20.634 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.021 * * [simplify]: Extracting # 0 : cost 0 0.021 * * [simplify]: Extracting # 1 : cost 0 0.021 * * [simplify]: Extracting # 2 : cost 0 0.021 * * [simplify]: Extracting # 3 : cost 0 0.021 * * [simplify]: Extracting # 4 : cost 0 0.021 * * [simplify]: Extracting # 5 : cost 0 0.021 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.022 * * [simplify]: Extracting # 0 : cost 0 0.022 * * [simplify]: Extracting # 1 : cost 0 0.022 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: iteration done: 7 enodes (cost 5 ) 0.023 * [simplify]: Simplified to: (sqrt (fma x x y)) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.052 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.066 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.066 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [backup-simplify]: Simplify x into x 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 1 into 1 0.066 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.066 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.066 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.066 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.067 * [backup-simplify]: Simplify (+ 0 1) into 1 0.067 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [backup-simplify]: Simplify y into y 0.067 * [backup-simplify]: Simplify (+ 0 y) into y 0.067 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [backup-simplify]: Simplify y into y 0.068 * [backup-simplify]: Simplify (+ 0 y) into y 0.068 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.068 * [backup-simplify]: Simplify (+ 0 0) into 0 0.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.068 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (sqrt 0) into 0 0.070 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.070 * [backup-simplify]: Simplify (+ 1 0) into 1 0.071 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.071 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.071 * [taylor]: Taking taylor expansion of 1/2 in y 0.071 * [backup-simplify]: Simplify 1/2 into 1/2 0.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [backup-simplify]: Simplify 0 into 0 0.071 * [backup-simplify]: Simplify 1 into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.072 * [backup-simplify]: Simplify (sqrt 0) into 0 0.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.073 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.074 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.074 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.076 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.077 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) 0.077 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.077 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.077 * [taylor]: Taking taylor expansion of x in y 0.077 * [backup-simplify]: Simplify x into x 0.077 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.077 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.077 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (/ 1 1) into 1 0.078 * [backup-simplify]: Simplify (+ 0 1) into 1 0.078 * [backup-simplify]: Simplify (sqrt 0) into 0 0.080 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.081 * [backup-simplify]: Simplify (+ 1 0) into 1 0.082 * [backup-simplify]: Simplify (sqrt 1) into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [backup-simplify]: Simplify y into y 0.100 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.100 * [backup-simplify]: Simplify (+ 1 0) into 1 0.100 * [backup-simplify]: Simplify (sqrt 1) into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.104 * [taylor]: Taking taylor expansion of 1 in y 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.107 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.107 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.107 * [taylor]: Taking taylor expansion of 1/2 in y 0.107 * [backup-simplify]: Simplify 1/2 into 1/2 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.108 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.108 * [backup-simplify]: Simplify 1/2 into 1/2 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.117 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of -1/8 in y 0.117 * [backup-simplify]: Simplify -1/8 into -1/8 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.120 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.120 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [backup-simplify]: Simplify x into x 0.120 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.120 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [backup-simplify]: Simplify (- 1) into -1 0.122 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.122 * [backup-simplify]: Simplify (sqrt 0) into 0 0.123 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.124 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.124 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [backup-simplify]: Simplify y into y 0.125 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.125 * [backup-simplify]: Simplify (sqrt 1) into 1 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.128 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.129 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.130 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [backup-simplify]: Simplify (sqrt 1) into 1 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 0 