40.245 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.039 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.039 * * [simplify]: iteration 0: 5 enodes 0.044 * * [simplify]: iteration 1: 7 enodes 0.047 * * [simplify]: iteration complete: 7 enodes 0.047 * * [simplify]: Extracting #0: cost 1 inf + 0 0.047 * * [simplify]: Extracting #1: cost 2 inf + 0 0.047 * * [simplify]: Extracting #2: cost 5 inf + 0 0.047 * * [simplify]: Extracting #3: cost 3 inf + 2 0.047 * * [simplify]: Extracting #4: cost 0 inf + 197 0.047 * [simplify]: Simplified to: (sqrt (fma x x y)) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.075 * * * [progress]: generating rewritten candidates 0.075 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.081 * [backup-simplify]: Simplify (sqrt (fma x x y)) into (sqrt (fma x x y)) 0.081 * [approximate]: Taking taylor expansion of (sqrt (fma x x y)) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in y 0.082 * [taylor]: Taking taylor expansion of (fma x x y) in y 0.082 * [taylor]: Rewrote expression to (+ (* x x) y) 0.082 * [taylor]: Taking taylor expansion of (* x x) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [backup-simplify]: Simplify x into x 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [backup-simplify]: Simplify x into x 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.083 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.083 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.083 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.084 * [backup-simplify]: Simplify (+ 0 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.085 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.085 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.085 * [taylor]: Rewrote expression to (+ (* x x) y) 0.085 * [taylor]: Taking taylor expansion of (* x x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (* 0 0) into 0 0.086 * [backup-simplify]: Simplify (+ 0 y) into y 0.086 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.087 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.087 * [taylor]: Taking taylor expansion of (sqrt (fma x x y)) in x 0.087 * [taylor]: Taking taylor expansion of (fma x x y) in x 0.087 * [taylor]: Rewrote expression to (+ (* x x) y) 0.087 * [taylor]: Taking taylor expansion of (* x x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [backup-simplify]: Simplify y into y 0.088 * [backup-simplify]: Simplify (* 0 0) into 0 0.088 * [backup-simplify]: Simplify (+ 0 y) into y 0.088 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.089 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.090 * [taylor]: Taking taylor expansion of (sqrt y) 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 0.090 * [backup-simplify]: Simplify (sqrt 0) into 0 0.099 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.101 * [backup-simplify]: Simplify (+ 1 0) into 1 0.102 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.102 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.102 * [taylor]: Taking taylor expansion of 1/2 in y 0.102 * [backup-simplify]: Simplify 1/2 into 1/2 0.102 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [backup-simplify]: Simplify (sqrt 0) into 0 0.104 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.105 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.105 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.105 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.107 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.109 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 0.109 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) into (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) 0.109 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in y 0.109 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in y 0.109 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.109 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [backup-simplify]: Simplify x into x 0.109 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [backup-simplify]: Simplify x into x 0.109 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [backup-simplify]: Simplify (+ 0 1) into 1 0.110 * [backup-simplify]: Simplify (sqrt 0) into 0 0.111 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.111 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.111 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.111 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.111 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (+ 