18.263 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.178 * * * [progress]: [2/2] Setting up program. 0.187 * [progress]: [Phase 2 of 3] Improving. 0.187 * [simplify]: Simplifying: (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0.188 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.188 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.188 * * [simplify]: Extracting # 2 : cost 4 inf + 0 0.188 * * [simplify]: Extracting # 3 : cost 6 inf + 0 0.188 * * [simplify]: Extracting # 4 : cost 7 inf + 1 0.188 * * [simplify]: Extracting # 5 : cost 0 inf + 727 0.188 * * [simplify]: iteration 0 : 8 enodes (cost 278 ) 0.190 * * [simplify]: Extracting # 0 : cost 0 inf + 727 0.190 * * [simplify]: Extracting # 1 : cost 1 inf + 727 0.190 * * [simplify]: Extracting # 2 : cost 0 inf + 769 0.190 * * [simplify]: iteration 1 : 11 enodes (cost 278 ) 0.192 * * [simplify]: Extracting # 0 : cost 0 inf + 769 0.192 * * [simplify]: iteration complete: 11 enodes (cost 278 ) 0.192 * [simplify]: Simplified to: (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0.192 * * [progress]: iteration 1 / 4 0.192 * * * [progress]: picking best candidate 0.196 * * * * [pick]: Picked # 0.196 * * * [progress]: localizing error 0.211 * * * [progress]: generating rewritten candidates 0.211 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.214 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.218 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.228 * * * [progress]: generating series expansions 0.228 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.228 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 0.228 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 0.228 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.229 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.229 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.229 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.229 * [taylor]: Taking taylor expansion of 0.5 in y 0.229 * [backup-simplify]: Simplify 0.5 into 0.5 0.229 * [taylor]: Taking taylor expansion of (/ x y) in y 0.229 * [taylor]: Taking taylor expansion of x in y 0.229 * [backup-simplify]: Simplify x into x 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ x 1) into x 0.229 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.229 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.229 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.229 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.229 * [taylor]: Taking taylor expansion of 0.5 in y 0.229 * [backup-simplify]: Simplify 0.5 into 0.5 0.229 * [taylor]: Taking taylor expansion of (/ x y) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [backup-simplify]: Simplify x into x 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ x 1) into x 0.230 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.230 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.230 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.230 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.230 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.230 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.230 * [taylor]: Taking taylor expansion of 0.5 in x 0.230 * [backup-simplify]: Simplify 0.5 into 0.5 0.230 * [taylor]: Taking taylor expansion of (/ x y) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [backup-simplify]: Simplify y into y 0.230 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.230 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.230 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.230 * [taylor]: Taking taylor expansion of 0.5 in x 0.230 * [backup-simplify]: Simplify 0.5 into 0.5 0.230 * [taylor]: Taking taylor expansion of (/ x y) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [backup-simplify]: Simplify y into y 0.230 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.230 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.231 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.231 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.231 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.231 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.231 * [taylor]: Taking taylor expansion of 0.5 in x 0.231 * [backup-simplify]: Simplify 0.5 into 0.5 0.231 * [taylor]: Taking taylor expansion of (/ x y) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [backup-simplify]: Simplify y into y 0.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.231 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.231 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.231 * [taylor]: Taking taylor expansion of 0.5 in x 0.231 * [backup-simplify]: Simplify 0.5 into 0.5 0.231 * [taylor]: Taking taylor expansion of (/ x y) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [backup-simplify]: Simplify y into y 0.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.231 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.231 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.231 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 0.231 * [taylor]: Taking taylor expansion of 0.5 in y 0.232 * [backup-simplify]: Simplify 0.5 into 0.5 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [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 0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.234 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.237 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.237 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 0.237 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 0.237 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 0.237 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.237 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (* 1 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 0.244 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.244 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.244 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.244 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.244 * [taylor]: Taking taylor expansion of 0.5 in y 0.244 * [backup-simplify]: Simplify 0.5 into 0.5 0.244 * [taylor]: Taking taylor expansion of (/ y x) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [backup-simplify]: Simplify x into x 0.245 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.245 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.245 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.245 * [taylor]: Taking taylor expansion of 0.5 in y 0.245 * [backup-simplify]: Simplify 0.5 into 0.5 0.245 * [taylor]: Taking taylor expansion of (/ y x) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [backup-simplify]: Simplify x into x 0.245 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.245 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.245 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.245 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.245 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.245 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.245 * [taylor]: Taking taylor expansion of 0.5 in x 0.245 * [backup-simplify]: Simplify 0.5 into 0.5 0.245 * [taylor]: Taking taylor expansion of (/ y x) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [backup-simplify]: Simplify y into y 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ y 1) into y 0.245 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.245 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.245 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.246 * [taylor]: Taking taylor expansion of 0.5 in x 0.246 * [backup-simplify]: Simplify 0.5 into 0.5 0.246 * [taylor]: Taking taylor expansion of (/ y x) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [backup-simplify]: Simplify y into y 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ y 1) into y 0.246 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.246 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.246 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.246 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 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 x 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.246 * [taylor]: Taking taylor expansion of 0.5 in x 0.246 * [backup-simplify]: Simplify 0.5 into 0.5 0.246 * [taylor]: Taking taylor expansion of (/ y x) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [backup-simplify]: Simplify y into y 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ y 1) into y 0.246 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.246 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.246 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.246 * [taylor]: Taking taylor expansion of 0.5 in x 0.246 * [backup-simplify]: Simplify 0.5 into 0.5 0.246 * [taylor]: Taking taylor expansion of (/ y x) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [backup-simplify]: Simplify y into y 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ y 1) into y 0.247 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.247 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.247 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.247 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.247 * [taylor]: Taking taylor expansion of (sin (* 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 * [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) 0.248 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.248 * [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 0.248 * [taylor]: Taking taylor expansion of 0 in y 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.249 * [backup-simplify]: Simplify (+ 0) into 0 0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify 0 into 0 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))))) (* 0 (/ 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 into 0 0.250 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.252 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.252 * [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))) 0.252 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.253 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.256 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.259 * [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 0.260 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0.261 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 0.261 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 0.261 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 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 y 0.261 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.261 * [taylor]: Taking taylor expansion of 0.5 in y 0.261 * [backup-simplify]: Simplify 0.5 into 0.5 0.261 * [taylor]: Taking taylor expansion of (/ y x) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [taylor]: Taking taylor expansion of x in y 0.262 * [backup-simplify]: Simplify x into x 0.262 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.262 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.262 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.262 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.262 * [taylor]: Taking taylor expansion of 0.5 in y 0.262 * [backup-simplify]: Simplify 0.5 into 0.5 0.262 * [taylor]: Taking taylor expansion of (/ y x) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [backup-simplify]: Simplify x into x 0.262 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.262 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.262 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.262 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.263 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.263 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.263 * [taylor]: Taking taylor expansion of 0.5 in x 0.263 * [backup-simplify]: Simplify 0.5 into 0.5 0.263 * [taylor]: Taking taylor expansion of (/ y x) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ y 1) into y 0.263 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.263 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.263 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.263 * [taylor]: Taking taylor expansion of 0.5 in x 0.263 * [backup-simplify]: Simplify 0.5 into 0.5 0.263 * [taylor]: Taking taylor expansion of (/ y x) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [backup-simplify]: Simplify y into y 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ y 1) into y 0.263 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.264 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.264 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.264 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.264 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.264 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.264 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.264 * [taylor]: Taking taylor expansion of 0.5 in x 0.264 * [backup-simplify]: Simplify 0.5 into 0.5 0.264 * [taylor]: Taking taylor expansion of (/ y x) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [backup-simplify]: Simplify y into y 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ y 1) into y 0.264 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.264 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.264 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.265 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.265 * [taylor]: Taking taylor expansion of 0.5 in x 0.265 * [backup-simplify]: Simplify 0.5 into 0.5 0.265 * [taylor]: Taking taylor expansion of (/ y x) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [backup-simplify]: Simplify y into y 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ y 1) into y 0.265 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.265 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.265 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.265 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 0.265 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.265 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.265 * [taylor]: Taking taylor expansion of 0.5 in y 0.265 * [backup-simplify]: Simplify 0.5 into 0.5 0.265 * [taylor]: Taking taylor expansion of (/ y x) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [backup-simplify]: Simplify x into x 0.266 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.266 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.266 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.266 * [taylor]: Taking taylor expansion of 0.5 in y 0.266 * [backup-simplify]: Simplify 0.5 into 0.5 0.266 * [taylor]: Taking taylor expansion of (/ y x) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [backup-simplify]: Simplify x into x 0.266 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.266 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.266 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.267 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 0.267 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.277 * [backup-simplify]: Simplify (+ 0) into 0 0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [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 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 0.281 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.281 * [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))) 0.281 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 0.282 * [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 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.284 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.284 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.286 * [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 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.286 * [taylor]: Taking taylor expansion of 0 in y 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0.287 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.287 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 0.287 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 0.287 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.287 * [taylor]: Taking taylor expansion of 0.5 in y 0.287 * [backup-simplify]: Simplify 0.5 into 0.5 0.287 * [taylor]: Taking taylor expansion of (/ x y) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [backup-simplify]: Simplify x into x 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ x 1) into x 0.287 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.287 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 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 (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 0.288 * [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 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.288 * [taylor]: Taking taylor expansion of 0.5 in y 0.288 * [backup-simplify]: Simplify 0.5 into 0.5 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 0.292 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.292 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.292 * [taylor]: Taking taylor expansion of 0.5 in y 0.292 * [backup-simplify]: Simplify 0.5 into 0.5 0.292 * [taylor]: Taking taylor expansion of (/ y x) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [backup-simplify]: Simplify x into x 0.292 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.292 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.292 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.292 * [taylor]: Taking taylor expansion of 0.5 in x 0.292 * [backup-simplify]: Simplify 0.5 into 0.5 0.292 * [taylor]: Taking taylor expansion of (/ y x) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [backup-simplify]: Simplify y into y 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ y 1) into y 0.292 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.292 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.292 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.292 * [taylor]: Taking taylor expansion of 0.5 in x 0.292 * [backup-simplify]: Simplify 0.5 into 0.5 0.292 * [taylor]: Taking taylor expansion of (/ y x) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [backup-simplify]: Simplify y into y 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (/ y 1) into y 0.292 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.293 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.293 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.293 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.293 * [taylor]: Taking taylor expansion of 0.5 in y 0.293 * [backup-simplify]: Simplify 0.5 into 0.5 0.293 * [taylor]: Taking taylor expansion of (/ y x) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [backup-simplify]: Simplify x into x 0.293 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.293 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.293 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 0.295 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 0.295 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 0.295 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.295 * [taylor]: Taking taylor expansion of 0.5 in y 0.295 * [backup-simplify]: Simplify 0.5 into 0.5 0.295 * [taylor]: Taking taylor expansion of (/ y x) 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 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [backup-simplify]: Simplify x into x 0.295 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.295 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.295 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.295 * [taylor]: Taking taylor expansion of 0.5 in x 0.295 * [backup-simplify]: Simplify 0.5 into 0.5 0.295 * [taylor]: Taking taylor expansion of (/ y x) in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [backup-simplify]: Simplify y into y 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ y 1) into y 0.295 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.295 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.295 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.295 * [taylor]: Taking taylor expansion of 0.5 in x 0.295 * [backup-simplify]: Simplify 0.5 into 0.5 0.295 * [taylor]: Taking taylor expansion of (/ y x) in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [backup-simplify]: Simplify y into y 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ y 1) into y 0.295 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.295 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.296 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.296 * [taylor]: Taking taylor expansion of 0.5 in y 0.296 * [backup-simplify]: Simplify 0.5 into 0.5 0.296 * [taylor]: Taking taylor expansion of (/ y x) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [backup-simplify]: Simplify x into x 0.296 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.296 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.296 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 0.297 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.298 * [backup-simplify]: Simplify (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) into (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) 0.298 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0 0.298 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.298 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.298 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.298 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.298 * [taylor]: Taking taylor expansion of 0.5 in y 0.298 * [backup-simplify]: Simplify 0.5 into 0.5 0.298 * [taylor]: Taking taylor expansion of (/ x y) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [backup-simplify]: Simplify x into x 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (/ x 1) into x 0.298 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.298 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.298 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.298 * [taylor]: Taking taylor expansion of 0.5 in y 0.298 * [backup-simplify]: Simplify 0.5 into 0.5 0.298 * [taylor]: Taking taylor expansion of (/ x y) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [backup-simplify]: Simplify x into x 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (/ x 1) into x 0.298 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.298 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 0.299 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.299 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.299 * [taylor]: Taking taylor expansion of 0.5 in y 0.299 * [backup-simplify]: Simplify 0.5 into 0.5 0.299 * [taylor]: Taking taylor expansion of (/ x y) in y 0.299 * [taylor]: Taking taylor expansion of x in y 0.299 * [backup-simplify]: Simplify x into x 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ x 1) into x 0.299 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 0.299 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 0.299 * [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)))) 0.299 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.299 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.299 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.299 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.299 * [taylor]: Taking taylor expansion of 0.5 in x 0.299 * [backup-simplify]: Simplify 0.5 into 0.5 0.299 * [taylor]: Taking taylor expansion of (/ x y) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [backup-simplify]: Simplify y into y 0.299 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.299 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.299 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.299 * [taylor]: Taking taylor expansion of 0.5 in x 0.299 * [backup-simplify]: Simplify 0.5 into 0.5 0.299 * [taylor]: Taking taylor expansion of (/ x y) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [backup-simplify]: Simplify y into y 0.300 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.300 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.300 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.300 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.300 * [taylor]: Taking taylor expansion of 0.5 in x 0.300 * [backup-simplify]: Simplify 0.5 into 0.5 0.300 * [taylor]: Taking taylor expansion of (/ x y) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of y in x 0.300 * [backup-simplify]: Simplify y into y 0.300 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.300 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.300 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.300 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in x 0.300 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 0.300 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 0.300 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.300 * [taylor]: Taking taylor expansion of 0.5 in x 0.300 * [backup-simplify]: Simplify 0.5 into 0.5 0.301 * [taylor]: Taking taylor expansion of (/ x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.301 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.301 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.301 * [taylor]: Taking taylor expansion of 0.5 in x 