansion of 0 in y 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.025 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 2.025 * [taylor]: Taking taylor expansion of 0.5 in y 2.025 * [backup-simplify]: Simplify 0.5 into 0.5 2.025 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.025 * [taylor]: Taking taylor expansion of y in y 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (/ 1 1) into 1 2.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.027 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 2.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 2.029 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 2.029 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.029 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) 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 (/ y x) 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 * [taylor]: Taking taylor expansion of x in y 2.029 * [backup-simplify]: Simplify x into x 2.029 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.029 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.029 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.029 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.029 * [taylor]: Taking taylor expansion of 0.5 in x 2.029 * [backup-simplify]: Simplify 0.5 into 0.5 2.029 * [taylor]: Taking taylor expansion of (/ y x) in x 2.029 * [taylor]: Taking taylor expansion of y in x 2.029 * [backup-simplify]: Simplify y into y 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ y 1) into y 2.029 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.029 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.029 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.029 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.029 * [taylor]: Taking taylor expansion of 0.5 in x 2.029 * [backup-simplify]: Simplify 0.5 into 0.5 2.029 * [taylor]: Taking taylor expansion of (/ y x) in x 2.029 * [taylor]: Taking taylor expansion of y in x 2.029 * [backup-simplify]: Simplify y into y 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ y 1) into y 2.030 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.030 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.030 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.030 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.030 * [taylor]: Taking taylor expansion of 0.5 in y 2.030 * [backup-simplify]: Simplify 0.5 into 0.5 2.030 * [taylor]: Taking taylor expansion of (/ y x) in y 2.030 * [taylor]: Taking taylor expansion of y in y 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [taylor]: Taking taylor expansion of x in y 2.030 * [backup-simplify]: Simplify x into x 2.030 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.030 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [taylor]: Taking taylor expansion of 0 in y 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.030 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.030 * [taylor]: Taking taylor expansion of 0 in y 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.031 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.031 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.031 * [backup-simplify]: Simplify 0 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 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 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) 2.032 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.032 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.032 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.032 * [taylor]: Taking taylor expansion of 0.5 in x 2.032 * [backup-simplify]: Simplify 0.5 into 0.5 2.032 * [taylor]: Taking taylor expansion of (/ y x) in x 2.032 * [taylor]: Taking taylor expansion of y in x 2.032 * [backup-simplify]: Simplify y into y 2.032 * [taylor]: Taking taylor expansion of x in x 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ y 1) into y 2.032 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.032 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.032 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.032 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.032 * [taylor]: Taking taylor expansion of 0.5 in x 2.032 * [backup-simplify]: Simplify 0.5 into 0.5 2.032 * [taylor]: Taking taylor expansion of (/ y x) in x 2.032 * [taylor]: Taking taylor expansion of y in x 2.032 * [backup-simplify]: Simplify y into y 2.032 * [taylor]: Taking taylor expansion of x in x 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ y 1) into y 2.032 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.032 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.032 * [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 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [taylor]: Taking taylor expansion of x in y 2.033 * [backup-simplify]: Simplify x into x 2.033 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.033 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [taylor]: Taking taylor expansion of 0 in y 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.033 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.033 * [taylor]: Taking taylor expansion of 0 in y 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.034 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.034 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 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 0 into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 2.034 * * * [progress]: simplifying candidates 2.035 * [simplify]: Simplifying: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 2.036 * * [simplify]: Extracting # 0 : cost 0 2.036 * * [simplify]: Extracting # 1 : cost 0 2.036 * * [simplify]: Extracting # 2 : cost 0 2.036 * * [simplify]: Extracting # 3 : cost 0 2.036 * * [simplify]: Extracting # 4 : cost 0 2.036 * * [simplify]: Extracting # 5 : cost 0 2.036 * * [simplify]: Extracting # 6 : cost 0 2.036 * * [simplify]: Extracting # 7 : cost 0 2.036 * * [simplify]: iteration 0 : 33 enodes (cost 420 ) 2.045 * * [simplify]: Extracting # 0 : cost 0 2.045 * * [simplify]: Extracting # 1 : cost 0 2.045 * * [simplify]: Extracting # 2 : cost 0 2.045 * * [simplify]: Extracting # 3 : cost 0 2.045 * * [simplify]: iteration 1 : 57 enodes (cost 420 ) 2.056 * * [simplify]: Extracting # 0 : cost 0 2.057 * * [simplify]: Extracting # 1 : cost 0 2.057 * * [simplify]: Extracting # 2 : cost 0 2.057 * * [simplify]: Extracting # 3 : cost 0 2.057 * * [simplify]: iteration 2 : 131 enodes (cost 372 ) 2.095 * * [simplify]: Extracting # 0 : cost 0 2.095 * * [simplify]: Extracting # 1 : cost 0 2.096 * * [simplify]: Extracting # 2 : cost 0 2.096 * * [simplify]: Extracting # 3 : cost 0 2.097 * * [simplify]: Extracting # 4 : cost 0 2.097 * * [simplify]: iteration 3 : 490 enodes (cost 372 ) 2.616 * * [simplify]: Extracting # 0 : cost 0 2.619 * * [simplify]: Extracting # 1 : cost 0 2.621 * * [simplify]: Extracting # 2 : cost 0 2.623 * * [simplify]: Extracting # 3 : cost 0 2.625 * * [simplify]: Extracting # 4 : cost 0 2.627 * * [simplify]: iteration 4 : 2440 enodes (cost 360 ) 3.586 * * [simplify]: Extracting # 0 : cost 0 3.598 * * [simplify]: Extracting # 1 : cost 0 3.604 * * [simplify]: Extracting # 2 : cost 0 3.609 * * [simplify]: Extracting # 3 : cost 0 3.614 * * [simplify]: iteration done: 5000 enodes (cost 360 ) 3.615 * [simplify]: Simplified to: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (pow (sin (/ x (* y 2.0))) 3) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 3.615 * * * [progress]: adding candidates to table 3.853 * * [progress]: iteration 4 / 4 3.853 * * * [progress]: picking best candidate 3.908 * * * * [pick]: Picked # 3.908 * * * [progress]: localizing error 3.951 * * * [progress]: generating rewritten candidates 3.951 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 3.958 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 3.965 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 3.970 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 3.982 * * * [progress]: generating series expansions 3.982 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 3.982 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 3.982 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 3.982 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 3.982 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 3.982 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 3.982 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 3.982 * [taylor]: Taking taylor expansion of 0.5 in y 3.982 * [backup-simplify]: Simplify 0.5 into 0.5 3.982 * [taylor]: Taking taylor expansion of (/ x y) in y 3.982 * [taylor]: Taking taylor expansion of x in y 3.982 * [backup-simplify]: Simplify x into x 3.982 * [taylor]: Taking taylor expansion of y in y 3.982 * [backup-simplify]: Simplify 0 into 0 3.982 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (/ x 1) into x 3.983 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 3.983 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 3.983 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 3.983 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 3.983 * [taylor]: Taking taylor expansion of 0.5 in y 3.983 * [backup-simplify]: Simplify 0.5 into 0.5 3.983 * [taylor]: Taking taylor expansion of (/ x y) in y 3.983 * [taylor]: Taking taylor expansion of x in y 3.983 * [backup-simplify]: Simplify x into x 3.983 * [taylor]: Taking taylor expansion of y in y 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (/ x 1) into x 3.983 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 3.983 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 3.983 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 3.983 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 3.983 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 3.983 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 3.983 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 3.984 * [taylor]: Taking taylor expansion of 0.5 in x 3.984 * [backup-simplify]: Simplify 0.5 into 0.5 3.984 * [taylor]: Taking taylor expansion of (/ x y) in x 3.984 * [taylor]: Taking taylor expansion of x in x 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [taylor]: Taking taylor expansion of y in x 3.984 * [backup-simplify]: Simplify y into y 3.984 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.984 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 3.984 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 3.984 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 3.984 * [taylor]: Taking taylor expansion of 0.5 in x 3.984 * [backup-simplify]: Simplify 0.5 into 0.5 3.984 * [taylor]: Taking taylor expansion of (/ x y) in x 3.984 * [taylor]: Taking taylor expansion of x in x 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [taylor]: Taking taylor expansion of y in x 3.984 * [backup-simplify]: Simplify y into y 3.984 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.984 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 3.984 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 3.984 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 3.984 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 3.984 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 3.984 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 3.984 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 3.984 * [taylor]: Taking taylor expansion of 0.5 in x 3.984 * [backup-simplify]: Simplify 0.5 into 0.5 3.984 * [taylor]: Taking taylor expansion of (/ x y) in x 3.984 * [taylor]: Taking taylor expansion of x in x 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [taylor]: Taking taylor expansion of y in x 3.984 * [backup-simplify]: Simplify y into y 3.985 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.985 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 3.985 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 3.985 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 3.985 * [taylor]: Taking taylor expansion of 0.5 in x 3.985 * [backup-simplify]: Simplify 0.5 into 0.5 3.985 * [taylor]: Taking taylor expansion of (/ x y) in x 3.985 * [taylor]: Taking taylor expansion of x in x 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 1 into 1 3.985 * [taylor]: Taking taylor expansion of y in x 3.985 * [backup-simplify]: Simplify y into y 3.985 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.985 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 3.985 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 3.985 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 3.985 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 3.985 * [taylor]: Taking taylor expansion of 0.5 in y 3.985 * [backup-simplify]: Simplify 0.5 into 0.5 3.985 * [taylor]: Taking taylor expansion of y in y 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 1 into 1 3.986 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 3.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 3.986 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.987 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 3.987 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.988 * [backup-simplify]: Simplify (+ 0) into 0 3.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 3.988 * [taylor]: Taking taylor expansion of 0 in y 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.989 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.990 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.990 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 3.991 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 3.991 * [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))) 3.991 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 3.991 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 3.991 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 3.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.991 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.991 * [taylor]: Taking taylor expansion of y in y 3.991 * [backup-simplify]: Simplify 0 into 0 3.991 * [backup-simplify]: Simplify 1 into 1 3.992 * [backup-simplify]: Simplify (* 1 1) into 1 3.992 * [backup-simplify]: Simplify (* 1 1) into 1 3.992 * [backup-simplify]: Simplify (/ 1 1) into 1 3.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.997 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 3.998 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 3.998 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 3.999 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 3.999 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 3.999 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 3.999 * [taylor]: Taking taylor expansion of 0.5 in y 3.999 * [backup-simplify]: Simplify 0.5 into 0.5 3.999 * [taylor]: Taking taylor expansion of (/ y x) in y 3.999 * [taylor]: Taking taylor expansion of y in y 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 3.999 * [taylor]: Taking taylor expansion of x in y 3.999 * [backup-simplify]: Simplify x into x 3.999 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.999 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.999 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 3.999 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 3.999 * [taylor]: Taking taylor expansion of 0.5 in y 3.999 * [backup-simplify]: Simplify 0.5 into 0.5 3.999 * [taylor]: Taking taylor expansion of (/ y x) in y 3.999 * [taylor]: Taking taylor expansion of y in y 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 3.999 * [taylor]: Taking taylor expansion of x in y 3.999 * [backup-simplify]: Simplify x into x 3.999 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.999 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.999 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 3.999 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 3.999 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 3.999 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 3.999 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 3.999 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 3.999 * [taylor]: Taking taylor expansion of 0.5 in x 3.999 * [backup-simplify]: Simplify 0.5 into 0.5 3.999 * [taylor]: Taking taylor expansion of (/ y x) in x 3.999 * [taylor]: Taking taylor expansion of y in x 4.000 * [backup-simplify]: Simplify y into y 4.000 * [taylor]: Taking taylor expansion of x in x 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [backup-simplify]: Simplify (/ y 1) into y 4.000 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.000 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.000 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.000 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.000 * [taylor]: Taking taylor expansion of 0.5 in x 4.000 * [backup-simplify]: Simplify 0.5 into 0.5 4.000 * [taylor]: Taking taylor expansion of (/ y x) in x 4.000 * [taylor]: Taking taylor expansion of y in x 4.000 * [backup-simplify]: Simplify y into y 4.000 * [taylor]: Taking taylor expansion of x in x 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [backup-simplify]: Simplify (/ y 1) into y 4.000 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.000 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.000 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.000 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.000 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.000 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.000 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.000 * [taylor]: Taking taylor expansion of 0.5 in x 4.000 * [backup-simplify]: Simplify 0.5 into 0.5 4.000 * [taylor]: Taking taylor expansion of (/ y x) in x 4.000 * [taylor]: Taking taylor expansion of y in x 4.000 * [backup-simplify]: Simplify y into y 4.000 * [taylor]: Taking taylor expansion of x in x 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [backup-simplify]: Simplify (/ y 1) into y 4.000 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.001 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.001 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.001 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.001 * [taylor]: Taking taylor expansion of 0.5 in x 4.001 * [backup-simplify]: Simplify 0.5 into 0.5 4.001 * [taylor]: Taking taylor expansion of (/ y x) in x 4.001 * [taylor]: Taking taylor expansion of y in x 4.001 * [backup-simplify]: Simplify y into y 4.001 * [taylor]: Taking taylor expansion of x in x 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (/ y 1) into y 4.001 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.001 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.001 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.001 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.001 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.001 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.001 * [taylor]: Taking taylor expansion of 0.5 in y 4.001 * [backup-simplify]: Simplify 0.5 into 0.5 4.001 * [taylor]: Taking taylor expansion of (/ y x) in y 4.001 * [taylor]: Taking taylor expansion of y in y 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [taylor]: Taking taylor expansion of x in y 4.001 * [backup-simplify]: Simplify x into x 4.001 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.001 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.001 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.001 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.001 * [taylor]: Taking taylor expansion of 0.5 in y 4.001 * [backup-simplify]: Simplify 0.5 into 0.5 4.001 * [taylor]: Taking taylor expansion of (/ y x) in y 4.001 * [taylor]: Taking taylor expansion of y in y 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [taylor]: Taking taylor expansion of x in y 4.001 * [backup-simplify]: Simplify x into x 4.002 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.002 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.002 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.002 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.002 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.002 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 4.002 * [taylor]: Taking taylor expansion of 0 in y 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify 0 into 0 4.002 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.003 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.003 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.004 * [backup-simplify]: Simplify (+ 0) into 0 4.