34.850 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: Extracting # 3 : cost 0 0.024 * * [simplify]: Extracting # 4 : cost 0 0.024 * * [simplify]: Extracting # 5 : cost 0 0.024 * * [simplify]: iteration 0 : 9 enodes (cost 11 ) 0.026 * * [simplify]: Extracting # 0 : cost 0 0.026 * * [simplify]: Extracting # 1 : cost 0 0.026 * * [simplify]: Extracting # 2 : cost 0 0.026 * * [simplify]: iteration 1 : 15 enodes (cost 11 ) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: iteration 2 : 22 enodes (cost 11 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: Extracting # 1 : cost 0 0.033 * * [simplify]: Extracting # 2 : cost 0 0.033 * * [simplify]: iteration 3 : 26 enodes (cost 10 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 0.039 * * [simplify]: iteration 4 : 29 enodes (cost 10 ) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.044 * * [simplify]: iteration 5 : 30 enodes (cost 10 ) 0.050 * * [simplify]: Extracting # 0 : cost 0 0.050 * * [simplify]: iteration done: 30 enodes (cost 10 ) 0.050 * [simplify]: Simplified to: (- x (/ y (fma (/ x 2.0) y 1.0))) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.089 * * * [progress]: generating series expansions 0.089 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.089 * [backup-simplify]: Simplify (/ y (+ 1.0 (/ (* x y) 2.0))) into (/ y (+ (* 0.5 (* x y)) 1.0)) 0.089 * [approximate]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in (y x) around 0 0.089 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in x 0.089 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in x 0.089 * [taylor]: Taking taylor expansion of 0.5 in x 0.089 * [backup-simplify]: Simplify 0.5 into 0.5 0.089 * [taylor]: Taking taylor expansion of (* x y) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [backup-simplify]: Simplify 1.0 into 1.0 0.089 * [backup-simplify]: Simplify (* 0 y) into 0 0.090 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.090 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.090 * [backup-simplify]: Simplify (/ y 1.0) into (* 1.0 y) 0.090 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.091 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.091 * [taylor]: Taking taylor expansion of 0.5 in y 0.091 * [backup-simplify]: Simplify 0.5 into 0.5 0.091 * [taylor]: Taking taylor expansion of (* x y) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [backup-simplify]: Simplify x into x 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of 1.0 in y 0.091 * [backup-simplify]: Simplify 1.0 into 1.0 0.091 * [backup-simplify]: Simplify (* x 0) into 0 0.091 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.092 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.092 * [taylor]: Taking taylor expansion of (/ y (+ (* 0.5 (* x y)) 1.0)) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* x y)) 1.0) in y 0.092 * [taylor]: Taking taylor expansion of (* 0.5 (* x y)) in y 0.092 * [taylor]: Taking taylor expansion of 0.5 in y 0.092 * [backup-simplify]: Simplify 0.5 into 0.5 0.092 * [taylor]: Taking taylor expansion of (* x y) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [backup-simplify]: Simplify x into x 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [taylor]: Taking taylor expansion of 1.0 in y 0.092 * [backup-simplify]: Simplify 1.0 into 1.0 0.092 * [backup-simplify]: Simplify (* x 0) into 0 0.093 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.093 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.093 * [backup-simplify]: Simplify 1.0 into 1.0 0.093 * [backup-simplify]: Simplify 1.0 into 1.0 0.094 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.094 * [backup-simplify]: Simplify (+ (* 0.5 x) (* 0 0)) into (* 0.5 x) 0.094 * [backup-simplify]: Simplify (+ (* 0.5 x) 0) into (* 0.5 x) 0.102 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (* 0.5 x) 1.0)))) into (- (* 0.5 x)) 0.103 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.103 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.103 * [taylor]: Taking taylor expansion of 0.5 in x 0.103 * [backup-simplify]: Simplify 0.5 into 0.5 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.104 * [backup-simplify]: Simplify (- 0) into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 x) (* 0 0))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- (* 0.5 x)) (/ (* 0.5 x) 1.0)))) into (* 0.25 (pow x 2)) 0.106 * [taylor]: Taking taylor expansion of (* 0.25 (pow x 2)) in x 0.106 * [taylor]: Taking taylor expansion of 0.25 in x 0.106 * [backup-simplify]: Simplify 0.25 into 0.25 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.108 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.108 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 x) (* 0 0)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- (* 0.5 x)) (/ 0 1.0)) (* (* 0.25 (pow x 2)) (/ (* 0.5 x) 1.0)))) into (- (* 0.125 (pow x 3))) 0.112 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow x 3))) in x 0.112 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 0.112 * [taylor]: Taking taylor expansion of 0.125 in x 0.112 * [backup-simplify]: Simplify 0.125 into 0.125 0.112 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.113 * [backup-simplify]: Simplify (- 0) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 x) (* 0 0))))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- (* 0.5 x)) (/ 0 1.0)) (* (* 0.25 (pow x 2)) (/ 0 1.0)) (* (- (* 0.125 (pow x 3))) (/ (* 0.5 x) 1.0)))) into (* 0.0625 (pow x 4)) 0.117 * [taylor]: Taking taylor expansion of (* 0.0625 (pow x 4)) in x 0.117 * [taylor]: Taking taylor expansion of 0.0625 in x 0.117 * [backup-simplify]: Simplify 0.0625 into 0.0625 0.117 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 0.118 * [backup-simplify]: Simplify 0.25 into 0.25 0.119 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow x 2) (pow y 3))) (+ (* (- 0.5) (* x (pow y 2))) (* 1.0 (* 1 y)))) into (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) 0.119 * [backup-simplify]: Simplify (/ (/ 1 y) (+ 1.0 (/ (* (/ 1 x) (/ 1 y)) 2.0))) into (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) 0.119 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.119 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.119 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.119 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.119 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.119 * [taylor]: Taking taylor expansion of 0.5 in x 0.119 * [backup-simplify]: Simplify 0.5 into 0.5 0.119 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.119 * [taylor]: Taking taylor expansion of (* x y) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [backup-simplify]: Simplify (* 0 y) into 0 0.120 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.120 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [backup-simplify]: Simplify 1.0 into 1.0 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [backup-simplify]: Simplify y into y 0.120 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.120 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 0.120 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 0.120 * [backup-simplify]: Simplify (/ 1 0.5) into 2.0 0.120 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.120 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.120 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.120 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.121 * [taylor]: Taking taylor expansion of 0.5 in y 0.121 * [backup-simplify]: Simplify 0.5 into 0.5 0.121 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.121 * [taylor]: Taking taylor expansion of (* x y) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [backup-simplify]: Simplify x into x 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* x 0) into 0 0.121 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.121 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.121 * [taylor]: Taking taylor expansion of 1.0 in y 0.121 * [backup-simplify]: Simplify 1.0 into 1.0 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.121 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 0.121 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 x)) 0) into 0 0.122 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.123 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 1) (* 1.0 0)) into (* 0.5 (/ 1 x)) 0.123 * [backup-simplify]: Simplify (/ 1 (* 0.5 (/ 1 x))) into (* 2.0 x) 0.123 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.123 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.123 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.123 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.123 * [taylor]: Taking taylor expansion of 0.5 in y 0.124 * [backup-simplify]: Simplify 0.5 into 0.5 0.124 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.124 * [taylor]: Taking taylor expansion of (* x y) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [backup-simplify]: Simplify x into x 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* x 0) into 0 0.124 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.124 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.124 * [taylor]: Taking taylor expansion of 1.0 in y 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.124 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 0.124 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 x)) 0) into 0 0.125 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.125 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.126 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 1) (* 1.0 0)) into (* 0.5 (/ 1 x)) 0.126 * [backup-simplify]: Simplify (/ 1 (* 0.5 (/ 1 x))) into (* 2.0 x) 0.126 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.126 * [taylor]: Taking taylor expansion of 2.0 in x 0.126 * [backup-simplify]: Simplify 2.0 into 2.0 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.128 * [backup-simplify]: Simplify 2.0 into 2.0 0.128 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 1) (* 0 0))) into 1.0 0.131 * [backup-simplify]: Simplify (- (+ (* (* 2.0 x) (/ 1.0 (* 0.5 (/ 1 x)))))) into (- (* 4.0 (pow x 2))) 0.131 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow x 2))) in x 0.131 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of 4.0 in x 0.131 * [backup-simplify]: Simplify 4.0 into 4.0 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.133 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 0) (+ (* 0 1) (* 0 0)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* (* 2.0 x) (/ 0 (* 0.5 (/ 1 x)))) (* (- (* 4.0 (pow x 2))) (/ 1.0 (* 0.5 (/ 1 x)))))) into (* 8.0 (pow x 3)) 0.135 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.135 * [taylor]: Taking taylor expansion of 8.0 in x 0.135 * [backup-simplify]: Simplify 8.0 into 8.0 0.135 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.136 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.136 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.137 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* (* 2.0 x) (/ 0 (* 0.5 (/ 1 x)))) (* (- (* 4.0 (pow x 2))) (/ 0 (* 0.5 (/ 1 x)))) (* (* 8.0 (pow x 3)) (/ 1.0 (* 0.5 (/ 1 x)))))) into (- (* 16.0 (pow x 4))) 0.141 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow x 4))) in x 0.141 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.141 * [taylor]: Taking taylor expansion of 16.0 in x 0.141 * [backup-simplify]: Simplify 16.0 into 16.0 0.141 * [taylor]: Taking taylor expansion of (pow x 4) in x 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 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.143 * [backup-simplify]: Simplify (- 0) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.146 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* (* 2.0 x) (/ 0 (* 0.5 (/ 1 x)))) (* (- (* 4.0 (pow x 2))) (/ 0 (* 0.5 (/ 1 x)))) (* (* 8.0 (pow x 3)) (/ 0 (* 0.5 (/ 1 x)))) (* (- (* 16.0 (pow x 4))) (/ 1.0 (* 0.5 (/ 1 x)))))) into (* 32.0 (pow x 5)) 0.148 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.148 * [taylor]: Taking taylor expansion of 32.0 in x 0.148 * [backup-simplify]: Simplify 32.0 into 32.0 0.148 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.148 * [taylor]: Taking taylor expansion of x in x 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 * [backup-simplify]: Simplify (* 8.0 1) into 8.0 0.149 * [backup-simplify]: Simplify 8.0 into 8.0 0.150 * [backup-simplify]: Simplify (+ (* 8.0 (* (pow (/ 1 x) 3) (pow (/ 1 y) 2))) (+ (* (- 4.0) (* (pow (/ 1 x) 2) (/ 1 y))) (* 2.0 (* (/ 1 x) 1)))) into (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 0.150 * [backup-simplify]: Simplify (/ (/ 1 (- y)) (+ 1.0 (/ (* (/ 1 (- x)) (/ 1 (- y))) 2.0))) into (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) 0.150 * [approximate]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in (y x) around 0 0.150 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [backup-simplify]: Simplify -1 into -1 0.150 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in x 0.150 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in x 0.150 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in x 0.150 * [taylor]: Taking taylor expansion of 0.5 in x 0.151 * [backup-simplify]: Simplify 0.5 into 0.5 0.151 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.151 * [taylor]: Taking taylor expansion of (* x y) 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 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [backup-simplify]: Simplify (* 0 y) into 0 0.151 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.151 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [backup-simplify]: Simplify 1.0 into 1.0 