46.586 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.050 * * [simplify]: Extracting # 0 : cost 0 0.050 * * [simplify]: Extracting # 1 : cost 0 0.050 * * [simplify]: Extracting # 2 : cost 0 0.050 * * [simplify]: Extracting # 3 : cost 0 0.050 * * [simplify]: Extracting # 4 : cost 0 0.050 * * [simplify]: Extracting # 5 : cost 0 0.050 * * [simplify]: Extracting # 6 : cost 0 0.050 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.053 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: Extracting # 2 : cost 0 0.053 * * [simplify]: iteration 1 : 18 enodes (cost 12 ) 0.059 * * [simplify]: Extracting # 0 : cost 0 0.059 * * [simplify]: Extracting # 1 : cost 0 0.059 * * [simplify]: Extracting # 2 : cost 0 0.060 * * [simplify]: Extracting # 3 : cost 0 0.060 * * [simplify]: iteration 2 : 45 enodes (cost 10 ) 0.077 * * [simplify]: Extracting # 0 : cost 0 0.077 * * [simplify]: Extracting # 1 : cost 0 0.077 * * [simplify]: Extracting # 2 : cost 0 0.077 * * [simplify]: iteration 3 : 75 enodes (cost 9 ) 0.096 * * [simplify]: Extracting # 0 : cost 0 0.096 * * [simplify]: iteration 4 : 77 enodes (cost 9 ) 0.123 * * [simplify]: Extracting # 0 : cost 0 0.124 * * [simplify]: iteration done: 77 enodes (cost 9 ) 0.124 * [simplify]: Simplified to: (fma x (fma y 2.0 x) (* y y)) 0.127 * * [progress]: iteration 1 / 4 0.127 * * * [progress]: picking best candidate 0.130 * * * * [pick]: Picked # 0.130 * * * [progress]: localizing error 0.138 * * * [progress]: generating rewritten candidates 0.138 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.139 * * * [progress]: generating series expansions 0.139 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.139 * [backup-simplify]: Simplify (fma x (fma y 2.0 x) (* y y)) into (fma x (fma y 2.0 x) (pow y 2)) 0.139 * [approximate]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in (x y) around 0 0.139 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in y 0.139 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 0.139 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in y 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [backup-simplify]: Simplify x into x 0.139 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.140 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.140 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of 2.0 in y 0.140 * [backup-simplify]: Simplify 2.0 into 2.0 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [backup-simplify]: Simplify x into x 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in x 0.140 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 0.140 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 0.140 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.140 * [taylor]: Taking taylor expansion of (* y 2.0) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.140 * [taylor]: Taking taylor expansion of 2.0 in x 0.140 * [backup-simplify]: Simplify 2.0 into 2.0 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.140 * [backup-simplify]: Simplify y into y 0.140 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in x 0.140 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 0.140 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 0.141 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.141 * [taylor]: Taking taylor expansion of (* y 2.0) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [backup-simplify]: Simplify y into y 0.141 * [taylor]: Taking taylor expansion of 2.0 in x 0.141 * [backup-simplify]: Simplify 2.0 into 2.0 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [backup-simplify]: Simplify y into y 0.141 * [backup-simplify]: Simplify (* y 2.0) into (* 2.0 y) 0.141 * [backup-simplify]: Simplify (+ (* 2.0 y) 0) into (* 2.0 y) 0.141 * [backup-simplify]: Simplify (* 0 (* 2.0 y)) into 0 0.141 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.141 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (+ (* y 0) (* 0 2.0)) into 0 0.142 * [backup-simplify]: Simplify (+ 0 1) into 1 0.143 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 y))) into (* 2.0 y) 0.143 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.143 * [backup-simplify]: Simplify (+ (* 2.0 y) 0) into (* 2.0 y) 0.143 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.143 * [taylor]: Taking taylor expansion of 2.0 in y 0.143 * [backup-simplify]: Simplify 2.0 into 2.0 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 2.0))) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 y)))) into 1 0.145 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [taylor]: Taking taylor expansion of 1 in y 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.146 * [backup-simplify]: Simplify 2.0 into 2.0 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.147 * [backup-simplify]: Simplify (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) 0.147 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in (x y) around 0 0.147 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in y 0.147 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.148 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [backup-simplify]: Simplify x into x 0.148 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.148 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.148 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.148 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [taylor]: Taking taylor expansion of 2.0 in y 0.148 * [backup-simplify]: Simplify 2.0 into 2.0 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [backup-simplify]: Simplify x into x 0.148 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.149 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.149 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.150 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.150 