0.301 * [backup-simplify]: Simplify 0.5 into 0.5 0.301 * [taylor]: Taking taylor expansion of (/ x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.301 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.301 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 0.301 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.301 * [taylor]: Taking taylor expansion of 0.5 in x 0.301 * [backup-simplify]: Simplify 0.5 into 0.5 0.301 * [taylor]: Taking taylor expansion of (/ x y) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.301 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.301 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 0.302 * [backup-simplify]: Simplify (/ (/ 0.5 y) (* 0.5 (/ 1 y))) into 1.0 0.302 * [taylor]: Taking taylor expansion of 1.0 in y 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.302 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.303 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.303 * [backup-simplify]: Simplify (+ 0) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.304 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.305 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 y))) (+ (* 1.0 (/ 0 (* 0.5 (/ 1 y)))))) into 0 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 0.308 * [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))) 0.308 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 0.311 * [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))) 0.311 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow y 2))) in y 0.311 * [taylor]: Taking taylor expansion of 0.125 in y 0.311 * [backup-simplify]: Simplify 0.125 into 0.125 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.320 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.323 * [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 0.324 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 y) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.327 * [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 0.327 * [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 1.0 into 1.0 0.327 * [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)))) 0.328 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.328 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.328 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.328 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.328 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.328 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.328 * [taylor]: Taking taylor expansion of 0.5 in y 0.328 * [backup-simplify]: Simplify 0.5 into 0.5 0.328 * [taylor]: Taking taylor expansion of (/ y x) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [backup-simplify]: Simplify x into x 0.328 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.328 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.328 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.328 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.328 * [taylor]: Taking taylor expansion of 0.5 in y 0.328 * [backup-simplify]: Simplify 0.5 into 0.5 0.328 * [taylor]: Taking taylor expansion of (/ y x) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [backup-simplify]: Simplify x into x 0.329 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.329 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.329 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.329 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.329 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.329 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.329 * [taylor]: Taking taylor expansion of 0.5 in y 0.329 * [backup-simplify]: Simplify 0.5 into 0.5 0.329 * [taylor]: Taking taylor expansion of (/ y x) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [backup-simplify]: Simplify x into x 0.329 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.329 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.330 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.330 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.330 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.330 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.330 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.330 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.330 * [taylor]: Taking taylor expansion of 0.5 in x 0.330 * [backup-simplify]: Simplify 0.5 into 0.5 0.330 * [taylor]: Taking taylor expansion of (/ y x) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [backup-simplify]: Simplify y into y 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ y 1) into y 0.331 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.331 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.331 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.331 * [taylor]: Taking taylor expansion of 0.5 in x 0.331 * [backup-simplify]: Simplify 0.5 into 0.5 0.331 * [taylor]: Taking taylor expansion of (/ y x) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [backup-simplify]: Simplify y into y 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (/ y 1) into y 0.331 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.331 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.332 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.332 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.332 * [taylor]: Taking taylor expansion of 0.5 in x 0.332 * [backup-simplify]: Simplify 0.5 into 0.5 0.332 * [taylor]: Taking taylor expansion of (/ y x) in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [backup-simplify]: Simplify y into y 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ y 1) into y 0.332 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.332 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.332 * [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)))) 0.332 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.332 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.333 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.333 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.333 * [taylor]: Taking taylor expansion of 0.5 in x 0.333 * [backup-simplify]: Simplify 0.5 into 0.5 0.333 * [taylor]: Taking taylor expansion of (/ y x) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [backup-simplify]: Simplify y into y 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ y 1) into y 0.333 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.333 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.333 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.333 * [taylor]: Taking taylor expansion of 0.5 in x 0.333 * [backup-simplify]: Simplify 0.5 into 0.5 0.333 * [taylor]: Taking taylor expansion of (/ y x) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [backup-simplify]: Simplify y into y 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ y 1) into y 0.334 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.334 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.334 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.334 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.334 * [taylor]: Taking taylor expansion of 0.5 in x 0.334 * [backup-simplify]: Simplify 0.5 into 0.5 0.334 * [taylor]: Taking taylor expansion of (/ y x) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [backup-simplify]: Simplify y into y 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ y 1) into y 0.334 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.334 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.335 * [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)))) 0.335 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.335 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.335 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.335 * [taylor]: Taking taylor expansion of 0.5 in y 0.335 * [backup-simplify]: Simplify 0.5 into 0.5 0.335 * [taylor]: Taking taylor expansion of (/ y x) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [backup-simplify]: Simplify x into x 0.335 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.335 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [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 0.337 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ 0) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.340 * [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 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.342 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.343 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.343 * [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 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [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 0.348 * [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 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [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) 0.349 * [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)))) 0.349 * [approximate]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.349 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.349 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.350 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.350 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.350 * [taylor]: Taking taylor expansion of 0.5 in y 0.350 * [backup-simplify]: Simplify 0.5 into 0.5 0.350 * [taylor]: Taking taylor expansion of (/ y x) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [backup-simplify]: Simplify x into x 0.350 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.350 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.350 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.350 * [taylor]: Taking taylor expansion of 0.5 in y 0.350 * [backup-simplify]: Simplify 0.5 into 0.5 0.350 * [taylor]: Taking taylor expansion of (/ y x) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [backup-simplify]: Simplify x into x 0.350 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.350 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.351 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 0.351 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.351 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.351 * [taylor]: Taking taylor expansion of 0.5 in y 0.351 * [backup-simplify]: Simplify 0.5 into 0.5 0.351 * [taylor]: Taking taylor expansion of (/ y x) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [backup-simplify]: Simplify x into x 0.351 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.351 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 0.351 * [backup-simplify]: Simplify (/ (/ 0.5 x) (* 0.5 (/ 1 x))) into 1.0 0.351 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.352 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.352 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.352 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.352 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.352 * [taylor]: Taking taylor expansion of 0.5 in x 0.352 * [backup-simplify]: Simplify 0.5 into 0.5 0.352 * [taylor]: Taking taylor expansion of (/ y x) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [backup-simplify]: Simplify y into y 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ y 1) into y 0.352 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.352 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.352 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.352 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.352 * [taylor]: Taking taylor expansion of 0.5 in x 0.352 * [backup-simplify]: Simplify 0.5 into 0.5 0.352 * [taylor]: Taking taylor expansion of (/ y x) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [backup-simplify]: Simplify y into y 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ y 1) into y 0.353 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.353 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.353 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.353 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.353 * [taylor]: Taking taylor expansion of 0.5 in x 0.353 * [backup-simplify]: Simplify 0.5 into 0.5 0.353 * [taylor]: Taking taylor expansion of (/ y x) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [backup-simplify]: Simplify y into y 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ y 1) into y 0.353 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.353 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.354 * [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)))) 0.354 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in x 0.354 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 0.354 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.354 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.354 * [taylor]: Taking taylor expansion of 0.5 in x 0.354 * [backup-simplify]: Simplify 0.5 into 0.5 0.354 * [taylor]: Taking taylor expansion of (/ y x) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [backup-simplify]: Simplify y into y 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ y 1) into y 0.354 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.354 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.354 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.354 * [taylor]: Taking taylor expansion of 0.5 in x 0.354 * [backup-simplify]: Simplify 0.5 into 0.5 0.355 * [taylor]: Taking taylor expansion of (/ y x) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [backup-simplify]: Simplify y into y 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ y 1) into y 0.355 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.355 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 0.355 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 0.355 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 0.355 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.355 * [taylor]: Taking taylor expansion of 0.5 in x 0.355 * [backup-simplify]: Simplify 0.5 into 0.5 0.355 * [taylor]: Taking taylor expansion of (/ y x) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [backup-simplify]: Simplify y into y 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ y 1) into y 0.355 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 0.356 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 0.356 * [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)))) 0.356 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 0.5 (/ y x)))) in y 0.356 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 0.356 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.356 * [taylor]: Taking taylor expansion of 0.5 in y 0.356 * [backup-simplify]: Simplify 0.5 into 0.5 0.356 * [taylor]: Taking taylor expansion of (/ y x) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of x in y 0.356 * [backup-simplify]: Simplify x into x 0.356 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.356 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [backup-simplify]: Simplify 1 into 1 0.358 * [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 0.358 * [backup-simplify]: Simplify (- (/ 0 (sin (* 0.5 (/ y x)))) (+ (* (/ 1 (cos (* 0.5 (/ y x)))) (/ 0 (sin (* 0.5 (/ y x))))))) into 0 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (+ 0) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 0.361 * [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 0.361 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.125 (/ 1 (pow x 2))) 0.363 * [backup-simplify]: Simplify (* 0.125 (/ 1 (pow x 2))) into (/ 0.125 (pow x 2)) 0.363 * [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 0.364 * [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 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 0.125 (/ 1 (pow x 2)))) 1)) (* (* 0.125 (/ 1 (pow x 2))) (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify 0 into 0 0.369 * [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 0.370 * [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 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [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) 0.370 * * * [progress]: simplifying candidates 0.372 * [simplify]: Simplifying: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (- (log (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0))))) (log (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (exp (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (* (* (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (- (tan (/ x (* y 2.0)))) (- (sin (/ x (* y 2.0)))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) 1) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ (sqrt (tan (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (sqrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (cbrt (sin (/ x (* y 2.0))))) (/ 1 (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (/ 1 1) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ 1 (sin (/ x (* y 2.0)))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) 1) (/ (sin (/ x (* y 2.0))) (cbrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (sqrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 1.0 (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.374 * * [simplify]: Extracting # 0 : cost 53 inf + 0 0.374 * * [simplify]: Extracting # 1 : cost 61 inf + 2 0.374 * * [simplify]: Extracting # 2 : cost 65 inf + 45 0.374 * * [simplify]: Extracting # 3 : cost 66 inf + 49 0.375 * * [simplify]: Extracting # 4 : cost 54 inf + 2228 0.377 * * [simplify]: Extracting # 5 : cost 15 inf + 13819 0.379 * * [simplify]: Extracting # 6 : cost 0 inf + 19408 0.383 * * [simplify]: iteration 0 : 77 enodes (cost 18480 ) 0.399 * * [simplify]: Extracting # 0 : cost 0 inf + 19408 0.401 * * [simplify]: Extracting # 1 : cost 22 inf + 17770 0.403 * * [simplify]: Extracting # 2 : cost 3 inf + 23039 0.406 * * [simplify]: Extracting # 3 : cost 1 inf + 22860 0.408 * * [simplify]: Extracting # 4 : cost 0 inf + 23072 0.411 * * [simplify]: iteration 1 : 144 enodes (cost 17003 ) 0.468 * * [simplify]: Extracting # 0 : cost 0 inf + 23072 0.474 * * [simplify]: Extracting # 1 : cost 102 inf + 22530 0.484 * * [simplify]: Extracting # 2 : cost 3 inf + 45899 0.491 * * [simplify]: Extracting # 3 : cost 0 inf + 46124 0.497 * * [simplify]: iteration 2 : 412 enodes (cost 16603 ) 0.733 * * [simplify]: Extracting # 0 : cost 0 inf + 46124 0.755 * * [simplify]: Extracting # 1 : cost 383 inf + 45679 0.800 * * [simplify]: Extracting # 2 : cost 9 inf + 131252 0.832 * * [simplify]: Extracting # 3 : cost 0 inf + 132858 0.859 * * [simplify]: Extracting # 4 : cost 0 inf + 132778 0.893 * * [simplify]: iteration 3 : 1605 enodes (cost 16603 ) 1.679 * * [simplify]: Extracting # 0 : cost 0 inf + 132778 1.733 * * [simplify]: Extracting # 1 : cost 1459 inf + 129898 1.854 * * [simplify]: Extracting # 2 : cost 26 inf + 522490 2.012 * * [simplify]: Extracting # 3 : cost 8 inf + 524050 2.143 * * [simplify]: Extracting # 4 : cost 0 inf + 526074 2.287 * * [simplify]: iteration complete: 5000 enodes (cost 16603 ) 2.288 * [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)))) (* (* (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))) (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))) (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))))) (* (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 (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ (sqrt (tan (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (sqrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (sqrt (tan (/ x (* y 2.0)))) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (cbrt (sin (/ x (* y 2.0))))) (/ 1 (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) 1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ 1 (sin (/ x (* y 2.0)))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (tan (/ x (* y 2.0))) (/ (sin (/ x (* y 2.0))) (cbrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (sqrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) 0 (+ (* 0.5 (/ x y)) (* (* (* (/ x y) (/ x y)) (/ x y)) 0.04166666666666667)) (+ (* 0.5 (/ x y)) (* (* (* (/ x y) (/ x y)) (/ x y)) 0.04166666666666667)) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 1.0 (+ (* 0.125 (* (/ x y) (/ x y))) 1) (+ (* 0.125 (* (/ x y) (/ x y))) 1) 2.293 * * * [progress]: adding candidates to table 2.592 * * [progress]: iteration 2 / 4 2.592 * * * [progress]: picking best candidate 2.697 * * * * [pick]: Picked # 2.697 * * * [progress]: localizing error 2.698 * * * [progress]: generating rewritten candidates 2.698 * * * [progress]: generating series expansions 2.698 * * * [progress]: simplifying candidates 2.698 * [simplify]: Simplifying: 2.698 * * [simplify]: Extracting # 0 : cost 0 inf + 0 2.698 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 2.698 * * [simplify]: Extracting # 0 : cost 0 inf + 0 2.698 * * [simplify]: iteration complete: 0 enodes (cost 0 ) 2.698 * [simplify]: Simplified to: 2.698 * * * [progress]: adding candidates to table 2.699 * * [progress]: iteration 3 / 4 2.699 * * * [progress]: picking best candidate 2.775 * * * * [pick]: Picked # 2.776 * * * [progress]: localizing error 2.823 * * * [progress]: generating rewritten candidates 2.823 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.826 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 2.828 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.831 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 2.835 * * * [progress]: generating series expansions 2.835 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.835 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 2.835 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 2.835 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 2.835 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.835 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 2.835 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.835 * [taylor]: Taking taylor expansion of 0.5 in y 2.835 * [backup-simplify]: Simplify 0.5 into 0.5 2.835 * [taylor]: Taking taylor expansion of (/ x y) in y 2.835 * [taylor]: Taking taylor expansion of x in y 2.835 * [backup-simplify]: Simplify x into x 2.835 * [taylor]: Taking taylor expansion of y in y 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (/ x 1) into x 2.835 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.836 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 2.836 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 2.836 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.836 * [taylor]: Taking taylor expansion of 0.5 in y 2.836 * [backup-simplify]: Simplify 0.5 into 0.5 2.836 * [taylor]: Taking taylor expansion of (/ x y) in y 2.836 * [taylor]: Taking taylor expansion of x in y 2.836 * [backup-simplify]: Simplify x into x 2.836 * [taylor]: Taking taylor expansion of y in y 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (/ x 1) into x 2.836 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.836 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 2.836 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.836 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 2.836 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.836 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.836 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.836 * [taylor]: Taking taylor expansion of 0.5 in x 2.836 * [backup-simplify]: Simplify 0.5 into 0.5 2.836 * [taylor]: Taking taylor expansion of (/ x y) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of y in x 2.836 * [backup-simplify]: Simplify y into y 2.836 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.836 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.836 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.836 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.836 * [taylor]: Taking taylor expansion of 0.5 in x 2.836 * [backup-simplify]: Simplify 0.5 into 0.5 2.836 * [taylor]: Taking taylor expansion of (/ x y) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [taylor]: Taking taylor expansion of y in x 2.836 * [backup-simplify]: Simplify y into y 2.837 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.837 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.837 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 2.837 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 2.837 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.837 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.837 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.837 * [taylor]: Taking taylor expansion of 0.5 in x 2.837 * [backup-simplify]: Simplify 0.5 into 0.5 2.837 * [taylor]: Taking taylor expansion of (/ x y) in x 2.837 * [taylor]: Taking taylor expansion of x in x 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [taylor]: Taking taylor expansion of y in x 2.837 * [backup-simplify]: Simplify y into y 2.837 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.837 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.837 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.837 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.837 * [taylor]: Taking taylor expansion of 0.5 in x 2.838 * [backup-simplify]: Simplify 0.5 into 0.5 2.838 * [taylor]: Taking taylor expansion of (/ x y) in x 2.838 * [taylor]: Taking taylor expansion of x in x 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.838 * [taylor]: Taking taylor expansion of y in x 2.838 * [backup-simplify]: Simplify y into y 2.838 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.838 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.838 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.838 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 2.838 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 2.838 * [taylor]: Taking taylor expansion of 0.5 in y 2.838 * [backup-simplify]: Simplify 0.5 into 0.5 2.838 * [taylor]: Taking taylor expansion of y in y 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.841 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.842 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.842 * [backup-simplify]: Simplify (+ 0) into 0 2.