1 0) into 1 0.113 * [backup-simplify]: Simplify (sqrt 1) into 1 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.115 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 y))) in x 0.115 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 y)) in x 0.115 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) 0.115 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [backup-simplify]: Simplify y into y 0.116 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [backup-simplify]: Simplify (sqrt 1) into 1 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.119 * [taylor]: Taking taylor expansion of 1 in y 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.122 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.122 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.122 * [taylor]: Taking taylor expansion of 1/2 in y 0.122 * [backup-simplify]: Simplify 1/2 into 1/2 0.122 * [taylor]: Taking taylor expansion of y in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.122 * [backup-simplify]: Simplify 1/2 into 1/2 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.130 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of -1/8 in y 0.130 * [backup-simplify]: Simplify -1/8 into -1/8 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.132 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (/ 1 (- y)))) into (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) 0.132 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in y 0.132 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in y 0.132 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.132 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.132 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.132 * [taylor]: Taking taylor expansion of -1 in y 0.132 * [backup-simplify]: Simplify -1 into -1 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [backup-simplify]: Simplify x into x 0.133 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.133 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.133 * [taylor]: Taking taylor expansion of -1 in y 0.133 * [backup-simplify]: Simplify -1 into -1 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [backup-simplify]: Simplify x into x 0.133 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 0.133 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.133 * [taylor]: Taking taylor expansion of -1 in y 0.133 * [backup-simplify]: Simplify -1 into -1 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ -1 1) into -1 0.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.134 * [backup-simplify]: Simplify (sqrt 0) into 0 0.135 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.135 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.135 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.135 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.135 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.135 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.136 * [taylor]: Taking taylor expansion of -1 in x 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ -1 1) into -1 0.136 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.136 * [taylor]: Taking taylor expansion of -1 in x 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ -1 1) into -1 0.137 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.137 * [taylor]: Taking taylor expansion of -1 in x 0.137 * [backup-simplify]: Simplify -1 into -1 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [backup-simplify]: Simplify y into y 0.137 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.137 * [backup-simplify]: Simplify (* -1 -1) into 1 0.138 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (sqrt 1) into 1 0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.142 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ -1 y))) in x 0.142 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ -1 y)) in x 0.143 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ -1 y)) 0.143 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ -1 1) into -1 0.