40.838 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) 0.024 * * [simplify]: iteration 0 : 12 enodes (cost 6 ) 0.025 * * [simplify]: iteration 1 : 16 enodes (cost 6 ) 0.026 * * [simplify]: iteration 2 : 19 enodes (cost 6 ) 0.027 * * [simplify]: iteration 3 : 21 enodes (cost 6 ) 0.029 * * [simplify]: iteration 4 : 27 enodes (cost 6 ) 0.030 * * [simplify]: iteration 5 : 39 enodes (cost 6 ) 0.032 * * [simplify]: iteration 6 : 58 enodes (cost 6 ) 0.033 * * [simplify]: iteration 7 : 79 enodes (cost 6 ) 0.035 * * [simplify]: iteration 8 : 107 enodes (cost 6 ) 0.037 * * [simplify]: iteration 9 : 160 enodes (cost 6 ) 0.039 * * [simplify]: iteration 10 : 277 enodes (cost 6 ) 0.041 * * [simplify]: iteration 11 : 303 enodes (cost 6 ) 0.043 * * [simplify]: iteration 12 : 303 enodes (cost 6 ) 0.043 * [simplify]: Simplified to: (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) 0.043 * * [progress]: iteration 1 / 4 0.043 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.060 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.064 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.069 * [approximate]: Taking taylor expansion of (- (/ x (+ x 1.0)) (+ (/ x (- x 1.0)) (* 1.0 (/ 1 (- x 1.0))))) in (x) around 0 0.069 * [taylor]: Taking taylor expansion of (- (/ x (+ x 1.0)) (+ (/ x (- x 1.0)) (* 1.0 (/ 1 (- x 1.0))))) in x 0.069 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ x (- x 1.0)) (* 1.0 (/ 1 (- x 1.0)))) in x 0.070 * [taylor]: Taking taylor expansion of (/ x (- x 1.0)) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- x 1.0))) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (- x 1.0)) in x 0.072 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (- (/ x (+ x 1.0)) (+ (/ x (- x 1.0)) (* 1.0 (/ 1 (- x 1.0))))) in x 0.073 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ x (- x 1.0)) (* 1.0 (/ 1 (- x 1.0)))) in x 0.074 * [taylor]: Taking taylor expansion of (/ x (- x 1.0)) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- x 1.0))) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (- x 1.0)) in x 0.075 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [approximate]: Taking taylor expansion of (- (/ 1 (* x (+ 1.0 (/ 1 x)))) (+ (* 1.0 (/ 1 (- (/ 1 x) 1.0))) (/ 1 (* (- (/ 1 x) 1.0) x)))) in (x) around 0 0.094 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (+ 1.0 (/ 1 x)))) (+ (* 1.0 (/ 1 (- (/ 1 x) 1.0))) (/ 1 (* (- (/ 1 x) 1.0) x)))) in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 0.094 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- (/ 1 x) 1.0))) (/ 1 (* (- (/ 1 x) 1.0) x))) in x 0.096 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- (/ 1 x) 1.0))) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) 1.0)) in x 0.096 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) 1.0) x)) in x 0.097 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) 1.0) x) in x 0.097 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 (* x (+ 1.0 (/ 1 x)))) (+ (* 1.0 (/ 1 (- (/ 1 x) 1.0))) (/ 1 (* (- (/ 1 x) 1.0) x)))) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 0.100 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- (/ 1 x) 1.0))) (/ 1 (* (- (/ 1 x) 1.0) x))) in x 0.106 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- (/ 1 x) 1.0))) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) 1.0)) in x 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) 1.0) x)) in x 0.107 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) 1.0) x) in x 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.149 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (+ (/ 1 (* (- 1.0 (/ 