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify 0 into 0 4.005 * [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 4.005 * [taylor]: Taking taylor expansion of 0 in y 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.005 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.006 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.006 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.007 * [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))) 4.007 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.008 * [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 4.008 * [taylor]: Taking taylor expansion of 0 in y 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.009 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.009 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.010 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.010 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.010 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.011 * [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 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [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 4.012 * [taylor]: Taking taylor expansion of 0 in y 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 4.013 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 4.013 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.013 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.013 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.013 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.013 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.013 * [taylor]: Taking taylor expansion of 0.5 in y 4.013 * [backup-simplify]: Simplify 0.5 into 0.5 4.013 * [taylor]: Taking taylor expansion of (/ y x) in y 4.013 * [taylor]: Taking taylor expansion of y in y 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [taylor]: Taking taylor expansion of x in y 4.013 * [backup-simplify]: Simplify x into x 4.013 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.013 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.013 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.013 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.013 * [taylor]: Taking taylor expansion of 0.5 in y 4.013 * [backup-simplify]: Simplify 0.5 into 0.5 4.013 * [taylor]: Taking taylor expansion of (/ y x) in y 4.013 * [taylor]: Taking taylor expansion of y in y 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 1 into 1 4.013 * [taylor]: Taking taylor expansion of x in y 4.013 * [backup-simplify]: Simplify x into x 4.013 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.013 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.013 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.013 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.014 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.014 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.014 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.014 * [taylor]: Taking taylor expansion of 0.5 in x 4.014 * [backup-simplify]: Simplify 0.5 into 0.5 4.014 * [taylor]: Taking taylor expansion of (/ y x) in x 4.014 * [taylor]: Taking taylor expansion of y in x 4.014 * [backup-simplify]: Simplify y into y 4.014 * [taylor]: Taking taylor expansion of x in x 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (/ y 1) into y 4.014 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.014 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.014 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.014 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.014 * [taylor]: Taking taylor expansion of 0.5 in x 4.014 * [backup-simplify]: Simplify 0.5 into 0.5 4.014 * [taylor]: Taking taylor expansion of (/ y x) in x 4.014 * [taylor]: Taking taylor expansion of y in x 4.014 * [backup-simplify]: Simplify y into y 4.014 * [taylor]: Taking taylor expansion of x in x 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [backup-simplify]: Simplify (/ y 1) into y 4.014 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.014 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.014 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.014 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.014 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.014 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.014 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.014 * [taylor]: Taking taylor expansion of 0.5 in x 4.014 * [backup-simplify]: Simplify 0.5 into 0.5 4.014 * [taylor]: Taking taylor expansion of (/ y x) in x 4.015 * [taylor]: Taking taylor expansion of y in x 4.015 * [backup-simplify]: Simplify y into y 4.015 * [taylor]: Taking taylor expansion of x in x 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (/ y 1) into y 4.015 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.015 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.015 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.015 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.015 * [taylor]: Taking taylor expansion of 0.5 in x 4.015 * [backup-simplify]: Simplify 0.5 into 0.5 4.015 * [taylor]: Taking taylor expansion of (/ y x) in x 4.015 * [taylor]: Taking taylor expansion of y in x 4.015 * [backup-simplify]: Simplify y into y 4.015 * [taylor]: Taking taylor expansion of x in x 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (/ y 1) into y 4.015 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.015 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.015 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.015 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.015 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.015 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.015 * [taylor]: Taking taylor expansion of 0.5 in y 4.015 * [backup-simplify]: Simplify 0.5 into 0.5 4.015 * [taylor]: Taking taylor expansion of (/ y x) in y 4.015 * [taylor]: Taking taylor expansion of y in y 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [taylor]: Taking taylor expansion of x in y 4.015 * [backup-simplify]: Simplify x into x 4.015 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.016 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.016 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.016 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.016 * [taylor]: Taking taylor expansion of 0.5 in y 4.016 * [backup-simplify]: Simplify 0.5 into 0.5 4.016 * [taylor]: Taking taylor expansion of (/ y x) in y 4.016 * [taylor]: Taking taylor expansion of y in y 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 1 into 1 4.016 * [taylor]: Taking taylor expansion of x in y 4.016 * [backup-simplify]: Simplify x into x 4.016 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.016 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.016 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.016 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.016 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.016 * [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 4.016 * [taylor]: Taking taylor expansion of 0 in y 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 0 into 0 4.017 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.017 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.018 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.018 * [backup-simplify]: Simplify (+ 0) into 0 4.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [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 4.019 * [taylor]: Taking taylor expansion of 0 in y 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.020 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.022 * [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))) 4.022 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.022 * [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 4.022 * [taylor]: Taking taylor expansion of 0 in y 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.024 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.024 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.025 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.025 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.026 * [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 4.026 * [backup-simplify]: Simplify 0 into 0 4.027 * [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 4.027 * [taylor]: Taking taylor expansion of 0 in y 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 4.027 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 4.027 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 4.027 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 4.027 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 4.027 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.027 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.027 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.027 * [taylor]: Taking taylor expansion of 0.5 in y 4.028 * [backup-simplify]: Simplify 0.5 into 0.5 4.028 * [taylor]: Taking taylor expansion of (/ x y) in y 4.028 * [taylor]: Taking taylor expansion of x in y 4.028 * [backup-simplify]: Simplify x into x 4.028 * [taylor]: Taking taylor expansion of y in y 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 1 into 1 4.028 * [backup-simplify]: Simplify (/ x 1) into x 4.028 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.028 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.028 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 4.028 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.028 * [taylor]: Taking taylor expansion of 0.5 in y 4.028 * [backup-simplify]: Simplify 0.5 into 0.5 4.028 * [taylor]: Taking taylor expansion of (/ x y) in y 4.028 * [taylor]: Taking taylor expansion of x in y 4.028 * [backup-simplify]: Simplify x into x 4.028 * [taylor]: Taking taylor expansion of y in y 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 1 into 1 4.028 * [backup-simplify]: Simplify (/ x 1) into x 4.028 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.028 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 4.028 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.028 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.028 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.028 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.028 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.028 * [taylor]: Taking taylor expansion of 0.5 in x 4.028 * [backup-simplify]: Simplify 0.5 into 0.5 4.028 * [taylor]: Taking taylor expansion of (/ x y) in x 4.028 * [taylor]: Taking taylor expansion of x in x 4.028 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify 1 into 1 4.028 * [taylor]: Taking taylor expansion of y in x 4.028 * [backup-simplify]: Simplify y into y 4.028 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.029 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.029 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.029 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.029 * [taylor]: Taking taylor expansion of 0.5 in x 4.029 * [backup-simplify]: Simplify 0.5 into 0.5 4.029 * [taylor]: Taking taylor expansion of (/ x y) in x 4.029 * [taylor]: Taking taylor expansion of x in x 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [taylor]: Taking taylor expansion of y in x 4.029 * [backup-simplify]: Simplify y into y 4.029 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.029 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.029 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.029 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.029 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.029 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.029 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.029 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.029 * [taylor]: Taking taylor expansion of 0.5 in x 4.029 * [backup-simplify]: Simplify 0.5 into 0.5 4.029 * [taylor]: Taking taylor expansion of (/ x y) in x 4.029 * [taylor]: Taking taylor expansion of x in x 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [taylor]: Taking taylor expansion of y in x 4.029 * [backup-simplify]: Simplify y into y 4.029 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.029 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.029 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.029 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.029 * [taylor]: Taking taylor expansion of 0.5 in x 4.029 * [backup-simplify]: Simplify 0.5 into 0.5 4.029 * [taylor]: Taking taylor expansion of (/ x y) in x 4.029 * [taylor]: Taking taylor expansion of x in x 4.029 * [backup-simplify]: Simplify 0 into 0 4.029 * [backup-simplify]: Simplify 1 into 1 4.029 * [taylor]: Taking taylor expansion of y in x 4.030 * [backup-simplify]: Simplify y into y 4.030 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.030 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.030 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.030 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.030 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 4.030 * [taylor]: Taking taylor expansion of 0.5 in y 4.030 * [backup-simplify]: Simplify 0.5 into 0.5 4.030 * [taylor]: Taking taylor expansion of y in y 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.030 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 4.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.031 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.032 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.032 * [backup-simplify]: Simplify (+ 0) into 0 4.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 4.033 * [taylor]: Taking taylor expansion of 0 in y 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.033 * [backup-simplify]: Simplify 0 into 0 4.034 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.034 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 4.035 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 4.036 * [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))) 4.036 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 4.036 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 4.036 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 4.036 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.036 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.036 * [taylor]: Taking taylor expansion of y in y 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.036 * [backup-simplify]: Simplify (* 1 1) into 1 4.037 * [backup-simplify]: Simplify (* 1 1) into 1 4.037 * [backup-simplify]: Simplify (/ 1 1) into 1 4.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 4.047 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.047 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.047 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.048 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.048 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.048 * [taylor]: Taking taylor expansion of 0.5 in y 4.048 * [backup-simplify]: Simplify 0.5 into 0.5 4.048 * [taylor]: Taking taylor expansion of (/ y x) in y 4.048 * [taylor]: Taking taylor expansion of y in y 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [taylor]: Taking taylor expansion of x in y 4.048 * [backup-simplify]: Simplify x into x 4.048 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.048 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.048 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.048 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.048 * [taylor]: Taking taylor expansion of 0.5 in y 4.048 * [backup-simplify]: Simplify 0.5 into 0.5 4.048 * [taylor]: Taking taylor expansion of (/ y x) in y 4.048 * [taylor]: Taking taylor expansion of y in y 4.048 * [backup-simplify]: Simplify 0 into 0 4.048 * [backup-simplify]: Simplify 1 into 1 4.048 * [taylor]: Taking taylor expansion of x in y 4.048 * [backup-simplify]: Simplify x into x 4.048 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.048 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.049 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.049 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.049 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.049 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.049 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.049 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.049 * [taylor]: Taking taylor expansion of 0.5 in x 4.049 * [backup-simplify]: Simplify 0.5 into 0.5 4.049 * [taylor]: Taking taylor expansion of (/ y x) in x 4.049 * [taylor]: Taking taylor expansion of y in x 4.049 * [backup-simplify]: Simplify y into y 4.049 * [taylor]: Taking taylor expansion of x in x 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.049 * [backup-simplify]: Simplify (/ y 1) into y 4.049 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.049 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.049 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.050 * [taylor]: Taking taylor expansion of 0.5 in x 4.050 * [backup-simplify]: Simplify 0.5 into 0.5 4.050 * [taylor]: Taking taylor expansion of (/ y x) in x 4.050 * [taylor]: Taking taylor expansion of y in x 4.050 * [backup-simplify]: Simplify y into y 4.050 * [taylor]: Taking taylor expansion of x in x 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (/ y 1) into y 4.050 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.050 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.050 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.050 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.050 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.050 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.050 * [taylor]: Taking taylor expansion of 0.5 in x 4.050 * [backup-simplify]: Simplify 0.5 into 0.5 4.051 * [taylor]: Taking taylor expansion of (/ y x) in x 4.051 * [taylor]: Taking taylor expansion of y in x 4.051 * [backup-simplify]: Simplify y into y 4.051 * [taylor]: Taking taylor expansion of x in x 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify (/ y 1) into y 4.051 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.051 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.051 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.051 * [taylor]: Taking taylor expansion of 0.5 in x 4.051 * [backup-simplify]: Simplify 0.5 into 0.5 4.051 * [taylor]: Taking taylor expansion of (/ y x) in x 4.051 * [taylor]: Taking taylor expansion of y in x 4.051 * [backup-simplify]: Simplify y into y 4.051 * [taylor]: Taking taylor expansion of x in x 4.051 * [backup-simplify]: Simplify 0 into 0 4.051 * [backup-simplify]: Simplify 1 into 1 4.051 * [backup-simplify]: Simplify (/ y 1) into y 4.051 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.051 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.052 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.052 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.052 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.052 * [taylor]: Taking taylor expansion of 0.5 in y 4.052 * [backup-simplify]: Simplify 0.5 into 0.5 4.052 * [taylor]: Taking taylor expansion of (/ y x) in y 4.052 * [taylor]: Taking taylor expansion of y in y 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [taylor]: Taking taylor expansion of x in y 4.052 * [backup-simplify]: Simplify x into x 4.052 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.052 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.052 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.052 * [taylor]: Taking taylor expansion of 0.5 in y 4.052 * [backup-simplify]: Simplify 0.5 into 0.5 4.052 * [taylor]: Taking taylor expansion of (/ y x) in y 4.052 * [taylor]: Taking taylor expansion of y in y 4.052 * [backup-simplify]: Simplify 0 into 0 4.052 * [backup-simplify]: Simplify 1 into 1 4.052 * [taylor]: Taking taylor expansion of x in y 4.053 * [backup-simplify]: Simplify x into x 4.053 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.053 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.053 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.053 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.053 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.054 * [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 4.054 * [taylor]: Taking taylor expansion of 0 in y 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.055 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.056 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.056 * [backup-simplify]: Simplify (+ 0) into 0 4.