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 2.843 * [taylor]: Taking taylor expansion of 0 in y 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 2.846 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 2.847 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 2.847 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 2.848 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 2.848 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 2.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.848 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.848 * [taylor]: Taking taylor expansion of y in y 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 1 into 1 2.848 * [backup-simplify]: Simplify (* 1 1) into 1 2.848 * [backup-simplify]: Simplify (* 1 1) into 1 2.849 * [backup-simplify]: Simplify (/ 1 1) into 1 2.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.854 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 2.855 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.855 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.855 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.855 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.855 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.855 * [taylor]: Taking taylor expansion of 0.5 in y 2.855 * [backup-simplify]: Simplify 0.5 into 0.5 2.855 * [taylor]: Taking taylor expansion of (/ y x) in y 2.855 * [taylor]: Taking taylor expansion of y in y 2.855 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [taylor]: Taking taylor expansion of x in y 2.856 * [backup-simplify]: Simplify x into x 2.856 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.856 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.856 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.856 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.856 * [taylor]: Taking taylor expansion of 0.5 in y 2.856 * [backup-simplify]: Simplify 0.5 into 0.5 2.856 * [taylor]: Taking taylor expansion of (/ y x) in y 2.856 * [taylor]: Taking taylor expansion of y in y 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [taylor]: Taking taylor expansion of x in y 2.856 * [backup-simplify]: Simplify x into x 2.856 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.856 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.856 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.856 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.856 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.856 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.856 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.856 * [taylor]: Taking taylor expansion of 0.5 in x 2.856 * [backup-simplify]: Simplify 0.5 into 0.5 2.856 * [taylor]: Taking taylor expansion of (/ y x) in x 2.856 * [taylor]: Taking taylor expansion of y in x 2.856 * [backup-simplify]: Simplify y into y 2.856 * [taylor]: Taking taylor expansion of x in x 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (/ y 1) into y 2.856 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.856 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.856 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.857 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.857 * [taylor]: Taking taylor expansion of 0.5 in x 2.857 * [backup-simplify]: Simplify 0.5 into 0.5 2.857 * [taylor]: Taking taylor expansion of (/ y x) in x 2.857 * [taylor]: Taking taylor expansion of y in x 2.857 * [backup-simplify]: Simplify y into y 2.857 * [taylor]: Taking taylor expansion of x in x 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (/ y 1) into y 2.857 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.857 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.857 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.857 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.857 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.857 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.857 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.857 * [taylor]: Taking taylor expansion of 0.5 in x 2.857 * [backup-simplify]: Simplify 0.5 into 0.5 2.857 * [taylor]: Taking taylor expansion of (/ y x) in x 2.857 * [taylor]: Taking taylor expansion of y in x 2.857 * [backup-simplify]: Simplify y into y 2.857 * [taylor]: Taking taylor expansion of x in x 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (/ y 1) into y 2.857 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.857 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.857 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.857 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.857 * [taylor]: Taking taylor expansion of 0.5 in x 2.857 * [backup-simplify]: Simplify 0.5 into 0.5 2.857 * [taylor]: Taking taylor expansion of (/ y x) in x 2.857 * [taylor]: Taking taylor expansion of y in x 2.857 * [backup-simplify]: Simplify y into y 2.857 * [taylor]: Taking taylor expansion of x in x 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.858 * [backup-simplify]: Simplify (/ y 1) into y 2.858 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.858 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.858 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.858 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.858 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.858 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.858 * [taylor]: Taking taylor expansion of 0.5 in y 2.858 * [backup-simplify]: Simplify 0.5 into 0.5 2.858 * [taylor]: Taking taylor expansion of (/ y x) in y 2.858 * [taylor]: Taking taylor expansion of y in y 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.858 * [taylor]: Taking taylor expansion of x in y 2.858 * [backup-simplify]: Simplify x into x 2.858 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.858 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.858 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.858 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.858 * [taylor]: Taking taylor expansion of 0.5 in y 2.858 * [backup-simplify]: Simplify 0.5 into 0.5 2.858 * [taylor]: Taking taylor expansion of (/ y x) in y 2.858 * [taylor]: Taking taylor expansion of y in y 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.858 * [taylor]: Taking taylor expansion of x in y 2.858 * [backup-simplify]: Simplify x into x 2.858 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.858 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.858 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.859 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.859 * [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 2.859 * [taylor]: Taking taylor expansion of 0 in y 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.859 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.860 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.860 * [backup-simplify]: Simplify (+ 0) into 0 2.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [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 2.861 * [taylor]: Taking taylor expansion of 0 in y 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.862 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.862 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.863 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.863 * [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))) 2.863 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.864 * [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 2.864 * [taylor]: Taking taylor expansion of 0 in y 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.865 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.866 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.866 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.866 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.867 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.868 * [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 2.868 * [backup-simplify]: Simplify 0 into 0 2.869 * [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 2.869 * [taylor]: Taking taylor expansion of 0 in y 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 2.873 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 2.873 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.873 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.873 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.873 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.873 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.873 * [taylor]: Taking taylor expansion of 0.5 in y 2.873 * [backup-simplify]: Simplify 0.5 into 0.5 2.873 * [taylor]: Taking taylor expansion of (/ y x) in y 2.873 * [taylor]: Taking taylor expansion of y in y 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 1 into 1 2.873 * [taylor]: Taking taylor expansion of x in y 2.873 * [backup-simplify]: Simplify x into x 2.873 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.873 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.873 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.873 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.873 * [taylor]: Taking taylor expansion of 0.5 in y 2.873 * [backup-simplify]: Simplify 0.5 into 0.5 2.873 * [taylor]: Taking taylor expansion of (/ y x) in y 2.873 * [taylor]: Taking taylor expansion of y in y 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 1 into 1 2.873 * [taylor]: Taking taylor expansion of x in y 2.873 * [backup-simplify]: Simplify x into x 2.874 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.874 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.874 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.874 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.874 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.874 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.874 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.874 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.874 * [taylor]: Taking taylor expansion of 0.5 in x 2.874 * [backup-simplify]: Simplify 0.5 into 0.5 2.874 * [taylor]: Taking taylor expansion of (/ y x) in x 2.874 * [taylor]: Taking taylor expansion of y in x 2.874 * [backup-simplify]: Simplify y into y 2.874 * [taylor]: Taking taylor expansion of x in x 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.874 * [backup-simplify]: Simplify (/ y 1) into y 2.874 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.874 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.874 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.874 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.874 * [taylor]: Taking taylor expansion of 0.5 in x 2.874 * [backup-simplify]: Simplify 0.5 into 0.5 2.874 * [taylor]: Taking taylor expansion of (/ y x) in x 2.875 * [taylor]: Taking taylor expansion of y in x 2.875 * [backup-simplify]: Simplify y into y 2.875 * [taylor]: Taking taylor expansion of x in x 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (/ y 1) into y 2.875 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.875 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.875 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.875 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.875 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.875 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.875 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.875 * [taylor]: Taking taylor expansion of 0.5 in x 2.875 * [backup-simplify]: Simplify 0.5 into 0.5 2.875 * [taylor]: Taking taylor expansion of (/ y x) in x 2.875 * [taylor]: Taking taylor expansion of y in x 2.875 * [backup-simplify]: Simplify y into y 2.875 * [taylor]: Taking taylor expansion of x in x 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (/ y 1) into y 2.875 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.875 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.875 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.875 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.875 * [taylor]: Taking taylor expansion of 0.5 in x 2.875 * [backup-simplify]: Simplify 0.5 into 0.5 2.875 * [taylor]: Taking taylor expansion of (/ y x) in x 2.875 * [taylor]: Taking taylor expansion of y in x 2.875 * [backup-simplify]: Simplify y into y 2.875 * [taylor]: Taking taylor expansion of x in x 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (/ y 1) into y 2.875 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.876 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.876 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.876 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.876 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.876 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.876 * [taylor]: Taking taylor expansion of 0.5 in y 2.876 * [backup-simplify]: Simplify 0.5 into 0.5 2.876 * [taylor]: Taking taylor expansion of (/ y x) in y 2.876 * [taylor]: Taking taylor expansion of y in y 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [taylor]: Taking taylor expansion of x in y 2.876 * [backup-simplify]: Simplify x into x 2.876 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.876 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.876 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.876 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.876 * [taylor]: Taking taylor expansion of 0.5 in y 2.876 * [backup-simplify]: Simplify 0.5 into 0.5 2.876 * [taylor]: Taking taylor expansion of (/ y x) in y 2.876 * [taylor]: Taking taylor expansion of y in y 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [taylor]: Taking taylor expansion of x in y 2.876 * [backup-simplify]: Simplify x into x 2.876 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.876 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.876 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.876 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.876 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.877 * [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 2.877 * [taylor]: Taking taylor expansion of 0 in y 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.878 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.878 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.878 * [backup-simplify]: Simplify (+ 0) into 0 2.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [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 2.879 * [taylor]: Taking taylor expansion of 0 in y 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.880 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.881 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.881 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.882 * [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))) 2.882 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.883 * [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 2.883 * [taylor]: Taking taylor expansion of 0 in y 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.884 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.886 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.886 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.886 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.887 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.889 * [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 2.889 * [backup-simplify]: Simplify 0 into 0 2.890 * [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 2.890 * [taylor]: Taking taylor expansion of 0 in y 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 2.891 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 2.891 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 2.891 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 2.891 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 2.891 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.891 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 2.891 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.891 * [taylor]: Taking taylor expansion of 0.5 in y 2.891 * [backup-simplify]: Simplify 0.5 into 0.5 2.891 * [taylor]: Taking taylor expansion of (/ x y) in y 2.891 * [taylor]: Taking taylor expansion of x in y 2.891 * [backup-simplify]: Simplify x into x 2.891 * [taylor]: Taking taylor expansion of y in y 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [backup-simplify]: Simplify (/ x 1) into x 2.891 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.892 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 2.892 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 2.892 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.892 * [taylor]: Taking taylor expansion of 0.5 in y 2.892 * [backup-simplify]: Simplify 0.5 into 0.5 2.892 * [taylor]: Taking taylor expansion of (/ x y) in y 2.892 * [taylor]: Taking taylor expansion of x in y 2.892 * [backup-simplify]: Simplify x into x 2.892 * [taylor]: Taking taylor expansion of y in y 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify (/ x 1) into x 2.892 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.892 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 2.892 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.892 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 2.893 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.893 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.893 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.893 * [taylor]: Taking taylor expansion of 0.5 in x 2.893 * [backup-simplify]: Simplify 0.5 into 0.5 2.893 * [taylor]: Taking taylor expansion of (/ x y) in x 2.893 * [taylor]: Taking taylor expansion of x in x 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.893 * [taylor]: Taking taylor expansion of y in x 2.893 * [backup-simplify]: Simplify y into y 2.893 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.893 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.893 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.893 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.893 * [taylor]: Taking taylor expansion of 0.5 in x 2.893 * [backup-simplify]: Simplify 0.5 into 0.5 2.893 * [taylor]: Taking taylor expansion of (/ x y) in x 2.893 * [taylor]: Taking taylor expansion of x in x 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.893 * [taylor]: Taking taylor expansion of y in x 2.893 * [backup-simplify]: Simplify y into y 2.893 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.893 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.894 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.894 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 2.894 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 2.894 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.894 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.894 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.894 * [taylor]: Taking taylor expansion of 0.5 in x 2.894 * [backup-simplify]: Simplify 0.5 into 0.5 2.894 * [taylor]: Taking taylor expansion of (/ x y) in x 2.894 * [taylor]: Taking taylor expansion of x in x 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [taylor]: Taking taylor expansion of y in x 2.894 * [backup-simplify]: Simplify y into y 2.894 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.894 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.894 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.895 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.895 * [taylor]: Taking taylor expansion of 0.5 in x 2.895 * [backup-simplify]: Simplify 0.5 into 0.5 2.895 * [taylor]: Taking taylor expansion of (/ x y) in x 2.895 * [taylor]: Taking taylor expansion of x in x 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [taylor]: Taking taylor expansion of y in x 2.895 * [backup-simplify]: Simplify y into y 2.895 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.895 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.895 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.895 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 2.895 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 2.895 * [taylor]: Taking taylor expansion of 0.5 in y 2.895 * [backup-simplify]: Simplify 0.5 into 0.5 2.895 * [taylor]: Taking taylor expansion of y in y 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.898 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.899 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.899 * [backup-simplify]: Simplify (+ 0) into 0 2.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 2.900 * [taylor]: Taking taylor expansion of 0 in y 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.901 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.902 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.903 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 2.904 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 2.905 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 2.905 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 2.905 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 2.905 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 2.906 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.906 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.906 * [taylor]: Taking taylor expansion of y in y 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 1 into 1 2.906 * [backup-simplify]: Simplify (* 1 1) into 1 2.906 * [backup-simplify]: Simplify (* 1 1) into 1 2.907 * [backup-simplify]: Simplify (/ 1 1) into 1 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 2.917 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.917 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.918 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.918 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.918 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.918 * [taylor]: Taking taylor expansion of 0.5 in y 2.918 * [backup-simplify]: Simplify 0.5 into 0.5 2.918 * [taylor]: Taking taylor expansion of (/ y x) in y 2.918 * [taylor]: Taking taylor expansion of y in y 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [taylor]: Taking taylor expansion of x in y 2.918 * [backup-simplify]: Simplify x into x 2.918 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.918 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.918 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.918 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.918 * [taylor]: Taking taylor expansion of 0.5 in y 2.918 * [backup-simplify]: Simplify 0.5 into 0.5 2.918 * [taylor]: Taking taylor expansion of (/ y x) in y 2.918 * [taylor]: Taking taylor expansion of y in y 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [taylor]: Taking taylor expansion of x in y 2.918 * [backup-simplify]: Simplify x into x 2.918 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.918 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.919 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.919 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.919 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.919 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.919 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.919 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.919 * [taylor]: Taking taylor expansion of 0.5 in x 2.919 * [backup-simplify]: Simplify 0.5 into 0.5 2.919 * [taylor]: Taking taylor expansion of (/ y x) in x 2.919 * [taylor]: Taking taylor expansion of y in x 2.919 * [backup-simplify]: Simplify y into y 2.919 * [taylor]: Taking taylor expansion of x in x 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (/ y 1) into y 2.919 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.920 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.920 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.920 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.920 * [taylor]: Taking taylor expansion of 0.5 in x 2.920 * [backup-simplify]: Simplify 0.5 into 0.5 2.920 * [taylor]: Taking taylor expansion of (/ y x) in x 2.920 * [taylor]: Taking taylor expansion of y in x 2.920 * [backup-simplify]: Simplify y into y 2.920 * [taylor]: Taking taylor expansion of x in x 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.920 * [backup-simplify]: Simplify (/ y 1) into y 2.920 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.920 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.920 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.920 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.920 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.921 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.921 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.921 * [taylor]: Taking taylor expansion of 0.5 in x 2.921 * [backup-simplify]: Simplify 0.5 into 0.5 2.921 * [taylor]: Taking taylor expansion of (/ y x) in x 2.921 * [taylor]: Taking taylor expansion of y in x 2.921 * [backup-simplify]: Simplify y into y 2.921 * [taylor]: Taking taylor expansion of x in x 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (/ y 1) into y 2.921 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.921 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.921 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.921 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.921 * [taylor]: Taking taylor expansion of 0.5 in x 2.921 * [backup-simplify]: Simplify 0.5 into 0.5 2.921 * [taylor]: Taking taylor expansion of (/ y x) in x 2.921 * [taylor]: Taking taylor expansion of y in x 2.921 * [backup-simplify]: Simplify y into y 2.921 * [taylor]: Taking taylor expansion of x in x 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (/ y 1) into y 2.921 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.922 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.922 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.922 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.922 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.922 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.922 * [taylor]: Taking taylor expansion of 0.5 in y 2.922 * [backup-simplify]: Simplify 0.5 into 0.5 2.922 * [taylor]: Taking taylor expansion of (/ y x) in y 2.922 * [taylor]: Taking taylor expansion of y in y 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.922 * [taylor]: Taking taylor expansion of x in y 2.922 * [backup-simplify]: Simplify x into x 2.922 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.922 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.922 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.922 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.922 * [taylor]: Taking taylor expansion of 0.5 in y 2.922 * [backup-simplify]: Simplify 0.5 into 0.5 2.922 * [taylor]: Taking taylor expansion of (/ y x) in y 2.922 * [taylor]: Taking taylor expansion of y in y 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.922 * [taylor]: Taking taylor expansion of x in y 2.922 * [backup-simplify]: Simplify x into x 2.923 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.923 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.923 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.923 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.923 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.924 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 2.924 * [taylor]: Taking taylor expansion of 0 in y 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.925 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.925 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.926 * [backup-simplify]: Simplify (+ 0) into 0 2.