1 x)) x)) (/ 1 (* x (+ 1.0 (/ 1 x)))))) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (+ (/ 1 (* (- 1.0 (/ 1 x)) x)) (/ 1 (* x (+ 1.0 (/ 1 x)))))) in x 0.150 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.150 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (- 1.0 (/ 1 x)) x)) (/ 1 (* x (+ 1.0 (/ 1 x))))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.151 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 0.153 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (+ (/ 1 (* (- 1.0 (/ 1 x)) x)) (/ 1 (* x (+ 1.0 (/ 1 x)))))) in x 0.155 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.155 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (- 1.0 (/ 1 x)) x)) (/ 1 (* x (+ 1.0 (/ 1 x))))) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1.0 (/ 1 x)) x)) in x 0.156 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 0.159 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.201 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.201 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) (- x 1.0)) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- x 1.0)) in x 0.201 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) (- x 1.0)) in x 0.203 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- (/ 1 x) 1.0)) in (x) around 0 0.213 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- (/ 1 x) 1.0)) in x 0.213 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) (- (/ 1 x) 1.0)) in x 0.215 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in (x) around 0 0.225 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 0.225 * [taylor]: Taking taylor expansion of -1 in x 0.225 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.225 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x)))) in x 0.227 * [taylor]: Taking taylor expansion of -1 in x 0.227 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ 1.0 (/ 1 x))) in x 0.227 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.239 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.239 * [approximate]: Taking taylor expansion of (/ x (+ x 1.0)) in (x) around 0 0.239 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (/ x (+ x 1.0)) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 0.247 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ 1.0 (/ 1 x)))) in x 0.249 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.260 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 x)) x)) in (x) around 0 0.260 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 x)) x)) in x 0.260 * [taylor]: Taking taylor expansion of -1 in x 0.260 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.260 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 x)) x)) in x 0.262 * [taylor]: Taking taylor expansion of -1 in x 0.262 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.276 * * * [progress]: simplifying candidates 0.278 * [simplify]: Simplifying using # : (fma x (/ 1 (+ x 1.0)) (- (* (/ 1 (- x 1.0)) (+ x 1.0)))) (fma (- (/ 1 (- x 1.0))) (+ x 1.0) (* (/ 1 (- x 1.0)) (+ x 1.0))) (fma x (/ 1 (+ x 1.0)) (- (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3)))))) (fma (- (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3))) (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3))))) (fma x (/ 1 (+ x 1.0)) (- (* (+ x 1.0) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))))) (fma (- (+ x 1.0)) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))))) (fma (/ x (+ (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (- (* (/ 1 (- x 1.0)) (+ x 1.0)))) (fma (- (/ 1 (- x 1.0))) (+ x 1.0) (* (/ 1 (- x 1.0)) (+ x 1.0))) (fma (/ x (+ (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (- (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3)))))) (fma (- (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3))) (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3))))) (fma (/ x (+ (pow x 3) (pow 1.0 3))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (- (* (+ x 1.0) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))))) (fma (- (+ x 1.0)) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))))) (fma (/ x (- (* x x) (* 1.0 1.0))) (- x 1.0) (- (* (/ 1 (- x 1.0)) (+ x 1.0)))) (fma (- (/ 1 (- x 1.0))) (+ x 1.0) (* (/ 1 (- x 1.0)) (+ x 1.0))) (fma (/ x (- (* x x) (* 1.0 1.0))) (- x 1.0) (- (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3)))))) (fma (- (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3))) (* (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3))))) (fma (/ x (- (* x x) (* 1.0 1.0))) (- x 1.0) (- (* (+ x 1.0) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))))) (fma (- (+ x 1.0)) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))))) (- (/ (+ x 1.0) (- x 1.0))) (- (/ (+ x 1.0) (- x 1.0))) (- (/ (+ x 1.0) (- x 1.0))) (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (* (+ x 1.0) (- x 1.0)) (- (* x (- (- x 1.0))) (* (+ x 1.0) (- (+ x 1.0)))) (* (+ x 1.0) (- (- x 1.0))) (- (* x (/ (- x 1.0) (+ x 1.0))) (* (+ x 1.0) 1)) (* (+ x 1.0) (/ (- x 1.0) (+ x 1.0))) (- (* x (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (+ x 1.0) (+ (pow x 3) (pow 1.0 3)))) (* (+ x 1.0) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (- (* x (* (- x 1.0) (- x 1.0))) (* (+ x 1.0) (- (* x x) (* 1.0 1.0)))) (* (+ x 1.0) (* (- x 1.0) (- x 1.0))) (- (* (- x) (- x 1.0)) (* (- (+ x 1.0)) (+ x 1.0))) (* (- (+ x 1.0)) (- x 1.0)) (- (* (- x) (- (- x 1.0))) (* (- (+ x 1.0)) (- (+ x 1.0)))) (* (- (+ x 1.0)) (- (- x 1.0))) (- (* (- x) (/ (- x 1.0) (+ x 1.0))) (* (- (+ x 1.0)) 1)) (* (- (+ x 1.0)) (/ (- x 1.0) (+ x 1.0))) (- (* (- x) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (- (+ x 1.0)) (+ (pow x 3) (pow 1.0 3)))) (* (- (+ x 1.0)) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (- (* (- x) (* (- x 1.0) (- x 1.0))) (* (- (+ x 1.0)) (- (* x x) (* 1.0 1.0)))) (* (- (+ x 1.0)) (* (- x 1.0) (- x 1.0))) (- (* 1 (- x 1.0)) (* (/ (+ x 1.0) x) (+ x 1.0))) (* (/ (+ x 1.0) x) (- x 1.0)) (- (* 1 (- (- x 1.0))) (* (/ (+ x 1.0) x) (- (+ x 1.0)))) (* (/ (+ x 1.0) x) (- (- x 1.0))) (- (* 1 (/ (- x 1.0) (+ x 1.0))) (* (/ (+ x 1.0) x) 1)) (* (/ (+ x 1.0) x) (/ (- x 1.0) (+ x 1.0))) (- (* 1 (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (/ (+ x 1.0) x) (+ (pow x 3) (pow 1.0 3)))) (* (/ (+ x 1.0) x) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (- (* 1 (* (- x 1.0) (- x 1.0))) (* (/ (+ x 1.0) x) (- (* x x) (* 1.0 1.0)))) (* (/ (+ x 1.0) x) (* (- x 1.0) (- x 1.0))) (- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3)) (+ (* (/ x (+ x 1.0)) (/ x (+ x 1.0))) (+ (* (/ (+ x 1.0) (- x 1.0)) (/ (+ x 1.0) (- x 1.0))) (* (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))))) (- (/ (+ x 1.0) (- x 1.0))) (- (* (/ x (+ x 1.0)) (/ x (+ x 1.0))) (* (/ (+ x 1.0) (- x 1.0)) (/ (+ x 1.0) (- x 1.0)))) (+ (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) (- (/ (+ x 1.0) (- x 1.0))) (- (+ x 1.0)) (- (- x 1.0)) (/ 1 (- x 1.0)) (/ (- x 1.0) (+ x 1.0)) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3))) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (- x 1.0) (- x 1.0)) (- x) (- (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) x) (/ x (+ (pow x 3) (pow 1.0 3))) (/ x (- (* x x) (* 1.0 1.0))) (+ (* 1.0 (pow x 2)) (+ (* 3.0 