20.858 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.059 * * [simplify]: iteration 0: 9 enodes 0.062 * * [simplify]: iteration 1: 18 enodes 0.068 * * [simplify]: iteration 2: 45 enodes 0.079 * * [simplify]: iteration 3: 77 enodes 0.088 * * [simplify]: iteration 4: 85 enodes 0.097 * * [simplify]: iteration 5: 93 enodes 0.106 * * [simplify]: iteration complete: 93 enodes 0.106 * * [simplify]: Extracting #0: cost 1 inf + 0 0.106 * * [simplify]: Extracting #1: cost 15 inf + 0 0.106 * * [simplify]: Extracting #2: cost 10 inf + 9 0.106 * * [simplify]: Extracting #3: cost 2 inf + 45 0.106 * * [simplify]: Extracting #4: cost 0 inf + 58 0.106 * [simplify]: Simplified to: (fma y (fma 2.0 x y) (* x x)) 0.110 * * [progress]: iteration 1 / 4 0.110 * * * [progress]: picking best candidate 0.130 * * * * [pick]: Picked # 0.130 * * * [progress]: localizing error 0.148 * * * [progress]: generating rewritten candidates 0.148 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.149 * * * [progress]: generating series expansions 0.149 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.149 * [backup-simplify]: Simplify (fma y (fma 2.0 x y) (* x x)) into (fma y (fma 2.0 x y) (pow x 2)) 0.149 * [approximate]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in (y x) around 0 0.149 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in x 0.149 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.149 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.150 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.150 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.150 * [taylor]: Taking taylor expansion of 2.0 in x 0.150 * [backup-simplify]: Simplify 2.0 into 2.0 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in y 0.150 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.150 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.150 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.150 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.150 * [taylor]: Taking taylor expansion of 2.0 in y 0.151 * [backup-simplify]: Simplify 2.0 into 2.0 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [backup-simplify]: Simplify x into x 0.151 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in y 0.151 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.151 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) 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 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.151 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.151 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.151 * [taylor]: Taking taylor expansion of 2.0 in y 0.151 * [backup-simplify]: Simplify 2.0 into 2.0 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [backup-simplify]: Simplify x into x 0.152 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.152 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.152 * [backup-simplify]: Simplify (* 0 (* 2.0 x)) into 0 0.152 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.152 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.152 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.153 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.153 * [backup-simplify]: Simplify (+ 0 1) into 1 0.154 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 x))) into (* 2.0 x) 0.154 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.154 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.154 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.154 * [taylor]: Taking taylor expansion of 2.0 in x 0.154 * [backup-simplify]: Simplify 2.0 into 2.0 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 x)))) into 1 0.157 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [taylor]: Taking taylor expansion of 1 in x 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.159 * [backup-simplify]: Simplify 2.0 into 2.0 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.160 * [backup-simplify]: Simplify (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (* (/ 1 x) (/ 1 x))) into (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (/ 1 (pow x 2))) 0.160 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (/ 1 (pow x 2))) in (y x) around 0 0.160 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (/ 1 (pow x 2))) in x 0.160 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (/ 1 (pow x 2))) 0.160 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [backup-simplify]: Simplify y into y 0.161 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.161 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.161 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.161 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of 2.0 in x 0.161 * [backup-simplify]: Simplify 2.0 into 2.0 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [backup-simplify]: Simplify y into y 0.162 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (/ 1 (pow x 2))) in y 0.163 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (/ 1 (pow x 2))) 0.163 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.163 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.163 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.163 * [taylor]: Taking taylor expansion of 2.0 in y 0.164 * [backup-simplify]: Simplify 2.0 into 2.0 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [backup-simplify]: Simplify x into x 0.164 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [backup-simplify]: Simplify x into x 0.164 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.165 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.165 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (/ 1 (pow x 2))) in y 0.165 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (/ 1 (pow x 2))) 0.165 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.165 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.165 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.166 * [taylor]: Taking taylor expansion of 2.0 in y 0.166 * [backup-simplify]: Simplify 2.0 into 2.0 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.167 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.167 * [backup-simplify]: Simplify (+ 0 1) into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [taylor]: Taking taylor expansion of 1 in x 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ (/ 2.0 x) 0) into (* 2.0 (/ 1 x)) 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 (* 2.0 (/ 1 x))) (* 0 1)) into (* 2.0 (/ 1 x)) 0.170 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 x)) 0) into (* 2.0 (/ 1 x)) 0.170 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of 2.0 in x 0.170 * [backup-simplify]: Simplify 2.0 into 2.0 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2.0 (/ 1 x))) (* 0 1))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.177 * [backup-simplify]: Simplify 2.0 into 2.0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.178 * [backup-simplify]: Simplify (fma (/ 1 (- y)) (fma 2.0 (/ 1 (- x)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) into (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (/ 1 (pow x 2))) 0.178 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (/ 1 (pow x 2))) in (y x) around 0 0.178 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (/ 1 (pow x 2))) in x 0.178 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (/ 1 (pow x 2))) 0.178 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in x 0.178 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.178 * [taylor]: Taking taylor expansion of -1 in x 0.178 * [backup-simplify]: Simplify -1 into -1 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [backup-simplify]: Simplify y into y 0.178 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.178 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.178 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.178 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.178 * [taylor]: Taking taylor expansion of 2.0 in x 0.178 * [backup-simplify]: Simplify 2.0 into 2.0 0.178 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.178 * [taylor]: Taking taylor expansion of -1 in x 0.178 * [backup-simplify]: Simplify -1 into -1 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ -1 1) into -1 0.179 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.179 * [taylor]: Taking taylor expansion of -1 in x 0.179 * [backup-simplify]: Simplify -1 into -1 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [backup-simplify]: Simplify y into y 0.179 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (/ 1 (pow x 2))) in y 0.181 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (/ 1 (pow x 2))) 0.181 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in y 0.181 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.181 * [taylor]: Taking taylor expansion of -1 in y 0.181 * [backup-simplify]: Simplify -1 into -1 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ -1 1) into -1 0.181 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.181 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.181 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.181 * [taylor]: Taking taylor expansion of 2.0 in y 0.181 * [backup-simplify]: Simplify 2.0 into 2.0 0.181 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.181 * [taylor]: Taking taylor expansion of -1 in y 0.181 * [backup-simplify]: Simplify -1 into -1 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [backup-simplify]: Simplify x into x 0.182 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.182 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.182 * [taylor]: Taking taylor expansion of -1 in y 0.182 * [backup-simplify]: Simplify -1 into -1 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ -1 1) into -1 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.183 * [backup-simplify]: Simplify x into x 0.183 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.183 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.183 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (/ 1 (pow x 2))) in y 0.183 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (/ 1 (pow x 2))) 0.183 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in y 0.183 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.183 * [taylor]: Taking taylor expansion of -1 in y 0.183 * [backup-simplify]: Simplify -1 into -1 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ -1 1) into -1 0.184 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.184 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.184 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.184 * [taylor]: Taking taylor expansion of 2.0 in y 0.184 * [backup-simplify]: Simplify 2.0 into 2.0 0.184 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.184 * [taylor]: Taking taylor expansion of -1 in y 0.184 * [backup-simplify]: Simplify -1 into -1 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [backup-simplify]: Simplify x into x 0.184 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.184 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.184 * [taylor]: Taking taylor expansion of -1 in y 0.184 * [backup-simplify]: Simplify -1 into -1 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ -1 1) into -1 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [backup-simplify]: Simplify x into x 0.185 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.185 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.185 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.186 * [backup-simplify]: Simplify (* -1 -1) into 1 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.186 * [taylor]: Taking taylor expansion of 1 in x 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* 2.0 (/ -1 x)) into (/ -2.0 x) 0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ (/ -2.0 x) 0) into (- (* 2.0 (/ 1 x))) 0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (* -1 (- (* 2.0 (/ 1 x)))) (* 0 -1)) into (* 2.0 (/ 1 x)) 0.189 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 x)) 0) into (* 2.0 (/ 1 x)) 0.189 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of 2.0 in x 0.189 * [backup-simplify]: Simplify 2.0 into 2.0 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 0.190 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ -1 x))) into 0 0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2.0 (/ 1 x)))) (* 0 -1))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.195 * [backup-simplify]: Simplify 2.0 into 2.0 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.196 * * * [progress]: simplifying candidates 0.196 * [simplify]: Simplifying: (expm1 (fma y (fma 2.0 x y) (* x x))) (log1p (fma y (fma 2.0 x y) (* x x))) (* y (fma 2.0 x y)) (log (fma y (fma 2.0 x y) (* x x))) (exp (fma y (fma 2.0 x y) (* x x))) (* (cbrt (fma y (fma 2.0 x y) (* x x))) (cbrt (fma y (fma 2.0 x y) (* x x)))) (cbrt (fma y (fma 2.0 x y) (* x x))) (* (* (fma y (fma 2.0 x y) (* x x)) (fma y (fma 2.0 x y) (* x x))) (fma y (fma 2.0 x y) (* x x))) (sqrt (fma y (fma 2.0 x y) (* x x))) (sqrt (fma y (fma 2.0 x y) (* x x))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.197 * * [simplify]: iteration 0: 23 enodes 0.204 * * [simplify]: iteration 1: 42 enodes 0.223 * * [simplify]: iteration 2: 127 enodes 0.299 * * [simplify]: iteration 3: 547 enodes 0.548 * * [simplify]: iteration complete: 5000 enodes 0.548 * * [simplify]: Extracting #0: cost 10 inf + 0 0.549 * * [simplify]: Extracting #1: cost 423 inf + 0 0.553 * * [simplify]: Extracting #2: cost 1721 inf + 922 0.560 * * [simplify]: Extracting #3: cost 964 inf + 18168 0.574 * * [simplify]: Extracting #4: cost 17 inf + 31735 0.589 * * [simplify]: Extracting #5: cost 0 inf + 31998 0.596 * * [simplify]: Extracting #6: cost 0 inf + 31950 0.603 * [simplify]: Simplified to: (expm1 (fma y (fma 2.0 x y) (* x x))) (log1p (fma y (fma 2.0 x y) (* x x))) (* (fma 2.0 x y) y) (log (fma y (fma 2.0 x y) (* x x))) (exp (fma y (fma 2.0 x y) (* x x))) (* (cbrt (fma y (fma 2.0 x y) (* x x))) (cbrt (fma y (fma 2.0 x y) (* x x)))) (cbrt (fma y (fma 2.0 x y) (* x x))) (pow (fma y (fma 2.0 x y) (* x x)) 3) (sqrt (fma y (fma 2.0 x y) (* x x))) (sqrt (fma y (fma 2.0 x y) (* x x))) (fma y (fma 2.0 x y) (* x x)) (fma y (fma 2.0 x y) (* x