25.263 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying: (+ (+ (* x 2.0) (* x x)) (* y y)) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: Extracting # 1 : cost 0 0.049 * * [simplify]: Extracting # 2 : cost 0 0.049 * * [simplify]: Extracting # 3 : cost 0 0.049 * * [simplify]: Extracting # 4 : cost 0 0.049 * * [simplify]: Extracting # 5 : cost 0 0.049 * * [simplify]: iteration 0 : 8 enodes (cost 11 ) 0.052 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: Extracting # 2 : cost 0 0.053 * * [simplify]: Extracting # 3 : cost 0 0.053 * * [simplify]: iteration 1 : 16 enodes (cost 9 ) 0.059 * * [simplify]: Extracting # 0 : cost 0 0.059 * * [simplify]: Extracting # 1 : cost 0 0.059 * * [simplify]: Extracting # 2 : cost 0 0.060 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.071 * * [simplify]: Extracting # 0 : cost 0 0.071 * * [simplify]: Extracting # 1 : cost 0 0.072 * * [simplify]: iteration 3 : 41 enodes (cost 8 ) 0.083 * * [simplify]: Extracting # 0 : cost 0 0.083 * * [simplify]: iteration done: 41 enodes (cost 8 ) 0.084 * [simplify]: Simplified to: (fma x (+ 2.0 x) (* y y)) 0.088 * * [progress]: iteration 1 / 4 0.089 * * * [progress]: picking best candidate 0.095 * * * * [pick]: Picked # 0.095 * * * [progress]: localizing error 0.108 * * * [progress]: generating rewritten candidates 0.108 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.109 * * * [progress]: generating series expansions 0.109 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.109 * [backup-simplify]: Simplify (fma x (+ 2.0 x) (* y y)) into (fma x (+ x 2.0) (pow y 2)) 0.109 * [approximate]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in (x y) around 0 0.110 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in y 0.110 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.110 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [backup-simplify]: Simplify x into x 0.110 * [taylor]: Taking taylor expansion of (+ x 2.0) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [backup-simplify]: Simplify x into x 0.110 * [taylor]: Taking taylor expansion of 2.0 in y 0.110 * [backup-simplify]: Simplify 2.0 into 2.0 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in x 0.110 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.110 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of 2.0 in x 0.111 * [backup-simplify]: Simplify 2.0 into 2.0 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.111 * [taylor]: Taking taylor expansion of (fma x (+ x 2.0) (pow y 2)) in x 0.111 * [taylor]: Rewrote expression to (+ (* x (+ x 2.0)) (pow y 2)) 0.111 * [taylor]: Taking taylor expansion of (* x (+ x 2.0)) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of 2.0 in x 0.111 * [backup-simplify]: Simplify 2.0 into 2.0 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.113 * [backup-simplify]: Simplify (* 0 2.0) into 0 0.113 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.113 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.131 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 2.0)) into 2.0 0.131 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.132 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.132 * [taylor]: Taking taylor expansion of 2.0 in y 0.132 * [backup-simplify]: Simplify 2.0 into 2.0 0.132 * [backup-simplify]: Simplify 2.0 into 2.0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 2.0))) into 1 0.135 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [taylor]: Taking taylor expansion of 1 in y 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 1 (pow (* 1 x) 2)) (* 2.0 (* 1 x)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.137 * [backup-simplify]: Simplify (fma (/ 1 x) (+ 2.0 (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) 0.137 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in (x y) around 0 0.137 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in y 0.137 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.137 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [backup-simplify]: Simplify x into x 0.137 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [backup-simplify]: Simplify x into x 0.138 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.138 * [taylor]: Taking taylor expansion of 2.0 in y 0.138 * [backup-simplify]: Simplify 2.0 into 2.0 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in x 0.138 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.138 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of 2.0 in x 0.139 * [backup-simplify]: Simplify 2.0 into 2.0 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.139 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.139 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 x) 2.0) (/ 1 (pow y 2))) in x 0.139 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 x) 2.0)) (/ 1 (pow y 2))) 0.139 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 x) 2.0)) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [taylor]: Taking taylor expansion of 2.0 in x 0.140 * [backup-simplify]: Simplify 2.0 into 2.0 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.140 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.140 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 2.0) (* 0 1)) into 2.0 0.143 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.144 * [taylor]: Taking taylor expansion of 2.0 in y 0.144 * [backup-simplify]: Simplify 2.0 into 2.0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 2.0) (* 0 1))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 2.0 into 2.0 0.150 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.150 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (+ 2.0 (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) 0.150 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in (x y) around 0 0.150 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in y 0.150 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.150 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in y 0.150 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.150 * [taylor]: Taking taylor expansion of -1 in y 0.150 * [backup-simplify]: Simplify -1 into -1 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [backup-simplify]: Simplify x into x 0.150 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.150 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in y 0.150 * [taylor]: Taking taylor expansion of 2.0 in y 0.150 * [backup-simplify]: Simplify 2.0 into 2.0 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.151 * [backup-simplify]: Simplify x into x 0.151 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.151 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.151 * [taylor]: Taking taylor expansion of -1 in x 0.151 * [backup-simplify]: Simplify -1 into -1 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ -1 1) into -1 0.152 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of 2.0 in x 0.152 * [backup-simplify]: Simplify 2.0 into 2.0 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.152 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.152 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.152 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.152 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.152 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- 2.0 (/ 1 x))) in x 0.152 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.152 * [taylor]: Taking taylor expansion of -1 in x 0.152 * [backup-simplify]: Simplify -1 into -1 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ -1 1) into -1 0.153 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of 2.0 in x 0.153 * [backup-simplify]: Simplify 2.0 into 2.0 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [backup-simplify]: Simplify y into y 0.153 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.153 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.154 * [backup-simplify]: Simplify (- 1) into -1 0.154 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.154 * [backup-simplify]: Simplify (* -1 -1) into 1 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [taylor]: Taking taylor expansion of 1 in y 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* -1 2.0) (* 0 -1)) into (- 2.0) 0.157 * [backup-simplify]: Simplify (+ (- 2.0) 0) into (- 2.0) 0.157 * [taylor]: Taking taylor expansion of (- 2.0) in y 0.157 * [taylor]: Taking taylor expansion of 2.0 in y 0.157 * [backup-simplify]: Simplify 2.0 into 2.0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- 0) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 2.0) (* 0 -1))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (* 1 1) into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (- 0) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))) into 0 0.163 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.165 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.165 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.165 * * * [progress]: simplifying candidates 0.166 * [simplify]: Simplifying: (expm1 (fma x (+ 2.0 x) (* y y))) (log1p (fma x (+ 2.0 x) (* y y))) (* x (+ 2.0 x)) (log (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (* (cbrt (fma x (+ 2.0 x) (* y y))) (cbrt (fma x (+ 2.0 x) (* y y)))) (cbrt (fma x (+ 2.0 x) (* y y))) (* (* (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y))) (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 0.166 * * [simplify]: Extracting # 0 : cost 0 0.166 * * [simplify]: Extracting # 1 : cost 0 0.166 * * [simplify]: Extracting # 2 : cost 0 0.167 * * [simplify]: Extracting # 3 : cost 0 0.167 * * [simplify]: Extracting # 4 : cost 0 0.167 * * [simplify]: Extracting # 5 : cost 0 0.167 * * [simplify]: Extracting # 6 : cost 0 0.167 * * [simplify]: iteration 0 : 22 enodes (cost 146 ) 0.176 * * [simplify]: Extracting # 0 : cost 0 0.176 * * [simplify]: Extracting # 1 : cost 0 0.176 * * [simplify]: Extracting # 2 : cost 0 0.176 * * [simplify]: Extracting # 3 : cost 0 0.176 * * [simplify]: iteration 1 : 41 enodes (cost 143 ) 0.193 * * [simplify]: Extracting # 0 : cost 0 0.193 * * [simplify]: Extracting # 1 : cost 0 0.194 * * [simplify]: Extracting # 2 : cost 0 0.194 * * [simplify]: Extracting # 3 : cost 0 0.194 * * [simplify]: iteration 2 : 85 enodes (cost 121 ) 0.216 * * [simplify]: Extracting # 0 : cost 0 0.216 * * [simplify]: Extracting # 1 : cost 0 0.216 * * [simplify]: Extracting # 2 : cost 0 0.216 * * [simplify]: Extracting # 3 : cost 0 0.217 * * [simplify]: Extracting # 4 : cost 0 0.217 * * [simplify]: iteration 3 : 294 enodes (cost 121 ) 0.641 * * [simplify]: Extracting # 0 : cost 0 0.643 * * [simplify]: Extracting # 1 : cost 0 0.645 * * [simplify]: Extracting # 2 : cost 0 0.646 * * [simplify]: Extracting # 3 : cost 0 0.647 * * [simplify]: Extracting # 4 : cost 0 0.648 * * [simplify]: iteration 4 : 1578 enodes (cost 121 ) 1.451 * * [simplify]: Extracting # 0 : cost 0 1.457 * * [simplify]: Extracting # 1 : cost 0 1.463 * * [simplify]: Extracting # 2 : cost 0 1.473 * * [simplify]: Extracting # 3 : cost 0 1.490 * * [simplify]: Extracting # 4 : cost 0 1.502 * * [simplify]: iteration done: 5000 enodes (cost 121 ) 1.502 * [simplify]: Simplified to: (expm1 (fma x (+ 2.0 x) (* y y))) (log1p (fma x (+ 2.0 x) (* y y))) (* (+ 2.0 x) x) (log (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (* (cbrt (fma x (+ 2.0 x) (* y y))) (cbrt (fma x (+ 2.0 x) (* y y)))) (cbrt (fma x (+ 2.0 x) (* y y))) (pow (fma x (+ 2.0 x) (* y y)) 3) (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y)) 1.502 * * * [progress]: adding candidates to table 1.531 * * [progress]: iteration 2 / 4 1.531 * * * [progress]: picking best candidate 1.534 * * * * [pick]: Picked # 1.534 * * * [progress]: localizing error 1.542 * * * [progress]: generating rewritten candidates 1.542 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.605 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.614 * * * [progress]: generating series expansions 1.614 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.614 * [backup-simplify]: Simplify (+ (+ (* x 2.0) (* x x)) (* y y)) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 1.614 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in (x y) around 0 1.614 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in y 1.614 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.614 * [taylor]: Taking taylor expansion of x in y 1.614 * [backup-simplify]: Simplify x into x 1.614 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in y 1.614 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.614 * [taylor]: Taking taylor expansion of 2.0 in y 1.614 * [backup-simplify]: Simplify 2.0 into 2.0 1.614 * [taylor]: Taking taylor expansion of x in y 1.614 * [backup-simplify]: Simplify x into x 1.