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ -1 1) into -1 0.144 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.144 * [taylor]: Taking taylor expansion of -1 in x 0.144 * [backup-simplify]: Simplify -1 into -1 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 0.145 * [backup-simplify]: Simplify (* -1 -1) into 1 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify (sqrt 1) into 1 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.149 * [taylor]: Taking taylor expansion of 1 in y 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 (/ -1 y)) into (- (/ 1 y)) 0.155 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.155 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.155 * [taylor]: Taking taylor expansion of -1/2 in y 0.155 * [backup-simplify]: Simplify -1/2 into -1/2 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.155 * [backup-simplify]: Simplify -1/2 into -1/2 0.155 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.160 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.167 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.170 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.170 * [taylor]: Taking taylor expansion of -1/8 in y 0.170 * [backup-simplify]: Simplify -1/8 into -1/8 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.173 * * * [progress]: simplifying candidates 0.174 * * * * [progress]: [ 1 / 19 ] simplifiying candidate #real (real->posit16 (sqrt (fma x x y)))))> 0.174 * * * * [progress]: [ 2 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 3 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 4 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 5 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 6 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 7 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 8 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 9 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 10 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 11 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 12 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 13 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 14 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 15 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 16 / 19 ] simplifiying candidate # 0.174 * * * * [progress]: [ 17 / 19 ] simplifiying candidate # 0.175 * * * * [progress]: [ 18 / 19 ] simplifiying candidate # 0.175 * * * * [progress]: [ 19 / 19 ] simplifiying candidate # 0.175 * [simplify]: Simplifying: (real->posit16 (sqrt (fma x x y))) (expm1 (sqrt (fma x x y))) (log1p (sqrt (fma x x y))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (* (* (sqrt (fma x x y)) (sqrt (fma x x y))) (sqrt (fma x x y))) (sqrt (* (cbrt (fma x x y)) (cbrt (fma x x y)))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt 1) (sqrt (fma x x y)) (/ 1 2) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) 0.176 * * [simplify]: iteration 0: 38 enodes 0.205 * * [simplify]: iteration 1: 77 enodes 0.258 * * [simplify]: iteration 2: 175 enodes 0.424 * * [simplify]: iteration 3: 437 enodes 0.989 * * [simplify]: iteration 4: 1106 enodes 2.732 * * [simplify]: iteration 5: 2990 enodes 6.212 * * [simplify]: iteration complete: 5002 enodes 6.212 * * [simplify]: Extracting #0: cost 17 inf + 0 6.213 * * [simplify]: Extracting #1: cost 173 inf + 2 6.225 * * [simplify]: Extracting #2: cost 490 inf + 1424 6.243 * * [simplify]: Extracting #3: cost 327 inf + 29070 6.263 * * [simplify]: Extracting #4: cost 31 inf + 57085 6.299 * * [simplify]: Extracting #5: cost 9 inf + 60311 6.344 * * [simplify]: Extracting #6: cost 3 inf + 60829 6.387 * * [simplify]: Extracting #7: cost 0 inf + 61876 6.420 * [simplify]: Simplified to: (real->posit16 (sqrt (fma x x y))) (expm1 (sqrt (fma x x y))) (log1p (sqrt (fma x x y))) (log (sqrt (fma x x y))) (exp (sqrt (fma x x y))) (* (cbrt (sqrt (fma x x y))) (cbrt (sqrt (fma x x y)))) (cbrt (sqrt (fma x x y))) (* (fma x x y) (sqrt (fma x x y))) (fabs (cbrt (fma x x y))) (sqrt (cbrt (fma x x y))) (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) 1 (sqrt (fma x x y)) 1/2 (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (* (fma x x (fma (- y) y (- y))) +nan.0) (fma (/ 1/2 x) y x) (- (* -1/2 (/ y x)) x) 6.421 * * * [progress]: adding candidates to table 6.620 * * [progress]: iteration 2 / 4 6.620 * * * [progress]: picking best candidate 6.636 * * * * [pick]: Picked # 6.636 * * * [progress]: localizing error 6.646 * * * [progress]: generating rewritten candidates 6.646 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 6.649 * * * [progress]: generating series expansions 6.649 * * * * [progress]: [ 1 / 1 ] generating series at (2) 6.649 * [backup-simplify]: Simplify (fma (/ 1/2 x) y x) into (fma (/ 1/2 x) y x) 6.649 * [approximate]: Taking taylor expansion of (fma (/ 1/2 x) y x) in (x y) around 0 6.649 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in y 6.650 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x) 