15.562 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: Extracting # 3 : cost 0 0.024 * * [simplify]: Extracting # 4 : cost 0 0.024 * * [simplify]: Extracting # 5 : cost 0 0.024 * * [simplify]: Extracting # 6 : cost 0 0.024 * * [simplify]: iteration 0 : 7 enodes (cost 15 ) 0.025 * * [simplify]: Extracting # 0 : cost 0 0.025 * * [simplify]: Extracting # 1 : cost 0 0.025 * * [simplify]: Extracting # 2 : cost 0 0.025 * * [simplify]: iteration 1 : 14 enodes (cost 14 ) 0.028 * * [simplify]: Extracting # 0 : cost 0 0.028 * * [simplify]: Extracting # 1 : cost 0 0.028 * * [simplify]: Extracting # 2 : cost 0 0.028 * * [simplify]: Extracting # 3 : cost 0 0.028 * * [simplify]: Extracting # 4 : cost 0 0.028 * * [simplify]: iteration 2 : 29 enodes (cost 11 ) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: Extracting # 3 : cost 0 0.035 * * [simplify]: Extracting # 4 : cost 0 0.035 * * [simplify]: iteration 3 : 50 enodes (cost 8 ) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.044 * * [simplify]: Extracting # 1 : cost 0 0.044 * * [simplify]: iteration 4 : 68 enodes (cost 8 ) 0.055 * * [simplify]: Extracting # 0 : cost 0 0.055 * * [simplify]: iteration 5 : 74 enodes (cost 8 ) 0.065 * * [simplify]: Extracting # 0 : cost 0 0.066 * * [simplify]: iteration done: 74 enodes (cost 8 ) 0.066 * [simplify]: Simplified to: (fma x x (* 3 (* y y))) 0.068 * * [progress]: iteration 1 / 4 0.068 * * * [progress]: picking best candidate 0.069 * * * * [pick]: Picked # 0.069 * * * [progress]: localizing error 0.079 * * * [progress]: generating rewritten candidates 0.079 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.210 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.221 * * * [progress]: generating series expansions 0.221 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.221 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 0.221 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [backup-simplify]: Simplify x into x 0.221 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.221 * [taylor]: Taking taylor expansion of 3 in y 0.221 * [backup-simplify]: Simplify 3 into 3 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.221 * [taylor]: Taking taylor expansion of 3 in x 0.221 * [backup-simplify]: Simplify 3 into 3 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [backup-simplify]: Simplify y into y 0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.222 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.222 * [taylor]: Taking taylor expansion of 3 in x 0.222 * [backup-simplify]: Simplify 3 into 3 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [backup-simplify]: Simplify y into y 0.222 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.222 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.222 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 0.222 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.222 * [taylor]: Taking taylor expansion of 3 in y 0.222 * [backup-simplify]: Simplify 3 into 3 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.223 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.225 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (* 3 1) into 3 0.225 * [backup-simplify]: Simplify 3 into 3 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.228 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.229 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.230 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.231 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.231 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [backup-simplify]: Simplify x into x 0.231 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.231 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.231 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.231 * [taylor]: Taking taylor expansion of 3 in y 0.231 * [backup-simplify]: Simplify 3 into 3 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [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 (* 1 1) into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.233 * [taylor]: Taking taylor expansion of 3 in x 0.233 * [backup-simplify]: Simplify 3 into 3 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [backup-simplify]: Simplify y into y 0.233 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.233 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.233 * [taylor]: Taking taylor expansion of 3 in x 0.233 * [backup-simplify]: Simplify 3 into 3 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [backup-simplify]: Simplify y into y 0.234 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.234 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.234 * [taylor]: Taking taylor expansion of 1 in y 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.236 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.236 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.236 * [taylor]: Taking taylor expansion of 3 in y 0.236 * [backup-simplify]: Simplify 3 into 3 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (* 3 1) into 3 0.237 * [backup-simplify]: Simplify 3 into 3 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.245 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.245 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [backup-simplify]: Simplify x into x 0.246 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.246 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.246 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.246 * [taylor]: Taking taylor expansion of 3 in y 0.246 * [backup-simplify]: Simplify 3 into 3 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 0.247 * [backup-simplify]: Simplify (* 1 1) into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.247 * [taylor]: Taking taylor expansion of 3 in x 0.247 * [backup-simplify]: Simplify 3 into 3 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [backup-simplify]: Simplify y into y 0.247 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.247 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.248 * [taylor]: Taking taylor expansion of 3 in x 0.248 * [backup-simplify]: Simplify 3 into 3 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [backup-simplify]: Simplify y into y 0.248 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.248 * [backup-simplify]: Simplify (+ 1 0) into 1 0.248 * [taylor]: Taking taylor expansion of 1 in y 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.251 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.251 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.251 * [taylor]: Taking taylor expansion of 3 in y 0.251 * [backup-simplify]: Simplify 3 into 3 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [backup-simplify]: Simplify (* 3 1) into 3 0.251 * [backup-simplify]: Simplify 3 into 3 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.259 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.259 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.259 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [backup-simplify]: Simplify x into x 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [backup-simplify]: Simplify y into y 0.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [backup-simplify]: Simplify y into y 0.260 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.260 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) 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 (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.261 * [taylor]: Taking taylor expansion of 1 in y 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.262 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.264 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.265 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.265 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [backup-simplify]: Simplify x into x 0.265 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.265 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [backup-simplify]: Simplify y into y 0.266 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.267 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (* 1 1) into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [backup-simplify]: Simplify y into y 0.267 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.268 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.268 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [taylor]: Taking taylor expansion of 1 in y 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.278 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.278 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.278 * [taylor]: Taking taylor expansion of x in y 0.278 * [backup-simplify]: Simplify x into x 0.278 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.278 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [backup-simplify]: Simplify y into y 0.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.279 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.280 * [taylor]: Taking taylor expansion of y in x 0.280 * [backup-simplify]: Simplify y into y 0.280 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.280 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.280 * [backup-simplify]: Simplify (+ 1 0) into 1 0.280 * [taylor]: Taking taylor expansion of 1 in y 0.280 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (* 1 1) into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.289 * * * [progress]: simplifying candidates 0.289 * [simplify]: Simplifying: (expm1 (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (log1p (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.290 * * [simplify]: Extracting # 0 : cost 0 0.290 * * [simplify]: Extracting # 1 : cost 0 0.290 * * [simplify]: Extracting # 2 : cost 0 0.290 * * [simplify]: Extracting # 3 : cost 0 0.291 * * [simplify]: Extracting # 4 : cost 0 0.291 * * [simplify]: Extracting # 5 : cost 0 0.291 * * [simplify]: Extracting # 6 : cost 0 0.291 * * [simplify]: iteration 0 : 60 enodes (cost 574 ) 0.307 * * [simplify]: Extracting # 0 : cost 0 0.308 * * [simplify]: Extracting # 1 : cost 0 0.308 * * [simplify]: Extracting # 2 : cost 0 0.308 * * [simplify]: Extracting # 3 : cost 0 0.308 * * [simplify]: Extracting # 4 : cost 0 0.308 * * [simplify]: iteration 1 : 191 enodes (cost 470 ) 0.393 * * [simplify]: Extracting # 0 : cost 0 0.394 * * [simplify]: Extracting # 1 : cost 0 0.395 * * [simplify]: Extracting # 2 : cost 0 0.395 * * [simplify]: Extracting # 3 : cost 0 0.396 * * [simplify]: Extracting # 4 : cost 0 0.397 * * [simplify]: iteration 2 : 684 enodes (cost 382 ) 1.190 * * [simplify]: Extracting # 0 : cost 0 1.193 * * [simplify]: Extracting # 1 : cost 0 1.196 * * [simplify]: Extracting # 2 : cost 0 1.198 * * [simplify]: Extracting # 3 : cost 0 1.200 * * [simplify]: Extracting # 4 : cost 0 1.203 * * [simplify]: iteration 3 : 2757 enodes (cost 326 ) 1.975 * * [simplify]: Extracting # 0 : cost 0 1.980 * * [simplify]: Extracting # 1 : cost 0 1.986 * * [simplify]: iteration done: 5000 enodes (cost 325 ) 1.986 * [simplify]: Simplified to: (expm1 (fma 3 (pow y 2) (pow x 2))) (log1p (fma 3 (pow y 2) (pow x 2))) (exp (fma 3 (pow y 2) (pow x 2))) (exp (fma 3 (pow y 2) (pow x 2))) (exp (fma 3 (pow y 2) (pow x 2))) (log (fma 3 (pow y 2) (pow x 2))) (exp (fma 3 (pow y 2) (pow x 2))) (* (cbrt (fma 3 (pow y 2) (pow x 2))) (cbrt (fma 3 (pow y 2) (pow x 2)))) (cbrt (fma 3 (pow y 2) (pow x 2))) (pow (fma 3 (pow y 2) (pow x 2)) 3) (sqrt (fma 3 (pow y 2) (pow x 2))) (sqrt (fma 3 (pow y 2) (pow x 2))) (+ (pow (fma x x (* 2 (* y y))) 3) (pow y 6)) (fma (fma x x (* 2 (* y y))) (fma x x (* y y)) (pow y 4)) (* (fma x x (* y y)) (fma 3 (pow y 2) (pow x 2))) (fma x x (* y y)) (* 2 (* y y)) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (exp (fma x x (* y y))) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (+ (pow x 6) (pow y 6)) (fma (* y y) (- (* y y) (* x x)) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 1.986 * * * [progress]: adding candidates to table 2.071 * * [progress]: iteration 2 / 4 2.071 * * * [progress]: picking best candidate 2.085 * * * * [pick]: Picked # 2.085 * * * [progress]: localizing error 2.090 * * * [progress]: generating rewritten candidates 2.090 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.091 * * * [progress]: generating series expansions 2.091 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.091 * [backup-simplify]: Simplify (fma (* y y) 3 (* x x)) into (fma (pow y 2) 3 (pow x 2)) 2.091 * [approximate]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in (y x) around 0 2.091 * [taylor]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in x 2.091 * [taylor]: Rewrote expression to (+ (* (pow y 2) 3) (pow x 2)) 2.091 * [taylor]: Taking taylor expansion of (* (pow y 2) 3) in x 2.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.091 * [taylor]: Taking taylor expansion of y in x 2.091 * [backup-simplify]: Simplify y into y 2.091 * [taylor]: Taking taylor expansion of 3 in x 2.091 * [backup-simplify]: Simplify 3 into 3 2.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.091 * [taylor]: Taking taylor expansion of x in x 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [taylor]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in y 2.091 * [taylor]: Rewrote expression to (+ (* (pow y 2) 3) (pow x 2)) 2.091 * [taylor]: Taking taylor expansion of (* (pow y 2) 3) in y 2.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.091 * [taylor]: Taking taylor expansion of y in y 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [taylor]: Taking taylor expansion of 3 in y 2.091 * [backup-simplify]: Simplify 3 into 3 2.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.091 * [taylor]: Taking taylor expansion of x in y 2.091 * [backup-simplify]: Simplify x into x 2.091 * [taylor]: Taking taylor expansion of (fma (pow y 2) 3 (pow x 2)) in y 2.092 * [taylor]: Rewrote expression to (+ (* (pow y 2) 3) (pow x 2)) 2.092 * [taylor]: Taking taylor expansion of (* (pow y 2) 3) in y 2.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.092 * [taylor]: Taking taylor expansion of y in y 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [taylor]: Taking taylor expansion of 3 in y 2.092 * [backup-simplify]: Simplify 3 into 3 2.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.092 * [taylor]: Taking taylor expansion of x in y 2.092 * [backup-simplify]: Simplify x into x 2.092 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.092 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [taylor]: Taking taylor expansion of 0 in x 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (* 1 1) into 1 2.093 * [backup-simplify]: Simplify (* 1 3) into 3 2.094 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.094 * [backup-simplify]: Simplify (+ 3 0) into 3 2.094 * [taylor]: Taking taylor expansion of 3 in x 2.094 * [backup-simplify]: Simplify 3 into 3 2.094 * [backup-simplify]: Simplify 3 into 3 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify (* 1 1) into 1 2.094 * [backup-simplify]: Simplify 1 into 1 2.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 3)) into 0 2.096 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.096 * [taylor]: Taking taylor expansion of 0 in x 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 2.098 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [taylor]: Taking taylor expansion of 0 in x 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 2.099 * [backup-simplify]: Simplify (fma (* (/ 1 y) (/ 1 y)) 3 (* (/ 1 x) (/ 1 x))) into (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) 2.099 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in (y x) around 0 2.099 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in x 2.099 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow y 2)) 3) (/ 1 (pow x 2))) 2.099 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) 3) in x 2.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.099 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.099 * [taylor]: Taking taylor expansion of y in x 2.099 * [backup-simplify]: Simplify y into y 2.099 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.099 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.099 * [taylor]: Taking taylor expansion of 3 in x 2.099 * [backup-simplify]: Simplify 3 into 3 2.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.099 * [taylor]: Taking taylor expansion of x in x 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [backup-simplify]: Simplify (* 1 1) into 1 2.100 * [backup-simplify]: Simplify (/ 1 1) into 1 2.100 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in y 2.100 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow y 2)) 3) (/ 1 (pow x 2))) 2.100 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) 3) in y 2.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.100 * [taylor]: Taking taylor expansion of y in y 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 1 into 1 2.100 * [backup-simplify]: Simplify (* 1 1) into 1 2.100 * [backup-simplify]: Simplify (/ 1 1) into 1 2.100 * [taylor]: Taking taylor expansion of 3 in y 2.100 * [backup-simplify]: Simplify 3 into 3 2.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.100 * [taylor]: Taking taylor expansion of x in y 2.100 * [backup-simplify]: Simplify x into x 2.100 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.101 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.101 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in y 2.101 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow y 2)) 3) (/ 1 (pow x 2))) 2.101 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) 3) in y 2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.101 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.101 * [taylor]: Taking taylor expansion of y in y 2.101 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.101 * [backup-simplify]: Simplify (* 1 1) into 1 2.101 * [backup-simplify]: Simplify (/ 1 1) into 1 2.101 * [taylor]: Taking taylor expansion of 3 in y 2.101 * [backup-simplify]: Simplify 3 into 3 2.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.101 * [taylor]: Taking taylor expansion of x in y 2.101 * [backup-simplify]: Simplify x into x 2.101 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.101 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.102 * [backup-simplify]: Simplify (* 1 3) into 3 2.102 * [backup-simplify]: Simplify (+ 3 0) into 3 2.102 * [taylor]: Taking taylor expansion of 3 in x 2.102 * [backup-simplify]: Simplify 3 into 3 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 3)) into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [taylor]: Taking taylor expansion of 0 in x 2.103 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 2.105 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.105 * [taylor]: Taking taylor expansion of x in x 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 1 into 1 2.105 * [backup-simplify]: Simplify (* 1 1) into 1 2.106 * [backup-simplify]: Simplify (/ 1 1) into 1 2.106 * [backup-simplify]: Simplify 1 into 1 2.106 * [backup-simplify]: Simplify 3 into 3 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 2.107 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [taylor]: Taking taylor expansion of 0 in x 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 2.111 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.111 * [backup-simplify]: Simplify (+ 0 0) into 0 2.112 * [taylor]: Taking taylor expansion of 0 in x 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 2.113 * [backup-simplify]: Simplify (fma (* (/ 1 (- y)) (/ 1 (- y))) 3 (* (/ 1 (- x)) (/ 1 (- x)))) into (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) 2.113 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in (y x) around 0 2.113 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in x 2.113 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow y 2)) 3) (/ 1 (pow x 2))) 2.113 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) 3) in x 2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.113 * [taylor]: Taking taylor expansion of y in x 2.113 * [backup-simplify]: Simplify y into y 2.113 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.113 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.113 * [taylor]: Taking taylor expansion of 3 in x 2.113 * [backup-simplify]: Simplify 3 into 3 2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.113 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (* 1 1) into 1 2.114 * [backup-simplify]: Simplify (/ 1 1) into 1 2.114 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in y 2.114 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow y 2)) 3) (/ 1 (pow x 2))) 2.114 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) 3) in y 2.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.114 * [taylor]: Taking taylor expansion of y in y 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (* 1 1) into 1 2.115 * [backup-simplify]: Simplify (/ 1 1) into 1 2.115 * [taylor]: Taking taylor expansion of 3 in y 2.115 * [backup-simplify]: Simplify 3 into 3 2.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.115 * [taylor]: Taking taylor expansion of x in y 2.115 * [backup-simplify]: Simplify x into x 2.115 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.115 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.115 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow y 2)) 3 (/ 1 (pow x 2))) in y 2.115 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow y 2)) 3) (/ 1 (pow x 2))) 2.115 * [taylor]: Taking taylor expansion of (* (/ 1 (pow y 2)) 3) in y 2.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.115 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.115 * [taylor]: Taking taylor expansion of y in y 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (* 1 1) into 1 2.116 * [backup-simplify]: Simplify (/ 1 1) into 1 2.116 * [taylor]: Taking taylor expansion of 3 in y 2.116 * [backup-simplify]: Simplify 3 into 3 2.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.116 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.116 * [taylor]: Taking taylor expansion of x in y 2.116 * [backup-simplify]: Simplify x into x 2.116 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.116 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.116 * [backup-simplify]: Simplify (* 1 3) into 3 2.116 * [backup-simplify]: Simplify (+ 3 0) into 3 2.116 * [taylor]: Taking taylor expansion of 3 in x 2.116 * [backup-simplify]: Simplify 3 into 3 2.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 3)) into 0 2.118 * [backup-simplify]: Simplify (+ 0 0) into 0 2.118 * [taylor]: Taking taylor expansion of 0 in x 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 3))) into 0 2.119 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.120 * [taylor]: Taking taylor expansion of x in x 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (* 1 1) into 1 2.120 * [backup-simplify]: Simplify (/ 1 1) into 1 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify 3 into 3 2.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 3)))) into 0 2.122 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.122 * [backup-simplify]: Simplify (+ 0 0) into 0 2.122 * [taylor]: Taking taylor expansion of 0 in x 2.122 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 3))))) into 0 2.125 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [taylor]: Taking taylor expansion of 0 in x 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 2.127 * * * [progress]: simplifying candidates 2.127 * [simplify]: Simplifying: (expm1 (fma (* y y) 3 (* x x))) (log1p (fma (* y y) 3 (* x x))) (* (* y y) 3) (log (fma (* y y) 3 (* x x))) (exp (fma (* y y) 3 (* x x))) (* (cbrt (fma (* y y) 3 (* x x))) (cbrt (fma (* y y) 3 (* x x)))) (cbrt (fma (* y y) 3 (* x x))) (* (* (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x))) (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 2.128 * * [simplify]: Extracting # 0 : cost 0 2.128 * * [simplify]: Extracting # 1 : cost 0 2.128 * * [simplify]: Extracting # 2 : cost 0 2.128 * * [simplify]: Extracting # 3 : cost 0 2.128 * * [simplify]: Extracting # 4 : cost 0 2.128 * * [simplify]: Extracting # 5 : cost 0 2.128 * * [simplify]: iteration 0 : 21 enodes (cost 140 ) 2.132 * * [simplify]: Extracting # 0 : cost 0 2.132 * * [simplify]: Extracting # 1 : cost 0 2.132 * * [simplify]: Extracting # 2 : cost 0 2.132 * * [simplify]: Extracting # 3 : cost 0 2.132 * * [simplify]: Extracting # 4 : cost 0 2.132 * * [simplify]: iteration 1 : 32 enodes (cost 137 ) 2.143 * * [simplify]: Extracting # 0 : cost 0 2.143 * * [simplify]: Extracting # 1 : cost 0 2.143 * * [simplify]: Extracting # 2 : cost 0 2.143 * * [simplify]: iteration 2 : 70 enodes (cost 121 ) 2.158 * * [simplify]: Extracting # 0 : cost 0 2.159 * * [simplify]: Extracting # 1 : cost 0 2.159 * * [simplify]: Extracting # 2 : cost 0 2.159 * * [simplify]: Extracting # 3 : cost 0 2.159 * * [simplify]: Extracting # 4 : cost 0 2.159 * * [simplify]: iteration 3 : 203 enodes (cost 121 ) 2.255 * * [simplify]: Extracting # 0 : cost 0 2.255 * * [simplify]: Extracting # 1 : cost 0 2.260 * * [simplify]: Extracting # 2 : cost 0 2.260 * * [simplify]: Extracting # 3 : cost 0 2.261 * * [simplify]: Extracting # 4 : cost 0 2.261 * * [simplify]: iteration 4 : 668 enodes (cost 121 ) 3.380 * * [simplify]: Extracting # 0 : cost 0 3.383 * * [simplify]: Extracting # 1 : cost 0 3.385 * * [simplify]: Extracting # 2 : cost 0 3.387 * * [simplify]: Extracting # 3 : cost 0 3.390 * * [simplify]: Extracting # 4 : cost 0 3.392 * * [simplify]: iteration 5 : 3194 enodes (cost 121 ) 4.591 * * [simplify]: Extracting # 0 : cost 0 4.595 * * [simplify]: Extracting # 1 : cost 0 4.599 * * [simplify]: iteration done: 5000 enodes (cost 121 ) 4.599 * [simplify]: Simplified to: (expm1 (fma (* y y) 3 (* x x))) (log1p (fma (* y y) 3 (* x x))) (* 3 (pow y 2)) (log (fma (* y y) 3 (* x x))) (exp (fma (* y y) 3 (* x x))) (* (cbrt (fma (* y y) 3 (* x x))) (cbrt (fma (* y y) 3 (* x x)))) (cbrt (fma (* y y) 3 (* x x))) (pow (fma (* y y) 3 (* x x)) 3) (sqrt (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) 4.600 * * * [progress]: adding candidates to table 4.628 * * [progress]: iteration 3 / 4 4.628 * * * [progress]: picking best candidate 4.640 * * * * [pick]: Picked # 4.640 * * * [progress]: localizing error 4.648 * * * [progress]: generating rewritten candidates 4.648 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.685 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.720 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.721 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 4.730 * * * [progress]: generating series expansions 4.730 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.731 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 4.731 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 4.731 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 4.731 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 4.731 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.731 * [taylor]: Taking taylor expansion of x in y 4.731 * [backup-simplify]: Simplify x into x 4.731 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 4.731 * [taylor]: Taking taylor expansion of 2 in y 4.731 * [backup-simplify]: Simplify 2 into 2 4.731 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.731 * [taylor]: Taking taylor expansion of y in y 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.731 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.731 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.731 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.731 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.731 * [backup-simplify]: Simplify (+ 0 0) into 0 4.