in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.135 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.136 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.136 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.136 * [taylor]: Taking taylor expansion of -1/2 in y 0.136 * [backup-simplify]: Simplify -1/2 into -1/2 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.137 * [backup-simplify]: Simplify -1/2 into -1/2 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 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 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.148 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of -1/8 in y 0.148 * [backup-simplify]: Simplify -1/8 into -1/8 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.151 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.151 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.151 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [backup-simplify]: Simplify x into x 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [backup-simplify]: Simplify y into y 0.152 * [backup-simplify]: Simplify (+ 0 y) into y 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 0 into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [taylor]: Taking taylor expansion of 1 in y 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.155 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.155 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.155 * [taylor]: Taking taylor expansion of x in y 0.155 * [backup-simplify]: Simplify x into x 0.155 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.155 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in y 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 (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.157 * [taylor]: Taking taylor expansion of y in x 0.157 * [backup-simplify]: Simplify y into y 0.157 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [backup-simplify]: Simplify y into y 0.158 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.159 * [taylor]: Taking taylor expansion of 1 in y 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.171 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.171 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [backup-simplify]: Simplify x into x 0.171 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.171 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [backup-simplify]: Simplify y into y 0.173 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.173 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow x 2) 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 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [backup-simplify]: Simplify y into y 0.174 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [taylor]: Taking taylor expansion of 1 in y 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.179 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [backup-simplify]: Simplify (- 1) into -1 0.180 * [backup-simplify]: Simplify -1 into -1 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.187 * * * [progress]: simplifying candidates 0.188 * [simplify]: Simplifying: (expm1 (sqrt (+ (* x x) y))) (log1p (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (expm1 (+ (* x x) y)) (log1p (+ (* x x) y)) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.189 * * [simplify]: Extracting # 0 : cost 0 0.189 * * [simplify]: Extracting # 1 : cost 0 0.190 * * [simplify]: Extracting # 2 : cost 0 0.190 * * [simplify]: Extracting # 3 : cost 0 0.190 * * [simplify]: Extracting # 4 : cost 0 0.190 * * [simplify]: Extracting # 5 : cost 0 0.190 * * [simplify]: Extracting # 6 : cost 0 0.190 * * [simplify]: Extracting # 7 : cost 0 0.191 * * [simplify]: Extracting # 8 : cost 0 0.191 * * [simplify]: Extracting # 9 : cost 0 0.191 * * [simplify]: Extracting # 10 : cost 0 0.191 * * [simplify]: Extracting # 11 : cost 0 0.191 * * [simplify]: iteration 0 : 63 enodes (cost 345 ) 0.218 * * [simplify]: Extracting # 0 : cost 0 0.218 * * [simplify]: Extracting # 1 : cost 0 0.219 * * [simplify]: Extracting # 2 : cost 0 0.219 * * [simplify]: Extracting # 3 : cost 0 0.219 * * [simplify]: Extracting # 4 : cost 0 0.220 * * [simplify]: iteration 1 : 151 enodes (cost 284 ) 0.309 * * [simplify]: Extracting # 0 : cost 0 0.309 * * [simplify]: Extracting # 1 : cost 0 0.310 * * [simplify]: Extracting # 2 : cost 0 0.310 * * [simplify]: Extracting # 3 : cost 0 0.310 * * [simplify]: Extracting # 4 : cost 0 0.311 * * [simplify]: iteration 2 : 391 enodes (cost 250 ) 0.569 * * [simplify]: Extracting # 0 : cost 0 0.570 * * [simplify]: Extracting # 1 : cost 0 0.571 * * [simplify]: Extracting # 2 : cost 0 0.572 * * [simplify]: Extracting # 3 : cost 0 0.573 * * [simplify]: Extracting # 4 : cost 0 0.574 * * [simplify]: iteration 3 : 983 enodes (cost 248 ) 1.641 * * [simplify]: Extracting # 0 : cost 0 1.647 * * [simplify]: Extracting # 1 : cost 0 1.651 * * [simplify]: Extracting # 2 : cost 0 1.655 * * [simplify]: Extracting # 3 : cost 0 1.659 * * [simplify]: Extracting # 4 : cost 0 1.664 * * [simplify]: iteration 4 : 2627 enodes (cost 247 ) 3.922 * * [simplify]: Extracting # 0 : cost 0 3.928 * * [simplify]: Extracting # 1 : cost 0 3.933 * * [simplify]: Extracting # 2 : cost 0 3.938 * * [simplify]: Extracting # 3 : cost 0 3.943 * * [simplify]: Extracting # 4 : cost 0 3.952 * * [simplify]: iteration done: 5000 enodes (cost 246 ) 3.953 * [simplify]: Simplified to: (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))) (pow (sqrt (fma x x y)) 3) (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)) (hypot (pow x 3) (pow y 3/2)) (sqrt (fma y (- y (* x x)) (pow x 4))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))) (expm1 (fma x x y)) (log1p (fma x x y)) (exp (fma x x y)) (log (fma x x y)) (exp (fma x x y)) (* (cbrt (fma x x y)) (cbrt (fma x x y))) (cbrt (fma x x y)) (pow (fma x x y) 3) (sqrt (fma x x y)) (sqrt (fma x x y)) (+ (pow y 3) (pow x 6)) (fma y (- y (* x x)) (pow x 4)) (- (pow x 4) (* y y)) (- (* x x) y) (* (fma y y (- (fma x x y))) +nan.0) (fma 1/2 (/ y x) x) (- (fma 1/2 (/ y x) x)) (fma x x y) (fma x x y) (fma x x y) 3.953 * * * [progress]: adding candidates to table 4.119 * * [progress]: iteration 2 / 4 4.119 * * * [progress]: picking best candidate 4.125 * * * * [pick]: Picked # 4.125 * * * [progress]: localizing error 4.135 * * * [progress]: generating rewritten candidates 4.135 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.136 * * * [progress]: generating series expansions 4.136 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.137 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x) 4.137 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0 4.137 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x 4.137 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 4.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.137 * [taylor]: Taking taylor expansion of 1/2 in x 4.137 * [backup-simplify]: Simplify 1/2 into 1/2 4.137 * [taylor]: Taking taylor expansion of (/ y x) in x 4.137 * [taylor]: Taking taylor expansion of y in x 4.137 * [backup-simplify]: Simplify y into y 4.137 * [taylor]: Taking taylor expansion of x in x 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (/ y 1) into y 4.137 * [taylor]: Taking taylor expansion of x in x 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 1 into 1 4.137 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 4.137 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 4.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.138 * [taylor]: Taking taylor expansion of 1/2 in y 4.138 * [backup-simplify]: Simplify 1/2 into 1/2 4.138 * [taylor]: Taking taylor expansion of (/ y x) in y 4.138 * [taylor]: Taking taylor expansion of y in y 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [taylor]: Taking taylor expansion of x in y 4.138 * [backup-simplify]: Simplify x into x 4.138 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.138 * [taylor]: Taking taylor expansion of x in y 4.138 * [backup-simplify]: Simplify x into x 4.138 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 4.138 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 4.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.138 * [taylor]: Taking taylor expansion of 1/2 in y 4.138 * [backup-simplify]: Simplify 1/2 into 1/2 4.138 * [taylor]: Taking taylor expansion of (/ y x) in y 4.138 * [taylor]: Taking taylor expansion of y in y 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [taylor]: Taking taylor expansion of x in y 4.138 * [backup-simplify]: Simplify x into x 4.138 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.139 * [taylor]: Taking taylor expansion of x in y 4.139 * [backup-simplify]: Simplify x into x 4.139 * [backup-simplify]: Simplify (+ 0 x) into x 4.139 * [taylor]: Taking taylor expansion of x in x 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify 1 into 1 4.139 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 4.139 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x)) 4.139 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 4.139 * [taylor]: Taking taylor expansion of 1/2 in x 4.139 * [backup-simplify]: Simplify 1/2 into 1/2 4.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.139 * [taylor]: Taking taylor expansion of x in x 4.139 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify 1 into 1 4.140 * [backup-simplify]: Simplify (/ 1 1) into 1 4.141 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.141 * [backup-simplify]: Simplify 1/2 into 1/2 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 4.142 * [backup-simplify]: Simplify (+ 0 0) into 0 4.142 * [taylor]: Taking taylor expansion of 0 in x 4.142 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 4.145 * [backup-simplify]: Simplify (+ 0 0) into 0 4.146 * [taylor]: Taking taylor expansion of 0 in x 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.150 * [taylor]: Taking taylor expansion of 0 in x 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x))) 4.151 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x)) 4.151 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0 4.151 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x 4.151 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 4.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.152 * [taylor]: Taking taylor expansion of 1/2 in x 4.152 * [backup-simplify]: Simplify 1/2 into 1/2 4.152 * [taylor]: Taking taylor expansion of (/ x y) in x 4.152 * [taylor]: Taking taylor expansion of x in x 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [taylor]: Taking taylor expansion of y in x 4.152 * [backup-simplify]: Simplify y into y 4.152 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.152 * [taylor]: Taking taylor expansion of x in x 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (/ 1 1) into 1 4.152 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 4.152 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 4.