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [backup-simplify]: Simplify y into y 0.151 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 0.151 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 0.151 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 0.152 * [backup-simplify]: Simplify (/ -1 0.5) into -2.0 0.152 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.152 * [taylor]: Taking taylor expansion of -1 in y 0.152 * [backup-simplify]: Simplify -1 into -1 0.152 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.152 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.152 * [taylor]: Taking taylor expansion of 0.5 in y 0.152 * [backup-simplify]: Simplify 0.5 into 0.5 0.152 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.152 * [taylor]: Taking taylor expansion of (* x y) in y 0.152 * [taylor]: Taking taylor expansion of x in y 0.152 * [backup-simplify]: Simplify x into x 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* x 0) into 0 0.152 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.153 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.153 * [taylor]: Taking taylor expansion of 1.0 in y 0.153 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.153 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 0.153 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 x)) 0) into 0 0.153 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.154 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.155 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 1) (* 1.0 0)) into (* 0.5 (/ 1 x)) 0.155 * [backup-simplify]: Simplify (/ -1 (* 0.5 (/ 1 x))) into (* -2.0 x) 0.155 * [taylor]: Taking taylor expansion of (/ -1 (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y)) in y 0.155 * [taylor]: Taking taylor expansion of -1 in y 0.155 * [backup-simplify]: Simplify -1 into -1 0.155 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (/ 1 (* x y))) 1.0) y) in y 0.155 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* x y))) 1.0) in y 0.155 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* x y))) in y 0.155 * [taylor]: Taking taylor expansion of 0.5 in y 0.155 * [backup-simplify]: Simplify 0.5 into 0.5 0.155 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.155 * [taylor]: Taking taylor expansion of (* x y) in y 0.155 * [taylor]: Taking taylor expansion of x in y 0.155 * [backup-simplify]: Simplify x into x 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 (* x 0) into 0 0.156 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.156 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.156 * [taylor]: Taking taylor expansion of 1.0 in y 0.156 * [backup-simplify]: Simplify 1.0 into 1.0 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 0.156 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 0.156 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 x)) 0) into 0 0.156 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 x))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.158 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 1) (* 1.0 0)) into (* 0.5 (/ 1 x)) 0.158 * [backup-simplify]: Simplify (/ -1 (* 0.5 (/ 1 x))) into (* -2.0 x) 0.158 * [taylor]: Taking taylor expansion of (* -2.0 x) in x 0.158 * [taylor]: Taking taylor expansion of -2.0 in x 0.158 * [backup-simplify]: Simplify -2.0 into -2.0 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [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) 0.160 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 1) (* 0 0))) into 1.0 0.162 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 x))) (+ (* (* -2.0 x) (/ 1.0 (* 0.5 (/ 1 x)))))) into (* 4.0 (pow x 2)) 0.163 * [taylor]: Taking taylor expansion of (* 4.0 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of 4.0 in x 0.163 * [backup-simplify]: Simplify 4.0 into 4.0 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 0.163 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 0) (+ (* 0 1) (* 0 0)))) into 0 0.167 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 x))) (+ (* (* -2.0 x) (/ 0 (* 0.5 (/ 1 x)))) (* (* 4.0 (pow x 2)) (/ 1.0 (* 0.5 (/ 1 x)))))) into (- (* 8.0 (pow x 3))) 0.167 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow x 3))) in x 0.167 * [taylor]: Taking taylor expansion of (* 8.0 (pow x 3)) in x 0.167 * [taylor]: Taking taylor expansion of 8.0 in x 0.167 * [backup-simplify]: Simplify 8.0 into 8.0 0.167 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.168 * [backup-simplify]: Simplify 4.0 into 4.0 0.169 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x)))))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.173 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 x))) (+ (* (* -2.0 x) (/ 0 (* 0.5 (/ 1 x)))) (* (* 4.0 (pow x 2)) (/ 0 (* 0.5 (/ 1 x)))) (* (- (* 8.0 (pow x 3))) (/ 1.0 (* 0.5 (/ 1 x)))))) into (* 16.0 (pow x 4)) 0.173 * [taylor]: Taking taylor expansion of (* 16.0 (pow x 4)) in x 0.173 * [taylor]: Taking taylor expansion of 16.0 in x 0.173 * [backup-simplify]: Simplify 16.0 into 16.0 0.173 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.174 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.177 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.179 * [backup-simplify]: Simplify (- (/ 0 (* 0.5 (/ 1 x))) (+ (* (* -2.0 x) (/ 0 (* 0.5 (/ 1 x)))) (* (* 4.0 (pow x 2)) (/ 0 (* 0.5 (/ 1 x)))) (* (- (* 8.0 (pow x 3))) (/ 0 (* 0.5 (/ 1 x)))) (* (* 16.0 (pow x 4)) (/ 1.0 (* 0.5 (/ 1 x)))))) into (- (* 32.0 (pow x 5))) 0.179 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow x 5))) in x 0.179 * [taylor]: Taking taylor expansion of (* 32.0 (pow x 5)) in x 0.179 * [taylor]: Taking taylor expansion of 32.0 in x 0.180 * [backup-simplify]: Simplify 32.0 into 32.0 0.180 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.181 * [backup-simplify]: Simplify (* 8.0 1) into 8.0 0.181 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 0.181 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 0.182 * [backup-simplify]: Simplify (+ (* (- 8.0) (* (pow (/ 1 (- x)) 3) (pow (/ 1 (- y)) 2))) (+ (* 4.0 (* (pow (/ 1 (- x)) 2) (/ 1 (- y)))) (* (- 2.0) (* (/ 1 (- x)) 1)))) into (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 0.182 * * * [progress]: simplifying candidates 0.183 * [simplify]: Simplifying: (expm1 (/ y (+ 1.0 (/ (* x y) 2.0)))) (log1p (/ y (+ 1.0 (/ (* x y) 2.0)))) (- (log y) (log (+ 1.0 (/ (* x y) 2.0)))) (log (/ y (+ 1.0 (/ (* x y) 2.0)))) (exp (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ (* (* y y) y) (* (* (+ 1.0 (/ (* x y) 2.0)) (+ 1.0 (/ (* x y) 2.0))) (+ 1.0 (/ (* x y) 2.0)))) (* (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))) (cbrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (* (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (sqrt (/ y (+ 1.0 (/ (* x y) 2.0)))) (- y) (- (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (cbrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (cbrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ (sqrt y) (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ (sqrt y) 1) (/ (sqrt y) (+ 1.0 (/ (* x y) 2.0))) (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ 1 1) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 1) (/ y (+ 1.0 (/ (* x y) 2.0))) (/ 1 (+ 1.0 (/ (* x y) 2.0))) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (/ y 1) (/ y 1) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (sqrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) y) (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 0.185 * * [simplify]: Extracting # 0 : cost 0 0.185 * * [simplify]: Extracting # 1 : cost 0 0.185 * * [simplify]: Extracting # 2 : cost 0 0.185 * * [simplify]: Extracting # 3 : cost 0 0.185 * * [simplify]: Extracting # 4 : cost 0 0.185 * * [simplify]: Extracting # 5 : cost 0 0.186 * * [simplify]: Extracting # 6 : cost 0 0.186 * * [simplify]: Extracting # 7 : cost 0 0.186 * * [simplify]: Extracting # 8 : cost 0 0.186 * * [simplify]: Extracting # 9 : cost 0 0.186 * * [simplify]: iteration 0 : 91 enodes (cost 604 ) 0.220 * * [simplify]: Extracting # 0 : cost 0 0.220 * * [simplify]: Extracting # 1 : cost 0 0.220 * * [simplify]: Extracting # 2 : cost 0 0.221 * * [simplify]: Extracting # 3 : cost 0 0.221 * * [simplify]: Extracting # 4 : cost 0 0.221 * * [simplify]: iteration 1 : 213 enodes (cost 582 ) 0.321 * * [simplify]: Extracting # 0 : cost 0 0.322 * * [simplify]: Extracting # 1 : cost 0 0.323 * * [simplify]: Extracting # 2 : cost 0 0.323 * * [simplify]: Extracting # 3 : cost 0 0.324 * * [simplify]: Extracting # 4 : cost 0 0.325 * * [simplify]: iteration 2 : 611 enodes (cost 538 ) 0.629 * * [simplify]: Extracting # 0 : cost 0 0.632 * * [simplify]: Extracting # 1 : cost 0 0.634 * * [simplify]: Extracting # 2 : cost 0 0.636 * * [simplify]: Extracting # 3 : cost 0 0.639 * * [simplify]: Extracting # 4 : cost 0 0.641 * * [simplify]: iteration 3 : 1819 enodes (cost 493 ) 1.651 * * [simplify]: Extracting # 0 : cost 0 1.659 * * [simplify]: Extracting # 1 : cost 0 1.667 * * [simplify]: Extracting # 2 : cost 0 1.675 * * [simplify]: Extracting # 3 : cost 0 1.684 * * [simplify]: Extracting # 4 : cost 0 1.692 * * [simplify]: iteration done: 5001 enodes (cost 493 ) 1.693 * [simplify]: Simplified to: (expm1 (/ y (fma (/ x 2.0) y 1.0))) (log1p (/ y (fma (/ x 2.0) y 1.0))) (log (/ y (fma (/ x 2.0) y 1.0))) (log (/ y (fma (/ x 2.0) y 1.0))) (exp (/ y (fma (/ x 2.0) y 1.0))) (pow (/ y (fma (/ x 2.0) y 1.0)) 3) (* (cbrt (/ y (fma (/ x 2.0) y 1.0))) (cbrt (/ y (fma (/ x 2.0) y 1.0)))) (cbrt (/ y (fma (/ x 2.0) y 1.0))) (pow (/ y (fma (/ x 2.0) y 1.0)) 3) (sqrt (/ y (fma (/ x 2.0) y 1.0))) (sqrt (/ y (fma (/ x 2.0) y 1.0))) (- y) (- (fma (/ x 2.0) y 1.0)) (/ (/ (* (cbrt y) (cbrt y)) (cbrt (fma (/ x 2.0) y 1.0))) (cbrt (fma (/ x 2.0) y 1.0))) (/ (cbrt y) (cbrt (fma (/ x 2.0) y 1.0))) (/ (cbrt y) (/ (sqrt (fma (/ x 2.0) y 1.0)) (cbrt y))) (/ (cbrt y) (sqrt (fma (/ x 2.0) y 1.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (fma (/ x 2.0) y 1.0)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (fma (/ x 2.0) y 1.0)) (/ (/ (sqrt y) (cbrt (fma (/ x 2.0) y 1.0))) (cbrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (cbrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (sqrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (sqrt (fma (/ x 2.0) y 1.0))) (sqrt y) (/ (sqrt y) (fma (/ x 2.0) y 1.0)) (sqrt y) (/ (sqrt y) (fma (/ x 2.0) y 1.0)) (/ 1 (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ y (cbrt (fma (/ x 2.0) y 1.0))) (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))) 1 (/ y (fma (/ x 2.0) y 1.0)) 1 (/ y (fma (/ x 2.0) y 1.0)) (/ 1 (fma (/ x 2.0) y 1.0)) (/ (fma (/ x 2.0) y 1.0) y) (/ (/ y (cbrt (fma (/ x 2.0) y 1.0))) (cbrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))) y y (/ (fma (/ x 2.0) y 1.0) (cbrt y)) (/ (fma (/ x 2.0) y 1.0) (sqrt y)) (/ (fma (/ x 2.0) y 1.0) y) (/ y (+ (pow 1.0 3) (pow (/ (* x y) 2.0) 3))) (/ (/ y (fma (/ x 2.0) y 1.0)) (- 1.0 (/ (* x y) 2.0))) (fma (pow y 3) (* 0.25 (pow x 2)) (* y (- 1.0 (* (* 0.5 x) y)))) (+ (/ 8.0 (* (pow x 3) (pow y 2))) (- (/ 2.0 x) (/ 4.0 (* (pow x 2) y)))) (+ (/ 8.0 (* (pow x 3) (pow y 2))) (- (/ 2.0 x) (/ 4.0 (* (pow x 2) y)))) 1.694 * * * [progress]: adding candidates to table 1.841 * * [progress]: iteration 2 / 4 1.841 * * * [progress]: picking best candidate 1.852 * * * * [pick]: Picked # 1.853 * * * [progress]: localizing error 1.864 * * * [progress]: generating rewritten candidates 1.864 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 2) 1.869 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.883 * * * [progress]: generating series expansions 1.883 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 2) 1.883 * [backup-simplify]: Simplify (/ (fma (/ x 2.0) y 1.0) y) into (/ (fma (* 0.5 x) y 1.0) y) 1.883 * [approximate]: Taking taylor expansion of (/ (fma (* 0.5 x) y 1.0) y) in (x y) around 0 1.883 * [taylor]: Taking taylor expansion of (/ (fma (* 0.5 x) y 1.0) y) in y 1.883 * [taylor]: Taking taylor expansion of (fma (* 0.5 x) y 1.0) in y 1.883 * [taylor]: Rewrote expression to (+ (* (* 0.5 x) y) 1.0) 1.883 * [taylor]: Taking taylor expansion of (* (* 0.5 x) y) in y 1.883 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 1.883 * [taylor]: Taking taylor expansion of 0.5 in y 1.883 * [backup-simplify]: Simplify 0.5 into 0.5 1.883 * [taylor]: Taking taylor expansion of x in y 1.883 * [backup-simplify]: Simplify x into x 1.883 * [taylor]: Taking taylor expansion of y in y 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [taylor]: Taking taylor expansion of 1.0 in y 1.883 * [backup-simplify]: Simplify 1.0 into 1.0 1.883 * [taylor]: Taking taylor expansion of y in y 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.883 * [backup-simplify]: Simplify (* (* 0.5 x) 0) into 0 1.884 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.884 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.884 * [taylor]: Taking taylor expansion of (/ (fma (* 0.5 x) y 1.0) y) in x 1.884 * [taylor]: Taking taylor expansion of (fma (* 0.5 x) y 1.0) in x 1.884 * [taylor]: Rewrote expression to (+ (* (* 0.5 x) y) 1.0) 1.884 * [taylor]: Taking taylor expansion of (* (* 0.5 x) y) in x 1.884 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.884 * [taylor]: Taking taylor expansion of 0.5 in x 1.885 * [backup-simplify]: Simplify 0.5 into 0.5 1.885 * [taylor]: Taking taylor expansion of x in x 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [taylor]: Taking taylor expansion of y in x 1.885 * [backup-simplify]: Simplify y into y 1.885 * [taylor]: Taking taylor expansion of 1.0 in x 1.885 * [backup-simplify]: Simplify 1.0 into 1.0 1.885 * [taylor]: Taking taylor expansion of y in x 1.885 * [backup-simplify]: Simplify y into y 1.885 * [backup-simplify]: Simplify (* 0.5 0) into 0 1.885 * [backup-simplify]: Simplify (* 0 y) into 0 1.885 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.885 * [backup-simplify]: Simplify (/ 1.0 y) into (/ 1.0 y) 1.885 * [taylor]: Taking taylor expansion of (/ (fma (* 0.5 x) y 1.0) y) in x 1.885 * [taylor]: Taking taylor expansion of (fma (* 0.5 x) y 1.0) in x 1.885 * [taylor]: Rewrote expression to (+ (* (* 0.5 x) y) 1.0) 1.885 * [taylor]: Taking taylor expansion of (* (* 0.5 x) y) in x 1.885 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.885 * [taylor]: Taking taylor expansion of 0.5 in x 1.885 * [backup-simplify]: Simplify 0.5 into 0.5 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [taylor]: Taking taylor expansion of y in x 1.886 * [backup-simplify]: Simplify y into y 1.886 * [taylor]: Taking taylor expansion of 1.0 in x 1.886 * [backup-simplify]: Simplify 1.0 into 1.0 1.886 * [taylor]: Taking taylor expansion of y in x 1.886 * [backup-simplify]: Simplify y into y 1.886 * [backup-simplify]: Simplify (* 0.5 0) into 0 1.886 * [backup-simplify]: Simplify (* 0 y) into 0 1.886 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.886 * [backup-simplify]: Simplify (/ 1.0 y) into (/ 1.0 y) 1.886 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 1.886 * [taylor]: Taking taylor expansion of 1.0 in y 1.886 * [backup-simplify]: Simplify 1.0 into 1.0 1.887 * [taylor]: Taking taylor expansion of y in y 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.887 * [backup-simplify]: Simplify 1.0 into 1.0 1.888 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 1.889 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 y)) into (* 0.5 y) 1.889 * [backup-simplify]: Simplify (+ (* 0.5 y) 0) into (* 0.5 y) 1.889 * [backup-simplify]: Simplify (- (/ (* 0.5 y) y) (+ (* (/ 1.0 y) (/ 0 y)))) into 0.5 1.889 * [taylor]: Taking taylor expansion of 0.5 in y 1.889 * [backup-simplify]: Simplify 0.5 into 0.5 1.