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.614 * [taylor]: Taking taylor expansion of y in y 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 1.614 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 1.614 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.614 * [taylor]: Taking taylor expansion of 2.0 in x 1.615 * [backup-simplify]: Simplify 2.0 into 2.0 1.615 * [taylor]: Taking taylor expansion of x in x 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.615 * [taylor]: Taking taylor expansion of y in x 1.615 * [backup-simplify]: Simplify y into y 1.615 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) in x 1.615 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) (pow y 2)) in x 1.615 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.615 * [taylor]: Taking taylor expansion of 2.0 in x 1.615 * [backup-simplify]: Simplify 2.0 into 2.0 1.615 * [taylor]: Taking taylor expansion of x in x 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.615 * [taylor]: Taking taylor expansion of y in x 1.615 * [backup-simplify]: Simplify y into y 1.615 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.616 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.616 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.616 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.616 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.616 * [taylor]: Taking taylor expansion of y in y 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.617 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.617 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.617 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 1.617 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.617 * [taylor]: Taking taylor expansion of 2.0 in y 1.617 * [backup-simplify]: Simplify 2.0 into 2.0 1.618 * [backup-simplify]: Simplify 2.0 into 2.0 1.618 * [backup-simplify]: Simplify (* 1 1) into 1 1.618 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.619 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.619 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [backup-simplify]: Simplify (+ 1 0) into 1 1.619 * [taylor]: Taking taylor expansion of 1 in y 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (* 1 1) into 1 1.619 * [backup-simplify]: Simplify 1 into 1 1.620 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 1 (pow (* 1 x) 2)) (* 2.0 (* 1 x)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 1.620 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) 2.0) (* (/ 1 x) (/ 1 x))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) 1.620 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in (x y) around 0 1.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in y 1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.620 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.620 * [taylor]: Taking taylor expansion of x in y 1.620 * [backup-simplify]: Simplify x into x 1.620 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.620 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in y 1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.620 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.620 * [taylor]: Taking taylor expansion of y in y 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (* 1 1) into 1 1.621 * [backup-simplify]: Simplify (/ 1 1) into 1 1.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.621 * [taylor]: Taking taylor expansion of 2.0 in y 1.621 * [backup-simplify]: Simplify 2.0 into 2.0 1.621 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.621 * [taylor]: Taking taylor expansion of x in y 1.621 * [backup-simplify]: Simplify x into x 1.621 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.621 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (* 1 1) into 1 1.622 * [backup-simplify]: Simplify (/ 1 1) into 1 1.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.622 * [taylor]: Taking taylor expansion of y in x 1.622 * [backup-simplify]: Simplify y into y 1.622 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.622 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.622 * [taylor]: Taking taylor expansion of 2.0 in x 1.622 * [backup-simplify]: Simplify 2.0 into 2.0 1.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.623 * [backup-simplify]: Simplify (/ 1 1) into 1 1.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x)))) in x 1.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.623 * [taylor]: Taking taylor expansion of x in x 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 1 into 1 1.623 * [backup-simplify]: Simplify (* 1 1) into 1 1.624 * [backup-simplify]: Simplify (/ 1 1) into 1 1.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 x))) in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.624 * [taylor]: Taking taylor expansion of y in x 1.624 * [backup-simplify]: Simplify y into y 1.624 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.624 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.624 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.624 * [taylor]: Taking taylor expansion of 2.0 in x 1.624 * [backup-simplify]: Simplify 2.0 into 2.0 1.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (/ 1 1) into 1 1.625 * [backup-simplify]: Simplify (+ 1 0) into 1 1.625 * [taylor]: Taking taylor expansion of 1 in y 1.625 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.627 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.628 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.628 * [taylor]: Taking taylor expansion of 2.0 in y 1.628 * [backup-simplify]: Simplify 2.0 into 2.0 1.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.632 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.632 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.632 * [taylor]: Taking taylor expansion of y in y 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [backup-simplify]: Simplify (* 1 1) into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.638 * [taylor]: Taking taylor expansion of 0 in y 1.638 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 2.0 into 2.0 1.640 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 1.641 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) 2.0) (* (/ 1 (- x)) (/ 1 (- x)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 1.641 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0 1.641 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.641 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.641 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.641 * [taylor]: Taking taylor expansion of x in y 1.641 * [backup-simplify]: Simplify x into x 1.641 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.641 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.641 * [taylor]: Taking taylor expansion of y in y 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.642 * [backup-simplify]: Simplify (* 1 1) into 1 1.642 * [backup-simplify]: Simplify (/ 1 1) into 1 1.642 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.642 * [taylor]: Taking taylor expansion of 2.0 in y 1.642 * [backup-simplify]: Simplify 2.0 into 2.0 1.642 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.642 * [taylor]: Taking taylor expansion of x in y 1.642 * [backup-simplify]: Simplify x into x 1.642 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.642 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 1.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.642 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.643 * [taylor]: Taking taylor expansion of x in x 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (* 1 1) into 1 1.643 * [backup-simplify]: Simplify (/ 1 1) into 1 1.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.643 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.643 * [taylor]: Taking taylor expansion of y in x 1.643 * [backup-simplify]: Simplify y into y 1.644 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.644 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.644 * [taylor]: Taking taylor expansion of 2.0 in x 1.644 * [backup-simplify]: Simplify 2.0 into 2.0 1.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (/ 1 1) into 1 1.644 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (* 1 1) into 1 1.645 * [backup-simplify]: Simplify (/ 1 1) into 1 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.645 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.645 * [taylor]: Taking taylor expansion of y in x 1.645 * [backup-simplify]: Simplify y into y 1.645 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.646 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.646 * [taylor]: Taking taylor expansion of 2.0 in x 1.646 * [backup-simplify]: Simplify 2.0 into 2.0 1.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.646 * [taylor]: Taking taylor expansion of x in x 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [backup-simplify]: Simplify (+ 1 0) into 1 1.647 * [backup-simplify]: Simplify (+ 1 0) into 1 1.647 * [taylor]: Taking taylor expansion of 1 in y 1.647 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (+ 0 0) into 0 1.649 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.650 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.650 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.650 * [taylor]: Taking taylor expansion of (- 2.0) in y 1.651 * [taylor]: Taking taylor expansion of 2.0 in y 1.651 * [backup-simplify]: Simplify 2.0 into 2.0 1.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.655 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.656 * [backup-simplify]: Simplify (- 0) into 0 1.656 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.656 * [taylor]: Taking taylor expansion of y in y 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify (* 1 1) into 1 1.657 * [backup-simplify]: Simplify (/ 1 1) into 1 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [backup-simplify]: Simplify 1 into 1 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.660 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.662 * [backup-simplify]: Simplify (- 0) into 0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.663 * [taylor]: Taking taylor expansion of 0 in y 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.665 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.666 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 1.666 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.667 * [backup-simplify]: Simplify (+ (* x 2.0) (* x x)) into (+ (pow x 2) (* 2.0 x)) 1.667 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in (x) around 0 1.667 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 1.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.667 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.667 * [taylor]: Taking taylor expansion of 2.0 in x 1.667 * [backup-simplify]: Simplify 2.0 into 2.0 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.667 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 1.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.667 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.667 * [taylor]: Taking taylor expansion of 2.0 in x 1.667 * [backup-simplify]: Simplify 2.0 into 2.0 1.667 * [taylor]: Taking taylor expansion of x in x 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.668 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.670 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.670 * [backup-simplify]: Simplify 2.0 into 2.0 1.671 * [backup-simplify]: Simplify (* 1 1) into 1 1.672 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.672 * [backup-simplify]: Simplify (+ 1 0) into 1 1.672 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.674 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.674 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.677 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.677 * [backup-simplify]: Simplify (+ 0 0) into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.691 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.695 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.695 * [backup-simplify]: Simplify (+ 0 0) into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.698 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1.699 * [backup-simplify]: Simplify (+ 0 0) into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 1.700 * [backup-simplify]: Simplify (+ (* (/ 1 x) 2.0) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1.700 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 1.