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [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 2.928 * [taylor]: Taking taylor expansion of 0 in y 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.929 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.932 * [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))) 2.932 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.933 * [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 2.933 * [taylor]: Taking taylor expansion of 0 in y 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.935 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.936 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.937 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.937 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.938 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.940 * [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 2.940 * [backup-simplify]: Simplify 0 into 0 2.941 * [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 2.941 * [taylor]: Taking taylor expansion of 0 in y 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 2.942 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 2.942 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.942 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.942 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.942 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.942 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.942 * [taylor]: Taking taylor expansion of 0.5 in y 2.942 * [backup-simplify]: Simplify 0.5 into 0.5 2.942 * [taylor]: Taking taylor expansion of (/ y x) in y 2.942 * [taylor]: Taking taylor expansion of y in y 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [taylor]: Taking taylor expansion of x in y 2.942 * [backup-simplify]: Simplify x into x 2.942 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.942 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.942 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.942 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.942 * [taylor]: Taking taylor expansion of 0.5 in y 2.942 * [backup-simplify]: Simplify 0.5 into 0.5 2.942 * [taylor]: Taking taylor expansion of (/ y x) in y 2.942 * [taylor]: Taking taylor expansion of y in y 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [taylor]: Taking taylor expansion of x in y 2.942 * [backup-simplify]: Simplify x into x 2.942 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.943 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.943 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.943 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.943 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.943 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.943 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.943 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.943 * [taylor]: Taking taylor expansion of 0.5 in x 2.943 * [backup-simplify]: Simplify 0.5 into 0.5 2.943 * [taylor]: Taking taylor expansion of (/ y x) in x 2.943 * [taylor]: Taking taylor expansion of y in x 2.943 * [backup-simplify]: Simplify y into y 2.943 * [taylor]: Taking taylor expansion of x in x 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.943 * [backup-simplify]: Simplify (/ y 1) into y 2.943 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.944 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.944 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.944 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.944 * [taylor]: Taking taylor expansion of 0.5 in x 2.944 * [backup-simplify]: Simplify 0.5 into 0.5 2.944 * [taylor]: Taking taylor expansion of (/ y x) in x 2.944 * [taylor]: Taking taylor expansion of y in x 2.944 * [backup-simplify]: Simplify y into y 2.944 * [taylor]: Taking taylor expansion of x in x 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (/ y 1) into y 2.944 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.944 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.944 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.944 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.944 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.944 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.944 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.945 * [taylor]: Taking taylor expansion of 0.5 in x 2.945 * [backup-simplify]: Simplify 0.5 into 0.5 2.945 * [taylor]: Taking taylor expansion of (/ y x) in x 2.945 * [taylor]: Taking taylor expansion of y in x 2.945 * [backup-simplify]: Simplify y into y 2.945 * [taylor]: Taking taylor expansion of x in x 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (/ y 1) into y 2.945 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.945 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.945 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.945 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.945 * [taylor]: Taking taylor expansion of 0.5 in x 2.945 * [backup-simplify]: Simplify 0.5 into 0.5 2.945 * [taylor]: Taking taylor expansion of (/ y x) in x 2.945 * [taylor]: Taking taylor expansion of y in x 2.945 * [backup-simplify]: Simplify y into y 2.945 * [taylor]: Taking taylor expansion of x in x 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (/ y 1) into y 2.945 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.945 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.946 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.946 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.946 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.946 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.946 * [taylor]: Taking taylor expansion of 0.5 in y 2.946 * [backup-simplify]: Simplify 0.5 into 0.5 2.946 * [taylor]: Taking taylor expansion of (/ y x) in y 2.946 * [taylor]: Taking taylor expansion of y in y 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 1 into 1 2.946 * [taylor]: Taking taylor expansion of x in y 2.946 * [backup-simplify]: Simplify x into x 2.946 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.946 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.946 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.946 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.946 * [taylor]: Taking taylor expansion of 0.5 in y 2.946 * [backup-simplify]: Simplify 0.5 into 0.5 2.946 * [taylor]: Taking taylor expansion of (/ y x) in y 2.946 * [taylor]: Taking taylor expansion of y in y 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 1 into 1 2.946 * [taylor]: Taking taylor expansion of x in y 2.946 * [backup-simplify]: Simplify x into x 2.946 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.947 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.947 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.947 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.948 * [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 2.948 * [taylor]: Taking taylor expansion of 0 in y 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.949 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.950 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.950 * [backup-simplify]: Simplify (+ 0) into 0 2.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 2.952 * [taylor]: Taking taylor expansion of 0 in y 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.953 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 2.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 2.955 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 2.956 * [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))) 2.956 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 2.957 * [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 2.957 * [taylor]: Taking taylor expansion of 0 in y 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.959 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 2.960 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 2.960 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.961 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 2.962 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 2.963 * [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 2.963 * [backup-simplify]: Simplify 0 into 0 2.964 * [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 2.964 * [taylor]: Taking taylor expansion of 0 in y 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.964 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 2.966 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.966 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 2.966 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 2.966 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 2.966 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.966 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 2.966 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.966 * [taylor]: Taking taylor expansion of 0.5 in y 2.966 * [backup-simplify]: Simplify 0.5 into 0.5 2.966 * [taylor]: Taking taylor expansion of (/ x y) in y 2.966 * [taylor]: Taking taylor expansion of x in y 2.966 * [backup-simplify]: Simplify x into x 2.966 * [taylor]: Taking taylor expansion of y in y 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (/ x 1) into x 2.966 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.966 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 2.966 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 2.967 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 2.967 * [taylor]: Taking taylor expansion of 0.5 in y 2.967 * [backup-simplify]: Simplify 0.5 into 0.5 2.967 * [taylor]: Taking taylor expansion of (/ x y) in y 2.967 * [taylor]: Taking taylor expansion of x in y 2.967 * [backup-simplify]: Simplify x into x 2.967 * [taylor]: Taking taylor expansion of y in y 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [backup-simplify]: Simplify (/ x 1) into x 2.967 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 2.967 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 2.967 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.967 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 2.967 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.967 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.967 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.967 * [taylor]: Taking taylor expansion of 0.5 in x 2.967 * [backup-simplify]: Simplify 0.5 into 0.5 2.968 * [taylor]: Taking taylor expansion of (/ x y) in x 2.968 * [taylor]: Taking taylor expansion of x in x 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [taylor]: Taking taylor expansion of y in x 2.968 * [backup-simplify]: Simplify y into y 2.968 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.968 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.968 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.968 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.968 * [taylor]: Taking taylor expansion of 0.5 in x 2.968 * [backup-simplify]: Simplify 0.5 into 0.5 2.968 * [taylor]: Taking taylor expansion of (/ x y) in x 2.968 * [taylor]: Taking taylor expansion of x in x 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [taylor]: Taking taylor expansion of y in x 2.968 * [backup-simplify]: Simplify y into y 2.968 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.968 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.968 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.969 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 2.969 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 2.969 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 2.969 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 2.969 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.969 * [taylor]: Taking taylor expansion of 0.5 in x 2.969 * [backup-simplify]: Simplify 0.5 into 0.5 2.969 * [taylor]: Taking taylor expansion of (/ x y) in x 2.969 * [taylor]: Taking taylor expansion of x in x 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [taylor]: Taking taylor expansion of y in x 2.969 * [backup-simplify]: Simplify y into y 2.969 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.969 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.969 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 2.969 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 2.969 * [taylor]: Taking taylor expansion of 0.5 in x 2.969 * [backup-simplify]: Simplify 0.5 into 0.5 2.969 * [taylor]: Taking taylor expansion of (/ x y) in x 2.969 * [taylor]: Taking taylor expansion of x in x 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [taylor]: Taking taylor expansion of y in x 2.969 * [backup-simplify]: Simplify y into y 2.970 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.970 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 2.970 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 2.970 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 2.970 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 2.970 * [taylor]: Taking taylor expansion of 0.5 in y 2.970 * [backup-simplify]: Simplify 0.5 into 0.5 2.970 * [taylor]: Taking taylor expansion of y in y 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.972 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.973 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.973 * [backup-simplify]: Simplify (+ 0) into 0 2.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 2.974 * [taylor]: Taking taylor expansion of 0 in y 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.977 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 2.978 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 2.979 * [backup-simplify]: Simplify (- (/ (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 1) (+ (* (/ 0.5 y) (/ (- (* 0.125 (/ 1 (pow y 2)))) 1)) (* 0 (/ 0 1)))) into (* 0.04166666666666667 (/ 1 (pow y 3))) 2.979 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 2.979 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 2.979 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 2.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.979 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.979 * [taylor]: Taking taylor expansion of y in y 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (* 1 1) into 1 2.980 * [backup-simplify]: Simplify (* 1 1) into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.991 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 2.992 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 2.992 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 2.992 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.992 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.992 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.992 * [taylor]: Taking taylor expansion of 0.5 in y 2.992 * [backup-simplify]: Simplify 0.5 into 0.5 2.992 * [taylor]: Taking taylor expansion of (/ y x) in y 2.992 * [taylor]: Taking taylor expansion of y in y 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [taylor]: Taking taylor expansion of x in y 2.992 * [backup-simplify]: Simplify x into x 2.992 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.993 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.993 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.993 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.993 * [taylor]: Taking taylor expansion of 0.5 in y 2.993 * [backup-simplify]: Simplify 0.5 into 0.5 2.993 * [taylor]: Taking taylor expansion of (/ y x) in y 2.993 * [taylor]: Taking taylor expansion of y in y 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [taylor]: Taking taylor expansion of x in y 2.993 * [backup-simplify]: Simplify x into x 2.993 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.993 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.993 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.993 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.993 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.993 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.994 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.994 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.994 * [taylor]: Taking taylor expansion of 0.5 in x 2.994 * [backup-simplify]: Simplify 0.5 into 0.5 2.994 * [taylor]: Taking taylor expansion of (/ y x) in x 2.994 * [taylor]: Taking taylor expansion of y in x 2.994 * [backup-simplify]: Simplify y into y 2.994 * [taylor]: Taking taylor expansion of x in x 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (/ y 1) into y 2.994 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.994 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.994 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.994 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.994 * [taylor]: Taking taylor expansion of 0.5 in x 2.994 * [backup-simplify]: Simplify 0.5 into 0.5 2.994 * [taylor]: Taking taylor expansion of (/ y x) in x 2.994 * [taylor]: Taking taylor expansion of y in x 2.994 * [backup-simplify]: Simplify y into y 2.994 * [taylor]: Taking taylor expansion of x in x 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (/ y 1) into y 2.994 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.995 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.995 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.995 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 2.995 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.995 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 2.995 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.995 * [taylor]: Taking taylor expansion of 0.5 in x 2.995 * [backup-simplify]: Simplify 0.5 into 0.5 2.995 * [taylor]: Taking taylor expansion of (/ y x) in x 2.995 * [taylor]: Taking taylor expansion of y in x 2.995 * [backup-simplify]: Simplify y into y 2.995 * [taylor]: Taking taylor expansion of x in x 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (/ y 1) into y 2.995 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.995 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 2.996 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 2.996 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 2.996 * [taylor]: Taking taylor expansion of 0.5 in x 2.996 * [backup-simplify]: Simplify 0.5 into 0.5 2.996 * [taylor]: Taking taylor expansion of (/ y x) in x 2.996 * [taylor]: Taking taylor expansion of y in x 2.996 * [backup-simplify]: Simplify y into y 2.996 * [taylor]: Taking taylor expansion of x in x 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (/ y 1) into y 2.996 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 2.996 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 2.996 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 2.996 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 2.996 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 2.996 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.996 * [taylor]: Taking taylor expansion of 0.5 in y 2.996 * [backup-simplify]: Simplify 0.5 into 0.5 2.997 * [taylor]: Taking taylor expansion of (/ y x) in y 2.997 * [taylor]: Taking taylor expansion of y in y 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.997 * [taylor]: Taking taylor expansion of x in y 2.997 * [backup-simplify]: Simplify x into x 2.997 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.997 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.997 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 2.997 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 2.997 * [taylor]: Taking taylor expansion of 0.5 in y 2.997 * [backup-simplify]: Simplify 0.5 into 0.5 2.997 * [taylor]: Taking taylor expansion of (/ y x) in y 2.997 * [taylor]: Taking taylor expansion of y in y 2.997 * [backup-simplify]: Simplify 0 into 0 2.997 * [backup-simplify]: Simplify 1 into 1 2.997 * [taylor]: Taking taylor expansion of x in y 2.997 * [backup-simplify]: Simplify x into x 2.997 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.997 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 2.997 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 2.998 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 2.998 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 2.998 * [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 2.998 * [taylor]: Taking taylor expansion of 0 in y 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 2.999 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 3.000 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.000 * [backup-simplify]: Simplify (+ 0) into 0 3.