57.500 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (* x (- 1.0 (* x 0.5))) 0.025 * * [simplify]: iteration 0: 6 enodes 0.026 * * [simplify]: iteration 1: 10 enodes 0.027 * * [simplify]: iteration 2: 23 enodes 0.031 * * [simplify]: iteration 3: 45 enodes 0.037 * * [simplify]: iteration 4: 60 enodes 0.044 * * [simplify]: iteration complete: 60 enodes 0.045 * * [simplify]: Extracting #0: cost 1 inf + 0 0.045 * * [simplify]: Extracting #1: cost 14 inf + 0 0.045 * * [simplify]: Extracting #2: cost 10 inf + 44 0.045 * * [simplify]: Extracting #3: cost 2 inf + 609 0.045 * * [simplify]: Extracting #4: cost 0 inf + 783 0.046 * [simplify]: Simplified to: (* (- 1.0 (* x 0.5)) x) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.074 * [backup-simplify]: Simplify (* x (- 1.0 (* x 0.5))) into (* x (- 1.0 (* 0.5 x))) 0.074 * [approximate]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in (x) around 0 0.074 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [backup-simplify]: Simplify 1.0 into 1.0 0.074 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.074 * [taylor]: Taking taylor expansion of 0.5 in x 0.074 * [backup-simplify]: Simplify 0.5 into 0.5 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* 0.5 x))) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 x)) in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [backup-simplify]: Simplify 1.0 into 1.0 0.074 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.074 * [taylor]: Taking taylor expansion of 0.5 in x 0.074 * [backup-simplify]: Simplify 0.5 into 0.5 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [backup-simplify]: Simplify 0 into 0 0.074 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 0.5 0) into 0 0.075 * [backup-simplify]: Simplify (- 0) into 0 0.075 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.075 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.075 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 0.077 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.077 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.078 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 0.078 * [backup-simplify]: Simplify 1.0 into 1.0 0.079 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 0.079 * [backup-simplify]: Simplify (- 0) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 0.082 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.082 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.082 * [backup-simplify]: Simplify (- 0) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.084 * [backup-simplify]: Simplify (- 0) into 0 0.085 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))) into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.087 * [backup-simplify]: Simplify (- 0) into 0 0.087 * [backup-simplify]: Simplify (+ 0 0) into 0 0.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.089 * [backup-simplify]: Simplify (- 0) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))) into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.092 * [backup-simplify]: Simplify (- 0) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 0.095 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 0 0) into 0 0.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))))) into 0 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow x 2)) (* 1.0 x)) into (- (* 1.0 x) (* 0.5 (pow x 2))) 0.097 * [backup-simplify]: Simplify (* (/ 1 x) (- 1.0 (* (/ 1 x) 0.5))) into (/ (- 1.0 (* 0.5 (/ 1 x))) x) 0.097 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in (x) around 0 0.097 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in x 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [backup-simplify]: Simplify 1.0 into 1.0 0.097 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of 0.5 in x 0.097 * [backup-simplify]: Simplify 0.5 into 0.5 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (/ 1 1) into 1 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.098 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.099 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.099 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 0.099 