x) 1.0)) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 3.0 (/ 1 x)) (* 3.0 (/ 1 (pow x 3)))))) (- (+ (* 1.0 (/ 1 (pow x 2))) (+ (* 3.0 (/ 1 x)) (* 3.0 (/ 1 (pow x 3)))))) (- (+ (* 2.0 (pow x 2)) (+ (* 2.0 x) 1.0))) (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1)) (+ (* 2.0 (/ 1 (pow x 2))) (+ (* 2.0 (/ 1 x)) 1)) (- (+ (* 1.0 (pow x 3)) (* 1.0 x)) (* 1.0 (pow x 2))) (- (+ (* 1.0 (/ 1 (pow x 2))) 1) (* 1.0 (/ 1 x))) (- (+ (* 1.0 (/ 1 (pow x 2))) 1) (* 1.0 (/ 1 x))) 0.284 * * [simplify]: iteration 0 : 511 enodes (cost 672 ) 0.295 * * [simplify]: iteration 1 : 2649 enodes (cost 577 ) 0.349 * * [simplify]: iteration 2 : 5001 enodes (cost 573 ) 0.352 * [simplify]: Simplified to: (- (* x (/ 1 (+ x 1.0))) (/ (+ x 1.0) (- x 1.0))) (* (/ 1 (- x 1.0)) (+ (- (+ x 1.0)) (+ x 1.0))) (- (* x (/ 1 (+ x 1.0))) (/ (* (fma x x (fma 1.0 1.0 (* x 1.0))) (+ x 1.0)) (- (pow x 3) (pow 1.0 3)))) (* (fma x x (fma 1.0 1.0 (* x 1.0))) (+ (- (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3)))) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3))))) (fma x (/ 1 (+ x 1.0)) (- (* (+ x 1.0) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))))) (* (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))) (+ (- (+ x 1.0)) (+ x 1.0))) (- (/ (* x (fma 1.0 (- 1.0 x) (pow x 2))) (+ (pow x 3) (pow 1.0 3))) (/ (+ x 1.0) (- x 1.0))) (* (/ 1 (- x 1.0)) (+ (- (+ x 1.0)) (+ x 1.0))) (- (/ (* x (fma 1.0 (- 1.0 x) (pow x 2))) (+ (pow x 3) (pow 1.0 3))) (/ (* (fma x x (fma 1.0 1.0 (* x 1.0))) (+ x 1.0)) (- (pow x 3) (pow 1.0 3)))) (* (fma x x (fma 1.0 1.0 (* x 1.0))) (+ (- (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3)))) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3))))) (- (/ (* x (fma 1.0 (- 1.0 x) (pow x 2))) (+ (pow x 3) (pow 1.0 3))) (* (+ x 1.0) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))))) (* (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))) (+ (- (+ x 1.0)) (+ x 1.0))) (fma (/ x (- (* x x) (* 1.0 1.0))) (- x 1.0) (- (/ (+ x 1.0) (- x 1.0)))) (* (/ 1 (- x 1.0)) (+ (- (+ x 1.0)) (+ x 1.0))) (fma (/ x (- (* x x) (* 1.0 1.0))) (- x 1.0) (* (fma x x (fma 1.0 1.0 (* x 1.0))) (- (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3)))))) (* (fma x x (fma 1.0 1.0 (* x 1.0))) (+ (- (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3)))) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3))))) (fma (/ x (- (* x x) (* 1.0 1.0))) (- x 1.0) (- (* (+ x 1.0) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0)))))) (* (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))) (+ (- (+ x 1.0)) (+ x 1.0))) (- (/ (+ x 1.0) (- x 1.0))) (- (/ (+ x 1.0) (- x 1.0))) (- (/ (+ x 1.0) (- x 1.0))) (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)) (fma (- x) (- x 1.0) (* (+ x 1.0) (+ x 1.0))) (* (- (+ x 1.0)) (- x 1.0)) (fma x (/ (- x 1.0) (+ x 1.0)) (- (+ x 1.0))) (* (+ x 1.0) (/ (- x 1.0) (+ x 1.0))) (fma (* x (- x 1.0)) (fma 1.0 (- 1.0 x) (pow x 2)) (* (- (+ x 1.0)) (+ (pow x 3) (pow 1.0 3)))) (* (- (* x x) (* 1.0 1.0)) (fma 1.0 (- 1.0 x) (pow x 2))) (- (* x (* (- x 1.0) (- x 1.0))) (* (+ x 1.0) (- (* x x) (* 1.0 1.0)))) (* (+ x 1.0) (* (- x 1.0) (- x 1.0))) (fma (- x) (- x 1.0) (* (+ x 1.0) (+ x 1.0))) (* (- (+ x 1.0)) (- x 1.0)) (- (* x (- x 1.0)) (* (+ x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)) (fma (- x) (/ (- x 1.0) (+ x 1.0)) (+ x 1.0)) (* (- (+ x 1.0)) (/ (- x 1.0) (+ x 1.0))) (fma (- x) (* (fma 1.0 (- 1.0 x) (pow x 2)) (- x 1.0)) (* (+ x 1.0) (+ (pow x 3) (pow 1.0 3)))) (* (- (- (* x x) (* 1.0 1.0))) (fma 1.0 (- 1.0 x) (pow x 2))) (fma (- x) (* (- x 1.0) (- x 1.0)) (* (+ x 1.0) (- (* x