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 3.002 * [taylor]: Taking taylor expansion of 0 in y 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.003 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 3.005 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 3.006 * [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))) 3.006 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 3.007 * [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 3.007 * [taylor]: Taking taylor expansion of 0 in y 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.008 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.009 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.010 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.010 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 3.010 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.011 * [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 3.011 * [backup-simplify]: Simplify 0 into 0 3.012 * [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 3.012 * [taylor]: Taking taylor expansion of 0 in y 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 3.012 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 3.012 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 3.012 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 3.013 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 3.013 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 3.013 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 3.013 * [taylor]: Taking taylor expansion of 0.5 in y 3.013 * [backup-simplify]: Simplify 0.5 into 0.5 3.013 * [taylor]: Taking taylor expansion of (/ y x) in y 3.013 * [taylor]: Taking taylor expansion of y in y 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.013 * [taylor]: Taking taylor expansion of x in y 3.013 * [backup-simplify]: Simplify x into x 3.013 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.013 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.013 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 3.013 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 3.013 * [taylor]: Taking taylor expansion of 0.5 in y 3.013 * [backup-simplify]: Simplify 0.5 into 0.5 3.013 * [taylor]: Taking taylor expansion of (/ y x) in y 3.013 * [taylor]: Taking taylor expansion of y in y 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.013 * [taylor]: Taking taylor expansion of x in y 3.013 * [backup-simplify]: Simplify x into x 3.013 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.013 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.013 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 3.013 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 3.013 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 3.013 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 3.013 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 3.013 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 3.013 * [taylor]: Taking taylor expansion of 0.5 in x 3.013 * [backup-simplify]: Simplify 0.5 into 0.5 3.013 * [taylor]: Taking taylor expansion of (/ y x) in x 3.013 * [taylor]: Taking taylor expansion of y in x 3.013 * [backup-simplify]: Simplify y into y 3.013 * [taylor]: Taking taylor expansion of x in x 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.014 * [backup-simplify]: Simplify (/ y 1) into y 3.014 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 3.014 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 3.014 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 3.014 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 3.014 * [taylor]: Taking taylor expansion of 0.5 in x 3.014 * [backup-simplify]: Simplify 0.5 into 0.5 3.014 * [taylor]: Taking taylor expansion of (/ y x) in x 3.014 * [taylor]: Taking taylor expansion of y in x 3.014 * [backup-simplify]: Simplify y into y 3.014 * [taylor]: Taking taylor expansion of x in x 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.014 * [backup-simplify]: Simplify (/ y 1) into y 3.014 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 3.014 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 3.014 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 3.014 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 3.014 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 3.014 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 3.014 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 3.014 * [taylor]: Taking taylor expansion of 0.5 in x 3.014 * [backup-simplify]: Simplify 0.5 into 0.5 3.014 * [taylor]: Taking taylor expansion of (/ y x) in x 3.014 * [taylor]: Taking taylor expansion of y in x 3.014 * [backup-simplify]: Simplify y into y 3.014 * [taylor]: Taking taylor expansion of x in x 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.014 * [backup-simplify]: Simplify (/ y 1) into y 3.014 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 3.014 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 3.014 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 3.014 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 3.014 * [taylor]: Taking taylor expansion of 0.5 in x 3.015 * [backup-simplify]: Simplify 0.5 into 0.5 3.015 * [taylor]: Taking taylor expansion of (/ y x) in x 3.015 * [taylor]: Taking taylor expansion of y in x 3.015 * [backup-simplify]: Simplify y into y 3.015 * [taylor]: Taking taylor expansion of x in x 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (/ y 1) into y 3.015 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 3.015 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 3.015 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 3.015 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 3.015 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 3.015 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 3.015 * [taylor]: Taking taylor expansion of 0.5 in y 3.015 * [backup-simplify]: Simplify 0.5 into 0.5 3.015 * [taylor]: Taking taylor expansion of (/ y x) in y 3.015 * [taylor]: Taking taylor expansion of y in y 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [taylor]: Taking taylor expansion of x in y 3.015 * [backup-simplify]: Simplify x into x 3.015 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.015 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.015 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 3.015 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 3.015 * [taylor]: Taking taylor expansion of 0.5 in y 3.015 * [backup-simplify]: Simplify 0.5 into 0.5 3.015 * [taylor]: Taking taylor expansion of (/ y x) in y 3.015 * [taylor]: Taking taylor expansion of y in y 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [taylor]: Taking taylor expansion of x in y 3.015 * [backup-simplify]: Simplify x into x 3.015 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.015 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.016 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 3.016 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 3.016 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 3.016 * [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 3.016 * [taylor]: Taking taylor expansion of 0 in y 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.017 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 3.017 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.017 * [backup-simplify]: Simplify (+ 0) into 0 3.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [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))))))) into 0 3.018 * [taylor]: Taking taylor expansion of 0 in y 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.019 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 3.019 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 3.020 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 3.020 * [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))) 3.020 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 3.021 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 3.021 * [taylor]: Taking taylor expansion of 0 in y 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 3.022 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 3.023 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.023 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 3.024 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.025 * [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 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [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 3.025 * [taylor]: Taking taylor expansion of 0 in y 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 3.026 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 3.026 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 3.026 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 3.026 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 3.026 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 3.026 * [taylor]: Taking taylor expansion of 0.5 in y 3.026 * [backup-simplify]: Simplify 0.5 into 0.5 3.026 * [taylor]: Taking taylor expansion of (/ x y) in y 3.026 * [taylor]: Taking taylor expansion of x in y 3.026 * [backup-simplify]: Simplify x into x 3.026 * [taylor]: Taking taylor expansion of y in y 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (/ x 1) into x 3.026 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 3.026 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 3.026 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 3.026 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 3.026 * [taylor]: Taking taylor expansion of 0.5 in x 3.026 * [backup-simplify]: Simplify 0.5 into 0.5 3.026 * [taylor]: Taking taylor expansion of (/ x y) in x 3.026 * [taylor]: Taking taylor expansion of x in x 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 1 into 1 3.026 * [taylor]: Taking taylor expansion of y in x 3.026 * [backup-simplify]: Simplify y into y 3.027 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.027 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 3.027 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 3.027 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 3.027 * [taylor]: Taking taylor expansion of 0.5 in x 3.027 * [backup-simplify]: Simplify 0.5 into 0.5 3.027 * [taylor]: Taking taylor expansion of (/ x y) in x 3.027 * [taylor]: Taking taylor expansion of x in x 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [taylor]: Taking taylor expansion of y in x 3.027 * [backup-simplify]: Simplify y into y 3.027 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.027 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 3.027 * [taylor]: Taking taylor expansion of 0 in y 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 3.027 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 3.027 * [taylor]: Taking taylor expansion of 0.5 in y 3.027 * [backup-simplify]: Simplify 0.5 into 0.5 3.027 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.027 * [taylor]: Taking taylor expansion of y in y 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.029 * [backup-simplify]: Simplify (/ 1 1) into 1 3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 3.031 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 3.031 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.032 * [taylor]: Taking taylor expansion of 0 in y 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.033 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 3.033 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 3.033 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 3.033 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 3.033 * [taylor]: Taking taylor expansion of 0.5 in y 3.033 * [backup-simplify]: Simplify 0.5 into 0.5 3.033 * [taylor]: Taking taylor expansion of (/ y x) in y 3.033 * [taylor]: Taking taylor expansion of y in y 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [taylor]: Taking taylor expansion of x in y 3.033 * [backup-simplify]: Simplify x into x 3.033 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.034 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.034 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 3.034 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 3.034 * [taylor]: Taking taylor expansion of 0.5 in x 3.034 * [backup-simplify]: Simplify 0.5 into 0.5 3.034 * [taylor]: Taking taylor expansion of (/ y x) in x 3.034 * [taylor]: Taking taylor expansion of y in x 3.034 * [backup-simplify]: Simplify y into y 3.034 * [taylor]: Taking taylor expansion of x in x 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (/ y 1) into y 3.034 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 3.034 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 3.034 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 3.034 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 3.034 * [taylor]: Taking taylor expansion of 0.5 in x 3.034 * [backup-simplify]: Simplify 0.5 into 0.5 3.034 * [taylor]: Taking taylor expansion of (/ y x) in x 3.034 * [taylor]: Taking taylor expansion of y in x 3.034 * [backup-simplify]: Simplify y into y 3.034 * [taylor]: Taking taylor expansion of x in x 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (/ y 1) into y 3.034 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 3.034 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 3.034 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 3.034 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 3.034 * [taylor]: Taking taylor expansion of 0.5 in y 3.034 * [backup-simplify]: Simplify 0.5 into 0.5 3.034 * [taylor]: Taking taylor expansion of (/ y x) in y 3.034 * [taylor]: Taking taylor expansion of y in y 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 1 into 1 3.034 * [taylor]: Taking taylor expansion of x in y 3.034 * [backup-simplify]: Simplify x into x 3.034 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.035 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [taylor]: Taking taylor expansion of 0 in y 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 3.035 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.035 * [taylor]: Taking taylor expansion of 0 in y 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.035 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 3.036 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [taylor]: Taking taylor expansion of 0 in y 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 3.036 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 3.036 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 3.036 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 3.036 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 3.036 * [taylor]: Taking taylor expansion of 0.5 in y 3.036 * [backup-simplify]: Simplify 0.5 into 0.5 3.036 * [taylor]: Taking taylor expansion of (/ y x) in y 3.036 * [taylor]: Taking taylor expansion of y in y 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 1 into 1 3.037 * [taylor]: Taking taylor expansion of x in y 3.037 * [backup-simplify]: Simplify x into x 3.037 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.037 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.037 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 3.037 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 3.037 * [taylor]: Taking taylor expansion of 0.5 in x 3.037 * [backup-simplify]: Simplify 0.5 into 0.5 3.037 * [taylor]: Taking taylor expansion of (/ y x) in x 3.037 * [taylor]: Taking taylor expansion of y in x 3.037 * [backup-simplify]: Simplify y into y 3.037 * [taylor]: Taking taylor expansion of x in x 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (/ y 1) into y 3.037 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 3.037 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 3.037 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 3.037 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 3.037 * [taylor]: Taking taylor expansion of 0.5 in x 3.037 * [backup-simplify]: Simplify 0.5 into 0.5 3.037 * [taylor]: Taking taylor expansion of (/ y x) in x 3.037 * [taylor]: Taking taylor expansion of y in x 3.037 * [backup-simplify]: Simplify y into y 3.037 * [taylor]: Taking taylor expansion of x in x 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (/ y 1) into y 3.037 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 3.037 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 3.037 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 3.037 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 3.037 * [taylor]: Taking taylor expansion of 0.5 in y 3.037 * [backup-simplify]: Simplify 0.5 into 0.5 3.037 * [taylor]: Taking taylor expansion of (/ y x) in y 3.037 * [taylor]: Taking taylor expansion of y in y 3.037 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [taylor]: Taking taylor expansion of x in y 3.037 * [backup-simplify]: Simplify x into x 3.037 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.038 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [taylor]: Taking taylor expansion of 0 in y 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 3.038 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 3.038 * [taylor]: Taking taylor expansion of 0 in y 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 3.038 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 3.039 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [taylor]: Taking taylor expansion of 0 in y 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 3.039 * * * [progress]: simplifying candidates 3.040 * [simplify]: Simplifying: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 3.040 * * [simplify]: Extracting # 0 : cost 17 inf + 0 3.040 * * [simplify]: Extracting # 1 : cost 23 inf + 1 3.040 * * [simplify]: Extracting # 2 : cost 27 inf + 2 3.040 * * [simplify]: Extracting # 3 : cost 26 inf + 47 3.040 * * [simplify]: Extracting # 4 : cost 22 inf + 399 3.041 * * [simplify]: Extracting # 5 : cost 7 inf + 3355 3.041 * * [simplify]: Extracting # 6 : cost 2 inf + 4855 3.042 * * [simplify]: Extracting # 7 : cost 0 inf + 5984 3.042 * * [simplify]: iteration 0 : 33 enodes (cost 11517 ) 3.049 * * [simplify]: Extracting # 0 : cost 0 inf + 5984 3.050 * * [simplify]: Extracting # 1 : cost 6 inf + 5984 3.051 * * [simplify]: Extracting # 2 : cost 3 inf + 5968 3.052 * * [simplify]: Extracting # 3 : cost 0 inf + 5610 3.053 * * [simplify]: iteration 1 : 57 enodes (cost 9951 ) 3.074 * * [simplify]: Extracting # 0 : cost 0 inf + 5610 3.075 * * [simplify]: Extracting # 1 : cost 29 inf + 5610 3.076 * * [simplify]: Extracting # 2 : cost 3 inf + 10425 3.078 * * [simplify]: Extracting # 3 : cost 2 inf + 10426 3.079 * * [simplify]: Extracting # 4 : cost 0 inf + 10850 3.080 * * [simplify]: iteration 2 : 129 enodes (cost 9951 ) 3.125 * * [simplify]: Extracting # 0 : cost 0 inf + 10850 3.129 * * [simplify]: Extracting # 1 : cost 109 inf + 10810 3.136 * * [simplify]: Extracting # 2 : cost 3 inf + 39320 3.145 * * [simplify]: Extracting # 3 : cost 2 inf + 39241 3.157 * * [simplify]: Extracting # 4 : cost 0 inf + 39665 3.166 * * [simplify]: iteration 3 : 441 enodes (cost 9231 ) 3.543 * * [simplify]: Extracting # 0 : cost 0 inf + 39665 3.562 * * [simplify]: Extracting # 1 : cost 249 inf + 38081 3.600 * * [simplify]: Extracting # 2 : cost 4 inf + 138156 3.639 * * [simplify]: Extracting # 3 : cost 1 inf + 138913 3.662 * * [simplify]: Extracting # 4 : cost 0 inf + 139125 3.707 * * [simplify]: iteration 4 : 1556 enodes (cost 8991 ) 5.456 * * [simplify]: Extracting # 0 : cost 0 inf + 139125 5.572 * * [simplify]: Extracting # 1 : cost 1093 inf + 133866 5.764 * * [simplify]: Extracting # 2 : cost 55 inf + 751391 6.007 * * [simplify]: Extracting # 3 : cost 18 inf + 748305 6.282 * * [simplify]: Extracting # 4 : cost 0 inf + 751844 6.615 * * [simplify]: iteration complete: 5001 enodes (cost 8991 ) 6.615 * [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)))) (* (* (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 (* (/ x y) (+ (* (* (/ x y) (/ x y)) 0.04166666666666667) 0.5)) (* (/ x y) (+ (* (* (/ x y) (/ x y)) 0.04166666666666667) 0.5)) 0 (* (/ x y) (+ (* (* (/ x y) (/ x y)) 0.04166666666666667) 0.5)) (* (/ x y) (+ (* (* (/ x y) (/ x y)) 0.04166666666666667) 0.5)) 0 (* (/ x y) (+ (* (* (/ x y) (/ x y)) 0.04166666666666667) 0.5)) (* (/ x y) (+ (* (* (/ x y) (/ x y)) 0.04166666666666667) 0.5)) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 6.619 * * * [progress]: adding candidates to table 6.941 * * [progress]: iteration 4 / 4 6.941 * * * [progress]: picking best candidate 7.020 * * * * [pick]: Picked # 7.020 * * * [progress]: localizing error 7.076 * * * [progress]: generating rewritten candidates 7.076 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 7.079 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 7.082 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 7.084 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 7.088 * * * [progress]: generating series expansions 7.088 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 7.089 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 7.089 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 7.089 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 7.089 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 7.089 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 7.089 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 7.089 * [taylor]: Taking taylor expansion of 0.5 in y 7.089 * [backup-simplify]: Simplify 0.5 into 0.5 7.089 * [taylor]: Taking taylor expansion of (/ x y) in y 7.089 * [taylor]: Taking taylor expansion of x in y 7.089 * [backup-simplify]: Simplify x into x 7.089 * [taylor]: Taking taylor expansion of y in y 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [backup-simplify]: Simplify (/ x 1) into x 7.089 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 7.089 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 7.089 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 7.089 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 7.089 * [taylor]: Taking taylor expansion of 0.5 in y 7.089 * [backup-simplify]: Simplify 0.5 into 0.5 7.089 * [taylor]: Taking taylor expansion of (/ x y) in y 7.089 * [taylor]: Taking taylor expansion of x in y 7.089 * [backup-simplify]: Simplify x into x 7.089 * [taylor]: Taking taylor expansion of y in y 7.089 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify 1 into 1 7.089 * [backup-simplify]: Simplify (/ x 1) into x 7.089 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 7.089 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 7.090 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 7.090 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 7.090 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 7.090 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 7.090 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.090 * [taylor]: Taking taylor expansion of 0.5 in x 7.090 * [backup-simplify]: Simplify 0.5 into 0.5 7.090 * [taylor]: Taking taylor expansion of (/ x y) in x 7.090 * [taylor]: Taking taylor expansion of x in x 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [taylor]: Taking taylor expansion of y in x 7.090 * [backup-simplify]: Simplify y into y 7.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.090 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.090 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 7.090 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.090 * [taylor]: Taking taylor expansion of 0.5 in x 7.090 * [backup-simplify]: Simplify 0.5 into 0.5 7.090 * [taylor]: Taking taylor expansion of (/ x y) in x 7.090 * [taylor]: Taking taylor expansion of x in x 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify 1 into 1 7.090 * [taylor]: Taking taylor expansion of y in x 7.090 * [backup-simplify]: Simplify y into y 7.090 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.090 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.090 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 7.091 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 7.091 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 7.091 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 7.091 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 7.091 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.091 * [taylor]: Taking taylor expansion of 0.5 in x 7.091 * [backup-simplify]: Simplify 0.5 into 0.5 7.091 * [taylor]: Taking taylor expansion of (/ x y) in x 7.091 * [taylor]: Taking taylor expansion of x in x 7.091 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify 1 into 1 7.091 * [taylor]: Taking taylor expansion of y in x 7.091 * [backup-simplify]: Simplify y into y 7.091 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.091 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.091 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 7.091 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.091 * [taylor]: Taking taylor expansion of 0.5 in x 7.091 * [backup-simplify]: Simplify 0.5 into 0.5 7.091 * [taylor]: Taking taylor expansion of (/ x y) in x 7.091 * [taylor]: Taking taylor expansion of x in x 7.091 * [backup-simplify]: Simplify 0 into 0 7.091 * [backup-simplify]: Simplify 1 into 1 7.091 * [taylor]: Taking taylor expansion of y in x 7.091 * [backup-simplify]: Simplify y into y 7.091 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.091 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.091 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 7.091 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 7.091 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 7.091 * [taylor]: Taking taylor expansion of 0.5 in y 7.091 * [backup-simplify]: Simplify 0.5 into 0.5 7.091 * [taylor]: Taking taylor expansion of y in y 7.091 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify 1 into 1 7.092 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 7.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 7.093 * [backup-simplify]: Simplify 0 into 0 7.093 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 7.093 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 7.094 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.094 * [backup-simplify]: Simplify (+ 0) into 0 7.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 7.095 * [taylor]: Taking taylor expansion of 0 in y 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.095 * [backup-simplify]: Simplify 0 into 0 7.095 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.096 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 7.097 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 7.097 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 7.098 * [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))) 7.098 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 7.098 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 7.098 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 7.