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 1.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.700 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.700 * [taylor]: Taking taylor expansion of x in x 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 1 into 1 1.700 * [backup-simplify]: Simplify (* 1 1) into 1 1.701 * [backup-simplify]: Simplify (/ 1 1) into 1 1.701 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.701 * [taylor]: Taking taylor expansion of 2.0 in x 1.701 * [backup-simplify]: Simplify 2.0 into 2.0 1.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify (/ 1 1) into 1 1.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 1.701 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.701 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.702 * [backup-simplify]: Simplify (* 1 1) into 1 1.702 * [backup-simplify]: Simplify (/ 1 1) into 1 1.702 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.702 * [taylor]: Taking taylor expansion of 2.0 in x 1.702 * [backup-simplify]: Simplify 2.0 into 2.0 1.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (/ 1 1) into 1 1.703 * [backup-simplify]: Simplify (+ 1 0) into 1 1.703 * [backup-simplify]: Simplify 1 into 1 1.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.705 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 1.706 * [backup-simplify]: Simplify 2.0 into 2.0 1.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.714 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.719 * [backup-simplify]: Simplify (+ 0 0) into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.723 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.735 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.735 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) (* 2.0 x)) 1.736 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) 2.0) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 1.736 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 1.736 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 1.736 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.736 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.736 * [taylor]: Taking taylor expansion of x in x 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (* 1 1) into 1 1.737 * [backup-simplify]: Simplify (/ 1 1) into 1 1.737 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.737 * [taylor]: Taking taylor expansion of 2.0 in x 1.737 * [backup-simplify]: Simplify 2.0 into 2.0 1.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (/ 1 1) into 1 1.738 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 1.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.738 * [taylor]: Taking taylor expansion of x in x 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [backup-simplify]: Simplify (* 1 1) into 1 1.739 * [backup-simplify]: Simplify (/ 1 1) into 1 1.739 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.739 * [taylor]: Taking taylor expansion of 2.0 in x 1.739 * [backup-simplify]: Simplify 2.0 into 2.0 1.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (/ 1 1) into 1 1.740 * [backup-simplify]: Simplify (+ 1 0) into 1 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.742 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.742 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 1.743 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.746 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.746 * [backup-simplify]: Simplify (- 0) into 0 1.746 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.750 * [backup-simplify]: Simplify (- 0) into 0 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.751 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.755 * [backup-simplify]: Simplify (- 0) into 0 1.755 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.759 * [backup-simplify]: Simplify (- 0) into 0 1.760 * [backup-simplify]: Simplify (+ 0 0) into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.764 * [backup-simplify]: Simplify (- 0) into 0 1.765 * [backup-simplify]: Simplify (+ 0 0) into 0 1.765 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.770 * [backup-simplify]: Simplify (- 0) into 0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) (* 2.0 x)) 1.771 * * * [progress]: simplifying candidates 1.772 * [simplify]: Simplifying: (expm1 (+ (+ (* x 2.0) (* x x)) (* y y))) (log1p (+ (+ (* x 2.0) (* x x)) (* y y))) (* (* (exp (* x 2.0)) (exp (* x x))) (exp (* y y))) (* (exp (+ (* x 2.0) (* x x))) (exp (* y y))) (log (+ (+ (* x 2.0) (* x x)) (* y y))) (exp (+ (+ (* x 2.0) (* x x)) (* y y))) (* (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y)))) (cbrt (+ (+ (* x 2.0) (* x x)) (* y y))) (* (* (+ (+ (* x 2.0) (* x x)) (* y y)) (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (sqrt (+ (+ (* x 2.0) (* x x)) (* y y))) (+ (pow (+ (* x 2.0) (* x x)) 3) (pow (* y y) 3)) (+ (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (- (* (* y y) (* y y)) (* (+ (* x 2.0) (* x x)) (* y y)))) (- (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (* (* y y) (* y y))) (- (+ (* x 2.0) (* x x)) (* y y)) (+ (* x x) (* y y)) (expm1 (+ (* x 2.0) (* x x))) (log1p (+ (* x 2.0) (* x x))) (* (exp (* x 2.0)) (exp (* x x))) (log (+ (* x 2.0) (* x x))) (exp (+ (* x 2.0) (* x x))) (* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x)))) (cbrt (+ (* x 2.0) (* x x))) (* (* (+ (* x 2.0) (* x x)) (+ (* x 2.0) (* x x))) (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (sqrt (+ (* x 2.0) (* x x))) (+ (pow (* x 2.0) 3) (pow (* x x) 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* (* x x) (* x x)) (* (* x 2.0) (* x x)))) (- (* (* x 2.0) (* x 2.0)) (* (* x x) (* x x))) (- (* x 2.0) (* x x)) (+ 2.0 x) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) 1.774 * * [simplify]: Extracting # 0 : cost 0 1.774 * * [simplify]: Extracting # 1 : cost 0 1.774 * * [simplify]: Extracting # 2 : cost 0 1.774 * * [simplify]: Extracting # 3 : cost 0 1.774 * * [simplify]: Extracting # 4 : cost 0 1.774 * * [simplify]: Extracting # 5 : cost 0 1.774 * * [simplify]: iteration 0 : 61 enodes (cost 480 ) 1.805 * * [simplify]: Extracting # 0 : cost 0 1.806 * * [simplify]: Extracting # 1 : cost 0 1.806 * * [simplify]: Extracting # 2 : cost 0 1.806 * * [simplify]: Extracting # 3 : cost 0 1.807 * * [simplify]: Extracting # 4 : cost 0 1.807 * * [simplify]: iteration 1 : 195 enodes (cost 369 ) 1.930 * * [simplify]: Extracting # 0 : cost 0 1.931 * * [simplify]: Extracting # 1 : cost 0 1.931 * * [simplify]: Extracting # 2 : cost 0 1.932 * * [simplify]: Extracting # 3 : cost 0 1.933 * * [simplify]: Extracting # 4 : cost 0 1.934 * * [simplify]: iteration 2 : 748 enodes (cost 323 ) 2.770 * * [simplify]: Extracting # 0 : cost 0 2.777 * * [simplify]: Extracting # 1 : cost 0 2.794 * * [simplify]: Extracting # 2 : cost 0 2.801 * * [simplify]: Extracting # 3 : cost 0 2.804 * * [simplify]: Extracting # 4 : cost 0 2.807 * * [simplify]: iteration 3 : 3179 enodes (cost 317 ) 4.001 * * [simplify]: Extracting # 0 : cost 0 4.013 * * [simplify]: Extracting # 1 : cost 0 4.023 * * [simplify]: Extracting # 2 : cost 0 4.034 * * [simplify]: iteration done: 5000 enodes (cost 316 ) 4.035 * [simplify]: Simplified to: (expm1 (fma y y (* x (+ 2.0 x)))) (log1p (fma y y (* x (+ 2.0 x)))) (exp (fma y y (* x (+ 2.0 x)))) (exp (fma y y (* x (+ 2.0 x)))) (log (fma y y (* x (+ 2.0 x)))) (exp (fma y y (* x (+ 2.0 x)))) (* (cbrt (fma y y (* x (+ 2.0 x)))) (cbrt (fma y y (* x (+ 2.0 x))))) (cbrt (fma y y (* x (+ 2.0 x)))) (pow (fma y y (* x (+ 2.0 x))) 3) (sqrt (fma y y (* x (+ 2.0 x)))) (sqrt (fma y y (* x (+ 2.0 x)))) (+ (pow (* x (+ 2.0 x)) 3) (pow y 6)) (fma (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (* y y)) (pow y 4)) (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (pow y 4)) (- (* x (+ 2.0 x)) (* y y)) (fma x x (* y y)) (expm1 (* x (+ 2.0 x))) (log1p (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (+ (pow x 6) (pow (* x 2.0) 3)) (* (* x x) (fma 2.0 2.0 (* x (- x 2.0)))) (* (* x (+ 2.0 x)) (* x (- 2.0 x))) (* x (- 2.0 x)) (+ 2.0 x) (fma y y (* x (+ 2.0 x))) (fma y y (* x (+ 2.0 x))) (fma y y (* x (+ 2.0 x))) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) 4.035 * * * [progress]: adding candidates to table 4.180 * * [progress]: iteration 3 / 4 4.180 * * * [progress]: picking best candidate 4.183 * * * * [pick]: Picked # 4.183 * * * [progress]: localizing error 4.190 * * * [progress]: generating rewritten candidates 4.190 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.190 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3) 4.230 * * * [progress]: generating series expansions 4.231 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.231 * [backup-simplify]: Simplify (fma y y (* x (+ 2.0 x))) into (fma y y (* (+ x 2.0) x)) 4.231 * [approximate]: Taking taylor expansion of (fma y y (* (+ x 2.0) x)) in (y x) around 0 4.231 * [taylor]: Taking taylor expansion of (fma y y (* (+ x 2.0) x)) in x 4.231 * [taylor]: Rewrote expression to (+ (* y y) (* (+ x 2.0) x)) 4.231 * [taylor]: Taking taylor expansion of (* y y) in x 4.231 * [taylor]: Taking taylor expansion of y in x 4.231 * [backup-simplify]: Simplify y into y 4.231 * [taylor]: Taking taylor expansion of y in x 4.231 * [backup-simplify]: Simplify y into y 4.231 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 4.231 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 4.231 * [taylor]: Taking taylor expansion of x in x 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [taylor]: Taking taylor expansion of 2.0 in x 4.232 * [backup-simplify]: Simplify 2.0 into 2.0 4.232 * [taylor]: Taking taylor expansion of x in x 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [taylor]: Taking taylor expansion of (fma y y (* (+ x 2.0) x)) in y 4.232 * [taylor]: Rewrote expression to (+ (* y y) (* (+ x 2.0) x)) 4.232 * [taylor]: Taking taylor expansion of (* y y) in y 4.232 * [taylor]: Taking taylor expansion of y in y 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [taylor]: Taking taylor expansion of y in y 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in y 4.232 * [taylor]: Taking taylor expansion of (+ x 2.0) in y 4.232 * [taylor]: Taking taylor expansion of x in y 4.232 * [backup-simplify]: Simplify x into x 4.232 * [taylor]: Taking taylor expansion of 2.0 in y 4.232 * [backup-simplify]: Simplify 2.0 into 2.0 4.232 * [taylor]: Taking taylor expansion of x in y 4.232 * [backup-simplify]: Simplify x into x 4.232 * [taylor]: Taking taylor expansion of (fma y y (* (+ x 2.0) x)) in y 4.232 * [taylor]: Rewrote expression to (+ (* y y) (* (+ x 2.0) x)) 4.233 * [taylor]: Taking taylor expansion of (* y y) in y 4.233 * [taylor]: Taking taylor expansion of y in y 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 1 into 1 4.233 * [taylor]: Taking taylor expansion of y in y 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 1 into 1 4.233 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in y 4.233 * [taylor]: Taking taylor expansion of (+ x 2.0) in y 4.233 * [taylor]: Taking taylor expansion of x in y 4.233 * [backup-simplify]: Simplify x into x 4.233 * [taylor]: Taking taylor expansion of 2.0 in y 4.233 * [backup-simplify]: Simplify 2.0 into 2.0 4.233 * [taylor]: Taking taylor expansion of x in y 4.233 * [backup-simplify]: Simplify x into x 4.234 * [backup-simplify]: Simplify (* 0 0) into 0 4.234 * [backup-simplify]: Simplify (+ x 2.0) into (+ x 2.0) 4.234 * [backup-simplify]: Simplify (* (+ x 2.0) x) into (* (+ x 2.0) x) 4.235 * [backup-simplify]: Simplify (+ 0 (* (+ x 2.0) x)) into (+ (pow x 2) (* 2.0 x)) 4.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 4.