x) (* 1.0 1.0)))) (* (- (+ x 1.0)) (* (- x 1.0) (- x 1.0))) (- x (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0)))) (* (/ (+ x 1.0) x) (- x 1.0)) (fma (/ (+ x 1.0) x) (+ x 1.0) (- (- x 1.0))) (* (/ (+ x 1.0) x) (- (- x 1.0))) (- (/ (- x 1.0) (+ x 1.0)) (/ (+ x 1.0) x)) (* (/ (+ x 1.0) x) (/ (- x 1.0) (+ x 1.0))) (fma (- x 1.0) (fma 1.0 (- 1.0 x) (pow x 2)) (- (* (/ (+ x 1.0) x) (+ (pow x 3) (pow 1.0 3))))) (* (* (/ (+ x 1.0) x) (- x 1.0)) (fma 1.0 (- 1.0 x) (pow x 2))) (fma (- x 1.0) (- x 1.0) (- (* (/ (+ x 1.0) x) (- (* x x) (* 1.0 1.0))))) (* (/ (+ x 1.0) x) (* (- x 1.0) (- x 1.0))) (- (pow (/ x (+ x 1.0)) 3) (pow (/ (+ x 1.0) (- x 1.0)) 3)) (fma (/ (+ x 1.0) (- x 1.0)) (+ (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) (* (/ x (+ x 1.0)) (/ x (+ x 1.0)))) (- (/ (+ x 1.0) (- x 1.0))) (- (* (/ x (+ x 1.0)) (/ x (+ x 1.0))) (* (/ (+ x 1.0) (- x 1.0)) (/ (+ x 1.0) (- x 1.0)))) (+ (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))) (- (/ (+ x 1.0) (- x 1.0))) (- (+ x 1.0)) (- (- x 1.0)) (/ 1 (- x 1.0)) (/ (- x 1.0) (+ x 1.0)) (/ (+ x 1.0) (- (pow x 3) (pow 1.0 3))) (/ (+ x 1.0) (- (* x x) (* 1.0 1.0))) (* (fma 1.0 (- 1.0 x) (pow x 2)) (- x 1.0)) (* (- x 1.0) (- x 1.0)) (- x) (- (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) x) (/ x (+ (pow x 3) (pow 1.0 3))) (/ x (- (* x x) (* 1.0 1.0))) (fma 1.0 (pow x 2) (fma 3.0 x 1.0)) (- (/ (- 1.0) (pow x 2)) (fma 3.0 (/ 1 x) (* 3.0 (/ 1 (pow x 3))))) (- (/ (- 1.0) (pow x 2)) (fma 3.0 (/ 1 x) (* 3.0 (/ 1 (pow x 3))))) (- (- (* 2.0 (pow x 2))) (fma 2.0 x 1.0)) (fma 2.0 (/ 1 (pow x 2)) (fma 2.0 (/ 1 x) 1)) (fma 2.0 (/ 1 (pow x 2)) (fma 2.0 (/ 1 x) 1)) (* 1.0 (- (+ (pow x 3) x) (pow x 2))) (fma 1.0 (/ 1 (pow x 2)) (- 1 (* 1.0 (/ 1 x)))) (fma 1.0 (/ 1 (pow x 2)) (- 1 (* 1.0 (/ 1 x)))) 0.353 * * * [progress]: adding candidates to table 0.491 * * [progress]: iteration 2 / 4 0.491 * * * [progress]: picking best candidate 0.498 * * * * [pick]: Picked # 0.498 * * * [progress]: localizing error 0.508 * * * [progress]: generating rewritten candidates 0.508 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.514 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.520 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.526 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.531 * * * [progress]: generating series expansions 0.531 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.532 * [approximate]: Taking taylor expansion of (- (+ 3.0 (* 1.0 (/ 1 x)))) in (x) around 0 0.532 * [taylor]: Taking taylor expansion of (- (+ 3.0 (* 1.0 (/ 1 x)))) in x 0.532 * [taylor]: Taking taylor expansion of (+ 3.0 (* 1.0 (/ 1 x))) in x 0.532 * [taylor]: Taking taylor expansion of 3.0 in x 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (- (+ 3.0 (* 1.0 (/ 1 x)))) in x 0.532 * [taylor]: Taking taylor expansion of (+ 3.0 (* 1.0 (/ 1 x))) in x 0.532 * [taylor]: Taking taylor expansion of 3.0 in x 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.546 * [approximate]: Taking taylor expansion of (- (+ 3.0 (* 1.0 x))) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (- (+ 3.0 (* 1.0 x))) in x 0.546 * [taylor]: Taking taylor expansion of (+ 3.0 (* 1.0 x)) in x 0.546 * [taylor]: Taking taylor expansion of 3.0 in x 0.546 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (- (+ 3.0 (* 1.0 x))) in x 0.546 * [taylor]: Taking taylor expansion of (+ 3.0 (* 1.0 x)) in x 0.546 * [taylor]: Taking taylor expansion of 3.0 in x 0.546 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.556 * [approximate]: Taking taylor expansion of (- (* 1.0 x) 3.0) in (x) around 0 0.556 