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 7.098 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.098 * [taylor]: Taking taylor expansion of y in y 7.098 * [backup-simplify]: Simplify 0 into 0 7.098 * [backup-simplify]: Simplify 1 into 1 7.099 * [backup-simplify]: Simplify (* 1 1) into 1 7.099 * [backup-simplify]: Simplify (* 1 1) into 1 7.099 * [backup-simplify]: Simplify (/ 1 1) into 1 7.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.109 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.109 * [backup-simplify]: Simplify 0 into 0 7.109 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 7.110 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 7.110 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 7.110 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.110 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.110 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.110 * [taylor]: Taking taylor expansion of 0.5 in y 7.110 * [backup-simplify]: Simplify 0.5 into 0.5 7.110 * [taylor]: Taking taylor expansion of (/ y x) in y 7.110 * [taylor]: Taking taylor expansion of y in y 7.110 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify 1 into 1 7.110 * [taylor]: Taking taylor expansion of x in y 7.111 * [backup-simplify]: Simplify x into x 7.111 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.111 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.111 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.111 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.111 * [taylor]: Taking taylor expansion of 0.5 in y 7.111 * [backup-simplify]: Simplify 0.5 into 0.5 7.111 * [taylor]: Taking taylor expansion of (/ y x) in y 7.111 * [taylor]: Taking taylor expansion of y in y 7.111 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify 1 into 1 7.111 * [taylor]: Taking taylor expansion of x in y 7.111 * [backup-simplify]: Simplify x into x 7.111 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.111 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.111 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.111 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 7.111 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 7.112 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.112 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.112 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.112 * [taylor]: Taking taylor expansion of 0.5 in x 7.112 * [backup-simplify]: Simplify 0.5 into 0.5 7.112 * [taylor]: Taking taylor expansion of (/ y x) in x 7.112 * [taylor]: Taking taylor expansion of y in x 7.112 * [backup-simplify]: Simplify y into y 7.112 * [taylor]: Taking taylor expansion of x in x 7.112 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify 1 into 1 7.112 * [backup-simplify]: Simplify (/ y 1) into y 7.112 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.112 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.112 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.112 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.112 * [taylor]: Taking taylor expansion of 0.5 in x 7.112 * [backup-simplify]: Simplify 0.5 into 0.5 7.112 * [taylor]: Taking taylor expansion of (/ y x) in x 7.112 * [taylor]: Taking taylor expansion of y in x 7.112 * [backup-simplify]: Simplify y into y 7.112 * [taylor]: Taking taylor expansion of x in x 7.112 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify 1 into 1 7.112 * [backup-simplify]: Simplify (/ y 1) into y 7.113 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.113 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.113 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.113 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 7.113 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.113 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.113 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.113 * [taylor]: Taking taylor expansion of 0.5 in x 7.113 * [backup-simplify]: Simplify 0.5 into 0.5 7.113 * [taylor]: Taking taylor expansion of (/ y x) in x 7.113 * [taylor]: Taking taylor expansion of y in x 7.113 * [backup-simplify]: Simplify y into y 7.113 * [taylor]: Taking taylor expansion of x in x 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 1 into 1 7.113 * [backup-simplify]: Simplify (/ y 1) into y 7.113 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.114 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.114 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.114 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.114 * [taylor]: Taking taylor expansion of 0.5 in x 7.114 * [backup-simplify]: Simplify 0.5 into 0.5 7.114 * [taylor]: Taking taylor expansion of (/ y x) in x 7.114 * [taylor]: Taking taylor expansion of y in x 7.114 * [backup-simplify]: Simplify y into y 7.114 * [taylor]: Taking taylor expansion of x in x 7.114 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify 1 into 1 7.114 * [backup-simplify]: Simplify (/ y 1) into y 7.114 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.114 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.114 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.114 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 7.114 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.115 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.115 * [taylor]: Taking taylor expansion of 0.5 in y 7.115 * [backup-simplify]: Simplify 0.5 into 0.5 7.115 * [taylor]: Taking taylor expansion of (/ y x) in y 7.115 * [taylor]: Taking taylor expansion of y in y 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 1 into 1 7.115 * [taylor]: Taking taylor expansion of x in y 7.115 * [backup-simplify]: Simplify x into x 7.115 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.115 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.115 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.115 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.115 * [taylor]: Taking taylor expansion of 0.5 in y 7.115 * [backup-simplify]: Simplify 0.5 into 0.5 7.115 * [taylor]: Taking taylor expansion of (/ y x) in y 7.115 * [taylor]: Taking taylor expansion of y in y 7.115 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify 1 into 1 7.115 * [taylor]: Taking taylor expansion of x in y 7.115 * [backup-simplify]: Simplify x into x 7.115 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.115 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.116 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.116 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 7.116 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 7.116 * [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 7.117 * [taylor]: Taking taylor expansion of 0 in y 7.117 * [backup-simplify]: Simplify 0 into 0 7.117 * [backup-simplify]: Simplify 0 into 0 7.117 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.117 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.118 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.119 * [backup-simplify]: Simplify (+ 0) into 0 7.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 7.120 * [backup-simplify]: Simplify 0 into 0 7.121 * [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 7.121 * [taylor]: Taking taylor expansion of 0 in y 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.122 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.122 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 7.122 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 7.123 * [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))) 7.123 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 7.124 * [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 7.124 * [taylor]: Taking taylor expansion of 0 in y 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.125 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.126 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.126 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.126 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.128 * [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 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [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 7.128 * [taylor]: Taking taylor expansion of 0 in y 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 7.129 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 7.129 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 7.129 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 7.129 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.129 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.129 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.129 * [taylor]: Taking taylor expansion of 0.5 in y 7.129 * [backup-simplify]: Simplify 0.5 into 0.5 7.129 * [taylor]: Taking taylor expansion of (/ y x) in y 7.129 * [taylor]: Taking taylor expansion of y in y 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify 1 into 1 7.129 * [taylor]: Taking taylor expansion of x in y 7.129 * [backup-simplify]: Simplify x into x 7.129 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.129 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.129 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.129 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.129 * [taylor]: Taking taylor expansion of 0.5 in y 7.129 * [backup-simplify]: Simplify 0.5 into 0.5 7.129 * [taylor]: Taking taylor expansion of (/ y x) in y 7.129 * [taylor]: Taking taylor expansion of y in y 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify 1 into 1 7.129 * [taylor]: Taking taylor expansion of x in y 7.129 * [backup-simplify]: Simplify x into x 7.129 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.129 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.129 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.129 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 7.129 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 7.130 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.130 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.130 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.130 * [taylor]: Taking taylor expansion of 0.5 in x 7.130 * [backup-simplify]: Simplify 0.5 into 0.5 7.130 * [taylor]: Taking taylor expansion of (/ y x) in x 7.130 * [taylor]: Taking taylor expansion of y in x 7.130 * [backup-simplify]: Simplify y into y 7.130 * [taylor]: Taking taylor expansion of x in x 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify 1 into 1 7.130 * [backup-simplify]: Simplify (/ y 1) into y 7.130 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.130 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.130 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.130 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.130 * [taylor]: Taking taylor expansion of 0.5 in x 7.130 * [backup-simplify]: Simplify 0.5 into 0.5 7.130 * [taylor]: Taking taylor expansion of (/ y x) in x 7.130 * [taylor]: Taking taylor expansion of y in x 7.130 * [backup-simplify]: Simplify y into y 7.130 * [taylor]: Taking taylor expansion of x in x 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify 1 into 1 7.130 * [backup-simplify]: Simplify (/ y 1) into y 7.130 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.130 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.130 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.130 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 7.130 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.130 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.130 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.130 * [taylor]: Taking taylor expansion of 0.5 in x 7.130 * [backup-simplify]: Simplify 0.5 into 0.5 7.130 * [taylor]: Taking taylor expansion of (/ y x) in x 7.130 * [taylor]: Taking taylor expansion of y in x 7.131 * [backup-simplify]: Simplify y into y 7.131 * [taylor]: Taking taylor expansion of x in x 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify 1 into 1 7.131 * [backup-simplify]: Simplify (/ y 1) into y 7.131 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.131 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.131 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.131 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.131 * [taylor]: Taking taylor expansion of 0.5 in x 7.131 * [backup-simplify]: Simplify 0.5 into 0.5 7.131 * [taylor]: Taking taylor expansion of (/ y x) in x 7.131 * [taylor]: Taking taylor expansion of y in x 7.131 * [backup-simplify]: Simplify y into y 7.131 * [taylor]: Taking taylor expansion of x in x 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify 1 into 1 7.131 * [backup-simplify]: Simplify (/ y 1) into y 7.131 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.131 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.131 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.131 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 7.131 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.131 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.131 * [taylor]: Taking taylor expansion of 0.5 in y 7.131 * [backup-simplify]: Simplify 0.5 into 0.5 7.131 * [taylor]: Taking taylor expansion of (/ y x) in y 7.131 * [taylor]: Taking taylor expansion of y in y 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify 1 into 1 7.131 * [taylor]: Taking taylor expansion of x in y 7.131 * [backup-simplify]: Simplify x into x 7.131 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.131 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.131 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.131 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.131 * [taylor]: Taking taylor expansion of 0.5 in y 7.132 * [backup-simplify]: Simplify 0.5 into 0.5 7.132 * [taylor]: Taking taylor expansion of (/ y x) in y 7.132 * [taylor]: Taking taylor expansion of y in y 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify 1 into 1 7.132 * [taylor]: Taking taylor expansion of x in y 7.132 * [backup-simplify]: Simplify x into x 7.132 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.132 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.132 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.132 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 7.132 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 7.132 * [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 7.132 * [taylor]: Taking taylor expansion of 0 in y 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.133 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.133 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.134 * [backup-simplify]: Simplify (+ 0) into 0 7.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 7.134 * [backup-simplify]: Simplify 0 into 0 7.135 * [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 7.135 * [taylor]: Taking taylor expansion of 0 in y 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify 0 into 0 7.135 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 7.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 7.137 * [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))) 7.137 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 7.138 * [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 7.138 * [taylor]: Taking taylor expansion of 0 in y 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.139 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.140 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.140 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.141 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.141 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.144 * [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 7.144 * [backup-simplify]: Simplify 0 into 0 7.145 * [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 7.145 * [taylor]: Taking taylor expansion of 0 in y 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 7.145 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 7.145 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 7.145 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 7.145 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 7.145 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 7.145 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 7.145 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 7.145 * [taylor]: Taking taylor expansion of 0.5 in y 7.145 * [backup-simplify]: Simplify 0.5 into 0.5 7.145 * [taylor]: Taking taylor expansion of (/ x y) in y 7.146 * [taylor]: Taking taylor expansion of x in y 7.146 * [backup-simplify]: Simplify x into x 7.146 * [taylor]: Taking taylor expansion of y in y 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify 1 into 1 7.146 * [backup-simplify]: Simplify (/ x 1) into x 7.146 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 7.146 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 7.146 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 7.146 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 7.146 * [taylor]: Taking taylor expansion of 0.5 in y 7.146 * [backup-simplify]: Simplify 0.5 into 0.5 7.146 * [taylor]: Taking taylor expansion of (/ x y) in y 7.146 * [taylor]: Taking taylor expansion of x in y 7.146 * [backup-simplify]: Simplify x into x 7.146 * [taylor]: Taking taylor expansion of y in y 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify 1 into 1 7.146 * [backup-simplify]: Simplify (/ x 1) into x 7.146 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 7.146 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 7.146 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 7.146 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 7.146 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 7.146 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 7.146 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.146 * [taylor]: Taking taylor expansion of 0.5 in x 7.146 * [backup-simplify]: Simplify 0.5 into 0.5 7.146 * [taylor]: Taking taylor expansion of (/ x y) in x 7.146 * [taylor]: Taking taylor expansion of x in x 7.146 * [backup-simplify]: Simplify 0 into 0 7.146 * [backup-simplify]: Simplify 1 into 1 7.146 * [taylor]: Taking taylor expansion of y in x 7.146 * [backup-simplify]: Simplify y into y 7.146 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.147 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.147 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 7.147 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.147 * [taylor]: Taking taylor expansion of 0.5 in x 7.147 * [backup-simplify]: Simplify 0.5 into 0.5 7.147 * [taylor]: Taking taylor expansion of (/ x y) in x 7.147 * [taylor]: Taking taylor expansion of x in x 7.147 * [backup-simplify]: Simplify 0 into 0 7.147 * [backup-simplify]: Simplify 1 into 1 7.147 * [taylor]: Taking taylor expansion of y in x 7.147 * [backup-simplify]: Simplify y into y 7.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.147 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 7.147 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 7.147 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 7.147 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 7.147 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 7.147 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.147 * [taylor]: Taking taylor expansion of 0.5 in x 7.147 * [backup-simplify]: Simplify 0.5 into 0.5 7.147 * [taylor]: Taking taylor expansion of (/ x y) in x 7.147 * [taylor]: Taking taylor expansion of x in x 7.147 * [backup-simplify]: Simplify 0 into 0 7.147 * [backup-simplify]: Simplify 1 into 1 7.147 * [taylor]: Taking taylor expansion of y in x 7.147 * [backup-simplify]: Simplify y into y 7.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.147 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.147 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 7.147 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.147 * [taylor]: Taking taylor expansion of 0.5 in x 7.148 * [backup-simplify]: Simplify 0.5 into 0.5 7.148 * [taylor]: Taking taylor expansion of (/ x y) in x 7.148 * [taylor]: Taking taylor expansion of x in x 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify 1 into 1 7.148 * [taylor]: Taking taylor expansion of y in x 7.148 * [backup-simplify]: Simplify y into y 7.148 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.148 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.148 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 7.148 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 7.148 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 7.148 * [taylor]: Taking taylor expansion of 0.5 in y 7.148 * [backup-simplify]: Simplify 0.5 into 0.5 7.148 * [taylor]: Taking taylor expansion of y in y 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify 1 into 1 7.149 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 7.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 7.150 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 7.151 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 7.152 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.152 * [backup-simplify]: Simplify (+ 0) into 0 7.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 7.153 * [taylor]: Taking taylor expansion of 0 in y 7.153 * [backup-simplify]: Simplify 0 into 0 7.154 * [backup-simplify]: Simplify 0 into 0 7.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.155 * [backup-simplify]: Simplify 0 into 0 7.155 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.156 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 7.157 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 7.157 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 7.158 * [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))) 7.158 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 7.158 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 7.158 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 7.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 7.158 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.158 * [taylor]: Taking taylor expansion of y in y 7.158 * [backup-simplify]: Simplify 0 into 0 7.158 * [backup-simplify]: Simplify 1 into 1 7.158 * [backup-simplify]: Simplify (* 1 1) into 1 7.159 * [backup-simplify]: Simplify (* 1 1) into 1 7.159 * [backup-simplify]: Simplify (/ 1 1) into 1 7.