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.152 * [taylor]: Taking taylor expansion of 1/2 in y 4.152 * [backup-simplify]: Simplify 1/2 into 1/2 4.152 * [taylor]: Taking taylor expansion of (/ x y) in y 4.152 * [taylor]: Taking taylor expansion of x in y 4.152 * [backup-simplify]: Simplify x into x 4.152 * [taylor]: Taking taylor expansion of y in y 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (/ x 1) into x 4.152 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.152 * [taylor]: Taking taylor expansion of x in y 4.152 * [backup-simplify]: Simplify x into x 4.152 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.152 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 4.153 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 4.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.153 * [taylor]: Taking taylor expansion of 1/2 in y 4.153 * [backup-simplify]: Simplify 1/2 into 1/2 4.153 * [taylor]: Taking taylor expansion of (/ x y) in y 4.153 * [taylor]: Taking taylor expansion of x in y 4.153 * [backup-simplify]: Simplify x into x 4.153 * [taylor]: Taking taylor expansion of y in y 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.153 * [backup-simplify]: Simplify (/ x 1) into x 4.153 * [taylor]: Taking taylor expansion of (/ 1 x) in y 4.153 * [taylor]: Taking taylor expansion of x in y 4.153 * [backup-simplify]: Simplify x into x 4.153 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.153 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.153 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 4.153 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.153 * [taylor]: Taking taylor expansion of 1/2 in x 4.153 * [backup-simplify]: Simplify 1/2 into 1/2 4.153 * [taylor]: Taking taylor expansion of x in x 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.154 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 4.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.154 * [taylor]: Taking taylor expansion of x in x 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 1 into 1 4.154 * [backup-simplify]: Simplify (/ 1 1) into 1 4.154 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.155 * [backup-simplify]: Simplify 0 into 0 4.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 4.156 * [backup-simplify]: Simplify (+ 0 0) into 0 4.156 * [taylor]: Taking taylor expansion of 0 in x 4.156 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.157 * [backup-simplify]: Simplify 1/2 into 1/2 4.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.160 * [backup-simplify]: Simplify (+ 0 0) into 0 4.160 * [taylor]: Taking taylor expansion of 0 in x 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify 0 into 0 4.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.161 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.164 * [backup-simplify]: Simplify (+ 0 0) into 0 4.164 * [taylor]: Taking taylor expansion of 0 in x 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.164 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x))) 4.165 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x)) 4.165 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0 4.165 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x 4.165 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 4.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.165 * [taylor]: Taking taylor expansion of 1/2 in x 4.165 * [backup-simplify]: Simplify 1/2 into 1/2 4.165 * [taylor]: Taking taylor expansion of (/ x y) in x 4.165 * [taylor]: Taking taylor expansion of x in x 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 1 into 1 4.165 * [taylor]: Taking taylor expansion of y in x 4.165 * [backup-simplify]: Simplify y into y 4.165 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.165 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.165 * [taylor]: Taking taylor expansion of -1 in x 4.165 * [backup-simplify]: Simplify -1 into -1 4.165 * [taylor]: Taking taylor expansion of x in x 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 1 into 1 4.166 * [backup-simplify]: Simplify (/ -1 1) into -1 4.166 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 4.166 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 4.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.166 * [taylor]: Taking taylor expansion of 1/2 in y 4.166 * [backup-simplify]: Simplify 1/2 into 1/2 4.166 * [taylor]: Taking taylor expansion of (/ x y) in y 4.166 * [taylor]: Taking taylor expansion of x in y 4.166 * [backup-simplify]: Simplify x into x 4.166 * [taylor]: Taking taylor expansion of y in y 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.166 * [backup-simplify]: Simplify (/ x 1) into x 4.166 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.166 * [taylor]: Taking taylor expansion of -1 in y 4.166 * [backup-simplify]: Simplify -1 into -1 4.166 * [taylor]: Taking taylor expansion of x in y 4.166 * [backup-simplify]: Simplify x into x 4.166 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 4.166 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 4.166 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 4.