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 3.0) in x 0.556 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.556 * [taylor]: Taking taylor expansion of 1.0 in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of 3.0 in x 0.557 * [taylor]: Taking taylor expansion of (- (* 1.0 x) 3.0) in x 0.557 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.557 * [taylor]: Taking taylor expansion of 1.0 in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of 3.0 in x 0.567 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.567 * [approximate]: Taking taylor expansion of (/ (* (- x 1.0) (+ x 1.0)) x) in (x) around 0 0.567 * [taylor]: Taking taylor expansion of (/ (* (- x 1.0) (+ x 1.0)) x) in x 0.567 * [taylor]: Taking taylor expansion of (* (- x 1.0) (+ x 1.0)) in x 0.567 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (/ (* (- x 1.0) (+ x 1.0)) x) in x 0.569 * [taylor]: Taking taylor expansion of (* (- x 1.0) (+ x 1.0)) in x 0.569 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.589 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) 1.0) (* x (+ 1.0 (/ 1 x)))) in (x) around 0 0.589 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) 1.0) (* x (+ 1.0 (/ 1 x)))) in x 0.589 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) 1.0) (* x (+ 1.0 (/ 1 x)))) in x 0.589 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.629 * [approximate]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (* (+ 1.0 (/ 1 x)) x)) in (x) around 0 0.629 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (* (+ 1.0 (/ 1 x)) x)) in x 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) x) in x 0.630 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (* (+ 1.0 (/ 1 x)) x)) in x 0.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) x) in x 0.630 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.665 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.665 * [approximate]: Taking taylor expansion of (/ (pow (+ x 1.0) 2) x) in (x) around 0 0.665 * [taylor]: Taking taylor expansion of (/ (pow (+ x 1.0) 2) x) in x 0.665 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 0.665 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (/ (pow (+ x 1.0) 2) x) in x 0.666 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 0.666 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.671 * [approximate]: Taking taylor expansion of (* x (pow (+ 1.0 (/ 1 x)) 2)) in (x) around 0 0.671 * [taylor]: Taking taylor expansion of (* x (pow (+ 1.0 (/ 1 x)) 2)) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 0.671 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of 1.0 in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (* x (pow (+ 1.0 (/ 1 x)) 2)) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 0.672 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.685 * [approximate]: Taking taylor expansion of (* -1 (* (pow (- 1.0 (/ 1 x)) 2) x)) in (x) around 0 0.685 * [taylor]: Taking taylor expansion of (* -1 (* (pow (- 1.0 (/ 1 x)) 2) x)) in x 0.685 * [taylor]: Taking taylor expansion of -1 in x 0.685 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 2) x) in x 0.685 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 0.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.685 * [taylor]: Taking taylor expansion of 1.0 in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (* -1 (* (pow (- 1.0 (/ 1 x)) 2) x)) in x 0.686 * [taylor]: Taking taylor expansion of -1 in x 0.686 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 2) x) in x 0.686 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 0.