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.165 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.165 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 7.166 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 7.166 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 7.166 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.166 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.166 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.166 * [taylor]: Taking taylor expansion of 0.5 in y 7.166 * [backup-simplify]: Simplify 0.5 into 0.5 7.166 * [taylor]: Taking taylor expansion of (/ y x) in y 7.166 * [taylor]: Taking taylor expansion of y in y 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 1 into 1 7.166 * [taylor]: Taking taylor expansion of x in y 7.166 * [backup-simplify]: Simplify x into x 7.166 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.166 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.166 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.166 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.166 * [taylor]: Taking taylor expansion of 0.5 in y 7.166 * [backup-simplify]: Simplify 0.5 into 0.5 7.166 * [taylor]: Taking taylor expansion of (/ y x) in y 7.166 * [taylor]: Taking taylor expansion of y in y 7.166 * [backup-simplify]: Simplify 0 into 0 7.166 * [backup-simplify]: Simplify 1 into 1 7.166 * [taylor]: Taking taylor expansion of x in y 7.166 * [backup-simplify]: Simplify x into x 7.166 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.166 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.166 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.166 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 7.166 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 7.167 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.167 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.167 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.167 * [taylor]: Taking taylor expansion of 0.5 in x 7.167 * [backup-simplify]: Simplify 0.5 into 0.5 7.167 * [taylor]: Taking taylor expansion of (/ y x) in x 7.167 * [taylor]: Taking taylor expansion of y in x 7.167 * [backup-simplify]: Simplify y into y 7.167 * [taylor]: Taking taylor expansion of x in x 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify 1 into 1 7.167 * [backup-simplify]: Simplify (/ y 1) into y 7.167 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.167 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.167 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.167 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.167 * [taylor]: Taking taylor expansion of 0.5 in x 7.167 * [backup-simplify]: Simplify 0.5 into 0.5 7.167 * [taylor]: Taking taylor expansion of (/ y x) in x 7.167 * [taylor]: Taking taylor expansion of y in x 7.167 * [backup-simplify]: Simplify y into y 7.167 * [taylor]: Taking taylor expansion of x in x 7.167 * [backup-simplify]: Simplify 0 into 0 7.167 * [backup-simplify]: Simplify 1 into 1 7.167 * [backup-simplify]: Simplify (/ y 1) into y 7.167 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.167 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.167 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.167 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 7.167 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.167 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.167 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.167 * [taylor]: Taking taylor expansion of 0.5 in x 7.167 * [backup-simplify]: Simplify 0.5 into 0.5 7.167 * [taylor]: Taking taylor expansion of (/ y x) in x 7.167 * [taylor]: Taking taylor expansion of y in x 7.168 * [backup-simplify]: Simplify y into y 7.168 * [taylor]: Taking taylor expansion of x in x 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify (/ y 1) into y 7.168 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.168 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.168 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.168 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.168 * [taylor]: Taking taylor expansion of 0.5 in x 7.168 * [backup-simplify]: Simplify 0.5 into 0.5 7.168 * [taylor]: Taking taylor expansion of (/ y x) in x 7.168 * [taylor]: Taking taylor expansion of y in x 7.168 * [backup-simplify]: Simplify y into y 7.168 * [taylor]: Taking taylor expansion of x in x 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.168 * [backup-simplify]: Simplify (/ y 1) into y 7.168 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.168 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.168 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.168 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 7.168 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.168 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.168 * [taylor]: Taking taylor expansion of 0.5 in y 7.168 * [backup-simplify]: Simplify 0.5 into 0.5 7.168 * [taylor]: Taking taylor expansion of (/ y x) in y 7.168 * [taylor]: Taking taylor expansion of y in y 7.168 * [backup-simplify]: Simplify 0 into 0 7.168 * [backup-simplify]: Simplify 1 into 1 7.168 * [taylor]: Taking taylor expansion of x in y 7.168 * [backup-simplify]: Simplify x into x 7.168 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.168 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.168 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.168 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.169 * [taylor]: Taking taylor expansion of 0.5 in y 7.169 * [backup-simplify]: Simplify 0.5 into 0.5 7.169 * [taylor]: Taking taylor expansion of (/ y x) in y 7.169 * [taylor]: Taking taylor expansion of y in y 7.169 * [backup-simplify]: Simplify 0 into 0 7.169 * [backup-simplify]: Simplify 1 into 1 7.169 * [taylor]: Taking taylor expansion of x in y 7.169 * [backup-simplify]: Simplify x into x 7.169 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.169 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.169 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.169 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 7.169 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 7.169 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 7.169 * [taylor]: Taking taylor expansion of 0 in y 7.169 * [backup-simplify]: Simplify 0 into 0 7.169 * [backup-simplify]: Simplify 0 into 0 7.169 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.170 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.171 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.171 * [backup-simplify]: Simplify (+ 0) into 0 7.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [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))))))) into 0 7.172 * [taylor]: Taking taylor expansion of 0 in y 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.173 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 7.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 7.174 * [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))) 7.174 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 7.175 * [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 7.175 * [taylor]: Taking taylor expansion of 0 in y 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify 0 into 0 7.175 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.176 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.177 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.177 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.177 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.178 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.179 * [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 7.179 * [backup-simplify]: Simplify 0 into 0 7.179 * [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 7.179 * [taylor]: Taking taylor expansion of 0 in y 7.179 * [backup-simplify]: Simplify 0 into 0 7.179 * [backup-simplify]: Simplify 0 into 0 7.179 * [backup-simplify]: Simplify 0 into 0 7.180 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 7.180 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 7.180 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 7.180 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 7.180 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.180 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.180 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.180 * [taylor]: Taking taylor expansion of 0.5 in y 7.180 * [backup-simplify]: Simplify 0.5 into 0.5 7.180 * [taylor]: Taking taylor expansion of (/ y x) in y 7.180 * [taylor]: Taking taylor expansion of y in y 7.180 * [backup-simplify]: Simplify 0 into 0 7.180 * [backup-simplify]: Simplify 1 into 1 7.180 * [taylor]: Taking taylor expansion of x in y 7.180 * [backup-simplify]: Simplify x into x 7.180 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.180 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.180 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.180 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.180 * [taylor]: Taking taylor expansion of 0.5 in y 7.180 * [backup-simplify]: Simplify 0.5 into 0.5 7.180 * [taylor]: Taking taylor expansion of (/ y x) in y 7.180 * [taylor]: Taking taylor expansion of y in y 7.180 * [backup-simplify]: Simplify 0 into 0 7.180 * [backup-simplify]: Simplify 1 into 1 7.180 * [taylor]: Taking taylor expansion of x in y 7.180 * [backup-simplify]: Simplify x into x 7.180 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.180 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.180 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.181 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 7.181 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 7.181 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.181 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.181 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.181 * [taylor]: Taking taylor expansion of 0.5 in x 7.181 * [backup-simplify]: Simplify 0.5 into 0.5 7.181 * [taylor]: Taking taylor expansion of (/ y x) in x 7.181 * [taylor]: Taking taylor expansion of y in x 7.181 * [backup-simplify]: Simplify y into y 7.181 * [taylor]: Taking taylor expansion of x in x 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 1 into 1 7.181 * [backup-simplify]: Simplify (/ y 1) into y 7.181 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.181 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.181 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.181 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.181 * [taylor]: Taking taylor expansion of 0.5 in x 7.181 * [backup-simplify]: Simplify 0.5 into 0.5 7.181 * [taylor]: Taking taylor expansion of (/ y x) in x 7.181 * [taylor]: Taking taylor expansion of y in x 7.181 * [backup-simplify]: Simplify y into y 7.181 * [taylor]: Taking taylor expansion of x in x 7.181 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify 1 into 1 7.181 * [backup-simplify]: Simplify (/ y 1) into y 7.181 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.182 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.182 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.182 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 7.182 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.182 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.182 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.182 * [taylor]: Taking taylor expansion of 0.5 in x 7.182 * [backup-simplify]: Simplify 0.5 into 0.5 7.182 * [taylor]: Taking taylor expansion of (/ y x) in x 7.182 * [taylor]: Taking taylor expansion of y in x 7.182 * [backup-simplify]: Simplify y into y 7.182 * [taylor]: Taking taylor expansion of x in x 7.182 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify 1 into 1 7.182 * [backup-simplify]: Simplify (/ y 1) into y 7.182 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.182 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.182 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.182 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.183 * [taylor]: Taking taylor expansion of 0.5 in x 7.183 * [backup-simplify]: Simplify 0.5 into 0.5 7.183 * [taylor]: Taking taylor expansion of (/ y x) in x 7.183 * [taylor]: Taking taylor expansion of y in x 7.183 * [backup-simplify]: Simplify y into y 7.183 * [taylor]: Taking taylor expansion of x in x 7.183 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 1 into 1 7.183 * [backup-simplify]: Simplify (/ y 1) into y 7.183 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.183 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.183 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.183 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 7.183 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.183 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.183 * [taylor]: Taking taylor expansion of 0.5 in y 7.183 * [backup-simplify]: Simplify 0.5 into 0.5 7.183 * [taylor]: Taking taylor expansion of (/ y x) in y 7.183 * [taylor]: Taking taylor expansion of y in y 7.183 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify 1 into 1 7.184 * [taylor]: Taking taylor expansion of x in y 7.184 * [backup-simplify]: Simplify x into x 7.184 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.184 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.184 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.184 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.184 * [taylor]: Taking taylor expansion of 0.5 in y 7.184 * [backup-simplify]: Simplify 0.5 into 0.5 7.184 * [taylor]: Taking taylor expansion of (/ y x) in y 7.184 * [taylor]: Taking taylor expansion of y in y 7.184 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify 1 into 1 7.184 * [taylor]: Taking taylor expansion of x in y 7.184 * [backup-simplify]: Simplify x into x 7.184 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.184 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.184 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.184 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 7.185 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 7.185 * [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 7.185 * [taylor]: Taking taylor expansion of 0 in y 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.186 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.187 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.187 * [backup-simplify]: Simplify (+ 0) into 0 7.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 7.188 * [backup-simplify]: Simplify 0 into 0 7.189 * [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 7.189 * [taylor]: Taking taylor expansion of 0 in y 7.189 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify 0 into 0 7.190 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.190 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.191 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 7.192 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 7.193 * [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))) 7.193 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 7.194 * [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 7.194 * [taylor]: Taking taylor expansion of 0 in y 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify 0 into 0 7.195 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.196 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.197 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.197 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.198 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.199 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.200 * [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 7.200 * [backup-simplify]: Simplify 0 into 0 7.201 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 7.201 * [taylor]: Taking taylor expansion of 0 in y 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 7.202 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 7.202 * [backup-simplify]: Simplify (tan (/ x (* y 2.0))) into (tan (* 0.5 (/ x y))) 7.202 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in (x y) around 0 7.203 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 7.203 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 7.203 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 7.203 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 7.203 * [taylor]: Taking taylor expansion of 0.5 in y 7.203 * [backup-simplify]: Simplify 0.5 into 0.5 7.203 * [taylor]: Taking taylor expansion of (/ x y) in y 7.203 * [taylor]: Taking taylor expansion of x in y 7.203 * [backup-simplify]: Simplify x into x 7.203 * [taylor]: Taking taylor expansion of y in y 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [backup-simplify]: Simplify (/ x 1) into x 7.203 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 7.203 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 7.203 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in y 7.203 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 7.203 * [taylor]: Taking taylor expansion of 0.5 in y 7.203 * [backup-simplify]: Simplify 0.5 into 0.5 7.203 * [taylor]: Taking taylor expansion of (/ x y) in y 7.203 * [taylor]: Taking taylor expansion of x in y 7.203 * [backup-simplify]: Simplify x into x 7.203 * [taylor]: Taking taylor expansion of y in y 7.203 * [backup-simplify]: Simplify 0 into 0 7.203 * [backup-simplify]: Simplify 1 into 1 7.203 * [backup-simplify]: Simplify (/ x 1) into x 7.204 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 7.204 * [backup-simplify]: Simplify (cos (* 0.5 (/ x y))) into (cos (* 0.5 (/ x y))) 7.204 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) into (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 7.204 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 7.204 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 7.204 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 7.204 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.204 * [taylor]: Taking taylor expansion of 0.5 in x 7.204 * [backup-simplify]: Simplify 0.5 into 0.5 7.204 * [taylor]: Taking taylor expansion of (/ x y) in x 7.204 * [taylor]: Taking taylor expansion of x in x 7.204 * [backup-simplify]: Simplify 0 into 0 7.204 * [backup-simplify]: Simplify 1 into 1 7.204 * [taylor]: Taking taylor expansion of y in x 7.204 * [backup-simplify]: Simplify y into y 7.204 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.204 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.204 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 7.205 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.205 * [taylor]: Taking taylor expansion of 0.5 in x 7.205 * [backup-simplify]: Simplify 0.5 into 0.5 7.205 * [taylor]: Taking taylor expansion of (/ x y) in x 7.205 * [taylor]: Taking taylor expansion of x in x 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify 1 into 1 7.205 * [taylor]: Taking taylor expansion of y in x 7.205 * [backup-simplify]: Simplify y into y 7.205 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.205 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.205 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 7.205 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 7.205 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in x 7.205 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ x y))) (cos (* 0.5 (/ x y)))) 7.205 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 7.205 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.205 * [taylor]: Taking taylor expansion of 0.5 in x 7.205 * [backup-simplify]: Simplify 0.5 into 0.5 7.205 * [taylor]: Taking taylor expansion of (/ x y) in x 7.206 * [taylor]: Taking taylor expansion of x in x 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 1 into 1 7.206 * [taylor]: Taking taylor expansion of y in x 7.206 * [backup-simplify]: Simplify y into y 7.206 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.206 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.206 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ x y))) in x 7.206 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.206 * [taylor]: Taking taylor expansion of 0.5 in x 7.206 * [backup-simplify]: Simplify 0.5 into 0.5 7.206 * [taylor]: Taking taylor expansion of (/ x y) in x 7.206 * [taylor]: Taking taylor expansion of x in x 7.206 * [backup-simplify]: Simplify 0 into 0 7.206 * [backup-simplify]: Simplify 1 into 1 7.206 * [taylor]: Taking taylor expansion of y in x 7.206 * [backup-simplify]: Simplify y into y 7.206 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.206 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.206 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 7.206 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 y)) 1) into (/ 0.5 y) 7.207 * [taylor]: Taking taylor expansion of (/ 0.5 y) in y 7.207 * [taylor]: Taking taylor expansion of 0.5 in y 7.207 * [backup-simplify]: Simplify 0.5 into 0.5 7.207 * [taylor]: Taking taylor expansion of y in y 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 1 into 1 7.207 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 7.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 7.208 * [backup-simplify]: Simplify 0 into 0 7.208 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 7.209 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 7.210 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.210 * [backup-simplify]: Simplify (+ 0) into 0 7.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 y) (/ 0 1)))) into 0 7.211 * [taylor]: Taking taylor expansion of 0 in y 7.211 * [backup-simplify]: Simplify 0 into 0 7.211 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.212 * [backup-simplify]: Simplify 0 into 0 7.212 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.213 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 7.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow y 3)))) 7.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 y) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow y 2)))) 7.215 * [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))) 7.215 * [taylor]: Taking taylor expansion of (* 0.04166666666666667 (/ 1 (pow y 3))) in y 7.215 * [taylor]: Taking taylor expansion of 0.04166666666666667 in y 7.215 * [backup-simplify]: Simplify 0.04166666666666667 into 0.04166666666666667 7.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 7.215 * [taylor]: Taking taylor expansion of (pow y 3) in y 7.215 * [taylor]: Taking taylor expansion of y in y 7.215 * [backup-simplify]: Simplify 0 into 0 7.215 * [backup-simplify]: Simplify 1 into 1 7.215 * [backup-simplify]: Simplify (* 1 1) into 1 7.215 * [backup-simplify]: Simplify (* 1 1) into 1 7.215 * [backup-simplify]: Simplify (/ 1 1) into 1 7.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.221 * [backup-simplify]: Simplify (+ (* 0.04166666666666667 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify (tan (/ (/ 1 x) (* (/ 1 y) 2.0))) into (tan (* 0.5 (/ y x))) 7.222 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 7.222 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 7.222 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.222 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.222 * [taylor]: Taking taylor expansion of 0.5 in y 7.222 * [backup-simplify]: Simplify 0.5 into 0.5 7.222 * [taylor]: Taking taylor expansion of (/ y x) in y 7.222 * [taylor]: Taking taylor expansion of y in y 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 1 into 1 7.222 * [taylor]: Taking taylor expansion of x in y 7.222 * [backup-simplify]: Simplify x into x 7.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.222 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.222 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.222 * [taylor]: Taking taylor expansion of 0.5 in y 7.222 * [backup-simplify]: Simplify 0.5 into 0.5 7.222 * [taylor]: Taking taylor expansion of (/ y x) in y 7.222 * [taylor]: Taking taylor expansion of y in y 7.222 * [backup-simplify]: Simplify 0 into 0 7.222 * [backup-simplify]: Simplify 1 into 1 7.222 * [taylor]: Taking taylor expansion of x in y 7.222 * [backup-simplify]: Simplify x into x 7.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.222 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.222 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.222 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 7.222 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 7.222 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.222 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.223 * [taylor]: Taking taylor expansion of 0.5 in x 7.223 * [backup-simplify]: Simplify 0.5 into 0.5 7.223 * [taylor]: Taking taylor expansion of (/ y x) in x 7.223 * [taylor]: Taking taylor expansion of y in x 7.223 * [backup-simplify]: Simplify y into y 7.223 * [taylor]: Taking taylor expansion of x in x 7.223 * [backup-simplify]: Simplify 0 into 0 7.223 * [backup-simplify]: Simplify 1 into 1 7.223 * [backup-simplify]: Simplify (/ y 1) into y 7.223 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.223 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.223 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.223 * [taylor]: Taking taylor expansion of 0.5 in x 7.223 * [backup-simplify]: Simplify 0.5 into 0.5 7.223 * [taylor]: Taking taylor expansion of (/ y x) in x 7.223 * [taylor]: Taking taylor expansion of y in x 7.223 * [backup-simplify]: Simplify y into y 7.223 * [taylor]: Taking taylor expansion of x in x 7.223 * [backup-simplify]: Simplify 0 into 0 7.223 * [backup-simplify]: Simplify 1 into 1 7.223 * [backup-simplify]: Simplify (/ y 1) into y 7.223 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.223 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.223 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.223 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 7.223 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.223 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.223 * [taylor]: Taking taylor expansion of 0.5 in x 7.223 * [backup-simplify]: Simplify 0.5 into 0.5 7.223 * [taylor]: Taking taylor expansion of (/ y x) in x 7.223 * [taylor]: Taking taylor expansion of y in x 7.223 * [backup-simplify]: Simplify y into y 7.223 * [taylor]: Taking taylor expansion of x in x 7.223 * [backup-simplify]: Simplify 0 into 0 7.223 * [backup-simplify]: Simplify 1 into 1 7.223 * [backup-simplify]: Simplify (/ y 1) into y 7.224 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.224 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.224 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.224 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.224 * [taylor]: Taking taylor expansion of 0.5 in x 7.224 * [backup-simplify]: Simplify 0.5 into 0.5 7.224 * [taylor]: Taking taylor expansion of (/ y x) in x 7.224 * [taylor]: Taking taylor expansion of y in x 7.224 * [backup-simplify]: Simplify y into y 7.224 * [taylor]: Taking taylor expansion of x in x 7.224 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify 1 into 1 7.224 * [backup-simplify]: Simplify (/ y 1) into y 7.224 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.224 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.224 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.224 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 7.224 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.224 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.224 * [taylor]: Taking taylor expansion of 0.5 in y 7.224 * [backup-simplify]: Simplify 0.5 into 0.5 7.224 * [taylor]: Taking taylor expansion of (/ y x) in y 7.224 * [taylor]: Taking taylor expansion of y in y 7.224 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify 1 into 1 7.224 * [taylor]: Taking taylor expansion of x in y 7.224 * [backup-simplify]: Simplify x into x 7.224 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.224 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.224 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.224 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.224 * [taylor]: Taking taylor expansion of 0.5 in y 7.224 * [backup-simplify]: Simplify 0.5 into 0.5 7.224 * [taylor]: Taking taylor expansion of (/ y x) in y 7.224 * [taylor]: Taking taylor expansion of y in y 7.224 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify 1 into 1 7.224 * [taylor]: Taking taylor expansion of x in y 7.224 * [backup-simplify]: Simplify x into x 7.224 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.225 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.225 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 7.225 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 7.225 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))))) into 0 7.225 * [taylor]: Taking taylor expansion of 0 in y 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.226 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.226 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.226 * [backup-simplify]: Simplify (+ 0) into 0 7.