x)) (fma y (fma 2.0 x y) (* x x)) 0.603 * * * [progress]: adding candidates to table 0.663 * * [progress]: iteration 2 / 4 0.663 * * * [progress]: picking best candidate 0.668 * * * * [pick]: Picked # 0.669 * * * [progress]: localizing error 0.689 * * * [progress]: generating rewritten candidates 0.689 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.696 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.739 * * * [progress]: generating series expansions 0.739 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.739 * [backup-simplify]: Simplify (+ (* x x) (* (* x 2.0) y)) into (+ (pow x 2) (* 2.0 (* x y))) 0.739 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.739 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [backup-simplify]: Simplify x into x 0.739 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.740 * [taylor]: Taking taylor expansion of 2.0 in y 0.740 * [backup-simplify]: Simplify 2.0 into 2.0 0.740 * [taylor]: Taking taylor expansion of (* x y) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.740 * [backup-simplify]: Simplify x into x 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.740 * [taylor]: Taking taylor expansion of 2.0 in x 0.740 * [backup-simplify]: Simplify 2.0 into 2.0 0.740 * [taylor]: Taking taylor expansion of (* x y) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of y in x 0.740 * [backup-simplify]: Simplify y into y 0.740 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.740 * [taylor]: Taking taylor expansion of 2.0 in x 0.740 * [backup-simplify]: Simplify 2.0 into 2.0 0.740 * [taylor]: Taking taylor expansion of (* x y) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of y in x 0.740 * [backup-simplify]: Simplify y into y 0.741 * [backup-simplify]: Simplify (* 0 y) into 0 0.741 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [taylor]: Taking taylor expansion of 0 in y 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.743 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.743 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.743 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.743 * [taylor]: Taking taylor expansion of 2.0 in y 0.743 * [backup-simplify]: Simplify 2.0 into 2.0 0.743 * [taylor]: Taking taylor expansion of y in y 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (* 1 1) into 1 0.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.747 * [backup-simplify]: Simplify (+ 1 0) into 1 0.747 * [taylor]: Taking taylor expansion of 1 in y 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.748 * [backup-simplify]: Simplify 2.0 into 2.0 0.748 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.750 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.752 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [taylor]: Taking taylor expansion of 0 in y 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.757 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [taylor]: Taking taylor expansion of 0 in y 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.758 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.758 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.758 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.759 * [backup-simplify]: Simplify x into x 0.759 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.759 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.759 * [taylor]: Taking taylor expansion of 2.0 in y 0.759 * [backup-simplify]: Simplify 2.0 into 2.0 0.759 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.759 * [taylor]: Taking taylor expansion of (* x y) in y 0.759 * [taylor]: Taking taylor expansion of x in y 0.759 * [backup-simplify]: Simplify x into x 0.759 * [taylor]: Taking taylor expansion of y in y 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (* x 0) into 0 0.760 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.760 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (* 1 1) into 1 0.761 * [backup-simplify]: Simplify (/ 1 1) into 1 0.761 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.761 * [taylor]: Taking taylor expansion of 2.0 in x 0.761 * [backup-simplify]: Simplify 2.0 into 2.0 0.761 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.761 * [taylor]: Taking taylor expansion of (* x y) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [taylor]: Taking taylor expansion of y in x 0.761 * [backup-simplify]: Simplify y into y 0.761 * [backup-simplify]: Simplify (* 0 y) into 0 0.761 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.761 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (* 1 1) into 1 0.762 * [backup-simplify]: Simplify (/ 1 1) into 1 0.762 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.762 * [taylor]: Taking taylor expansion of 2.0 in x 0.762 * [backup-simplify]: Simplify 2.0 into 2.0 0.763 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.763 * [taylor]: Taking taylor expansion of (* x y) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [backup-simplify]: Simplify y into y 0.763 * [backup-simplify]: Simplify (* 0 y) into 0 0.763 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.763 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.764 * [backup-simplify]: Simplify (+ 1 0) into 1 0.764 * [taylor]: Taking taylor expansion of 1 in y 0.764 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.766 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.766 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.766 * [taylor]: Taking taylor expansion of 2.0 in y 0.766 * [backup-simplify]: Simplify 2.0 into 2.0 0.766 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (/ 1 1) into 1 0.767 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.767 * [backup-simplify]: Simplify 2.0 into 2.0 0.767 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.771 * [backup-simplify]: Simplify (+ 0 0) into 0 0.771 * [taylor]: Taking taylor expansion of 0 in y 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.782 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.782 * [backup-simplify]: Simplify (+ 0 0) into 0 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [taylor]: Taking taylor expansion of 0 in y 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.791 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.791 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.791 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.791 * [taylor]: Taking taylor expansion of x in y 0.791 * [backup-simplify]: Simplify x into x 0.791 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.791 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.791 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.791 * [taylor]: Taking taylor expansion of 2.0 in y 0.791 * [backup-simplify]: Simplify 2.0 into 2.0 0.791 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.791 * [taylor]: Taking taylor expansion of (* x y) in y 0.791 * [taylor]: Taking taylor expansion of x in y 0.791 * [backup-simplify]: Simplify x into x 0.791 * [taylor]: Taking taylor expansion of y in y 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (* x 0) into 0 0.792 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.792 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.792 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.792 * [taylor]: Taking taylor expansion of x in x 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (* 1 1) into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.793 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.793 * [taylor]: Taking taylor expansion of 2.0 in x 0.793 * [backup-simplify]: Simplify 2.0 into 2.0 0.793 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.793 * [taylor]: Taking taylor expansion of (* x y) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [taylor]: Taking taylor expansion of y in x 0.793 * [backup-simplify]: Simplify y into y 0.793 * [backup-simplify]: Simplify (* 0 y) into 0 0.794 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.794 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (* 1 1) into 1 0.795 * [backup-simplify]: Simplify (/ 1 1) into 1 0.795 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.795 * [taylor]: Taking taylor expansion of 2.0 in x 0.795 * [backup-simplify]: Simplify 2.0 into 2.0 0.795 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.795 * [taylor]: Taking taylor expansion of (* x y) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [taylor]: Taking taylor expansion of y in x 0.795 * [backup-simplify]: Simplify y into y 0.795 * [backup-simplify]: Simplify (* 0 y) into 0 0.796 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.796 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.796 * [backup-simplify]: Simplify (+ 1 0) into 1 0.796 * [taylor]: Taking taylor expansion of 1 in y 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.798 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.798 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.798 * [taylor]: Taking taylor expansion of 2.0 in y 0.798 * [backup-simplify]: Simplify 2.0 into 2.0 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.799 * [backup-simplify]: Simplify (/ 1 1) into 1 0.799 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.799 * [backup-simplify]: Simplify 2.0 into 2.0 0.799 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.803 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.803 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.810 * [backup-simplify]: Simplify (+ 0 0) into 0 0.810 * [taylor]: Taking taylor expansion of 0 in y 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [taylor]: Taking taylor expansion of 0 in y 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.818 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.818 * [backup-simplify]: Simplify (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.818 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (x y) around 0 0.818 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.818 * [taylor]: Taking taylor expansion of x in y 0.818 * [backup-simplify]: Simplify x into x 0.818 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.818 * [taylor]: Taking taylor expansion of 2.0 in y 0.818 * [backup-simplify]: Simplify 2.0 into 2.0 0.818 * [taylor]: Taking taylor expansion of (* x y) in y 0.818 * [taylor]: Taking taylor expansion of x in y 0.818 * [backup-simplify]: Simplify x into x 0.818 * [taylor]: Taking taylor expansion of y in y 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.818 * [backup-simplify]: Simplify y into y 0.818 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.818 * [taylor]: Taking taylor expansion of 2.0 in x 0.818 * [backup-simplify]: Simplify 2.0 into 2.0 0.818 * [taylor]: Taking taylor expansion of (* x y) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [taylor]: Taking taylor expansion of y in x 0.818 * [backup-simplify]: Simplify y into y 0.818 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.818 * [backup-simplify]: Simplify y into y 0.818 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.819 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.819 * [taylor]: Taking taylor expansion of 2.0 in x 0.819 * [backup-simplify]: Simplify 2.0 into 2.0 0.819 * [taylor]: Taking taylor expansion of (* x y) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.819 * [taylor]: Taking taylor expansion of y in x 0.819 * [backup-simplify]: Simplify y into y 0.819 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.819 * [backup-simplify]: Simplify (* 0 y) into 0 0.819 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.819 * [backup-simplify]: Simplify (+ 0 0) into 0 0.820 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.820 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.820 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.820 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.820 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.820 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.820 * [taylor]: Taking taylor expansion of 2.0 in y 0.820 * [backup-simplify]: Simplify 2.0 into 2.0 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.821 * [backup-simplify]: Simplify (* 1 1) into 1 0.822 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.822 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.823 * [backup-simplify]: Simplify (+ 1 0) into 1 0.823 * [backup-simplify]: Simplify (+ 0 1) into 1 0.823 * [taylor]: Taking taylor expansion of 1 in y 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.824 * [backup-simplify]: Simplify 2.0 into 2.0 0.824 * [backup-simplify]: Simplify (* 1 1) into 1 0.824 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.825 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 0.825 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (* 1 1) into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.825 * [taylor]: Taking taylor expansion of x in y 0.826 * [backup-simplify]: Simplify x into x 0.826 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.826 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.826 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.826 * [taylor]: Taking taylor expansion of 2.0 in y 0.826 * [backup-simplify]: Simplify 2.0 into 2.0 0.826 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.826 * [taylor]: Taking taylor expansion of (* x y) in y 0.826 * [taylor]: Taking taylor expansion of x in y 0.826 * [backup-simplify]: Simplify x into x 0.826 * [taylor]: Taking taylor expansion of y in y 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (* x 0) into 0 0.826 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.826 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [backup-simplify]: Simplify y into y 0.826 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.826 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (* 1 1) into 1 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.827 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.827 * [taylor]: Taking taylor expansion of 2.0 in x 0.827 * [backup-simplify]: Simplify 2.0 into 2.0 0.827 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.827 * [taylor]: Taking taylor expansion of (* x y) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [backup-simplify]: Simplify y into y 0.827 * [backup-simplify]: Simplify (* 0 y) into 0 0.828 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.828 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.828 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.828 * [taylor]: Taking taylor expansion of y in x 0.828 * [backup-simplify]: Simplify y into y 0.828 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.828 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.828 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.828 * [taylor]: Taking taylor expansion of x in x 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (* 1 1) into 1 0.829 * [backup-simplify]: Simplify (/ 1 1) into 1 0.829 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.829 * [taylor]: Taking taylor expansion of 2.0 in x 0.829 * [backup-simplify]: Simplify 2.0 into 2.0 0.829 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.829 * [taylor]: Taking taylor expansion of (* x y) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [taylor]: Taking taylor expansion of y in x 0.829 * [backup-simplify]: Simplify y into y 0.829 * [backup-simplify]: Simplify (* 0 y) into 0 0.829 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.829 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.830 * [backup-simplify]: Simplify (+ 1 0) into 1 0.830 * [backup-simplify]: Simplify (+ 0 1) into 1 0.830 * [taylor]: Taking taylor expansion of 1 in y 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.831 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.831 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.831 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.831 * [taylor]: Taking taylor expansion of 2.0 in y 0.831 * [backup-simplify]: Simplify 2.0 into 2.0 0.831 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.832 * [backup-simplify]: Simplify (/ 1 1) into 1 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.834 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.834 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (* 1 1) into 1 0.835 * [backup-simplify]: Simplify (/ 1 1) into 1 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.835 * [backup-simplify]: Simplify 2.0 into 2.0 0.835 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.836 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 0.836 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.837 * [backup-simplify]: Simplify (* 1 1) into 1 0.837 * [backup-simplify]: Simplify (/ 1 1) into 1 0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.837 * [taylor]: Taking taylor expansion of x in y 0.837 * [backup-simplify]: Simplify x into x 0.837 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.837 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.837 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.837 * [taylor]: Taking taylor expansion of 2.0 in y 0.837 * [backup-simplify]: Simplify 2.0 into 2.0 0.837 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.837 * [taylor]: Taking taylor expansion of (* x y) in y 0.837 * [taylor]: Taking taylor expansion of x in y 0.837 * [backup-simplify]: Simplify x into x 0.837 * [taylor]: Taking taylor expansion of y in y 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 1 into 1 0.837 * [backup-simplify]: Simplify (* x 0) into 0 0.838 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.838 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.838 * [backup-simplify]: Simplify y into y 0.838 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.838 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.838 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (* 1 1) into 1 0.839 * [backup-simplify]: Simplify (/ 1 1) into 1 0.839 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.839 * [taylor]: Taking taylor expansion of 2.0 in x 0.839 * [backup-simplify]: Simplify 2.0 into 2.0 0.839 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.839 * [taylor]: Taking taylor expansion of (* x y) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 1 into 1 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [backup-simplify]: Simplify y into y 0.839 * [backup-simplify]: Simplify (* 0 y) into 0 0.839 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.839 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [backup-simplify]: Simplify y into y 0.839 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.839 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.839 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (* 1 1) into 1 0.840 * [backup-simplify]: Simplify (/ 1 1) into 1 0.840 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.840 * [taylor]: Taking taylor expansion of 2.0 in x 0.840 * [backup-simplify]: Simplify 2.0 into 2.0 0.840 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.840 * [taylor]: Taking taylor expansion of (* x y) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [taylor]: Taking taylor expansion of y in x 0.840 * [backup-simplify]: Simplify y into y 0.840 * [backup-simplify]: Simplify (* 0 y) into 0 0.840 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.840 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.841 * [backup-simplify]: Simplify (+ 1 0) into 1 0.841 * [backup-simplify]: Simplify (+ 0 1) into 1 0.841 * [taylor]: Taking taylor expansion of 1 in y 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.842 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.842 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.842 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.842 * [taylor]: Taking taylor expansion of 2.0 in y 0.842 * [backup-simplify]: Simplify 2.0 into 2.0 0.842 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (/ 1 1) into 1 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (* 1 1) into 1 0.845 * [backup-simplify]: Simplify (/ 1 1) into 1 0.845 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.846 * [backup-simplify]: Simplify 2.0 into 2.0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.846 * * * [progress]: simplifying candidates 0.847 * [simplify]: Simplifying: (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (expm1 (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (log1p (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.847 * * [simplify]: iteration 0: 61 enodes 0.861 * * [simplify]: iteration 1: 223 enodes 1.058 * * [simplify]: iteration 2: 1562 enodes 2.193 * * [simplify]: iteration complete: 5000 enodes 2.193 * * [simplify]: Extracting #0: cost 27 inf + 0 2.195 * * [simplify]: Extracting #1: cost 452 inf + 0 2.200 * * [simplify]: Extracting #2: cost 1382 inf + 46 2.215 * * [simplify]: Extracting #3: cost 846 inf + 2573 2.223 * * [simplify]: Extracting #4: cost 308 inf + 6286 2.235 * * [simplify]: Extracting #5: cost 25 inf + 9287 2.243 * * [simplify]: Extracting #6: cost 0 inf + 9603 2.250 * [simplify]: Simplified to: (expm1 (* x (fma y 2.0 x))) (log1p (* x (fma y 2.0 x))) (pow (exp x) (fma y 2.0 x)) (log (* x (fma y 2.0 x))) (pow (exp x) (fma y 2.0 x)) (* (cbrt (* x (fma y 2.0 x))) (cbrt (* x (fma y 2.0 x)))) (cbrt (* x (fma y 2.0 x))) (pow (* x (fma y 2.0 x)) 3) (sqrt (* x (fma y 2.0 x))) (sqrt (* x (fma y 2.0 x))) (+ (pow x 6) (pow (* (* x y) 2.0) 3)) (fma x (* (* 2.0 y) (* x (fma 2.0 y (- x)))) (pow x 4)) (* (* x (fma y 2.0 x)) (* x (- x (* 2.0 y)))) (* x (- x (* 2.0 y))) (expm1 (fma x (fma y 2.0 x) (* y y))) (log1p (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (log (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y)))) (cbrt (fma x (fma y 2.0 x) (* y y))) (pow (fma x (fma y 2.0 x) (* y y)) 3) (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (+ (pow y 6) (pow (* x (fma y 2.0 x)) 3)) (fma y (* y (fma y y (* (- x) (fma y 2.0 x)))) (* (* x x) (* (fma y 2.0 x) (fma y 2.0 x)))) (fma (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (- (pow y 4))) (fma x (fma y 2.0 x) (* y (- y))) (* y (fma 2.0 x y)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (fma x (fma y 2.0 x) (* y y)) (fma x (fma y 2.0 x) (* y y)) (fma x (fma y 2.0 x) (* y y)) 2.250 * * * [progress]: adding candidates to table 2.391 * * [progress]: iteration 3 / 4 2.391 * * * [progress]: picking best candidate 2.402 * * * * [pick]: Picked # 2.402 * * * [progress]: localizing error 2.427 * * * [progress]: generating rewritten candidates 2.427 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.436 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.437 * * * [progress]: generating series expansions 2.437 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.437 * [backup-simplify]: Simplify (+ (fma x x (* (* x 2.0) y)) (* y y)) into (+ (pow y 2) (fma x x (* 2.0 (* x y)))) 2.437 * [approximate]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in (x y) around 0 2.437 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in y 2.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.437 * [taylor]: Taking taylor expansion of y in y 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 2.437 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 2.437 * [taylor]: Taking taylor expansion of (* x x) in y 2.437 * [taylor]: Taking taylor expansion of x in y 2.437 * [backup-simplify]: Simplify x into x 2.437 * [taylor]: Taking taylor expansion of x in y 2.437 * [backup-simplify]: Simplify x into x 2.437 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 2.437 * [taylor]: Taking taylor expansion of 2.0 in y 2.437 * [backup-simplify]: Simplify 2.0 into 2.0 2.437 * [taylor]: Taking taylor expansion of (* x y) in y 2.437 * [taylor]: Taking taylor expansion of x in y 2.437 * [backup-simplify]: Simplify x into x 2.437 * [taylor]: Taking taylor expansion of y in y 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.437 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 2.437 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.437 * [taylor]: Taking taylor expansion of y in x 2.437 * [backup-simplify]: Simplify y into y 2.437 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 2.438 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 2.438 * [taylor]: Taking taylor expansion of (* x x) in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.438 * [taylor]: Taking taylor expansion of 2.0 in x 2.438 * [backup-simplify]: Simplify 2.0 into 2.0 2.438 * [taylor]: Taking taylor expansion of (* x y) in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [taylor]: Taking taylor expansion of y in x 2.438 * [backup-simplify]: Simplify y into y 2.438 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 2.438 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.438 * [taylor]: Taking taylor expansion of y in x 2.438 * [backup-simplify]: Simplify y into y 2.438 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 2.438 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 2.438 * [taylor]: Taking taylor expansion of (* x x) in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.438 * [taylor]: Taking taylor expansion of 2.0 in x 2.438 * [backup-simplify]: Simplify 2.0 into 2.0 2.438 * [taylor]: Taking taylor expansion of (* x y) in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 1 into 1 2.438 * [taylor]: Taking taylor expansion of y in x 2.438 * [backup-simplify]: Simplify y into y 2.438 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.439 * [backup-simplify]: Simplify (* 0 0) into 0 2.439 * [backup-simplify]: Simplify (* 0 y) into 0 2.439 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.439 * [backup-simplify]: Simplify (+ 0 0) into 0 2.439 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.440 * [taylor]: Taking taylor expansion of y in y 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.440 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.440 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.441 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 2.441 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 2.441 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 2.441 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 2.441 * [taylor]: Taking taylor expansion of 2.0 in y 2.441 * [backup-simplify]: Simplify 2.0 into 2.0 2.441 * [taylor]: Taking taylor expansion of y in y 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.441 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.443 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 2.443 * [backup-simplify]: Simplify (+ 1 0) into 1 2.443 * [backup-simplify]: Simplify (+ 0 1) into 1 2.443 * [taylor]: Taking taylor expansion of 1 in y 2.443 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify 1 into 1 2.444 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 2.444 * [backup-simplify]: Simplify 2.0 into 2.0 2.445 * [backup-simplify]: Simplify (* 1 1) into 1 2.445 * [backup-simplify]: Simplify 1 into 1 2.445 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.445 * [backup-simplify]: Simplify (+ (fma (/ 1 x) (/ 1 x) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) 2.445 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in (x y) around 0 2.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in y 2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.445 * [taylor]: Taking taylor expansion of y in y 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 1 into 1 2.446 * [backup-simplify]: Simplify (* 1 1) into 1 2.446 * [backup-simplify]: Simplify (/ 1 1) into 1 2.446 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 2.446 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 2.446 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.446 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.446 * [taylor]: Taking taylor expansion of x in y 2.446 * [backup-simplify]: Simplify x into x 2.446 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.446 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.446 * [taylor]: Taking taylor expansion of x in y 2.446 * [backup-simplify]: Simplify x into x 2.446 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.446 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 2.446 * [taylor]: Taking taylor expansion of 2.0 in y 2.446 * [backup-simplify]: Simplify 2.0 into 2.0 2.446 * [taylor]: Taking taylor expansion of (* x y) in y 2.446 * [taylor]: Taking taylor expansion of x in y 2.446 * [backup-simplify]: Simplify x into x 2.446 * [taylor]: Taking taylor expansion of y in y 2.446 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify 1 into 1 2.446 * [backup-simplify]: Simplify (* x 0) into 0 2.446 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.447 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 2.