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.166 * [taylor]: Taking taylor expansion of 1/2 in y 4.166 * [backup-simplify]: Simplify 1/2 into 1/2 4.166 * [taylor]: Taking taylor expansion of (/ x y) in y 4.166 * [taylor]: Taking taylor expansion of x in y 4.166 * [backup-simplify]: Simplify x into x 4.166 * [taylor]: Taking taylor expansion of y in y 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.166 * [backup-simplify]: Simplify (/ x 1) into x 4.166 * [taylor]: Taking taylor expansion of (/ -1 x) in y 4.166 * [taylor]: Taking taylor expansion of -1 in y 4.166 * [backup-simplify]: Simplify -1 into -1 4.166 * [taylor]: Taking taylor expansion of x in y 4.166 * [backup-simplify]: Simplify x into x 4.167 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 4.167 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 4.167 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 4.167 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 4.167 * [taylor]: Taking taylor expansion of 1/2 in x 4.167 * [backup-simplify]: Simplify 1/2 into 1/2 4.167 * [taylor]: Taking taylor expansion of x in x 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 1 into 1 4.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 4.168 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) 4.168 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 4.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.168 * [taylor]: Taking taylor expansion of x in x 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [backup-simplify]: Simplify (/ 1 1) into 1 4.168 * [backup-simplify]: Simplify (- 1) into -1 4.168 * [backup-simplify]: Simplify -1 into -1 4.169 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 4.171 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 4.171 * [backup-simplify]: Simplify (+ 0 0) into 0 4.171 * [taylor]: Taking taylor expansion of 0 in x 4.171 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (- 0) into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.172 * [backup-simplify]: Simplify 1/2 into 1/2 4.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 4.174 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.175 * [backup-simplify]: Simplify (+ 0 0) into 0 4.175 * [taylor]: Taking taylor expansion of 0 in x 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.176 * [backup-simplify]: Simplify (- 0) into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.177 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 4.186 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 4.186 * [backup-simplify]: Simplify (+ 0 0) into 0 4.186 * [taylor]: Taking taylor expansion of 0 in x 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (- 0) into 0 4.187 * [backup-simplify]: Simplify 0 into 0 4.187 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x))) 4.187 * * * [progress]: simplifying candidates 4.187 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (* (* (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 4.188 * * [simplify]: Extracting # 0 : cost 0 4.188 * * [simplify]: Extracting # 1 : cost 0 4.188 * * [simplify]: Extracting # 2 : cost 0 4.188 * * [simplify]: Extracting # 3 : cost 0 4.188 * * [simplify]: Extracting # 4 : cost 0 4.188 * * [simplify]: iteration 0 : 16 enodes (cost 110 ) 4.190 * * [simplify]: Extracting # 0 : cost 0 4.190 * * [simplify]: Extracting # 1 : cost 0 4.190 * * [simplify]: Extracting # 2 : cost 0 4.190 * * [simplify]: iteration 1 : 21 enodes (cost 107 ) 4.194 * * [simplify]: Extracting # 0 : cost 0 4.194 * * [simplify]: Extracting # 1 : cost 0 4.194 * * [simplify]: Extracting # 2 : cost 0 4.194 * * [simplify]: iteration 2 : 48 enodes (cost 95 ) 4.208 * * [simplify]: Extracting # 0 : cost 0 4.208 * * [simplify]: Extracting # 1 : cost 0 4.209 * * [simplify]: Extracting # 2 : cost 0 4.209 * * [simplify]: Extracting # 3 : cost 0 4.209 * * [simplify]: Extracting # 4 : cost 0 4.209 * * [simplify]: iteration 3 : 157 enodes (cost 95 ) 4.324 * * [simplify]: Extracting # 0 : cost 0 4.326 * * [simplify]: Extracting # 1 : cost 0 4.327 * * [simplify]: Extracting # 2 : cost 0 4.328 * * [simplify]: Extracting # 3 : cost 0 4.329 * * [simplify]: Extracting # 4 : cost 0 4.329 * * [simplify]: Extracting # 5 : cost 0 4.330 * * [simplify]: iteration 4 : 576 enodes (cost 95 ) 5.515 * * [simplify]: Extracting # 0 : cost 0 5.521 * * [simplify]: Extracting # 1 : cost 0 5.525 * * [simplify]: Extracting # 2 : cost 0 5.529 * * [simplify]: Extracting # 3 : cost 0 5.533 * * [simplify]: Extracting # 4 : cost 0 5.536 * * [simplify]: iteration 5 : 2624 enodes (cost 95 ) 7.009 * * [simplify]: Extracting # 0 : cost 0 7.014 * * [simplify]: Extracting # 1 : cost 0 7.019 * * [simplify]: Extracting # 2 : cost 0 7.028 * * [simplify]: iteration done: 5000 enodes (cost 95 ) 7.028 * [simplify]: Simplified to: (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (pow (fma 1/2 (/ y x) x) 3) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) 7.028 * * * [progress]: adding candidates to table 7.051 * * [progress]: iteration 3 / 4 7.051 * * * [progress]: picking best candidate 7.053 * * * * [pick]: Picked # 7.053 * * * [progress]: localizing error 7.060 * * * [progress]: generating rewritten candidates 7.060 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 7.060 * * * [progress]: generating series expansions 7.061 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 7.061 * [backup-simplify]: Simplify (fma 1/2 (/ y x) x) into (fma 1/2 (/ y x) x) 7.061 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) x) in (y x) around 0 7.061 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in x 7.061 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 7.