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 x))) x) in x 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 x))) in x 0.099 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [backup-simplify]: Simplify 1.0 into 1.0 0.099 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.099 * [taylor]: Taking taylor expansion of 0.5 in x 0.099 * [backup-simplify]: Simplify 0.5 into 0.5 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.100 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.101 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 0.101 * [backup-simplify]: Simplify (/ (- 0.5) 1) into -0.5 0.101 * [backup-simplify]: Simplify -0.5 into -0.5 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.103 * [backup-simplify]: Simplify (- 0) into 0 0.103 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.104 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* -0.5 (/ 0 1)))) into 1.0 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.105 * [backup-simplify]: Simplify (- 0) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.116 * [backup-simplify]: Simplify (- 0) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.120 * [backup-simplify]: Simplify (- 0) into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 x))) (* -0.5 (pow (/ 1 (/ 1 x)) 2))) into (- (* 1.0 x) (* 0.5 (pow x 2))) 0.125 * [backup-simplify]: Simplify (* (/ 1 (- x)) (- 1.0 (* (/ 1 (- x)) 0.5))) into (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) 0.125 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in (x) around 0 0.125 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in x 0.125 * [taylor]: Taking taylor expansion of -1 in x 0.125 * [backup-simplify]: Simplify -1 into -1 0.125 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 x)) 1.0) x) in x 0.125 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.125 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.125 * [taylor]: Taking taylor expansion of 0.5 in x 0.125 * [backup-simplify]: Simplify 0.5 into 0.5 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ 1 1) into 1 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [backup-simplify]: Simplify 1.0 into 1.0 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.126 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.126 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.126 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (* 0.5 (/ 1 x)) 1.0) x)) in x 0.126 * [taylor]: Taking taylor expansion of -1 in x 0.126 * [backup-simplify]: Simplify -1 into -1 0.126 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 x)) 1.0) x) in x 0.126 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 x)) 1.0) in x 0.126 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of 0.5 in x 0.126 * [backup-simplify]: Simplify 0.5 into 0.5 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 0.127 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 0.127 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 0.128 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 0.128 * [backup-simplify]: Simplify -0.5 into -0.5 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.130 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 0.5 (/ 0 1)))) into 1.0 0.131 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 0 0.5)) into (- 1.0) 0.131 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (* 0 0.5))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5)))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5))))) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5)))))) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5))))))) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5)))))))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- x)))) (* -0.5 (pow (/ 1 (/ 1 (- x))) 2))) into (- (* 1.0 x) (* 0.5 (pow x 2))) 0.155 * * * [progress]: simplifying candidates 0.156 * [simplify]: Simplifying: (expm1 (* x (- 1.0 (* x 0.5)))) (log1p (* x (- 1.0 (* x 0.5)))) (* x (- 1.0 (* x 0.5))) (+ (log x) (log (- 1.0 (* x 0.5)))) (log (* x (- 1.0 (* x 0.5)))) (exp (* x (- 1.0 (* x 0.5)))) (* (* (* x x) x) (* (* (- 1.0 (* x 0.5)) (- 1.0 (* x 0.5))) (- 1.0 (* x 0.5)))) (* (cbrt (* x (- 1.0 (* x 