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 1.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (* 0 y))) into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1.0 y) (/ 0 y)) (* 0.5 (/ 0 y)))) into 0 1.892 * [taylor]: Taking taylor expansion of 0 in y 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 0.5 into 0.5 1.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (* 0 y)))) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1.0 y) (/ 0 y)) (* 0.5 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.896 * [taylor]: Taking taylor expansion of 0 in y 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1.0 y) (/ 0 y)) (* 0.5 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.908 * [taylor]: Taking taylor expansion of 0 in y 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify (+ (* 0.5 (* 1 x)) (* 1.0 (* (/ 1 y) 1))) into (+ (* 0.5 x) (* 1.0 (/ 1 y))) 1.909 * [backup-simplify]: Simplify (/ (fma (/ (/ 1 x) 2.0) (/ 1 y) 1.0) (/ 1 y)) into (* (fma (/ 0.5 x) (/ 1 y) 1.0) y) 1.909 * [approximate]: Taking taylor expansion of (* (fma (/ 0.5 x) (/ 1 y) 1.0) y) in (x y) around 0 1.909 * [taylor]: Taking taylor expansion of (* (fma (/ 0.5 x) (/ 1 y) 1.0) y) in y 1.909 * [taylor]: Taking taylor expansion of (fma (/ 0.5 x) (/ 1 y) 1.0) in y 1.909 * [taylor]: Rewrote expression to (+ (* (/ 0.5 x) (/ 1 y)) 1.0) 1.909 * [taylor]: Taking taylor expansion of (* (/ 0.5 x) (/ 1 y)) in y 1.909 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 1.909 * [taylor]: Taking taylor expansion of 0.5 in y 1.909 * [backup-simplify]: Simplify 0.5 into 0.5 1.909 * [taylor]: Taking taylor expansion of x in y 1.909 * [backup-simplify]: Simplify x into x 1.909 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 1.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.909 * [taylor]: Taking taylor expansion of y in y 1.909 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify 1 into 1 1.910 * [backup-simplify]: Simplify (/ 1 1) into 1 1.910 * [taylor]: Taking taylor expansion of 1.0 in y 1.910 * [backup-simplify]: Simplify 1.0 into 1.0 1.910 * [taylor]: Taking taylor expansion of y in y 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [taylor]: Taking taylor expansion of (* (fma (/ 0.5 x) (/ 1 y) 1.0) y) in x 1.910 * [taylor]: Taking taylor expansion of (fma (/ 0.5 x) (/ 1 y) 1.0) in x 1.910 * [taylor]: Rewrote expression to (+ (* (/ 0.5 x) (/ 1 y)) 1.0) 1.910 * [taylor]: Taking taylor expansion of (* (/ 0.5 x) (/ 1 y)) in x 1.910 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.910 * [taylor]: Taking taylor expansion of 0.5 in x 1.910 * [backup-simplify]: Simplify 0.5 into 0.5 1.910 * [taylor]: Taking taylor expansion of x in x 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 1.911 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.911 * [taylor]: Taking taylor expansion of y in x 1.911 * [backup-simplify]: Simplify y into y 1.911 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.911 * [taylor]: Taking taylor expansion of 1.0 in x 1.911 * [backup-simplify]: Simplify 1.0 into 1.0 1.911 * [taylor]: Taking taylor expansion of y in x 1.911 * [backup-simplify]: Simplify y into y 1.911 * [taylor]: Taking taylor expansion of (* (fma (/ 0.5 x) (/ 1 y) 1.0) y) in x 1.911 * [taylor]: Taking taylor expansion of (fma (/ 0.5 x) (/ 1 y) 1.0) in x 1.911 * [taylor]: Rewrote expression to (+ (* (/ 0.5 x) (/ 1 y)) 1.0) 1.911 * [taylor]: Taking taylor expansion of (* (/ 0.5 x) (/ 1 y)) in x 1.911 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.911 * [taylor]: Taking taylor expansion of 0.5 in x 1.911 * [backup-simplify]: Simplify 0.5 into 0.5 1.911 * [taylor]: Taking taylor expansion of x in x 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 1.912 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.912 * [taylor]: Taking taylor expansion of y in x 1.912 * [backup-simplify]: Simplify y into y 1.912 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.912 * [taylor]: Taking taylor expansion of 1.0 in x 1.912 * [backup-simplify]: Simplify 1.0 into 1.0 1.912 * [taylor]: Taking taylor expansion of y in x 1.912 * [backup-simplify]: Simplify y into y 1.912 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.912 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 1.912 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 1.912 * [taylor]: Taking taylor expansion of 0.5 in y 1.912 * [backup-simplify]: Simplify 0.5 into 0.5 1.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 1.914 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.914 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (* 1.0 y)) into (* 1.0 y) 1.914 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.914 * [taylor]: Taking taylor expansion of 1.0 in y 1.914 * [backup-simplify]: Simplify 1.0 into 1.0 1.914 * [taylor]: Taking taylor expansion of y in y 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.915 * [backup-simplify]: Simplify 0.5 into 0.5 1.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.917 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (* 0 y))) into 0 1.917 * [taylor]: Taking taylor expansion of 0 in y 1.917 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 y)))) into 0 1.921 * [taylor]: Taking taylor expansion of 0 in y 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 1.922 * [backup-simplify]: Simplify 1.0 into 1.0 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.926 * [taylor]: Taking taylor expansion of 0 in y 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))))) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 1.932 * [taylor]: Taking taylor expansion of 0 in y 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 y) 1)) (* 0.5 (* 1 (/ 1 (/ 1 x))))) into (+ (* 0.5 x) (* 1.0 (/ 1 y))) 1.932 * [backup-simplify]: Simplify (/ (fma (/ (/ 1 (- x)) 2.0) (/ 1 (- y)) 1.0) (/ 1 (- y))) into (* -1 (* (fma (/ -0.5 x) (/ -1 y) 1.0) y)) 1.932 * [approximate]: Taking taylor expansion of (* -1 (* (fma (/ -0.5 x) (/ -1 y) 1.0) y)) in (x y) around 0 1.932 * [taylor]: Taking taylor expansion of (* -1 (* (fma (/ -0.5 x) (/ -1 y) 1.0) y)) in y 1.932 * [taylor]: Taking taylor expansion of -1 in y 1.932 * [backup-simplify]: Simplify -1 into -1 1.932 * [taylor]: Taking taylor expansion of (* (fma (/ -0.5 x) (/ -1 y) 1.0) y) in y 1.932 * [taylor]: Taking taylor expansion of (fma (/ -0.5 x) (/ -1 y) 1.0) in y 1.932 * [taylor]: Rewrote expression to (+ (* (/ -0.5 x) (/ -1 y)) 1.0) 1.932 * [taylor]: Taking taylor expansion of (* (/ -0.5 x) (/ -1 y)) in y 1.932 * [taylor]: Taking taylor expansion of (/ -0.5 x) in y 1.932 * [taylor]: Taking taylor expansion of -0.5 in y 1.932 * [backup-simplify]: Simplify -0.5 into -0.5 1.933 * [taylor]: Taking taylor expansion of x in y 1.933 * [backup-simplify]: Simplify x into x 1.933 * [backup-simplify]: Simplify (/ -0.5 x) into (/ -0.5 x) 1.933 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.933 * [taylor]: Taking taylor expansion of -1 in y 1.933 * [backup-simplify]: Simplify -1 into -1 1.933 * [taylor]: Taking taylor expansion of y in y 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (/ -1 1) into -1 1.933 * [taylor]: Taking taylor expansion of 1.0 in y 1.933 * [backup-simplify]: Simplify 1.0 into 1.0 1.933 * [taylor]: Taking taylor expansion of y in y 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [taylor]: Taking taylor expansion of (* -1 (* (fma (/ -0.5 x) (/ -1 y) 1.0) y)) in x 1.933 * [taylor]: Taking taylor expansion of -1 in x 1.933 * [backup-simplify]: Simplify -1 into -1 1.933 * [taylor]: Taking taylor expansion of (* (fma (/ -0.5 x) (/ -1 y) 1.0) y) in x 1.933 * [taylor]: Taking taylor expansion of (fma (/ -0.5 x) (/ -1 y) 1.0) in x 1.933 * [taylor]: Rewrote expression to (+ (* (/ -0.5 x) (/ -1 y)) 1.0) 1.933 * [taylor]: Taking taylor expansion of (* (/ -0.5 x) (/ -1 y)) in x 1.933 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.933 * [taylor]: Taking taylor expansion of -0.5 in x 1.933 * [backup-simplify]: Simplify -0.5 into -0.5 1.933 * [taylor]: Taking taylor expansion of x in x 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.934 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 1.934 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.934 * [taylor]: Taking taylor expansion of -1 in x 1.934 * [backup-simplify]: Simplify -1 into -1 1.934 * [taylor]: Taking taylor expansion of y in x 1.934 * [backup-simplify]: Simplify y into y 1.934 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.934 * [taylor]: Taking taylor expansion of 1.0 in x 1.934 * [backup-simplify]: Simplify 1.0 into 1.0 1.934 * [taylor]: Taking taylor expansion of y in x 1.934 * [backup-simplify]: Simplify y into y 1.934 * [taylor]: Taking taylor expansion of (* -1 (* (fma (/ -0.5 x) (/ -1 y) 1.0) y)) in x 1.934 * [taylor]: Taking taylor expansion of -1 in x 1.934 * [backup-simplify]: Simplify -1 into -1 1.934 * [taylor]: Taking taylor expansion of (* (fma (/ -0.5 x) (/ -1 y) 1.0) y) in x 1.934 * [taylor]: Taking taylor expansion of (fma (/ -0.5 x) (/ -1 y) 1.0) in x 1.934 * [taylor]: Rewrote expression to (+ (* (/ -0.5 x) (/ -1 y)) 1.0) 1.934 * [taylor]: Taking taylor expansion of (* (/ -0.5 x) (/ -1 y)) in x 1.934 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 1.934 * [taylor]: Taking taylor expansion of -0.5 in x 1.934 * [backup-simplify]: Simplify -0.5 into -0.5 1.934 * [taylor]: Taking taylor expansion of x in x 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.934 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 1.934 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.934 * [taylor]: Taking taylor expansion of -1 in x 1.934 * [backup-simplify]: Simplify -1 into -1 1.935 * [taylor]: Taking taylor expansion of y in x 1.935 * [backup-simplify]: Simplify y into y 1.935 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.935 * [taylor]: Taking taylor expansion of 1.0 in x 1.935 * [backup-simplify]: Simplify 1.0 into 1.0 1.935 * [taylor]: Taking taylor expansion of y in x 1.935 * [backup-simplify]: Simplify y into y 1.935 * [backup-simplify]: Simplify (* -0.5 (/ -1 y)) into (/ 0.5 y) 1.935 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 1.935 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 1.935 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 1.935 * [taylor]: Taking taylor expansion of -0.5 in y 1.935 * [backup-simplify]: Simplify -0.5 into -0.5 1.935 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 1.