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 2.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.447 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.447 * [taylor]: Taking taylor expansion of y in x 2.447 * [backup-simplify]: Simplify y into y 2.447 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.447 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.447 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 2.447 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 2.447 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.447 * [taylor]: Taking taylor expansion of x in x 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 1 into 1 2.447 * [backup-simplify]: Simplify (/ 1 1) into 1 2.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.447 * [taylor]: Taking taylor expansion of x in x 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 1 into 1 2.447 * [backup-simplify]: Simplify (/ 1 1) into 1 2.448 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.448 * [taylor]: Taking taylor expansion of 2.0 in x 2.448 * [backup-simplify]: Simplify 2.0 into 2.0 2.448 * [taylor]: Taking taylor expansion of (* x y) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [taylor]: Taking taylor expansion of y in x 2.448 * [backup-simplify]: Simplify y into y 2.448 * [backup-simplify]: Simplify (* 0 y) into 0 2.448 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.448 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 2.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.448 * [taylor]: Taking taylor expansion of y in x 2.448 * [backup-simplify]: Simplify y into y 2.448 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.448 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.448 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 2.448 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 2.448 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (/ 1 1) into 1 2.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.449 * [taylor]: Taking taylor expansion of x in x 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [backup-simplify]: Simplify (/ 1 1) into 1 2.449 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.449 * [taylor]: Taking taylor expansion of 2.0 in x 2.449 * [backup-simplify]: Simplify 2.0 into 2.0 2.449 * [taylor]: Taking taylor expansion of (* x y) in x 2.449 * [taylor]: Taking taylor expansion of x in x 2.449 * [backup-simplify]: Simplify 0 into 0 2.449 * [backup-simplify]: Simplify 1 into 1 2.449 * [taylor]: Taking taylor expansion of y in x 2.449 * [backup-simplify]: Simplify y into y 2.449 * [backup-simplify]: Simplify (* 0 y) into 0 2.450 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.450 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.450 * [backup-simplify]: Simplify (* 1 1) into 1 2.450 * [backup-simplify]: Simplify (+ 1 0) into 1 2.450 * [backup-simplify]: Simplify (+ 0 1) into 1 2.450 * [taylor]: Taking taylor expansion of 1 in y 2.450 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.452 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.452 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 2.452 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.452 * [taylor]: Taking taylor expansion of 2.0 in y 2.452 * [backup-simplify]: Simplify 2.0 into 2.0 2.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.452 * [taylor]: Taking taylor expansion of y in y 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 1 into 1 2.452 * [backup-simplify]: Simplify (/ 1 1) into 1 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.454 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)))) into 0 2.455 * [backup-simplify]: Simplify (+ 0 0) into 0 2.455 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.455 * [taylor]: Taking taylor expansion of y in y 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 1 into 1 2.455 * [backup-simplify]: Simplify (* 1 1) into 1 2.455 * [backup-simplify]: Simplify (/ 1 1) into 1 2.455 * [backup-simplify]: Simplify 1 into 1 2.456 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.456 * [backup-simplify]: Simplify 2.0 into 2.0 2.456 * [backup-simplify]: Simplify 1 into 1 2.456 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.456 * [backup-simplify]: Simplify (+ (fma (/ 1 (- x)) (/ 1 (- x)) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) 2.456 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in (x y) around 0 2.456 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in y 2.456 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 2.456 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 2.457 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.457 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.457 * [taylor]: Taking taylor expansion of -1 in y 2.457 * [backup-simplify]: Simplify -1 into -1 2.457 * [taylor]: Taking taylor expansion of x in y 2.457 * [backup-simplify]: Simplify x into x 2.457 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.457 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.457 * [taylor]: Taking taylor expansion of -1 in y 2.457 * [backup-simplify]: Simplify -1 into -1 2.457 * [taylor]: Taking taylor expansion of x in y 2.457 * [backup-simplify]: Simplify x into x 2.457 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.457 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 2.457 * [taylor]: Taking taylor expansion of 2.0 in y 2.457 * [backup-simplify]: Simplify 2.0 into 2.0 2.457 * [taylor]: Taking taylor expansion of (* x y) in y 2.457 * [taylor]: Taking taylor expansion of x in y 2.457 * [backup-simplify]: Simplify x into x 2.457 * [taylor]: Taking taylor expansion of y in y 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 1 into 1 2.457 * [backup-simplify]: Simplify (* x 0) into 0 2.457 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.457 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 2.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.457 * [taylor]: Taking taylor expansion of y in y 2.457 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify (* 1 1) into 1 2.458 * [backup-simplify]: Simplify (/ 1 1) into 1 2.458 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 2.458 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 2.458 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 2.458 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.458 * [taylor]: Taking taylor expansion of -1 in x 2.458 * [backup-simplify]: Simplify -1 into -1 2.458 * [taylor]: Taking taylor expansion of x in x 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify (/ -1 1) into -1 2.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.458 * [taylor]: Taking taylor expansion of -1 in x 2.458 * [backup-simplify]: Simplify -1 into -1 2.458 * [taylor]: Taking taylor expansion of x in x 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.459 * [backup-simplify]: Simplify (/ -1 1) into -1 2.459 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.459 * [taylor]: Taking taylor expansion of 2.0 in x 2.459 * [backup-simplify]: Simplify 2.0 into 2.0 2.459 * [taylor]: Taking taylor expansion of (* x y) in x 2.459 * [taylor]: Taking taylor expansion of x in x 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.459 * [taylor]: Taking taylor expansion of y in x 2.459 * [backup-simplify]: Simplify y into y 2.459 * [backup-simplify]: Simplify (* 0 y) into 0 2.459 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.459 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.459 * [taylor]: Taking taylor expansion of y in x 2.459 * [backup-simplify]: Simplify y into y 2.459 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.459 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.459 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 2.459 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 2.459 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 2.459 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.460 * [taylor]: Taking taylor expansion of -1 in x 2.460 * [backup-simplify]: Simplify -1 into -1 2.460 * [taylor]: Taking taylor expansion of x in x 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (/ -1 1) into -1 2.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.460 * [taylor]: Taking taylor expansion of -1 in x 2.460 * [backup-simplify]: Simplify -1 into -1 2.460 * [taylor]: Taking taylor expansion of x in x 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (/ -1 1) into -1 2.460 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.460 * [taylor]: Taking taylor expansion of 2.0 in x 2.460 * [backup-simplify]: Simplify 2.0 into 2.0 2.460 * [taylor]: Taking taylor expansion of (* x y) in x 2.460 * [taylor]: Taking taylor expansion of x in x 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 1 into 1 2.460 * [taylor]: Taking taylor expansion of y in x 2.460 * [backup-simplify]: Simplify y into y 2.460 * [backup-simplify]: Simplify (* 0 y) into 0 2.461 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.461 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.461 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.461 * [taylor]: Taking taylor expansion of y in x 2.461 * [backup-simplify]: Simplify y into y 2.461 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.461 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.461 * [backup-simplify]: Simplify (* -1 -1) into 1 2.461 * [backup-simplify]: Simplify (+ 1 0) into 1 2.462 * [backup-simplify]: Simplify (+ 1 0) into 1 2.462 * [taylor]: Taking taylor expansion of 1 in y 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.463 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.463 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.463 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) 2.463 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.463 * [taylor]: Taking taylor expansion of 2.0 in y 2.463 * [backup-simplify]: Simplify 2.0 into 2.0 2.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.463 * [taylor]: Taking taylor expansion of y in y 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 1 into 1 2.464 * [backup-simplify]: Simplify (/ 1 1) into 1 2.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.466 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)))) into 0 2.466 * [backup-simplify]: Simplify (+ 0 0) into 0 2.466 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.466 * [taylor]: Taking taylor expansion of y in y 2.467 * [backup-simplify]: Simplify 0 into 0 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [backup-simplify]: Simplify (* 1 1) into 1 2.467 * [backup-simplify]: Simplify (/ 1 1) into 1 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.467 * [backup-simplify]: Simplify 2.0 into 2.0 2.467 * [backup-simplify]: Simplify 1 into 1 2.468 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 2.468 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.468 * [backup-simplify]: Simplify (fma x x (* (* x 2.0) y)) into (fma x x (* 2.0 (* x y))) 2.468 * [approximate]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in (x y) around 0 2.468 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 2.468 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 2.468 * [taylor]: Taking taylor expansion of (* x x) in y 2.468 * [taylor]: Taking taylor expansion of x in y 2.468 * [backup-simplify]: Simplify x into x 2.468 * [taylor]: Taking taylor expansion of x in y 2.468 * [backup-simplify]: Simplify x into x 2.468 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 2.468 * [taylor]: Taking taylor expansion of 2.0 in y 2.468 * [backup-simplify]: Simplify 2.0 into 2.0 2.468 * [taylor]: Taking taylor expansion of (* x y) in y 2.468 * [taylor]: Taking taylor expansion of x in y 2.468 * [backup-simplify]: Simplify x into x 2.468 * [taylor]: Taking taylor expansion of y in y 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 2.468 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 2.468 * [taylor]: Taking taylor expansion of (* x x) in x 2.468 * [taylor]: Taking taylor expansion of x in x 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.469 * [taylor]: Taking taylor expansion of x in x 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.469 * [taylor]: Taking taylor expansion of 2.0 in x 2.469 * [backup-simplify]: Simplify 2.0 into 2.0 2.469 * [taylor]: Taking taylor expansion of (* x y) in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [taylor]: Taking taylor expansion of y in x 2.469 * [backup-simplify]: Simplify y into y 2.469 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 2.469 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 2.469 * [taylor]: Taking taylor expansion of (* x x) in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [taylor]: Taking taylor expansion of x in x 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 2.469 * [taylor]: Taking taylor expansion of 2.0 in x 2.469 * [backup-simplify]: Simplify 2.0 into 2.0 2.469 * [taylor]: Taking taylor expansion of (* x y) in x 2.469 * [taylor]: Taking taylor expansion of x in x 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.469 * [taylor]: Taking taylor expansion of y in x 2.469 * [backup-simplify]: Simplify y into y 2.469 * [backup-simplify]: Simplify (* 0 0) into 0 2.469 * [backup-simplify]: Simplify (* 0 y) into 0 2.470 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.470 * [backup-simplify]: Simplify (+ 0 0) into 0 2.470 * [taylor]: Taking taylor expansion of 0 in y 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.471 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.471 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 2.471 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 2.471 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 2.471 * [taylor]: Taking taylor expansion of 2.0 in y 2.471 * [backup-simplify]: Simplify 2.0 into 2.0 2.471 * [taylor]: Taking taylor expansion of y in y 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.473 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.473 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 2.474 * [backup-simplify]: Simplify (+ 1 0) into 1 2.474 * [taylor]: Taking taylor expansion of 1 in y 2.474 * [backup-simplify]: Simplify 1 into 1 2.474 * [backup-simplify]: Simplify 1 into 1 2.476 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 2.476 * [backup-simplify]: Simplify 2.0 into 2.0 2.476 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.479 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [taylor]: Taking taylor expansion of 0 in y 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 2.481 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.484 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.485 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 2.486 * [backup-simplify]: Simplify (+ 0 0) into 0 2.486 * [taylor]: Taking taylor expansion of 0 in y 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 2.486 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (* (/ 1 x) 2.0) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) 2.486 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in (x y) around 0 2.486 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 2.487 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 2.487 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.487 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.487 * [taylor]: Taking taylor expansion of x in y 2.487 * [backup-simplify]: Simplify x into x 2.487 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.487 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.487 * [taylor]: Taking taylor expansion of x in y 2.487 * [backup-simplify]: Simplify x into x 2.487 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.487 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 2.487 * [taylor]: Taking taylor expansion of 2.0 in y 2.487 * [backup-simplify]: Simplify 2.0 into 2.0 2.487 * [taylor]: Taking taylor expansion of (* x y) in y 2.487 * [taylor]: Taking taylor expansion of x in y 2.487 * [backup-simplify]: Simplify x into x 2.487 * [taylor]: Taking taylor expansion of y in y 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify 1 into 1 2.487 * [backup-simplify]: Simplify (* x 0) into 0 2.488 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.488 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 2.488 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 2.488 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 2.488 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.488 * [taylor]: Taking taylor expansion of x in x 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 1 into 1 2.488 * [backup-simplify]: Simplify (/ 1 1) into 1 2.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.489 * [taylor]: Taking taylor expansion of x in x 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.489 * [backup-simplify]: Simplify (/ 1 1) into 1 2.489 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.489 * [taylor]: Taking taylor expansion of 2.0 in x 2.489 * [backup-simplify]: Simplify 2.0 into 2.0 2.489 * [taylor]: Taking taylor expansion of (* x y) in x 2.489 * [taylor]: Taking taylor expansion of x in x 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.489 * [taylor]: Taking taylor expansion of y in x 2.489 * [backup-simplify]: Simplify y into y 2.489 * [backup-simplify]: Simplify (* 0 y) into 0 2.490 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.490 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.490 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 2.490 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 2.490 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.490 * [taylor]: Taking taylor expansion of x in x 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (/ 1 1) into 1 2.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.491 * [taylor]: Taking taylor expansion of x in x 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (/ 1 1) into 1 2.491 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.491 * [taylor]: Taking taylor expansion of 2.0 in x 2.491 * [backup-simplify]: Simplify 2.0 into 2.0 2.491 * [taylor]: Taking taylor expansion of (* x y) in x 2.491 * [taylor]: Taking taylor expansion of x in x 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [taylor]: Taking taylor expansion of y in x 2.491 * [backup-simplify]: Simplify y into y 2.491 * [backup-simplify]: Simplify (* 0 y) into 0 2.492 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.492 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.492 * [backup-simplify]: Simplify (* 1 1) into 1 2.493 * [backup-simplify]: Simplify (+ 1 0) into 1 2.493 * [taylor]: Taking taylor expansion of 1 in y 2.493 * [backup-simplify]: Simplify 1 into 1 2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.495 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.495 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.495 * [taylor]: Taking taylor expansion of 2.0 in y 2.495 * [backup-simplify]: Simplify 2.0 into 2.0 2.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.495 * [taylor]: Taking taylor expansion of y in y 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 1 into 1 2.496 * [backup-simplify]: Simplify (/ 1 1) into 1 2.496 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.496 * [backup-simplify]: Simplify 2.0 into 2.0 2.496 * [backup-simplify]: Simplify 1 into 1 2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.500 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)))) into 0 2.500 * [backup-simplify]: Simplify (+ 0 0) into 0 2.501 * [taylor]: Taking taylor expansion of 0 in y 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.504 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.504 * [backup-simplify]: Simplify (+ 0 0) into 0 2.504 * [taylor]: Taking taylor expansion of 0 in y 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.505 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.508 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.508 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.508 * [backup-simplify]: Simplify (+ 0 0) into 0 2.509 * [taylor]: Taking taylor expansion of 0 in y 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 2.509 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) 2.509 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in (x y) around 0 2.509 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 2.509 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 2.509 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.509 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.509 * [taylor]: Taking taylor expansion of -1 in y 2.509 * [backup-simplify]: Simplify -1 into -1 2.509 * [taylor]: Taking taylor expansion of x in y 2.509 * [backup-simplify]: Simplify x into x 2.509 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.509 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.509 * [taylor]: Taking taylor expansion of -1 in y 2.509 * [backup-simplify]: Simplify -1 into -1 2.509 * [taylor]: Taking taylor expansion of x in y 2.509 * [backup-simplify]: Simplify x into x 2.509 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.509 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 2.509 * [taylor]: Taking taylor expansion of 2.0 in y 2.509 * [backup-simplify]: Simplify 2.0 into 2.0 2.509 * [taylor]: Taking taylor expansion of (* x y) in y 2.509 * [taylor]: Taking taylor expansion of x in y 2.510 * [backup-simplify]: Simplify x into x 2.510 * [taylor]: Taking taylor expansion of y in y 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (* x 0) into 0 2.510 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.510 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 2.510 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 2.510 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 2.510 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.510 * [taylor]: Taking taylor expansion of -1 in x 2.510 * [backup-simplify]: Simplify -1 into -1 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (/ -1 1) into -1 2.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.510 * [taylor]: Taking taylor expansion of -1 in x 2.510 * [backup-simplify]: Simplify -1 into -1 2.510 * [taylor]: Taking taylor expansion of x in x 2.510 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [backup-simplify]: Simplify (/ -1 1) into -1 2.511 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.511 * [taylor]: Taking taylor expansion of 2.0 in x 2.511 * [backup-simplify]: Simplify 2.0 into 2.0 2.511 * [taylor]: Taking taylor expansion of (* x y) in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.511 * [taylor]: Taking taylor expansion of y in x 2.511 * [backup-simplify]: Simplify y into y 2.511 * [backup-simplify]: Simplify (* 0 y) into 0 2.511 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.511 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.511 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 2.511 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 2.511 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.511 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.511 * [taylor]: Taking taylor expansion of -1 in x 2.511 * [backup-simplify]: Simplify -1 into -1 2.511 * [taylor]: Taking taylor expansion of x in x 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify (/ -1 1) into -1 2.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.512 * [taylor]: Taking taylor expansion of -1 in x 2.512 * [backup-simplify]: Simplify -1 into -1 2.512 * [taylor]: Taking taylor expansion of x in x 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify (/ -1 1) into -1 2.512 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 2.512 * [taylor]: Taking taylor expansion of 2.0 in x 2.512 * [backup-simplify]: Simplify 2.0 into 2.0 2.512 * [taylor]: Taking taylor expansion of (* x y) in x 2.512 * [taylor]: Taking taylor expansion of x in x 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [taylor]: Taking taylor expansion of y in x 2.512 * [backup-simplify]: Simplify y into y 2.512 * [backup-simplify]: Simplify (* 0 y) into 0 2.513 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.513 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 2.513 * [backup-simplify]: Simplify (* -1 -1) into 1 2.513 * [backup-simplify]: Simplify (+ 1 0) into 1 2.513 * [taylor]: Taking taylor expansion of 1 in y 2.513 * [backup-simplify]: Simplify 1 into 1 2.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.515 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.515 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 2.515 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.515 * [taylor]: Taking taylor expansion of 2.0 in y 2.515 * [backup-simplify]: Simplify 2.0 into 2.0 2.515 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.515 * [taylor]: Taking taylor expansion of y in y 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 1 into 1 2.515 * [backup-simplify]: Simplify (/ 1 1) into 1 2.515 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 2.515 * [backup-simplify]: Simplify 2.0 into 2.0 2.515 * [backup-simplify]: Simplify 1 into 1 2.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.517 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.518 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)))) into 0 2.518 * [backup-simplify]: Simplify (+ 0 0) into 0 2.518 * [taylor]: Taking taylor expansion of 0 in y 2.518 * [backup-simplify]: Simplify 0 into 0 2.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 2.524 * [backup-simplify]: Simplify 0 into 0 2.524 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.527 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.527 * [backup-simplify]: Simplify (+ 0 0) into 0 2.527 * [taylor]: Taking taylor expansion of 0 in y 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.528 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.530 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.531 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.531 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.531 * [backup-simplify]: Simplify (+ 0 0) into 0 2.531 * [taylor]: Taking taylor expansion of 0 in y 2.531 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 2.532 * * * [progress]: simplifying candidates 2.533 * [simplify]: Simplifying: (expm1 (+ (fma x x (* (* x 2.0) y)) (* y y))) (log1p (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (exp (fma x x (* (* x 2.0) y))) (exp (* y y))) (log (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y)))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (* (+ (fma x x (* (* x 2.0) y)) (* y y)) (+ (fma x x (* (* x 2.0) y)) (* y y))) (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (+ (pow (fma x x (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (fma x x (* (* x 2.0) y)) (* y y)))) (- (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (* (* y y) (* y y))) (- (fma x x (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (expm1 (fma x x (* (* x 2.0) y))) (log1p (fma x x (* (* x 2.0) y))) (* x x) (log (fma x x (* (* x 2.0) y))) (exp (fma x x (* (* x 2.0) y))) (* (cbrt (fma x x (* (* x 2.0) y))) (cbrt (fma x x (* (* x 2.0) y)))) (cbrt (fma x x (* (* x 2.0) y))) (* (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 2.534 * * [simplify]: iteration 0: 47 enodes 2.552 * * [simplify]: iteration 1: 130 enodes 2.607 * * [simplify]: iteration 2: 730 enodes 3.182 * * [simplify]: iteration complete: 5002 enodes 3.182 * * [simplify]: Extracting #0: cost 24 inf + 0 3.184 * * [simplify]: Extracting #1: cost 398 inf + 0 3.202 * * [simplify]: Extracting #2: cost 1876 inf + 173 3.214 * * [simplify]: Extracting #3: cost 1492 inf + 5569 3.227 * * [simplify]: Extracting #4: cost 112 inf + 28106 3.239 * * [simplify]: Extracting #5: cost 10 inf + 29186 3.251 * * [simplify]: Extracting #6: cost 0 inf + 29278 3.263 * [simplify]: Simplified to: (expm1 (fma y y (* x (fma 2.0 y x)))) (log1p (fma y y (* x (fma 2.0 y x)))) (exp (fma y y (* x (fma 2.0 y x)))) (log (fma y y (* x (fma 2.0 y x)))) (exp (fma y y (* x (fma 2.0 y x)))) (* (cbrt (fma y y (* x (fma 2.0 y x)))) (cbrt (fma y y (* x (fma 2.0 y x))))) (cbrt (fma y y (* x (fma 2.0 y x)))) (pow (fma y y (* x (fma 2.0 y x))) 3) (sqrt (fma y y (* x (fma 2.0 y x)))) (sqrt (fma y y (* x (fma 2.0 y x)))) (+ (pow y 6) (pow (* x (fma 2.0 y x)) 3)) (fma (* y y) (- (* y y) (* x (fma 2.0 y x))) (* (* x x) (* (fma 2.0 y x) (fma 2.0 y x)))) (- (* (* x x) (* (fma 2.0 y x) (fma 2.0 y x))) (pow y 4)) (fma x (fma 2.0 y x) (- (* y y))) (* y (fma 2.0 x y)) (expm1 (* x (fma 2.0 y x))) (log1p (* x (fma 2.0 y x))) (* x x) (log (* x (fma 2.0 y x))) (pow (exp x) (fma 2.0 y x)) (* (cbrt (* x (fma 2.0 y x))) (cbrt (* x (fma 2.0 y x)))) (cbrt (* x (fma 2.0 y x))) (pow (* x (fma 2.0 y x)) 3) (sqrt (* x (fma 2.0 y x))) (sqrt (* x (fma 2.0 y x))) (fma y y (* x (fma 2.0 y x))) (fma y y (* x (fma 2.0 y x))) (fma y y (* x (fma 2.0 y x))) (* x (fma 2.0 y x)) (* x (fma 2.0 y x)) (* x (fma 2.0 y x)) 3.264 * * * [progress]: adding candidates to table 3.411 * * [progress]: iteration 4 / 4 3.411 * * * [progress]: picking best candidate 3.417 * * * * [pick]: Picked # 3.417 * * * [progress]: localizing error 3.435 * * * [progress]: generating rewritten candidates 3.435 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 3.448 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 3.449 * * * [progress]: generating series expansions 3.449 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 3.450 * [backup-simplify]: Simplify (* x (fma 2.0 y x)) into (* x (fma 2.0 y x)) 3.450 * [approximate]: Taking taylor expansion of (* x (fma 2.0 y x)) in (x y) around 0 3.450 * [taylor]: Taking taylor expansion of (* x (fma 2.0 y x)) in y 3.450 * [taylor]: Taking taylor expansion of x in y 3.450 * [backup-simplify]: Simplify x into x 3.450 * [taylor]: Taking taylor expansion of (fma 2.0 y x) in y 3.450 * [taylor]: Rewrote expression to (+ (* 2.0 y) x) 3.450 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 3.450 * [taylor]: Taking taylor expansion of 2.0 in y 3.450 * [backup-simplify]: Simplify 2.0 into 2.0 3.450 * [taylor]: Taking taylor expansion of y in y 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [taylor]: Taking taylor expansion of x in y 3.450 * [backup-simplify]: Simplify x into x 3.450 * [taylor]: Taking taylor expansion of (* x (fma 2.0 y x)) in x 3.450 * [taylor]: Taking taylor expansion of x in x 3.450 * [backup-simplify]: Simplify 0 into 0 3.450 * [backup-simplify]: Simplify 1 into 1 3.450 * [taylor]: Taking taylor expansion of (fma 2.0 y x) in x 3.450 * [taylor]: Rewrote expression to (+ (* 2.0 y) x) 3.450 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 3.450 * [taylor]: Taking taylor expansion of 2.0 in x 3.450 * [backup-simplify]: Simplify 2.0 into 2.0 3.451 * [taylor]: Taking taylor expansion of y in x 3.451 * [backup-simplify]: Simplify y into y 3.451 * [taylor]: Taking taylor expansion of x in x 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [taylor]: Taking taylor expansion of (* x (fma 2.0 y x)) in x 3.451 * [taylor]: Taking taylor expansion of x in x 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [taylor]: Taking taylor expansion of (fma 2.0 y x) in x 3.451 * [taylor]: Rewrote expression to (+ (* 2.0 y) x) 3.451 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 3.451 * [taylor]: Taking taylor expansion of 2.0 in x 3.451 * [backup-simplify]: Simplify 2.0 into 2.0 3.451 * [taylor]: Taking taylor expansion of y in x 3.451 * [backup-simplify]: Simplify y into y 3.451 * [taylor]: Taking taylor expansion of x in x 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (* 2.0 y) into (* 2.0 y) 3.451 * [backup-simplify]: Simplify (+ (* 2.0 y) 0) into (* 2.0 y) 3.451 * [backup-simplify]: Simplify (* 0 (* 2.0 y)) into 0 3.451 * [taylor]: Taking taylor expansion of 0 in y 3.451 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 y)) into 0 3.453 * [backup-simplify]: Simplify (+ 0 1) into 1 3.453 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 y))) into (* 2.0 y) 3.453 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 3.453 * [taylor]: Taking taylor expansion of 2.0 in y 3.453 * [backup-simplify]: Simplify 2.0 into 2.0 3.453 * [taylor]: Taking taylor expansion of y in y 3.453 * [backup-simplify]: Simplify 0 into 0 3.453 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify 0 into 0 3.455 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 y))) into 0 3.455 * [backup-simplify]: Simplify (+ 0 0) into 0 3.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 y)))) into 1 3.456 * [taylor]: Taking taylor expansion of 1 in y 3.456 * [backup-simplify]: Simplify 1 into 1 3.456 * [backup-simplify]: Simplify 1 into 1 3.458 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 3.458 * [backup-simplify]: Simplify 2.0 into 2.0 3.458 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.459 * [backup-simplify]: Simplify (+ 0 0) into 0 3.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2.0 y))))) into 0 3.461 * [taylor]: Taking taylor expansion of 0 in y 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.461 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify 0 into 0 3.467 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.468 * [backup-simplify]: Simplify (+ 0 0) into 0 3.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2.0 y)))))) into 0 3.469 * [taylor]: Taking taylor expansion of 0 in y 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 3.469 * [backup-simplify]: Simplify (* (/ 1 x) (fma 2.0 (/ 1 y) (/ 1 x))) into (/ (fma 2.0 (/ 1 y) (/ 1 x)) x) 3.469 * [approximate]: Taking taylor expansion of (/ (fma 2.0 (/ 1 y) (/ 1 x)) x) in (x y) around 0 3.469 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 y) (/ 1 x)) x) in y 3.469 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 y) (/ 1 x)) in y 3.469 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 y)) (/ 1 x)) 3.469 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 3.469 * [taylor]: Taking taylor expansion of 2.0 in y 3.469 * [backup-simplify]: Simplify 2.0 into 2.0 3.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.469 * [taylor]: Taking taylor expansion of y in y 3.469 * [backup-simplify]: Simplify 0 into 0 3.469 * [backup-simplify]: Simplify 1 into 1 3.470 * [backup-simplify]: Simplify (/ 1 1) into 1 3.470 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.470 * [taylor]: Taking taylor expansion of x in y 3.470 * [backup-simplify]: Simplify x into x 3.470 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.470 * [taylor]: Taking taylor expansion of x in y 3.470 * [backup-simplify]: Simplify x into x 3.470 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 3.471 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 3.471 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 3.471 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 y) (/ 1 x)) x) in x 3.471 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 y) (/ 1 x)) in x 3.471 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 y)) (/ 1 x)) 3.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 3.471 * [taylor]: Taking taylor expansion of 2.0 in x 3.471 * [backup-simplify]: Simplify 2.0 into 2.0 3.471 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.471 * [taylor]: Taking taylor expansion of y in x 3.472 * [backup-simplify]: Simplify y into y 3.472 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.472 * [taylor]: Taking taylor expansion of x in x 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (/ 1 1) into 1 3.472 * [taylor]: Taking taylor expansion of x in x 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 1 into 1 3.472 * [backup-simplify]: Simplify (+ 0 1) into 1 3.473 * [backup-simplify]: Simplify (/ 1 1) into 1 3.473 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 y) (/ 1 x)) x) in x 3.473 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 y) (/ 1 x)) in x 3.473 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 y)) (/ 1 x)) 3.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 3.473 * [taylor]: Taking taylor expansion of 2.0 in x 3.473 * [backup-simplify]: Simplify 2.0 into 2.0 3.473 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.473 * [taylor]: Taking taylor expansion of y in x 3.473 * [backup-simplify]: Simplify y into y 3.473 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.473 * [taylor]: Taking taylor expansion of x in x 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.473 * [backup-simplify]: Simplify (/ 1 1) into 1 3.473 * [taylor]: Taking taylor expansion of x in x 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 1 into 1 3.474 * [backup-simplify]: Simplify (+ 0 1) into 1 3.474 * [backup-simplify]: Simplify (/ 1 1) into 1 3.474 * [taylor]: Taking taylor expansion of 1 in y 3.474 * [backup-simplify]: Simplify 1 into 1 3.474 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 3.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.475 * [backup-simplify]: Simplify (+ (/ 2.0 y) 0) into (* 2.0 (/ 1 y)) 3.475 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 3.475 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 3.475 * [taylor]: Taking taylor expansion of 2.0 in y 3.475 * [backup-simplify]: Simplify 2.0 into 2.0 3.475 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.475 * [taylor]: Taking taylor expansion of y in y 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.476 * [backup-simplify]: Simplify (/ 1 1) into 1 3.476 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 3.476 * [backup-simplify]: Simplify 2.0 into 2.0 3.476 * [backup-simplify]: Simplify 1 into 1 3.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.476 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 3.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.477 * [backup-simplify]: Simplify (+ 0 0) into 0 3.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 3.478 * [taylor]: Taking taylor expansion of 0 in y 3.478 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.479 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.480 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 3.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.481 * [backup-simplify]: Simplify (+ 0 0) into 0 3.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.482 * [taylor]: Taking taylor expansion of 0 in y 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.483 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.484 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.486 * [taylor]: Taking taylor expansion of 0 in y 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify 0 into 0 3.486 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 3.486 * [backup-simplify]: Simplify (* (/ 1 (- x)) (fma 2.0 (/ 1 (- y)) (/ 1 (- x)))) into (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x)) 3.486 * [approximate]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x)) in (x y) around 0 3.487 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x)) in y 3.487 * [taylor]: Taking taylor expansion of -1 in y 3.487 * [backup-simplify]: Simplify -1 into -1 3.487 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 y) (/ -1 x)) x) in y 3.487 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 y) (/ -1 x)) in y 3.487 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 y)) (/ -1 x)) 3.487 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 y)) in y 3.487 * [taylor]: Taking taylor expansion of 2.0 in y 3.487 * [backup-simplify]: Simplify 2.0 into 2.0 3.487 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.487 * [taylor]: Taking taylor expansion of -1 in y 3.487 * [backup-simplify]: Simplify -1 into -1 3.487 * [taylor]: Taking taylor expansion of y in y 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 1 into 1 3.487 * [backup-simplify]: Simplify (/ -1 1) into -1 3.487 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.487 * [taylor]: Taking taylor expansion of -1 in y 3.487 * [backup-simplify]: Simplify -1 into -1 3.487 * [taylor]: Taking taylor expansion of x in y 3.487 * [backup-simplify]: Simplify x into x 3.487 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.487 * [taylor]: Taking taylor expansion of x in y 3.487 * [backup-simplify]: Simplify x into x 3.488 * [backup-simplify]: Simplify (* 2.0 -1) into -2.0 3.488 * [backup-simplify]: Simplify (+ -2.0 0) into (- 2.0) 3.488 * [backup-simplify]: Simplify (/ (- 2.0) x) into (/ -2.0 x) 3.488 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x)) in x 3.488 * [taylor]: Taking taylor expansion of -1 in x 3.488 * [backup-simplify]: Simplify -1 into -1 3.488 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 y) (/ -1 x)) x) in x 3.488 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 y) (/ -1 x)) in x 3.488 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 y)) (/ -1 x)) 3.488 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 y)) in x 3.488 * [taylor]: Taking taylor expansion of 2.0 in x 3.488 * [backup-simplify]: Simplify 2.0 into 2.0 3.488 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.488 * [taylor]: Taking taylor expansion of -1 in x 3.488 * [backup-simplify]: Simplify -1 into -1 3.488 * [taylor]: Taking taylor expansion of y in x 3.488 * [backup-simplify]: Simplify y into y 3.488 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 3.