0.5)))) (cbrt (* x (- 1.0 (* x 0.5))))) (cbrt (* x (- 1.0 (* x 0.5)))) (* (* (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5)))) (* x (- 1.0 (* x 0.5)))) (sqrt (* x (- 1.0 (* x 0.5)))) (sqrt (* x (- 1.0 (* x 0.5)))) (* (sqrt x) (sqrt (- 1.0 (* x 0.5)))) (* (sqrt x) (sqrt (- 1.0 (* x 0.5)))) (* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* 0.5 x)))) (* x (fma (- 0.5) x (* 0.5 x))) (* x (fma (sqrt 1.0) (sqrt 1.0) (- (* 0.5 x)))) (* x (fma (- 0.5) x (* 0.5 x))) (* x (fma 1 1.0 (- (* 0.5 x)))) (* x (fma (- 0.5) x (* 0.5 x))) (* x 1.0) (* x (- (* x 0.5))) (* x 1.0) (* x (- (* x 0.5))) (* (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* 0.5 x))) x) (* (fma (- 0.5) x (* 0.5 x)) x) (* (fma (sqrt 1.0) (sqrt 1.0) (- (* 0.5 x))) x) (* (fma (- 0.5) x (* 0.5 x)) x) (* (fma 1 1.0 (- (* 0.5 x))) x) (* (fma (- 0.5) x (* 0.5 x)) x) (* 1.0 x) (* (- (* x 0.5)) x) (* 1.0 x) (* (- (* x 0.5)) x) (* x (* (cbrt (- 1.0 (* x 0.5))) (cbrt (- 1.0 (* x 0.5))))) (* x (sqrt (- 1.0 (* x 0.5)))) (* x 1) (* (cbrt x) (- 1.0 (* x 0.5))) (* (sqrt x) (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) (* x (- (pow 1.0 3) (pow (* x 0.5) 3))) (* x (- (* 1.0 1.0) (* (* x 0.5) (* x 0.5)))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) 0.156 * * [simplify]: iteration 0: 71 enodes 0.173 * * [simplify]: iteration 1: 174 enodes 0.237 * * [simplify]: iteration 2: 721 enodes 0.437 * * [simplify]: iteration complete: 5000 enodes 0.437 * * [simplify]: Extracting #0: cost 29 inf + 0 0.438 * * [simplify]: Extracting #1: cost 757 inf + 1 0.444 * * [simplify]: Extracting #2: cost 1683 inf + 11218 0.466 * * [simplify]: Extracting #3: cost 1087 inf + 147616 0.525 * * [simplify]: Extracting #4: cost 227 inf + 287955 0.633 * * [simplify]: Extracting #5: cost 14 inf + 324980 0.704 * * [simplify]: Extracting #6: cost 1 inf + 328542 0.794 * * [simplify]: Extracting #7: cost 0 inf + 328836 0.877 * [simplify]: Simplified to: (expm1 (* x (- 1.0 (* x 0.5)))) (log1p (* x (- 1.0 (* x 0.5)))) (* x (- 1.0 (* x 0.5))) (log (* x (- 1.0 (* x 0.5)))) (log (* x (- 1.0 (* x 0.5)))) (exp (* x (- 1.0 (* x 0.5)))) (* (* (- 1.0 (* x 0.5)) x) (* (* x (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))))) (* (cbrt (* x (- 1.0 (* x 0.5)))) (cbrt (* x (- 1.0 (* x 0.5))))) (cbrt (* x (- 1.0 (* x 0.5)))) (* (* (* (- 1.0 (* x 0.5)) x) (* (- 1.0 (* x 0.5)) x)) (* (- 1.0 (* x 0.5)) x)) (sqrt (* x (- 1.0 (* x 0.5)))) (sqrt (* x (- 1.0 (* x 0.5)))) (* (sqrt (- 1.0 (* x 0.5))) (sqrt x)) (* (sqrt (- 1.0 (* x 0.5))) (sqrt x)) (* x (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (* 0.5 x))) (* (* x x) (+ (- 0.5) 0.5)) (* x (- 1.0 (* 0.5 x))) (* (* x x) (+ (- 0.5) 0.5)) (* x (- 1.0 (* 0.5 x))) (* (* x x) (+ (- 0.5) 0.5)) (* 1.0 x) (* (- x) (* x 0.5)) (* 1.0 x) (* (- x) (* x 0.5)) (* (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) (* 0.5 x)) x) (* (* x x) (+ (- 0.5) 0.5)) (* x (- 1.0 (* 0.5 x))) (* (* x x) (+ (- 0.5) 0.5)) (* x (- 1.0 (* 0.5 x))) (* (* x x) (+ (- 0.5) 0.5)) (* 1.0 x) (* (* x 0.5) (- x)) (* 1.0 x) (* (* x 0.5) (- x)) (* (cbrt (- 1.0 (* x 0.5))) (* (cbrt (- 1.0 (* x 0.5))) x)) (* x (sqrt (- 1.0 (* x 0.5)))) x (* (- 1.0 (* x 0.5)) (cbrt x)) (* (sqrt x) (- 1.0 (* x 0.5))) (* x (- 1.0 (* x 0.5))) (* (- (* (* 1.0 1.0) 1.0) (* (* x 0.5) (* (* x 0.5) (* x 0.5)))) x) (* (+ 1.0 (* x 0.5)) (* (- 1.0 (* x 0.5)) x)) (* x (- 1.0 (* 0.5 x))) (* x (- 1.0 (* 0.5 x))) (* x (- 1.0 (* 0.5 x))) 0.878 * * * [progress]: adding candidates to table 1.004 * * [progress]: iteration 2 / 4 1.004 * * * [progress]: picking best candidate 1.009 * * * * [pick]: Picked # 1.009 * * * [progress]: localizing error 1.027 * * * [progress]: generating rewritten candidates 1.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.035 * * * [progress]: generating series expansions 1.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.035 * [backup-simplify]: Simplify (+ (* 1.0 x) (* (- (* x 0.5)) x)) into (- (* 1.0 x) (* 0.5 (pow x 2))) 1.035 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* 0.5 (pow x 2))) in (x) around 0 1.035 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 0.5 (pow x 2))) in x 1.035 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.035 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [backup-simplify]: Simplify 1.0 into 1.0 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.035 * [taylor]: Taking taylor expansion of (* 0.5 (pow x 2)) in x 1.035 * [taylor]: Taking taylor expansion of 0.5 in x 1.035 * [backup-simplify]: Simplify 0.5 into 0.5 1.