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 7.061 * [taylor]: Taking taylor expansion of 1/2 in x 7.061 * [backup-simplify]: Simplify 1/2 into 1/2 7.061 * [taylor]: Taking taylor expansion of (/ y x) in x 7.061 * [taylor]: Taking taylor expansion of y in x 7.061 * [backup-simplify]: Simplify y into y 7.061 * [taylor]: Taking taylor expansion of x in x 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 1 into 1 7.061 * [backup-simplify]: Simplify (/ y 1) into y 7.061 * [taylor]: Taking taylor expansion of x in x 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 1 into 1 7.061 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 7.061 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 7.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 7.061 * [taylor]: Taking taylor expansion of 1/2 in y 7.061 * [backup-simplify]: Simplify 1/2 into 1/2 7.061 * [taylor]: Taking taylor expansion of (/ y x) in y 7.061 * [taylor]: Taking taylor expansion of y in y 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 1 into 1 7.061 * [taylor]: Taking taylor expansion of x in y 7.061 * [backup-simplify]: Simplify x into x 7.061 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.061 * [taylor]: Taking taylor expansion of x in y 7.061 * [backup-simplify]: Simplify x into x 7.061 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) x) in y 7.062 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) x) 7.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 7.062 * [taylor]: Taking taylor expansion of 1/2 in y 7.062 * [backup-simplify]: Simplify 1/2 into 1/2 7.062 * [taylor]: Taking taylor expansion of (/ y x) in y 7.062 * [taylor]: Taking taylor expansion of y in y 7.062 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify 1 into 1 7.062 * [taylor]: Taking taylor expansion of x in y 7.062 * [backup-simplify]: Simplify x into x 7.062 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.062 * [taylor]: Taking taylor expansion of x in y 7.062 * [backup-simplify]: Simplify x into x 7.062 * [backup-simplify]: Simplify (+ 0 x) into x 7.062 * [taylor]: Taking taylor expansion of x in x 7.062 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify 1 into 1 7.062 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 7.062 * [backup-simplify]: Simplify (+ (/ 1/2 x) 0) into (* 1/2 (/ 1 x)) 7.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 7.062 * [taylor]: Taking taylor expansion of 1/2 in x 7.062 * [backup-simplify]: Simplify 1/2 into 1/2 7.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.062 * [taylor]: Taking taylor expansion of x in x 7.062 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify 1 into 1 7.063 * [backup-simplify]: Simplify (/ 1 1) into 1 7.063 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.063 * [backup-simplify]: Simplify 1/2 into 1/2 7.063 * [backup-simplify]: Simplify 0 into 0 7.063 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 7.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 7.064 * [backup-simplify]: Simplify (+ 0 0) into 0 7.064 * [taylor]: Taking taylor expansion of 0 in x 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.065 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify 1 into 1 7.065 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 7.066 * [backup-simplify]: Simplify (+ 0 0) into 0 7.066 * [taylor]: Taking taylor expansion of 0 in x 7.066 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify 0 into 0 7.067 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 7.068 * [backup-simplify]: Simplify (+ 0 0) into 0 7.068 * [taylor]: Taking taylor expansion of 0 in x 7.068 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify 0 into 0 7.068 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x))) 7.070 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 y) (/ 1 x)) (/ 1 x)) into (fma 1/2 (/ x y) (/ 1 x)) 7.070 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in (y x) around 0 7.070 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in x 7.070 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 7.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 7.070 * [taylor]: Taking taylor expansion of 1/2 in x 7.070 * [backup-simplify]: Simplify 1/2 into 1/2 7.070 * [taylor]: Taking taylor expansion of (/ x y) in x 7.070 * [taylor]: Taking taylor expansion of x in x 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [taylor]: Taking taylor expansion of y in x 7.070 * [backup-simplify]: Simplify y into y 7.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.070 * [taylor]: Taking taylor expansion of x in x 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (/ 1 1) into 1 7.071 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 7.071 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 7.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.071 * [taylor]: Taking taylor expansion of 1/2 in y 7.071 * [backup-simplify]: Simplify 1/2 into 1/2 7.071 * [taylor]: Taking taylor expansion of (/ x y) in y 7.071 * [taylor]: Taking taylor expansion of x in y 7.071 * [backup-simplify]: Simplify x into x 7.071 * [taylor]: Taking taylor expansion of y in y 7.071 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (/ x 1) into x 7.071 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.071 * [taylor]: Taking taylor expansion of x in y 7.071 * [backup-simplify]: Simplify x into x 7.071 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.071 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ 1 x)) in y 7.071 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ 1 x)) 7.