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.489 * [taylor]: Taking taylor expansion of -1 in x 3.489 * [backup-simplify]: Simplify -1 into -1 3.489 * [taylor]: Taking taylor expansion of x in x 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 1 into 1 3.489 * [backup-simplify]: Simplify (/ -1 1) into -1 3.489 * [taylor]: Taking taylor expansion of x in x 3.489 * [backup-simplify]: Simplify 0 into 0 3.489 * [backup-simplify]: Simplify 1 into 1 3.489 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.489 * [backup-simplify]: Simplify (/ -1 1) into -1 3.489 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x)) in x 3.489 * [taylor]: Taking taylor expansion of -1 in x 3.489 * [backup-simplify]: Simplify -1 into -1 3.490 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 y) (/ -1 x)) x) in x 3.490 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 y) (/ -1 x)) in x 3.490 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 y)) (/ -1 x)) 3.490 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 y)) in x 3.490 * [taylor]: Taking taylor expansion of 2.0 in x 3.490 * [backup-simplify]: Simplify 2.0 into 2.0 3.490 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.490 * [taylor]: Taking taylor expansion of -1 in x 3.490 * [backup-simplify]: Simplify -1 into -1 3.490 * [taylor]: Taking taylor expansion of y in x 3.490 * [backup-simplify]: Simplify y into y 3.490 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 3.490 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.490 * [taylor]: Taking taylor expansion of -1 in x 3.490 * [backup-simplify]: Simplify -1 into -1 3.490 * [taylor]: Taking taylor expansion of x in x 3.490 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify 1 into 1 3.490 * [backup-simplify]: Simplify (/ -1 1) into -1 3.490 * [taylor]: Taking taylor expansion of x in x 3.490 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify 1 into 1 3.490 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.491 * [backup-simplify]: Simplify (/ -1 1) into -1 3.491 * [backup-simplify]: Simplify (* -1 -1) into 1 3.491 * [taylor]: Taking taylor expansion of 1 in y 3.491 * [backup-simplify]: Simplify 1 into 1 3.491 * [backup-simplify]: Simplify (* 2.0 (/ -1 y)) into (/ -2.0 y) 3.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.492 * [backup-simplify]: Simplify (+ (/ -2.0 y) 0) into (- (* 2.0 (/ 1 y))) 3.492 * [backup-simplify]: Simplify (- (/ (- (* 2.0 (/ 1 y))) 1) (+ (* -1 (/ 0 1)))) into (- (* 2.0 (/ 1 y))) 3.492 * [backup-simplify]: Simplify (+ (* -1 (- (* 2.0 (/ 1 y)))) (* 0 -1)) into (* 2.0 (/ 1 y)) 3.493 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 3.493 * [taylor]: Taking taylor expansion of 2.0 in y 3.493 * [backup-simplify]: Simplify 2.0 into 2.0 3.493 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.493 * [taylor]: Taking taylor expansion of y in y 3.493 * [backup-simplify]: Simplify 0 into 0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (/ 1 1) into 1 3.493 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 3.493 * [backup-simplify]: Simplify 2.0 into 2.0 3.493 * [backup-simplify]: Simplify 1 into 1 3.493 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 3.494 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ -1 y))) into 0 3.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.494 * [backup-simplify]: Simplify (+ 0 0) into 0 3.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2.0 (/ 1 y))) (/ 0 1)))) into 0 3.496 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2.0 (/ 1 y)))) (* 0 -1))) into 0 3.496 * [taylor]: Taking taylor expansion of 0 in y 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.497 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.497 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 3.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.498 * [backup-simplify]: Simplify (+ 0 0) into 0 3.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2.0 (/ 1 y))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.501 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (* 2.0 (/ 1 y)))) (* 0 -1)))) into 0 3.501 * [taylor]: Taking taylor expansion of 0 in y 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 0 into 0 3.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.503 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.504 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0 3.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.506 * [backup-simplify]: Simplify (+ 0 0) into 0 3.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2.0 (/ 1 y))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 2.0 (/ 1 y)))) (* 0 -1))))) into 0 3.510 * [taylor]: Taking taylor expansion of 0 in y 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 3.511 * * * * [progress]: [ 2 / 2 ] generating series at (2) 3.511 * [backup-simplify]: Simplify (fma y y (* x (fma 2.0 y x))) into (fma y y (* x (fma 2.0 y x))) 3.511 * [approximate]: Taking taylor expansion of (fma y y (* x (fma 2.0 y x))) in (y x) around 0 3.511 * [taylor]: Taking taylor expansion of (fma y y (* x (fma 2.0 y x))) in x 3.511 * [taylor]: Rewrote expression to (+ (* y y) (* x (fma 2.0 y x))) 3.511 * [taylor]: Taking taylor expansion of (* y y) in x 3.511 * [taylor]: Taking taylor expansion of y in x 3.511 * [backup-simplify]: Simplify y into y 3.511 * [taylor]: Taking taylor expansion of y in x 3.511 * [backup-simplify]: Simplify y into y 3.511 * [taylor]: Taking taylor expansion of (* x (fma 2.0 y x)) in x 3.511 * [taylor]: Taking taylor expansion of x in x 3.511 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of (fma 2.0 y x) in x 3.512 * [taylor]: Rewrote expression to (+ (* 2.0 y) x) 3.512 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 3.512 * [taylor]: Taking taylor expansion of 2.0 in x 3.512 * [backup-simplify]: Simplify 2.0 into 2.0 3.512 * [taylor]: Taking taylor expansion of y in x 3.512 * [backup-simplify]: Simplify y into y 3.512 * [taylor]: Taking taylor expansion of x in x 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of (fma y y (* x (fma 2.0 y x))) in y 3.512 * [taylor]: Rewrote expression to (+ (* y y) (* x (fma 2.0 y x))) 3.512 * [taylor]: Taking taylor expansion of (* y y) in y 3.512 * [taylor]: Taking taylor expansion of y in y 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of y in y 3.512 * [backup-simplify]: Simplify 0 into 0 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [taylor]: Taking taylor expansion of (* x (fma 2.0 y x)) in y 3.512 * [taylor]: Taking taylor expansion of x in y 3.512 * [backup-simplify]: Simplify x into x 3.512 * [taylor]: Taking taylor expansion of (fma 2.0 y x) in y 3.513 * [taylor]: Rewrote expression to (+ (* 2.0 y) x) 3.513 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 3.513 * [taylor]: Taking taylor expansion of 2.0 in y 3.513 * [backup-simplify]: Simplify 2.0 into 2.0 3.513 * [taylor]: Taking taylor expansion of y in y 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [taylor]: Taking taylor expansion of x in y 3.513 * [backup-simplify]: Simplify x into x 3.513 * [taylor]: Taking taylor expansion of (fma y y (* x (fma 2.0 y x))) in y 3.513 * [taylor]: Rewrote expression to (+ (* y y) (* x (fma 2.0 y x))) 3.513 * [taylor]: Taking taylor expansion of (* y y) in y 3.513 * [taylor]: Taking taylor expansion of y in y 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [taylor]: Taking taylor expansion of y in y 3.513 * [backup-simplify]: Simplify 0 into 0 3.513 * [backup-simplify]: Simplify 1 into 1 3.513 * [taylor]: Taking taylor expansion of (* x (fma 2.0 y x)) in y 3.513 * [taylor]: Taking taylor expansion of x in y 3.513 * [backup-simplify]: Simplify x into x 3.513 * [taylor]: Taking taylor expansion of (fma 2.0 y x) in y 3.513 * [taylor]: Rewrote expression to (+ (* 2.0 y) x) 3.513 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 3.513 * [taylor]: Taking taylor expansion of 2.0 in y 3.514 * [backup-simplify]: Simplify 2.0 into 2.0 3.514 * [taylor]: Taking taylor expansion of y in y 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [taylor]: Taking taylor expansion of x in y 3.514 * [backup-simplify]: Simplify x into x 3.514 * [backup-simplify]: Simplify (* 0 0) into 0 3.515 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.515 * [backup-simplify]: Simplify (+ 0 x) into x 3.515 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.515 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.515 * [taylor]: Taking taylor expansion of x in x 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 1 into 1 3.516 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.517 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 3.518 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 3.518 * [backup-simplify]: Simplify (+ (* x 2.0) (* 0 x)) into (* 2.0 x) 3.518 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 3.518 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 3.518 * [taylor]: Taking taylor expansion of 2.0 in x 3.518 * [backup-simplify]: Simplify 2.0 into 2.0 3.518 * [taylor]: Taking taylor expansion of x in x 3.518 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify 1 into 1 3.519 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.519 * [backup-simplify]: Simplify 0 into 0 3.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.520 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 3.521 * [backup-simplify]: Simplify (+ 0 0) into 0 3.521 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 2.0) (* 0 x))) into 0 3.522 * [backup-simplify]: Simplify (+ 1 0) into 1 3.522 * [taylor]: Taking taylor expansion of 1 in x 3.522 * [backup-simplify]: Simplify 1 into 1 3.522 * [backup-simplify]: Simplify 1 into 1 3.524 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 3.524 * [backup-simplify]: Simplify 2.0 into 2.0 3.524 * [backup-simplify]: Simplify (* 1 1) into 1 3.524 * [backup-simplify]: Simplify 1 into 1 3.525 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 3.525 * [backup-simplify]: Simplify (fma (/ 1 y) (/ 1 y) (* (/ 1 x) (fma 2.0 (/ 1 y) (/ 1 x)))) into (fma (/ 1 y) (/ 1 y) (/ (fma 2.0 (/ 1 y) (/ 1 x)) x)) 3.525 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ (fma 2.0 (/ 1 y) (/ 1 x)) x)) in (y x) around 0 3.525 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ (fma 2.0 (/ 1 y) (/ 1 x)) x)) in x 3.525 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ (fma 2.0 (/ 1 y) (/ 1 x)) x)) 3.525 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 3.525 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.525 * [taylor]: Taking taylor expansion of y in x 3.525 * [backup-simplify]: Simplify y into y 3.525 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.526 * [taylor]: Taking taylor expansion of y in x 3.526 * [backup-simplify]: Simplify y into y 3.526 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.526 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 y) (/ 1 x)) x) in x 3.526 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 y) (/ 1 x)) in x 3.526 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 y)) (/ 1 x)) 3.526 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 3.526 * [taylor]: Taking taylor expansion of 2.0 in x 3.526 * [backup-simplify]: Simplify 2.0 into 2.0 3.526 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.526 * [taylor]: Taking taylor expansion of y in x 3.526 * [backup-simplify]: Simplify y into y 3.526 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.526 * [taylor]: Taking taylor expansion of x in x 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (/ 1 1) into 1 3.527 * [taylor]: Taking taylor expansion of x in x 3.527 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify 1 into 1 3.527 * [backup-simplify]: Simplify (+ 0 1) into 1 3.528 * [backup-simplify]: Simplify (/ 1 1) into 1 3.528 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ (fma 2.0 (/ 1 y) (/ 1 x)) x)) in y 3.528 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ (fma 2.0 (/ 1 y) (/ 1 x)) x)) 3.528 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 3.528 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.528 * [taylor]: Taking taylor expansion of y in y 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 1 into 1 3.528 * [backup-simplify]: Simplify (/ 1 1) into 1 3.528 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.528 * [taylor]: Taking taylor expansion of y in y 3.528 * [backup-simplify]: Simplify 0 into 0 3.528 * [backup-simplify]: Simplify 1 into 1 3.529 * [backup-simplify]: Simplify (/ 1 1) into 1 3.529 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 y) (/ 1 x)) x) in y 3.529 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 y) (/ 1 x)) in y 3.529 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 y)) (/ 1 x)) 3.529 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 3.529 * [taylor]: Taking taylor expansion of 2.0 in y 3.529 * [backup-simplify]: Simplify 2.0 into 2.0 3.529 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.529 * [taylor]: Taking taylor expansion of y in y 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify 1 into 1 3.530 * [backup-simplify]: Simplify (/ 1 1) into 1 3.530 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.530 * [taylor]: Taking taylor expansion of x in y 3.530 * [backup-simplify]: Simplify x into x 3.530 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.530 * [taylor]: Taking taylor expansion of x in y 3.530 * [backup-simplify]: Simplify x into x 3.530 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 3.531 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 3.531 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 3.531 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ (fma 2.0 (/ 1 y) (/ 1 x)) x)) in y 3.531 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ (fma 2.0 (/ 1 y) (/ 1 x)) x)) 3.531 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 3.531 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.531 * [taylor]: Taking taylor expansion of y in y 3.531 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify 1 into 1 3.532 * [backup-simplify]: Simplify (/ 1 1) into 1 3.532 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.532 * [taylor]: Taking taylor expansion of y in y 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify 1 into 1 3.532 * [backup-simplify]: Simplify (/ 1 1) into 1 3.533 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 y) (/ 1 x)) x) in y 3.533 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 y) (/ 1 x)) in y 3.533 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 y)) (/ 1 x)) 3.533 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 3.533 * [taylor]: Taking taylor expansion of 2.0 in y 3.533 * [backup-simplify]: Simplify 2.0 into 2.0 3.533 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.533 * [taylor]: Taking taylor expansion of y in y 3.533 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify 1 into 1 3.533 * [backup-simplify]: Simplify (/ 1 1) into 1 3.533 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.533 * [taylor]: Taking taylor expansion of x in y 3.533 * [backup-simplify]: Simplify x into x 3.533 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.534 * [taylor]: Taking taylor expansion of x in y 3.534 * [backup-simplify]: Simplify x into x 3.534 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 3.534 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 3.535 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 3.535 * [backup-simplify]: Simplify (* 1 1) into 1 3.535 * [backup-simplify]: Simplify (+ 1 0) into 1 3.535 * [taylor]: Taking taylor expansion of 1 in x 3.535 * [backup-simplify]: Simplify 1 into 1 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.538 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 3.538 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 3.538 * [taylor]: Taking taylor expansion of 2.0 in x 3.538 * [backup-simplify]: Simplify 2.0 into 2.0 3.