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 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 (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [backup-simplify]: Simplify y into y 0.150 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.151 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.151 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 0.151 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.151 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.151 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.151 * [taylor]: Taking taylor expansion of 2.0 in x 0.151 * [backup-simplify]: Simplify 2.0 into 2.0 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.152 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.152 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.152 * [backup-simplify]: Simplify (+ 0 1) into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [taylor]: Taking taylor expansion of 1 in y 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* (/ 1 y) 2.0) into (/ 2.0 y) 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ (/ 2.0 y) 0) into (* 2.0 (/ 1 y)) 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 (* 2.0 (/ 1 y))) (* 0 1)) into (* 2.0 (/ 1 y)) 0.155 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) 0.155 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.155 * [taylor]: Taking taylor expansion of 2.0 in y 0.155 * [backup-simplify]: Simplify 2.0 into 2.0 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 2.0)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 2.0 (/ 1 y))) (* 0 1))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.159 * [backup-simplify]: Simplify 2.0 into 2.0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [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 x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.159 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (fma (/ 1 (- y)) 2.0 (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) 0.159 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in (x y) around 0 0.159 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in y 0.160 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 0.160 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in y 0.160 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.160 * [taylor]: Taking taylor expansion of -1 in y 0.160 * [backup-simplify]: Simplify -1 into -1 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [backup-simplify]: Simplify x into x 0.160 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.160 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.160 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.160 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.160 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.160 * [taylor]: Taking taylor expansion of -1 in y 0.160 * [backup-simplify]: Simplify -1 into -1 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ -1 1) into -1 0.160 * [taylor]: Taking taylor expansion of 2.0 in y 0.161 * [backup-simplify]: Simplify 2.0 into 2.0 0.161 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.161 * [taylor]: Taking taylor expansion of -1 in y 0.161 * [backup-simplify]: Simplify -1 into -1 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [backup-simplify]: Simplify x into x 0.161 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in x 0.162 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 0.162 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [backup-simplify]: Simplify -1 into -1 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 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 0.162 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.162 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 0.162 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [backup-simplify]: Simplify -1 into -1 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [backup-simplify]: Simplify y into y 0.162 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.162 * [taylor]: Taking taylor expansion of 2.0 in x 0.162 * [backup-simplify]: Simplify 2.0 into 2.0 0.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [backup-simplify]: Simplify -1 into -1 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 0.163 * [backup-simplify]: Simplify (/ -1 1) into -1 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.163 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.163 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in x 0.163 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 0.163 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in x 0.163 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.163 * [taylor]: Taking taylor expansion of -1 in x 0.163 * [backup-simplify]: Simplify -1 into -1 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ -1 1) into -1 0.164 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 0.164 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.164 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 0.164 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.164 * [taylor]: Taking taylor expansion of -1 in x 0.164 * [backup-simplify]: Simplify -1 into -1 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.164 * [taylor]: Taking taylor expansion of 2.0 in x 0.164 * [backup-simplify]: Simplify 2.0 into 2.0 0.164 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.164 * [taylor]: Taking taylor expansion of -1 in x 0.164 * [backup-simplify]: Simplify -1 into -1 0.164 * [taylor]: Taking taylor expansion of x in x 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 y 2)) in x 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.165 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.165 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.165 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.165 * [backup-simplify]: Simplify (* -1 -1) into 1 0.166 * [backup-simplify]: Simplify (+ 1 0) into 1 0.166 * [taylor]: Taking taylor expansion of 1 in y 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* (/ -1 y) 2.0) into (/ -2.0 y) 0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (/ -2.0 y) 0) into (- (* 2.0 (/ 1 y))) 0.