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.732 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 4.732 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 4.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.732 * [taylor]: Taking taylor expansion of x in x 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 1 into 1 4.732 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.732 * [taylor]: Taking taylor expansion of 2 in x 4.732 * [backup-simplify]: Simplify 2 into 2 4.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.732 * [taylor]: Taking taylor expansion of y in x 4.732 * [backup-simplify]: Simplify y into y 4.732 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.732 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.732 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 4.732 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.732 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.733 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.733 * [backup-simplify]: Simplify (+ 0 0) into 0 4.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.733 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 4.733 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 4.733 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.733 * [taylor]: Taking taylor expansion of x in x 4.733 * [backup-simplify]: Simplify 0 into 0 4.733 * [backup-simplify]: Simplify 1 into 1 4.733 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.733 * [taylor]: Taking taylor expansion of 2 in x 4.733 * [backup-simplify]: Simplify 2 into 2 4.733 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.733 * [taylor]: Taking taylor expansion of y in x 4.733 * [backup-simplify]: Simplify y into y 4.733 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.733 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.733 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 4.733 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.733 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.734 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.734 * [backup-simplify]: Simplify (+ 0 0) into 0 4.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.734 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 4.734 * [taylor]: Taking taylor expansion of (sqrt 2) in y 4.734 * [taylor]: Taking taylor expansion of 2 in y 4.734 * [backup-simplify]: Simplify 2 into 2 4.735 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.735 * [taylor]: Taking taylor expansion of y in y 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 1 into 1 4.735 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [taylor]: Taking taylor expansion of 0 in y 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 4.737 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.737 * [backup-simplify]: Simplify (* 1 1) into 1 4.738 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.738 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.738 * [backup-simplify]: Simplify (+ 1 0) into 1 4.739 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 4.739 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 4.739 * [taylor]: Taking taylor expansion of 1/2 in y 4.739 * [backup-simplify]: Simplify 1/2 into 1/2 4.739 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 4.739 * [taylor]: Taking taylor expansion of (sqrt 2) in y 4.739 * [taylor]: Taking taylor expansion of 2 in y 4.739 * [backup-simplify]: Simplify 2 into 2 4.739 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.740 * [taylor]: Taking taylor expansion of y in y 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 1 into 1 4.740 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 4.741 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 4.742 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 4.742 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 4.743 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 4.744 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 4.745 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.746 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.746 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.747 * [backup-simplify]: Simplify (+ 0 0) into 0 4.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 4.747 * [taylor]: Taking taylor expansion of 0 in y 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 4.751 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.752 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 4.752 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 4.753 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 4.753 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 4.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 4.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 4.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.753 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.753 * [taylor]: Taking taylor expansion of x in y 4.753 * [backup-simplify]: Simplify x into x 4.753 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.753 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.753 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.753 * [taylor]: Taking taylor expansion of 2 in y 4.753 * [backup-simplify]: Simplify 2 into 2 4.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.753 * [taylor]: Taking taylor expansion of y in y 4.753 * [backup-simplify]: Simplify 0 into 0 4.753 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (* 1 1) into 1 4.754 * [backup-simplify]: Simplify (/ 1 1) into 1 4.754 * [backup-simplify]: Simplify (* 2 1) into 2 4.754 * [backup-simplify]: Simplify (+ 0 2) into 2 4.754 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.756 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.756 * [backup-simplify]: Simplify (+ 0 0) into 0 4.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.756 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.756 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.756 * [taylor]: Taking taylor expansion of x in x 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 1 into 1 4.757 * [backup-simplify]: Simplify (* 1 1) into 1 4.757 * [backup-simplify]: Simplify (/ 1 1) into 1 4.757 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.757 * [taylor]: Taking taylor expansion of 2 in x 4.757 * [backup-simplify]: Simplify 2 into 2 4.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.757 * [taylor]: Taking taylor expansion of y in x 4.757 * [backup-simplify]: Simplify y into y 4.757 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.757 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.757 * [backup-simplify]: Simplify (+ 1 0) into 1 4.758 * [backup-simplify]: Simplify (sqrt 1) into 1 4.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.759 * [backup-simplify]: Simplify (+ 0 0) into 0 4.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.759 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.759 * [taylor]: Taking taylor expansion of x in x 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify 1 into 1 4.759 * [backup-simplify]: Simplify (* 1 1) into 1 4.760 * [backup-simplify]: Simplify (/ 1 1) into 1 4.760 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.760 * [taylor]: Taking taylor expansion of 2 in x 4.760 * [backup-simplify]: Simplify 2 into 2 4.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.760 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.760 * [taylor]: Taking taylor expansion of y in x 4.760 * [backup-simplify]: Simplify y into y 4.760 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.760 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.760 * [backup-simplify]: Simplify (+ 1 0) into 1 4.760 * [backup-simplify]: Simplify (sqrt 1) into 1 4.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.761 * [backup-simplify]: Simplify (+ 0 0) into 0 4.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.762 * [taylor]: Taking taylor expansion of 1 in y 4.762 * [backup-simplify]: Simplify 1 into 1 4.762 * [taylor]: Taking taylor expansion of 0 in y 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify 1 into 1 4.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.763 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.763 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 4.764 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.764 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.764 * [taylor]: Taking taylor expansion of y in y 4.764 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify 1 into 1 4.764 * [backup-simplify]: Simplify (* 1 1) into 1 4.764 * [backup-simplify]: Simplify (/ 1 1) into 1 4.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.766 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.767 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.767 * [backup-simplify]: Simplify (+ 0 0) into 0 4.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.768 * [taylor]: Taking taylor expansion of 0 in y 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.769 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 4.769 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 4.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 4.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 4.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.769 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.769 * [taylor]: Taking taylor expansion of x in y 4.769 * [backup-simplify]: Simplify x into x 4.769 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.770 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.770 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.770 * [taylor]: Taking taylor expansion of 2 in y 4.770 * [backup-simplify]: Simplify 2 into 2 4.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.770 * [taylor]: Taking taylor expansion of y in y 4.770 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify (* 1 1) into 1 4.770 * [backup-simplify]: Simplify (/ 1 1) into 1 4.770 * [backup-simplify]: Simplify (* 2 1) into 2 4.771 * [backup-simplify]: Simplify (+ 0 2) into 2 4.771 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.772 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.772 * [backup-simplify]: Simplify (+ 0 0) into 0 4.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.773 * [taylor]: Taking taylor expansion of x in x 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [backup-simplify]: Simplify (* 1 1) into 1 4.773 * [backup-simplify]: Simplify (/ 1 1) into 1 4.773 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.773 * [taylor]: Taking taylor expansion of 2 in x 4.773 * [backup-simplify]: Simplify 2 into 2 4.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.773 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.773 * [taylor]: Taking taylor expansion of y in x 4.773 * [backup-simplify]: Simplify y into y 4.773 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.773 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.774 * [backup-simplify]: Simplify (+ 1 0) into 1 4.774 * [backup-simplify]: Simplify (sqrt 1) into 1 4.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.775 * [backup-simplify]: Simplify (+ 0 0) into 0 4.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.775 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.775 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.775 * [taylor]: Taking taylor expansion of x in x 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 1 into 1 4.776 * [backup-simplify]: Simplify (* 1 1) into 1 4.776 * [backup-simplify]: Simplify (/ 1 1) into 1 4.776 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.776 * [taylor]: Taking taylor expansion of 2 in x 4.776 * [backup-simplify]: Simplify 2 into 2 4.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.776 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.776 * [taylor]: Taking taylor expansion of y in x 4.776 * [backup-simplify]: Simplify y into y 4.776 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.776 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.777 * [backup-simplify]: Simplify (+ 1 0) into 1 4.777 * [backup-simplify]: Simplify (sqrt 1) into 1 4.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.778 * [backup-simplify]: Simplify (+ 0 0) into 0 4.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.778 * [taylor]: Taking taylor expansion of 1 in y 4.778 * [backup-simplify]: Simplify 1 into 1 4.778 * [taylor]: Taking taylor expansion of 0 in y 4.778 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify 1 into 1 4.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.780 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.780 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 4.781 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.781 * [taylor]: Taking taylor expansion of y in y 4.781 * [backup-simplify]: Simplify 0 into 0 4.781 * [backup-simplify]: Simplify 1 into 1 4.781 * [backup-simplify]: Simplify (* 1 1) into 1 4.781 * [backup-simplify]: Simplify (/ 1 1) into 1 4.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify 0 into 0 4.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.783 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.784 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.784 * [backup-simplify]: Simplify (+ 0 0) into 0 4.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.784 * [taylor]: Taking taylor expansion of 0 in y 4.784 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.785 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.786 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 4.786 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 4.786 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 4.786 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 4.786 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.786 * [taylor]: Taking taylor expansion of x in y 4.786 * [backup-simplify]: Simplify x into x 4.786 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 4.786 * [taylor]: Taking taylor expansion of 2 in y 4.786 * [backup-simplify]: Simplify 2 into 2 4.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.786 * [taylor]: Taking taylor expansion of y in y 4.786 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify 1 into 1 4.786 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.786 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.786 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.786 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.786 * [backup-simplify]: Simplify (+ 0 0) into 0 4.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.786 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 4.786 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 4.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.787 * [taylor]: Taking taylor expansion of x in x 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 1 into 1 4.787 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.787 * [taylor]: Taking taylor expansion of 2 in x 4.787 * [backup-simplify]: Simplify 2 into 2 4.787 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.787 * [taylor]: Taking taylor expansion of y in x 4.787 * [backup-simplify]: Simplify y into y 4.787 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.787 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.787 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 4.787 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.787 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.787 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.788 * [backup-simplify]: Simplify (+ 0 0) into 0 4.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.788 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 4.788 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 4.788 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.788 * [taylor]: Taking taylor expansion of x in x 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 1 into 1 4.788 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.788 * [taylor]: Taking taylor expansion of 2 in x 4.788 * [backup-simplify]: Simplify 2 into 2 4.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.788 * [taylor]: Taking taylor expansion of y in x 4.788 * [backup-simplify]: Simplify y into y 4.788 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.788 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.788 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 4.788 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.788 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.789 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.789 * [backup-simplify]: Simplify (+ 0 0) into 0 4.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.789 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 4.789 * [taylor]: Taking taylor expansion of (sqrt 2) in y 4.789 * [taylor]: Taking taylor expansion of 2 in y 4.789 * [backup-simplify]: Simplify 2 into 2 4.789 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.790 * [taylor]: Taking taylor expansion of y in y 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 1 into 1 4.790 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [taylor]: Taking taylor expansion of 0 in y 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 4.792 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.793 * [backup-simplify]: Simplify (* 1 1) into 1 4.793 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.793 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.794 * [backup-simplify]: Simplify (+ 1 0) into 1 4.794 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 4.794 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 4.794 * [taylor]: Taking taylor expansion of 1/2 in y 4.794 * [backup-simplify]: Simplify 1/2 into 1/2 4.794 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 4.794 * [taylor]: Taking taylor expansion of (sqrt 2) in y 4.795 * [taylor]: Taking taylor expansion of 2 in y 4.795 * [backup-simplify]: Simplify 2 into 2 4.795 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.795 * [taylor]: Taking taylor expansion of y in y 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 1 into 1 4.796 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 4.797 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 4.797 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 4.798 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 4.799 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 4.799 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 4.800 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 4.800 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.801 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.802 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.803 * [backup-simplify]: Simplify (+ 0 0) into 0 4.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 4.803 * [taylor]: Taking taylor expansion of 0 in y 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 4.805 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.805 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 4.806 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 4.806 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 4.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 4.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 4.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.806 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.806 * [taylor]: Taking taylor expansion of x in y 4.806 * [backup-simplify]: Simplify x into x 4.806 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.806 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.806 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.806 * [taylor]: Taking taylor expansion of 2 in y 4.806 * [backup-simplify]: Simplify 2 into 2 4.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.806 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.806 * [taylor]: Taking taylor expansion of y in y 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify 1 into 1 4.807 * [backup-simplify]: Simplify (* 1 1) into 1 4.807 * [backup-simplify]: Simplify (/ 1 1) into 1 4.807 * [backup-simplify]: Simplify (* 2 1) into 2 4.807 * [backup-simplify]: Simplify (+ 0 2) into 2 4.807 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.809 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.809 * [backup-simplify]: Simplify (+ 0 0) into 0 4.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.809 * [taylor]: Taking taylor expansion of x in x 4.809 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify 1 into 1 4.810 * [backup-simplify]: Simplify (* 1 1) into 1 4.810 * [backup-simplify]: Simplify (/ 1 1) into 1 4.810 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.810 * [taylor]: Taking taylor expansion of 2 in x 4.810 * [backup-simplify]: Simplify 2 into 2 4.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.810 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.810 * [taylor]: Taking taylor expansion of y in x 4.810 * [backup-simplify]: Simplify y into y 4.810 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.810 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.810 * [backup-simplify]: Simplify (+ 1 0) into 1 4.811 * [backup-simplify]: Simplify (sqrt 1) into 1 4.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.811 * [backup-simplify]: Simplify (+ 0 0) into 0 4.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.812 * [taylor]: Taking taylor expansion of x in x 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 1 into 1 4.812 * [backup-simplify]: Simplify (* 1 1) into 1 4.812 * [backup-simplify]: Simplify (/ 1 1) into 1 4.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.813 * [taylor]: Taking taylor expansion of 2 in x 4.813 * [backup-simplify]: Simplify 2 into 2 4.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.813 * [taylor]: Taking taylor expansion of y in x 4.813 * [backup-simplify]: Simplify y into y 4.813 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.813 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.813 * [backup-simplify]: Simplify (+ 1 0) into 1 4.813 * [backup-simplify]: Simplify (sqrt 1) into 1 4.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.814 * [backup-simplify]: Simplify (+ 0 0) into 0 4.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.815 * [taylor]: Taking taylor expansion of 1 in y 4.815 * [backup-simplify]: Simplify 1 into 1 4.815 * [taylor]: Taking taylor expansion of 0 in y 4.815 * [backup-simplify]: Simplify 0 into 0 4.815 * [backup-simplify]: Simplify 1 into 1 4.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.816 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.816 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 4.817 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.817 * [taylor]: Taking taylor expansion of y in y 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 1 into 1 4.817 * [backup-simplify]: Simplify (* 1 1) into 1 4.817 * [backup-simplify]: Simplify (/ 1 1) into 1 4.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.819 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.820 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.820 * [backup-simplify]: Simplify (+ 0 0) into 0 4.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.821 * [taylor]: Taking taylor expansion of 0 in y 4.821 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 4.822 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 4.822 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 4.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 4.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 4.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.822 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.822 * [taylor]: Taking taylor expansion of x in y 4.822 * [backup-simplify]: Simplify x into x 4.822 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.822 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.823 * [taylor]: Taking taylor expansion of 2 in y 4.823 * [backup-simplify]: Simplify 2 into 2 4.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.823 * [taylor]: Taking taylor expansion of y in y 4.823 * [backup-simplify]: Simplify 0 into 0 4.823 * [backup-simplify]: Simplify 1 into 1 4.823 * [backup-simplify]: Simplify (* 1 1) into 1 4.823 * [backup-simplify]: Simplify (/ 1 1) into 1 4.823 * [backup-simplify]: Simplify (* 2 1) into 2 4.824 * [backup-simplify]: Simplify (+ 0 2) into 2 4.824 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.825 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.825 * [backup-simplify]: Simplify (+ 0 0) into 0 4.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.826 * [taylor]: Taking taylor expansion of x in x 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 1 into 1 4.826 * [backup-simplify]: Simplify (* 1 1) into 1 4.826 * [backup-simplify]: Simplify (/ 1 1) into 1 4.826 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.826 * [taylor]: Taking taylor expansion of 2 in x 4.826 * [backup-simplify]: Simplify 2 into 2 4.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.826 * [taylor]: Taking taylor expansion of y in x 4.826 * [backup-simplify]: Simplify y into y 4.826 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.827 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.827 * [backup-simplify]: Simplify (+ 1 0) into 1 4.827 * [backup-simplify]: Simplify (sqrt 1) into 1 4.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.828 * [backup-simplify]: Simplify (+ 0 0) into 0 4.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.829 * [taylor]: Taking taylor expansion of x in x 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.829 * [backup-simplify]: Simplify (* 1 1) into 1 4.829 * [backup-simplify]: Simplify (/ 1 1) into 1 4.829 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.829 * [taylor]: Taking taylor expansion of 2 in x 4.829 * [backup-simplify]: Simplify 2 into 2 4.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.829 * [taylor]: Taking taylor expansion of y in x 4.829 * [backup-simplify]: Simplify y into y 4.829 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.829 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.830 * [backup-simplify]: Simplify (+ 1 0) into 1 4.830 * [backup-simplify]: Simplify (sqrt 1) into 1 4.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.831 * [backup-simplify]: Simplify (+ 0 0) into 0 4.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.831 * [taylor]: Taking taylor expansion of 1 in y 4.831 * [backup-simplify]: Simplify 1 into 1 4.831 * [taylor]: Taking taylor expansion of 0 in y 4.831 * [backup-simplify]: Simplify 0 into 0 4.831 * [backup-simplify]: Simplify 1 into 1 4.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.832 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.833 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 4.833 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.833 * [taylor]: Taking taylor expansion of y in y 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 1 into 1 4.834 * [backup-simplify]: Simplify (* 1 1) into 1 4.834 * [backup-simplify]: Simplify (/ 1 1) into 1 4.