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.071 * [taylor]: Taking taylor expansion of 1/2 in y 7.071 * [backup-simplify]: Simplify 1/2 into 1/2 7.071 * [taylor]: Taking taylor expansion of (/ x y) in y 7.071 * [taylor]: Taking taylor expansion of x in y 7.071 * [backup-simplify]: Simplify x into x 7.071 * [taylor]: Taking taylor expansion of y in y 7.071 * [backup-simplify]: Simplify 0 into 0 7.071 * [backup-simplify]: Simplify 1 into 1 7.071 * [backup-simplify]: Simplify (/ x 1) into x 7.072 * [taylor]: Taking taylor expansion of (/ 1 x) in y 7.072 * [taylor]: Taking taylor expansion of x in y 7.072 * [backup-simplify]: Simplify x into x 7.072 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.072 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 7.072 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 7.072 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.072 * [taylor]: Taking taylor expansion of 1/2 in x 7.072 * [backup-simplify]: Simplify 1/2 into 1/2 7.072 * [taylor]: Taking taylor expansion of x in x 7.072 * [backup-simplify]: Simplify 0 into 0 7.072 * [backup-simplify]: Simplify 1 into 1 7.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 7.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 7.073 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 7.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.073 * [taylor]: Taking taylor expansion of x in x 7.073 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify 1 into 1 7.073 * [backup-simplify]: Simplify (/ 1 1) into 1 7.073 * [backup-simplify]: Simplify 1 into 1 7.073 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.073 * [backup-simplify]: Simplify 0 into 0 7.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 7.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 7.075 * [backup-simplify]: Simplify (+ 0 0) into 0 7.075 * [taylor]: Taking taylor expansion of 0 in x 7.075 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.076 * [backup-simplify]: Simplify 0 into 0 7.076 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.076 * [backup-simplify]: Simplify 1/2 into 1/2 7.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.078 * [backup-simplify]: Simplify (+ 0 0) into 0 7.078 * [taylor]: Taking taylor expansion of 0 in x 7.078 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.079 * [backup-simplify]: Simplify 0 into 0 7.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.080 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 7.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.082 * [backup-simplify]: Simplify (+ 0 0) into 0 7.082 * [taylor]: Taking taylor expansion of 0 in x 7.083 * [backup-simplify]: Simplify 0 into 0 7.083 * [backup-simplify]: Simplify 0 into 0 7.083 * [backup-simplify]: Simplify 0 into 0 7.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.083 * [backup-simplify]: Simplify 0 into 0 7.083 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x))) 7.083 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- y)) (/ 1 (- x))) (/ 1 (- x))) into (fma 1/2 (/ x y) (/ -1 x)) 7.084 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in (y x) around 0 7.084 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in x 7.084 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 7.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 7.084 * [taylor]: Taking taylor expansion of 1/2 in x 7.084 * [backup-simplify]: Simplify 1/2 into 1/2 7.084 * [taylor]: Taking taylor expansion of (/ x y) in x 7.084 * [taylor]: Taking taylor expansion of x in x 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify 1 into 1 7.084 * [taylor]: Taking taylor expansion of y in x 7.084 * [backup-simplify]: Simplify y into y 7.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.084 * [taylor]: Taking taylor expansion of -1 in x 7.084 * [backup-simplify]: Simplify -1 into -1 7.084 * [taylor]: Taking taylor expansion of x in x 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify 1 into 1 7.084 * [backup-simplify]: Simplify (/ -1 1) into -1 7.084 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 7.084 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 7.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.084 * [taylor]: Taking taylor expansion of 1/2 in y 7.084 * [backup-simplify]: Simplify 1/2 into 1/2 7.084 * [taylor]: Taking taylor expansion of (/ x y) in y 7.084 * [taylor]: Taking taylor expansion of x in y 7.085 * [backup-simplify]: Simplify x into x 7.085 * [taylor]: Taking taylor expansion of y in y 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [backup-simplify]: Simplify (/ x 1) into x 7.085 * [taylor]: Taking taylor expansion of (/ -1 x) in y 7.085 * [taylor]: Taking taylor expansion of -1 in y 7.085 * [backup-simplify]: Simplify -1 into -1 7.085 * [taylor]: Taking taylor expansion of x in y 7.085 * [backup-simplify]: Simplify x into x 7.085 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 7.085 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) (/ -1 x)) in y 7.085 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) (/ -1 x)) 7.