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (/ -1 y))) into 0 1.936 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.936 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (* 1.0 y)) into (* 1.0 y) 1.937 * [backup-simplify]: Simplify (+ (* -1 (* 1.0 y)) (* 0 0.5)) into (- (* 1.0 y)) 1.937 * [taylor]: Taking taylor expansion of (- (* 1.0 y)) in y 1.937 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.937 * [taylor]: Taking taylor expansion of 1.0 in y 1.937 * [backup-simplify]: Simplify 1.0 into 1.0 1.937 * [taylor]: Taking taylor expansion of y in y 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify -0.5 into -0.5 1.937 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (* 0 y))) into 0 1.941 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 1.0 y)) (* 0 0.5))) into 0 1.941 * [taylor]: Taking taylor expansion of 0 in y 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.941 * [backup-simplify]: Simplify (- 0) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 y)))) into 0 1.946 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* 1.0 y)) (* 0 0.5)))) into 0 1.946 * [taylor]: Taking taylor expansion of 0 in y 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 1.948 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.948 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y)))))) into 0 1.951 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.953 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1.0 y)) (* 0 0.5))))) into 0 1.953 * [taylor]: Taking taylor expansion of 0 in y 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 1.955 * [backup-simplify]: Simplify (- 0) into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y))))))) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 1.960 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1.0 y)) (* 0 0.5)))))) into 0 1.960 * [taylor]: Taking taylor expansion of 0 in y 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 (- y)) 1)) (* -0.5 (* 1 (/ 1 (/ 1 (- x)))))) into (+ (* 0.5 x) (* 1.0 (/ 1 y))) 1.961 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.961 * [backup-simplify]: Simplify (/ 1 (/ (fma (/ x 2.0) y 1.0) y)) into (/ y (fma (* 0.5 x) y 1.0)) 1.961 * [approximate]: Taking taylor expansion of (/ y (fma (* 0.5 x) y 1.0)) in (x y) around 0 1.961 * [taylor]: Taking taylor expansion of (/ y (fma (* 0.5 x) y 1.0)) in y 1.961 * [taylor]: Taking taylor expansion of y in y 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [taylor]: Taking taylor expansion of (fma (* 0.5 x) y 1.0) in y 1.961 * [taylor]: Rewrote expression to (+ (* (* 0.5 x) y) 1.0) 1.961 * [taylor]: Taking taylor expansion of (* (* 0.5 x) y) in y 1.961 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 1.962 * [taylor]: Taking taylor expansion of 0.5 in y 1.962 * [backup-simplify]: Simplify 0.5 into 0.5 1.962 * [taylor]: Taking taylor expansion of x in y 1.962 * [backup-simplify]: Simplify x into x 1.962 * [taylor]: Taking taylor expansion of y in y 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of 1.0 in y 1.962 * [backup-simplify]: Simplify 1.0 into 1.0 1.962 * [backup-simplify]: Simplify (* 0.5 x) into (* 0.5 x) 1.962 * [backup-simplify]: Simplify (* (* 0.5 x) 0) into 0 1.962 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.963 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 1.963 * [taylor]: Taking taylor expansion of (/ y (fma (* 0.5 x) y 1.0)) in x 1.963 * [taylor]: Taking taylor expansion of y in x 1.963 * [backup-simplify]: Simplify y into y 1.963 * [taylor]: Taking taylor expansion of (fma (* 0.5 x) y 1.0) in x 1.963 * [taylor]: Rewrote expression to (+ (* (* 0.5 x) y) 1.0) 1.963 * [taylor]: Taking taylor expansion of (* (* 0.5 x) y) in x 1.963 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.963 * [taylor]: Taking taylor expansion of 0.5 in x 1.963 * [backup-simplify]: Simplify 0.5 into 0.5 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of y in x 1.963 * [backup-simplify]: Simplify y into y 1.963 * [taylor]: Taking taylor expansion of 1.0 in x 1.963 * [backup-simplify]: Simplify 1.0 into 1.0 1.964 * [backup-simplify]: Simplify (* 0.5 0) into 0 1.964 * [backup-simplify]: Simplify (* 0 y) into 0 1.964 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.964 * [backup-simplify]: Simplify (/ y 1.0) into (* 1.0 y) 1.964 * [taylor]: Taking taylor expansion of (/ y (fma (* 0.5 x) y 1.0)) in x 1.964 * [taylor]: Taking taylor expansion of y in x 1.964 * [backup-simplify]: Simplify y into y 1.964 * [taylor]: Taking taylor expansion of (fma (* 0.5 x) y 1.0) in x 1.964 * [taylor]: Rewrote expression to (+ (* (* 0.5 x) y) 1.0) 1.964 * [taylor]: Taking taylor expansion of (* (* 0.5 x) y) in x 1.964 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.964 * [taylor]: Taking taylor expansion of 0.5 in x 1.965 * [backup-simplify]: Simplify 0.5 into 0.5 1.965 * [taylor]: Taking taylor expansion of x in x 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [taylor]: Taking taylor expansion of y in x 1.965 * [backup-simplify]: Simplify y into y 1.965 * [taylor]: Taking taylor expansion of 1.0 in x 1.965 * [backup-simplify]: Simplify 1.0 into 1.0 1.965 * [backup-simplify]: Simplify (* 0.5 0) into 0 1.965 * [backup-simplify]: Simplify (* 0 y) into 0 1.965 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.966 * [backup-simplify]: Simplify (/ y 1.0) into (* 1.0 y) 1.966 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 1.966 * [taylor]: Taking taylor expansion of 1.0 in y 1.966 * [backup-simplify]: Simplify 1.0 into 1.0 1.966 * [taylor]: Taking taylor expansion of y in y 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 1.967 * [backup-simplify]: Simplify 1.0 into 1.0 1.968 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 1.969 * [backup-simplify]: Simplify (+ (* 0 0) (* 0.5 y)) into (* 0.5 y) 1.969 * [backup-simplify]: Simplify (+ (* 0.5 y) 0) into (* 0.5 y) 1.969 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* (* 1.0 y) (/ (* 0.5 y) 1.0)))) into (- (* 0.5 (pow y 2))) 1.969 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow y 2))) in y 1.970 * [taylor]: Taking taylor expansion of (* 0.5 (pow y 2)) in y 1.970 * [taylor]: Taking taylor expansion of 0.5 in y 1.970 * [backup-simplify]: Simplify 0.5 into 0.5 1.970 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.970 * [taylor]: Taking taylor expansion of y in y 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 1.972 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (* 0 y))) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* (* 1.0 y) (/ 0 1.0)) (* (- (* 0.5 (pow y 2))) (/ (* 0.5 y) 1.0)))) into (* 0.25 (pow y 3)) 1.974 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 3)) in y 1.974 * [taylor]: Taking taylor expansion of 0.25 in y 1.974 * [backup-simplify]: Simplify 0.25 into 0.25 1.974 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.974 * [taylor]: Taking taylor expansion of y in y 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (* 1 1) into 1 1.974 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.975 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.975 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.976 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (* 0 y)))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.980 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* (* 1.0 y) (/ 0 1.0)) (* (- (* 0.5 (pow y 2))) (/ 0 1.0)) (* (* 0.25 (pow y 3)) (/ (* 0.5 y) 1.0)))) into (- (* 0.125 (pow y 4))) 1.980 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow y 4))) in y 1.980 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 4)) in y 1.980 * [taylor]: Taking taylor expansion of 0.125 in y 1.980 * [backup-simplify]: Simplify 0.125 into 0.125 1.980 * [taylor]: Taking taylor expansion of (pow y 4) in y 1.980 * [taylor]: Taking taylor expansion of y in y 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.981 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 1.982 * [backup-simplify]: Simplify (- 0) into 0 1.982 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.986 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* (* 1.0 y) (/ 0 1.0)) (* (- (* 0.5 (pow y 2))) (/ 0 1.0)) (* (* 0.25 (pow y 3)) (/ 0 1.0)) (* (- (* 0.125 (pow y 4))) (/ (* 0.5 y) 1.0)))) into (* 0.0625 (pow y 5)) 1.988 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 5)) in y 1.988 * [taylor]: Taking taylor expansion of 0.0625 in y 1.988 * [backup-simplify]: Simplify 0.0625 into 0.0625 1.988 * [taylor]: Taking taylor expansion of (pow y 5) in y 1.988 * [taylor]: Taking taylor expansion of y in y 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify (* 1 1) into 1 1.989 * [backup-simplify]: Simplify (* 1 1) into 1 1.990 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.990 * [backup-simplify]: Simplify 0.25 into 0.25 1.990 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow y 3) (pow x 2))) (+ (* (- 0.5) (* (pow y 2) x)) (* 1.0 (* y 1)))) into (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) 1.991 * [backup-simplify]: Simplify (/ 1 (/ (fma (/ (/ 1 x) 2.0) (/ 1 y) 1.0) (/ 1 y))) into (/ 1 (* (fma (/ 0.5 x) (/ 1 y) 1.0) y)) 1.991 * [approximate]: Taking taylor expansion of (/ 1 (* (fma (/ 0.5 x) (/ 1 y) 1.0) y)) in (x y) around 0 1.991 * [taylor]: Taking taylor expansion of (/ 1 (* (fma (/ 0.5 x) (/ 1 y) 1.0) y)) in y 1.991 * [taylor]: Taking taylor expansion of (* (fma (/ 0.5 x) (/ 1 y) 1.0) y) in y 1.991 * [taylor]: Taking taylor expansion of (fma (/ 0.5 x) (/ 1 y) 1.0) in y 1.991 * [taylor]: Rewrote expression to (+ (* (/ 0.5 x) (/ 1 y)) 1.0) 1.991 * [taylor]: Taking taylor expansion of (* (/ 0.5 x) (/ 1 y)) in y 1.991 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 1.991 * [taylor]: Taking taylor expansion of 0.5 in y 1.991 * [backup-simplify]: Simplify 0.5 into 0.5 1.991 * [taylor]: Taking taylor expansion of x in y 1.991 * [backup-simplify]: Simplify x into x 1.991 * [backup-simplify]: Simplify (/ 0.5 x) into (/ 0.5 x) 1.991 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.991 * [taylor]: Taking taylor expansion of y in y 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [taylor]: Taking taylor expansion of 1.0 in y 1.992 * [backup-simplify]: Simplify 1.0 into 1.0 1.992 * [taylor]: Taking taylor expansion of y in y 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (* (/ 0.5 x) 1) into (/ 0.5 x) 1.992 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 1.992 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 x)) 0) into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 0.5 x) (/ 0 x)))) into 0 1.993 * [backup-simplify]: Simplify (+ (* (/ 0.5 x) 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.994 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 1) (* 1.0 0)) into (* 0.5 (/ 1 x)) 1.994 * [backup-simplify]: Simplify (/ 1 (* 0.5 (/ 1 x))) into (* 2.0 x) 1.994 * [taylor]: Taking taylor expansion of (/ 1 (* (fma (/ 0.5 x) (/ 1 y) 1.0) y)) in x 1.995 * [taylor]: Taking taylor expansion of (* (fma (/ 0.5 x) (/ 1 y) 1.0) y) in x 1.995 * [taylor]: Taking taylor expansion of (fma (/ 0.5 x) (/ 1 y) 1.0) in x 1.995 * [taylor]: Rewrote expression to (+ (* (/ 0.5 x) (/ 1 y)) 1.0) 1.995 * [taylor]: Taking taylor expansion of (* (/ 0.5 x) (/ 1 y)) in x 1.995 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.995 * [taylor]: Taking taylor expansion of 0.5 in x 1.995 * [backup-simplify]: Simplify 0.5 into 0.5 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 1.995 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.995 * [taylor]: Taking taylor expansion of y in x 1.995 * [backup-simplify]: Simplify y into y 1.996 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.996 * [taylor]: Taking taylor expansion of 1.0 in x 1.996 * [backup-simplify]: Simplify 1.0 into 1.0 1.996 * [taylor]: Taking taylor expansion of y in x 1.996 * [backup-simplify]: Simplify y into y 1.996 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.996 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 1.996 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 1.996 * [backup-simplify]: Simplify (/ 1 0.5) into 2.0 1.996 * [taylor]: Taking taylor expansion of (/ 1 (* (fma (/ 0.5 x) (/ 1 y) 1.0) y)) in x 1.996 * [taylor]: Taking taylor expansion of (* (fma (/ 0.5 x) (/ 1 y) 1.0) y) in x 1.996 * [taylor]: Taking taylor expansion of (fma (/ 0.5 x) (/ 1 y) 1.0) in x 1.997 * [taylor]: Rewrote expression to (+ (* (/ 0.5 x) (/ 1 y)) 1.0) 1.997 * [taylor]: Taking taylor expansion of (* (/ 0.5 x) (/ 1 y)) in x 1.997 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 1.997 * [taylor]: Taking taylor expansion of 0.5 in x 1.997 * [backup-simplify]: Simplify 0.5 into 0.5 1.997 * [taylor]: Taking taylor expansion of x in x 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 1.997 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.997 * [taylor]: Taking taylor expansion of y in x 1.997 * [backup-simplify]: Simplify y into y 1.998 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [backup-simplify]: Simplify 1.0 into 1.0 1.998 * [taylor]: Taking taylor expansion of y in x 1.998 * [backup-simplify]: Simplify y into y 1.998 * [backup-simplify]: Simplify (* 0.5 (/ 1 y)) into (/ 0.5 y) 1.998 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 1.998 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 1.998 * [backup-simplify]: Simplify (/ 1 0.5) into 2.0 1.998 * [taylor]: Taking taylor expansion of 2.0 in y 1.998 * [backup-simplify]: Simplify 2.0 into 2.0 1.998 * [backup-simplify]: Simplify 2.0 into 2.0 1.