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 7.227 * [taylor]: Taking taylor expansion of 0 in y 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.228 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.229 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 7.229 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 7.229 * [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))) 7.230 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 7.230 * [backup-simplify]: Simplify (- (/ 0 (cos (* 0.5 (/ y x)))) (+ (* (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))) (* 0 (/ 0 (cos (* 0.5 (/ y x))))))) into 0 7.230 * [taylor]: Taking taylor expansion of 0 in y 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify 0 into 0 7.230 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.231 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.232 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.232 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.232 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.233 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.234 * [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 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [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 7.234 * [taylor]: Taking taylor expansion of 0 in y 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify 0 into 0 7.234 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 x) 3)) (pow (* (/ 1 y) 1) 3)) (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 7.235 * [backup-simplify]: Simplify (tan (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (tan (* 0.5 (/ y x))) 7.235 * [approximate]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in (x y) around 0 7.235 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 7.235 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.235 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.235 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.235 * [taylor]: Taking taylor expansion of 0.5 in y 7.235 * [backup-simplify]: Simplify 0.5 into 0.5 7.235 * [taylor]: Taking taylor expansion of (/ y x) in y 7.235 * [taylor]: Taking taylor expansion of y in y 7.235 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify 1 into 1 7.235 * [taylor]: Taking taylor expansion of x in y 7.235 * [backup-simplify]: Simplify x into x 7.235 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.235 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.235 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.235 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.235 * [taylor]: Taking taylor expansion of 0.5 in y 7.235 * [backup-simplify]: Simplify 0.5 into 0.5 7.235 * [taylor]: Taking taylor expansion of (/ y x) in y 7.235 * [taylor]: Taking taylor expansion of y in y 7.235 * [backup-simplify]: Simplify 0 into 0 7.235 * [backup-simplify]: Simplify 1 into 1 7.235 * [taylor]: Taking taylor expansion of x in y 7.235 * [backup-simplify]: Simplify x into x 7.235 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.235 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.236 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.236 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 7.236 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 7.236 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.236 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.236 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.236 * [taylor]: Taking taylor expansion of 0.5 in x 7.236 * [backup-simplify]: Simplify 0.5 into 0.5 7.236 * [taylor]: Taking taylor expansion of (/ y x) in x 7.236 * [taylor]: Taking taylor expansion of y in x 7.236 * [backup-simplify]: Simplify y into y 7.236 * [taylor]: Taking taylor expansion of x in x 7.236 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify 1 into 1 7.236 * [backup-simplify]: Simplify (/ y 1) into y 7.236 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.236 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.236 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.236 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.236 * [taylor]: Taking taylor expansion of 0.5 in x 7.236 * [backup-simplify]: Simplify 0.5 into 0.5 7.236 * [taylor]: Taking taylor expansion of (/ y x) in x 7.236 * [taylor]: Taking taylor expansion of y in x 7.236 * [backup-simplify]: Simplify y into y 7.236 * [taylor]: Taking taylor expansion of x in x 7.236 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify 1 into 1 7.236 * [backup-simplify]: Simplify (/ y 1) into y 7.236 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.236 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.236 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.236 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in x 7.236 * [taylor]: Rewrote expression to (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.236 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.237 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.237 * [taylor]: Taking taylor expansion of 0.5 in x 7.237 * [backup-simplify]: Simplify 0.5 into 0.5 7.237 * [taylor]: Taking taylor expansion of (/ y x) in x 7.237 * [taylor]: Taking taylor expansion of y in x 7.237 * [backup-simplify]: Simplify y into y 7.237 * [taylor]: Taking taylor expansion of x in x 7.237 * [backup-simplify]: Simplify 0 into 0 7.237 * [backup-simplify]: Simplify 1 into 1 7.237 * [backup-simplify]: Simplify (/ y 1) into y 7.237 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.237 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.237 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in x 7.237 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.237 * [taylor]: Taking taylor expansion of 0.5 in x 7.237 * [backup-simplify]: Simplify 0.5 into 0.5 7.237 * [taylor]: Taking taylor expansion of (/ y x) in x 7.237 * [taylor]: Taking taylor expansion of y in x 7.237 * [backup-simplify]: Simplify y into y 7.237 * [taylor]: Taking taylor expansion of x in x 7.237 * [backup-simplify]: Simplify 0 into 0 7.237 * [backup-simplify]: Simplify 1 into 1 7.237 * [backup-simplify]: Simplify (/ y 1) into y 7.237 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.237 * [backup-simplify]: Simplify (cos (* 0.5 (/ y x))) into (cos (* 0.5 (/ y x))) 7.237 * [backup-simplify]: Simplify (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) into (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) 7.237 * [taylor]: Taking taylor expansion of (/ (sin (* 0.5 (/ y x))) (cos (* 0.5 (/ y x)))) in y 7.237 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.237 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.237 * [taylor]: Taking taylor expansion of 0.5 in y 7.237 * [backup-simplify]: Simplify 0.5 into 0.5 7.237 * [taylor]: Taking taylor expansion of (/ y x) in y 7.237 * [taylor]: Taking taylor expansion of y in y 7.237 * [backup-simplify]: Simplify 0 into 0 7.237 * [backup-simplify]: Simplify 1 into 1 7.237 * [taylor]: Taking taylor expansion of x in y 7.237 * [backup-simplify]: Simplify x into x 7.238 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.238 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.238 * [taylor]: Taking taylor expansion of (cos (* 0.5 (/ y x))) in y 7.238 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.238 * [taylor]: Taking taylor expansion of 0.5 in y 7.238 * [backup-simplify]: Simplify 0.5 into 0.5 7.238 * [taylor]: Taking taylor expansion of (/ y x) in y 7.238 * [taylor]: Taking taylor expansion of y in y 7.238 * [backup-simplify]: Simplify 0 into 0 7.238 * [backup-simplify]: Simplify 1 into 1 7.238 * [taylor]: Taking taylor expansion of x in y 7.238 * [backup-simplify]: Simplify x into x 7.238 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.238 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.238 * [backup-simplify]: Simplify (/ (* 0.5 (/ 1 x)) 1) into (/ 0.5 x) 7.238 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 7.239 * [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 7.239 * [taylor]: Taking taylor expansion of 0 in y 7.239 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.240 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.240 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.241 * [backup-simplify]: Simplify (+ 0) into 0 7.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 0.5 x) (/ 0 1)))) into 0 7.241 * [backup-simplify]: Simplify 0 into 0 7.241 * [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 7.242 * [taylor]: Taking taylor expansion of 0 in y 7.242 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify 0 into 0 7.242 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.242 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.243 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 0.020833333333333332 (/ 1 (pow x 3)))) 7.243 * [backup-simplify]: Simplify (+ (* -1 (/ (pow (/ 0.5 x) 2) 2)) 0) into (- (* 0.125 (/ 1 (pow x 2)))) 7.244 * [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))) 7.244 * [backup-simplify]: Simplify (* 0.04166666666666667 (/ 1 (pow x 3))) into (/ 0.04166666666666667 (pow x 3)) 7.244 * [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 7.244 * [taylor]: Taking taylor expansion of 0 in y 7.244 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify 0 into 0 7.245 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.246 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.247 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 7.247 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.248 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.248 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow (/ 0.5 x) 1) 1) (/ (pow 0 1) 1)) 0) into 0 7.250 * [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 7.250 * [backup-simplify]: Simplify 0 into 0 7.251 * [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 7.251 * [taylor]: Taking taylor expansion of 0 in y 7.251 * [backup-simplify]: Simplify 0 into 0 7.251 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify (+ (* (/ 0.04166666666666667 (pow (/ 1 (- x)) 3)) (pow (* (/ 1 (- y)) 1) 3)) (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1))) into (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 7.252 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 7.252 * [backup-simplify]: Simplify (sin (/ x (* y 2.0))) into (sin (* 0.5 (/ x y))) 7.252 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in (x y) around 0 7.252 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 7.253 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 7.253 * [taylor]: Taking taylor expansion of 0.5 in y 7.253 * [backup-simplify]: Simplify 0.5 into 0.5 7.253 * [taylor]: Taking taylor expansion of (/ x y) in y 7.253 * [taylor]: Taking taylor expansion of x in y 7.253 * [backup-simplify]: Simplify x into x 7.253 * [taylor]: Taking taylor expansion of y in y 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [backup-simplify]: Simplify 1 into 1 7.253 * [backup-simplify]: Simplify (/ x 1) into x 7.253 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 7.253 * [backup-simplify]: Simplify (sin (* 0.5 (/ x y))) into (sin (* 0.5 (/ x y))) 7.253 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 7.253 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.253 * [taylor]: Taking taylor expansion of 0.5 in x 7.253 * [backup-simplify]: Simplify 0.5 into 0.5 7.253 * [taylor]: Taking taylor expansion of (/ x y) in x 7.253 * [taylor]: Taking taylor expansion of x in x 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [backup-simplify]: Simplify 1 into 1 7.253 * [taylor]: Taking taylor expansion of y in x 7.253 * [backup-simplify]: Simplify y into y 7.253 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.253 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.253 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in x 7.254 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 7.254 * [taylor]: Taking taylor expansion of 0.5 in x 7.254 * [backup-simplify]: Simplify 0.5 into 0.5 7.254 * [taylor]: Taking taylor expansion of (/ x y) in x 7.254 * [taylor]: Taking taylor expansion of x in x 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify 1 into 1 7.254 * [taylor]: Taking taylor expansion of y in x 7.254 * [backup-simplify]: Simplify y into y 7.254 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.254 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 7.254 * [taylor]: Taking taylor expansion of 0 in y 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 y) 1) 1))) into (* 0.5 (/ 1 y)) 7.254 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 7.254 * [taylor]: Taking taylor expansion of 0.5 in y 7.254 * [backup-simplify]: Simplify 0.5 into 0.5 7.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.254 * [taylor]: Taking taylor expansion of y in y 7.254 * [backup-simplify]: Simplify 0 into 0 7.254 * [backup-simplify]: Simplify 1 into 1 7.255 * [backup-simplify]: Simplify (/ 1 1) into 1 7.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.256 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.256 * [backup-simplify]: Simplify 0 into 0 7.257 * [backup-simplify]: Simplify 0 into 0 7.257 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 7.257 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 7.258 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.258 * [taylor]: Taking taylor expansion of 0 in y 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.260 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 7.260 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify (sin (/ (/ 1 x) (* (/ 1 y) 2.0))) into (sin (* 0.5 (/ y x))) 7.261 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 7.261 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.261 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.261 * [taylor]: Taking taylor expansion of 0.5 in y 7.261 * [backup-simplify]: Simplify 0.5 into 0.5 7.261 * [taylor]: Taking taylor expansion of (/ y x) in y 7.261 * [taylor]: Taking taylor expansion of y in y 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [taylor]: Taking taylor expansion of x in y 7.261 * [backup-simplify]: Simplify x into x 7.261 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.261 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.261 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.261 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.261 * [taylor]: Taking taylor expansion of 0.5 in x 7.261 * [backup-simplify]: Simplify 0.5 into 0.5 7.261 * [taylor]: Taking taylor expansion of (/ y x) in x 7.261 * [taylor]: Taking taylor expansion of y in x 7.261 * [backup-simplify]: Simplify y into y 7.261 * [taylor]: Taking taylor expansion of x in x 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.262 * [backup-simplify]: Simplify (/ y 1) into y 7.262 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.262 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.262 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.262 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.262 * [taylor]: Taking taylor expansion of 0.5 in x 7.262 * [backup-simplify]: Simplify 0.5 into 0.5 7.262 * [taylor]: Taking taylor expansion of (/ y x) in x 7.262 * [taylor]: Taking taylor expansion of y in x 7.262 * [backup-simplify]: Simplify y into y 7.262 * [taylor]: Taking taylor expansion of x in x 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 1 into 1 7.262 * [backup-simplify]: Simplify (/ y 1) into y 7.262 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.262 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.262 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.262 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.262 * [taylor]: Taking taylor expansion of 0.5 in y 7.262 * [backup-simplify]: Simplify 0.5 into 0.5 7.262 * [taylor]: Taking taylor expansion of (/ y x) in y 7.263 * [taylor]: Taking taylor expansion of y in y 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 1 into 1 7.263 * [taylor]: Taking taylor expansion of x in y 7.263 * [backup-simplify]: Simplify x into x 7.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.263 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [taylor]: Taking taylor expansion of 0 in y 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.263 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.263 * [taylor]: Taking taylor expansion of 0 in y 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.264 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.265 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [taylor]: Taking taylor expansion of 0 in y 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 x)) (* (/ 1 y) 1)) into (* 0.5 (/ x y)) 7.266 * [backup-simplify]: Simplify (sin (/ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (sin (* 0.5 (/ y x))) 7.266 * [approximate]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in (x y) around 0 7.266 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.266 * [taylor]: Taking taylor expansion of 0.5 in y 7.266 * [backup-simplify]: Simplify 0.5 into 0.5 7.266 * [taylor]: Taking taylor expansion of (/ y x) in y 7.266 * [taylor]: Taking taylor expansion of y in y 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 1 into 1 7.266 * [taylor]: Taking taylor expansion of x in y 7.266 * [backup-simplify]: Simplify x into x 7.266 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.266 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.266 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.266 * [taylor]: Taking taylor expansion of 0.5 in x 7.266 * [backup-simplify]: Simplify 0.5 into 0.5 7.266 * [taylor]: Taking taylor expansion of (/ y x) in x 7.266 * [taylor]: Taking taylor expansion of y in x 7.266 * [backup-simplify]: Simplify y into y 7.266 * [taylor]: Taking taylor expansion of x in x 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 1 into 1 7.266 * [backup-simplify]: Simplify (/ y 1) into y 7.266 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.267 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.267 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in x 7.267 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 7.267 * [taylor]: Taking taylor expansion of 0.5 in x 7.267 * [backup-simplify]: Simplify 0.5 into 0.5 7.267 * [taylor]: Taking taylor expansion of (/ y x) in x 7.267 * [taylor]: Taking taylor expansion of y in x 7.267 * [backup-simplify]: Simplify y into y 7.267 * [taylor]: Taking taylor expansion of x in x 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.267 * [backup-simplify]: Simplify (/ y 1) into y 7.267 * [backup-simplify]: Simplify (* 0.5 y) into (* 0.5 y) 7.267 * [backup-simplify]: Simplify (sin (* 0.5 (/ y x))) into (sin (* 0.5 (/ y x))) 7.267 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 7.267 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 7.267 * [taylor]: Taking taylor expansion of 0.5 in y 7.267 * [backup-simplify]: Simplify 0.5 into 0.5 7.267 * [taylor]: Taking taylor expansion of (/ y x) in y 7.267 * [taylor]: Taking taylor expansion of y in y 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify 1 into 1 7.267 * [taylor]: Taking taylor expansion of x in y 7.267 * [backup-simplify]: Simplify x into x 7.268 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.268 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [taylor]: Taking taylor expansion of 0 in y 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify (+ (* 1 (/ (pow (/ 0.5 x) 1) 1))) into (* 0.5 (/ 1 x)) 7.268 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 7.268 * [taylor]: Taking taylor expansion of 0 in y 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify 0 into 0 7.269 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.269 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 7.270 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [taylor]: Taking taylor expansion of 0 in y 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- x))) (* (/ 1 (- y)) 1)) into (* 0.5 (/ x y)) 7.271 * * * [progress]: simplifying candidates 7.272 * [simplify]: Simplifying: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0 (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) (+ (* 0.5 (/ x y)) (* 0.04166666666666667 (/ (pow x 3) (pow y 3)))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 7.273 * * [simplify]: Extracting # 0 : cost 17 inf + 0 7.273 * * [simplify]: Extracting # 1 : cost 23 inf + 1 7.273 * * [simplify]: Extracting # 2 : cost 27 inf + 2 7.273 * * [simplify]: Extracting # 3 : cost 26 inf + 47 7.273 * * [simplify]: Extracting # 4 : cost 22 inf + 399 7.274 * * [simplify]: Extracting # 5 : cost 7 inf + 3355 7.275 * * [simplify]: Extracting # 6 : cost 2 inf + 4855 7.275 * * [simplify]: Extracting # 7 : cost 0 inf + 5984 7.276 * * [simplify]: iteration 0 : 33 enodes (cost 11517 ) 7.290 * * [simplify]: Extracting # 0 : cost 0 inf + 5984 7.291 * * [simplify]: Extracting # 1 : cost 6 inf + 5984 7.292 * * [simplify]: Extracting # 2 : cost 3 inf + 5968 7.293 * * [simplify]: Extracting # 3 : cost 0 inf + 5610 7.294 * * [simplify]: iteration 1 : 57 enodes (cost 9951 ) 7.316 * * [simplify]: Extracting # 0 : cost 0 inf + 5610 7.317 * * [simplify]: Extracting # 1 : cost 29 inf + 5610 7.319 * * [simplify]: Extracting # 2 : cost 3 inf + 10425 7.322 * * [simplify]: Extracting # 3 : cost 2 inf + 10426 7.324 * * [simplify]: Extracting # 4 : cost 0 inf + 10850 7.327 * * [simplify]: iteration 2 : 129 enodes (cost 9951 ) 7.362 * * [simplify]: Extracting # 0 : cost 0 inf + 10850 7.364 * * [simplify]: Extracting # 1 : cost 109 inf + 10810 7.367 * * [simplify]: Extracting # 2 : cost 3 inf + 39320 7.372 * * [simplify]: Extracting # 3 : cost 2 inf + 39241 7.376 * * [simplify]: Extracting # 4 : cost 0 inf + 39665 7.380 * * [simplify]: iteration 3 : 441 enodes (cost 9231 ) 7.721 * * [simplify]: Extracting # 0 : cost 0 inf + 39665 7.731 * * [simplify]: Extracting # 1 : cost 249 inf + 38081 7.765 * * [simplify]: Extracting # 2 : cost 4 inf + 138156 7.816 * * [simplify]: Extracting # 3 : cost 1 inf + 138913 7.859 * * [simplify]: Extracting # 4 : cost 0 inf + 139125 7.884 * * [simplify]: iteration 4 : 1556 enodes (cost 8991 ) 9.862 * * [simplify]: Extracting # 0 : cost 0 inf + 139125 9.964 * * [simplify]: Extracting # 1 : cost 1093 inf + 133866 10.159 * * [simplify]: Extracting # 2 : cost 55 inf + 751391 10.465 * * [simplify]: Extracting # 3 : cost 18 inf + 748305 10.728 * * [simplify]: Extracting # 4 : cost 0 inf + 751844 11.029 * * [simplify]: iteration complete: 5001 enodes (cost 8991 ) 11.030 * [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)))) (* (* (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 (* (/ x y) (+ (* (* (/ x y) (/ x y)) 0.04166666666666667) 0.5)) (* (/ x y) (+ (* (* (/ x y) (/ x y)) 0.04166666666666667) 0.5)) 0 (* (/ x y) (+ (* (* (/ x y) (/ x y)) 0.04166666666666667) 0.5)) (* (/ x y) (+ (* (* (/ x y) (/ x y)) 0.04166666666666667) 0.5)) 0 (* (/ x y) (+ (* (* (/ x y) (/ x y)) 0.04166666666666667) 0.5)) (* (/ x y) (+ (* (* (/ x y) (/ x y)) 0.04166666666666667) 0.5)) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 11.037 * * * [progress]: adding candidates to table 11.327 * [progress]: [Phase 3 of 3] Extracting. 11.327 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 11.331 * * * [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) 11.331 * * * * [regimes]: Trying to branch on (* y 2.0) from (# # # # # # # # # # # # # # #) 11.423 * * * * [regimes]: Trying to branch on (/ x (* y 2.0)) from (# # # # # # # # # # # # # # #) 11.575 * * * * [regimes]: Trying to branch on (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) from (# # # # # # # # # # # # # # #) 11.679 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # # # #) 11.835 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # #) 11.952 * * * [regime]: Found split indices: #