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.235 * [taylor]: Taking taylor expansion of x in x 4.235 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify 1 into 1 4.235 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 4.235 * [taylor]: Taking taylor expansion of 2.0 in x 4.235 * [backup-simplify]: Simplify 2.0 into 2.0 4.235 * [taylor]: Taking taylor expansion of x in x 4.235 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify 1 into 1 4.235 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.236 * [backup-simplify]: Simplify (+ 0 0) into 0 4.236 * [backup-simplify]: Simplify 0 into 0 4.237 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.237 * [backup-simplify]: Simplify (+ 0 0) into 0 4.237 * [backup-simplify]: Simplify (+ (* (+ x 2.0) 0) (* 0 x)) into 0 4.237 * [backup-simplify]: Simplify (+ 0 0) into 0 4.238 * [taylor]: Taking taylor expansion of 0 in x 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 4.240 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 4.240 * [backup-simplify]: Simplify 2.0 into 2.0 4.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.241 * [backup-simplify]: Simplify (+ 0 0) into 0 4.241 * [backup-simplify]: Simplify (+ (* (+ x 2.0) 0) (+ (* 0 0) (* 0 x))) into 0 4.242 * [backup-simplify]: Simplify (+ 1 0) into 1 4.242 * [taylor]: Taking taylor expansion of 1 in x 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify (* 1 1) into 1 4.243 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 4.244 * [backup-simplify]: Simplify (+ 1 0) into 1 4.244 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 1 (pow (* 1 y) 2)) (* 2.0 (* x 1)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 4.245 * [backup-simplify]: Simplify (fma (/ 1 y) (/ 1 y) (* (/ 1 x) (+ 2.0 (/ 1 x)))) into (fma (/ 1 y) (/ 1 y) (/ (+ (/ 1 x) 2.0) x)) 4.245 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ (+ (/ 1 x) 2.0) x)) in (y x) around 0 4.245 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ (+ (/ 1 x) 2.0) x)) in x 4.245 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ (+ (/ 1 x) 2.0) x)) 4.245 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 4.245 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.245 * [taylor]: Taking taylor expansion of y in x 4.245 * [backup-simplify]: Simplify y into y 4.245 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.245 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.245 * [taylor]: Taking taylor expansion of y in x 4.245 * [backup-simplify]: Simplify y into y 4.245 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.245 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 4.245 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 4.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.245 * [taylor]: Taking taylor expansion of x in x 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 1 into 1 4.246 * [backup-simplify]: Simplify (/ 1 1) into 1 4.246 * [taylor]: Taking taylor expansion of 2.0 in x 4.246 * [backup-simplify]: Simplify 2.0 into 2.0 4.246 * [taylor]: Taking taylor expansion of x in x 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 1 into 1 4.246 * [backup-simplify]: Simplify (+ 1 0) into 1 4.247 * [backup-simplify]: Simplify (/ 1 1) into 1 4.247 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ (+ (/ 1 x) 2.0) x)) in y 4.247 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ (+ (/ 1 x) 2.0) x)) 4.247 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 4.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.247 * [taylor]: Taking taylor expansion of y in y 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (/ 1 1) into 1 4.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.248 * [taylor]: Taking taylor expansion of y in y 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (/ 1 1) into 1 4.248 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in y 4.248 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in y 4.248 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.248 * [taylor]: Taking taylor expansion of x in y 4.248 * [backup-simplify]: Simplify x into x 4.249 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.249 * [taylor]: Taking taylor expansion of 2.0 in y 4.249 * [backup-simplify]: Simplify 2.0 into 2.0 4.249 * [taylor]: Taking taylor expansion of x in y 4.249 * [backup-simplify]: Simplify x into x 4.249 * [backup-simplify]: Simplify (+ (/ 1 x) 2.0) into (+ 2.0 (/ 1 x)) 4.249 * [backup-simplify]: Simplify (/ (+ 2.0 (/ 1 x)) x) into (/ (+ (/ 1 x) 2.0) x) 4.249 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ (+ (/ 1 x) 2.0) x)) in y 4.249 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ (+ (/ 1 x) 2.0) x)) 4.249 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 4.249 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.249 * [taylor]: Taking taylor expansion of y in y 4.249 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify 1 into 1 4.250 * [backup-simplify]: Simplify (/ 1 1) into 1 4.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.250 * [taylor]: Taking taylor expansion of y in y 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify 1 into 1 4.250 * [backup-simplify]: Simplify (/ 1 1) into 1 4.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in y 4.251 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in y 4.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.251 * [taylor]: Taking taylor expansion of x in y 4.251 * [backup-simplify]: Simplify x into x 4.251 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.251 * [taylor]: Taking taylor expansion of 2.0 in y 4.251 * [backup-simplify]: Simplify 2.0 into 2.0 4.251 * [taylor]: Taking taylor expansion of x in y 4.251 * [backup-simplify]: Simplify x into x 4.251 * [backup-simplify]: Simplify (+ (/ 1 x) 2.0) into (+ 2.0 (/ 1 x)) 4.251 * [backup-simplify]: Simplify (/ (+ 2.0 (/ 1 x)) x) into (/ (+ (/ 1 x) 2.0) x) 4.252 * [backup-simplify]: Simplify (* 1 1) into 1 4.252 * [backup-simplify]: Simplify (+ 1 0) into 1 4.252 * [taylor]: Taking taylor expansion of 1 in x 4.252 * [backup-simplify]: Simplify 1 into 1 4.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.255 * [backup-simplify]: Simplify (+ 0 0) into 0 4.255 * [taylor]: Taking taylor expansion of 0 in x 4.255 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.259 * [backup-simplify]: Simplify (+ 0 (/ (+ (/ 1 x) 2.0) x)) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 4.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 4.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.259 * [taylor]: Taking taylor expansion of x in x 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify (* 1 1) into 1 4.260 * [backup-simplify]: Simplify (/ 1 1) into 1 4.260 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 4.260 * [taylor]: Taking taylor expansion of 2.0 in x 4.260 * [backup-simplify]: Simplify 2.0 into 2.0 4.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.260 * [taylor]: Taking taylor expansion of x in x 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 1 into 1 4.260 * [backup-simplify]: Simplify (/ 1 1) into 1 4.261 * [backup-simplify]: Simplify (+ 1 0) into 1 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify 1 into 1 4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.264 * [backup-simplify]: Simplify (+ 0 0) into 0 4.265 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ (+ (/ 1 x) 2.0) x) (/ 0 x)))) into 0 4.265 * [backup-simplify]: Simplify (+ 0 0) into 0 4.265 * [taylor]: Taking taylor expansion of 0 in x 4.265 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.267 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 4.267 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 4.267 * [backup-simplify]: Simplify 2.0 into 2.0 4.268 * [backup-simplify]: Simplify (+ (* 2.0 (* (/ 1 (/ 1 x)) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 4.269 * [backup-simplify]: Simplify (fma (/ 1 (- y)) (/ 1 (- y)) (* (/ 1 (- x)) (+ 2.0 (/ 1 (- x))))) into (fma (/ -1 y) (/ -1 y) (* -1 (/ (- 2.0 (/ 1 x)) x))) 4.269 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (* -1 (/ (- 2.0 (/ 1 x)) x))) in (y x) around 0 4.269 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (* -1 (/ (- 2.0 (/ 1 x)) x))) in x 4.269 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (* -1 (/ (- 2.0 (/ 1 x)) x))) 4.269 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 4.269 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.269 * [taylor]: Taking taylor expansion of -1 in x 4.269 * [backup-simplify]: Simplify -1 into -1 4.269 * [taylor]: Taking taylor expansion of y in x 4.269 * [backup-simplify]: Simplify y into y 4.269 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 4.269 * [taylor]: Taking taylor expansion of (/ -1 y) in x 4.269 * [taylor]: Taking taylor expansion of -1 in x 4.269 * [backup-simplify]: Simplify -1 into -1 4.269 * [taylor]: Taking taylor expansion of y in x 4.269 * [backup-simplify]: Simplify y into y 4.269 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 4.269 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 4.269 * [taylor]: Taking taylor expansion of -1 in x 4.270 * [backup-simplify]: Simplify -1 into -1 4.270 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 4.270 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 4.270 * [taylor]: Taking taylor expansion of 2.0 in x 4.270 * [backup-simplify]: Simplify 2.0 into 2.0 4.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.270 * [taylor]: Taking taylor expansion of x in x 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 1 into 1 4.270 * [backup-simplify]: Simplify (/ 1 1) into 1 4.270 * [taylor]: Taking taylor expansion of x in x 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 1 into 1 4.271 * [backup-simplify]: Simplify (- 1) into -1 4.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.272 * [backup-simplify]: Simplify (/ -1 1) into -1 4.272 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (* -1 (/ (- 2.0 (/ 1 x)) x))) in y 4.272 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (* -1 (/ (- 2.0 (/ 1 x)) x))) 4.272 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 4.272 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.272 * [taylor]: Taking taylor expansion of -1 in y 4.272 * [backup-simplify]: Simplify -1 into -1 4.272 * [taylor]: Taking taylor expansion of y in y 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (/ -1 1) into -1 4.272 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.272 * [taylor]: Taking taylor expansion of -1 in y 4.273 * [backup-simplify]: Simplify -1 into -1 4.273 * [taylor]: Taking taylor expansion of y in y 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (/ -1 1) into -1 4.273 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in y 4.273 * [taylor]: Taking taylor expansion of -1 in y 4.273 * [backup-simplify]: Simplify -1 into -1 4.273 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in y 4.273 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in y 4.273 * [taylor]: Taking taylor expansion of 2.0 in y 4.273 * [backup-simplify]: Simplify 2.0 into 2.0 4.273 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.273 * [taylor]: Taking taylor expansion of x in y 4.273 * [backup-simplify]: Simplify x into x 4.273 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.273 * [taylor]: Taking taylor expansion of x in y 4.274 * [backup-simplify]: Simplify x into x 4.274 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 4.274 * [backup-simplify]: Simplify (+ 2.0 (- (/ 1 x))) into (- 2.0 (/ 1 x)) 4.274 * [backup-simplify]: Simplify (/ (- 2.0 (/ 1 x)) x) into (/ (- 2.0 (/ 1 x)) x) 4.274 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (* -1 (/ (- 2.0 (/ 1 x)) x))) in y 4.274 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (* -1 (/ (- 2.0 (/ 1 x)) x))) 4.274 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 4.274 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.274 * [taylor]: Taking taylor expansion of -1 in y 4.274 * [backup-simplify]: Simplify -1 into -1 4.274 * [taylor]: Taking taylor expansion of y in y 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.275 * [backup-simplify]: Simplify (/ -1 1) into -1 4.275 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.275 * [taylor]: Taking taylor expansion of -1 in y 4.275 * [backup-simplify]: Simplify -1 into -1 4.275 * [taylor]: Taking taylor expansion of y in y 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 1 into 1 4.275 * [backup-simplify]: Simplify (/ -1 1) into -1 4.275 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in y 4.275 * [taylor]: Taking taylor expansion of -1 in y 4.276 * [backup-simplify]: Simplify -1 into -1 4.276 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in y 4.276 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in y 4.276 * [taylor]: Taking taylor expansion of 2.0 in y 4.276 * [backup-simplify]: Simplify 2.0 into 2.0 4.