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.836 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.836 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.837 * [backup-simplify]: Simplify (+ 0 0) into 0 4.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.837 * [taylor]: Taking taylor expansion of 0 in y 4.837 * [backup-simplify]: Simplify 0 into 0 4.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify 0 into 0 4.838 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 4.838 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.838 * [backup-simplify]: Simplify (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) into (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) 4.839 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (x y) around 0 4.839 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 4.839 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 4.839 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 4.839 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 4.839 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 4.839 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.839 * [taylor]: Taking taylor expansion of x in y 4.839 * [backup-simplify]: Simplify x into x 4.839 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 4.839 * [taylor]: Taking taylor expansion of 2 in y 4.839 * [backup-simplify]: Simplify 2 into 2 4.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.839 * [taylor]: Taking taylor expansion of y in y 4.839 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify 1 into 1 4.839 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.839 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.839 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.839 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.839 * [backup-simplify]: Simplify (+ 0 0) into 0 4.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.840 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 4.840 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 4.840 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.840 * [taylor]: Taking taylor expansion of x in y 4.840 * [backup-simplify]: Simplify x into x 4.840 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 4.840 * [taylor]: Taking taylor expansion of 2 in y 4.840 * [backup-simplify]: Simplify 2 into 2 4.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.840 * [taylor]: Taking taylor expansion of y in y 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 1 into 1 4.840 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.840 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 4.840 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 4.840 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.840 * [backup-simplify]: Simplify (+ 0 0) into 0 4.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 4.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.840 * [taylor]: Taking taylor expansion of y in y 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 1 into 1 4.840 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 4.840 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 4.840 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 4.841 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 4.841 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 4.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.841 * [taylor]: Taking taylor expansion of x in x 4.841 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify 1 into 1 4.841 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.841 * [taylor]: Taking taylor expansion of 2 in x 4.841 * [backup-simplify]: Simplify 2 into 2 4.841 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.841 * [taylor]: Taking taylor expansion of y in x 4.841 * [backup-simplify]: Simplify y into y 4.841 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.841 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.841 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 4.841 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.841 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.841 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.842 * [backup-simplify]: Simplify (+ 0 0) into 0 4.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.842 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 4.842 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 4.842 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.842 * [taylor]: Taking taylor expansion of x in x 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 1 into 1 4.842 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.842 * [taylor]: Taking taylor expansion of 2 in x 4.842 * [backup-simplify]: Simplify 2 into 2 4.842 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.842 * [taylor]: Taking taylor expansion of y in x 4.842 * [backup-simplify]: Simplify y into y 4.842 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.842 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.842 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 4.842 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.842 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.843 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.843 * [backup-simplify]: Simplify (+ 0 0) into 0 4.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.843 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.843 * [taylor]: Taking taylor expansion of y in x 4.843 * [backup-simplify]: Simplify y into y 4.843 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 4.843 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 4.843 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 4.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 4.843 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 4.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.843 * [taylor]: Taking taylor expansion of x in x 4.843 * [backup-simplify]: Simplify 0 into 0 4.843 * [backup-simplify]: Simplify 1 into 1 4.843 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.843 * [taylor]: Taking taylor expansion of 2 in x 4.843 * [backup-simplify]: Simplify 2 into 2 4.843 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.843 * [taylor]: Taking taylor expansion of y in x 4.843 * [backup-simplify]: Simplify y into y 4.843 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.843 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.844 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 4.844 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.844 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.844 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.844 * [backup-simplify]: Simplify (+ 0 0) into 0 4.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.844 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 4.844 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 4.844 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.844 * [taylor]: Taking taylor expansion of x in x 4.844 * [backup-simplify]: Simplify 0 into 0 4.844 * [backup-simplify]: Simplify 1 into 1 4.845 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 4.845 * [taylor]: Taking taylor expansion of 2 in x 4.845 * [backup-simplify]: Simplify 2 into 2 4.845 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.845 * [taylor]: Taking taylor expansion of y in x 4.845 * [backup-simplify]: Simplify y into y 4.845 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.845 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 4.845 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 4.845 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 4.845 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.845 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 4.845 * [backup-simplify]: Simplify (+ 0 0) into 0 4.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 4.846 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.846 * [taylor]: Taking taylor expansion of y in x 4.846 * [backup-simplify]: Simplify y into y 4.846 * [backup-simplify]: Simplify (* (* (sqrt 2) y) (* (sqrt 2) y)) into (* (pow (sqrt 2) 2) (pow y 2)) 4.846 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.847 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) (pow y 2)) (pow y 2)) into (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) 4.847 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2))) in y 4.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.847 * [taylor]: Taking taylor expansion of y in y 4.847 * [backup-simplify]: Simplify 0 into 0 4.847 * [backup-simplify]: Simplify 1 into 1 4.847 * [taylor]: Taking taylor expansion of (* (pow (sqrt 2) 2) (pow y 2)) in y 4.847 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in y 4.847 * [taylor]: Taking taylor expansion of (sqrt 2) in y 4.847 * [taylor]: Taking taylor expansion of 2 in y 4.847 * [backup-simplify]: Simplify 2 into 2 4.847 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.848 * [taylor]: Taking taylor expansion of y in y 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.851 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) 0) (* 0 (* (sqrt 2) y))) into 0 4.851 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.851 * [backup-simplify]: Simplify (+ 0 0) into 0 4.851 * [taylor]: Taking taylor expansion of 0 in y 4.851 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify (* 1 1) into 1 4.852 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.853 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.853 * [backup-simplify]: Simplify (+ 1 0) into 1 4.853 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 4.854 * [backup-simplify]: Simplify (* 1 1) into 1 4.854 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.854 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.855 * [backup-simplify]: Simplify (+ 1 0) into 1 4.855 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 4.856 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) (/ 1/2 (* (sqrt 2) y))) (+ (* 0 0) (* (/ 1/2 (* (sqrt 2) y)) (* (sqrt 2) y)))) into 1 4.857 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.857 * [backup-simplify]: Simplify (+ 1 0) into 1 4.857 * [taylor]: Taking taylor expansion of 1 in y 4.857 * [backup-simplify]: Simplify 1 into 1 4.857 * [backup-simplify]: Simplify 1 into 1 4.857 * [backup-simplify]: Simplify 0 into 0 4.857 * [backup-simplify]: Simplify (* 1 1) into 1 4.858 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 4.858 * [backup-simplify]: Simplify (* 1 1) into 1 4.859 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) 1) into (pow (sqrt 2) 2) 4.860 * [backup-simplify]: Simplify (+ 1 (pow (sqrt 2) 2)) into (+ (pow (sqrt 2) 2) 1) 4.861 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 4.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.862 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.863 * [backup-simplify]: Simplify (+ 0 0) into 0 4.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 4.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.864 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.865 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.865 * [backup-simplify]: Simplify (+ 0 0) into 0 4.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 4.867 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) 0) (+ (* 0 (/ 1/2 (* (sqrt 2) y))) (+ (* (/ 1/2 (* (sqrt 2) y)) 0) (* 0 (* (sqrt 2) y))))) into 0 4.867 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.867 * [backup-simplify]: Simplify (+ 0 0) into 0 4.867 * [taylor]: Taking taylor expansion of 0 in y 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.869 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 4.869 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 1)) into 0 4.869 * [backup-simplify]: Simplify (+ 0 0) into 0 4.869 * [backup-simplify]: Simplify 0 into 0 4.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.871 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 4.872 * [backup-simplify]: Simplify (+ 0 0) into 0 4.873 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (* (sqrt 2) y)) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) y))) into (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3))) 4.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.874 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 4.875 * [backup-simplify]: Simplify (+ 0 0) into 0 4.876 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (* (sqrt 2) y)) 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt 2) y))) into (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3))) 4.879 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3)))) (+ (* 0 0) (+ (* (/ 1/2 (* (sqrt 2) y)) (/ 1/2 (* (sqrt 2) y))) (+ (* 0 0) (* (/ -1/8 (* (pow (sqrt 2) 3) (pow y 3))) (* (sqrt 2) y)))))) into 0 4.880 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.880 * [backup-simplify]: Simplify (+ 0 0) into 0 4.880 * [taylor]: Taking taylor expansion of 0 in y 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify (+ (* (+ (pow (sqrt 2) 2) 1) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) 4.882 * [backup-simplify]: Simplify (fma (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (* (/ 1 y) (/ 1 y))) into (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) 4.882 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 4.882 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 4.882 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 4.882 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 4.882 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 4.882 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 4.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.882 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.882 * [taylor]: Taking taylor expansion of x in y 4.882 * [backup-simplify]: Simplify x into x 4.882 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.882 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.882 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.882 * [taylor]: Taking taylor expansion of 2 in y 4.882 * [backup-simplify]: Simplify 2 into 2 4.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.883 * [taylor]: Taking taylor expansion of y in y 4.883 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify 1 into 1 4.883 * [backup-simplify]: Simplify (* 1 1) into 1 4.883 * [backup-simplify]: Simplify (/ 1 1) into 1 4.883 * [backup-simplify]: Simplify (* 2 1) into 2 4.884 * [backup-simplify]: Simplify (+ 0 2) into 2 4.884 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.885 * [backup-simplify]: Simplify (+ 0 0) into 0 4.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 4.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 4.886 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.886 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.886 * [taylor]: Taking taylor expansion of x in y 4.886 * [backup-simplify]: Simplify x into x 4.886 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.886 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.886 * [taylor]: Taking taylor expansion of 2 in y 4.886 * [backup-simplify]: Simplify 2 into 2 4.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.886 * [taylor]: Taking taylor expansion of y in y 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.886 * [backup-simplify]: Simplify (* 1 1) into 1 4.886 * [backup-simplify]: Simplify (/ 1 1) into 1 4.887 * [backup-simplify]: Simplify (* 2 1) into 2 4.887 * [backup-simplify]: Simplify (+ 0 2) into 2 4.887 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.888 * [backup-simplify]: Simplify (+ 0 0) into 0 4.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.889 * [taylor]: Taking taylor expansion of y in y 4.889 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify 1 into 1 4.889 * [backup-simplify]: Simplify (* 1 1) into 1 4.889 * [backup-simplify]: Simplify (/ 1 1) into 1 4.889 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 4.890 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 4.890 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 4.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.890 * [taylor]: Taking taylor expansion of x in x 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 1 into 1 4.890 * [backup-simplify]: Simplify (* 1 1) into 1 4.890 * [backup-simplify]: Simplify (/ 1 1) into 1 4.890 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.890 * [taylor]: Taking taylor expansion of 2 in x 4.890 * [backup-simplify]: Simplify 2 into 2 4.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.890 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.890 * [taylor]: Taking taylor expansion of y in x 4.890 * [backup-simplify]: Simplify y into y 4.890 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.890 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.891 * [backup-simplify]: Simplify (+ 1 0) into 1 4.891 * [backup-simplify]: Simplify (sqrt 1) into 1 4.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.892 * [backup-simplify]: Simplify (+ 0 0) into 0 4.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.893 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.893 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.893 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.893 * [taylor]: Taking taylor expansion of x in x 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.893 * [backup-simplify]: Simplify (* 1 1) into 1 4.893 * [backup-simplify]: Simplify (/ 1 1) into 1 4.893 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.893 * [taylor]: Taking taylor expansion of 2 in x 4.893 * [backup-simplify]: Simplify 2 into 2 4.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.893 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.893 * [taylor]: Taking taylor expansion of y in x 4.893 * [backup-simplify]: Simplify y into y 4.893 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.894 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.894 * [backup-simplify]: Simplify (+ 1 0) into 1 4.894 * [backup-simplify]: Simplify (sqrt 1) into 1 4.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.895 * [backup-simplify]: Simplify (+ 0 0) into 0 4.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.895 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.895 * [taylor]: Taking taylor expansion of y in x 4.895 * [backup-simplify]: Simplify y into y 4.895 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.896 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.896 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 4.896 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 4.896 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 4.896 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.896 * [taylor]: Taking taylor expansion of x in x 4.896 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify 1 into 1 4.896 * [backup-simplify]: Simplify (* 1 1) into 1 4.896 * [backup-simplify]: Simplify (/ 1 1) into 1 4.896 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.896 * [taylor]: Taking taylor expansion of 2 in x 4.896 * [backup-simplify]: Simplify 2 into 2 4.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.896 * [taylor]: Taking taylor expansion of y in x 4.896 * [backup-simplify]: Simplify y into y 4.896 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.897 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.897 * [backup-simplify]: Simplify (+ 1 0) into 1 4.897 * [backup-simplify]: Simplify (sqrt 1) into 1 4.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.898 * [backup-simplify]: Simplify (+ 0 0) into 0 4.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.899 * [taylor]: Taking taylor expansion of x in x 4.899 * [backup-simplify]: Simplify 0 into 0 4.899 * [backup-simplify]: Simplify 1 into 1 4.899 * [backup-simplify]: Simplify (* 1 1) into 1 4.899 * [backup-simplify]: Simplify (/ 1 1) into 1 4.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.899 * [taylor]: Taking taylor expansion of 2 in x 4.899 * [backup-simplify]: Simplify 2 into 2 4.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.899 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.899 * [taylor]: Taking taylor expansion of y in x 4.899 * [backup-simplify]: Simplify y into y 4.899 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.899 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.900 * [backup-simplify]: Simplify (+ 1 0) into 1 4.900 * [backup-simplify]: Simplify (sqrt 1) into 1 4.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.901 * [backup-simplify]: Simplify (+ 0 0) into 0 4.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.901 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.901 * [taylor]: Taking taylor expansion of y in x 4.901 * [backup-simplify]: Simplify y into y 4.901 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.901 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.902 * [backup-simplify]: Simplify (* 1 1) into 1 4.902 * [backup-simplify]: Simplify (+ 1 0) into 1 4.902 * [taylor]: Taking taylor expansion of 1 in y 4.902 * [backup-simplify]: Simplify 1 into 1 4.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.902 * [backup-simplify]: Simplify (+ 0 0) into 0 4.903 * [taylor]: Taking taylor expansion of 0 in y 4.903 * [backup-simplify]: Simplify 0 into 0 4.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.904 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.904 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 4.904 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.906 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.906 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 4.906 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.907 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 4.907 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 4.907 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.907 * [taylor]: Taking taylor expansion of 3 in y 4.907 * [backup-simplify]: Simplify 3 into 3 4.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.907 * [taylor]: Taking taylor expansion of y in y 4.907 * [backup-simplify]: Simplify 0 into 0 4.907 * [backup-simplify]: Simplify 1 into 1 4.907 * [backup-simplify]: Simplify (* 1 1) into 1 4.908 * [backup-simplify]: Simplify (/ 1 1) into 1 4.908 * [backup-simplify]: Simplify (* 3 1) into 3 4.908 * [backup-simplify]: Simplify 3 into 3 4.908 * [backup-simplify]: Simplify 1 into 1 4.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.909 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.910 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.910 * [backup-simplify]: Simplify (+ 0 0) into 0 4.910 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.911 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.912 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.912 * [backup-simplify]: Simplify (+ 0 0) into 0 4.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 4.913 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.914 * [backup-simplify]: Simplify (+ 0 0) into 0 4.914 * [taylor]: Taking taylor expansion of 0 in y 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.915 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.917 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.917 * [backup-simplify]: Simplify (+ 0 0) into 0 4.918 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 4.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.919 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.920 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.920 * [backup-simplify]: Simplify (+ 0 0) into 0 4.921 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 4.922 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y 4))) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* (/ -1/2 (pow y 4)) 1))))) into 0 4.922 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.923 * [backup-simplify]: Simplify (+ 0 0) into 0 4.923 * [taylor]: Taking taylor expansion of 0 in y 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.924 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 4.925 * [backup-simplify]: Simplify (fma (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) 4.925 * [approximate]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (x y) around 0 4.925 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 4.925 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 4.926 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 4.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 4.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 4.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.926 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.926 * [taylor]: Taking taylor expansion of x in y 4.926 * [backup-simplify]: Simplify x into x 4.926 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.926 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.926 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.926 * [taylor]: Taking taylor expansion of 2 in y 4.926 * [backup-simplify]: Simplify 2 into 2 4.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.926 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.926 * [taylor]: Taking taylor expansion of y in y 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 1 into 1 4.926 * [backup-simplify]: Simplify (* 1 1) into 1 4.926 * [backup-simplify]: Simplify (/ 1 1) into 1 4.927 * [backup-simplify]: Simplify (* 2 1) into 2 4.927 * [backup-simplify]: Simplify (+ 0 2) into 2 4.928 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.929 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.929 * [backup-simplify]: Simplify (+ 0 0) into 0 4.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 4.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 4.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.930 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.930 * [taylor]: Taking taylor expansion of x in y 4.930 * [backup-simplify]: Simplify x into x 4.930 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.930 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.930 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.930 * [taylor]: Taking taylor expansion of 2 in y 4.930 * [backup-simplify]: Simplify 2 into 2 4.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.930 * [taylor]: Taking taylor expansion of y in y 4.930 * [backup-simplify]: Simplify 0 into 0 4.930 * [backup-simplify]: Simplify 1 into 1 4.930 * [backup-simplify]: Simplify (* 1 1) into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.931 * [backup-simplify]: Simplify (* 2 1) into 2 4.931 * [backup-simplify]: Simplify (+ 0 2) into 2 4.931 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 4.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.932 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.933 * [backup-simplify]: Simplify (+ 0 0) into 0 4.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 4.933 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.933 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.933 * [taylor]: Taking taylor expansion of y in y 4.933 * [backup-simplify]: Simplify 0 into 0 4.933 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (* 1 1) into 1 4.933 * [backup-simplify]: Simplify (/ 1 1) into 1 4.933 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 4.934 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 4.934 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 4.