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [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 4.057 * [taylor]: Taking taylor expansion of 0 in y 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify 0 into 0 4.057 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.058 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.059 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.059 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.059 * [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))) 4.060 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.060 * [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 4.060 * [taylor]: Taking taylor expansion of 0 in y 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.061 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.062 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.062 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.063 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.063 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.064 * [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 4.064 * [backup-simplify]: Simplify 0 into 0 4.065 * [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 4.065 * [taylor]: Taking taylor expansion of 0 in y 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 4.065 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 4.065 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.065 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.066 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.066 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.066 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) 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 (/ y x) in y 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 * [taylor]: Taking taylor expansion of x in y 4.066 * [backup-simplify]: Simplify x into x 4.066 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.066 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.066 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.066 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) 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 (/ y x) in y 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 * [taylor]: Taking taylor expansion of x in y 4.066 * [backup-simplify]: Simplify x into x 4.066 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.066 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.066 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.066 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.066 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.066 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.066 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.066 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.066 * [taylor]: Taking taylor expansion of 0.5 in x 4.066 * [backup-simplify]: Simplify 0.5 into 0.5 4.066 * [taylor]: Taking taylor expansion of (/ y x) in x 4.066 * [taylor]: Taking taylor expansion of y in x 4.066 * [backup-simplify]: Simplify y into y 4.066 * [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 * [backup-simplify]: Simplify (/ y 1) into y 4.067 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.067 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.067 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.067 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) 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 (/ y x) in x 4.067 * [taylor]: Taking taylor expansion of y in x 4.067 * [backup-simplify]: Simplify y into y 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 * [backup-simplify]: Simplify (/ y 1) into y 4.067 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.067 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.067 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.067 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.067 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.067 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.067 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) 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 (/ y x) in x 4.067 * [taylor]: Taking taylor expansion of y in x 4.067 * [backup-simplify]: Simplify y into y 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 * [backup-simplify]: Simplify (/ y 1) into y 4.067 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.067 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.068 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.068 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) 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 (/ y x) in x 4.068 * [taylor]: Taking taylor expansion of y in x 4.068 * [backup-simplify]: Simplify y into y 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 * [backup-simplify]: Simplify (/ y 1) into y 4.068 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.068 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.068 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.068 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.068 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.068 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.068 * [taylor]: Taking taylor expansion of 0.5 in y 4.068 * [backup-simplify]: Simplify 0.5 into 0.5 4.068 * [taylor]: Taking taylor expansion of (/ y x) in y 4.068 * [taylor]: Taking taylor expansion of y in y 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.068 * [taylor]: Taking taylor expansion of x in y 4.068 * [backup-simplify]: Simplify x into x 4.068 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.068 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.068 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.068 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.068 * [taylor]: Taking taylor expansion of 0.5 in y 4.068 * [backup-simplify]: Simplify 0.5 into 0.5 4.068 * [taylor]: Taking taylor expansion of (/ y x) in y 4.068 * [taylor]: Taking taylor expansion of y in y 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.068 * [taylor]: Taking taylor expansion of x in y 4.068 * [backup-simplify]: Simplify x into x 4.068 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.069 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.069 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.069 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.069 * [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 4.069 * [taylor]: Taking taylor expansion of 0 in y 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.070 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.070 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.071 * [backup-simplify]: Simplify (+ 0) into 0 4.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.071 * [backup-simplify]: Simplify 0 into 0 4.072 * [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 4.072 * [taylor]: Taking taylor expansion of 0 in y 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.073 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.073 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.074 * [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))) 4.074 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.075 * [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 4.075 * [taylor]: Taking taylor expansion of 0 in y 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.076 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.077 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.077 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.078 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.079 * [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 4.079 * [backup-simplify]: Simplify 0 into 0 4.080 * [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 4.080 * [taylor]: Taking taylor expansion of 0 in y 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 4.080 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 4.081 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 4.081 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 4.081 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 4.081 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.081 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.081 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.081 * [taylor]: Taking taylor expansion of 0.5 in y 4.081 * [backup-simplify]: Simplify 0.5 into 0.5 4.081 * [taylor]: Taking taylor expansion of (/ x y) in y 4.081 * [taylor]: Taking taylor expansion of x in y 4.081 * [backup-simplify]: Simplify x into x 4.081 * [taylor]: Taking taylor expansion of y in y 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (/ x 1) into x 4.081 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.081 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.081 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 4.081 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.081 * [taylor]: Taking taylor expansion of 0.5 in y 4.081 * [backup-simplify]: Simplify 0.5 into 0.5 4.081 * [taylor]: Taking taylor expansion of (/ x y) in y 4.081 * [taylor]: Taking taylor expansion of x in y 4.081 * [backup-simplify]: Simplify x into x 4.081 * [taylor]: Taking taylor expansion of y in y 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (/ x 1) into x 4.081 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.081 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 4.081 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.081 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.082 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.082 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.082 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.082 * [taylor]: Taking taylor expansion of 0.5 in x 4.082 * [backup-simplify]: Simplify 0.5 into 0.5 4.082 * [taylor]: Taking taylor expansion of (/ x y) in x 4.082 * [taylor]: Taking taylor expansion of x in x 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.082 * [taylor]: Taking taylor expansion of y in x 4.082 * [backup-simplify]: Simplify y into y 4.082 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.082 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.082 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.082 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.082 * [taylor]: Taking taylor expansion of 0.5 in x 4.082 * [backup-simplify]: Simplify 0.5 into 0.5 4.082 * [taylor]: Taking taylor expansion of (/ x y) in x 4.082 * [taylor]: Taking taylor expansion of x in x 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.082 * [taylor]: Taking taylor expansion of y in x 4.082 * [backup-simplify]: Simplify y into y 4.082 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.082 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.082 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.082 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.082 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 4.082 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 4.082 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.082 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.082 * [taylor]: Taking taylor expansion of 0.5 in x 4.082 * [backup-simplify]: Simplify 0.5 into 0.5 4.082 * [taylor]: Taking taylor expansion of (/ x y) in x 4.082 * [taylor]: Taking taylor expansion of x in x 4.082 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [taylor]: Taking taylor expansion of y in x 4.083 * [backup-simplify]: Simplify y into y 4.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.083 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.083 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 4.083 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.083 * [taylor]: Taking taylor expansion of 0.5 in x 4.083 * [backup-simplify]: Simplify 0.5 into 0.5 4.083 * [taylor]: Taking taylor expansion of (/ x y) in x 4.083 * [taylor]: Taking taylor expansion of x in x 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [taylor]: Taking taylor expansion of y in x 4.083 * [backup-simplify]: Simplify y into y 4.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.083 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.083 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.083 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 4.083 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 4.083 * [taylor]: Taking taylor expansion of 0.5 in y 4.083 * [backup-simplify]: Simplify 0.5 into 0.5 4.083 * [taylor]: Taking taylor expansion of y in y 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 4.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.085 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.085 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.085 * [backup-simplify]: Simplify (+ 0) into 0 4.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 4.086 * [taylor]: Taking taylor expansion of 0 in y 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.087 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.088 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 4.088 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 4.089 * [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))) 4.151 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 4.151 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 4.151 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 4.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 4.151 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.151 * [taylor]: Taking taylor expansion of y in y 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (* 1 1) into 1 4.152 * [backup-simplify]: Simplify (* 1 1) into 1 4.152 * [backup-simplify]: Simplify (/ 1 1) into 1 4.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.162 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.162 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify 0 into 0 4.163 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 4.163 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.163 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.163 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.163 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.163 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.163 * [taylor]: Taking taylor expansion of 0.5 in y 4.163 * [backup-simplify]: Simplify 0.5 into 0.5 4.163 * [taylor]: Taking taylor expansion of (/ y x) in y 4.163 * [taylor]: Taking taylor expansion of y in y 4.163 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 1 into 1 4.164 * [taylor]: Taking taylor expansion of x in y 4.164 * [backup-simplify]: Simplify x into x 4.164 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.164 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.164 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.164 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.164 * [taylor]: Taking taylor expansion of 0.5 in y 4.164 * [backup-simplify]: Simplify 0.5 into 0.5 4.164 * [taylor]: Taking taylor expansion of (/ y x) in y 4.164 * [taylor]: Taking taylor expansion of y in y 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 1 into 1 4.164 * [taylor]: Taking taylor expansion of x in y 4.164 * [backup-simplify]: Simplify x into x 4.164 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.164 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.164 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.164 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.164 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.164 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.164 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.164 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.164 * [taylor]: Taking taylor expansion of 0.5 in x 4.164 * [backup-simplify]: Simplify 0.5 into 0.5 4.164 * [taylor]: Taking taylor expansion of (/ y x) in x 4.164 * [taylor]: Taking taylor expansion of y in x 4.164 * [backup-simplify]: Simplify y into y 4.164 * [taylor]: Taking taylor expansion of x in x 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 1 into 1 4.164 * [backup-simplify]: Simplify (/ y 1) into y 4.164 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.165 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.165 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.165 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.165 * [taylor]: Taking taylor expansion of 0.5 in x 4.165 * [backup-simplify]: Simplify 0.5 into 0.5 4.165 * [taylor]: Taking taylor expansion of (/ y x) in x 4.165 * [taylor]: Taking taylor expansion of y in x 4.165 * [backup-simplify]: Simplify y into y 4.165 * [taylor]: Taking taylor expansion of x in x 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 1 into 1 4.165 * [backup-simplify]: Simplify (/ y 1) into y 4.165 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.165 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.165 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.165 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.165 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.165 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.165 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.165 * [taylor]: Taking taylor expansion of 0.5 in x 4.165 * [backup-simplify]: Simplify 0.5 into 0.5 4.165 * [taylor]: Taking taylor expansion of (/ y x) in x 4.165 * [taylor]: Taking taylor expansion of y in x 4.165 * [backup-simplify]: Simplify y into y 4.165 * [taylor]: Taking taylor expansion of x in x 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 1 into 1 4.165 * [backup-simplify]: Simplify (/ y 1) into y 4.165 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.165 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.165 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.165 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.165 * [taylor]: Taking taylor expansion of 0.5 in x 4.165 * [backup-simplify]: Simplify 0.5 into 0.5 4.165 * [taylor]: Taking taylor expansion of (/ y x) in x 4.165 * [taylor]: Taking taylor expansion of y in x 4.165 * [backup-simplify]: Simplify y into y 4.165 * [taylor]: Taking taylor expansion of x in x 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.166 * [backup-simplify]: Simplify (/ y 1) into y 4.166 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.166 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.166 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.166 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.166 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.166 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.166 * [taylor]: Taking taylor expansion of 0.5 in y 4.166 * [backup-simplify]: Simplify 0.5 into 0.5 4.166 * [taylor]: Taking taylor expansion of (/ y x) in y 4.166 * [taylor]: Taking taylor expansion of y in y 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.166 * [taylor]: Taking taylor expansion of x in y 4.166 * [backup-simplify]: Simplify x into x 4.166 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.166 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.166 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.166 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.166 * [taylor]: Taking taylor expansion of 0.5 in y 4.166 * [backup-simplify]: Simplify 0.5 into 0.5 4.166 * [taylor]: Taking taylor expansion of (/ y x) in y 4.166 * [taylor]: Taking taylor expansion of y in y 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.166 * [taylor]: Taking taylor expansion of x in y 4.166 * [backup-simplify]: Simplify x into x 4.166 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.166 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.167 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.167 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.167 * [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 4.167 * [taylor]: Taking taylor expansion of 0 in y 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.167 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.168 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.168 * [backup-simplify]: Simplify (+ 0) into 0 4.