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ 1 y))) into 0 2.000 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.000 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (* 1.0 y)) into (* 1.0 y) 2.000 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ (* 1.0 y) 0.5)))) into (- (* 4.0 y)) 2.001 * [taylor]: Taking taylor expansion of (- (* 4.0 y)) in y 2.001 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 2.001 * [taylor]: Taking taylor expansion of 4.0 in y 2.001 * [backup-simplify]: Simplify 4.0 into 4.0 2.001 * [taylor]: Taking taylor expansion of y in y 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (* 4.0 0) into 0 2.001 * [backup-simplify]: Simplify (- 0) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (* 0 y))) into 0 2.005 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 0 0.5)) (* (- (* 4.0 y)) (/ (* 1.0 y) 0.5)))) into (* 8.0 (pow y 2)) 2.005 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 2.005 * [taylor]: Taking taylor expansion of 8.0 in y 2.005 * [backup-simplify]: Simplify 8.0 into 8.0 2.005 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.005 * [taylor]: Taking taylor expansion of y in y 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 2.007 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.007 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.010 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 y)))) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 0 0.5)) (* (- (* 4.0 y)) (/ 0 0.5)) (* (* 8.0 (pow y 2)) (/ (* 1.0 y) 0.5)))) into (- (* 16.0 (pow y 3))) 2.011 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 3))) in y 2.011 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 2.011 * [taylor]: Taking taylor expansion of 16.0 in y 2.012 * [backup-simplify]: Simplify 16.0 into 16.0 2.012 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 1) (* 0 0))) into 0 2.013 * [backup-simplify]: Simplify (- 0) into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 0 0.5)) (* (- (* 4.0 y)) (/ 0 0.5)) (* (* 8.0 (pow y 2)) (/ 0 0.5)) (* (- (* 16.0 (pow y 3))) (/ (* 1.0 y) 0.5)))) into (* 32.0 (pow y 4)) 2.019 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 2.019 * [taylor]: Taking taylor expansion of 32.0 in y 2.019 * [backup-simplify]: Simplify 32.0 into 32.0 2.019 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.019 * [taylor]: Taking taylor expansion of y in y 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (* 1 1) into 1 2.020 * [backup-simplify]: Simplify (* 8.0 1) into 8.0 2.020 * [backup-simplify]: Simplify 8.0 into 8.0 2.021 * [backup-simplify]: Simplify (+ (* 8.0 (* (pow (/ 1 y) 2) (pow (/ 1 x) 3))) (+ (* (- 4.0) (* (/ 1 y) (pow (/ 1 x) 2))) (* 2.0 (* 1 (/ 1 x))))) into (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 2.021 * [backup-simplify]: Simplify (/ 1 (/ (fma (/ (/ 1 (- x)) 2.0) (/ 1 (- y)) 1.0) (/ 1 (- y)))) into (/ -1 (* (fma (/ -0.5 x) (/ -1 y) 1.0) y)) 2.021 * [approximate]: Taking taylor expansion of (/ -1 (* (fma (/ -0.5 x) (/ -1 y) 1.0) y)) in (x y) around 0 2.021 * [taylor]: Taking taylor expansion of (/ -1 (* (fma (/ -0.5 x) (/ -1 y) 1.0) y)) in y 2.021 * [taylor]: Taking taylor expansion of -1 in y 2.021 * [backup-simplify]: Simplify -1 into -1 2.021 * [taylor]: Taking taylor expansion of (* (fma (/ -0.5 x) (/ -1 y) 1.0) y) in y 2.021 * [taylor]: Taking taylor expansion of (fma (/ -0.5 x) (/ -1 y) 1.0) in y 2.021 * [taylor]: Rewrote expression to (+ (* (/ -0.5 x) (/ -1 y)) 1.0) 2.021 * [taylor]: Taking taylor expansion of (* (/ -0.5 x) (/ -1 y)) in y 2.021 * [taylor]: Taking taylor expansion of (/ -0.5 x) in y 2.021 * [taylor]: Taking taylor expansion of -0.5 in y 2.021 * [backup-simplify]: Simplify -0.5 into -0.5 2.021 * [taylor]: Taking taylor expansion of x in y 2.021 * [backup-simplify]: Simplify x into x 2.022 * [backup-simplify]: Simplify (/ -0.5 x) into (/ -0.5 x) 2.022 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.022 * [taylor]: Taking taylor expansion of -1 in y 2.022 * [backup-simplify]: Simplify -1 into -1 2.022 * [taylor]: Taking taylor expansion of y in y 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (/ -1 1) into -1 2.022 * [taylor]: Taking taylor expansion of 1.0 in y 2.022 * [backup-simplify]: Simplify 1.0 into 1.0 2.022 * [taylor]: Taking taylor expansion of y in y 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (* (/ -0.5 x) -1) into (/ 0.5 x) 2.022 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 2.022 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 x)) 0) into 0 2.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -0.5 x) (/ 0 x)))) into 0 2.024 * [backup-simplify]: Simplify (+ (* (/ -0.5 x) 0) (* 0 -1)) into 0 2.024 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.025 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 x)) 1) (* 1.0 0)) into (* 0.5 (/ 1 x)) 2.025 * [backup-simplify]: Simplify (/ -1 (* 0.5 (/ 1 x))) into (* -2.0 x) 2.025 * [taylor]: Taking taylor expansion of (/ -1 (* (fma (/ -0.5 x) (/ -1 y) 1.0) y)) in x 2.025 * [taylor]: Taking taylor expansion of -1 in x 2.025 * [backup-simplify]: Simplify -1 into -1 2.025 * [taylor]: Taking taylor expansion of (* (fma (/ -0.5 x) (/ -1 y) 1.0) y) in x 2.025 * [taylor]: Taking taylor expansion of (fma (/ -0.5 x) (/ -1 y) 1.0) in x 2.025 * [taylor]: Rewrote expression to (+ (* (/ -0.5 x) (/ -1 y)) 1.0) 2.025 * [taylor]: Taking taylor expansion of (* (/ -0.5 x) (/ -1 y)) in x 2.025 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.025 * [taylor]: Taking taylor expansion of -0.5 in x 2.025 * [backup-simplify]: Simplify -0.5 into -0.5 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 2.026 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.026 * [taylor]: Taking taylor expansion of -1 in x 2.026 * [backup-simplify]: Simplify -1 into -1 2.026 * [taylor]: Taking taylor expansion of y in x 2.026 * [backup-simplify]: Simplify y into y 2.026 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.026 * [taylor]: Taking taylor expansion of 1.0 in x 2.026 * [backup-simplify]: Simplify 1.0 into 1.0 2.026 * [taylor]: Taking taylor expansion of y in x 2.026 * [backup-simplify]: Simplify y into y 2.026 * [backup-simplify]: Simplify (* -0.5 (/ -1 y)) into (/ 0.5 y) 2.026 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 2.026 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 2.027 * [backup-simplify]: Simplify (/ -1 0.5) into -2.0 2.027 * [taylor]: Taking taylor expansion of (/ -1 (* (fma (/ -0.5 x) (/ -1 y) 1.0) y)) in x 2.027 * [taylor]: Taking taylor expansion of -1 in x 2.027 * [backup-simplify]: Simplify -1 into -1 2.027 * [taylor]: Taking taylor expansion of (* (fma (/ -0.5 x) (/ -1 y) 1.0) y) in x 2.027 * [taylor]: Taking taylor expansion of (fma (/ -0.5 x) (/ -1 y) 1.0) in x 2.027 * [taylor]: Rewrote expression to (+ (* (/ -0.5 x) (/ -1 y)) 1.0) 2.027 * [taylor]: Taking taylor expansion of (* (/ -0.5 x) (/ -1 y)) in x 2.027 * [taylor]: Taking taylor expansion of (/ -0.5 x) in x 2.027 * [taylor]: Taking taylor expansion of -0.5 in x 2.027 * [backup-simplify]: Simplify -0.5 into -0.5 2.027 * [taylor]: Taking taylor expansion of x in x 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5 2.028 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.028 * [taylor]: Taking taylor expansion of -1 in x 2.028 * [backup-simplify]: Simplify -1 into -1 2.028 * [taylor]: Taking taylor expansion of y in x 2.028 * [backup-simplify]: Simplify y into y 2.028 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.028 * [taylor]: Taking taylor expansion of 1.0 in x 2.028 * [backup-simplify]: Simplify 1.0 into 1.0 2.028 * [taylor]: Taking taylor expansion of y in x 2.028 * [backup-simplify]: Simplify y into y 2.028 * [backup-simplify]: Simplify (* -0.5 (/ -1 y)) into (/ 0.5 y) 2.028 * [backup-simplify]: Simplify (+ (/ 0.5 y) 0) into (* 0.5 (/ 1 y)) 2.028 * [backup-simplify]: Simplify (* (* 0.5 (/ 1 y)) y) into 0.5 2.028 * [backup-simplify]: Simplify (/ -1 0.5) into -2.0 2.029 * [taylor]: Taking taylor expansion of -2.0 in y 2.029 * [backup-simplify]: Simplify -2.0 into -2.0 2.029 * [backup-simplify]: Simplify -2.0 into -2.0 2.029 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 2.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (/ -1 y))) into 0 2.030 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.030 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (* 1.0 y)) into (* 1.0 y) 2.031 * [backup-simplify]: Simplify (- (/ 0 0.5) (+ (* -2.0 (/ (* 1.0 y) 0.5)))) into (* 4.0 y) 2.031 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 2.031 * [taylor]: Taking taylor expansion of 4.0 in y 2.031 * [backup-simplify]: Simplify 4.0 into 4.0 2.031 * [taylor]: Taking taylor expansion of y in y 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (* 4.0 0) into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (* 0 y))) into 0 2.039 * [backup-simplify]: Simplify (- (/ 0 0.5) (+ (* -2.0 (/ 0 0.5)) (* (* 4.0 y) (/ (* 1.0 y) 0.5)))) into (- (* 8.0 (pow y 2))) 2.039 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow y 2))) in y 2.039 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 2.039 * [taylor]: Taking taylor expansion of 8.0 in y 2.039 * [backup-simplify]: Simplify 8.0 into 8.0 2.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.039 * [taylor]: Taking taylor expansion of y in y 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.041 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 2.041 * [backup-simplify]: Simplify 4.0 into 4.0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 y)))) into 0 2.045 * [backup-simplify]: Simplify (- (/ 0 0.5) (+ (* -2.0 (/ 0 0.5)) (* (* 4.0 y) (/ 0 0.5)) (* (- (* 8.0 (pow y 2))) (/ (* 1.0 y) 0.5)))) into (* 16.0 (pow y 3)) 2.045 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 2.045 * [taylor]: Taking taylor expansion of 16.0 in y 2.046 * [backup-simplify]: Simplify 16.0 into 16.0 2.046 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.046 * [taylor]: Taking taylor expansion of y in y 2.046 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify 1 into 1 2.046 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 1) (* 0 0))) into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y)))))) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.050 * [backup-simplify]: Simplify (+ (* (* 0.5 (/ 1 y)) 0) (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.052 * [backup-simplify]: Simplify (- (/ 0 0.5) (+ (* -2.0 (/ 0 0.5)) (* (* 4.0 y) (/ 0 0.5)) (* (- (* 8.0 (pow y 2))) (/ 0 0.5)) (* (* 16.0 (pow y 3)) (/ (* 1.0 y) 0.5)))) into (- (* 32.0 (pow y 4))) 2.052 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow y 4))) in y 2.052 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 2.053 * [taylor]: Taking taylor expansion of 32.0 in y 2.053 * [backup-simplify]: Simplify 32.0 into 32.0 2.053 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.053 * [taylor]: Taking taylor expansion of y in y 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (* 1 1) into 1 2.053 * [backup-simplify]: Simplify (* 8.0 1) into 8.0 2.054 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 2.054 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 2.055 * [backup-simplify]: Simplify (+ (* (- 8.0) (* (pow (/ 1 (- y)) 2) (pow (/ 1 (- x)) 3))) (+ (* 4.0 (* (/ 1 (- y)) (pow (/ 1 (- x)) 2))) (* -2.0 (* 1 (/ 1 (- x)))))) into (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 2.055 * * * [progress]: simplifying candidates 2.058 * [simplify]: Simplifying: (expm1 (/ (fma (/ x 2.0) y 1.0) y)) (log1p (/ (fma (/ x 2.0) y 1.0) y)) (- (log (fma (/ x 2.0) y 1.0)) (log y)) (log (/ (fma (/ x 2.0) y 1.0) y)) (exp (/ (fma (/ x 2.0) y 1.0) y)) (/ (* (* (fma (/ x 2.0) y 1.0) (fma (/ x 2.0) y 1.0)) (fma (/ x 2.0) y 1.0)) (* (* y y) y)) (* (cbrt (/ (fma (/ x 2.0) y 1.0) y)) (cbrt (/ (fma (/ x 2.0) y 1.0) y))) (cbrt (/ (fma (/ x 2.0) y 1.0) y)) (* (* (/ (fma (/ x 2.0) y 1.0) y) (/ (fma (/ x 2.0) y 1.0) y)) (/ (fma (/ x 2.0) y 1.0) y)) (sqrt (/ (fma (/ x 2.0) y 1.0) y)) (sqrt (/ (fma (/ x 2.0) y 1.0) y)) (- (fma (/ x 2.0) y 1.0)) (- y) (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) (* (cbrt y) (cbrt y))) (/ (cbrt (fma (/ x 2.0) y 1.0)) (cbrt y)) (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) (sqrt y)) (/ (cbrt (fma (/ x 2.0) y 1.0)) (sqrt y)) (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) 1) (/ (cbrt (fma (/ x 2.0) y 1.0)) y) (/ (sqrt (fma (/ x 2.0) y 1.0)) (* (cbrt y) (cbrt y))) (/ (sqrt (fma (/ x 2.0) y 1.0)) (cbrt y)) (/ (sqrt (fma (/ x 2.0) y 1.0)) (sqrt y)) (/ (sqrt (fma (/ x 2.0) y 1.0)) (sqrt y)) (/ (sqrt (fma (/ x 2.0) y 1.0)) 1) (/ (sqrt (fma (/ x 2.0) y 1.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (fma (/ x 2.0) y 1.0) (cbrt y)) (/ 1 (sqrt y)) (/ (fma (/ x 2.0) y 1.0) (sqrt y)) (/ 1 1) (/ (fma (/ x 2.0) y 1.0) y) (/ 1 y) (/ y (fma (/ x 2.0) y 1.0)) (/ (fma (/ x 2.0) y 1.0) (* (cbrt y) (cbrt y))) (/ (fma (/ x 2.0) y 1.0) (sqrt y)) (/ (fma (/ x 2.0) y 1.0) 1) (/ y (cbrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))) (/ y (fma (/ x 2.0) y 1.0)) (expm1 (/ 1 (/ (fma (/ x 2.0) y 1.0) y))) (log1p (/ 1 (/ (fma (/ x 2.0) y 1.0) y))) (- 1) (- (- (log (fma (/ x 2.0) y 1.0)) (log y))) (- (log (/ (fma (/ x 2.0) y 1.0) y))) (- 0 (- (log (fma (/ x 2.0) y 1.0)) (log y))) (- 0 (log (/ (fma (/ x 2.0) y 1.0) y))) (- (log 1) (- (log (fma (/ x 2.0) y 1.0)) (log y))) (- (log 1) (log (/ (fma (/ x 2.0) y 1.0) y))) (log (/ 1 (/ (fma (/ x 2.0) y 1.0) y))) (exp (/ 1 (/ (fma (/ x 2.0) y 1.0) y))) (/ (* (* 1 1) 1) (/ (* (* (fma (/ x 2.0) y 1.0) (fma (/ x 2.0) y 1.0)) (fma (/ x 2.0) y 1.0)) (* (* y y) y))) (/ (* (* 1 1) 1) (* (* (/ (fma (/ x 2.0) y 1.0) y) (/ (fma (/ x 2.0) y 1.0) y)) (/ (fma (/ x 2.0) y 1.0) y))) (* (cbrt (/ 1 (/ (fma (/ x 2.0) y 1.0) y))) (cbrt (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))) (cbrt (/ 1 (/ (fma (/ x 2.0) y 1.0) y))) (* (* (/ 1 (/ (fma (/ x 2.0) y 1.0) y)) (/ 1 (/ (fma (/ x 2.0) y 1.0) y))) (/ 1 (/ (fma (/ x 2.0) y 1.0) y))) (sqrt (/ 1 (/ (fma (/ x 2.0) y 1.0) y))) (sqrt (/ 1 (/ (fma (/ x 2.0) y 1.0) y))) (- 1) (- (/ (fma (/ x 2.0) y 1.0) y)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (fma (/ x 2.0) y 1.0) y)) (cbrt (/ (fma (/ x 2.0) y 1.0) y)))) (/ (cbrt 1) (cbrt (/ (fma (/ x 2.0) y 1.0) y))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ (cbrt 1) (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (cbrt (fma (/ x 2.0) y 1.0)) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) (sqrt y))) (/ (cbrt 1) (/ (cbrt (fma (/ x 2.0) y 1.0)) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) 1)) (/ (cbrt 1) (/ (cbrt (fma (/ x 2.0) y 1.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (fma (/ x 2.0) y 1.0)) (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (sqrt (fma (/ x 2.0) y 1.0)) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (fma (/ x 2.0) y 1.0)) (sqrt y))) (/ (cbrt 1) (/ (sqrt (fma (/ x 2.0) y 1.0)) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (fma (/ x 2.0) y 1.0)) 1)) (/ (cbrt 1) (/ (sqrt (fma (/ x 2.0) y 1.