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.934 * [taylor]: Taking taylor expansion of x in x 4.934 * [backup-simplify]: Simplify 0 into 0 4.934 * [backup-simplify]: Simplify 1 into 1 4.934 * [backup-simplify]: Simplify (* 1 1) into 1 4.934 * [backup-simplify]: Simplify (/ 1 1) into 1 4.934 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.934 * [taylor]: Taking taylor expansion of 2 in x 4.934 * [backup-simplify]: Simplify 2 into 2 4.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.934 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.934 * [taylor]: Taking taylor expansion of y in x 4.934 * [backup-simplify]: Simplify y into y 4.934 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.934 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.935 * [backup-simplify]: Simplify (+ 1 0) into 1 4.935 * [backup-simplify]: Simplify (sqrt 1) into 1 4.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.936 * [backup-simplify]: Simplify (+ 0 0) into 0 4.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.936 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.936 * [taylor]: Taking taylor expansion of x in x 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.937 * [backup-simplify]: Simplify (* 1 1) into 1 4.937 * [backup-simplify]: Simplify (/ 1 1) into 1 4.937 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.937 * [taylor]: Taking taylor expansion of 2 in x 4.937 * [backup-simplify]: Simplify 2 into 2 4.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.937 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.937 * [taylor]: Taking taylor expansion of y in x 4.937 * [backup-simplify]: Simplify y into y 4.937 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.937 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.937 * [backup-simplify]: Simplify (+ 1 0) into 1 4.938 * [backup-simplify]: Simplify (sqrt 1) into 1 4.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.939 * [backup-simplify]: Simplify (+ 0 0) into 0 4.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.939 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.939 * [taylor]: Taking taylor expansion of y in x 4.939 * [backup-simplify]: Simplify y into y 4.939 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.939 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.939 * [taylor]: Taking taylor expansion of (fma (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 4.939 * [taylor]: Rewrote expression to (+ (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 4.939 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 4.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.940 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.940 * [taylor]: Taking taylor expansion of x in x 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 1 into 1 4.940 * [backup-simplify]: Simplify (* 1 1) into 1 4.940 * [backup-simplify]: Simplify (/ 1 1) into 1 4.940 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.940 * [taylor]: Taking taylor expansion of 2 in x 4.940 * [backup-simplify]: Simplify 2 into 2 4.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.940 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.940 * [taylor]: Taking taylor expansion of y in x 4.940 * [backup-simplify]: Simplify y into y 4.940 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.940 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.941 * [backup-simplify]: Simplify (+ 1 0) into 1 4.941 * [backup-simplify]: Simplify (sqrt 1) into 1 4.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.942 * [backup-simplify]: Simplify (+ 0 0) into 0 4.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 4.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 4.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.942 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.942 * [taylor]: Taking taylor expansion of x in x 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify 1 into 1 4.942 * [backup-simplify]: Simplify (* 1 1) into 1 4.943 * [backup-simplify]: Simplify (/ 1 1) into 1 4.943 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 4.943 * [taylor]: Taking taylor expansion of 2 in x 4.943 * [backup-simplify]: Simplify 2 into 2 4.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.943 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.943 * [taylor]: Taking taylor expansion of y in x 4.943 * [backup-simplify]: Simplify y into y 4.943 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.943 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.943 * [backup-simplify]: Simplify (+ 1 0) into 1 4.943 * [backup-simplify]: Simplify (sqrt 1) into 1 4.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.947 * [backup-simplify]: Simplify (+ 0 0) into 0 4.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.948 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.948 * [taylor]: Taking taylor expansion of y in x 4.948 * [backup-simplify]: Simplify y into y 4.948 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.948 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.948 * [backup-simplify]: Simplify (* 1 1) into 1 4.948 * [backup-simplify]: Simplify (+ 1 0) into 1 4.948 * [taylor]: Taking taylor expansion of 1 in y 4.948 * [backup-simplify]: Simplify 1 into 1 4.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.949 * [backup-simplify]: Simplify (+ 0 0) into 0 4.949 * [taylor]: Taking taylor expansion of 0 in y 4.949 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.950 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.950 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 4.951 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.952 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 4.952 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 4.953 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 4.953 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 2 (/ 1 (pow y 2))) 4.954 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 4.954 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.954 * [taylor]: Taking taylor expansion of 3 in y 4.954 * [backup-simplify]: Simplify 3 into 3 4.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.954 * [taylor]: Taking taylor expansion of y in y 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify 1 into 1 4.954 * [backup-simplify]: Simplify (* 1 1) into 1 4.954 * [backup-simplify]: Simplify (/ 1 1) into 1 4.954 * [backup-simplify]: Simplify (* 3 1) into 3 4.954 * [backup-simplify]: Simplify 3 into 3 4.954 * [backup-simplify]: Simplify 1 into 1 4.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.956 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.956 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.956 * [backup-simplify]: Simplify (+ 0 0) into 0 4.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.958 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.958 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 4.959 * [backup-simplify]: Simplify (+ 0 0) into 0 4.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 4.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0 4.960 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.960 * [backup-simplify]: Simplify (+ 0 0) into 0 4.960 * [taylor]: Taking taylor expansion of 0 in y 4.960 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.961 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 0 into 0 4.961 * [backup-simplify]: Simplify 0 into 0 4.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.963 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.964 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.964 * [backup-simplify]: Simplify (+ 0 0) into 0 4.965 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 4.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.966 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.967 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.967 * [backup-simplify]: Simplify (+ 0 0) into 0 4.968 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/2 (pow y 4)) 4.969 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y 4))) (+ (* 0 0) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (+ (* 0 0) (* (/ -1/2 (pow y 4)) 1))))) into 0 4.969 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.970 * [backup-simplify]: Simplify (+ 0 0) into 0 4.970 * [taylor]: Taking taylor expansion of 0 in y 4.970 * [backup-simplify]: Simplify 0 into 0 4.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.971 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 4.971 * [backup-simplify]: Simplify 0 into 0 4.971 * [backup-simplify]: Simplify 0 into 0 4.971 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 4.972 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 4.972 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 4.972 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 4.972 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 4.972 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.972 * [taylor]: Taking taylor expansion of x in y 4.972 * [backup-simplify]: Simplify x into x 4.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.972 * [taylor]: Taking taylor expansion of y in y 4.972 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify 1 into 1 4.972 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.972 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.972 * [taylor]: Taking taylor expansion of x in x 4.972 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify 1 into 1 4.972 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.972 * [taylor]: Taking taylor expansion of y in x 4.972 * [backup-simplify]: Simplify y into y 4.972 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 4.972 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.972 * [taylor]: Taking taylor expansion of x in x 4.972 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify 1 into 1 4.972 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.972 * [taylor]: Taking taylor expansion of y in x 4.972 * [backup-simplify]: Simplify y into y 4.972 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.972 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 4.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.972 * [taylor]: Taking taylor expansion of y in y 4.972 * [backup-simplify]: Simplify 0 into 0 4.972 * [backup-simplify]: Simplify 1 into 1 4.972 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.973 * [backup-simplify]: Simplify (+ 0 0) into 0 4.973 * [taylor]: Taking taylor expansion of 0 in y 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify (* 1 1) into 1 4.973 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.973 * [backup-simplify]: Simplify (+ 1 0) into 1 4.973 * [taylor]: Taking taylor expansion of 1 in y 4.973 * [backup-simplify]: Simplify 1 into 1 4.973 * [backup-simplify]: Simplify 1 into 1 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify (* 1 1) into 1 4.974 * [backup-simplify]: Simplify 1 into 1 4.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.975 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.975 * [backup-simplify]: Simplify (+ 0 0) into 0 4.975 * [taylor]: Taking taylor expansion of 0 in y 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify 0 into 0 4.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.975 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.976 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.977 * [backup-simplify]: Simplify (+ 0 0) into 0 4.977 * [taylor]: Taking taylor expansion of 0 in y 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 4.977 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 4.977 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 4.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.978 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.978 * [taylor]: Taking taylor expansion of x in y 4.978 * [backup-simplify]: Simplify x into x 4.978 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.978 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.978 * [taylor]: Taking taylor expansion of y in y 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [backup-simplify]: Simplify (* 1 1) into 1 4.978 * [backup-simplify]: Simplify (/ 1 1) into 1 4.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.978 * [taylor]: Taking taylor expansion of x in x 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.979 * [backup-simplify]: Simplify (* 1 1) into 1 4.979 * [backup-simplify]: Simplify (/ 1 1) into 1 4.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.979 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.979 * [taylor]: Taking taylor expansion of y in x 4.979 * [backup-simplify]: Simplify y into y 4.979 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.979 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.979 * [taylor]: Taking taylor expansion of x in x 4.979 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify 1 into 1 4.980 * [backup-simplify]: Simplify (* 1 1) into 1 4.980 * [backup-simplify]: Simplify (/ 1 1) into 1 4.980 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.980 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.980 * [taylor]: Taking taylor expansion of y in x 4.980 * [backup-simplify]: Simplify y into y 4.980 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.980 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.980 * [backup-simplify]: Simplify (+ 1 0) into 1 4.980 * [taylor]: Taking taylor expansion of 1 in y 4.980 * [backup-simplify]: Simplify 1 into 1 4.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.981 * [backup-simplify]: Simplify (+ 0 0) into 0 4.981 * [taylor]: Taking taylor expansion of 0 in y 4.981 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.983 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.983 * [taylor]: Taking taylor expansion of y in y 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify 1 into 1 4.983 * [backup-simplify]: Simplify (* 1 1) into 1 4.983 * [backup-simplify]: Simplify (/ 1 1) into 1 4.983 * [backup-simplify]: Simplify 1 into 1 4.983 * [backup-simplify]: Simplify 1 into 1 4.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.984 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.985 * [backup-simplify]: Simplify (+ 0 0) into 0 4.985 * [taylor]: Taking taylor expansion of 0 in y 4.985 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.986 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.987 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.987 * [backup-simplify]: Simplify (+ 0 0) into 0 4.987 * [taylor]: Taking taylor expansion of 0 in y 4.988 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 4.989 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 4.989 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 4.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 4.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.989 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.989 * [taylor]: Taking taylor expansion of x in y 4.989 * [backup-simplify]: Simplify x into x 4.989 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.989 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.989 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.989 * [taylor]: Taking taylor expansion of y in y 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify 1 into 1 4.990 * [backup-simplify]: Simplify (* 1 1) into 1 4.990 * [backup-simplify]: Simplify (/ 1 1) into 1 4.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.990 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.990 * [taylor]: Taking taylor expansion of x in x 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.990 * [backup-simplify]: Simplify (* 1 1) into 1 4.990 * [backup-simplify]: Simplify (/ 1 1) into 1 4.990 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.990 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.990 * [taylor]: Taking taylor expansion of y in x 4.990 * [backup-simplify]: Simplify y into y 4.990 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.991 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 4.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.991 * [taylor]: Taking taylor expansion of x in x 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (* 1 1) into 1 4.991 * [backup-simplify]: Simplify (/ 1 1) into 1 4.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.991 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.991 * [taylor]: Taking taylor expansion of y in x 4.991 * [backup-simplify]: Simplify y into y 4.991 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.991 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.992 * [backup-simplify]: Simplify (+ 1 0) into 1 4.992 * [taylor]: Taking taylor expansion of 1 in y 4.992 * [backup-simplify]: Simplify 1 into 1 4.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.993 * [backup-simplify]: Simplify (+ 0 0) into 0 4.993 * [taylor]: Taking taylor expansion of 0 in y 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 4.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.994 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.994 * [taylor]: Taking taylor expansion of y in y 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify 1 into 1 4.994 * [backup-simplify]: Simplify (* 1 1) into 1 4.994 * [backup-simplify]: Simplify (/ 1 1) into 1 4.994 * [backup-simplify]: Simplify 1 into 1 4.994 * [backup-simplify]: Simplify 1 into 1 4.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.995 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.996 * [backup-simplify]: Simplify (+ 0 0) into 0 4.996 * [taylor]: Taking taylor expansion of 0 in y 4.996 * [backup-simplify]: Simplify 0 into 0 4.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.997 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify 0 into 0 4.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.998 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.999 * [backup-simplify]: Simplify (+ 0 0) into 0 4.999 * [taylor]: Taking taylor expansion of 0 in y 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify 0 into 0 5.000 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 5.000 * * * [progress]: simplifying candidates 5.001 * [simplify]: Simplifying: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 5.003 * * [simplify]: Extracting # 0 : cost 0 5.003 * * [simplify]: Extracting # 1 : cost 0 5.003 * * [simplify]: Extracting # 2 : cost 0 5.003 * * [simplify]: Extracting # 3 : cost 0 5.003 * * [simplify]: Extracting # 4 : cost 0 5.003 * * [simplify]: Extracting # 5 : cost 0 5.003 * * [simplify]: iteration 0 : 81 enodes (cost 1257 ) 5.020 * * [simplify]: Extracting # 0 : cost 0 5.020 * * [simplify]: Extracting # 1 : cost 0 5.020 * * [simplify]: Extracting # 2 : cost 0 5.021 * * [simplify]: Extracting # 3 : cost 0 5.021 * * [simplify]: Extracting # 4 : cost 0 5.021 * * [simplify]: iteration 1 : 199 enodes (cost 911 ) 5.102 * * [simplify]: Extracting # 0 : cost 0 5.103 * * [simplify]: Extracting # 1 : cost 0 5.103 * * [simplify]: Extracting # 2 : cost 0 5.104 * * [simplify]: Extracting # 3 : cost 0 5.104 * * [simplify]: Extracting # 4 : cost 0 5.105 * * [simplify]: iteration 2 : 582 enodes (cost 676 ) 5.384 * * [simplify]: Extracting # 0 : cost 0 5.386 * * [simplify]: Extracting # 1 : cost 0 5.387 * * [simplify]: Extracting # 2 : cost 0 5.389 * * [simplify]: Extracting # 3 : cost 0 5.390 * * [simplify]: iteration 3 : 1708 enodes (cost 576 ) 6.190 * * [simplify]: Extracting # 0 : cost 0 6.195 * * [simplify]: Extracting # 1 : cost 0 6.201 * * [simplify]: Extracting # 2 : cost 0 6.207 * * [simplify]: Extracting # 3 : cost 0 6.212 * * [simplify]: Extracting # 4 : cost 0 6.217 * * [simplify]: iteration done: 5000 enodes (cost 562 ) 6.217 * [simplify]: Simplified to: (expm1 (hypot (* (sqrt 2) y) x)) (log1p (hypot (* (sqrt 2) y) x)) (log (hypot (* (sqrt 2) y) x)) (exp (hypot (* (sqrt 2) y) x)) (* (cbrt (hypot (* (sqrt 2) y) x)) (cbrt (hypot (* (sqrt 2) y) x))) (cbrt (hypot (* (sqrt 2) y) x)) (pow (hypot (* (sqrt 2) y) x) 3) (fabs (cbrt (fma x x (* 2 (* y y))))) (sqrt (cbrt (fma x x (* 2 (* y y))))) (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) 1 (hypot (* (sqrt 2) y) x) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (fma y (* (fma x x (* y y)) y) (pow x 4))) (fabs (* (hypot (* (sqrt 2) y) x) x)) (fabs x) 1/2 (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) (expm1 (hypot (* (sqrt 2) y) x)) (log1p (hypot (* (sqrt 2) y) x)) (log (hypot (* (sqrt 2) y) x)) (exp (hypot (* (sqrt 2) y) x)) (* (cbrt (hypot (* (sqrt 2) y) x)) (cbrt (hypot (* (sqrt 2) y) x))) (cbrt (hypot (* (sqrt 2) y) x)) (pow (hypot (* (sqrt 2) y) x) 3) (fabs (cbrt (fma x x (* 2 (* y y))))) (sqrt (cbrt (fma x x (* 2 (* y y))))) (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) 1 (hypot (* (sqrt 2) y) x) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (fma y (* (fma x x (* y y)) y) (pow x 4))) (fabs (* (hypot (* (sqrt 2) y) x) x)) (fabs x) 1/2 (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) (expm1 (fma (* y y) 3 (* x x))) (log1p (fma (* y y) 3 (* x x))) (fma x x (* 2 (* y y))) (log (fma (* y y) 3 (* x x))) (exp (fma (* y y) 3 (* x x))) (* (cbrt (fma (* y y) 3 (* x x))) (cbrt (fma (* y y) 3 (* x x)))) (cbrt (fma (* y y) 3 (* x x))) (pow (fma (* y y) 3 (* x x)) 3) (hypot (hypot (* (sqrt 2) y) x) y) (hypot (hypot (* (sqrt 2) y) x) y) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (exp (fma x x (* y y))) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (+ (pow x 6) (pow y 6)) (fma (* y y) (- (* y y) (* x x)) (pow x 4)) (- (pow x 4) (pow y 4)) (- (* x x) (* y y)) (* (sqrt 2) y) x (- x) (* (sqrt 2) y) x (- x) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma (* y y) 3 (* x x)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 6.218 * * * [progress]: adding candidates to table 6.430 * * [progress]: iteration 4 / 4 6.430 * * * [progress]: picking best candidate 6.454 * * * * [pick]: Picked # 6.454 * * * [progress]: localizing error 6.471 * * * [progress]: generating rewritten candidates 6.471 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.506 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 6.516 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.517 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 6.518 * * * [progress]: generating series expansions 6.518 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.518 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (pow x 2) (* 2 (pow y 2)))) 6.518 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in (x y) around 0 6.518 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 6.518 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 6.518 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.518 * [taylor]: Taking taylor expansion of x in y 6.518 * [backup-simplify]: Simplify x into x 6.518 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 6.518 * [taylor]: Taking taylor expansion of 2 in y 6.519 * [backup-simplify]: Simplify 2 into 2 6.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.519 * [taylor]: Taking taylor expansion of y in y 6.519 * [backup-simplify]: Simplify 0 into 0 6.519 * [backup-simplify]: Simplify 1 into 1 6.519 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.519 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.519 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.519 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.519 * [backup-simplify]: Simplify (+ 0 0) into 0 6.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.520 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 6.520 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.520 * [taylor]: Taking taylor expansion of x in x 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify 1 into 1 6.520 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.520 * [taylor]: Taking taylor expansion of 2 in x 6.520 * [backup-simplify]: Simplify 2 into 2 6.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.520 * [taylor]: Taking taylor expansion of y in x 6.520 * [backup-simplify]: Simplify y into y 6.520 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.520 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.520 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.520 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 6.520 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.520 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.521 * [backup-simplify]: Simplify (+ 0 0) into 0 6.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 6.521 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 6.521 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.521 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.521 * [taylor]: Taking taylor expansion of x in x 6.521 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify 1 into 1 6.521 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.521 * [taylor]: Taking taylor expansion of 2 in x 6.521 * [backup-simplify]: Simplify 2 into 2 6.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.521 * [taylor]: Taking taylor expansion of y in x 6.521 * [backup-simplify]: Simplify y into y 6.521 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.521 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.521 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.521 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 6.521 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.522 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.522 * [backup-simplify]: Simplify (+ 0 0) into 0 6.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 6.522 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.522 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.522 * [taylor]: Taking taylor expansion of 2 in y 6.522 * [backup-simplify]: Simplify 2 into 2 6.523 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.523 * [taylor]: Taking taylor expansion of y in y 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.523 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [taylor]: Taking taylor expansion of 0 in y 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.525 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.525 * [backup-simplify]: Simplify (* 1 1) into 1 6.525 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.526 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 6.526 * [backup-simplify]: Simplify (+ 1 0) into 1 6.527 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 6.527 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 6.527 * [taylor]: Taking taylor expansion of 1/2 in y 6.527 * [backup-simplify]: Simplify 1/2 into 1/2 6.527 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.527 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.527 * [taylor]: Taking taylor expansion of 2 in y 6.527 * [backup-simplify]: Simplify 2 into 2 6.527 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.528 * [taylor]: Taking taylor expansion of y in y 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify 1 into 1 6.528 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.529 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.530 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 6.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.531 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.531 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 6.531 * [backup-simplify]: Simplify 0 into 0 6.532 * [backup-simplify]: Simplify 0 into 0 6.532 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.533 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.533 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.534 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.534 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.534 * [backup-simplify]: Simplify (+ 0 0) into 0 6.