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 1 into 1 3.539 * [backup-simplify]: Simplify (/ 1 1) into 1 3.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.543 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 3.543 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 3.543 * [backup-simplify]: Simplify (- (/ (/ 1 x) x) (+ (* (/ 2.0 x) (/ 0 x)))) into (/ 1 (pow x 2)) 3.543 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.544 * [taylor]: Taking taylor expansion of x in x 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [backup-simplify]: Simplify (* 1 1) into 1 3.544 * [backup-simplify]: Simplify (/ 1 1) into 1 3.544 * [backup-simplify]: Simplify 1 into 1 3.545 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 3.545 * [backup-simplify]: Simplify 2.0 into 2.0 3.545 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 3.546 * [backup-simplify]: Simplify (fma (/ 1 (- y)) (/ 1 (- y)) (* (/ 1 (- x)) (fma 2.0 (/ 1 (- y)) (/ 1 (- x))))) into (fma (/ -1 y) (/ -1 y) (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x))) 3.546 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x))) in (y x) around 0 3.546 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x))) in x 3.546 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x))) 3.546 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 3.546 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.546 * [taylor]: Taking taylor expansion of -1 in x 3.546 * [backup-simplify]: Simplify -1 into -1 3.546 * [taylor]: Taking taylor expansion of y in x 3.547 * [backup-simplify]: Simplify y into y 3.547 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 3.547 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.547 * [taylor]: Taking taylor expansion of -1 in x 3.547 * [backup-simplify]: Simplify -1 into -1 3.547 * [taylor]: Taking taylor expansion of y in x 3.547 * [backup-simplify]: Simplify y into y 3.547 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 3.547 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x)) in x 3.547 * [taylor]: Taking taylor expansion of -1 in x 3.547 * [backup-simplify]: Simplify -1 into -1 3.547 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 y) (/ -1 x)) x) in x 3.547 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 y) (/ -1 x)) in x 3.547 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 y)) (/ -1 x)) 3.547 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 y)) in x 3.547 * [taylor]: Taking taylor expansion of 2.0 in x 3.547 * [backup-simplify]: Simplify 2.0 into 2.0 3.547 * [taylor]: Taking taylor expansion of (/ -1 y) in x 3.547 * [taylor]: Taking taylor expansion of -1 in x 3.547 * [backup-simplify]: Simplify -1 into -1 3.547 * [taylor]: Taking taylor expansion of y in x 3.547 * [backup-simplify]: Simplify y into y 3.547 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 3.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.547 * [taylor]: Taking taylor expansion of -1 in x 3.547 * [backup-simplify]: Simplify -1 into -1 3.548 * [taylor]: Taking taylor expansion of x in x 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.548 * [backup-simplify]: Simplify (/ -1 1) into -1 3.548 * [taylor]: Taking taylor expansion of x in x 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.549 * [backup-simplify]: Simplify (/ -1 1) into -1 3.549 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x))) in y 3.549 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x))) 3.549 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.549 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.549 * [taylor]: Taking taylor expansion of -1 in y 3.549 * [backup-simplify]: Simplify -1 into -1 3.549 * [taylor]: Taking taylor expansion of y in y 3.549 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify 1 into 1 3.550 * [backup-simplify]: Simplify (/ -1 1) into -1 3.550 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.550 * [taylor]: Taking taylor expansion of -1 in y 3.550 * [backup-simplify]: Simplify -1 into -1 3.550 * [taylor]: Taking taylor expansion of y in y 3.550 * [backup-simplify]: Simplify 0 into 0 3.550 * [backup-simplify]: Simplify 1 into 1 3.550 * [backup-simplify]: Simplify (/ -1 1) into -1 3.550 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x)) in y 3.551 * [taylor]: Taking taylor expansion of -1 in y 3.551 * [backup-simplify]: Simplify -1 into -1 3.551 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 y) (/ -1 x)) x) in y 3.551 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 y) (/ -1 x)) in y 3.551 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 y)) (/ -1 x)) 3.551 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 y)) in y 3.551 * [taylor]: Taking taylor expansion of 2.0 in y 3.551 * [backup-simplify]: Simplify 2.0 into 2.0 3.551 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.551 * [taylor]: Taking taylor expansion of -1 in y 3.551 * [backup-simplify]: Simplify -1 into -1 3.551 * [taylor]: Taking taylor expansion of y in y 3.551 * [backup-simplify]: Simplify 0 into 0 3.551 * [backup-simplify]: Simplify 1 into 1 3.551 * [backup-simplify]: Simplify (/ -1 1) into -1 3.552 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.552 * [taylor]: Taking taylor expansion of -1 in y 3.552 * [backup-simplify]: Simplify -1 into -1 3.552 * [taylor]: Taking taylor expansion of x in y 3.552 * [backup-simplify]: Simplify x into x 3.552 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.552 * [taylor]: Taking taylor expansion of x in y 3.552 * [backup-simplify]: Simplify x into x 3.552 * [backup-simplify]: Simplify (* 2.0 -1) into -2.0 3.553 * [backup-simplify]: Simplify (+ -2.0 0) into (- 2.0) 3.553 * [backup-simplify]: Simplify (/ (- 2.0) x) into (/ -2.0 x) 3.553 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x))) in y 3.553 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x))) 3.553 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 3.553 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.553 * [taylor]: Taking taylor expansion of -1 in y 3.553 * [backup-simplify]: Simplify -1 into -1 3.553 * [taylor]: Taking taylor expansion of y in y 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 1 into 1 3.554 * [backup-simplify]: Simplify (/ -1 1) into -1 3.554 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.554 * [taylor]: Taking taylor expansion of -1 in y 3.554 * [backup-simplify]: Simplify -1 into -1 3.554 * [taylor]: Taking taylor expansion of y in y 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 1 into 1 3.555 * [backup-simplify]: Simplify (/ -1 1) into -1 3.555 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 y) (/ -1 x)) x)) in y 3.555 * [taylor]: Taking taylor expansion of -1 in y 3.555 * [backup-simplify]: Simplify -1 into -1 3.555 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 y) (/ -1 x)) x) in y 3.555 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 y) (/ -1 x)) in y 3.555 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 y)) (/ -1 x)) 3.555 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 y)) in y 3.555 * [taylor]: Taking taylor expansion of 2.0 in y 3.555 * [backup-simplify]: Simplify 2.0 into 2.0 3.555 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.555 * [taylor]: Taking taylor expansion of -1 in y 3.555 * [backup-simplify]: Simplify -1 into -1 3.555 * [taylor]: Taking taylor expansion of y in y 3.555 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify 1 into 1 3.556 * [backup-simplify]: Simplify (/ -1 1) into -1 3.556 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.556 * [taylor]: Taking taylor expansion of -1 in y 3.556 * [backup-simplify]: Simplify -1 into -1 3.556 * [taylor]: Taking taylor expansion of x in y 3.556 * [backup-simplify]: Simplify x into x 3.556 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.556 * [taylor]: Taking taylor expansion of x in y 3.556 * [backup-simplify]: Simplify x into x 3.556 * [backup-simplify]: Simplify (* 2.0 -1) into -2.0 3.557 * [backup-simplify]: Simplify (+ -2.0 0) into (- 2.0) 3.557 * [backup-simplify]: Simplify (/ (- 2.0) x) into (/ -2.0 x) 3.558 * [backup-simplify]: Simplify (* -1 -1) into 1 3.558 * [backup-simplify]: Simplify (+ 1 0) into 1 3.558 * [taylor]: Taking taylor expansion of 1 in x 3.558 * [backup-simplify]: Simplify 1 into 1 3.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.561 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.561 * [backup-simplify]: Simplify (* -1 (/ -2.0 x)) into (/ 2.0 x) 3.561 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 3.561 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 3.561 * [taylor]: Taking taylor expansion of 2.0 in x 3.561 * [backup-simplify]: Simplify 2.0 into 2.0 3.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.561 * [taylor]: Taking taylor expansion of x in x 3.561 * [backup-simplify]: Simplify 0 into 0 3.561 * [backup-simplify]: Simplify 1 into 1 3.561 * [backup-simplify]: Simplify (/ 1 1) into 1 3.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.566 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 -1)) into 0 3.566 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) 3.566 * [backup-simplify]: Simplify (- (/ (- (/ 1 x)) x) (+ (* (/ -2.0 x) (/ 0 x)))) into (- (/ 1 (pow x 2))) 3.567 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow x 2)))) (* 0 (/ -2.0 x))) into (/ 1 (pow x 2)) 3.567 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 3.567 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.567 * [taylor]: Taking taylor expansion of x in x 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (* 1 1) into 1 3.568 * [backup-simplify]: Simplify (/ 1 1) into 1 3.568 * [backup-simplify]: Simplify 1 into 1 3.568 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 3.568 * [backup-simplify]: Simplify 2.0 into 2.0 3.568 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 3.569 * * * [progress]: simplifying candidates 3.569 * [simplify]: Simplifying: (expm1 (* x (fma 2.0 y x))) (log1p (* x (fma 2.0 y x))) (* x (fma 2.0 y x)) (+ (log x) (log (fma 2.0 y x))) (log (* x (fma 2.0 y x))) (exp (* x (fma 2.0 y x))) (* (* (* x x) x) (* (* (fma 2.0 y x) (fma 2.0 y x)) (fma 2.0 y x))) (* (cbrt (* x (fma 2.0 y x))) (cbrt (* x (fma 2.0 y x)))) (cbrt (* x (fma 2.0 y x))) (* (* (* x (fma 2.0 y x)) (* x (fma 2.0 y x))) (* x (fma 2.0 y x))) (sqrt (* x (fma 2.0 y x))) (sqrt (* x (fma 2.0 y x))) (* (sqrt x) (sqrt (fma 2.0 y x))) (* (sqrt x) (sqrt (fma 2.0 y x))) (* x (* 2.0 y)) (* x x) (* (* 2.0 y) x) (* x x) (* x (* (cbrt (fma 2.0 y x)) (cbrt (fma 2.0 y x)))) (* x (sqrt (fma 2.0 y x))) (* x 1) (* (cbrt x) (fma 2.0 y x)) (* (sqrt x) (fma 2.0 y x)) (* x (fma 2.0 y x)) (expm1 (fma y y (* x (fma 2.0 y x)))) (log1p (fma y y (* x (fma 2.0 y x)))) (* y y) (log (fma y y (* x (fma 2.0 y x)))) (exp (fma y y (* x (fma 2.0 y x)))) (* (cbrt (fma y y (* x (fma 2.0 y x)))) (cbrt (fma y y (* x (fma 2.0 y x))))) (cbrt (fma y y (* x (fma 2.0 y x)))) (* (* (fma y y (* x (fma 2.0 y x))) (fma y y (* x (fma 2.0 y x)))) (fma y y (* x (fma 2.0 y x)))) (sqrt (fma y y (* x (fma 2.0 y x)))) (sqrt (fma y y (* x (fma 2.0 y x)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 3.570 * * [simplify]: iteration 0: 55 enodes 3.579 * * [simplify]: iteration 1: 112 enodes 3.622 * * [simplify]: iteration 2: 421 enodes 4.102 * * [simplify]: iteration 3: 2981 enodes 5.205 * * [simplify]: iteration complete: 5001 enodes 5.205 * * [simplify]: Extracting #0: cost 29 inf + 0 5.208 * * [simplify]: Extracting #1: cost 580 inf + 4 5.220 * * [simplify]: Extracting #2: cost 1127 inf + 2173 5.234 * * [simplify]: Extracting #3: cost 257 inf + 9839 5.247 * * [simplify]: Extracting #4: cost 4 inf + 12208 5.264 * * [simplify]: Extracting #5: cost 0 inf + 12237 5.276 * [simplify]: Simplified to: (expm1 (* (fma 2.0 y x) x)) (log1p (* (fma 2.0 y x) x)) (* (fma 2.0 y x) x) (log (* (fma 2.0 y x) x)) (log (* (fma 2.0 y x) x)) (pow (exp (fma 2.0 y x)) x) (pow (* (fma 2.0 y x) x) 3) (* (cbrt (* (fma 2.0 y x) x)) (cbrt (* (fma 2.0 y x) x))) (cbrt (* (fma 2.0 y x) x)) (pow (* (fma 2.0 y x) x) 3) (sqrt (* (fma 2.0 y x) x)) (sqrt (* (fma 2.0 y x) x)) (* (sqrt (fma 2.0 y x)) (sqrt x)) (* (sqrt (fma 2.0 y x)) (sqrt x)) (* (* y 2.0) x) (* x x) (* (* 2.0 y) x) (* x x) (* (* (cbrt (fma 2.0 y x)) x) (cbrt (fma 2.0 y x))) (* x (sqrt (fma 2.0 y x))) x (* (cbrt x) (fma 2.0 y x)) (* (fma 2.0 y x) (sqrt x)) (* (fma 2.0 y x) x) (expm1 (fma y y (* (fma 2.0 y x) x))) (log1p (fma y y (* (fma 2.0 y x) x))) (pow y 2) (log (fma y y (* (fma 2.0 y x) x))) (exp (fma y y (* (fma 2.0 y x) x))) (* (cbrt (fma y y (* (fma 2.0 y x) x))) (cbrt (fma y y (* (fma 2.0 y x) x)))) (cbrt (fma y y (* (fma 2.0 y x) x))) (pow (fma y y (* (fma 2.0 y x) x)) 3) (sqrt (fma y y (* (fma 2.0 y x) x))) (sqrt (fma y y (* (fma 2.0 y x) x))) (* x (fma 2.0 y x)) (* x (fma 2.0 y x)) (* x (fma 2.0 y x)) (fma x x (* y (fma 2.0 x y))) (fma x x (* y (fma 2.0 x y))) (fma x x (* y (fma 2.0 x y))) 5.277 * * * [progress]: adding candidates to table 5.446 * [progress]: [Phase 3 of 3] Extracting. 5.447 * * [regime]: Finding splitpoints for: (# #) 5.447 * * * [regime-changes]: Trying 2 branch expressions: (y x) 5.447 * * * * [regimes]: Trying to branch on y from (# #) 5.483 * * * * [regimes]: Trying to branch on x from (# #) 5.517 * * * [regime]: Found split indices: #