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.035 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* 0.5 (pow x 2))) in x 1.035 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.035 * [taylor]: Taking taylor expansion of 1.0 in x 1.035 * [backup-simplify]: Simplify 1.0 into 1.0 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.035 * [taylor]: Taking taylor expansion of (* 0.5 (pow x 2)) in x 1.035 * [taylor]: Taking taylor expansion of 0.5 in x 1.035 * [backup-simplify]: Simplify 0.5 into 0.5 1.035 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.035 * [taylor]: Taking taylor expansion of x in x 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify (* 1.0 0) into 0 1.036 * [backup-simplify]: Simplify (+ 0 0) into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 1.038 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.038 * [backup-simplify]: Simplify 1.0 into 1.0 1.038 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 1.038 * [backup-simplify]: Simplify (* 1 1) into 1 1.039 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.039 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.039 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 1.040 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.040 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.041 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 1.042 * [backup-simplify]: Simplify (- 0) into 0 1.042 * [backup-simplify]: Simplify (+ 0 0) into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.044 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 1.044 * [backup-simplify]: Simplify (- 0) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.044 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.046 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.047 * [backup-simplify]: Simplify (- 0) into 0 1.047 * [backup-simplify]: Simplify (+ 0 0) into 0 1.047 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.049 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.049 * [backup-simplify]: Simplify (- 0) into 0 1.050 * [backup-simplify]: Simplify (+ 0 0) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.052 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.053 * [backup-simplify]: Simplify (- 0) into 0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 1.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.056 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.056 * [backup-simplify]: Simplify (- 0) into 0 1.056 * [backup-simplify]: Simplify (+ 0 0) into 0 1.056 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow x 2)) (* 1.0 x)) into (- (* 1.0 x) (* 0.5 (pow x 2))) 1.057 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 x)) (* (- (* (/ 1 x) 0.5)) (/ 1 x))) into (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) 1.057 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) in (x) around 0 1.057 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) in x 1.057 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.057 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [backup-simplify]: Simplify 1.0 into 1.0 1.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 1 into 1 1.057 * [backup-simplify]: Simplify (/ 1 1) into 1 1.057 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 1.057 * [taylor]: Taking taylor expansion of 0.5 in x 1.057 * [backup-simplify]: Simplify 0.5 into 0.5 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify (* 1 1) into 1 1.058 * [backup-simplify]: Simplify (/ 1 1) into 1 1.058 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (* 0.5 (/ 1 (pow x 2)))) in x 1.058 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.058 * [taylor]: Taking taylor expansion of 1.0 in x 1.058 * [backup-simplify]: Simplify 1.0 into 1.0 1.