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.276 * [taylor]: Taking taylor expansion of x in y 4.276 * [backup-simplify]: Simplify x into x 4.276 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.276 * [taylor]: Taking taylor expansion of x in y 4.276 * [backup-simplify]: Simplify x into x 4.276 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 4.276 * [backup-simplify]: Simplify (+ 2.0 (- (/ 1 x))) into (- 2.0 (/ 1 x)) 4.276 * [backup-simplify]: Simplify (/ (- 2.0 (/ 1 x)) x) into (/ (- 2.0 (/ 1 x)) x) 4.277 * [backup-simplify]: Simplify (* -1 -1) into 1 4.277 * [backup-simplify]: Simplify (+ 1 0) into 1 4.277 * [taylor]: Taking taylor expansion of 1 in x 4.277 * [backup-simplify]: Simplify 1 into 1 4.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.280 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.280 * [backup-simplify]: Simplify (+ 0 0) into 0 4.280 * [taylor]: Taking taylor expansion of 0 in x 4.280 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.283 * [backup-simplify]: Simplify (* -1 (/ (- 2.0 (/ 1 x)) x)) into (* -1 (/ (- 2.0 (/ 1 x)) x)) 4.283 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (- 2.0 (/ 1 x)) x))) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 4.284 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 4.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.284 * [taylor]: Taking taylor expansion of x in x 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 1 into 1 4.284 * [backup-simplify]: Simplify (* 1 1) into 1 4.284 * [backup-simplify]: Simplify (/ 1 1) into 1 4.285 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 4.285 * [taylor]: Taking taylor expansion of 2.0 in x 4.285 * [backup-simplify]: Simplify 2.0 into 2.0 4.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.285 * [taylor]: Taking taylor expansion of x in x 4.285 * [backup-simplify]: Simplify 0 into 0 4.285 * [backup-simplify]: Simplify 1 into 1 4.285 * [backup-simplify]: Simplify (/ 1 1) into 1 4.286 * [backup-simplify]: Simplify (+ 1 0) into 1 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [backup-simplify]: Simplify 1 into 1 4.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.287 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.288 * [backup-simplify]: Simplify (- 0) into 0 4.288 * [backup-simplify]: Simplify (+ 0 0) into 0 4.288 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ (- 2.0 (/ 1 x)) x) (/ 0 x)))) into 0 4.288 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (- 2.0 (/ 1 x)) x))) into 0 4.289 * [backup-simplify]: Simplify (+ 0 0) into 0 4.289 * [taylor]: Taking taylor expansion of 0 in x 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 4.290 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 4.290 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 4.291 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 4.291 * [backup-simplify]: Simplify (+ (* (- 2.0) (* (/ 1 (/ 1 (- x))) 1)) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 4.291 * * * * [progress]: [ 2 / 2 ] generating series at (2 3) 4.292 * [backup-simplify]: Simplify (* x (+ 2.0 x)) into (* (+ x 2.0) x) 4.292 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 4.292 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 4.292 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 4.292 * [taylor]: Taking taylor expansion of x in x 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [taylor]: Taking taylor expansion of 2.0 in x 4.292 * [backup-simplify]: Simplify 2.0 into 2.0 4.292 * [taylor]: Taking taylor expansion of x in x 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 4.292 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 4.292 * [taylor]: Taking taylor expansion of x in x 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [taylor]: Taking taylor expansion of 2.0 in x 4.292 * [backup-simplify]: Simplify 2.0 into 2.0 4.292 * [taylor]: Taking taylor expansion of x in x 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 1 into 1 4.293 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 4.293 * [backup-simplify]: Simplify (* 2.0 0) into 0 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify (+ 1 0) into 1 4.294 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 1 0)) into 2.0 4.294 * [backup-simplify]: Simplify 2.0 into 2.0 4.295 * [backup-simplify]: Simplify (+ 0 0) into 0 4.295 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 1) (* 0 0))) into 1 4.295 * [backup-simplify]: Simplify 1 into 1 4.295 * [backup-simplify]: Simplify (+ 0 0) into 0 4.296 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify (+ 0 0) into 0 4.297 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify (+ 0 0) into 0 4.298 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.298 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify (+ 0 0) into 0 4.300 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.300 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify (+ 0 0) into 0 4.301 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify (+ 0 0) into 0 4.302 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 4.302 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 4.303 * [backup-simplify]: Simplify (* (/ 1 x) (+ 2.0 (/ 1 x))) into (/ (+ (/ 1 x) 2.0) x) 4.303 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 4.303 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 4.303 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 4.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.303 * [taylor]: Taking taylor expansion of x in x 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify 1 into 1 4.303 * [backup-simplify]: Simplify (/ 1 1) into 1 4.303 * [taylor]: Taking taylor expansion of 2.0 in x 4.303 * [backup-simplify]: Simplify 2.0 into 2.0 4.303 * [taylor]: Taking taylor expansion of x in x 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify 1 into 1 4.303 * [backup-simplify]: Simplify (+ 1 0) into 1 4.304 * [backup-simplify]: Simplify (/ 1 1) into 1 4.304 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 4.304 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 4.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.304 * [taylor]: Taking taylor expansion of x in x 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify 1 into 1 4.304 * [backup-simplify]: Simplify (/ 1 1) into 1 4.304 * [taylor]: Taking taylor expansion of 2.0 in x 4.304 * [backup-simplify]: Simplify 2.0 into 2.0 4.304 * [taylor]: Taking taylor expansion of x in x 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify 1 into 1 4.304 * [backup-simplify]: Simplify (+ 1 0) into 1 4.305 * [backup-simplify]: Simplify (/ 1 1) into 1 4.305 * [backup-simplify]: Simplify 1 into 1 4.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.305 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 4.307 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 4.307 * [backup-simplify]: Simplify 2.0 into 2.0 4.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (+ 0 0) into 0 4.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 0 4.308 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.309 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.310 * [backup-simplify]: Simplify (+ 0 0) into 0 4.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.311 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (+ 0 0) into 0 4.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.313 * [backup-simplify]: Simplify (+ 0 0) into 0 4.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (+ 0 0) into 0 4.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) (* 2.0 x)) 4.318 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ 2.0 (/ 1 (- x)))) into (* -1 (/ (- 2.0 (/ 1 x)) x)) 4.318 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 4.318 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 4.318 * [taylor]: Taking taylor expansion of -1 in x 4.319 * [backup-simplify]: Simplify -1 into -1 4.319 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 4.319 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 4.319 * [taylor]: Taking taylor expansion of 2.0 in x 4.319 * [backup-simplify]: Simplify 2.0 into 2.0 4.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.319 * [taylor]: Taking taylor expansion of x in x 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 1 into 1 4.319 * [backup-simplify]: Simplify (/ 1 1) into 1 4.319 * [taylor]: Taking taylor expansion of x in x 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 1 into 1 4.320 * [backup-simplify]: Simplify (- 1) into -1 4.320 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.321 * [backup-simplify]: Simplify (/ -1 1) into -1 4.321 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 4.321 * [taylor]: Taking taylor expansion of -1 in x 4.321 * [backup-simplify]: Simplify -1 into -1 4.321 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 4.321 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 4.321 * [taylor]: Taking taylor expansion of 2.0 in x 4.321 * [backup-simplify]: Simplify 2.0 into 2.0 4.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.321 * [taylor]: Taking taylor expansion of x in x 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 1 into 1 4.321 * [backup-simplify]: Simplify (/ 1 1) into 1 4.321 * [taylor]: Taking taylor expansion of x in x 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 1 into 1 4.322 * [backup-simplify]: Simplify (- 1) into -1 4.322 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.323 * [backup-simplify]: Simplify (/ -1 1) into -1 4.323 * [backup-simplify]: Simplify (* -1 -1) into 1 4.323 * [backup-simplify]: Simplify 1 into 1 4.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.324 * [backup-simplify]: Simplify (- 0) into 0 4.325 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 4.327 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* -1 (/ 0 1)))) into 2.0 4.329 * [backup-simplify]: Simplify (+ (* -1 2.0) (* 0 -1)) into (- 2.0) 4.329 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 4.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (- 0) into 0 4.331 * [backup-simplify]: Simplify (+ 0 0) into 0 4.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 2.0) (* 0 -1))) into 0 4.333 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.334 * [backup-simplify]: Simplify (- 0) into 0 4.334 * [backup-simplify]: Simplify (+ 0 0) into 0 4.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.337 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))) into 0 4.337 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.338 * [backup-simplify]: Simplify (- 0) into 0 4.339 * [backup-simplify]: Simplify (+ 0 0) into 0 4.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1))))) into 0 4.341 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.342 * [backup-simplify]: Simplify (- 0) into 0 4.342 * [backup-simplify]: Simplify (+ 0 0) into 0 4.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.344 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))))) into 0 4.344 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.345 * [backup-simplify]: Simplify (- 0) into 0 4.345 * [backup-simplify]: Simplify (+ 0 0) into 0 4.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1))))))) into 0 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (- 0) into 0 4.348 * [backup-simplify]: Simplify (+ 0 0) into 0 4.