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ (* -1 (- (* 2.0 (/ 1 y)))) (* 0 -1)) into (* 2.0 (/ 1 y)) 0.167 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 y)) 0) into (* 2.0 (/ 1 y)) 0.167 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.167 * [taylor]: Taking taylor expansion of 2.0 in y 0.167 * [backup-simplify]: Simplify 2.0 into 2.0 0.167 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (/ 1 1) into 1 0.168 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.168 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 2.0)) into 0 0.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2.0 (/ 1 y)))) (* 0 -1))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [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 1) into 1 0.171 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.172 * [backup-simplify]: Simplify 2.0 into 2.0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [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 x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.172 * * * [progress]: simplifying candidates 0.173 * [simplify]: Simplifying: (expm1 (fma x (fma y 2.0 x) (* y y))) (log1p (fma x (fma y 2.0 x) (* y y))) (* x (fma y 2.0 x)) (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))) (* (* (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))) (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.173 * * [simplify]: Extracting # 0 : cost 0 0.173 * * [simplify]: Extracting # 1 : cost 0 0.173 * * [simplify]: Extracting # 2 : cost 0 0.173 * * [simplify]: Extracting # 3 : cost 0 0.173 * * [simplify]: Extracting # 4 : cost 0 0.173 * * [simplify]: Extracting # 5 : cost 0 0.173 * * [simplify]: iteration 0 : 23 enodes (cost 165 ) 0.178 * * [simplify]: Extracting # 0 : cost 0 0.178 * * [simplify]: Extracting # 1 : cost 0 0.178 * * [simplify]: Extracting # 2 : cost 0 0.178 * * [simplify]: Extracting # 3 : cost 0 0.178 * * [simplify]: Extracting # 4 : cost 0 0.178 * * [simplify]: iteration 1 : 43 enodes (cost 165 ) 0.190 * * [simplify]: Extracting # 0 : cost 0 0.190 * * [simplify]: Extracting # 1 : cost 0 0.190 * * [simplify]: Extracting # 2 : cost 0 0.190 * * [simplify]: Extracting # 3 : cost 0 0.190 * * [simplify]: iteration 2 : 101 enodes (cost 135 ) 0.222 * * [simplify]: Extracting # 0 : cost 0 0.222 * * [simplify]: Extracting # 1 : cost 0 0.223 * * [simplify]: Extracting # 2 : cost 0 0.223 * * [simplify]: Extracting # 3 : cost 0 0.223 * * [simplify]: iteration 3 : 313 enodes (cost 135 ) 0.539 * * [simplify]: Extracting # 0 : cost 0 0.543 * * [simplify]: Extracting # 1 : cost 0 0.546 * * [simplify]: Extracting # 2 : cost 0 0.547 * * [simplify]: Extracting # 3 : cost 0 0.549 * * [simplify]: Extracting # 4 : cost 0 0.551 * * [simplify]: iteration 4 : 1664 enodes (cost 135 ) 1.494 * * [simplify]: Extracting # 0 : cost 0 1.502 * * [simplify]: Extracting # 1 : cost 0 1.510 * * [simplify]: Extracting # 2 : cost 0 1.522 * * [simplify]: Extracting # 3 : cost 0 1.529 * * [simplify]: Extracting # 4 : cost 0 1.537 * * [simplify]: iteration done: 5000 enodes (cost 135 ) 1.537 * [simplify]: Simplified to: (expm1 (fma x (fma y 2.0 x) (* y y))) (log1p (fma x (fma y 2.0 x) (* y y))) (* (fma y 2.0 x) x) (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 (fma y 2.0 x) x (* y y)) 3) (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) 1.538 * * * [progress]: adding candidates to table 1.586 * * [progress]: iteration 2 / 4 1.586 * * * [progress]: picking best candidate 1.588 * * * * [pick]: Picked # 1.588 * * * [progress]: localizing error 1.603 * * * [progress]: generating rewritten candidates 1.604 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 1.623 * * * [progress]: generating series expansions 1.623 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 1.624 * [backup-simplify]: Simplify (+ (* x x) (* (* x 2.0) y)) into (+ (pow x 2) (* 2.0 (* x y))) 1.624 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 1.624 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 1.624 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.624 * [taylor]: Taking taylor expansion of x in y 1.624 * [backup-simplify]: Simplify x into x 1.624 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.624 * [taylor]: Taking taylor expansion of 2.0 in y 1.624 * [backup-simplify]: Simplify 2.0 into 2.0 1.624 * [taylor]: Taking taylor expansion of (* x y) in y 1.624 * [taylor]: Taking taylor expansion of x in y 1.624 * [backup-simplify]: Simplify x into x 1.624 * [taylor]: Taking taylor expansion of y in y 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 1.624 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.625 * [taylor]: Taking taylor expansion of 2.0 in x 1.625 * [backup-simplify]: Simplify 2.0 into 2.0 1.625 * [taylor]: Taking taylor expansion of (* x y) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of y in x 1.625 * [backup-simplify]: Simplify y into y 1.625 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 1.