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.058 * [taylor]: Taking taylor expansion of x in x 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify (/ 1 1) into 1 1.058 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 1.058 * [taylor]: Taking taylor expansion of 0.5 in x 1.059 * [backup-simplify]: Simplify 0.5 into 0.5 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.059 * [taylor]: Taking taylor expansion of x in x 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.059 * [backup-simplify]: Simplify (* 1 1) into 1 1.059 * [backup-simplify]: Simplify (/ 1 1) into 1 1.059 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.060 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.060 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 1.060 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.061 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 1.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.062 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 1.062 * [backup-simplify]: Simplify (- 0) into 0 1.063 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.063 * [backup-simplify]: Simplify 1.0 into 1.0 1.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 1.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 1.065 * [backup-simplify]: Simplify (- 0) into 0 1.066 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 1.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.069 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.069 * [backup-simplify]: Simplify (- 0) into 0 1.069 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.075 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.077 * [backup-simplify]: Simplify (- 0) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.077 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.081 * [backup-simplify]: Simplify (- 0) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.086 * [backup-simplify]: Simplify (- 0) into 0 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.087 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.090 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.090 * [backup-simplify]: Simplify (- 0) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (/ 1 x))) (* (- 0.5) (pow (/ 1 (/ 1 x)) 2))) into (- (* 1.0 x) (* 0.5 (pow x 2))) 1.092 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 (- x))) (* (- (* (/ 1 (- x)) 0.5)) (/ 1 (- x)))) into (- (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) 1.092 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) in (x) around 0 1.092 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) in x 1.092 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x))) in x 1.092 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 1.092 * [taylor]: Taking taylor expansion of 0.5 in x 1.092 * [backup-simplify]: Simplify 0.5 into 0.5 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (* 1 1) into 1 1.093 * [backup-simplify]: Simplify (/ 1 1) into 1 1.093 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [backup-simplify]: Simplify 1.0 into 1.0 1.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (/ 1 1) into 1 1.094 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x)))) in x 1.094 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (pow x 2))) (* 1.0 (/ 1 x))) in x 1.094 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow x 2))) in x 1.094 * [taylor]: Taking taylor expansion of 0.5 in x 1.094 * [backup-simplify]: Simplify 0.5 into 0.5 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (* 1 1) into 1 1.094 * [backup-simplify]: Simplify (/ 1 1) into 1 1.094 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [backup-simplify]: Simplify 1.0 into 1.0 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (/ 1 1) into 1 1.095 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.095 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 1.096 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.096 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.097 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 1.097 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 1.098 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.098 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.098 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.100 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 1.