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt 1) (/ (fma (/ x 2.0) y 1.0) (cbrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt y))) (/ (cbrt 1) (/ (fma (/ x 2.0) y 1.0) (sqrt y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (fma (/ x 2.0) y 1.0) y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (fma (/ x 2.0) y 1.0) y)) (/ (* (cbrt 1) (cbrt 1)) (fma (/ x 2.0) y 1.0)) (/ (cbrt 1) (/ 1 y)) (/ (sqrt 1) (* (cbrt (/ (fma (/ x 2.0) y 1.0) y)) (cbrt (/ (fma (/ x 2.0) y 1.0) y)))) (/ (sqrt 1) (cbrt (/ (fma (/ x 2.0) y 1.0) y))) (/ (sqrt 1) (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ (sqrt 1) (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ (sqrt 1) (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (cbrt (fma (/ x 2.0) y 1.0)) (cbrt y))) (/ (sqrt 1) (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) (sqrt y))) (/ (sqrt 1) (/ (cbrt (fma (/ x 2.0) y 1.0)) (sqrt y))) (/ (sqrt 1) (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) 1)) (/ (sqrt 1) (/ (cbrt (fma (/ x 2.0) y 1.0)) y)) (/ (sqrt 1) (/ (sqrt (fma (/ x 2.0) y 1.0)) (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (sqrt (fma (/ x 2.0) y 1.0)) (cbrt y))) (/ (sqrt 1) (/ (sqrt (fma (/ x 2.0) y 1.0)) (sqrt y))) (/ (sqrt 1) (/ (sqrt (fma (/ x 2.0) y 1.0)) (sqrt y))) (/ (sqrt 1) (/ (sqrt (fma (/ x 2.0) y 1.0)) 1)) (/ (sqrt 1) (/ (sqrt (fma (/ x 2.0) y 1.0)) y)) (/ (sqrt 1) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt 1) (/ (fma (/ x 2.0) y 1.0) (cbrt y))) (/ (sqrt 1) (/ 1 (sqrt y))) (/ (sqrt 1) (/ (fma (/ x 2.0) y 1.0) (sqrt y))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (fma (/ x 2.0) y 1.0) y)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (fma (/ x 2.0) y 1.0) y)) (/ (sqrt 1) (fma (/ x 2.0) y 1.0)) (/ (sqrt 1) (/ 1 y)) (/ 1 (* (cbrt (/ (fma (/ x 2.0) y 1.0) y)) (cbrt (/ (fma (/ x 2.0) y 1.0) y)))) (/ 1 (cbrt (/ (fma (/ x 2.0) y 1.0) y))) (/ 1 (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ 1 (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ 1 (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (cbrt (fma (/ x 2.0) y 1.0)) (cbrt y))) (/ 1 (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) (sqrt y))) (/ 1 (/ (cbrt (fma (/ x 2.0) y 1.0)) (sqrt y))) (/ 1 (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) 1)) (/ 1 (/ (cbrt (fma (/ x 2.0) y 1.0)) y)) (/ 1 (/ (sqrt (fma (/ x 2.0) y 1.0)) (* (cbrt y) (cbrt y)))) (/ 1 (/ (sqrt (fma (/ x 2.0) y 1.0)) (cbrt y))) (/ 1 (/ (sqrt (fma (/ x 2.0) y 1.0)) (sqrt y))) (/ 1 (/ (sqrt (fma (/ x 2.0) y 1.0)) (sqrt y))) (/ 1 (/ (sqrt (fma (/ x 2.0) y 1.0)) 1)) (/ 1 (/ (sqrt (fma (/ x 2.0) y 1.0)) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ (fma (/ x 2.0) y 1.0) (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ (fma (/ x 2.0) y 1.0) (sqrt y))) (/ 1 (/ 1 1)) (/ 1 (/ (fma (/ x 2.0) y 1.0) y)) (/ 1 1) (/ 1 (/ (fma (/ x 2.0) y 1.0) y)) (/ 1 (fma (/ x 2.0) y 1.0)) (/ 1 (/ 1 y)) (/ 1 (/ (fma (/ x 2.0) y 1.0) y)) (/ (/ (fma (/ x 2.0) y 1.0) y) 1) (/ 1 (* (cbrt (/ (fma (/ x 2.0) y 1.0) y)) (cbrt (/ (fma (/ x 2.0) y 1.0) y)))) (/ 1 (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ 1 (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) (* (cbrt y) (cbrt y)))) (/ 1 (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) (sqrt y))) (/ 1 (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) 1)) (/ 1 (/ (sqrt (fma (/ x 2.0) y 1.0)) (* (cbrt y) (cbrt y)))) (/ 1 (/ (sqrt (fma (/ x 2.0) y 1.0)) (sqrt y))) (/ 1 (/ (sqrt (fma (/ x 2.0) y 1.0)) 1)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ 1 (/ 1 (sqrt y))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (fma (/ x 2.0) y 1.0)) (/ (/ (fma (/ x 2.0) y 1.0) y) (cbrt 1)) (/ (/ (fma (/ x 2.0) y 1.0) y) (sqrt 1)) (/ (/ (fma (/ x 2.0) y 1.0) y) 1) (/ 1 (fma (/ x 2.0) y 1.0)) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (+ (* 0.5 x) (* 1.0 (/ 1 y))) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 2.062 * * [simplify]: Extracting # 0 : cost 0 2.062 * * [simplify]: Extracting # 1 : cost 0 2.063 * * [simplify]: Extracting # 2 : cost 0 2.063 * * [simplify]: Extracting # 3 : cost 0 2.063 * * [simplify]: Extracting # 4 : cost 0 2.064 * * [simplify]: Extracting # 5 : cost 0 2.064 * * [simplify]: Extracting # 6 : cost 0 2.064 * * [simplify]: Extracting # 7 : cost 0 2.065 * * [simplify]: Extracting # 8 : cost 0 2.065 * * [simplify]: Extracting # 9 : cost 0 2.065 * * [simplify]: Extracting # 10 : cost 0 2.066 * * [simplify]: iteration 0 : 184 enodes (cost 2005 ) 2.152 * * [simplify]: Extracting # 0 : cost 0 2.153 * * [simplify]: Extracting # 1 : cost 0 2.153 * * [simplify]: Extracting # 2 : cost 0 2.154 * * [simplify]: Extracting # 3 : cost 0 2.154 * * [simplify]: Extracting # 4 : cost 0 2.155 * * [simplify]: iteration 1 : 387 enodes (cost 1781 ) 2.294 * * [simplify]: Extracting # 0 : cost 0 2.295 * * [simplify]: Extracting # 1 : cost 0 2.296 * * [simplify]: Extracting # 2 : cost 0 2.297 * * [simplify]: Extracting # 3 : cost 0 2.298 * * [simplify]: Extracting # 4 : cost 0 2.300 * * [simplify]: iteration 2 : 829 enodes (cost 1580 ) 2.704 * * [simplify]: Extracting # 0 : cost 0 2.706 * * [simplify]: Extracting # 1 : cost 0 2.708 * * [simplify]: Extracting # 2 : cost 0 2.710 * * [simplify]: Extracting # 3 : cost 0 2.711 * * [simplify]: iteration 3 : 2060 enodes (cost 1560 ) 4.197 * * [simplify]: Extracting # 0 : cost 0 4.202 * * [simplify]: Extracting # 1 : cost 0 4.209 * * [simplify]: Extracting # 2 : cost 0 4.218 * * [simplify]: Extracting # 3 : cost 0 4.223 * * [simplify]: Extracting # 4 : cost 0 4.227 * * [simplify]: iteration done: 5001 enodes (cost 1560 ) 4.228 * [simplify]: Simplified to: (expm1 (/ (fma (/ x 2.0) y 1.0) y)) (log1p (/ (fma (/ x 2.0) y 1.0) y)) (log (/ (fma (/ x 2.0) y 1.0) y)) (log (/ (fma (/ x 2.0) y 1.0) y)) (exp (/ (fma (/ x 2.0) y 1.0) y)) (pow (/ (fma (/ x 2.0) y 1.0) y) 3) (* (cbrt (/ (fma (/ x 2.0) y 1.0) y)) (cbrt (/ (fma (/ x 2.0) y 1.0) y))) (cbrt (/ (fma (/ x 2.0) y 1.0) y)) (pow (/ (fma (/ x 2.0) y 1.0) y) 3) (sqrt (/ (fma (/ x 2.0) y 1.0) y)) (sqrt (/ (fma (/ x 2.0) y 1.0) y)) (- (fma (/ x 2.0) y 1.0)) (- y) (* (/ (cbrt (fma (/ x 2.0) y 1.0)) (cbrt y)) (/ (cbrt (fma (/ x 2.0) y 1.0)) (cbrt y))) (/ (cbrt (fma (/ x 2.0) y 1.0)) (cbrt y)) (/ (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) (sqrt y)) (/ (cbrt (fma (/ x 2.0) y 1.0)) (sqrt y)) (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))) (/ (cbrt (fma (/ x 2.0) y 1.0)) y) (/ (/ (sqrt (fma (/ x 2.0) y 1.0)) (cbrt y)) (cbrt y)) (/ (sqrt (fma (/ x 2.0) y 1.0)) (cbrt y)) (/ (sqrt (fma (/ x 2.0) y 1.0)) (sqrt y)) (/ (sqrt (fma (/ x 2.0) y 1.0)) (sqrt y)) (sqrt (fma (/ x 2.0) y 1.0)) (/ (sqrt (fma (/ x 2.0) y 1.0)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (fma (/ x 2.0) y 1.0) (cbrt y)) (/ 1 (sqrt y)) (/ (fma (/ x 2.0) y 1.0) (sqrt y)) 1 (/ (fma (/ x 2.0) y 1.0) y) (/ 1 y) (/ y (fma (/ x 2.0) y 1.0)) (/ (fma (/ x 2.0) y 1.0) (* (cbrt y) (cbrt y))) (/ (fma (/ x 2.0) y 1.0) (sqrt y)) (fma (/ x 2.0) y 1.0) (/ y (cbrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))) (/ y (fma (/ x 2.0) y 1.0)) (expm1 (/ y (fma (/ x 2.0) y 1.0))) (log1p (/ y (fma (/ x 2.0) y 1.0))) -1 (log (/ y (fma (/ x 2.0) y 1.0))) (log (/ y (fma (/ x 2.0) y 1.0))) (log (/ y (fma (/ x 2.0) y 1.0))) (log (/ y (fma (/ x 2.0) y 1.0))) (log (/ y (fma (/ x 2.0) y 1.0))) (log (/ y (fma (/ x 2.0) y 1.0))) (log (/ y (fma (/ x 2.0) y 1.0))) (exp (/ y (fma (/ x 2.0) y 1.0))) (pow (/ y (fma (/ x 2.0) y 1.0)) 3) (pow (/ y (fma (/ x 2.0) y 1.0)) 3) (* (cbrt (/ y (fma (/ x 2.0) y 1.0))) (cbrt (/ y (fma (/ x 2.0) y 1.0)))) (cbrt (/ y (fma (/ x 2.0) y 1.0))) (pow (/ y (fma (/ x 2.0) y 1.0)) 3) (sqrt (/ y (fma (/ x 2.0) y 1.0))) (sqrt (/ y (fma (/ x 2.0) y 1.0))) -1 (- (/ (fma (/ x 2.0) y 1.0) y)) (/ 1 (* (cbrt (/ (fma (/ x 2.0) y 1.0) y)) (cbrt (/ (fma (/ x 2.0) y 1.0) y)))) (/ 1 (cbrt (/ (fma (/ x 2.0) y 1.0) y))) (/ 1 (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ 1 (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ (cbrt y) (cbrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ (sqrt y) (cbrt (fma (/ x 2.0) y 1.0))) (/ 1 (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ y (cbrt (fma (/ x 2.0) y 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (fma (/ x 2.0) y 1.0))) (/ (cbrt y) (sqrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (sqrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (sqrt (fma (/ x 2.0) y 1.0))) (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (fma (/ x 2.0) y 1.0)) (sqrt y) (/ (sqrt y) (fma (/ x 2.0) y 1.0)) 1 (/ y (fma (/ x 2.0) y 1.0)) 1 (/ y (fma (/ x 2.0) y 1.0)) (/ 1 (fma (/ x 2.0) y 1.0)) y (/ 1 (* (cbrt (/ (fma (/ x 2.0) y 1.0) y)) (cbrt (/ (fma (/ x 2.0) y 1.0) y)))) (/ 1 (cbrt (/ (fma (/ x 2.0) y 1.0) y))) (/ 1 (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ 1 (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ (cbrt y) (cbrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ (sqrt y) (cbrt (fma (/ x 2.0) y 1.0))) (/ 1 (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ y (cbrt (fma (/ x 2.0) y 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (fma (/ x 2.0) y 1.0))) (/ (cbrt y) (sqrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (sqrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (sqrt (fma (/ x 2.0) y 1.0))) (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (fma (/ x 2.0) y 1.0)) (sqrt y) (/ (sqrt y) (fma (/ x 2.0) y 1.0)) 1 (/ y (fma (/ x 2.0) y 1.0)) 1 (/ y (fma (/ x 2.0) y 1.0)) (/ 1 (fma (/ x 2.0) y 1.0)) y (/ 1 (* (cbrt (/ (fma (/ x 2.0) y 1.0) y)) (cbrt (/ (fma (/ x 2.0) y 1.0) y)))) (/ 1 (cbrt (/ (fma (/ x 2.0) y 1.0) y))) (/ 1 (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ 1 (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ (cbrt y) (cbrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ (sqrt y) (cbrt (fma (/ x 2.0) y 1.0))) (/ 1 (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ y (cbrt (fma (/ x 2.0) y 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (fma (/ x 2.0) y 1.0))) (/ (cbrt y) (sqrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (sqrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (sqrt (fma (/ x 2.0) y 1.0))) (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (fma (/ x 2.0) y 1.0)) (sqrt y) (/ (sqrt y) (fma (/ x 2.0) y 1.0)) 1 (/ y (fma (/ x 2.0) y 1.0)) 1 (/ y (fma (/ x 2.0) y 1.0)) (/ 1 (fma (/ x 2.0) y 1.0)) y (/ y (fma (/ x 2.0) y 1.0)) (/ (fma (/ x 2.0) y 1.0) y) (/ 1 (* (cbrt (/ (fma (/ x 2.0) y 1.0) y)) (cbrt (/ (fma (/ x 2.0) y 1.0) y)))) (/ 1 (sqrt (/ (fma (/ x 2.0) y 1.0) y))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ (sqrt y) (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ 1 (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (/ (* (cbrt y) (cbrt y)) (sqrt (fma (/ x 2.0) y 1.0))) (/ (sqrt y) (sqrt (fma (/ x 2.0) y 1.0))) (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (* (cbrt y) (cbrt y)) (sqrt y) 1 1 (/ 1 (fma (/ x 2.0) y 1.0)) (/ (fma (/ x 2.0) y 1.0) y) (/ (fma (/ x 2.0) y 1.0) y) (/ (fma (/ x 2.0) y 1.0) y) (/ 1 (fma (/ x 2.0) y 1.0)) (fma 0.5 x (/ 1.0 y)) (fma 0.5 x (/ 1.0 y)) (fma 0.5 x (/ 1.0 y)) (fma 0.25 (* (pow x 2) (pow y 3)) (* y (- 1.0 (* (* 0.5 x) y)))) (+ (/ 8.0 (* (pow x 3) (pow y 2))) (- (/ 2.0 x) (/ 4.0 (* (pow x 2) y)))) (+ (/ 8.0 (* (pow x 3) (pow y 2))) (- (/ 2.0 x) (/ 4.0 (* (pow x 2) y)))) 4.229 * * * [progress]: adding candidates to table 4.431 * * [progress]: iteration 3 / 4 4.431 * * * [progress]: picking best candidate 4.432 * * * * [pick]: Picked # 4.432 * * * [progress]: localizing error 4.444 * * * [progress]: generating rewritten candidates 4.444 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 4.452 * * * [progress]: generating series expansions 4.452 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 4.452 * [backup-simplify]: Simplify (/ 1 (fma 0.5 x (/ 1.0 y))) into (/ 1 (fma 0.5 x (/ 1.0 y))) 4.452 * [approximate]: Taking taylor expansion of (/ 1 (fma 0.5 x (/ 1.0 y))) in (x y) around 0 4.452 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 x (/ 1.0 y))) in y 4.452 * [taylor]: Taking taylor expansion of (fma 0.5 x (/ 1.0 y)) in y 4.453 * [taylor]: Rewrote expression to (+ (* 0.5 x) (/ 1.0 y)) 4.453 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 4.453 * [taylor]: Taking taylor expansion of 0.5 in y 4.453 * [backup-simplify]: Simplify 0.5 into 0.5 4.453 * [taylor]: Taking taylor expansion of x in y 4.453 * [backup-simplify]: Simplify x into x 4.453 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 4.453 * [taylor]: Taking taylor expansion of 1.0 in y 4.453 * [backup-simplify]: Simplify 1.0 into 1.0 4.453 * [taylor]: Taking taylor expansion of y in y 4.453 * [backup-simplify]: Simplify 0 into 0 4.453 * [backup-simplify]: Simplify 1 into 1 4.453 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.454 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.454 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 4.454 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 x (/ 1.0 y))) in x 4.454 * [taylor]: Taking taylor expansion of (fma 0.5 x (/ 1.0 y)) in x 4.454 * [taylor]: Rewrote expression to (+ (* 0.5 x) (/ 1.0 y)) 4.454 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.454 * [taylor]: Taking taylor expansion of 0.5 in x 4.454 * [backup-simplify]: Simplify 0.5 into 0.5 4.454 * [taylor]: Taking taylor expansion of x in x 4.454 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify 1 into 1 4.454 * [taylor]: Taking taylor expansion of (/ 1.0 y) in x 4.454 * [taylor]: Taking taylor expansion of 1.0 in