6.650 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in y 6.650 * [taylor]: Taking taylor expansion of (/ 1/2 x) in y 6.650 * [taylor]: Taking taylor expansion of 1/2 in y 6.650 * [backup-simplify]: Simplify 1/2 into 1/2 6.650 * [taylor]: Taking taylor expansion of x in y 6.650 * [backup-simplify]: Simplify x into x 6.650 * [backup-simplify]: Simplify (/ 1/2 x) into (/ 1/2 x) 6.650 * [taylor]: Taking taylor expansion of y in y 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify 1 into 1 6.650 * [taylor]: Taking taylor expansion of x in y 6.650 * [backup-simplify]: Simplify x into x 6.650 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in x 6.650 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x) 6.650 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in x 6.651 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.651 * [taylor]: Taking taylor expansion of 1/2 in x 6.651 * [backup-simplify]: Simplify 1/2 into 1/2 6.651 * [taylor]: Taking taylor expansion of x in x 6.651 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify 1 into 1 6.651 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.652 * [taylor]: Taking taylor expansion of y in x 6.652 * [backup-simplify]: Simplify y into y 6.652 * [taylor]: Taking taylor expansion of x in x 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 1 into 1 6.652 * [taylor]: Taking taylor expansion of (fma (/ 1/2 x) y x) in x 6.652 * [taylor]: Rewrote expression to (+ (* (/ 1/2 x) y) x) 6.652 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) y) in x 6.652 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 6.652 * [taylor]: Taking taylor expansion of 1/2 in x 6.652 * [backup-simplify]: Simplify 1/2 into 1/2 6.652 * [taylor]: Taking taylor expansion of x in x 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 1 into 1 6.653 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.653 * [taylor]: Taking taylor expansion of y in x 6.653 * [backup-simplify]: Simplify y into y 6.653 * [taylor]: Taking taylor expansion of x in x 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify 1 into 1 6.653 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 6.653 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 6.653 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 6.653 * [taylor]: Taking taylor expansion of 1/2 in y 6.653 * [backup-simplify]: Simplify 1/2 into 1/2 6.653 * [taylor]: Taking taylor expansion of y in y 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify 1 into 1 6.654 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.654 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 6.656 * [backup-simplify]: Simplify (+ 0 0) into 0 6.656 * [taylor]: Taking taylor expansion of 0 in y 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.657 * [backup-simplify]: Simplify 1/2 into 1/2 6.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 6.660 * [backup-simplify]: Simplify (+ 0 1) into 1 6.660 * [taylor]: Taking taylor expansion of 1 in y 6.660 * [backup-simplify]: Simplify 1 into 1 6.660 * [backup-simplify]: Simplify 1 into 1 6.660 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.661 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.664 * [backup-simplify]: Simplify (+ 0 0) into 0 6.664 * [taylor]: Taking taylor expansion of 0 in y 6.664 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.666 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify (+ (* 1 (* 1 x)) (* 1/2 (* y (/ 1 x)))) into (+ x (* 1/2 (/ y x))) 6.667 * [backup-simplify]: Simplify (fma (/ 1/2 (/ 1 x)) (/ 1 y) (/ 1 x)) into (fma (* 1/2 x) (/ 1 y) (/ 1 x)) 6.667 * [approximate]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in (x y) around 0 6.667 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in y 6.668 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x)) 6.668 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in y 6.671 * [taylor]: Taking taylor expansion of (* 1/2 x) in y 6.671 * [taylor]: Taking taylor expansion of 1/2 in y 6.671 * [backup-simplify]: Simplify 1/2 into 1/2 6.671 * [taylor]: Taking taylor expansion of x in y 6.671 * [backup-simplify]: Simplify x into x 6.671 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.671 * [taylor]: Taking taylor expansion of y in y 6.671 * [backup-simplify]: Simplify 0 into 0 6.671 * [backup-simplify]: Simplify 1 into 1 6.672 * [backup-simplify]: Simplify (/ 1 1) into 1 6.672 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.672 * [taylor]: Taking taylor expansion of x in