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 6.535 * [taylor]: Taking taylor expansion of 0 in y 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.536 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.541 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 6.541 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify 0 into 0 6.542 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 6.542 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 6.542 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 6.542 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.542 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.542 * [taylor]: Taking taylor expansion of x in y 6.542 * [backup-simplify]: Simplify x into x 6.542 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.542 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.542 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.542 * [taylor]: Taking taylor expansion of 2 in y 6.542 * [backup-simplify]: Simplify 2 into 2 6.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.542 * [taylor]: Taking taylor expansion of y in y 6.542 * [backup-simplify]: Simplify 0 into 0 6.542 * [backup-simplify]: Simplify 1 into 1 6.543 * [backup-simplify]: Simplify (* 1 1) into 1 6.543 * [backup-simplify]: Simplify (/ 1 1) into 1 6.543 * [backup-simplify]: Simplify (* 2 1) into 2 6.543 * [backup-simplify]: Simplify (+ 0 2) into 2 6.544 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.545 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.545 * [backup-simplify]: Simplify (+ 0 0) into 0 6.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.545 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.545 * [taylor]: Taking taylor expansion of x in x 6.545 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify 1 into 1 6.546 * [backup-simplify]: Simplify (* 1 1) into 1 6.546 * [backup-simplify]: Simplify (/ 1 1) into 1 6.546 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.546 * [taylor]: Taking taylor expansion of 2 in x 6.546 * [backup-simplify]: Simplify 2 into 2 6.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.546 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.546 * [taylor]: Taking taylor expansion of y in x 6.546 * [backup-simplify]: Simplify y into y 6.546 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.546 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.547 * [backup-simplify]: Simplify (+ 1 0) into 1 6.547 * [backup-simplify]: Simplify (sqrt 1) into 1 6.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.548 * [backup-simplify]: Simplify (+ 0 0) into 0 6.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.549 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.549 * [taylor]: Taking taylor expansion of x in x 6.549 * [backup-simplify]: Simplify 0 into 0 6.549 * [backup-simplify]: Simplify 1 into 1 6.549 * [backup-simplify]: Simplify (* 1 1) into 1 6.549 * [backup-simplify]: Simplify (/ 1 1) into 1 6.549 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.549 * [taylor]: Taking taylor expansion of 2 in x 6.549 * [backup-simplify]: Simplify 2 into 2 6.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.549 * [taylor]: Taking taylor expansion of y in x 6.549 * [backup-simplify]: Simplify y into y 6.550 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.550 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.550 * [backup-simplify]: Simplify (+ 1 0) into 1 6.550 * [backup-simplify]: Simplify (sqrt 1) into 1 6.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.551 * [backup-simplify]: Simplify (+ 0 0) into 0 6.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.552 * [taylor]: Taking taylor expansion of 1 in y 6.552 * [backup-simplify]: Simplify 1 into 1 6.552 * [taylor]: Taking taylor expansion of 0 in y 6.552 * [backup-simplify]: Simplify 0 into 0 6.552 * [backup-simplify]: Simplify 1 into 1 6.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.553 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.554 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 6.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.554 * [taylor]: Taking taylor expansion of y in y 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.554 * [backup-simplify]: Simplify (* 1 1) into 1 6.554 * [backup-simplify]: Simplify (/ 1 1) into 1 6.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.555 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.556 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.557 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 6.557 * [backup-simplify]: Simplify (+ 0 0) into 0 6.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 6.558 * [taylor]: Taking taylor expansion of 0 in y 6.558 * [backup-simplify]: Simplify 0 into 0 6.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 6.559 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) 6.559 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in (x y) around 0 6.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.559 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.559 * [taylor]: Taking taylor expansion of x in y 6.559 * [backup-simplify]: Simplify x into x 6.559 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.559 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.559 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.559 * [taylor]: Taking taylor expansion of 2 in y 6.559 * [backup-simplify]: Simplify 2 into 2 6.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.559 * [taylor]: Taking taylor expansion of y in y 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify 1 into 1 6.560 * [backup-simplify]: Simplify (* 1 1) into 1 6.560 * [backup-simplify]: Simplify (/ 1 1) into 1 6.560 * [backup-simplify]: Simplify (* 2 1) into 2 6.560 * [backup-simplify]: Simplify (+ 0 2) into 2 6.561 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.562 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.562 * [backup-simplify]: Simplify (+ 0 0) into 0 6.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.562 * [taylor]: Taking taylor expansion of x in x 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 1 into 1 6.563 * [backup-simplify]: Simplify (* 1 1) into 1 6.563 * [backup-simplify]: Simplify (/ 1 1) into 1 6.563 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.563 * [taylor]: Taking taylor expansion of 2 in x 6.563 * [backup-simplify]: Simplify 2 into 2 6.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.563 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.563 * [taylor]: Taking taylor expansion of y in x 6.563 * [backup-simplify]: Simplify y into y 6.563 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.563 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.563 * [backup-simplify]: Simplify (+ 1 0) into 1 6.564 * [backup-simplify]: Simplify (sqrt 1) into 1 6.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.565 * [backup-simplify]: Simplify (+ 0 0) into 0 6.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.565 * [taylor]: Taking taylor expansion of x in x 6.565 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify 1 into 1 6.565 * [backup-simplify]: Simplify (* 1 1) into 1 6.566 * [backup-simplify]: Simplify (/ 1 1) into 1 6.566 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.566 * [taylor]: Taking taylor expansion of 2 in x 6.566 * [backup-simplify]: Simplify 2 into 2 6.566 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.566 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.566 * [taylor]: Taking taylor expansion of y in x 6.566 * [backup-simplify]: Simplify y into y 6.566 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.566 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.566 * [backup-simplify]: Simplify (+ 1 0) into 1 6.567 * [backup-simplify]: Simplify (sqrt 1) into 1 6.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.568 * [taylor]: Taking taylor expansion of 1 in y 6.568 * [backup-simplify]: Simplify 1 into 1 6.568 * [taylor]: Taking taylor expansion of 0 in y 6.568 * [backup-simplify]: Simplify 0 into 0 6.568 * [backup-simplify]: Simplify 1 into 1 6.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.569 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 6.569 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.570 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 6.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.571 * [taylor]: Taking taylor expansion of y in y 6.571 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify 1 into 1 6.571 * [backup-simplify]: Simplify (* 1 1) into 1 6.571 * [backup-simplify]: Simplify (/ 1 1) into 1 6.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.573 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.574 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 6.574 * [backup-simplify]: Simplify (+ 0 0) into 0 6.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 6.574 * [taylor]: Taking taylor expansion of 0 in y 6.574 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 6.575 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 6.576 * [backup-simplify]: Simplify (* (sqrt 2) y) into (* (sqrt 2) y) 6.576 * [approximate]: Taking taylor expansion of (* (sqrt 2) y) in (y) around 0 6.576 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.576 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.576 * [taylor]: Taking taylor expansion of 2 in y 6.576 * [backup-simplify]: Simplify 2 into 2 6.576 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.576 * [taylor]: Taking taylor expansion of y in y 6.576 * [backup-simplify]: Simplify 0 into 0 6.576 * [backup-simplify]: Simplify 1 into 1 6.576 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.576 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.576 * [taylor]: Taking taylor expansion of 2 in y 6.576 * [backup-simplify]: Simplify 2 into 2 6.577 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.577 * [taylor]: Taking taylor expansion of y in y 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify 1 into 1 6.577 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.578 * [backup-simplify]: Simplify 0 into 0 6.579 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.579 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.580 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.580 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.580 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.581 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.581 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.583 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.583 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.584 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.584 * [backup-simplify]: Simplify 0 into 0 6.585 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.586 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.586 * [backup-simplify]: Simplify 0 into 0 6.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.588 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify (* (sqrt 2) y) into (* (sqrt 2) y) 6.588 * [backup-simplify]: Simplify (* (sqrt 2) (/ 1 y)) into (/ (sqrt 2) y) 6.588 * [approximate]: Taking taylor expansion of (/ (sqrt 2) y) in (y) around 0 6.588 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.588 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.588 * [taylor]: Taking taylor expansion of 2 in y 6.588 * [backup-simplify]: Simplify 2 into 2 6.589 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.589 * [taylor]: Taking taylor expansion of y in y 6.589 * [backup-simplify]: Simplify 0 into 0 6.589 * [backup-simplify]: Simplify 1 into 1 6.590 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.590 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.590 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.590 * [taylor]: Taking taylor expansion of 2 in y 6.590 * [backup-simplify]: Simplify 2 into 2 6.590 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.591 * [taylor]: Taking taylor expansion of y in y 6.591 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify 1 into 1 6.591 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.592 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.592 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.595 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.596 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.597 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify (* (sqrt 2) (/ 1 (/ 1 y))) into (* (sqrt 2) y) 6.599 * [backup-simplify]: Simplify (* (sqrt 2) (/ 1 (- y))) into (* -1 (/ (sqrt 2) y)) 6.600 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in (y) around 0 6.600 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 6.600 * [taylor]: Taking taylor expansion of -1 in y 6.600 * [backup-simplify]: Simplify -1 into -1 6.600 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.600 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.600 * [taylor]: Taking taylor expansion of 2 in y 6.600 * [backup-simplify]: Simplify 2 into 2 6.600 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.600 * [taylor]: Taking taylor expansion of y in y 6.600 * [backup-simplify]: Simplify 0 into 0 6.600 * [backup-simplify]: Simplify 1 into 1 6.601 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.601 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 6.601 * [taylor]: Taking taylor expansion of -1 in y 6.601 * [backup-simplify]: Simplify -1 into -1 6.601 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.601 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.601 * [taylor]: Taking taylor expansion of 2 in y 6.601 * [backup-simplify]: Simplify 2 into 2 6.601 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.602 * [taylor]: Taking taylor expansion of y in y 6.602 * [backup-simplify]: Simplify 0 into 0 6.602 * [backup-simplify]: Simplify 1 into 1 6.602 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.603 * [backup-simplify]: Simplify (* -1 (sqrt 2)) into (* -1 (sqrt 2)) 6.603 * [backup-simplify]: Simplify (* -1 (sqrt 2)) into (* -1 (sqrt 2)) 6.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.604 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt 2))) into 0 6.604 * [backup-simplify]: Simplify 0 into 0 6.605 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.606 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.606 * [backup-simplify]: Simplify 0 into 0 6.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.608 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 6.609 * [backup-simplify]: Simplify 0 into 0 6.609 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.611 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 6.611 * [backup-simplify]: Simplify 0 into 0 6.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.613 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 6.613 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.615 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 6.615 * [backup-simplify]: Simplify 0 into 0 6.616 * [backup-simplify]: Simplify (* (* -1 (sqrt 2)) (/ 1 (/ 1 (- y)))) into (* (sqrt 2) y) 6.616 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.616 * [backup-simplify]: Simplify (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) into (fma (hypot (* (sqrt 2) y) x) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) 6.616 * [approximate]: Taking taylor expansion of (fma (hypot (* (sqrt 2) y) x) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in (y x) around 0 6.616 * [taylor]: Taking taylor expansion of (fma (hypot (* (sqrt 2) y) x) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in x 6.617 * [taylor]: Rewrote expression to (+ (* (hypot (* (sqrt 2) y) x) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 6.617 * [taylor]: Taking taylor expansion of (* (hypot (* (sqrt 2) y) x) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in x 6.617 * [taylor]: Taking taylor expansion of (hypot (* (sqrt 2) y) x) in x 6.617 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x))) 6.617 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x)) in x 6.617 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 6.617 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 6.617 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.617 * [taylor]: Taking taylor expansion of 2 in x 6.617 * [backup-simplify]: Simplify 2 into 2 6.617 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.617 * [taylor]: Taking taylor expansion of y in x 6.617 * [backup-simplify]: Simplify y into y 6.617 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 6.617 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.617 * [taylor]: Taking taylor expansion of 2 in x 6.617 * [backup-simplify]: Simplify 2 into 2 6.618 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.618 * [taylor]: Taking taylor expansion of y in x 6.618 * [backup-simplify]: Simplify y into y 6.618 * [taylor]: Taking taylor expansion of (* x x) in x 6.618 * [taylor]: Taking taylor expansion of x in x 6.618 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify 1 into 1 6.618 * [taylor]: Taking taylor expansion of x in x 6.618 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify 1 into 1 6.618 * [backup-simplify]: Simplify (* (sqrt 2) y) into (* (sqrt 2) y) 6.619 * [backup-simplify]: Simplify (* (sqrt 2) y) into (* (sqrt 2) y) 6.619 * [backup-simplify]: Simplify (* (* (sqrt 2) y) (* (sqrt 2) y)) into (* (pow (sqrt 2) 2) (pow y 2)) 6.619 * [backup-simplify]: Simplify (* 0 0) into 0 6.620 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) (pow y 2)) 0) into (* (pow (sqrt 2) 2) (pow y 2)) 6.621 * [backup-simplify]: Simplify (sqrt (* (pow (sqrt 2) 2) (pow y 2))) into (* (sqrt 2) y) 6.621 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 y)) into 0 6.621 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 y)) into 0 6.622 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) 0) (* 0 (* (sqrt 2) y))) into 0 6.622 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.622 * [backup-simplify]: Simplify (+ 0 0) into 0 6.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (pow (sqrt 2) 2) (pow y 2))))) into 0 6.623 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in x 6.623 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 6.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.623 * [taylor]: Taking taylor expansion of x in x 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 1 into 1 6.623 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 6.623 * [taylor]: Taking taylor expansion of 2 in x 6.623 * [backup-simplify]: Simplify 2 into 2 6.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.623 * [taylor]: Taking taylor expansion of y in x 6.623 * [backup-simplify]: Simplify y into y 6.623 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.623 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 6.623 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 6.624 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 6.624 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.624 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 6.624 * [backup-simplify]: Simplify (+ 0 0) into 0 6.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 6.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.624 * [taylor]: Taking taylor expansion of y in x 6.624 * [backup-simplify]: Simplify y into y 6.624 * [taylor]: Taking taylor expansion of (fma (hypot (* (sqrt 2) y) x) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 6.624 * [taylor]: Rewrote expression to (+ (* (hypot (* (sqrt 2) y) x) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 6.625 * [taylor]: Taking taylor expansion of (* (hypot (* (sqrt 2) y) x) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 6.625 * [taylor]: Taking taylor expansion of (hypot (* (sqrt 2) y) x) in y 6.625 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x))) 6.625 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x)) in y 6.625 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 6.625 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.625 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.625 * [taylor]: Taking taylor expansion of 2 in y 6.625 * [backup-simplify]: Simplify 2 into 2 6.625 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.625 * [taylor]: Taking taylor expansion of y in y 6.625 * [backup-simplify]: Simplify 0 into 0 6.625 * [backup-simplify]: Simplify 1 into 1 6.625 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.625 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.625 * [taylor]: Taking taylor expansion of 2 in y 6.625 * [backup-simplify]: Simplify 2 into 2 6.626 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.626 * [taylor]: Taking taylor expansion of y in y 6.626 * [backup-simplify]: Simplify 0 into 0 6.626 * [backup-simplify]: Simplify 1 into 1 6.626 * [taylor]: Taking taylor expansion of (* x x) in y 6.626 * [taylor]: Taking taylor expansion of x in y 6.626 * [backup-simplify]: Simplify x into x 6.626 * [taylor]: Taking taylor expansion of x in y 6.626 * [backup-simplify]: Simplify x into x 6.626 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.627 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.627 * [backup-simplify]: Simplify (* 0 0) into 0 6.627 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.627 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.627 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.628 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.630 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.630 * [backup-simplify]: Simplify (+ (* 0 (sqrt 2)) (* (sqrt 2) 0)) into 0 6.630 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.630 * [backup-simplify]: Simplify (+ 0 0) into 0 6.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.630 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 6.630 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 6.630 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.630 * [taylor]: Taking taylor expansion of x in y 6.630 * [backup-simplify]: Simplify x into x 6.630 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 6.631 * [taylor]: Taking taylor expansion of 2 in y 6.631 * [backup-simplify]: Simplify 2 into 2 6.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.631 * [taylor]: Taking taylor expansion of y in y 6.631 * [backup-simplify]: Simplify 0 into 0 6.631 * [backup-simplify]: Simplify 1 into 1 6.631 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.631 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.631 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.631 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.631 * [backup-simplify]: Simplify (+ 0 0) into 0 6.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.631 * [taylor]: Taking taylor expansion of y in y 6.631 * [backup-simplify]: Simplify 0 into 0 6.631 * [backup-simplify]: Simplify 1 into 1 6.631 * [taylor]: Taking taylor expansion of (fma (hypot (* (sqrt 2) y) x) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (pow y 2)) in y 6.631 * [taylor]: Rewrote expression to (+ (* (hypot (* (sqrt 2) y) x) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) (pow y 2)) 6.631 * [taylor]: Taking taylor expansion of (* (hypot (* (sqrt 2) y) x) (sqrt (+ (pow x 2) (* 2 (pow y 2))))) in y 6.631 * [taylor]: Taking taylor expansion of (hypot (* (sqrt 2) y) x) in y 6.632 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x))) 6.632 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x)) in y 6.632 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 6.632 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.632 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.632 * [taylor]: Taking taylor expansion of 2 in y 6.632 * [backup-simplify]: Simplify 2 into 2 6.632 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.632 * [taylor]: Taking taylor expansion of y in y 6.632 * [backup-simplify]: Simplify 0 into 0 6.632 * [backup-simplify]: Simplify 1 into 1 6.632 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.632 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.632 * [taylor]: Taking taylor expansion of 2 in y 6.632 * [backup-simplify]: Simplify 2 into 2 6.633 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.633 * [taylor]: Taking taylor expansion of y in y 6.633 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify 1 into 1 6.633 * [taylor]: Taking taylor expansion of (* x x) in y 6.633 * [taylor]: Taking taylor expansion of x in y 6.633 * [backup-simplify]: Simplify x into x 6.633 * [taylor]: Taking taylor expansion of x in y 6.633 * [backup-simplify]: Simplify x into x 6.633 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.637 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.638 * [backup-simplify]: Simplify (* 0 0) into 0 6.638 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.638 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.638 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.639 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.640 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.641 * [backup-simplify]: Simplify (+ (* 0 (sqrt 2)) (* (sqrt 2) 0)) into 0 6.641 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.641 * [backup-simplify]: Simplify (+ 0 0) into 0 6.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.641 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* 2 (pow y 2)))) in y 6.641 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 6.641 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.641 * [taylor]: Taking taylor expansion of x in y 6.641 * [backup-simplify]: Simplify x into x 6.641 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 6.641 * [taylor]: Taking taylor expansion of 2 in y 6.641 * [backup-simplify]: Simplify 2 into 2 6.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.642 * [taylor]: Taking taylor expansion of y in y 6.642 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify 1 into 1 6.642 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.642 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.642 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.642 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.642 * [backup-simplify]: Simplify (+ 0 0) into 0 6.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.642 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.642 * [taylor]: Taking taylor expansion of y in y 6.642 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify 1 into 1 6.642 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.642 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 6.