x 4.454 * [backup-simplify]: Simplify 1.0 into 1.0 4.454 * [taylor]: Taking taylor expansion of y in x 4.454 * [backup-simplify]: Simplify y into y 4.454 * [backup-simplify]: Simplify (/ 1.0 y) into (/ 1.0 y) 4.455 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.455 * [backup-simplify]: Simplify (+ 0 (/ 1.0 y)) into (* 1.0 (/ 1 y)) 4.455 * [backup-simplify]: Simplify (/ 1 (* 1.0 (/ 1 y))) into (* 1.0 y) 4.455 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 x (/ 1.0 y))) in x 4.455 * [taylor]: Taking taylor expansion of (fma 0.5 x (/ 1.0 y)) in x 4.455 * [taylor]: Rewrote expression to (+ (* 0.5 x) (/ 1.0 y)) 4.455 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 4.455 * [taylor]: Taking taylor expansion of 0.5 in x 4.455 * [backup-simplify]: Simplify 0.5 into 0.5 4.455 * [taylor]: Taking taylor expansion of x in x 4.455 * [backup-simplify]: Simplify 0 into 0 4.455 * [backup-simplify]: Simplify 1 into 1 4.455 * [taylor]: Taking taylor expansion of (/ 1.0 y) in x 4.455 * [taylor]: Taking taylor expansion of 1.0 in x 4.455 * [backup-simplify]: Simplify 1.0 into 1.0 4.455 * [taylor]: Taking taylor expansion of y in x 4.455 * [backup-simplify]: Simplify y into y 4.455 * [backup-simplify]: Simplify (/ 1.0 y) into (/ 1.0 y) 4.455 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.456 * [backup-simplify]: Simplify (+ 0 (/ 1.0 y)) into (* 1.0 (/ 1 y)) 4.456 * [backup-simplify]: Simplify (/ 1 (* 1.0 (/ 1 y))) into (* 1.0 y) 4.456 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 4.456 * [taylor]: Taking taylor expansion of 1.0 in y 4.456 * [backup-simplify]: Simplify 1.0 into 1.0 4.456 * [taylor]: Taking taylor expansion of y in y 4.456 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify 1 into 1 4.457 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.457 * [backup-simplify]: Simplify 1.0 into 1.0 4.457 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.458 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1.0 y) (/ 0 y)))) into 0 4.458 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.458 * [backup-simplify]: Simplify (- (+ (* (* 1.0 y) (/ 0.5 (* 1.0 (/ 1 y)))))) into (- (* 0.5 (pow y 2))) 4.458 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow y 2))) in y 4.458 * [taylor]: Taking taylor expansion of (* 0.5 (pow y 2)) in y 4.458 * [taylor]: Taking taylor expansion of 0.5 in y 4.458 * [backup-simplify]: Simplify 0.5 into 0.5 4.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.458 * [taylor]: Taking taylor expansion of y in y 4.458 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify 1 into 1 4.459 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.459 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.459 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1.0 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.460 * [backup-simplify]: Simplify (+ 0 0) into 0 4.460 * [backup-simplify]: Simplify (- (+ (* (* 1.0 y) (/ 0 (* 1.0 (/ 1 y)))) (* (- (* 0.5 (pow y 2))) (/ 0.5 (* 1.0 (/ 1 y)))))) into (* 0.25 (pow y 3)) 4.460 * [taylor]: Taking taylor expansion of (* 0.25 (pow y 3)) in y 4.460 * [taylor]: Taking taylor expansion of 0.25 in y 4.460 * [backup-simplify]: Simplify 0.25 into 0.25 4.460 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.460 * [taylor]: Taking taylor expansion of y in y 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify 1 into 1 4.460 * [backup-simplify]: Simplify (* 1 1) into 1 4.461 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.461 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.461 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.462 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.463 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.463 * [backup-simplify]: Simplify (+ 0 0) into 0 4.463 * [backup-simplify]: Simplify (- (+ (* (* 1.0 y) (/ 0 (* 1.0 (/ 1 y)))) (* (- (* 0.5 (pow y 2))) (/ 0 (* 1.0 (/ 1 y)))) (* (* 0.25 (pow y 3)) (/ 0.5 (* 1.0 (/ 1 y)))))) into (- (* 0.125 (pow y 4))) 4.463 * [taylor]: Taking taylor expansion of (- (* 0.125 (pow y 4))) in y 4.463 * [taylor]: Taking taylor expansion of (* 0.125 (pow y 4)) in y 4.463 * [taylor]: Taking taylor expansion of 0.125 in y 4.463 * [backup-simplify]: Simplify 0.125 into 0.125 4.463 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.463 * [taylor]: Taking taylor expansion of y in y 4.463 * [backup-simplify]: Simplify 0 into 0 4.463 * [backup-simplify]: Simplify 1 into 1 4.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.464 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.464 * [backup-simplify]: Simplify (- 0) into 0 4.464 * [backup-simplify]: Simplify 0 into 0 4.465 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.465 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.466 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1.0 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.466 * [backup-simplify]: Simplify (+ 0 0) into 0 4.467 * [backup-simplify]: Simplify (- (+ (* (* 1.0 y) (/ 0 (* 1.0 (/ 1 y)))) (* (- (* 0.5 (pow y 2))) (/ 0 (* 1.0 (/ 1 y)))) (* (* 0.25 (pow y 3)) (/ 0 (* 1.0 (/ 1 y)))) (* (- (* 0.125 (pow y 4))) (/ 0.5 (* 1.0 (/ 1 y)))))) into (* 0.0625 (pow y 5)) 4.467 * [taylor]: Taking taylor expansion of (* 0.0625 (pow y 5)) in y 4.467 * [taylor]: Taking taylor expansion of 0.0625 in y 4.467 * [backup-simplify]: Simplify 0.0625 into 0.0625 4.467 * [taylor]: Taking taylor expansion of (pow y 5) in y 4.467 * [taylor]: Taking taylor expansion of y in y 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify 1 into 1 4.467 * [backup-simplify]: Simplify (* 1 1) into 1 4.467 * [backup-simplify]: Simplify (* 1 1) into 1 4.468 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 4.468 * [backup-simplify]: Simplify 0.25 into 0.25 4.468 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow y 3) (pow x 2))) (+ (* (- 0.5) (* (pow y 2) x)) (* 1.0 (* y 1)))) into (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) 4.468 * [backup-simplify]: Simplify (/ 1 (fma 0.5 (/ 1 x) (/ 1.0 (/ 1 y)))) into (/ 1 (fma 0.5 (/ 1 x) (* 1.0 y))) 4.468 * [approximate]: Taking taylor expansion of (/ 1 (fma 0.5 (/ 1 x) (* 1.0 y))) in (x y) around 0 4.469 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 (/ 1 x) (* 1.0 y))) in y 4.469 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 x) (* 1.0 y)) in y 4.469 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 x)) (* 1.0 y)) 4.469 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 4.469 * [taylor]: Taking taylor expansion of 0.5 in y 4.469 * [backup-simplify]: Simplify 0.5 into 0.5 4.469 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.469 * [taylor]: Taking taylor expansion of x in y 4.469 * [backup-simplify]: Simplify x into x 4.469 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.469 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 4.469 * [taylor]: Taking taylor expansion of 1.0 in y 4.469 * [backup-simplify]: Simplify 1.0 into 1.0 4.469 * [taylor]: Taking taylor expansion of y in y 4.469 * [backup-simplify]: Simplify 0 into 0 4.469 * [backup-simplify]: Simplify 1 into 1 4.469 * [backup-simplify]: Simplify (* 0.5 (/ 1 x)) into (/ 0.5 x) 4.469 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.469 * [backup-simplify]: Simplify (+ (/ 0.5 x) 0) into (* 0.5 (/ 1 x)) 4.469 * [backup-simplify]: Simplify (/ 1 (* 0.5 (/ 1 x))) into (* 2.0 x) 4.469 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 (/ 1 x) (* 1.0 y))) in x 4.469 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 x) (* 1.0 y)) in x 4.470 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 x)) (* 1.0 y)) 4.470 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 4.470 * [taylor]: Taking taylor expansion of 0.5 in x 4.470 * [backup-simplify]: Simplify 0.5 into 0.5 4.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.470 * [taylor]: Taking taylor expansion of x in x 4.470 * [backup-simplify]: Simplify 0 into 0 4.470 * [backup-simplify]: Simplify 1 into 1 4.470 * [backup-simplify]: Simplify (/ 1 1) into 1 4.470 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 4.470 * [taylor]: Taking taylor expansion of 1.0 in x 4.470 * [backup-simplify]: Simplify 1.0 into 1.0 4.470 * [taylor]: Taking taylor expansion of y in x 4.470 * [backup-simplify]: Simplify y into y 4.470 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.471 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.471 * [backup-simplify]: Simplify (/ 1 0.5) into 2.0 4.471 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 (/ 1 x) (* 1.0 y))) in x 4.471 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 x) (* 1.0 y)) in x 4.471 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 x)) (* 1.0 y)) 4.471 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 4.471 * [taylor]: Taking taylor expansion of 0.5 in x 4.471 * [backup-simplify]: Simplify 0.5 into 0.5 4.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.471 * [taylor]: Taking taylor expansion of x in x 4.471 * [backup-simplify]: Simplify 0 into 0 4.471 * [backup-simplify]: Simplify 1 into 1 4.472 * [backup-simplify]: Simplify (/ 1 1) into 1 4.472 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 4.472 * [taylor]: Taking taylor expansion of 1.0 in x 4.472 * [backup-simplify]: Simplify 1.0 into 1.0 4.472 * [taylor]: Taking taylor expansion of y in x 4.472 * [backup-simplify]: Simplify y into y 4.472 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.472 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.473 * [backup-simplify]: Simplify (/ 1 0.5) into 2.0 4.473 * [taylor]: Taking taylor expansion of 2.0 in y 4.473 * [backup-simplify]: Simplify 2.0 into 2.0 4.473 * [backup-simplify]: Simplify 2.0 into 2.0 4.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.474 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.474 * [backup-simplify]: Simplify (* 1.0 y) into (* 1.0 y) 4.474 * [backup-simplify]: Simplify (+ 0 (* 1.0 y)) into (* 1.0 y) 4.474 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ (* 1.0 y) 0.5)))) into (- (* 4.0 y)) 4.474 * [taylor]: Taking taylor expansion of (- (* 4.0 y)) in y 4.474 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 4.474 * [taylor]: Taking taylor expansion of 4.0 in y 4.474 * [backup-simplify]: Simplify 4.0 into 4.0 4.474 * [taylor]: Taking taylor expansion of y in y 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [backup-simplify]: Simplify (* 4.0 0) into 0 4.474 * [backup-simplify]: Simplify (- 0) into 0 4.474 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.476 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.476 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 y)) into 0 4.476 * [backup-simplify]: Simplify (+ 0 0) into 0 4.477 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 0 0.5)) (* (- (* 4.0 y)) (/ (* 1.0 y) 0.5)))) into (* 8.0 (pow y 2)) 4.477 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 4.477 * [taylor]: Taking taylor expansion of 8.0 in y 4.477 * [backup-simplify]: Simplify 8.0 into 8.0 4.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.477 * [taylor]: Taking taylor expansion of y in y 4.477 * [backup-simplify]: Simplify 0 into 0 4.477 * [backup-simplify]: Simplify 1 into 1 4.478 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 4.478 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.478 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 4.478 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.479 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.480 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 y))) into 0 4.480 * [backup-simplify]: Simplify (+ 0 0) into 0 4.481 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 0 0.5)) (* (- (* 4.0 y)) (/ 0 0.5)) (* (* 8.0 (pow y 2)) (/ (* 1.0 y) 0.5)))) into (- (* 16.0 (pow y 3))) 4.481 * [taylor]: Taking taylor expansion of (- (* 16.0 (pow y 3))) in y 4.481 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 4.481 * [taylor]: Taking taylor expansion of 16.0 in y 4.481 * [backup-simplify]: Simplify 16.0 into 16.0 4.481 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.481 * [taylor]: Taking taylor expansion of y in y 4.481 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify 1 into 1 4.482 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 1) (* 0 0))) into 0 4.482 * [backup-simplify]: Simplify (- 0) into 0 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.484 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.484 * [backup-simplify]: Simplify (+ 0 0) into 0 4.485 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 0 0.5)) (* (- (* 4.0 y)) (/ 0 0.5)) (* (* 8.0 (pow y 2)) (/ 0 0.5)) (* (- (* 16.0 (pow y 3))) (/ (* 1.0 y) 0.5)))) into (* 32.0 (pow y 4)) 4.485 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 4.485 * [taylor]: Taking taylor expansion of 32.0 in y 4.485 * [backup-simplify]: Simplify 32.0 into 32.0 4.485 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.485 * [taylor]: Taking taylor expansion of y in y 4.485 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify 1 into 1 4.486 * [backup-simplify]: Simplify (* 1 1) into 1 4.486 * [backup-simplify]: Simplify (* 8.0 1) into 8.0 4.486 * [backup-simplify]: Simplify 8.0 into 8.0 4.487 * [backup-simplify]: Simplify (+ (* 8.0 (* (pow (/ 1 y) 2) (pow (/ 1 x) 3))) (+ (* (- 4.0) (* (/ 1 y) (pow (/ 1 x) 2))) (* 2.0 (* 1 (/ 1 x))))) into (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 4.487 * [backup-simplify]: Simplify (/ 1 (fma 0.5 (/ 1 (- x)) (/ 1.0 (/ 1 (- y))))) into (/ 1 (fma 0.5 (/ -1 x) (* -1.0 y))) 4.487 * [approximate]: Taking taylor expansion of (/ 1 (fma 0.5 (/ -1 x) (* -1.0 y))) in (x y) around 0 4.487 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 (/ -1 x) (* -1.0 y))) in y 4.487 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 x) (* -1.0 y)) in y 4.487 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 x)) (* -1.0 y)) 4.487 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 x)) in y 4.487 * [taylor]: Taking taylor expansion of 0.5 in y 4.487 * [backup-simplify]: Simplify 0.5 into 0.5 4.487 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.487 * [taylor]: Taking taylor expansion of -1 in y 4.487 * [backup-simplify]: Simplify -1 into -1 4.487 * [taylor]: Taking taylor expansion of x in y 4.487 * [backup-simplify]: Simplify x into x 4.487 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 4.487 * [taylor]: Taking taylor expansion of (* -1.0 y) in y 4.487 * [taylor]: Taking taylor expansion of -1.0 in y 4.487 * [backup-simplify]: Simplify -1.0 into -1.0 4.487 * [taylor]: Taking taylor expansion of y in y 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify 1 into 1 4.487 * [backup-simplify]: Simplify (* 0.5 (/ -1 x)) into (/ -0.5 x) 4.488 * [backup-simplify]: Simplify (* -1.0 0) into 0 4.488 * [backup-simplify]: Simplify (+ (/ -0.5 x) 0) into (- (* 0.5 (/ 1 x))) 4.488 * [backup-simplify]: Simplify (/ 1 (- (* 0.5 (/ 1 x)))) into (* -2.0 x) 4.488 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 (/ -1 x) (* -1.0 y))) in x 4.488 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 x) (* -1.0 y)) in x 4.488 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 x)) (* -1.0 y)) 4.488 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 x)) in x 4.488 * [taylor]: Taking taylor expansion of 0.5 in x 4.488 * [backup-simplify]: Simplify 0.5 into 0.5 4.