y 6.672 * [backup-simplify]: Simplify x into x 6.672 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.672 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in x 6.673 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x)) 6.673 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in x 6.673 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.673 * [taylor]: Taking taylor expansion of 1/2 in x 6.673 * [backup-simplify]: Simplify 1/2 into 1/2 6.673 * [taylor]: Taking taylor expansion of x in x 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 1 into 1 6.673 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.673 * [taylor]: Taking taylor expansion of y in x 6.673 * [backup-simplify]: Simplify y into y 6.673 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.673 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.673 * [taylor]: Taking taylor expansion of x in x 6.673 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify 1 into 1 6.674 * [backup-simplify]: Simplify (/ 1 1) into 1 6.674 * [taylor]: Taking taylor expansion of (fma (* 1/2 x) (/ 1 y) (/ 1 x)) in x 6.674 * [taylor]: Rewrote expression to (+ (* (* 1/2 x) (/ 1 y)) (/ 1 x)) 6.674 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (/ 1 y)) in x 6.674 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 6.674 * [taylor]: Taking taylor expansion of 1/2 in x 6.674 * [backup-simplify]: Simplify 1/2 into 1/2 6.674 * [taylor]: Taking taylor expansion of x in x 6.674 * [backup-simplify]: Simplify 0 into 0 6.674 * [backup-simplify]: Simplify 1 into 1 6.674 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.674 * [taylor]: Taking taylor expansion of y in x 6.674 * [backup-simplify]: Simplify y into y 6.674 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.674 * [taylor]: Taking taylor expansion of x in x 6.674 * [backup-simplify]: Simplify 0 into 0 6.675 * [backup-simplify]: Simplify 1 into 1 6.675 * [backup-simplify]: Simplify (/ 1 1) into 1 6.675 * [backup-simplify]: Simplify (+ 0 1) into 1 6.676 * [taylor]: Taking taylor expansion of 1 in y 6.676 * [backup-simplify]: Simplify 1 into 1 6.676 * [backup-simplify]: Simplify (* 1/2 0) into 0 6.676 * [backup-simplify]: Simplify (* 0 (/ 1 y)) into 0 6.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.678 * [backup-simplify]: Simplify (+ 0 0) into 0 6.678 * [taylor]: Taking taylor expansion of 0 in y 6.678 * [backup-simplify]: Simplify 0 into 0 6.678 * [backup-simplify]: Simplify 1 into 1 6.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.679 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 6.680 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 (/ 1 y))) into (* 1/2 (/ 1 y)) 6.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.681 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) 0) into (* 1/2 (/ 1 y)) 6.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 6.681 * [taylor]: Taking taylor expansion of 1/2 in y 6.681 * [backup-simplify]: Simplify 1/2 into 1/2 6.681 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.681 * [taylor]: Taking taylor expansion of y in y 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 1 into 1 6.682 * [backup-simplify]: Simplify (/ 1 1) into 1 6.682 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.682 * [backup-simplify]: Simplify 1/2 into 1/2 6.682 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 (/ 1 y)))) into 0 6.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.687 * [backup-simplify]: Simplify (+ 0 0) into 0 6.687 * [taylor]: Taking taylor expansion of 0 in y 6.687 * [backup-simplify]: Simplify 0 into 0 6.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.688 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify 0 into 0 6.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 6.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.694 * [backup-simplify]: Simplify (+ 0 0) into 0 6.694 * [taylor]: Taking taylor expansion of 0 in y 6.694 * [backup-simplify]: Simplify 0 into 0 6.694 * [backup-simplify]: Simplify 0 into 0 6.695 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 6.695 * [backup-simplify]: Simplify (fma (/ 1/2 (/ 1 (- x))) (/ 1 (- y)) (/ 1 (- x))) into (fma (* -1/2 x) (/ -1 y) (/ -1 x)) 6.696 * [approximate]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in (x y) around 0 6.696 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in y 6.696 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x)) 6.696 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in y 6.696 * [taylor]: Taking