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))))))) into 0 4.349 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) (* 2.0 x)) 4.350 * * * [progress]: simplifying candidates 4.351 * [simplify]: Simplifying: (expm1 (fma y y (* x (+ 2.0 x)))) (log1p (fma y y (* x (+ 2.0 x)))) (* y y) (log (fma y y (* x (+ 2.0 x)))) (exp (fma y y (* x (+ 2.0 x)))) (* (cbrt (fma y y (* x (+ 2.0 x)))) (cbrt (fma y y (* x (+ 2.0 x))))) (cbrt (fma y y (* x (+ 2.0 x)))) (* (* (fma y y (* x (+ 2.0 x))) (fma y y (* x (+ 2.0 x)))) (fma y y (* x (+ 2.0 x)))) (sqrt (fma y y (* x (+ 2.0 x)))) (sqrt (fma y y (* x (+ 2.0 x)))) (expm1 (* x (+ 2.0 x))) (log1p (* x (+ 2.0 x))) (* x (+ 2.0 x)) (+ (log x) (log (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (* (* x x) x) (* (* (+ 2.0 x) (+ 2.0 x)) (+ 2.0 x))) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (* (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* x 2.0) (* x x) (* 2.0 x) (* x x) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) (* x 1) (* x 1) (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) 4.351 * * [simplify]: Extracting # 0 : cost 0 4.351 * * [simplify]: Extracting # 1 : cost 0 4.351 * * [simplify]: Extracting # 2 : cost 0 4.351 * * [simplify]: Extracting # 3 : cost 0 4.352 * * [simplify]: Extracting # 4 : cost 0 4.352 * * [simplify]: Extracting # 5 : cost 0 4.352 * * [simplify]: Extracting # 6 : cost 0 4.352 * * [simplify]: iteration 0 : 61 enodes (cost 350 ) 4.374 * * [simplify]: Extracting # 0 : cost 0 4.374 * * [simplify]: Extracting # 1 : cost 0 4.374 * * [simplify]: Extracting # 2 : cost 0 4.374 * * [simplify]: Extracting # 3 : cost 0 4.374 * * [simplify]: Extracting # 4 : cost 0 4.375 * * [simplify]: iteration 1 : 148 enodes (cost 331 ) 4.495 * * [simplify]: Extracting # 0 : cost 0 4.496 * * [simplify]: Extracting # 1 : cost 0 4.496 * * [simplify]: Extracting # 2 : cost 0 4.497 * * [simplify]: Extracting # 3 : cost 0 4.498 * * [simplify]: Extracting # 4 : cost 0 4.499 * * [simplify]: iteration 2 : 446 enodes (cost 293 ) 5.014 * * [simplify]: Extracting # 0 : cost 0 5.016 * * [simplify]: Extracting # 1 : cost 0 5.017 * * [simplify]: Extracting # 2 : cost 0 5.018 * * [simplify]: Extracting # 3 : cost 0 5.020 * * [simplify]: Extracting # 4 : cost 0 5.021 * * [simplify]: iteration 3 : 1647 enodes (cost 293 ) 6.182 * * [simplify]: Extracting # 0 : cost 0 6.187 * * [simplify]: Extracting # 1 : cost 0 6.199 * * [simplify]: Extracting # 2 : cost 0 6.205 * * [simplify]: Extracting # 3 : cost 0 6.216 * * [simplify]: Extracting # 4 : cost 0 6.224 * * [simplify]: iteration done: 5000 enodes (cost 293 ) 6.224 * [simplify]: Simplified to: (expm1 (fma y y (* x (+ 2.0 x)))) (log1p (fma y y (* x (+ 2.0 x)))) (* y y) (log (fma y y (* x (+ 2.0 x)))) (exp (fma y y (* x (+ 2.0 x)))) (* (cbrt (fma y y (* x (+ 2.0 x)))) (cbrt (fma y y (* x (+ 2.0 x))))) (cbrt (fma y y (* x (+ 2.0 x)))) (pow (fma y y (* x (+ 2.0 x))) 3) (sqrt (fma y y (* x (+ 2.0 x)))) (sqrt (fma y y (* x (+ 2.0 x)))) (expm1 (* x (+ 2.0 x))) (log1p (* x (+ 2.0 x))) (* x (+ 2.0 x)) (log (* x (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* 2.0 x) (* x x) (* 2.0 x) (* x x) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) x x (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (fma (pow 2.0 3) x (pow x 4)) (* x (- (* 2.0 2.0) (* x x))) (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) 6.225 * * * [progress]: adding candidates to table 6.324 * * [progress]: iteration 4 / 4 6.324 * * * [progress]: picking best candidate 6.327 * * * * [pick]: Picked # 6.327 * * * [progress]: localizing error 6.343 * * * [progress]: generating rewritten candidates 6.343 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.360 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 6.361 * * * [progress]: generating series expansions 6.361 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.361 * [backup-simplify]: Simplify (+ (* x 2.0) (fma x x (* y y))) into (+ (fma x x (pow y 2)) (* 2.0 x)) 6.361 * [approximate]: Taking taylor expansion of (+ (fma x x (pow y 2)) (* 2.0 x)) in (x y) around 0 6.361 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (* 2.0 x)) in y 6.361 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 6.362 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 6.362 * [taylor]: Taking taylor expansion of (* x x) in y 6.362 * [taylor]: Taking taylor expansion of x in y 6.362 * [backup-simplify]: Simplify x into x 6.362 * [taylor]: Taking taylor expansion of x in y 6.362 * [backup-simplify]: Simplify x into x 6.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.362 * [taylor]: Taking taylor expansion of y in y 6.362 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify 1 into 1 6.362 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 6.362 * [taylor]: Taking taylor expansion of 2.0 in y 6.362 * [backup-simplify]: Simplify 2.0 into 2.0 6.362 * [taylor]: Taking taylor expansion of x in y 6.362 * [backup-simplify]: Simplify x into x 6.362 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (* 2.0 x)) in x 6.362 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 6.362 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 6.362 * [taylor]: Taking taylor expansion of (* x x) in x 6.362 * [taylor]: Taking taylor expansion of x in x 6.362 * [backup-simplify]: Simplify 0 into 0 6.362 * [backup-simplify]: Simplify 1 into 1 6.362 * [taylor]: Taking taylor expansion of x in x 6.363 * [backup-simplify]: Simplify 0 into 0 6.363 * [backup-simplify]: Simplify 1 into 1 6.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.363 * [taylor]: Taking taylor expansion of y in x 6.363 * [backup-simplify]: Simplify y into y 6.363 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 6.363 * [taylor]: Taking taylor expansion of 2.0 in x 6.363 * [backup-simplify]: Simplify 2.0 into 2.0 6.363 * [taylor]: Taking taylor expansion of x in x 6.363 * [backup-simplify]: Simplify 0 into 0 6.363 * [backup-simplify]: Simplify 1 into 1 6.363 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (* 2.0 x)) in x 6.363 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 6.363 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 6.363 * [taylor]: Taking taylor expansion of (* x x) in x 6.363 * [taylor]: Taking taylor expansion of x in x 6.363 * [backup-simplify]: Simplify 0 into 0 6.363 * [backup-simplify]: Simplify 1 into 1 6.363 * [taylor]: Taking taylor expansion of x in x 6.363 * [backup-simplify]: Simplify 0 into 0 6.363 * [backup-simplify]: Simplify 1 into 1 6.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.363 * [taylor]: Taking taylor expansion of y in x 6.363 * [backup-simplify]: Simplify y into y 6.363 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 6.363 * [taylor]: Taking taylor expansion of 2.0 in x 6.363 * [backup-simplify]: Simplify 2.0 into 2.0 6.363 * [taylor]: Taking taylor expansion of x in x 6.363 * [backup-simplify]: Simplify 0 into 0 6.363 * [backup-simplify]: Simplify 1 into 1 6.364 * [backup-simplify]: Simplify (* 0 0) into 0 6.364 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.364 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.365 * [backup-simplify]: Simplify (* 2.0 0) into 0 6.365 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.365 * [taylor]: Taking taylor expansion of y in y 6.365 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify 1 into 1 6.366 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.366 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.367 * [backup-simplify]: Simplify (+ 0 0) into 0 6.368 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 6.369 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 6.369 * [taylor]: Taking taylor expansion of 2.0 in y 6.369 * [backup-simplify]: Simplify 2.0 into 2.0 6.369 * [backup-simplify]: Simplify 2.0 into 2.0 6.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.370 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.370 * [backup-simplify]: Simplify (+ 1 0) into 1 6.371 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 6.372 * [backup-simplify]: Simplify (+ 1 0) into 1 6.372 * [taylor]: Taking taylor expansion of 1 in y 6.372 * [backup-simplify]: Simplify 1 into 1 6.372 * [backup-simplify]: Simplify 1 into 1 6.372 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify (* 1 1) into 1 6.372 * [backup-simplify]: Simplify 1 into 1 6.373 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 1 (pow (* 1 x) 2)) (* 2.0 (* 1 x)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 6.373 * [backup-simplify]: Simplify (+ (* (/ 1 x) 2.0) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 6.373 * [approximate]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0 6.373 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 6.373 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 6.374 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 6.374 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.374 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.374 * [taylor]: Taking taylor expansion of x in y 6.374 * [backup-simplify]: Simplify x into x 6.374 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.374 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.374 * [taylor]: Taking taylor expansion of x in y 6.374 * [backup-simplify]: Simplify x into x 6.374 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.374 * [taylor]: Taking taylor expansion of y in y 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.375 * [backup-simplify]: Simplify (* 1 1) into 1 6.375 * [backup-simplify]: Simplify (/ 1 1) into 1 6.375 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 6.375 * [taylor]: Taking taylor expansion of 2.0 in y 6.375 * [backup-simplify]: Simplify 2.0 into 2.0 6.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.375 * [taylor]: Taking taylor expansion of x in y 6.375 * [backup-simplify]: Simplify x into x 6.375 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.375 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 6.375 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 6.375 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 6.375 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.376 * [taylor]: Taking taylor expansion of x in x 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify (/ 1 1) into 1 6.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.376 * [taylor]: Taking taylor expansion of x in x 6.376 * [backup-simplify]: Simplify 0 into 0 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify (/ 1 1) into 1 6.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.377 * [taylor]: Taking taylor expansion of y in x 6.377 * [backup-simplify]: Simplify y into y 6.377 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.377 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.377 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 6.377 * [taylor]: Taking taylor expansion of 2.0 in x 6.377 * [backup-simplify]: Simplify 2.0 into 2.0 6.377 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.377 * [taylor]: Taking taylor expansion of x in x 6.377 * [backup-simplify]: Simplify 0 into 0 6.377 * [backup-simplify]: Simplify 1 into 1 6.377 * [backup-simplify]: Simplify (/ 1 1) into 1 6.377 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 6.377 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 6.378 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 6.378 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.378 * [taylor]: Taking taylor expansion of x in x 6.378 * [backup-simplify]: Simplify 0 into 0 6.378 * [backup-simplify]: Simplify 1 into 1 6.378 * [backup-simplify]: Simplify (/ 1 1) into 1 6.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.378 * [taylor]: Taking taylor expansion of x in x 6.378 * [backup-simplify]: Simplify 0 into 0 6.378 * [backup-simplify]: Simplify 1 into 1 6.379 * [backup-simplify]: Simplify (/ 1 1) into 1 6.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.379 * [taylor]: Taking taylor expansion of y in x 6.379 * [backup-simplify]: Simplify y into y 6.379 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.379 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.379 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 6.379 * [taylor]: Taking taylor expansion of 2.0 in x 6.379 * [backup-simplify]: Simplify 2.0 into 2.0 6.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.379 * [taylor]: Taking taylor expansion of x in x 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 1 into 1 6.380 * [backup-simplify]: Simplify (/ 1 1) into 1 6.380 * [backup-simplify]: Simplify (* 1 1) into 1 6.380 * [backup-simplify]: Simplify (+ 1 0) into 1 6.381 * [backup-simplify]: Simplify (+ 1 0) into 1 6.381 * [taylor]: Taking taylor expansion of 1 in y 6.381 * [backup-simplify]: Simplify 1 into 1 6.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.383 * [backup-simplify]: Simplify (+ 0 0) into 0 6.383 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 6.383 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 6.383 * [taylor]: Taking taylor expansion of 2.0 in y 6.383 * [backup-simplify]: Simplify 2.0 into 2.0 6.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.385 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.386 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 6.386 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.386 * [taylor]: Taking taylor expansion of y in y 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 1 into 1 6.386 * [backup-simplify]: Simplify (* 1 1) into 1 6.387 * [backup-simplify]: Simplify (/ 1 1) into 1 6.387 * [backup-simplify]: Simplify 1 into 1 6.387 * [backup-simplify]: Simplify 1 into 1 6.