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 4.169 * [taylor]: Taking taylor expansion of 0 in y 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.170 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.171 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.171 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.171 * [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))) 4.172 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.172 * [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 4.172 * [taylor]: Taking taylor expansion of 0 in y 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.173 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.174 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.174 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.174 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.175 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.176 * [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 4.176 * [backup-simplify]: Simplify 0 into 0 4.177 * [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 4.177 * [taylor]: Taking taylor expansion of 0 in y 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 4.178 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 4.178 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 4.178 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 4.178 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.178 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.178 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.178 * [taylor]: Taking taylor expansion of 0.5 in y 4.178 * [backup-simplify]: Simplify 0.5 into 0.5 4.178 * [taylor]: Taking taylor expansion of (/ y x) in y 4.178 * [taylor]: Taking taylor expansion of y in y 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of x in y 4.178 * [backup-simplify]: Simplify x into x 4.178 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.178 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.178 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.178 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.178 * [taylor]: Taking taylor expansion of 0.5 in y 4.178 * [backup-simplify]: Simplify 0.5 into 0.5 4.178 * [taylor]: Taking taylor expansion of (/ y x) in y 4.178 * [taylor]: Taking taylor expansion of y in y 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.179 * [taylor]: Taking taylor expansion of x in y 4.179 * [backup-simplify]: Simplify x into x 4.179 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.179 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.179 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.179 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.179 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.179 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.179 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.179 * [taylor]: Taking taylor expansion of 0.5 in x 4.179 * [backup-simplify]: Simplify 0.5 into 0.5 4.179 * [taylor]: Taking taylor expansion of (/ y x) in x 4.179 * [taylor]: Taking taylor expansion of y in x 4.179 * [backup-simplify]: Simplify y into y 4.179 * [taylor]: Taking taylor expansion of x in x 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify (/ y 1) into y 4.180 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.180 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.180 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.180 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.180 * [taylor]: Taking taylor expansion of 0.5 in x 4.180 * [backup-simplify]: Simplify 0.5 into 0.5 4.180 * [taylor]: Taking taylor expansion of (/ y x) in x 4.180 * [taylor]: Taking taylor expansion of y in x 4.180 * [backup-simplify]: Simplify y into y 4.180 * [taylor]: Taking taylor expansion of x in x 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.180 * [backup-simplify]: Simplify (/ y 1) into y 4.180 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.180 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.180 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.180 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 4.180 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.181 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.181 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.181 * [taylor]: Taking taylor expansion of 0.5 in x 4.181 * [backup-simplify]: Simplify 0.5 into 0.5 4.181 * [taylor]: Taking taylor expansion of (/ y x) in x 4.181 * [taylor]: Taking taylor expansion of y in x 4.181 * [backup-simplify]: Simplify y into y 4.181 * [taylor]: Taking taylor expansion of x in x 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (/ y 1) into y 4.181 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.181 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.181 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 4.181 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.181 * [taylor]: Taking taylor expansion of 0.5 in x 4.181 * [backup-simplify]: Simplify 0.5 into 0.5 4.181 * [taylor]: Taking taylor expansion of (/ y x) in x 4.181 * [taylor]: Taking taylor expansion of y in x 4.181 * [backup-simplify]: Simplify y into y 4.181 * [taylor]: Taking taylor expansion of x in x 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (/ y 1) into y 4.181 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.181 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 4.182 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 4.182 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 4.182 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.182 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.182 * [taylor]: Taking taylor expansion of 0.5 in y 4.182 * [backup-simplify]: Simplify 0.5 into 0.5 4.182 * [taylor]: Taking taylor expansion of (/ y x) in y 4.182 * [taylor]: Taking taylor expansion of y in y 4.182 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify 1 into 1 4.182 * [taylor]: Taking taylor expansion of x in y 4.182 * [backup-simplify]: Simplify x into x 4.182 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.182 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.182 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 4.182 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.182 * [taylor]: Taking taylor expansion of 0.5 in y 4.182 * [backup-simplify]: Simplify 0.5 into 0.5 4.182 * [taylor]: Taking taylor expansion of (/ y x) in y 4.182 * [taylor]: Taking taylor expansion of y in y 4.182 * [backup-simplify]: Simplify 0 into 0 4.182 * [backup-simplify]: Simplify 1 into 1 4.182 * [taylor]: Taking taylor expansion of x in y 4.182 * [backup-simplify]: Simplify x into x 4.182 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.182 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.183 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.183 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 4.183 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 4.183 * [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 4.183 * [taylor]: Taking taylor expansion of 0 in y 4.183 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.184 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.185 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.185 * [backup-simplify]: Simplify (+ 0) into 0 4.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.187 * [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 4.187 * [taylor]: Taking taylor expansion of 0 in y 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.188 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.189 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 4.190 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 4.191 * [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))) 4.191 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 4.192 * [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))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 4.192 * [taylor]: Taking taylor expansion of 0 in y 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.193 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.195 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.195 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.195 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.196 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.198 * [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 4.198 * [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))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 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 (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 4.200 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.200 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 4.200 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 4.200 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 4.