taylor expansion of (* -1/2 x) in y 6.696 * [taylor]: Taking taylor expansion of -1/2 in y 6.696 * [backup-simplify]: Simplify -1/2 into -1/2 6.696 * [taylor]: Taking taylor expansion of x in y 6.696 * [backup-simplify]: Simplify x into x 6.696 * [taylor]: Taking taylor expansion of (/ -1 y) in y 6.696 * [taylor]: Taking taylor expansion of -1 in y 6.696 * [backup-simplify]: Simplify -1 into -1 6.696 * [taylor]: Taking taylor expansion of y in y 6.696 * [backup-simplify]: Simplify 0 into 0 6.696 * [backup-simplify]: Simplify 1 into 1 6.697 * [backup-simplify]: Simplify (/ -1 1) into -1 6.697 * [taylor]: Taking taylor expansion of (/ -1 x) in y 6.697 * [taylor]: Taking taylor expansion of -1 in y 6.697 * [backup-simplify]: Simplify -1 into -1 6.697 * [taylor]: Taking taylor expansion of x in y 6.697 * [backup-simplify]: Simplify x into x 6.697 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.697 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in x 6.697 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x)) 6.697 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in x 6.697 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 6.697 * [taylor]: Taking taylor expansion of -1/2 in x 6.697 * [backup-simplify]: Simplify -1/2 into -1/2 6.697 * [taylor]: Taking taylor expansion of x in x 6.697 * [backup-simplify]: Simplify 0 into 0 6.697 * [backup-simplify]: Simplify 1 into 1 6.698 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.698 * [taylor]: Taking taylor expansion of -1 in x 6.698 * [backup-simplify]: Simplify -1 into -1 6.698 * [taylor]: Taking taylor expansion of y in x 6.698 * [backup-simplify]: Simplify y into y 6.698 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 6.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.698 * [taylor]: Taking taylor expansion of -1 in x 6.698 * [backup-simplify]: Simplify -1 into -1 6.698 * [taylor]: Taking taylor expansion of x in x 6.698 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify 1 into 1 6.698 * [backup-simplify]: Simplify (/ -1 1) into -1 6.698 * [taylor]: Taking taylor expansion of (fma (* -1/2 x) (/ -1 y) (/ -1 x)) in x 6.698 * [taylor]: Rewrote expression to (+ (* (* -1/2 x) (/ -1 y)) (/ -1 x)) 6.698 * [taylor]: Taking taylor expansion of (* (* -1/2 x) (/ -1 y)) in x 6.698 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 6.698 * [taylor]: Taking taylor expansion of -1/2 in x 6.698 * [backup-simplify]: Simplify -1/2 into -1/2 6.698 * [taylor]: Taking taylor expansion of x in x 6.698 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify 1 into 1 6.698 * [taylor]: Taking taylor expansion of (/ -1 y) in x 6.698 * [taylor]: Taking taylor expansion of -1 in x 6.699 * [backup-simplify]: Simplify -1 into -1 6.699 * [taylor]: Taking taylor expansion of y in x 6.699 * [backup-simplify]: Simplify y into y 6.699 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 6.699 * [taylor]: Taking taylor expansion of (/ -1 x) in x 6.699 * [taylor]: Taking taylor expansion of -1 in x 6.699 * [backup-simplify]: Simplify -1 into -1 6.699 * [taylor]: Taking taylor expansion of x in x 6.699 * [backup-simplify]: Simplify 0 into 0 6.699 * [backup-simplify]: Simplify 1 into 1 6.699 * [backup-simplify]: Simplify (/ -1 1) into -1 6.699 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.699 * [taylor]: Taking taylor expansion of -1 in y 6.699 * [backup-simplify]: Simplify -1 into -1 6.700 * [backup-simplify]: Simplify (* -1/2 0) into 0 6.700 * [backup-simplify]: Simplify (* 0 (/ -1 y)) into 0 6.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.701 * [backup-simplify]: Simplify (+ 0 0) into 0 6.701 * [taylor]: Taking taylor expansion of 0 in y 6.701 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify -1 into -1 6.701 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0 6.701 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 6.702 * [backup-simplify]: Simplify (+ (* 0 0) (* -1/2 (/ -1 y))) into (* 1/2 (/ 1 y)) 6.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.702 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) 0) into (* 1/2 (/ 1 y)) 6.702 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 6.702 * [taylor]: Taking taylor expansion of 1/2 in y 6.702 * [backup-simplify]: Simplify 1/2 into 1/2 6.703 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.703 * [taylor]: Taking taylor expansion of y in y 6.703 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify 1 into 1 6.703 * [backup-simplify]: Simplify (/ 1 1) into 1 6.703 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 6.703 * [backup-simplify]: Simplify 1/2 into 1/2 6.703 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.704 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 6.