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.388 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.389 * [backup-simplify]: Simplify (+ 0 0) into 0 6.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.390 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 6.390 * [backup-simplify]: Simplify (+ 0 0) into 0 6.390 * [taylor]: Taking taylor expansion of 0 in y 6.390 * [backup-simplify]: Simplify 0 into 0 6.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.391 * [backup-simplify]: Simplify 0 into 0 6.391 * [backup-simplify]: Simplify 2.0 into 2.0 6.392 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 x)))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 6.392 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) 2.0) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (- (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) 6.392 * [approximate]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in (x y) around 0 6.392 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in y 6.392 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 6.393 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 6.393 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.393 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.393 * [taylor]: Taking taylor expansion of -1 in y 6.393 * [backup-simplify]: Simplify -1 into -1 6.393 * [taylor]: Taking taylor expansion of x in y 6.393 * [backup-simplify]: Simplify x into x 6.393 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.393 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.393 * [taylor]: Taking taylor expansion of -1 in y 6.393 * [backup-simplify]: Simplify -1 into -1 6.393 * [taylor]: Taking taylor expansion of x in y 6.393 * [backup-simplify]: Simplify x into x 6.393 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.393 * [taylor]: Taking taylor expansion of y in y 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.393 * [backup-simplify]: Simplify (* 1 1) into 1 6.393 * [backup-simplify]: Simplify (/ 1 1) into 1 6.393 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 6.393 * [taylor]: Taking taylor expansion of 2.0 in y 6.393 * [backup-simplify]: Simplify 2.0 into 2.0 6.393 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.393 * [taylor]: Taking taylor expansion of x in y 6.393 * [backup-simplify]: Simplify x into x 6.394 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.394 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 6.394 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 6.394 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 6.394 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.394 * [taylor]: Taking taylor expansion of -1 in x 6.394 * [backup-simplify]: Simplify -1 into -1 6.394 * [taylor]: Taking taylor expansion of x in x 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify 1 into 1 6.394 * [backup-simplify]: Simplify (/ -1 1) into -1 6.394 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.394 * [taylor]: Taking taylor expansion of -1 in x 6.394 * [backup-simplify]: Simplify -1 into -1 6.394 * [taylor]: Taking taylor expansion of x in x 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify 1 into 1 6.394 * [backup-simplify]: Simplify (/ -1 1) into -1 6.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.395 * [taylor]: Taking taylor expansion of y in x 6.395 * [backup-simplify]: Simplify y into y 6.395 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.395 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.395 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 6.395 * [taylor]: Taking taylor expansion of 2.0 in x 6.395 * [backup-simplify]: Simplify 2.0 into 2.0 6.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.395 * [taylor]: Taking taylor expansion of x in x 6.395 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify 1 into 1 6.395 * [backup-simplify]: Simplify (/ 1 1) into 1 6.395 * [taylor]: Taking taylor expansion of (- (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (* 2.0 (/ 1 x))) in x 6.395 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 6.395 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 6.395 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.395 * [taylor]: Taking taylor expansion of -1 in x 6.395 * [backup-simplify]: Simplify -1 into -1 6.395 * [taylor]: Taking taylor expansion of x in x 6.395 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify 1 into 1 6.396 * [backup-simplify]: Simplify (/ -1 1) into -1 6.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.396 * [taylor]: Taking taylor expansion of -1 in x 6.396 * [backup-simplify]: Simplify -1 into -1 6.396 * [taylor]: Taking taylor expansion of x in x 6.396 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify 1 into 1 6.396 * [backup-simplify]: Simplify (/ -1 1) into -1 6.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.396 * [taylor]: Taking taylor expansion of y in x 6.396 * [backup-simplify]: Simplify y into y 6.396 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.396 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.396 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 6.396 * [taylor]: Taking taylor expansion of 2.0 in x 6.396 * [backup-simplify]: Simplify 2.0 into 2.0 6.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.396 * [taylor]: Taking taylor expansion of x in x 6.396 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify 1 into 1 6.397 * [backup-simplify]: Simplify (/ 1 1) into 1 6.397 * [backup-simplify]: Simplify (* -1 -1) into 1 6.397 * [backup-simplify]: Simplify (+ 1 0) into 1 6.397 * [backup-simplify]: Simplify (+ 1 0) into 1 6.398 * [taylor]: Taking taylor expansion of 1 in y 6.398 * [backup-simplify]: Simplify 1 into 1 6.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.399 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.399 * [backup-simplify]: Simplify (+ 0 0) into 0 6.399 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 6.400 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 6.400 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 6.400 * [taylor]: Taking taylor expansion of (- 2.0) in y 6.400 * [taylor]: Taking taylor expansion of 2.0 in y 6.400 * [backup-simplify]: Simplify 2.0 into 2.0 6.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.402 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.402 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.403 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 6.403 * [backup-simplify]: Simplify (- 0) into 0 6.403 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.403 * [taylor]: Taking taylor expansion of y in y 6.403 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify 1 into 1 6.404 * [backup-simplify]: Simplify (* 1 1) into 1 6.404 * [backup-simplify]: Simplify (/ 1 1) into 1 6.404 * [backup-simplify]: Simplify 1 into 1 6.404 * [backup-simplify]: Simplify 1 into 1 6.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.406 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.406 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.406 * [backup-simplify]: Simplify (+ 0 0) into 0 6.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.407 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 6.407 * [backup-simplify]: Simplify (- 0) into 0 6.408 * [backup-simplify]: Simplify (+ 0 0) into 0 6.408 * [taylor]: Taking taylor expansion of 0 in y 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.408 * [backup-simplify]: Simplify 0 into 0 6.409 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 6.409 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 6.410 * [backup-simplify]: Simplify (+ (* (- 2.0) (* 1 (/ 1 (/ 1 (- x))))) (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) 6.410 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 6.410 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2)) 6.410 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 6.410 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 6.410 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 6.410 * [taylor]: Taking taylor expansion of (* x x) in y 6.410 * [taylor]: Taking taylor expansion of x in y 6.410 * [backup-simplify]: Simplify x into x 6.410 * [taylor]: Taking taylor expansion of x in y 6.410 * [backup-simplify]: Simplify x into x 6.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.410 * [taylor]: Taking taylor expansion of y in y 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 1 into 1 6.410 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 6.410 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 6.410 * [taylor]: Taking taylor expansion of (* x x) in x 6.410 * [taylor]: Taking taylor expansion of x in x 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 1 into 1 6.410 * [taylor]: Taking taylor expansion of x in x 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 1 into 1 6.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.410 * [taylor]: Taking taylor expansion of y in x 6.410 * [backup-simplify]: Simplify y into y 6.411 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 6.411 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 6.411 * [taylor]: Taking taylor expansion of (* x x) in x 6.411 * [taylor]: Taking taylor expansion of x in x 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 1 into 1 6.411 * [taylor]: Taking taylor expansion of x in x 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 1 into 1 6.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.411 * [taylor]: Taking taylor expansion of y in x 6.411 * [backup-simplify]: Simplify y into y 6.411 * [backup-simplify]: Simplify (* 0 0) into 0 6.411 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.411 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 6.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.411 * [taylor]: Taking taylor expansion of y in y 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 1 into 1 6.412 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.412 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.412 * [backup-simplify]: Simplify (+ 0 0) into 0 6.412 * [taylor]: Taking taylor expansion of 0 in y 6.412 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.413 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.413 * [backup-simplify]: Simplify (+ 1 0) into 1 6.413 * [taylor]: Taking taylor expansion of 1 in y 6.413 * [backup-simplify]: Simplify 1 into 1 6.413 * [backup-simplify]: Simplify 1 into 1 6.413 * [backup-simplify]: Simplify 0 into 0 6.413 * [backup-simplify]: Simplify (* 1 1) into 1 6.413 * [backup-simplify]: Simplify 1 into 1 6.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.414 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.415 * [backup-simplify]: Simplify (+ 0 0) into 0 6.415 * [taylor]: Taking taylor expansion of 0 in y 6.415 * [backup-simplify]: Simplify 0 into 0 6.415 * [backup-simplify]: Simplify 0 into 0 6.415 * [backup-simplify]: Simplify 0 into 0 6.415 * [backup-simplify]: Simplify 0 into 0 6.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.415 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.417 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.417 * [backup-simplify]: Simplify (+ 0 0) into 0 6.417 * [taylor]: Taking taylor expansion of 0 in y 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 6.417 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) 6.417 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 6.417 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 6.417 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 6.417 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 6.417 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.417 * [taylor]: Taking taylor expansion of x in y 6.417 * [backup-simplify]: Simplify x into x 6.418 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.418 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.418 * [taylor]: Taking taylor expansion of x in y 6.418 * [backup-simplify]: Simplify x into x 6.418 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.418 * [taylor]: Taking taylor expansion of y in y 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 1 into 1 6.418 * [backup-simplify]: Simplify (* 1 1) into 1 6.418 * [backup-simplify]: Simplify (/ 1 1) into 1 6.418 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 6.418 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 6.418 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.418 * [taylor]: Taking taylor expansion of x in x 6.418 * [backup-simplify]: Simplify 0 into 0 6.418 * [backup-simplify]: Simplify 1 into 1 6.419 * [backup-simplify]: Simplify (/ 1 1) into 1 6.