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 1.101 * [backup-simplify]: Simplify (+ 0 0) into 0 1.101 * [backup-simplify]: Simplify (- 0) into 0 1.101 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.104 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 1.104 * [backup-simplify]: Simplify (+ 0 0) into 0 1.105 * [backup-simplify]: Simplify (- 0) into 0 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.107 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.108 * [backup-simplify]: Simplify (- 0) into 0 1.108 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.111 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.113 * [backup-simplify]: Simplify (- 0) into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.119 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.120 * [backup-simplify]: Simplify (- 0) into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.123 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.126 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [backup-simplify]: Simplify (- 0) into 0 1.127 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (/ 1 (- x)))) (* (- 0.5) (pow (/ 1 (/ 1 (- x))) 2))) into (- (* 1.0 x) (* 0.5 (pow x 2))) 1.128 * * * [progress]: simplifying candidates 1.128 * [simplify]: Simplifying: (expm1 (+ (* 1.0 x) (* (- (* x 0.5)) x))) (log1p (+ (* 1.0 x) (* (- (* x 0.5)) x))) (* (exp (* 1.0 x)) (exp (* (- (* x 0.5)) x))) (log (+ (* 1.0 x) (* (- (* x 0.5)) x))) (exp (+ (* 1.0 x) (* (- (* x 0.5)) x))) (* (cbrt (+ (* 1.0 x) (* (- (* x 0.5)) x))) (cbrt (+ (* 1.0 x) (* (- (* x 0.5)) x)))) (cbrt (+ (* 1.0 x) (* (- (* x 0.5)) x))) (* (* (+ (* 1.0 x) (* (- (* x 0.5)) x)) (+ (* 1.0 x) (* (- (* x 0.5)) x))) (+ (* 1.0 x) (* (- (* x 0.5)) x))) (sqrt (+ (* 1.0 x) (* (- (* x 0.5)) x))) (sqrt (+ (* 1.0 x) (* (- (* x 0.5)) x))) (+ (pow (* 1.0 x) 3) (pow (* (- (* x 0.5)) x) 3)) (+ (* (* 1.0 x) (* 1.0 x)) (- (* (* (- (* x 0.5)) x) (* (- (* x 0.5)) x)) (* (* 1.0 x) (* (- (* x 0.5)) x)))) (- (* (* 1.0 x) (* 1.0 x)) (* (* (- (* x 0.5)) x) (* (- (* x 0.5)) x))) (- (* 1.0 x) (* (- (* x 0.5)) x)) (+ 1.0 (- (* x 0.5))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) (- (* 1.0 x) (* 0.5 (pow x 2))) 1.129 * * [simplify]: iteration 0: 36 enodes 1.142 * * [simplify]: iteration 1: 127 enodes 1.237 * * [simplify]: iteration 2: 726 enodes 1.588 * * [simplify]: iteration complete: 5000 enodes 1.588 * * [simplify]: Extracting #0: cost 14 inf + 0 1.589 * * [simplify]: Extracting #1: cost 392 inf + 0 1.594 * * [simplify]: Extracting #2: cost 1691 inf + 11911 1.628 * * [simplify]: Extracting #3: cost 862 inf + 204736 1.700 * * [simplify]: Extracting #4: cost 98 inf + 380843 1.776 * * [simplify]: Extracting #5: cost 7 inf + 401660 1.853 * * [simplify]: Extracting #6: cost 0 inf + 404005 1.953 * [simplify]: Simplified to: (expm1 (* (- 1.0 (* 0.5 x)) x)) (log1p (* (- 1.0 (* 0.5 x)) x)) (exp (* (- 1.0 (* 0.5 x)) x)) (log (* (- 1.0 (* 0.5 x)) x)) (exp (* (- 1.0 (* 0.5 x)) x)) (* (cbrt (* (- 1.0 (* 0.5 x)) x)) (cbrt (* (- 1.0 (* 0.5 x)) x))) (cbrt (* (- 1.0 (* 0.5 x)) x)) (* x (* (- 1.0 (* 0.5 x)) (* (* x (- 1.0 (* 0.5 x))) (* x (- 1.0 (* 0.5 x)))))) (sqrt (* (- 1.0 (* 0.5 x)) x)) (sqrt (* (- 1.0 (* 0.5 x)) x)) (fma (* 1.0 x) (* (* 1.0 x) (* 1.0 x)) (- (* (* (* 0.5 x) x) (* (* (* 0.5 x) x) (* (* 0.5 x) x))))) (fma (* 1.0 x) (* 1.0 x) (* (* (* 0.5 x) x) (+ (* (* 0.5 x) x) (* 1.0 x)))) (* x (* x (* (+ 1.0 (* 0.5 x)) (- 1.0 (* 0.5 x))))) (* x (+ (* 0.5 x) 1.0)) (- 1.0 (* 0.5 x)) (* (- 1.0 (* 0.5 x)) x) (* (- 1.0 (* 0.5 x)) x) (* (- 1.0 (* 0.5 x)) x) 1.954 * * * [progress]: adding candidates to table 2.046 * [progress]: [Phase 3 of 3] Extracting. 2.046 * * [regime]: Finding splitpoints for: (# #) 2.046 * * * [regime-changes]: Trying 2 branch expressions: ((* x (- 1.0 (* x 0.5))) x) 2.046 * * * * [regimes]: Trying to branch on (* x (- 1.0 (* x 0.5))) from (# #) 2.085 * * * * [regimes]: Trying to branch on x from (# #) 2.121 * * * [regime]: Found split indices: #