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 7.085 * [taylor]: Taking taylor expansion of 1/2 in y 7.085 * [backup-simplify]: Simplify 1/2 into 1/2 7.085 * [taylor]: Taking taylor expansion of (/ x y) in y 7.085 * [taylor]: Taking taylor expansion of x in y 7.085 * [backup-simplify]: Simplify x into x 7.085 * [taylor]: Taking taylor expansion of y in y 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.085 * [backup-simplify]: Simplify (/ x 1) into x 7.085 * [taylor]: Taking taylor expansion of (/ -1 x) in y 7.085 * [taylor]: Taking taylor expansion of -1 in y 7.085 * [backup-simplify]: Simplify -1 into -1 7.085 * [taylor]: Taking taylor expansion of x in y 7.085 * [backup-simplify]: Simplify x into x 7.085 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 7.085 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 7.085 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 7.085 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 7.085 * [taylor]: Taking taylor expansion of 1/2 in x 7.085 * [backup-simplify]: Simplify 1/2 into 1/2 7.085 * [taylor]: Taking taylor expansion of x in x 7.085 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify 1 into 1 7.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 7.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 7.086 * [backup-simplify]: Simplify (+ 0 (/ -1 x)) into (- (/ 1 x)) 7.087 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 7.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.087 * [taylor]: Taking taylor expansion of x in x 7.087 * [backup-simplify]: Simplify 0 into 0 7.087 * [backup-simplify]: Simplify 1 into 1 7.087 * [backup-simplify]: Simplify (/ 1 1) into 1 7.087 * [backup-simplify]: Simplify (- 1) into -1 7.087 * [backup-simplify]: Simplify -1 into -1 7.088 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.088 * [backup-simplify]: Simplify 0 into 0 7.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 7.090 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 7.091 * [backup-simplify]: Simplify (+ 0 0) into 0 7.091 * [taylor]: Taking taylor expansion of 0 in x 7.091 * [backup-simplify]: Simplify 0 into 0 7.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.092 * [backup-simplify]: Simplify (- 0) into 0 7.092 * [backup-simplify]: Simplify 0 into 0 7.093 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 7.093 * [backup-simplify]: Simplify 1/2 into 1/2 7.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.096 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.097 * [backup-simplify]: Simplify (+ 0 0) into 0 7.097 * [taylor]: Taking taylor expansion of 0 in x 7.097 * [backup-simplify]: Simplify 0 into 0 7.097 * [backup-simplify]: Simplify 0 into 0 7.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.098 * [backup-simplify]: Simplify (- 0) into 0 7.098 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 7.099 * [backup-simplify]: Simplify 0 into 0 7.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 7.112 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 7.113 * [backup-simplify]: Simplify (+ 0 0) into 0 7.113 * [taylor]: Taking taylor expansion of 0 in x 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.113 * [backup-simplify]: Simplify 0 into 0 7.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.114 * [backup-simplify]: Simplify (- 0) into 0 7.114 * [backup-simplify]: Simplify 0 into 0 7.115 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x))) 7.115 * * * [progress]: simplifying candidates 7.115 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (* (* (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 7.116 * * [simplify]: Extracting # 0 : cost 0 7.116 * * [simplify]: Extracting # 1 : cost 0 7.116 * * [simplify]: Extracting # 2 : cost 0 7.116 * * [simplify]: Extracting # 3 : cost 0 7.116 * * [simplify]: Extracting # 4 : cost 0 7.116 * * [simplify]: iteration 0 : 16 enodes (cost 110 ) 7.121 * * [simplify]: Extracting # 0 : cost 0 7.121 * * [simplify]: Extracting # 1 : cost 0 7.121 * * [simplify]: Extracting # 2 : cost 0 7.121 * * [simplify]: iteration 1 : 21 enodes (cost 107 ) 7.129 * * [simplify]: Extracting # 0 : cost 0 7.130 * * [simplify]: Extracting # 1 : cost 0 7.130 * * [simplify]: Extracting # 2 : cost 0 7.130 * * [simplify]: iteration 2 : 48 enodes (cost 95 ) 7.146 * * [simplify]: Extracting # 0 : cost 0 7.146 * * [simplify]: Extracting # 1 : cost 0 7.146 * * [simplify]: Extracting # 2 : cost 0 7.146 * * [simplify]: Extracting # 3 : cost 0 7.146 * * [simplify]: Extracting # 4 : cost 0 7.146 * * [simplify]: iteration 3 : 157 enodes (cost 95 ) 7.241 * * [simplify]: Extracting # 0 : cost 0 7.242 * * [simplify]: Extracting # 1 : cost 0 7.242 * * [simplify]: Extracting # 2 : cost 0 7.243 * * [simplify]: Extracting # 3 : cost 0 7.243 * * [simplify]: Extracting # 4 : cost 0 7.244 * * [simplify]: Extracting # 5 : cost 0 7.244 * * [simplify]: iteration 4 : 576 enodes (cost 95 ) 8.397 * * [simplify]: Extracting # 0 : cost 0 8.403 * * [simplify]: Extracting # 1 : cost 0 8.406 * * [simplify]: Extracting # 2 : cost 0 8.410 * * [simplify]: Extracting # 3 : cost 0 8.415 * * [simplify]: Extracting # 4 : cost 0 8.419 * * [simplify]: iteration 5 : 2624 enodes (cost 95 ) 9.833 * * [simplify]: Extracting # 0 : cost 0 9.842 * * [simplify]: Extracting # 1 : cost 0 9.848 * * [simplify]: Extracting # 2 : cost 0 9.855 * * [simplify]: iteration done: 5000 enodes (cost 95 ) 9.855 * [simplify]: Simplified to: (expm1 (fma 1/2 (/ y x) x)) (log1p (fma 1/2 (/ y x) x)) (* 1/2 (/ y x)) (log (fma 1/2 (/ y x) x)) (exp (fma 1/2 (/ y x) x)) (* (cbrt (fma 1/2 (/ y x) x)) (cbrt (fma 1/2 (/ y x) x))) (cbrt (fma 1/2 (/ y x) x)) (pow (fma 1/2 (/ y x) x) 3) (sqrt (fma 1/2 (/ y x) x)) (sqrt (fma 1/2 (/ y x) x)) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) (fma 1/2 (/ y x) x) 9.855 * * * [progress]: adding candidates to table 9.886 * [progress]: [Phase 3 of 3] Extracting. 9.886 * * [regime]: Finding splitpoints for: (# # #)