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.642 * [taylor]: Taking taylor expansion of x in x 6.642 * [backup-simplify]: Simplify 0 into 0 6.642 * [backup-simplify]: Simplify 1 into 1 6.643 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.643 * [backup-simplify]: Simplify (+ 0 0) into 0 6.643 * [taylor]: Taking taylor expansion of 0 in x 6.643 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.643 * [backup-simplify]: Simplify (* 1 1) into 1 6.644 * [backup-simplify]: Simplify (* 2 1) into 2 6.644 * [backup-simplify]: Simplify (+ 0 2) into 2 6.644 * [backup-simplify]: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 x)) into (/ 1 x) 6.645 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.645 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.646 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.647 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2) (sqrt 2)) (* 0 0))) into (pow (sqrt 2) 2) 6.649 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.650 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 0) into (pow (sqrt 2) 2) 6.651 * [backup-simplify]: Simplify (/ (- (pow (sqrt 2) 2) (pow 0 2) (+)) (* 2 x)) into (* 1/2 (/ (pow (sqrt 2) 2) x)) 6.652 * [backup-simplify]: Simplify (+ (* x (/ 1 x)) (+ (* 0 0) (* (* 1/2 (/ (pow (sqrt 2) 2) x)) x))) into (+ (* 1/2 (pow (sqrt 2) 2)) 1) 6.652 * [backup-simplify]: Simplify (* 1 1) into 1 6.654 * [backup-simplify]: Simplify (+ (+ (* 1/2 (pow (sqrt 2) 2)) 1) 1) into (+ (* 1/2 (pow (sqrt 2) 2)) 2) 6.654 * [taylor]: Taking taylor expansion of (+ (* 1/2 (pow (sqrt 2) 2)) 2) in x 6.654 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sqrt 2) 2)) in x 6.654 * [taylor]: Taking taylor expansion of 1/2 in x 6.654 * [backup-simplify]: Simplify 1/2 into 1/2 6.654 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 6.654 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.654 * [taylor]: Taking taylor expansion of 2 in x 6.654 * [backup-simplify]: Simplify 2 into 2 6.655 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.655 * [taylor]: Taking taylor expansion of 2 in x 6.655 * [backup-simplify]: Simplify 2 into 2 6.656 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 6.657 * [backup-simplify]: Simplify (* 1/2 (pow (sqrt 2) 2)) into (* 1/2 (pow (sqrt 2) 2)) 6.658 * [backup-simplify]: Simplify (+ (* 1/2 (pow (sqrt 2) 2)) 2) into (+ (* 1/2 (pow (sqrt 2) 2)) 2) 6.659 * [backup-simplify]: Simplify (+ (* 1/2 (pow (sqrt 2) 2)) 2) into (+ (* 1/2 (pow (sqrt 2) 2)) 2) 6.660 * [backup-simplify]: Simplify 0 into 0 6.660 * [backup-simplify]: Simplify (* 1 1) into 1 6.660 * [backup-simplify]: Simplify 1 into 1 6.661 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.661 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.662 * [backup-simplify]: Simplify (+ 0 0) into 0 6.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 x))))) (* 2 x)) into 0 6.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.663 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.664 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2) 0) (+ (* 0 (sqrt 2)) (* 0 0)))) into 0 6.665 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.666 * [backup-simplify]: Simplify (+ 0 0) into 0 6.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ (pow (sqrt 2) 2) x)))))) (* 2 x)) into 0 6.667 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 (/ 1 x)) (+ (* (* 1/2 (/ (pow (sqrt 2) 2) x)) 0) (* 0 x)))) into 0 6.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.668 * [backup-simplify]: Simplify (+ 0 0) into 0 6.668 * [taylor]: Taking taylor expansion of 0 in x 6.668 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 6.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow (sqrt 2) 2))) into 0 6.669 * [backup-simplify]: Simplify (+ 0 0) into 0 6.669 * [backup-simplify]: Simplify 0 into 0 6.669 * [backup-simplify]: Simplify 0 into 0 6.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.669 * [backup-simplify]: Simplify 0 into 0 6.670 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 6.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.671 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.671 * [backup-simplify]: Simplify (+ 0 0) into 0 6.672 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 x) 2) (+ (* 2 (* 0 0)))) (* 2 x)) into (/ -1/2 (pow x 3)) 6.672 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.673 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.675 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 (sqrt 2)) (* 0 0))))) into 0 6.676 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 6.676 * [backup-simplify]: Simplify (+ 0 0) into 0 6.677 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (/ (pow (sqrt 2) 2) x)) 2) (+ (* 2 (* 0 0)))) (* 2 x)) into (* -1/8 (/ (pow (sqrt 2) 4) (pow x 3))) 6.679 * [backup-simplify]: Simplify (+ (* x (/ -1/2 (pow x 3))) (+ (* 0 0) (+ (* (* 1/2 (/ (pow (sqrt 2) 2) x)) (/ 1 x)) (+ (* 0 0) (* (* -1/8 (/ (pow (sqrt 2) 4) (pow x 3))) x))))) into (- (* 1/2 (/ (pow (sqrt 2) 2) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/8 (/ (pow (sqrt 2) 4) (pow x 2))))) 6.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.682 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ (pow (sqrt 2) 2) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/8 (/ (pow (sqrt 2) 4) (pow x 2))))) 0) into (- (* 1/2 (/ (pow (sqrt 2) 2) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/8 (/ (pow (sqrt 2) 4) (pow x 2))))) 6.682 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow (sqrt 2) 2) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/8 (/ (pow (sqrt 2) 4) (pow x 2))))) in x 6.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) (pow x 2))) in x 6.682 * [taylor]: Taking taylor expansion of 1/2 in x 6.682 * [backup-simplify]: Simplify 1/2 into 1/2 6.682 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) (pow x 2)) in x 6.682 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 6.682 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.682 * [taylor]: Taking taylor expansion of 2 in x 6.682 * [backup-simplify]: Simplify 2 into 2 6.682 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.682 * [taylor]: Taking taylor expansion of x in x 6.682 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 1 into 1 6.683 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 6.683 * [backup-simplify]: Simplify (* 1 1) into 1 6.685 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 1) into (pow (sqrt 2) 2) 6.685 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow x 2))) (* 1/8 (/ (pow (sqrt 2) 4) (pow x 2)))) in x 6.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x 6.685 * [taylor]: Taking taylor expansion of 1/2 in x 6.685 * [backup-simplify]: Simplify 1/2 into 1/2 6.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.685 * [taylor]: Taking taylor expansion of x in x 6.685 * [backup-simplify]: Simplify 0 into 0 6.685 * [backup-simplify]: Simplify 1 into 1 6.685 * [backup-simplify]: Simplify (* 1 1) into 1 6.685 * [backup-simplify]: Simplify (/ 1 1) into 1 6.685 * [taylor]: Taking taylor expansion of (* 1/8 (/ (pow (sqrt 2) 4) (pow x 2))) in x 6.685 * [taylor]: Taking taylor expansion of 1/8 in x 6.685 * [backup-simplify]: Simplify 1/8 into 1/8 6.685 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 4) (pow x 2)) in x 6.685 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 4) in x 6.685 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.685 * [taylor]: Taking taylor expansion of 2 in x 6.685 * [backup-simplify]: Simplify 2 into 2 6.686 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.686 * [taylor]: Taking taylor expansion of x in x 6.686 * [backup-simplify]: Simplify 0 into 0 6.686 * [backup-simplify]: Simplify 1 into 1 6.687 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 6.688 * [backup-simplify]: Simplify (* (pow (sqrt 2) 2) (pow (sqrt 2) 2)) into (pow (sqrt 2) 4) 6.688 * [backup-simplify]: Simplify (* 1 1) into 1 6.689 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 4) 1) into (pow (sqrt 2) 4) 6.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.690 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.691 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 6.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2) 2) (/ 0 1)))) into 0 6.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2)))) into 0 6.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.696 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.697 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.697 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 6.698 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2)))) into 0 6.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.699 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) 0) (* 0 (pow (sqrt 2) 2))) into 0 6.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2) 4) (/ 0 1)))) into 0 6.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2) 4) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.702 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 4)))) into 0 6.702 * [backup-simplify]: Simplify (+ 0 0) into 0 6.702 * [backup-simplify]: Simplify (- 0) into 0 6.702 * [backup-simplify]: Simplify (+ 0 0) into 0 6.702 * [backup-simplify]: Simplify 0 into 0 6.702 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* (+ (* 1/2 (pow (sqrt 2) 2)) 2) (pow (* 1 y) 2))) into (+ (pow x 2) (+ (* 2 (pow y 2)) (* 1/2 (* (pow (sqrt 2) 2) (pow y 2))))) 6.705 * [backup-simplify]: Simplify (fma (* 1 (hypot (* (sqrt 2) (/ 1 y)) (/ 1 x))) (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (* (/ 1 y) (/ 1 y))) into (fma (hypot (/ (sqrt 2) y) (/ 1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) 6.705 * [approximate]: Taking taylor expansion of (fma (hypot (/ (sqrt 2) y) (/ 1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (y x) around 0 6.705 * [taylor]: Taking taylor expansion of (fma (hypot (/ (sqrt 2) y) (/ 1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 6.705 * [taylor]: Rewrote expression to (+ (* (hypot (/ (sqrt 2) y) (/ 1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 6.705 * [taylor]: Taking taylor expansion of (* (hypot (/ (sqrt 2) y) (/ 1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 6.705 * [taylor]: Taking taylor expansion of (hypot (/ (sqrt 2) y) (/ 1 x)) in x 6.705 * [taylor]: Rewrote expression to (sqrt (+ (* (/ (sqrt 2) y) (/ (sqrt 2) y)) (* (/ 1 x) (/ 1 x)))) 6.705 * [taylor]: Taking taylor expansion of (+ (* (/ (sqrt 2) y) (/ (sqrt 2) y)) (* (/ 1 x) (/ 1 x))) in x 6.705 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 6.705 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 6.705 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.705 * [taylor]: Taking taylor expansion of 2 in x 6.705 * [backup-simplify]: Simplify 2 into 2 6.705 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.706 * [taylor]: Taking taylor expansion of y in x 6.706 * [backup-simplify]: Simplify y into y 6.706 * [backup-simplify]: Simplify (/ (sqrt 2) y) into (/ (sqrt 2) y) 6.706 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 6.706 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.706 * [taylor]: Taking taylor expansion of 2 in x 6.706 * [backup-simplify]: Simplify 2 into 2 6.706 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.707 * [taylor]: Taking taylor expansion of y in x 6.707 * [backup-simplify]: Simplify y into y 6.707 * [backup-simplify]: Simplify (/ (sqrt 2) y) into (/ (sqrt 2) y) 6.707 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.707 * [taylor]: Taking taylor expansion of x in x 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.707 * [backup-simplify]: Simplify (/ 1 1) into 1 6.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.707 * [taylor]: Taking taylor expansion of x in x 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 1 into 1 6.707 * [backup-simplify]: Simplify (/ 1 1) into 1 6.708 * [backup-simplify]: Simplify (* 1 1) into 1 6.708 * [backup-simplify]: Simplify (+ 0 1) into 1 6.708 * [backup-simplify]: Simplify (sqrt 1) into 1 6.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.709 * [backup-simplify]: Simplify (+ 0 0) into 0 6.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.710 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.710 * [taylor]: Taking taylor expansion of x in x 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify 1 into 1 6.710 * [backup-simplify]: Simplify (* 1 1) into 1 6.710 * [backup-simplify]: Simplify (/ 1 1) into 1 6.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.711 * [taylor]: Taking taylor expansion of 2 in x 6.711 * [backup-simplify]: Simplify 2 into 2 6.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.711 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.711 * [taylor]: Taking taylor expansion of y in x 6.711 * [backup-simplify]: Simplify y into y 6.711 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.711 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.711 * [backup-simplify]: Simplify (+ 1 0) into 1 6.711 * [backup-simplify]: Simplify (sqrt 1) into 1 6.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.713 * [backup-simplify]: Simplify (+ 0 0) into 0 6.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.713 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.713 * [taylor]: Taking taylor expansion of y in x 6.713 * [backup-simplify]: Simplify y into y 6.713 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.713 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.713 * [taylor]: Taking taylor expansion of (fma (hypot (/ (sqrt 2) y) (/ 1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 6.713 * [taylor]: Rewrote expression to (+ (* (hypot (/ (sqrt 2) y) (/ 1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 6.713 * [taylor]: Taking taylor expansion of (* (hypot (/ (sqrt 2) y) (/ 1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 6.713 * [taylor]: Taking taylor expansion of (hypot (/ (sqrt 2) y) (/ 1 x)) in y 6.713 * [taylor]: Rewrote expression to (sqrt (+ (* (/ (sqrt 2) y) (/ (sqrt 2) y)) (* (/ 1 x) (/ 1 x)))) 6.713 * [taylor]: Taking taylor expansion of (+ (* (/ (sqrt 2) y) (/ (sqrt 2) y)) (* (/ 1 x) (/ 1 x))) in y 6.713 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 6.713 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.713 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.713 * [taylor]: Taking taylor expansion of 2 in y 6.714 * [backup-simplify]: Simplify 2 into 2 6.714 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.714 * [taylor]: Taking taylor expansion of y in y 6.714 * [backup-simplify]: Simplify 0 into 0 6.714 * [backup-simplify]: Simplify 1 into 1 6.715 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.715 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.715 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.715 * [taylor]: Taking taylor expansion of 2 in y 6.715 * [backup-simplify]: Simplify 2 into 2 6.715 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.715 * [taylor]: Taking taylor expansion of y in y 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.716 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.716 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.716 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.716 * [taylor]: Taking taylor expansion of x in y 6.716 * [backup-simplify]: Simplify x into x 6.716 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.716 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.716 * [taylor]: Taking taylor expansion of x in y 6.716 * [backup-simplify]: Simplify x into x 6.716 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.717 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 6.718 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 0) into (pow (sqrt 2) 2) 6.719 * [backup-simplify]: Simplify (sqrt (pow (sqrt 2) 2)) into (sqrt 2) 6.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.720 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 6.720 * [backup-simplify]: Simplify (+ 0 0) into 0 6.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 2) 2)))) into 0 6.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.721 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.721 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.721 * [taylor]: Taking taylor expansion of x in y 6.721 * [backup-simplify]: Simplify x into x 6.721 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.721 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.721 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.721 * [taylor]: Taking taylor expansion of 2 in y 6.721 * [backup-simplify]: Simplify 2 into 2 6.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.721 * [taylor]: Taking taylor expansion of y in y 6.721 * [backup-simplify]: Simplify 0 into 0 6.721 * [backup-simplify]: Simplify 1 into 1 6.721 * [backup-simplify]: Simplify (* 1 1) into 1 6.722 * [backup-simplify]: Simplify (/ 1 1) into 1 6.722 * [backup-simplify]: Simplify (* 2 1) into 2 6.722 * [backup-simplify]: Simplify (+ 0 2) into 2 6.722 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.723 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.724 * [backup-simplify]: Simplify (+ 0 0) into 0 6.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.724 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.724 * [taylor]: Taking taylor expansion of y in y 6.724 * [backup-simplify]: Simplify 0 into 0 6.724 * [backup-simplify]: Simplify 1 into 1 6.724 * [backup-simplify]: Simplify (* 1 1) into 1 6.725 * [backup-simplify]: Simplify (/ 1 1) into 1 6.725 * [taylor]: Taking taylor expansion of (fma (hypot (/ (sqrt 2) y) (/ 1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 6.725 * [taylor]: Rewrote expression to (+ (* (hypot (/ (sqrt 2) y) (/ 1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 6.725 * [taylor]: Taking taylor expansion of (* (hypot (/ (sqrt 2) y) (/ 1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 6.725 * [taylor]: Taking taylor expansion of (hypot (/ (sqrt 2) y) (/ 1 x)) in y 6.725 * [taylor]: Rewrote expression to (sqrt (+ (* (/ (sqrt 2) y) (/ (sqrt 2) y)) (* (/ 1 x) (/ 1 x)))) 6.725 * [taylor]: Taking taylor expansion of (+ (* (/ (sqrt 2) y) (/ (sqrt 2) y)) (* (/ 1 x) (/ 1 x))) in y 6.725 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 6.725 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.725 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.725 * [taylor]: Taking taylor expansion of 2 in y 6.725 * [backup-simplify]: Simplify 2 into 2 6.725 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.726 * [taylor]: Taking taylor expansion of y in y 6.726 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify 1 into 1 6.726 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.726 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.726 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.726 * [taylor]: Taking taylor expansion of 2 in y 6.726 * [backup-simplify]: Simplify 2 into 2 6.726 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.727 * [taylor]: Taking taylor expansion of y in y 6.727 * [backup-simplify]: Simplify 0 into 0 6.727 * [backup-simplify]: Simplify 1 into 1 6.727 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.727 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.727 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.727 * [taylor]: Taking taylor expansion of x in y 6.727 * [backup-simplify]: Simplify x into x 6.727 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.727 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.727 * [taylor]: Taking taylor expansion of x in y 6.727 * [backup-simplify]: Simplify x into x 6.728 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.731 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 6.732 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 0) into (pow (sqrt 2) 2) 6.733 * [backup-simplify]: Simplify (sqrt (pow (sqrt 2) 2)) into (sqrt 2) 6.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.735 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 6.735 * [backup-simplify]: Simplify (+ 0 0) into 0 6.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 2) 2)))) into 0 6.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.735 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.735 * [taylor]: Taking taylor expansion of x in y 6.736 * [backup-simplify]: Simplify x into x 6.736 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.736 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.736 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.736 * [taylor]: Taking taylor expansion of 2 in y 6.736 * [backup-simplify]: Simplify 2 into 2 6.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.736 * [taylor]: Taking taylor expansion of y in y 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 1 into 1 6.736 * [backup-simplify]: Simplify (* 1 1) into 1 6.736 * [backup-simplify]: Simplify (/ 1 1) into 1 6.736 * [backup-simplify]: Simplify (* 2 1) into 2 6.737 * [backup-simplify]: Simplify (+ 0 2) into 2 6.737 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.738 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.738 * [backup-simplify]: Simplify (+ 0 0) into 0 6.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.739 * [taylor]: Taking taylor expansion of y in y 6.739 * [backup-simplify]: Simplify 0 into 0 6.739 * [backup-simplify]: Simplify 1 into 1 6.739 * [backup-simplify]: Simplify (* 1 1) into 1 6.739 * [backup-simplify]: Simplify (/ 1 1) into 1 6.740 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 6.741 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 6.741 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 6.741 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 6.741 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.741 * [taylor]: Taking taylor expansion of 2 in x 6.741 * [backup-simplify]: Simplify 2 into 2 6.741 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.742 * [taylor]: Taking taylor expansion of 1 in x 6.742 * [backup-simplify]: Simplify 1 into 1 6.742 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 6.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.743 * [backup-simplify]: Simplify (+ 0 0) into 0 6.743 * [taylor]: Taking taylor expansion of 0 in x 6.743 * [backup-simplify]: Simplify 0 into 0 6.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.745 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.745 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 6.746 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (* (pow x 2) (sqrt 2))) 6.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.749 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.749 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 6.749 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.750 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (* (pow x 2) (sqrt 2))) 6.751 * [backup-simplify]: Simplify (+ (* (sqrt 2) (/ 1/2 (* (pow x 2) (sqrt 2)))) (+ (* 0 0) (* (/ 1/2 (* (pow x 2) (sqrt 2))) (sqrt 2)))) into (/ 1 (pow x 2)) 6.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.753 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 6.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.753 * [taylor]: Taking taylor expansion of x in x 6.753 * [backup-simplify]: Simplify 0 into 0 6.753 * [backup-simplify]: Simplify 1 into 1 6.753 * [backup-simplify]: Simplify (* 1 1) into 1 6.753 * [backup-simplify]: Simplify (/ 1 1) into 1 6.753 * [backup-simplify]: Simplify 1 into 1 6.754 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 6.755 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 6.756 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 6.756 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.758 * [backup-simplify]: Simplify (+ 0 0) into 0 6.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 6.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.762 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 6.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.762 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 6.762 * [backup-simplify]: Simplify (+ 0 0) into 0 6.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 6.764 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (/ 1/2 (* (pow x 2) (sqrt 2)))) (+ (* (/ 1/2 (* (pow x 2) (sqrt 2))) 0) (* 0 (sqrt 2))))) into 0 6.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.766 * [backup-simplify]: Simplify (+ 0 0) into 0 6.766 * [taylor]: Taking taylor expansion of 0 in x 6.766 * [backup-simplify]: Simplify 0 into 0 6.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 6.767 * [backup-simplify]: Simplify (+ 0 0) into 0 6.767 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 6.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.770 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.770 * [backup-simplify]: Simplify (+ 0 0) into 0 6.771 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (* (pow x 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -1/8 (* (pow x 4) (pow (sqrt 2) 3))) 6.772 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.773 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.775 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 6.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.775 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 6.775 * [backup-simplify]: Simplify (+ 0 0) into 0 6.777 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (* (pow x 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -1/8 (* (pow x 4) (pow (sqrt 2) 3))) 6.780 * [backup-simplify]: Simplify (+ (* (sqrt 2) (/ -1/8 (* (pow x 4) (pow (sqrt 2) 3)))) (+ (* 0 0) (+ (* (/ 1/2 (* (pow x 2) (sqrt 2))) (/ 1/2 (* (pow x 2) (sqrt 2)))) (+ (* 0 0) (* (/ -1/8 (* (pow x 4) (pow (sqrt 2) 3))) (sqrt 2)))))) into 0 6.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.781 * [backup-simplify]: Simplify (+ 0 0) into 0 6.781 * [taylor]: Taking taylor expansion of 0 in x 6.781 * [backup-simplify]: Simplify 0 into 0 6.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.782 * [backup-simplify]: Simplify 0 into 0 6.782 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.783 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.783 * [backup-simplify]: Simplify (+ 0 0) into 0 6.783 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify (+ (* (+ (pow (sqrt 2) 2) 1) (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) 6.785 * [backup-simplify]: Simplify (fma (* 1 (hypot (* (sqrt 2) (/ 1 (- y))) (/ 1 (- x)))) (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) 6.785 * [approximate]: Taking taylor expansion of (fma (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in (y x) around 0 6.785 * [taylor]: Taking taylor expansion of (fma (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in x 6.785 * [taylor]: Rewrote expression to (+ (* (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 6.785 * [taylor]: Taking taylor expansion of (* (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in x 6.785 * [taylor]: Taking taylor expansion of (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) in x 6.786 * [taylor]: Rewrote expression to (sqrt (+ (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) (* (/ -1 x) (/ -1 x)))) 6.786 * [taylor]: Taking taylor expansion of (+ (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) (* (/ -1 x) (/ -1 x))) in x 6.786 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 6.786 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 6.786 * [taylor]: Taking taylor expansion of -1 in x 6.786 * [backup-simplify]: Simplify -1 into -1 6.786 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 6.786 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.786 * [taylor]: Taking taylor expansion of 2 in x 6.786 * [backup-simplify]: Simplify 2 into 2 6.786 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.786 * [taylor]: Taking taylor expansion of y in x 6.786 * [backup-simplify]: Simplify y into y 6.787 * [backup-simplify]: Simplify (/ (sqrt 2) y) into (/ (sqrt 2) y) 6.787 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 6.787 * [taylor]: Taking taylor expansion of -1 in x 6.787 * [backup-simplify]: Simplify -1 into -1 6.787 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 6.787 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.787 * [taylor]: Taking taylor expansion of 2 in x 6.787 * [backup-simplify]: Simplify 2 into 2 6.787 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.787 * [taylor]: Taking taylor expansion of y in x 6.788 * [backup-simplify]: Simplify y into y 6.788 * [backup-simplify]: Simplify (/ (sqrt 2) y) into (/ (sqrt 2) y) 6.788 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.788 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.788 * [taylor]: Taking taylor expansion of -1 in x 6.788 * [backup-simplify]: Simplify -1 into -1 6.788 * [taylor]: Taking taylor expansion of x in x 6.788 * [backup-simplify]: Simplify 0 into 0 6.788 * [backup-simplify]: Simplify 1 into 1 6.788 * [backup-simplify]: Simplify (/ -1 1) into -1 6.788 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.788 * [taylor]: Taking taylor expansion of -1 in x 6.788 * [backup-simplify]: Simplify -1 into -1 6.788 * [taylor]: Taking taylor expansion of x in x 6.788 * [backup-simplify]: Simplify 0 into 0 6.788 * [backup-simplify]: Simplify 1 into 1 6.788 * [backup-simplify]: Simplify (/ -1 1) into -1 6.789 * [backup-simplify]: Simplify (* -1 -1) into 1 6.789 * [backup-simplify]: Simplify (+ 0 1) into 1 6.789 * [backup-simplify]: Simplify (sqrt 1) into 1 6.