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.625 * [taylor]: Taking taylor expansion of 2.0 in x 1.625 * [backup-simplify]: Simplify 2.0 into 2.0 1.625 * [taylor]: Taking taylor expansion of (* x y) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of y in x 1.625 * [backup-simplify]: Simplify y into y 1.625 * [backup-simplify]: Simplify (* 0 y) into 0 1.626 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.627 * [taylor]: Taking taylor expansion of 0 in y 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.628 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 1.628 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 1.628 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 1.628 * [taylor]: Taking taylor expansion of 2.0 in y 1.628 * [backup-simplify]: Simplify 2.0 into 2.0 1.628 * [taylor]: Taking taylor expansion of y in y 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify (* 1 1) into 1 1.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.631 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 1.631 * [backup-simplify]: Simplify (+ 1 0) into 1 1.631 * [taylor]: Taking taylor expansion of 1 in y 1.632 * [backup-simplify]: Simplify 1 into 1 1.632 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.633 * [backup-simplify]: Simplify 2.0 into 2.0 1.633 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.636 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.637 * [taylor]: Taking taylor expansion of 0 in y 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.643 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [taylor]: Taking taylor expansion of 0 in y 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 1.644 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 1.644 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.644 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.644 * [taylor]: Taking taylor expansion of x in y 1.644 * [backup-simplify]: Simplify x into x 1.645 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.645 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.645 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.645 * [taylor]: Taking taylor expansion of 2.0 in y 1.645 * [backup-simplify]: Simplify 2.0 into 2.0 1.645 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.645 * [taylor]: Taking taylor expansion of (* x y) in y 1.645 * [taylor]: Taking taylor expansion of x in y 1.645 * [backup-simplify]: Simplify x into x 1.645 * [taylor]: Taking taylor expansion of y in y 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (* x 0) into 0 1.646 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.646 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.646 * [taylor]: Taking taylor expansion of x in x 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (* 1 1) into 1 1.647 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.647 * [taylor]: Taking taylor expansion of 2.0 in x 1.647 * [backup-simplify]: Simplify 2.0 into 2.0 1.647 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.647 * [taylor]: Taking taylor expansion of (* x y) in x 1.647 * [taylor]: Taking taylor expansion of x in x 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [taylor]: Taking taylor expansion of y in x 1.647 * [backup-simplify]: Simplify y into y 1.647 * [backup-simplify]: Simplify (* 0 y) into 0 1.648 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.648 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.648 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (* 1 1) into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.649 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.649 * [taylor]: Taking taylor expansion of 2.0 in x 1.649 * [backup-simplify]: Simplify 2.0 into 2.0 1.649 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.649 * [taylor]: Taking taylor expansion of (* x y) in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [taylor]: Taking taylor expansion of y in x 1.649 * [backup-simplify]: Simplify y into y 1.650 * [backup-simplify]: Simplify (* 0 y) into 0 1.650 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.650 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.651 * [backup-simplify]: Simplify (+ 1 0) into 1 1.651 * [taylor]: Taking taylor expansion of 1 in y 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.653 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.653 * [taylor]: Taking taylor expansion of 2.0 in y 1.653 * [backup-simplify]: Simplify 2.0 into 2.0 1.653 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.653 * [taylor]: Taking taylor expansion of y in y 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (/ 1 1) into 1 1.654 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.654 * [backup-simplify]: Simplify 2.0 into 2.0 1.654 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.658 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.658 * [taylor]: Taking taylor expansion of 0 in y 1.658 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.663 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [taylor]: Taking taylor expansion of 0 in y 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.669 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.669 * [backup-simplify]: Simplify (+ 0 0) into 0 1.669 * [taylor]: Taking taylor expansion of 0 in y 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.670 * [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))) 1.670 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 1.670 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 1.