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.488 * [taylor]: Taking taylor expansion of -1 in x 4.488 * [backup-simplify]: Simplify -1 into -1 4.488 * [taylor]: Taking taylor expansion of x in x 4.488 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify 1 into 1 4.488 * [backup-simplify]: Simplify (/ -1 1) into -1 4.488 * [taylor]: Taking taylor expansion of (* -1.0 y) in x 4.488 * [taylor]: Taking taylor expansion of -1.0 in x 4.488 * [backup-simplify]: Simplify -1.0 into -1.0 4.488 * [taylor]: Taking taylor expansion of y in x 4.488 * [backup-simplify]: Simplify y into y 4.489 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.489 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 4.489 * [backup-simplify]: Simplify (/ 1 (- 0.5)) into -2.0 4.489 * [taylor]: Taking taylor expansion of (/ 1 (fma 0.5 (/ -1 x) (* -1.0 y))) in x 4.489 * [taylor]: Taking taylor expansion of (fma 0.5 (/ -1 x) (* -1.0 y)) in x 4.490 * [taylor]: Rewrote expression to (+ (* 0.5 (/ -1 x)) (* -1.0 y)) 4.490 * [taylor]: Taking taylor expansion of (* 0.5 (/ -1 x)) in x 4.490 * [taylor]: Taking taylor expansion of 0.5 in x 4.490 * [backup-simplify]: Simplify 0.5 into 0.5 4.490 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.490 * [taylor]: Taking taylor expansion of -1 in x 4.490 * [backup-simplify]: Simplify -1 into -1 4.490 * [taylor]: Taking taylor expansion of x in x 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 1 into 1 4.490 * [backup-simplify]: Simplify (/ -1 1) into -1 4.490 * [taylor]: Taking taylor expansion of (* -1.0 y) in x 4.490 * [taylor]: Taking taylor expansion of -1.0 in x 4.490 * [backup-simplify]: Simplify -1.0 into -1.0 4.490 * [taylor]: Taking taylor expansion of y in x 4.490 * [backup-simplify]: Simplify y into y 4.490 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 4.491 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 4.491 * [backup-simplify]: Simplify (/ 1 (- 0.5)) into -2.0 4.491 * [taylor]: Taking taylor expansion of -2.0 in y 4.491 * [backup-simplify]: Simplify -2.0 into -2.0 4.491 * [backup-simplify]: Simplify -2.0 into -2.0 4.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.492 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 -1)) into 0 4.492 * [backup-simplify]: Simplify (* -1.0 y) into (* -1.0 y) 4.492 * [backup-simplify]: Simplify (+ 0 (* -1.0 y)) into (- (* 1.0 y)) 4.493 * [backup-simplify]: Simplify (- (+ (* -2.0 (/ (- (* 1.0 y)) (- 0.5))))) into (* 4.0 y) 4.493 * [taylor]: Taking taylor expansion of (* 4.0 y) in y 4.493 * [taylor]: Taking taylor expansion of 4.0 in y 4.493 * [backup-simplify]: Simplify 4.0 into 4.0 4.493 * [taylor]: Taking taylor expansion of y in y 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify 1 into 1 4.493 * [backup-simplify]: Simplify (* 4.0 0) into 0 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.494 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 -1))) into 0 4.494 * [backup-simplify]: Simplify (+ (* -1.0 0) (* 0 y)) into 0 4.495 * [backup-simplify]: Simplify (+ 0 0) into 0 4.495 * [backup-simplify]: Simplify (- (+ (* -2.0 (/ 0 (- 0.5))) (* (* 4.0 y) (/ (- (* 1.0 y)) (- 0.5))))) into (- (* 8.0 (pow y 2))) 4.495 * [taylor]: Taking taylor expansion of (- (* 8.0 (pow y 2))) in y 4.495 * [taylor]: Taking taylor expansion of (* 8.0 (pow y 2)) in y 4.495 * [taylor]: Taking taylor expansion of 8.0 in y 4.495 * [backup-simplify]: Simplify 8.0 into 8.0 4.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.495 * [taylor]: Taking taylor expansion of y in y 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify 1 into 1 4.496 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 4.496 * [backup-simplify]: Simplify 4.0 into 4.0 4.496 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.498 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.498 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (* 0 y))) into 0 4.498 * [backup-simplify]: Simplify (+ 0 0) into 0 4.499 * [backup-simplify]: Simplify (- (+ (* -2.0 (/ 0 (- 0.5))) (* (* 4.0 y) (/ 0 (- 0.5))) (* (- (* 8.0 (pow y 2))) (/ (- (* 1.0 y)) (- 0.5))))) into (* 16.0 (pow y 3)) 4.500 * [taylor]: Taking taylor expansion of (* 16.0 (pow y 3)) in y 4.500 * [taylor]: Taking taylor expansion of 16.0 in y 4.500 * [backup-simplify]: Simplify 16.0 into 16.0 4.500 * [taylor]: Taking taylor expansion of (pow y 3) in y 4.500 * [taylor]: Taking taylor expansion of y in y 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 1 into 1 4.500 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 1) (* 0 0))) into 0 4.500 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.501 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.502 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.502 * [backup-simplify]: Simplify (+ 0 0) into 0 4.504 * [backup-simplify]: Simplify (- (+ (* -2.0 (/ 0 (- 0.5))) (* (* 4.0 y) (/ 0 (- 0.5))) (* (- (* 8.0 (pow y 2))) (/ 0 (- 0.5))) (* (* 16.0 (pow y 3)) (/ (- (* 1.0 y)) (- 0.5))))) into (- (* 32.0 (pow y 4))) 4.504 * [taylor]: Taking taylor expansion of (- (* 32.0 (pow y 4))) in y 4.504 * [taylor]: Taking taylor expansion of (* 32.0 (pow y 4)) in y 4.504 * [taylor]: Taking taylor expansion of 32.0 in y 4.504 * [backup-simplify]: Simplify 32.0 into 32.0 4.504 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.504 * [taylor]: Taking taylor expansion of y in y 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify 1 into 1 4.504 * [backup-simplify]: Simplify (* 1 1) into 1 4.505 * [backup-simplify]: Simplify (* 8.0 1) into 8.0 4.505 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 4.505 * [backup-simplify]: Simplify (- 8.0) into (- 8.0) 4.506 * [backup-simplify]: Simplify (+ (* (- 8.0) (* (pow (/ 1 (- y)) 2) (pow (/ 1 (- x)) 3))) (+ (* 4.0 (* (/ 1 (- y)) (pow (/ 1 (- x)) 2))) (* -2.0 (* 1 (/ 1 (- x)))))) into (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 4.506 * * * [progress]: simplifying candidates 4.506 * [simplify]: Simplifying: (expm1 (/ 1 (fma 0.5 x (/ 1.0 y)))) (log1p (/ 1 (fma 0.5 x (/ 1.0 y)))) (- 1) (- (log (fma 0.5 x (/ 1.0 y)))) (- 0 (log (fma 0.5 x (/ 1.0 y)))) (- (log 1) (log (fma 0.5 x (/ 1.0 y)))) (log (/ 1 (fma 0.5 x (/ 1.0 y)))) (exp (/ 1 (fma 0.5 x (/ 1.0 y)))) (/ (* (* 1 1) 1) (* (* (fma 0.5 x (/ 1.0 y)) (fma 0.5 x (/ 1.0 y))) (fma 0.5 x (/ 1.0 y)))) (* (cbrt (/ 1 (fma 0.5 x (/ 1.0 y)))) (cbrt (/ 1 (fma 0.5 x (/ 1.0 y))))) (cbrt (/ 1 (fma 0.5 x (/ 1.0 y)))) (* (* (/ 1 (fma 0.5 x (/ 1.0 y))) (/ 1 (fma 0.5 x (/ 1.0 y)))) (/ 1 (fma 0.5 x (/ 1.0 y)))) (sqrt (/ 1 (fma 0.5 x (/ 1.0 y)))) (sqrt (/ 1 (fma 0.5 x (/ 1.0 y)))) (- 1) (- (fma 0.5 x (/ 1.0 y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (fma 0.5 x (/ 1.0 y))) (cbrt (fma 0.5 x (/ 1.0 y))))) (/ (cbrt 1) (cbrt (fma 0.5 x (/ 1.0 y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (fma 0.5 x (/ 1.0 y)))) (/ (cbrt 1) (sqrt (fma 0.5 x (/ 1.0 y)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (fma 0.5 x (/ 1.0 y))) (/ (sqrt 1) (* (cbrt (fma 0.5 x (/ 1.0 y))) (cbrt (fma 0.5 x (/ 1.0 y))))) (/ (sqrt 1) (cbrt (fma 0.5 x (/ 1.0 y)))) (/ (sqrt 1) (sqrt (fma 0.5 x (/ 1.0 y)))) (/ (sqrt 1) (sqrt (fma 0.5 x (/ 1.0 y)))) (/ (sqrt 1) 1) (/ (sqrt 1) (fma 0.5 x (/ 1.0 y))) (/ 1 (* (cbrt (fma 0.5 x (/ 1.0 y))) (cbrt (fma 0.5 x (/ 1.0 y))))) (/ 1 (cbrt (fma 0.5 x (/ 1.0 y)))) (/ 1 (sqrt (fma 0.5 x (/ 1.0 y)))) (/ 1 (sqrt (fma 0.5 x (/ 1.0 y)))) (/ 1 1) (/ 1 (fma 0.5 x (/ 1.0 y))) (/ 1 (fma 0.5 x (/ 1.0 y))) (/ (fma 0.5 x (/ 1.0 y)) 1) (/ 1 (* (cbrt (fma 0.5 x (/ 1.0 y))) (cbrt (fma 0.5 x (/ 1.0 y))))) (/ 1 (sqrt (fma 0.5 x (/ 1.0 y)))) (/ 1 1) (/ (fma 0.5 x (/ 1.0 y)) (cbrt 1)) (/ (fma 0.5 x (/ 1.0 y)) (sqrt 1)) (/ (fma 0.5 x (/ 1.0 y)) 1) (- (+ (* 1.0 y) (* 0.25 (* (pow x 2) (pow y 3)))) (* 0.5 (* x (pow y 2)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) (- (+ (* 8.0 (/ 1 (* (pow x 3) (pow y 2)))) (* 2.0 (/ 1 x))) (* 4.0 (/ 1 (* (pow x 2) y)))) 4.507 * * [simplify]: Extracting # 0 : cost 0 4.507 * * [simplify]: Extracting # 1 : cost 0 4.507 * * [simplify]: Extracting # 2 : cost 0 4.508 * * [simplify]: Extracting # 3 : cost 0 4.508 * * [simplify]: Extracting # 4 : cost 0 4.508 * * [simplify]: Extracting # 5 : cost 0 4.508 * * [simplify]: Extracting # 6 : cost 0 4.508 * * [simplify]: Extracting # 7 : cost 0 4.508 * * [simplify]: Extracting # 8 : cost 0 4.508 * * [simplify]: Extracting # 9 : cost 0 4.508 * * [simplify]: Extracting # 10 : cost 0 4.508 * * [simplify]: iteration 0 : 81 enodes (cost 504 ) 4.535 * * [simplify]: Extracting # 0 : cost 0 4.536 * * [simplify]: Extracting # 1 : cost 0 4.536 * * [simplify]: Extracting # 2 : cost 0 4.536 * * [simplify]: Extracting # 3 : cost 0 4.536 * * [simplify]: Extracting # 4 : cost 0 4.536 * * [simplify]: iteration 1 : 163 enodes (cost 452 ) 4.590 * * [simplify]: Extracting # 0 : cost 0 4.591 * * [simplify]: Extracting # 1 : cost 0 4.591 * * [simplify]: Extracting # 2 : cost 0 4.591 * * [simplify]: Extracting # 3 : cost 0 4.592 * * [simplify]: iteration 2 : 381 enodes (cost 414 ) 4.750 * * [simplify]: Extracting # 0 : cost 0 4.751 * * [simplify]: Extracting # 1 : cost 0 4.752 * * [simplify]: Extracting # 2 : cost 0 4.753 * * [simplify]: Extracting # 3 : cost 0 4.754 * * [simplify]: Extracting # 4 : cost 0 4.755 * * [simplify]: iteration 3 : 1018 enodes (cost 412 ) 5.537 * * [simplify]: Extracting # 0 : cost 0 5.540 * * [simplify]: Extracting # 1 : cost 0 5.542 * * [simplify]: Extracting # 2 : cost 0 5.545 * * [simplify]: Extracting # 3 : cost 0 5.547 * * [simplify]: Extracting # 4 : cost 0 5.549 * * [simplify]: iteration 4 : 2972 enodes (cost 412 ) 7.192 * * [simplify]: Extracting # 0 : cost 0 7.198 * * [simplify]: Extracting # 1 : cost 0 7.203 * * [simplify]: Extracting # 2 : cost 0 7.210 * * [simplify]: Extracting # 3 : cost 0 7.227 * * [simplify]: Extracting # 4 : cost 0 7.236 * * [simplify]: iteration done: 5002 enodes (cost 411 ) 7.237 * [simplify]: Simplified to: (expm1 (/ 1 (fma 0.5 x (/ 1.0 y)))) (log1p (/ 1 (fma 0.5 x (/ 1.0 y)))) -1 (- (log (fma 0.5 x (/ 1.0 y)))) (- (log (fma 0.5 x (/ 1.0 y)))) (- (log (fma 0.5 x (/ 1.0 y)))) (- (log (fma 0.5 x (/ 1.0 y)))) (exp (/ 1 (fma 0.5 x (/ 1.0 y)))) (/ 1 (pow (fma 0.5 x (/ 1.0 y)) 3)) (* (cbrt (/ 1 (fma 0.5 x (/ 1.0 y)))) (cbrt (/ 1 (fma 0.5 x (/ 1.0 y))))) (cbrt (/ 1 (fma 0.5 x (/ 1.0 y)))) (/ 1 (pow (fma 0.5 x (/ 1.0 y)) 3)) (sqrt (/ 1 (fma 0.5 x (/ 1.0 y)))) (sqrt (/ 1 (fma 0.5 x (/ 1.0 y)))) -1 (- (fma 0.5 x (/ 1.0 y))) (/ (/ 1 (cbrt (fma 0.5 x (/ 1.0 y)))) (cbrt (fma 0.5 x (/ 1.0 y)))) (/ 1 (cbrt (fma 0.5 x (/ 1.0 y)))) (/ 1 (sqrt (fma 0.5 x (/ 1.0 y)))) (/ 1 (sqrt (fma 0.5 x (/ 1.0 y)))) 1 (/ 1 (fma 0.5 x (/ 1.0 y))) (/ (/ 1 (cbrt (fma 0.5 x (/ 1.0 y)))) (cbrt (fma 0.5 x (/ 1.0 y)))) (/ 1 (cbrt (fma 0.5 x (/ 1.0 y)))) (/ 1 (sqrt (fma 0.5 x (/ 1.0 y)))) (/ 1 (sqrt (fma 0.5 x (/ 1.0 y)))) 1 (/ 1 (fma 0.5 x (/ 1.0 y))) (/ (/ 1 (cbrt (fma 0.5 x (/ 1.0 y)))) (cbrt (fma 0.5 x (/ 1.0 y)))) (/ 1 (cbrt (fma 0.5 x (/ 1.0 y)))) (/ 1 (sqrt (fma 0.5 x (/ 1.0 y)))) (/ 1 (sqrt (fma 0.5 x (/ 1.0 y)))) 1 (/ 1 (fma 0.5 x (/ 1.0 y))) (/ 1 (fma 0.5 x (/ 1.0 y))) (fma 0.5 x (/ 1.0 y)) (/ (/ 1 (cbrt (fma 0.5 x (/ 1.0 y)))) (cbrt (fma 0.5 x (/ 1.0 y)))) (/ 1 (sqrt (fma 0.5 x (/ 1.0 y)))) 1 (fma 0.5 x (/ 1.0 y)) (fma 0.5 x (/ 1.0 y)) (fma 0.5 x (/ 1.0 y)) (* y (+ (* y (- (* (* 0.25 (pow x 2)) y) (* 0.5 x))) 1.0)) (+ (/ 8.0 (* (pow x 3) (pow y 2))) (- (/ 2.0 x) (/ 4.0 (* (pow x 2) y)))) (+ (/ 8.0 (* (pow x 3) (pow y 2))) (- (/ 2.0 x) (/ 4.0 (* (pow x 2) y)))) 7.237 * * * [progress]: adding candidates to table 7.343 * [progress]: [Phase 3 of 3] Extracting. 7.343 * * [regime]: Finding splitpoints for: (# #) 7.343 * * * [regime-changes]: Trying 3 branch expressions: ((- x (/ y (+ 1.0 (/ (* x y) 2.0)))) y x) 7.343 * * * * [regimes]: Trying to branch on (- x (/ y (+ 1.0 (/ (* x y) 2.0)))) from (# #) 7.356 * * * * [regimes]: Trying to branch on y from (# #) 7.367 * * * * [regimes]: Trying to branch on x from (# #) 7.393 * * * [regime]: Found split indices: #