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.791 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.791 * [backup-simplify]: Simplify (+ 0 0) into 0 6.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in x 6.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 6.791 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.791 * [taylor]: Taking taylor expansion of x in x 6.791 * [backup-simplify]: Simplify 0 into 0 6.791 * [backup-simplify]: Simplify 1 into 1 6.792 * [backup-simplify]: Simplify (* 1 1) into 1 6.792 * [backup-simplify]: Simplify (/ 1 1) into 1 6.792 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 6.792 * [taylor]: Taking taylor expansion of 2 in x 6.792 * [backup-simplify]: Simplify 2 into 2 6.792 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.792 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.792 * [taylor]: Taking taylor expansion of y in x 6.792 * [backup-simplify]: Simplify y into y 6.792 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.792 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.792 * [backup-simplify]: Simplify (+ 1 0) into 1 6.793 * [backup-simplify]: Simplify (sqrt 1) into 1 6.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.794 * [backup-simplify]: Simplify (+ 0 0) into 0 6.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.794 * [taylor]: Taking taylor expansion of y in x 6.794 * [backup-simplify]: Simplify y into y 6.794 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.794 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.794 * [taylor]: Taking taylor expansion of (fma (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 6.794 * [taylor]: Rewrote expression to (+ (* (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 6.794 * [taylor]: Taking taylor expansion of (* (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 6.794 * [taylor]: Taking taylor expansion of (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) in y 6.794 * [taylor]: Rewrote expression to (sqrt (+ (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) (* (/ -1 x) (/ -1 x)))) 6.795 * [taylor]: Taking taylor expansion of (+ (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) (* (/ -1 x) (/ -1 x))) in y 6.795 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 6.795 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 6.795 * [taylor]: Taking taylor expansion of -1 in y 6.795 * [backup-simplify]: Simplify -1 into -1 6.795 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.795 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.795 * [taylor]: Taking taylor expansion of 2 in y 6.795 * [backup-simplify]: Simplify 2 into 2 6.795 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.795 * [taylor]: Taking taylor expansion of y in y 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify 1 into 1 6.796 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.796 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 6.796 * [taylor]: Taking taylor expansion of -1 in y 6.796 * [backup-simplify]: Simplify -1 into -1 6.796 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.796 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.796 * [taylor]: Taking taylor expansion of 2 in y 6.796 * [backup-simplify]: Simplify 2 into 2 6.796 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.797 * [taylor]: Taking taylor expansion of y in y 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify 1 into 1 6.797 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.797 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.797 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.797 * [taylor]: Taking taylor expansion of -1 in y 6.797 * [backup-simplify]: Simplify -1 into -1 6.797 * [taylor]: Taking taylor expansion of x in y 6.797 * [backup-simplify]: Simplify x into x 6.797 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.797 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.797 * [taylor]: Taking taylor expansion of -1 in y 6.797 * [backup-simplify]: Simplify -1 into -1 6.797 * [taylor]: Taking taylor expansion of x in y 6.797 * [backup-simplify]: Simplify x into x 6.797 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.798 * [backup-simplify]: Simplify (* -1 (sqrt 2)) into (* -1 (sqrt 2)) 6.799 * [backup-simplify]: Simplify (* -1 (sqrt 2)) into (* -1 (sqrt 2)) 6.800 * [backup-simplify]: Simplify (* (* -1 (sqrt 2)) (* -1 (sqrt 2))) into (pow (sqrt 2) 2) 6.801 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 0) into (pow (sqrt 2) 2) 6.802 * [backup-simplify]: Simplify (sqrt (pow (sqrt 2) 2)) into (sqrt 2) 6.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.803 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt 2))) into 0 6.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.804 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt 2))) into 0 6.804 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (* 0 (* -1 (sqrt 2)))) into 0 6.804 * [backup-simplify]: Simplify (+ 0 0) into 0 6.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 2) 2)))) into 0 6.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.805 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.805 * [taylor]: Taking taylor expansion of x in y 6.805 * [backup-simplify]: Simplify x into x 6.805 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.805 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.805 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.805 * [taylor]: Taking taylor expansion of 2 in y 6.805 * [backup-simplify]: Simplify 2 into 2 6.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.805 * [taylor]: Taking taylor expansion of y in y 6.805 * [backup-simplify]: Simplify 0 into 0 6.805 * [backup-simplify]: Simplify 1 into 1 6.806 * [backup-simplify]: Simplify (* 1 1) into 1 6.806 * [backup-simplify]: Simplify (/ 1 1) into 1 6.806 * [backup-simplify]: Simplify (* 2 1) into 2 6.806 * [backup-simplify]: Simplify (+ 0 2) into 2 6.807 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.808 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.808 * [backup-simplify]: Simplify (+ 0 0) into 0 6.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.808 * [taylor]: Taking taylor expansion of y in y 6.808 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify 1 into 1 6.809 * [backup-simplify]: Simplify (* 1 1) into 1 6.809 * [backup-simplify]: Simplify (/ 1 1) into 1 6.809 * [taylor]: Taking taylor expansion of (fma (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) (/ 1 (pow y 2))) in y 6.809 * [taylor]: Rewrote expression to (+ (* (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) (/ 1 (pow y 2))) 6.809 * [taylor]: Taking taylor expansion of (* (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))))) in y 6.809 * [taylor]: Taking taylor expansion of (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) in y 6.809 * [taylor]: Rewrote expression to (sqrt (+ (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) (* (/ -1 x) (/ -1 x)))) 6.809 * [taylor]: Taking taylor expansion of (+ (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) (* (/ -1 x) (/ -1 x))) in y 6.809 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 6.809 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 6.809 * [taylor]: Taking taylor expansion of -1 in y 6.809 * [backup-simplify]: Simplify -1 into -1 6.809 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.809 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.809 * [taylor]: Taking taylor expansion of 2 in y 6.809 * [backup-simplify]: Simplify 2 into 2 6.809 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.810 * [taylor]: Taking taylor expansion of y in y 6.810 * [backup-simplify]: Simplify 0 into 0 6.810 * [backup-simplify]: Simplify 1 into 1 6.810 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.810 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 6.810 * [taylor]: Taking taylor expansion of -1 in y 6.810 * [backup-simplify]: Simplify -1 into -1 6.811 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.811 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.811 * [taylor]: Taking taylor expansion of 2 in y 6.811 * [backup-simplify]: Simplify 2 into 2 6.811 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.811 * [taylor]: Taking taylor expansion of y in y 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify 1 into 1 6.812 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.812 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.812 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.812 * [taylor]: Taking taylor expansion of -1 in y 6.812 * [backup-simplify]: Simplify -1 into -1 6.812 * [taylor]: Taking taylor expansion of x in y 6.812 * [backup-simplify]: Simplify x into x 6.812 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.812 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.812 * [taylor]: Taking taylor expansion of -1 in y 6.812 * [backup-simplify]: Simplify -1 into -1 6.812 * [taylor]: Taking taylor expansion of x in y 6.812 * [backup-simplify]: Simplify x into x 6.812 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.812 * [backup-simplify]: Simplify (* -1 (sqrt 2)) into (* -1 (sqrt 2)) 6.813 * [backup-simplify]: Simplify (* -1 (sqrt 2)) into (* -1 (sqrt 2)) 6.814 * [backup-simplify]: Simplify (* (* -1 (sqrt 2)) (* -1 (sqrt 2))) into (pow (sqrt 2) 2) 6.815 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 0) into (pow (sqrt 2) 2) 6.816 * [backup-simplify]: Simplify (sqrt (pow (sqrt 2) 2)) into (sqrt 2) 6.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.817 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt 2))) into 0 6.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.818 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt 2))) into 0 6.819 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (* 0 (* -1 (sqrt 2)))) into 0 6.819 * [backup-simplify]: Simplify (+ 0 0) into 0 6.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 2) 2)))) into 0 6.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2))))) in y 6.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 6.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.819 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.819 * [taylor]: Taking taylor expansion of x in y 6.819 * [backup-simplify]: Simplify x into x 6.820 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.820 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.820 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.820 * [taylor]: Taking taylor expansion of 2 in y 6.820 * [backup-simplify]: Simplify 2 into 2 6.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.820 * [taylor]: Taking taylor expansion of y in y 6.820 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify 1 into 1 6.820 * [backup-simplify]: Simplify (* 1 1) into 1 6.820 * [backup-simplify]: Simplify (/ 1 1) into 1 6.820 * [backup-simplify]: Simplify (* 2 1) into 2 6.821 * [backup-simplify]: Simplify (+ 0 2) into 2 6.821 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.825 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 6.826 * [backup-simplify]: Simplify (+ 0 0) into 0 6.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.826 * [taylor]: Taking taylor expansion of y in y 6.826 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify 1 into 1 6.826 * [backup-simplify]: Simplify (* 1 1) into 1 6.827 * [backup-simplify]: Simplify (/ 1 1) into 1 6.828 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 6.829 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 6.829 * [taylor]: Taking taylor expansion of (+ (pow (sqrt 2) 2) 1) in x 6.829 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 6.829 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.829 * [taylor]: Taking taylor expansion of 2 in x 6.829 * [backup-simplify]: Simplify 2 into 2 6.829 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.829 * [taylor]: Taking taylor expansion of 1 in x 6.829 * [backup-simplify]: Simplify 1 into 1 6.830 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 6.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.831 * [backup-simplify]: Simplify (+ 0 0) into 0 6.831 * [taylor]: Taking taylor expansion of 0 in x 6.831 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.832 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 6.833 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (* (pow x 2) (sqrt 2))) 6.834 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.835 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.836 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.837 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.838 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (+ (* 0 0) (* 0 (* -1 (sqrt 2))))) into 0 6.838 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 6.838 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.839 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (* (pow x 2) (sqrt 2))) 6.840 * [backup-simplify]: Simplify (+ (* (sqrt 2) (/ 1/2 (* (pow x 2) (sqrt 2)))) (+ (* 0 0) (* (/ 1/2 (* (pow x 2) (sqrt 2))) (sqrt 2)))) into (/ 1 (pow x 2)) 6.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.841 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 6.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.841 * [taylor]: Taking taylor expansion of x in x 6.841 * [backup-simplify]: Simplify 0 into 0 6.841 * [backup-simplify]: Simplify 1 into 1 6.842 * [backup-simplify]: Simplify (* 1 1) into 1 6.842 * [backup-simplify]: Simplify (/ 1 1) into 1 6.842 * [backup-simplify]: Simplify 1 into 1 6.843 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 6.844 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 6.844 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 1) into (+ (pow (sqrt 2) 2) 1) 6.844 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.846 * [backup-simplify]: Simplify (+ 0 0) into 0 6.847 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 6.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.849 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 6.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.851 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 6.852 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (sqrt 2)))))) into 0 6.852 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 6.852 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 6.852 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 6.853 * [backup-simplify]: Simplify (+ 0 0) into 0 6.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 6.855 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (/ 1/2 (* (pow x 2) (sqrt 2)))) (+ (* (/ 1/2 (* (pow x 2) (sqrt 2))) 0) (* 0 (sqrt 2))))) into 0 6.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.856 * [backup-simplify]: Simplify (+ 0 0) into 0 6.856 * [taylor]: Taking taylor expansion of 0 in x 6.856 * [backup-simplify]: Simplify 0 into 0 6.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.857 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 6.858 * [backup-simplify]: Simplify (+ 0 0) into 0 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 6.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.860 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.860 * [backup-simplify]: Simplify (+ 0 0) into 0 6.861 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (* (pow x 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -1/8 (* (pow x 4) (pow (sqrt 2) 3))) 6.862 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.864 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 6.864 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.866 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 6.866 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (sqrt 2))))))) into 0 6.867 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.867 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.867 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0 6.867 * [backup-simplify]: Simplify (+ 0 0) into 0 6.869 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (* (pow x 2) (sqrt 2))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -1/8 (* (pow x 4) (pow (sqrt 2) 3))) 6.871 * [backup-simplify]: Simplify (+ (* (sqrt 2) (/ -1/8 (* (pow x 4) (pow (sqrt 2) 3)))) (+ (* 0 0) (+ (* (/ 1/2 (* (pow x 2) (sqrt 2))) (/ 1/2 (* (pow x 2) (sqrt 2)))) (+ (* 0 0) (* (/ -1/8 (* (pow x 4) (pow (sqrt 2) 3))) (sqrt 2)))))) into 0 6.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.873 * [backup-simplify]: Simplify (+ 0 0) into 0 6.873 * [taylor]: Taking taylor expansion of 0 in x 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.874 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.875 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.875 * [backup-simplify]: Simplify (+ 0 0) into 0 6.875 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify (+ (* (+ (pow (sqrt 2) 2) 1) (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) 6.876 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 6.877 * [backup-simplify]: Simplify (hypot (* (sqrt 2) y) x) into (hypot (* (sqrt 2) y) x) 6.877 * [approximate]: Taking taylor expansion of (hypot (* (sqrt 2) y) x) in (y x) around 0 6.877 * [taylor]: Taking taylor expansion of (hypot (* (sqrt 2) y) x) in x 6.877 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x))) 6.877 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x)) in x 6.877 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in x 6.877 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 6.877 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.877 * [taylor]: Taking taylor expansion of 2 in x 6.877 * [backup-simplify]: Simplify 2 into 2 6.877 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.878 * [taylor]: Taking taylor expansion of y in x 6.878 * [backup-simplify]: Simplify y into y 6.878 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in x 6.878 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.878 * [taylor]: Taking taylor expansion of 2 in x 6.878 * [backup-simplify]: Simplify 2 into 2 6.878 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.878 * [taylor]: Taking taylor expansion of y in x 6.878 * [backup-simplify]: Simplify y into y 6.878 * [taylor]: Taking taylor expansion of (* x x) in x 6.878 * [taylor]: Taking taylor expansion of x in x 6.878 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify 1 into 1 6.878 * [taylor]: Taking taylor expansion of x in x 6.878 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify 1 into 1 6.879 * [backup-simplify]: Simplify (* (sqrt 2) y) into (* (sqrt 2) y) 6.879 * [backup-simplify]: Simplify (* (sqrt 2) y) into (* (sqrt 2) y) 6.879 * [backup-simplify]: Simplify (* (* (sqrt 2) y) (* (sqrt 2) y)) into (* (pow (sqrt 2) 2) (pow y 2)) 6.880 * [backup-simplify]: Simplify (* 0 0) into 0 6.880 * [backup-simplify]: Simplify (+ (* (pow (sqrt 2) 2) (pow y 2)) 0) into (* (pow (sqrt 2) 2) (pow y 2)) 6.881 * [backup-simplify]: Simplify (sqrt (* (pow (sqrt 2) 2) (pow y 2))) into (* (sqrt 2) y) 6.881 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 y)) into 0 6.882 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 y)) into 0 6.882 * [backup-simplify]: Simplify (+ (* (* (sqrt 2) y) 0) (* 0 (* (sqrt 2) y))) into 0 6.882 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.883 * [backup-simplify]: Simplify (+ 0 0) into 0 6.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* (pow (sqrt 2) 2) (pow y 2))))) into 0 6.883 * [taylor]: Taking taylor expansion of (hypot (* (sqrt 2) y) x) in y 6.883 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x))) 6.883 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x)) in y 6.883 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 6.883 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.883 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.883 * [taylor]: Taking taylor expansion of 2 in y 6.883 * [backup-simplify]: Simplify 2 into 2 6.884 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.884 * [taylor]: Taking taylor expansion of y in y 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify 1 into 1 6.884 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.884 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.884 * [taylor]: Taking taylor expansion of 2 in y 6.884 * [backup-simplify]: Simplify 2 into 2 6.885 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.885 * [taylor]: Taking taylor expansion of y in y 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 1 into 1 6.885 * [taylor]: Taking taylor expansion of (* x x) in y 6.885 * [taylor]: Taking taylor expansion of x in y 6.885 * [backup-simplify]: Simplify x into x 6.885 * [taylor]: Taking taylor expansion of x in y 6.885 * [backup-simplify]: Simplify x into x 6.885 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.886 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.886 * [backup-simplify]: Simplify (* 0 0) into 0 6.886 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.886 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.886 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.888 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.889 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.889 * [backup-simplify]: Simplify (+ (* 0 (sqrt 2)) (* (sqrt 2) 0)) into 0 6.889 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.890 * [backup-simplify]: Simplify (+ 0 0) into 0 6.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.890 * [taylor]: Taking taylor expansion of (hypot (* (sqrt 2) y) x) in y 6.890 * [taylor]: Rewrote expression to (sqrt (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x))) 6.890 * [taylor]: Taking taylor expansion of (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x)) in y 6.890 * [taylor]: Taking taylor expansion of (* (* (sqrt 2) y) (* (sqrt 2) y)) in y 6.890 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.890 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.890 * [taylor]: Taking taylor expansion of 2 in y 6.890 * [backup-simplify]: Simplify 2 into 2 6.890 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.891 * [taylor]: Taking taylor expansion of y in y 6.891 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify 1 into 1 6.891 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 6.891 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.891 * [taylor]: Taking taylor expansion of 2 in y 6.891 * [backup-simplify]: Simplify 2 into 2 6.891 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.891 * [taylor]: Taking taylor expansion of y in y 6.891 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify 1 into 1 6.891 * [taylor]: Taking taylor expansion of (* x x) in y 6.892 * [taylor]: Taking taylor expansion of x in y 6.892 * [backup-simplify]: Simplify x into x 6.892 * [taylor]: Taking taylor expansion of x in y 6.892 * [backup-simplify]: Simplify x into x 6.892 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.892 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 6.892 * [backup-simplify]: Simplify (* 0 0) into 0 6.892 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.893 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.893 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 6.894 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.895 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 6.895 * [backup-simplify]: Simplify (+ (* 0 (sqrt 2)) (* (sqrt 2) 0)) into 0 6.895 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.896 * [backup-simplify]: Simplify (+ 0 0) into 0 6.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 6.896 * [taylor]: Taking taylor expansion of x in x 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 1 into 1 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [taylor]: Taking taylor expansion of 0 in x 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 0 into 0 6.896 * [backup-simplify]: Simplify 1 into 1 6.896 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.897 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.898 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.898 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2) (sqrt 2)) (* 0 0))) into (pow (sqrt 2) 2) 6.901 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.902 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 0) into (pow (sqrt 2) 2) 6.903 * [backup-simplify]: Simplify (/ (- (pow (sqrt 2) 2) (pow 0 2) (+)) (* 2 x)) into (* 1/2 (/ (pow (sqrt 2) 2) x)) 6.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (sqrt 2) 2) x)) in x 6.903 * [taylor]: Taking taylor expansion of 1/2 in x 6.903 * [backup-simplify]: Simplify 1/2 into 1/2 6.903 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2) 2) x) in x 6.903 * [taylor]: Taking taylor expansion of (pow (sqrt 2) 2) in x 6.903 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.903 * [taylor]: Taking taylor expansion of 2 in x 6.903 * [backup-simplify]: Simplify 2 into 2 6.904 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.904 * [taylor]: Taking taylor expansion of x in x 6.904 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify 1 into 1 6.905 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 6.906 * [backup-simplify]: Simplify (/ (pow (sqrt 2) 2) 1) into (pow (sqrt 2) 2) 6.906 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 6.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2) 2) (/ 0 1)))) into 0 6.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow (sqrt 2) 2))) into 0 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.909 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.910 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2) 0) (+ (* 0 (sqrt 2)) (* 0 0)))) into 0 6.911 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 6.911 * [backup-simplify]: Simplify (+ 0 0) into 0 6.