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 1.670 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.670 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.670 * [taylor]: Taking taylor expansion of x in y 1.670 * [backup-simplify]: Simplify x into x 1.670 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.670 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.670 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.670 * [taylor]: Taking taylor expansion of 2.0 in y 1.670 * [backup-simplify]: Simplify 2.0 into 2.0 1.670 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.670 * [taylor]: Taking taylor expansion of (* x y) in y 1.670 * [taylor]: Taking taylor expansion of x in y 1.670 * [backup-simplify]: Simplify x into x 1.670 * [taylor]: Taking taylor expansion of y in y 1.670 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (* x 0) into 0 1.671 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.671 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.671 * [taylor]: Taking taylor expansion of x in x 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (* 1 1) into 1 1.672 * [backup-simplify]: Simplify (/ 1 1) into 1 1.672 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.672 * [taylor]: Taking taylor expansion of 2.0 in x 1.672 * [backup-simplify]: Simplify 2.0 into 2.0 1.672 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.672 * [taylor]: Taking taylor expansion of (* x y) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.672 * [taylor]: Taking taylor expansion of y in x 1.672 * [backup-simplify]: Simplify y into y 1.672 * [backup-simplify]: Simplify (* 0 y) into 0 1.672 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.672 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 1.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify 1 into 1 1.673 * [backup-simplify]: Simplify (* 1 1) into 1 1.673 * [backup-simplify]: Simplify (/ 1 1) into 1 1.673 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.673 * [taylor]: Taking taylor expansion of 2.0 in x 1.673 * [backup-simplify]: Simplify 2.0 into 2.0 1.673 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.673 * [taylor]: Taking taylor expansion of (* x y) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 1 into 1 1.673 * [taylor]: Taking taylor expansion of y in x 1.673 * [backup-simplify]: Simplify y into y 1.673 * [backup-simplify]: Simplify (* 0 y) into 0 1.674 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.674 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.674 * [backup-simplify]: Simplify (+ 1 0) into 1 1.674 * [taylor]: Taking taylor expansion of 1 in y 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 1.675 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 1.675 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.675 * [taylor]: Taking taylor expansion of 2.0 in y 1.675 * [backup-simplify]: Simplify 2.0 into 2.0 1.675 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.675 * [taylor]: Taking taylor expansion of y in y 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (/ 1 1) into 1 1.676 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.676 * [backup-simplify]: Simplify 2.0 into 2.0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.678 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 1.678 * [backup-simplify]: Simplify (+ 0 0) into 0 1.678 * [taylor]: Taking taylor expansion of 0 in y 1.678 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.679 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [taylor]: Taking taylor expansion of 0 in y 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.684 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.687 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [taylor]: Taking taylor expansion of 0 in y 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [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))) 1.688 * * * [progress]: simplifying candidates 1.689 * [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)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 1.689 * * [simplify]: Extracting # 0 : cost 0 1.689 * * [simplify]: Extracting # 1 : cost 0 1.689 * * [simplify]: Extracting # 2 : cost 0 1.689 * * [simplify]: Extracting # 3 : cost 0 1.689 * * [simplify]: Extracting # 4 : cost 0 1.689 * * [simplify]: Extracting # 5 : cost 0 1.689 * * [simplify]: Extracting # 6 : cost 0 1.689 * * [simplify]: Extracting # 7 : cost 0 1.690 * * [simplify]: iteration 0 : 35 enodes (cost 228 ) 1.699 * * [simplify]: Extracting # 0 : cost 0 1.700 * * [simplify]: Extracting # 1 : cost 0 1.700 * * [simplify]: Extracting # 2 : cost 0 1.700 * * [simplify]: Extracting # 3 : cost 0 1.700 * * [simplify]: Extracting # 4 : cost 0 1.701 * * [simplify]: iteration 1 : 115 enodes (cost 203 ) 1.804 * * [simplify]: Extracting # 0 : cost 0 1.805 * * [simplify]: Extracting # 1 : cost 0 1.806 * * [simplify]: Extracting # 2 : cost 0 1.807 * * [simplify]: Extracting # 3 : cost 0 1.808 * * [simplify]: Extracting # 4 : cost 0 1.809 * * [simplify]: iteration 2 : 498 enodes (cost 160 ) 2.460 * * [simplify]: Extracting # 0 : cost 0 2.463 * * [simplify]: Extracting # 1 : cost 0 2.473 * * [simplify]: Extracting # 2 : cost 0 2.476 * * [simplify]: Extracting # 3 : cost 0 2.480 * * [simplify]: Extracting # 4 : cost 0 2.484 * * [simplify]: iteration 3 : 2257 enodes (cost 145 ) 4.546 * * [simplify]: Extracting # 0 : cost 0 4.552 * * [simplify]: Extracting # 1 : cost 0 4.558 * * [simplify]: Extracting # 2 : cost 0 4.563 * * [simplify]: Extracting # 3 : cost 0 4.568 * * [simplify]: Extracting # 4 : cost 0 4.573 * * [simplify]: iteration done: 5001 enodes (cost 145 ) 4.574 * [simplify]: Simplified to: (expm1 (* x (fma y 2.0 x))) (log1p (* x (fma y 2.0 x))) (exp (* x (fma y 2.0 x))) (log (* x (fma y 2.0 x))) (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 2.0) y) 3) (pow x 6)) (fma (* 2.0 (* x y)) (* x (- (* 2.0 y) x)) (pow x 4)) (* x (* (fma y 2.0 x) (* x (- x (* 2.0 y))))) (* x (- x (* 2.0 y))) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) 4.574 * * * [progress]: adding candidates to table 4.622 * [progress]: [Phase 3 of 3] Extracting. 4.622 * * [regime]: Finding splitpoints for: (# #) 4.622 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 4.622 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 4.635 * * * * [regimes]: Trying to branch on y from (# #) 4.650 * * * * [regimes]: Trying to branch on x from (# #) 4.663 * * * [regime]: Found split indices: #