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (/ -1 y)))) into 0 6.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.706 * [backup-simplify]: Simplify (+ 0 0) into 0 6.706 * [taylor]: Taking taylor expansion of 0 in y 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify 0 into 0 6.707 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.708 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 y))))) into 0 6.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.710 * [backup-simplify]: Simplify (+ 0 0) into 0 6.710 * [taylor]: Taking taylor expansion of 0 in y 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* -1 (* 1 (/ 1 (/ 1 (- x)))))) into (+ x (* 1/2 (/ y x))) 6.710 * * * [progress]: simplifying candidates 6.710 * * * * [progress]: [ 1 / 14 ] simplifiying candidate #real (real->posit16 (fma (/ 1/2 x) y x))))> 6.710 * * * * [progress]: [ 2 / 14 ] simplifiying candidate # 6.711 * * * * [progress]: [ 3 / 14 ] simplifiying candidate # 6.711 * * * * [progress]: [ 4 / 14 ] simplifiying candidate # 6.711 * * * * [progress]: [ 5 / 14 ] simplifiying candidate # 6.711 * * * * [progress]: [ 6 / 14 ] simplifiying candidate # 6.711 * * * * [progress]: [ 7 / 14 ] simplifiying candidate # 6.711 * * * * [progress]: [ 8 / 14 ] simplifiying candidate # 6.711 * * * * [progress]: [ 9 / 14 ] simplifiying candidate # 6.711 * * * * [progress]: [ 10 / 14 ] simplifiying candidate # 6.711 * * * * [progress]: [ 11 / 14 ] simplifiying candidate # 6.711 * * * * [progress]: [ 12 / 14 ] simplifiying candidate # 6.711 * * * * [progress]: [ 13 / 14 ] simplifiying candidate # 6.711 * * * * [progress]: [ 14 / 14 ] simplifiying candidate # 6.711 * [simplify]: Simplifying: (real->posit16 (fma (/ 1/2 x) y x)) (expm1 (fma (/ 1/2 x) y x)) (log1p (fma (/ 1/2 x) y x)) (* (/ 1/2 x) y) (log (fma (/ 1/2 x) y x)) (exp (fma (/ 1/2 x) y x)) (* (cbrt (fma (/ 1/2 x) y x)) (cbrt (fma (/ 1/2 x) y x))) (cbrt (fma (/ 1/2 x) y x)) (* (* (fma (/ 1/2 x) y x) (fma (/ 1/2 x) y x)) (fma (/ 1/2 x) y x)) (sqrt (fma (/ 1/2 x) y x)) (sqrt (fma (/ 1/2 x) y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 6.711 * * [simplify]: iteration 0: 19 enodes 6.722 * * [simplify]: iteration 1: 25 enodes 6.736 * * [simplify]: iteration 2: 49 enodes 6.789 * * [simplify]: iteration 3: 163 enodes 6.978 * * [simplify]: iteration 4: 666 enodes 9.163 * * [simplify]: iteration 5: 2943 enodes 11.769 * * [simplify]: iteration complete: 5000 enodes 11.769 * * [simplify]: Extracting #0: cost 11 inf + 0 11.770 * * [simplify]: Extracting #1: cost 109 inf + 0 11.773 * * [simplify]: Extracting #2: cost 340 inf + 86 11.783 * * [simplify]: Extracting #3: cost 257 inf + 16032 11.861 * * [simplify]: Extracting #4: cost 41 inf + 64046 11.957 * * [simplify]: Extracting #5: cost 1 inf + 74192 12.057 * * [simplify]: Extracting #6: cost 0 inf + 74586 12.158 * [simplify]: Simplified to: (real->posit16 (fma y (/ 1/2 x) x)) (expm1 (fma y (/ 1/2 x) x)) (log1p (fma y (/ 1/2 x) x)) (* (/ 1/2 x) y) (log (fma y (/ 1/2 x) x)) (exp (fma y (/ 1/2 x) x)) (* (cbrt (fma y (/ 1/2 x) x)) (cbrt (fma y (/ 1/2 x) x))) (cbrt (fma y (/ 1/2 x) x)) (* (fma y (/ 1/2 x) x) (* (fma y (/ 1/2 x) x) (fma y (/ 1/2 x) x))) (sqrt (fma y (/ 1/2 x) x)) (sqrt (fma y (/ 1/2 x) x)) (fma y (/ 1/2 x) x) (fma y (/ 1/2 x) x) (fma y (/ 1/2 x) x) 12.159 * * * [progress]: adding candidates to table 12.296 * * [progress]: iteration 3 / 4 12.296 * * * [progress]: picking best candidate 12.304 * * * * [pick]: Picked # 12.304 * * * [progress]: localizing error 12.323 * * * [progress]: generating rewritten candidates 12.323 * * * [progress]: generating series expansions 12.323 * * * [progress]: simplifying candidates 12.323 * [simplify]: Simplifying: 12.323 * * [simplify]: iteration 0: 0 enodes 12.323 * * [simplify]: iteration complete: 0 enodes 12.323 * * [simplify]: Extracting #0: cost 0 inf + 0 12.323 * [simplify]: Simplified to: 12.323 * * * [progress]: adding candidates to table 12.325 * [progress]: [Phase 3 of 3] Extracting. 12.325 * * [regime]: Finding splitpoints for: (# # #) 12.327 * * * [regime-changes]: Trying 2 branch expressions: (y x) 12.327 * * * * [regimes]: Trying to branch on y from (# # #) 12.429 * * * * [regimes]: Trying to branch on x from (# # #) 12.538 * * * [regime]: Found split indices: #