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 4.200 * [taylor]: Taking taylor expansion of 0.5 in y 4.200 * [backup-simplify]: Simplify 0.5 into 0.5 4.200 * [taylor]: Taking taylor expansion of (/ x y) in y 4.200 * [taylor]: Taking taylor expansion of x in y 4.200 * [backup-simplify]: Simplify x into x 4.200 * [taylor]: Taking taylor expansion of y in y 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 1 into 1 4.200 * [backup-simplify]: Simplify (/ x 1) into x 4.200 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 4.200 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 4.200 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.200 * [taylor]: Taking taylor expansion of 0.5 in x 4.201 * [backup-simplify]: Simplify 0.5 into 0.5 4.201 * [taylor]: Taking taylor expansion of (/ x y) in x 4.201 * [taylor]: Taking taylor expansion of x in x 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [taylor]: Taking taylor expansion of y in x 4.201 * [backup-simplify]: Simplify y into y 4.201 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.201 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.201 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 4.201 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 4.201 * [taylor]: Taking taylor expansion of 0.5 in x 4.201 * [backup-simplify]: Simplify 0.5 into 0.5 4.201 * [taylor]: Taking taylor expansion of (/ x y) in x 4.201 * [taylor]: Taking taylor expansion of x in x 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [taylor]: Taking taylor expansion of y in x 4.201 * [backup-simplify]: Simplify y into y 4.201 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.201 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 4.201 * [taylor]: Taking taylor expansion of 0 in y 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 4.202 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 4.202 * [taylor]: Taking taylor expansion of 0.5 in y 4.202 * [backup-simplify]: Simplify 0.5 into 0.5 4.202 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.202 * [taylor]: Taking taylor expansion of y in y 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (/ 1 1) into 1 4.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.205 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 4.205 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 4.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.207 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 4.208 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 4.208 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.208 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.208 * [taylor]: Taking taylor expansion of 0.5 in y 4.208 * [backup-simplify]: Simplify 0.5 into 0.5 4.208 * [taylor]: Taking taylor expansion of (/ y x) in y 4.208 * [taylor]: Taking taylor expansion of y in y 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [taylor]: Taking taylor expansion of x in y 4.208 * [backup-simplify]: Simplify x into x 4.208 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.208 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 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 * [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 4.209 * [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 (sin (* 0.5 (/ y x))) in y 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.209 * [taylor]: Taking taylor expansion of 0.5 in y 4.209 * [backup-simplify]: Simplify 0.5 into 0.5 4.209 * [taylor]: Taking taylor expansion of (/ y x) in y 4.209 * [taylor]: Taking taylor expansion of y in y 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [taylor]: Taking taylor expansion of x in y 4.209 * [backup-simplify]: Simplify x into x 4.209 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.209 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [taylor]: Taking taylor expansion of 0 in y 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.210 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.210 * [taylor]: Taking taylor expansion of 0 in y 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.210 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 4.211 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.211 * [backup-simplify]: Simplify 0 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 4.211 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 4.212 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 4.212 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 4.212 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.212 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.212 * [taylor]: Taking taylor expansion of 0.5 in y 4.212 * [backup-simplify]: Simplify 0.5 into 0.5 4.212 * [taylor]: Taking taylor expansion of (/ y x) in y 4.212 * [taylor]: Taking taylor expansion of y in y 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [taylor]: Taking taylor expansion of x in y 4.212 * [backup-simplify]: Simplify x into x 4.212 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.212 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.212 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.212 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.212 * [taylor]: Taking taylor expansion of 0.5 in x 4.212 * [backup-simplify]: Simplify 0.5 into 0.5 4.212 * [taylor]: Taking taylor expansion of (/ y x) in x 4.212 * [taylor]: Taking taylor expansion of y in x 4.212 * [backup-simplify]: Simplify y into y 4.212 * [taylor]: Taking taylor expansion of x in x 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [backup-simplify]: Simplify (/ y 1) into y 4.213 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.213 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.213 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 4.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 4.213 * [taylor]: Taking taylor expansion of 0.5 in x 4.213 * [backup-simplify]: Simplify 0.5 into 0.5 4.213 * [taylor]: Taking taylor expansion of (/ y x) in x 4.213 * [taylor]: Taking taylor expansion of y in x 4.213 * [backup-simplify]: Simplify y into y 4.213 * [taylor]: Taking taylor expansion of x in x 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify 1 into 1 4.213 * [backup-simplify]: Simplify (/ y 1) into y 4.213 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 4.213 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 4.213 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 4.213 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 4.213 * [taylor]: Taking taylor expansion of 0.5 in y 4.213 * [backup-simplify]: Simplify 0.5 into 0.5 4.213 * [taylor]: Taking taylor expansion of (/ y x) in y 4.213 * [taylor]: Taking taylor expansion of y in y 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify 1 into 1 4.213 * [taylor]: Taking taylor expansion of x in y 4.213 * [backup-simplify]: Simplify x into x 4.213 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.213 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.214 * [backup-simplify]: Simplify 0 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 (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 4.214 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 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 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 1) 1))) into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [taylor]: Taking taylor expansion of 0 in y 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 4.216 * * * [progress]: simplifying candidates 4.217 * [simplify]: Simplifying: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 4.218 * * [simplify]: Extracting # 0 : cost 0 4.218 * * [simplify]: Extracting # 1 : cost 0 4.218 * * [simplify]: Extracting # 2 : cost 0 4.218 * * [simplify]: Extracting # 3 : cost 0 4.218 * * [simplify]: Extracting # 4 : cost 0 4.218 * * [simplify]: Extracting # 5 : cost 0 4.218 * * [simplify]: Extracting # 6 : cost 0 4.218 * * [simplify]: Extracting # 7 : cost 0 4.219 * * [simplify]: iteration 0 : 33 enodes (cost 420 ) 4.228 * * [simplify]: Extracting # 0 : cost 0 4.228 * * [simplify]: Extracting # 1 : cost 0 4.229 * * [simplify]: Extracting # 2 : cost 0 4.229 * * [simplify]: Extracting # 3 : cost 0 4.229 * * [simplify]: iteration 1 : 57 enodes (cost 420 ) 4.251 * * [simplify]: Extracting # 0 : cost 0 4.251 * * [simplify]: Extracting # 1 : cost 0 4.251 * * [simplify]: Extracting # 2 : cost 0 4.252 * * [simplify]: Extracting # 3 : cost 0 4.252 * * [simplify]: iteration 2 : 131 enodes (cost 372 ) 4.337 * * [simplify]: Extracting # 0 : cost 0 4.337 * * [simplify]: Extracting # 1 : cost 0 4.339 * * [simplify]: Extracting # 2 : cost 0 4.340 * * [simplify]: Extracting # 3 : cost 0 4.341 * * [simplify]: Extracting # 4 : cost 0 4.342 * * [simplify]: iteration 3 : 490 enodes (cost 372 ) 4.802 * * [simplify]: Extracting # 0 : cost 0 4.805 * * [simplify]: Extracting # 1 : cost 0 4.807 * * [simplify]: Extracting # 2 : cost 0 4.810 * * [simplify]: Extracting # 3 : cost 0 4.812 * * [simplify]: Extracting # 4 : cost 0 4.815 * * [simplify]: iteration 4 : 2440 enodes (cost 360 ) 6.046 * * [simplify]: Extracting # 0 : cost 0 6.054 * * [simplify]: Extracting # 1 : cost 0 6.059 * * [simplify]: Extracting # 2 : cost 0 6.065 * * [simplify]: Extracting # 3 : cost 0 6.073 * * [simplify]: iteration done: 5000 enodes (cost 360 ) 6.073 * [simplify]: Simplified to: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (pow (sin (/ x (* y 2.0))) 3) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (pow (/ x y) 3))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 6.074 * * * [progress]: adding candidates to table 6.304 * [progress]: [Phase 3 of 3] Extracting. 6.304 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 6.314 * * * [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) 6.314 * * * * [regimes]: Trying to branch on (* y 2.0) from (# # # # # # # # # # # # # # # #) 6.388 * * * * [regimes]: Trying to branch on (/ x (* y 2.0)) from (# # # # # # # # # # # # # # # #) 6.509 * * * * [regimes]: Trying to branch on (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) from (# # # # # # # # # # # # # # # #) 6.599 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # # # # #) 6.661 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # #) 6.755 * * * [regime]: Found split indices: #