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.419 * [taylor]: Taking taylor expansion of x in x 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 1 into 1 6.419 * [backup-simplify]: Simplify (/ 1 1) into 1 6.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.419 * [taylor]: Taking taylor expansion of y in x 6.419 * [backup-simplify]: Simplify y into y 6.419 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.419 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.419 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 6.419 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 6.419 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 6.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.419 * [taylor]: Taking taylor expansion of x in x 6.419 * [backup-simplify]: Simplify 0 into 0 6.419 * [backup-simplify]: Simplify 1 into 1 6.420 * [backup-simplify]: Simplify (/ 1 1) into 1 6.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.420 * [taylor]: Taking taylor expansion of x in x 6.420 * [backup-simplify]: Simplify 0 into 0 6.420 * [backup-simplify]: Simplify 1 into 1 6.420 * [backup-simplify]: Simplify (/ 1 1) into 1 6.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.420 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.420 * [taylor]: Taking taylor expansion of y in x 6.420 * [backup-simplify]: Simplify y into y 6.420 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.420 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.420 * [backup-simplify]: Simplify (* 1 1) into 1 6.421 * [backup-simplify]: Simplify (+ 1 0) into 1 6.421 * [taylor]: Taking taylor expansion of 1 in y 6.421 * [backup-simplify]: Simplify 1 into 1 6.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.422 * [backup-simplify]: Simplify (+ 0 0) into 0 6.423 * [taylor]: Taking taylor expansion of 0 in y 6.423 * [backup-simplify]: Simplify 0 into 0 6.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.425 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.425 * [taylor]: Taking taylor expansion of y in y 6.425 * [backup-simplify]: Simplify 0 into 0 6.426 * [backup-simplify]: Simplify 1 into 1 6.426 * [backup-simplify]: Simplify (* 1 1) into 1 6.426 * [backup-simplify]: Simplify (/ 1 1) into 1 6.426 * [backup-simplify]: Simplify 1 into 1 6.426 * [backup-simplify]: Simplify 1 into 1 6.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.429 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.430 * [backup-simplify]: Simplify (+ 0 0) into 0 6.430 * [taylor]: Taking taylor expansion of 0 in y 6.430 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.435 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.436 * [backup-simplify]: Simplify (+ 0 0) into 0 6.436 * [taylor]: Taking taylor expansion of 0 in y 6.436 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.438 * [backup-simplify]: Simplify 0 into 0 6.438 * [backup-simplify]: Simplify 0 into 0 6.438 * [backup-simplify]: Simplify 0 into 0 6.438 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.439 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) 6.439 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 6.439 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 6.439 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 6.439 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 6.439 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.439 * [taylor]: Taking taylor expansion of -1 in y 6.439 * [backup-simplify]: Simplify -1 into -1 6.439 * [taylor]: Taking taylor expansion of x in y 6.439 * [backup-simplify]: Simplify x into x 6.439 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.439 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.439 * [taylor]: Taking taylor expansion of -1 in y 6.439 * [backup-simplify]: Simplify -1 into -1 6.439 * [taylor]: Taking taylor expansion of x in y 6.439 * [backup-simplify]: Simplify x into x 6.439 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.439 * [taylor]: Taking taylor expansion of y in y 6.439 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify 1 into 1 6.440 * [backup-simplify]: Simplify (* 1 1) into 1 6.440 * [backup-simplify]: Simplify (/ 1 1) into 1 6.440 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 6.440 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 6.440 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.441 * [taylor]: Taking taylor expansion of -1 in x 6.441 * [backup-simplify]: Simplify -1 into -1 6.441 * [taylor]: Taking taylor expansion of x in x 6.441 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify 1 into 1 6.441 * [backup-simplify]: Simplify (/ -1 1) into -1 6.441 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.441 * [taylor]: Taking taylor expansion of -1 in x 6.441 * [backup-simplify]: Simplify -1 into -1 6.441 * [taylor]: Taking taylor expansion of x in x 6.442 * [backup-simplify]: Simplify 0 into 0 6.442 * [backup-simplify]: Simplify 1 into 1 6.442 * [backup-simplify]: Simplify (/ -1 1) into -1 6.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.442 * [taylor]: Taking taylor expansion of y in x 6.442 * [backup-simplify]: Simplify y into y 6.442 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.442 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 6.443 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 6.443 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 6.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.443 * [taylor]: Taking taylor expansion of -1 in x 6.443 * [backup-simplify]: Simplify -1 into -1 6.443 * [taylor]: Taking taylor expansion of x in x 6.443 * [backup-simplify]: Simplify 0 into 0 6.443 * [backup-simplify]: Simplify 1 into 1 6.443 * [backup-simplify]: Simplify (/ -1 1) into -1 6.443 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.443 * [taylor]: Taking taylor expansion of -1 in x 6.443 * [backup-simplify]: Simplify -1 into -1 6.443 * [taylor]: Taking taylor expansion of x in x 6.443 * [backup-simplify]: Simplify 0 into 0 6.443 * [backup-simplify]: Simplify 1 into 1 6.450 * [backup-simplify]: Simplify (/ -1 1) into -1 6.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.450 * [taylor]: Taking taylor expansion of y in x 6.451 * [backup-simplify]: Simplify y into y 6.451 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.451 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.452 * [backup-simplify]: Simplify (* -1 -1) into 1 6.453 * [backup-simplify]: Simplify (+ 1 0) into 1 6.453 * [taylor]: Taking taylor expansion of 1 in y 6.453 * [backup-simplify]: Simplify 1 into 1 6.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.455 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.456 * [backup-simplify]: Simplify (+ 0 0) into 0 6.456 * [taylor]: Taking taylor expansion of 0 in y 6.456 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.459 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.459 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 6.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.459 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.459 * [taylor]: Taking taylor expansion of y in y 6.459 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify 1 into 1 6.460 * [backup-simplify]: Simplify (* 1 1) into 1 6.460 * [backup-simplify]: Simplify (/ 1 1) into 1 6.461 * [backup-simplify]: Simplify 1 into 1 6.461 * [backup-simplify]: Simplify 1 into 1 6.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.464 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.464 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.465 * [backup-simplify]: Simplify (+ 0 0) into 0 6.465 * [taylor]: Taking taylor expansion of 0 in y 6.465 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify 0 into 0 6.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.470 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 6.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.471 * [backup-simplify]: Simplify (+ 0 0) into 0 6.471 * [taylor]: Taking taylor expansion of 0 in y 6.471 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.473 * [backup-simplify]: Simplify 0 into 0 6.473 * [backup-simplify]: Simplify 0 into 0 6.473 * [backup-simplify]: Simplify 0 into 0 6.473 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 6.474 * * * [progress]: simplifying candidates 6.475 * [simplify]: Simplifying: (expm1 (+ (* x 2.0) (fma x x (* y y)))) (log1p (+ (* x 2.0) (fma x x (* y y)))) (* (exp (* x 2.0)) (exp (fma x x (* y y)))) (log (+ (* x 2.0) (fma x x (* y y)))) (exp (+ (* x 2.0) (fma x x (* y y)))) (* (cbrt (+ (* x 2.0) (fma x x (* y y)))) (cbrt (+ (* x 2.0) (fma x x (* y y))))) (cbrt (+ (* x 2.0) (fma x x (* y y)))) (* (* (+ (* x 2.0) (fma x x (* y y))) (+ (* x 2.0) (fma x x (* y y)))) (+ (* x 2.0) (fma x x (* y y)))) (sqrt (+ (* x 2.0) (fma x x (* y y)))) (sqrt (+ (* x 2.0) (fma x x (* y y)))) (+ (pow (* x 2.0) 3) (pow (fma x x (* y y)) 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* (fma x x (* y y)) (fma x x (* y y))) (* (* x 2.0) (fma x x (* y y))))) (- (* (* x 2.0) (* x 2.0)) (* (fma x x (* y y)) (fma x x (* y y)))) (- (* x 2.0) (fma x x (* y y))) (+ (* x 2.0) (* x x)) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (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))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (+ (* 2.0 x) (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 6.476 * * [simplify]: Extracting # 0 : cost 0 6.476 * * [simplify]: Extracting # 1 : cost 0 6.476 * * [simplify]: Extracting # 2 : cost 0 6.476 * * [simplify]: Extracting # 3 : cost 0 6.476 * * [simplify]: Extracting # 4 : cost 0 6.476 * * [simplify]: Extracting # 5 : cost 0 6.476 * * [simplify]: Extracting # 6 : cost 0 6.477 * * [simplify]: iteration 0 : 46 enodes (cost 369 ) 6.500 * * [simplify]: Extracting # 0 : cost 0 6.500 * * [simplify]: Extracting # 1 : cost 0 6.500 * * [simplify]: Extracting # 2 : cost 0 6.501 * * [simplify]: Extracting # 3 : cost 0 6.501 * * [simplify]: Extracting # 4 : cost 0 6.501 * * [simplify]: iteration 1 : 119 enodes (cost 323 ) 6.589 * * [simplify]: Extracting # 0 : cost 0 6.590 * * [simplify]: Extracting # 1 : cost 0 6.596 * * [simplify]: Extracting # 2 : cost 0 6.597 * * [simplify]: Extracting # 3 : cost 0 6.597 * * [simplify]: iteration 2 : 384 enodes (cost 282 ) 6.877 * * [simplify]: Extracting # 0 : cost 0 6.878 * * [simplify]: Extracting # 1 : cost 0 6.880 * * [simplify]: Extracting # 2 : cost 0 6.882 * * [simplify]: Extracting # 3 : cost 0 6.883 * * [simplify]: Extracting # 4 : cost 0 6.884 * * [simplify]: iteration 3 : 1511 enodes (cost 278 ) 7.793 * * [simplify]: Extracting # 0 : cost 0 7.811 * * [simplify]: Extracting # 1 : cost 0 7.817 * * [simplify]: Extracting # 2 : cost 0 7.822 * * [simplify]: Extracting # 3 : cost 0 7.828 * * [simplify]: Extracting # 4 : cost 0 7.833 * * [simplify]: iteration done: 5000 enodes (cost 278 ) 7.834 * [simplify]: Simplified to: (expm1 (fma x (+ 2.0 x) (* y y))) (log1p (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (log (fma x (+ 2.0 x) (* y y))) (exp (fma x (+ 2.0 x) (* y y))) (* (cbrt (fma x (+ 2.0 x) (* y y))) (cbrt (fma x (+ 2.0 x) (* y y)))) (cbrt (fma x (+ 2.0 x) (* y y))) (pow (fma x (+ 2.0 x) (* y y)) 3) (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))) (+ (pow (* x 2.0) 3) (pow (fma x x (* y y)) 3)) (fma (fma x x (pow y 2)) (fma y y (* x (- x 2.0))) (* (* x 2.0) (* x 2.0))) (* (- (* x (- 2.0 x)) (* y y)) (fma x (+ 2.0 x) (* y y))) (- (* x (- 2.0 x)) (* y y)) (* x (+ 2.0 x)) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (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) (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y)) (fma x (+ 2.0 x) (* y y)) (fma x x (pow y 2)) (fma x x (pow y 2)) (fma x x (pow y 2)) 7.834 * * * [progress]: adding candidates to table 7.922 * [progress]: [Phase 3 of 3] Extracting. 7.922 * * [regime]: Finding splitpoints for: (# #) 7.922 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 7.922 * * * * [regimes]: Trying to branch on (* y y) from (# #) 7.933 * * * * [regimes]: Trying to branch on y from (# #) 7.944 * * * * [regimes]: Trying to branch on x from (# #) 7.962 * * * [regime]: Found split indices: #