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (/ (pow (sqrt 2) 2) x)))))) (* 2 x)) into 0 6.912 * [taylor]: Taking taylor expansion of 0 in x 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.913 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (sqrt 2) 2)))) into 0 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify (* 1 (* x 1)) into x 6.918 * [backup-simplify]: Simplify (hypot (* (sqrt 2) (/ 1 y)) (/ 1 x)) into (hypot (/ (sqrt 2) y) (/ 1 x)) 6.918 * [approximate]: Taking taylor expansion of (hypot (/ (sqrt 2) y) (/ 1 x)) in (y x) around 0 6.918 * [taylor]: Taking taylor expansion of (hypot (/ (sqrt 2) y) (/ 1 x)) in x 6.918 * [taylor]: Rewrote expression to (sqrt (+ (* (/ (sqrt 2) y) (/ (sqrt 2) y)) (* (/ 1 x) (/ 1 x)))) 6.918 * [taylor]: Taking taylor expansion of (+ (* (/ (sqrt 2) y) (/ (sqrt 2) y)) (* (/ 1 x) (/ 1 x))) in x 6.918 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in x 6.918 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 6.918 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.918 * [taylor]: Taking taylor expansion of 2 in x 6.918 * [backup-simplify]: Simplify 2 into 2 6.919 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.919 * [taylor]: Taking taylor expansion of y in x 6.919 * [backup-simplify]: Simplify y into y 6.919 * [backup-simplify]: Simplify (/ (sqrt 2) y) into (/ (sqrt 2) y) 6.919 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 6.919 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.919 * [taylor]: Taking taylor expansion of 2 in x 6.919 * [backup-simplify]: Simplify 2 into 2 6.920 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.920 * [taylor]: Taking taylor expansion of y in x 6.920 * [backup-simplify]: Simplify y into y 6.920 * [backup-simplify]: Simplify (/ (sqrt 2) y) into (/ (sqrt 2) y) 6.920 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.920 * [taylor]: Taking taylor expansion of x in x 6.920 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify 1 into 1 6.921 * [backup-simplify]: Simplify (/ 1 1) into 1 6.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.921 * [taylor]: Taking taylor expansion of x in x 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify 1 into 1 6.921 * [backup-simplify]: Simplify (/ 1 1) into 1 6.921 * [backup-simplify]: Simplify (* 1 1) into 1 6.921 * [backup-simplify]: Simplify (+ 0 1) into 1 6.922 * [backup-simplify]: Simplify (sqrt 1) into 1 6.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.923 * [backup-simplify]: Simplify (+ 0 0) into 0 6.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.923 * [taylor]: Taking taylor expansion of (hypot (/ (sqrt 2) y) (/ 1 x)) in y 6.923 * [taylor]: Rewrote expression to (sqrt (+ (* (/ (sqrt 2) y) (/ (sqrt 2) y)) (* (/ 1 x) (/ 1 x)))) 6.923 * [taylor]: Taking taylor expansion of (+ (* (/ (sqrt 2) y) (/ (sqrt 2) y)) (* (/ 1 x) (/ 1 x))) in y 6.923 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 6.923 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.923 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.924 * [taylor]: Taking taylor expansion of 2 in y 6.924 * [backup-simplify]: Simplify 2 into 2 6.924 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.924 * [taylor]: Taking taylor expansion of y in y 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify 1 into 1 6.925 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.925 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.925 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.925 * [taylor]: Taking taylor expansion of 2 in y 6.925 * [backup-simplify]: Simplify 2 into 2 6.925 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.925 * [taylor]: Taking taylor expansion of y in y 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 1 into 1 6.926 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.926 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.926 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.926 * [taylor]: Taking taylor expansion of x in y 6.926 * [backup-simplify]: Simplify x into x 6.926 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.926 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.926 * [taylor]: Taking taylor expansion of x in y 6.926 * [backup-simplify]: Simplify x into x 6.926 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.927 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 6.928 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 0) into (pow (sqrt 2) 2) 6.929 * [backup-simplify]: Simplify (sqrt (pow (sqrt 2) 2)) into (sqrt 2) 6.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.930 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 6.930 * [backup-simplify]: Simplify (+ 0 0) into 0 6.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 2) 2)))) into 0 6.931 * [taylor]: Taking taylor expansion of (hypot (/ (sqrt 2) y) (/ 1 x)) in y 6.931 * [taylor]: Rewrote expression to (sqrt (+ (* (/ (sqrt 2) y) (/ (sqrt 2) y)) (* (/ 1 x) (/ 1 x)))) 6.931 * [taylor]: Taking taylor expansion of (+ (* (/ (sqrt 2) y) (/ (sqrt 2) y)) (* (/ 1 x) (/ 1 x))) in y 6.931 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) y) (/ (sqrt 2) y)) in y 6.931 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.931 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.931 * [taylor]: Taking taylor expansion of 2 in y 6.931 * [backup-simplify]: Simplify 2 into 2 6.931 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.932 * [taylor]: Taking taylor expansion of y in y 6.932 * [backup-simplify]: Simplify 0 into 0 6.932 * [backup-simplify]: Simplify 1 into 1 6.932 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.932 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.932 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.932 * [taylor]: Taking taylor expansion of 2 in y 6.932 * [backup-simplify]: Simplify 2 into 2 6.932 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.933 * [taylor]: Taking taylor expansion of y in y 6.933 * [backup-simplify]: Simplify 0 into 0 6.933 * [backup-simplify]: Simplify 1 into 1 6.933 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.933 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.933 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.933 * [taylor]: Taking taylor expansion of x in y 6.933 * [backup-simplify]: Simplify x into x 6.933 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.933 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.933 * [taylor]: Taking taylor expansion of x in y 6.934 * [backup-simplify]: Simplify x into x 6.934 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.934 * [backup-simplify]: Simplify (* (sqrt 2) (sqrt 2)) into (pow (sqrt 2) 2) 6.935 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 0) into (pow (sqrt 2) 2) 6.936 * [backup-simplify]: Simplify (sqrt (pow (sqrt 2) 2)) into (sqrt 2) 6.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.937 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (* 0 (sqrt 2))) into 0 6.938 * [backup-simplify]: Simplify (+ 0 0) into 0 6.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 2) 2)))) into 0 6.938 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.938 * [taylor]: Taking taylor expansion of 2 in x 6.938 * [backup-simplify]: Simplify 2 into 2 6.939 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.939 * [taylor]: Taking taylor expansion of 0 in x 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.940 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.941 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.942 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.942 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2)) 6.943 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.944 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (* (pow x 2) (sqrt 2))) 6.944 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 2))) in x 6.944 * [taylor]: Taking taylor expansion of 1/2 in x 6.944 * [backup-simplify]: Simplify 1/2 into 1/2 6.944 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 2)) in x 6.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.944 * [taylor]: Taking taylor expansion of x in x 6.944 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify 1 into 1 6.944 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.944 * [taylor]: Taking taylor expansion of 2 in x 6.944 * [backup-simplify]: Simplify 2 into 2 6.944 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.945 * [backup-simplify]: Simplify (* 1 1) into 1 6.945 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 6.946 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 6.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 6.947 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.950 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 6.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.951 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0 6.951 * [backup-simplify]: Simplify (+ 0 0) into 0 6.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 6.952 * [taylor]: Taking taylor expansion of 0 in x 6.952 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.954 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 6.954 * [backup-simplify]: Simplify 0 into 0 6.954 * [backup-simplify]: Simplify 0 into 0 6.955 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.955 * [backup-simplify]: Simplify 0 into 0 6.955 * [backup-simplify]: Simplify (* (sqrt 2) (* 1 (/ 1 (/ 1 y)))) into (* (sqrt 2) y) 6.955 * [backup-simplify]: Simplify (hypot (* (sqrt 2) (/ 1 (- y))) (/ 1 (- x))) into (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) 6.956 * [approximate]: Taking taylor expansion of (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) in (y x) around 0 6.956 * [taylor]: Taking taylor expansion of (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) in x 6.956 * [taylor]: Rewrote expression to (sqrt (+ (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) (* (/ -1 x) (/ -1 x)))) 6.956 * [taylor]: Taking taylor expansion of (+ (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) (* (/ -1 x) (/ -1 x))) in x 6.956 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in x 6.956 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 6.956 * [taylor]: Taking taylor expansion of -1 in x 6.956 * [backup-simplify]: Simplify -1 into -1 6.956 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 6.956 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.956 * [taylor]: Taking taylor expansion of 2 in x 6.956 * [backup-simplify]: Simplify 2 into 2 6.956 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.956 * [taylor]: Taking taylor expansion of y in x 6.956 * [backup-simplify]: Simplify y into y 6.957 * [backup-simplify]: Simplify (/ (sqrt 2) y) into (/ (sqrt 2) y) 6.957 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in x 6.957 * [taylor]: Taking taylor expansion of -1 in x 6.957 * [backup-simplify]: Simplify -1 into -1 6.957 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in x 6.957 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.957 * [taylor]: Taking taylor expansion of 2 in x 6.957 * [backup-simplify]: Simplify 2 into 2 6.957 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.957 * [taylor]: Taking taylor expansion of y in x 6.957 * [backup-simplify]: Simplify y into y 6.958 * [backup-simplify]: Simplify (/ (sqrt 2) y) into (/ (sqrt 2) y) 6.958 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.958 * [taylor]: Taking taylor expansion of -1 in x 6.958 * [backup-simplify]: Simplify -1 into -1 6.958 * [taylor]: Taking taylor expansion of x in x 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 1 into 1 6.958 * [backup-simplify]: Simplify (/ -1 1) into -1 6.958 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.958 * [taylor]: Taking taylor expansion of -1 in x 6.958 * [backup-simplify]: Simplify -1 into -1 6.958 * [taylor]: Taking taylor expansion of x in x 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 1 into 1 6.958 * [backup-simplify]: Simplify (/ -1 1) into -1 6.959 * [backup-simplify]: Simplify (* -1 -1) into 1 6.959 * [backup-simplify]: Simplify (+ 0 1) into 1 6.959 * [backup-simplify]: Simplify (sqrt 1) into 1 6.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.960 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.961 * [backup-simplify]: Simplify (+ 0 0) into 0 6.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.961 * [taylor]: Taking taylor expansion of (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) in y 6.961 * [taylor]: Rewrote expression to (sqrt (+ (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) (* (/ -1 x) (/ -1 x)))) 6.961 * [taylor]: Taking taylor expansion of (+ (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) (* (/ -1 x) (/ -1 x))) in y 6.961 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 6.961 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 6.961 * [taylor]: Taking taylor expansion of -1 in y 6.961 * [backup-simplify]: Simplify -1 into -1 6.961 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.961 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.961 * [taylor]: Taking taylor expansion of 2 in y 6.961 * [backup-simplify]: Simplify 2 into 2 6.962 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.962 * [taylor]: Taking taylor expansion of y in y 6.962 * [backup-simplify]: Simplify 0 into 0 6.962 * [backup-simplify]: Simplify 1 into 1 6.963 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.963 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 6.963 * [taylor]: Taking taylor expansion of -1 in y 6.963 * [backup-simplify]: Simplify -1 into -1 6.963 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.963 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.963 * [taylor]: Taking taylor expansion of 2 in y 6.963 * [backup-simplify]: Simplify 2 into 2 6.963 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.963 * [taylor]: Taking taylor expansion of y in y 6.963 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify 1 into 1 6.964 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.964 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.964 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.964 * [taylor]: Taking taylor expansion of -1 in y 6.964 * [backup-simplify]: Simplify -1 into -1 6.964 * [taylor]: Taking taylor expansion of x in y 6.964 * [backup-simplify]: Simplify x into x 6.964 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.964 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.964 * [taylor]: Taking taylor expansion of -1 in y 6.964 * [backup-simplify]: Simplify -1 into -1 6.964 * [taylor]: Taking taylor expansion of x in y 6.964 * [backup-simplify]: Simplify x into x 6.964 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.965 * [backup-simplify]: Simplify (* -1 (sqrt 2)) into (* -1 (sqrt 2)) 6.965 * [backup-simplify]: Simplify (* -1 (sqrt 2)) into (* -1 (sqrt 2)) 6.967 * [backup-simplify]: Simplify (* (* -1 (sqrt 2)) (* -1 (sqrt 2))) into (pow (sqrt 2) 2) 6.968 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 0) into (pow (sqrt 2) 2) 6.969 * [backup-simplify]: Simplify (sqrt (pow (sqrt 2) 2)) into (sqrt 2) 6.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.970 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt 2))) into 0 6.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.971 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt 2))) into 0 6.971 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (* 0 (* -1 (sqrt 2)))) into 0 6.971 * [backup-simplify]: Simplify (+ 0 0) into 0 6.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 2) 2)))) into 0 6.972 * [taylor]: Taking taylor expansion of (hypot (* -1 (/ (sqrt 2) y)) (/ -1 x)) in y 6.972 * [taylor]: Rewrote expression to (sqrt (+ (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) (* (/ -1 x) (/ -1 x)))) 6.972 * [taylor]: Taking taylor expansion of (+ (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) (* (/ -1 x) (/ -1 x))) in y 6.972 * [taylor]: Taking taylor expansion of (* (* -1 (/ (sqrt 2) y)) (* -1 (/ (sqrt 2) y))) in y 6.972 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 6.972 * [taylor]: Taking taylor expansion of -1 in y 6.972 * [backup-simplify]: Simplify -1 into -1 6.972 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.972 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.972 * [taylor]: Taking taylor expansion of 2 in y 6.972 * [backup-simplify]: Simplify 2 into 2 6.972 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.973 * [taylor]: Taking taylor expansion of y in y 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify 1 into 1 6.973 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.973 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt 2) y)) in y 6.973 * [taylor]: Taking taylor expansion of -1 in y 6.973 * [backup-simplify]: Simplify -1 into -1 6.973 * [taylor]: Taking taylor expansion of (/ (sqrt 2) y) in y 6.973 * [taylor]: Taking taylor expansion of (sqrt 2) in y 6.973 * [taylor]: Taking taylor expansion of 2 in y 6.973 * [backup-simplify]: Simplify 2 into 2 6.974 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.974 * [taylor]: Taking taylor expansion of y in y 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 1 into 1 6.975 * [backup-simplify]: Simplify (/ (sqrt 2) 1) into (sqrt 2) 6.975 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.975 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.975 * [taylor]: Taking taylor expansion of -1 in y 6.975 * [backup-simplify]: Simplify -1 into -1 6.975 * [taylor]: Taking taylor expansion of x in y 6.975 * [backup-simplify]: Simplify x into x 6.975 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.975 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.975 * [taylor]: Taking taylor expansion of -1 in y 6.975 * [backup-simplify]: Simplify -1 into -1 6.975 * [taylor]: Taking taylor expansion of x in y 6.975 * [backup-simplify]: Simplify x into x 6.975 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.975 * [backup-simplify]: Simplify (* -1 (sqrt 2)) into (* -1 (sqrt 2)) 6.976 * [backup-simplify]: Simplify (* -1 (sqrt 2)) into (* -1 (sqrt 2)) 6.977 * [backup-simplify]: Simplify (* (* -1 (sqrt 2)) (* -1 (sqrt 2))) into (pow (sqrt 2) 2) 6.978 * [backup-simplify]: Simplify (+ (pow (sqrt 2) 2) 0) into (pow (sqrt 2) 2) 6.979 * [backup-simplify]: Simplify (sqrt (pow (sqrt 2) 2)) into (sqrt 2) 6.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.980 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt 2))) into 0 6.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 6.981 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (sqrt 2))) into 0 6.981 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (* 0 (* -1 (sqrt 2)))) into 0 6.982 * [backup-simplify]: Simplify (+ 0 0) into 0 6.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow (sqrt 2) 2)))) into 0 6.982 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.982 * [taylor]: Taking taylor expansion of 2 in x 6.982 * [backup-simplify]: Simplify 2 into 2 6.983 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.983 * [taylor]: Taking taylor expansion of 0 in x 6.983 * [backup-simplify]: Simplify 0 into 0 6.983 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.984 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.985 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.987 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.987 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (+ (* 0 0) (* 0 (* -1 (sqrt 2))))) into 0 6.988 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2)) 6.988 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.989 * [backup-simplify]: Simplify (/ (- (/ 1 (pow x 2)) (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ 1/2 (* (pow x 2) (sqrt 2))) 6.989 * [taylor]: Taking taylor expansion of (/ 1/2 (* (pow x 2) (sqrt 2))) in x 6.989 * [taylor]: Taking taylor expansion of 1/2 in x 6.989 * [backup-simplify]: Simplify 1/2 into 1/2 6.989 * [taylor]: Taking taylor expansion of (* (pow x 2) (sqrt 2)) in x 6.989 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.989 * [taylor]: Taking taylor expansion of x in x 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 1 into 1 6.989 * [taylor]: Taking taylor expansion of (sqrt 2) in x 6.989 * [taylor]: Taking taylor expansion of 2 in x 6.989 * [backup-simplify]: Simplify 2 into 2 6.989 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.990 * [backup-simplify]: Simplify (* 1 1) into 1 6.990 * [backup-simplify]: Simplify (* 1 (sqrt 2)) into (sqrt 2) 6.991 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 6.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 6.992 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 6.993 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.994 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 6.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 6.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.996 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 6.997 * [backup-simplify]: Simplify (+ (* (* -1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (sqrt 2)))))) into 0 6.997 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 6.997 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 6.997 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0 6.998 * [backup-simplify]: Simplify (+ 0 0) into 0 6.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (pow x 2) (sqrt 2))))))) (* 2 (sqrt 2))) into 0 6.999 * [taylor]: Taking taylor expansion of 0 in x 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 7.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 7.001 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 7.001 * [backup-simplify]: Simplify 0 into 0 7.001 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 7.002 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify (* (sqrt 2) (* 1 (/ 1 (/ 1 (- y))))) into (* -1 (* (sqrt 2) y)) 7.002 * * * [progress]: simplifying candidates 7.003 * [simplify]: Simplifying: (expm1 (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log1p (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y)))) (sqrt (- (+ (* x x) (* y y)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (+ (log (sqrt 2)) (log y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* y y) y)) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (* (* (* (sqrt 2) y) (* (sqrt 2) y)) (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (* (sqrt 2) 1) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (log1p (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (log (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (exp (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (cbrt (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (cbrt (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)))) (cbrt (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (* (* (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y)) (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (sqrt (fma (* 1 (hypot (* (sqrt 2) y) x)) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))) (expm1 (hypot (* (sqrt 2) y) x)) (log1p (hypot (* (sqrt 2) y) x)) (+ (* (* (sqrt 2) y) (* (sqrt 2) y)) (* x x)) (log (hypot (* (sqrt 2) y) x)) (exp (hypot (* (sqrt 2) y) x)) (* (cbrt (hypot (* (sqrt 2) y) x)) (cbrt (hypot (* (sqrt 2) y) x))) (cbrt (hypot (* (sqrt 2) y) x)) (* (* (hypot (* (sqrt 2) y) x) (hypot (* (sqrt 2) y) x)) (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (+ (pow x 2) (+ (* 2 (pow y 2)) (* 1/2 (* (pow (sqrt 2) 2) (pow y 2))))) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) (+ (pow x 2) (+ (pow y 2) (* (pow (sqrt 2) 2) (pow y 2)))) x (* (sqrt 2) y) (* -1 (* (sqrt 2) y)) 7.005 * * [simplify]: Extracting # 0 : cost 0 7.005 * * [simplify]: Extracting # 1 : cost 0 7.005 * * [simplify]: Extracting # 2 : cost 0 7.005 * * [simplify]: Extracting # 3 : cost 0 7.009 * * [simplify]: Extracting # 4 : cost 0 7.009 * * [simplify]: Extracting # 5 : cost 0 7.009 * * [simplify]: Extracting # 6 : cost 0 7.009 * * [simplify]: iteration 0 : 108 enodes (cost 980 ) 7.032 * * [simplify]: Extracting # 0 : cost 0 7.032 * * [simplify]: Extracting # 1 : cost 0 7.032 * * [simplify]: Extracting # 2 : cost 0 7.033 * * [simplify]: Extracting # 3 : cost 0 7.033 * * [simplify]: Extracting # 4 : cost 0 7.033 * * [simplify]: iteration 1 : 217 enodes (cost 846 ) 7.118 * * [simplify]: Extracting # 0 : cost 0 7.119 * * [simplify]: Extracting # 1 : cost 0 7.119 * * [simplify]: Extracting # 2 : cost 0 7.120 * * [simplify]: Extracting # 3 : cost 0 7.120 * * [simplify]: Extracting # 4 : cost 0 7.121 * * [simplify]: iteration 2 : 626 enodes (cost 692 ) 7.880 * * [simplify]: Extracting # 0 : cost 0 7.883 * * [simplify]: Extracting # 1 : cost 0 7.886 * * [simplify]: Extracting # 2 : cost 0 7.888 * * [simplify]: Extracting # 3 : cost 0 7.891 * * [simplify]: Extracting # 4 : cost 0 7.894 * * [simplify]: iteration 3 : 2720 enodes (cost 525 ) 9.155 * * [simplify]: Extracting # 0 : cost 0 9.161 * * [simplify]: Extracting # 1 : cost 0 9.167 * * [simplify]: iteration done: 5000 enodes (cost 523 ) 9.168 * [simplify]: Simplified to: (expm1 (hypot (* (sqrt 2) y) x)) (log1p (hypot (* (sqrt 2) y) x)) (log (hypot x (* (sqrt 2) y))) (exp (hypot x (* (sqrt 2) y))) (* (cbrt (hypot (* (sqrt 2) y) x)) (cbrt (hypot (* (sqrt 2) y) x))) (cbrt (hypot (* (sqrt 2) y) x)) (pow (hypot (* (sqrt 2) y) x) 3) (fabs (cbrt (fma 2 (pow y 2) (* x x)))) (sqrt (cbrt (fma 2 (pow y 2) (* x x)))) (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) 1 (hypot (* (sqrt 2) y) x) (hypot (pow y 3) (pow (fma x x (* y y)) 3/2)) (sqrt (+ (* (* x x) (fma x x (* y y))) (pow y 4))) (sqrt (* (fma 2 (pow y 2) (* x x)) (* x x))) (sqrt (* x x)) 1/2 (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) (expm1 (* (sqrt 2) y)) (log1p (* (sqrt 2) y)) (* (sqrt 2) y) (log (* (sqrt 2) y)) (log (* (sqrt 2) y)) (exp (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (* (cbrt (* (sqrt 2) y)) (cbrt (* (sqrt 2) y))) (cbrt (* (sqrt 2) y)) (pow (* (sqrt 2) y) 3) (sqrt (* (sqrt 2) y)) (sqrt (* (sqrt 2) y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt (sqrt 2)) (sqrt y)) (* (sqrt 2) (* (cbrt y) (cbrt y))) (* (sqrt 2) (sqrt y)) (sqrt 2) (* (cbrt (sqrt 2)) y) (* (sqrt (cbrt 2)) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (* (sqrt (sqrt 2)) y) (* (sqrt 2) y) (expm1 (fma (* 3 y) y (* x x))) (log1p (fma (* 3 y) y (* x x))) (fma y (+ y y) (* x x)) (log (fma 3 (* y y) (* x x))) (exp (fma 3 (* y y) (* x x))) (* (cbrt (fma 3 (* y y) (* x x))) (cbrt (fma 3 (* y y) (* x x)))) (cbrt (fma 3 (* y y) (* x x))) (pow (fma (* 3 y) y (* x x)) 3) (hypot (hypot (* (sqrt 2) y) x) y) (hypot (hypot (* (sqrt 2) y) x) y) (expm1 (hypot (* (sqrt 2) y) x)) (log1p (hypot (* (sqrt 2) y) x)) (fma y (+ y y) (* x x)) (log (hypot x (* (sqrt 2) y))) (exp (hypot x (* (sqrt 2) y))) (* (cbrt (hypot (* (sqrt 2) y) x)) (cbrt (hypot (* (sqrt 2) y) x))) (cbrt (hypot (* (sqrt 2) y) x)) (pow (hypot (* (sqrt 2) y) x) 3) (sqrt (hypot (* (sqrt 2) y) x)) (sqrt (hypot (* (sqrt 2) y) x)) (* (sqrt 2) y) x (- x) (* (sqrt 2) y) (* (sqrt 2) y) (* (sqrt 2) y) (fma (* 3 y) y (* x x)) (fma (* 3 y) y (* x x)) (fma (* 3 y) y (* x x)) x (* (sqrt 2) y) (- (* (sqrt 2) y)) 9.168 * * * [progress]: adding candidates to table 9.390 * [progress]: [Phase 3 of 3] Extracting. 9.390 * * [regime]: Finding splitpoints for: (# # # # # # #) 9.392 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (* x x) y x) 9.392 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # #) 9.417 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # #) 9.445 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 9.473 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 9.500 * * * [regime]: Found split indices: #