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of 1.0 in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.703 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.703 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) x) in (x) around 0 0.703 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) x) in x 0.703 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) x) in x 0.704 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.710 * [approximate]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in (x) around 0 0.710 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.710 * [taylor]: Taking taylor expansion of 1.0 in x 0.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.725 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (/ 1 x)) x)) in (x) around 0 0.725 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (/ 1 x)) x)) in x 0.725 * [taylor]: Taking taylor expansion of -1 in x 0.725 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (/ 1 x)) x)) in x 0.725 * [taylor]: Taking taylor expansion of -1 in x 0.725 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 0.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.725 * [taylor]: Taking taylor expansion of 1.0 in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.748 * * * [progress]: simplifying candidates 0.749 * [simplify]: Simplifying using # : (- (pow x 3) (pow (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0))) 3)) (+ (* x x) (+ (* (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0))) (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0)))) (* x (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0)))))) (- (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0)))) (- (* x x) (* (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0))) (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0))))) (+ x (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0)))) (- x 1.0) (- x (+ 1.0 (* (/ (+ x 1.0) x) x))) (- x (+ 1.0 (* (/ (+ x 1.0) x) 1.0))) (- x (+ 1.0 (* x (/ (+ x 1.0) x)))) (- x (+ 1.0 (* 1.0 (/ (+ x 1.0) x)))) (- x (* (/ (+ x 1.0) x) (+ x 1.0))) (- (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0)))) (* (+ x 1.0) (- (pow x 3) (pow 1.0 3))) (* x (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (* (+ x 1.0) (- (* x x) (* 1.0 1.0))) (* x (+ x 1.0)) (* (- (+ x 1.0)) (- (pow x 3) (pow 1.0 3))) (* (- x) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (* (- (+ x 1.0)) (- (* x x) (* 1.0 1.0))) (* (- x) (+ x 1.0)) (* 1 (- (pow x 3) (pow 1.0 3))) (* (/ x (+ x 1.0)) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (* 1 (- (* x x) (* 1.0 1.0))) (* (/ x (+ x 1.0)) (+ x 1.0)) (* (+ (pow x 3) (pow 1.0 3)) (- (pow x 3) (pow 1.0 3))) (* (* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- (pow x 3) (pow 1.0 3))) (* (* x (- x 1.0)) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))) (* (* x (- x 1.0)) (+ x 1.0)) (* (/ (+ x 1.0) x) x) (* (/ (+ x 1.0) x) (- 1.0)) (* (/ (+ x 1.0) x) x) (* (/ (+ x 1.0) x) (- 1.0)) (* x (/ (+ x 1.0) x)) (* (- 1.0) (/ (+ x 1.0) x)) (* x (/ (+ x 1.0) x)) (* (- 1.0) (/ (+ x 1.0) x)) (* (/ 1 x) (- x 1.0)) (* (/ (+ x 1.0) x) (- (pow x 3) (pow 1.0 3))) (* (/ (+ x 1.0) x) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (- x 1.0)) (* (- (+ x 1.0)) (- x 1.0)) (* 1 (- x 1.0)) (* (+ (pow x 3) (pow 1.0 3)) (- x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- x 1.0)) (* (+ x 1.0) (+ (pow x 3) (pow 1.0 3))) (* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (+ x 1.0) (- (* x x) (* 1.0 1.0))) (* x (- x 1.0)) (* (- (+ x 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (- (+ x 1.0)) (- (* x x) (* 1.0 1.0))) (* (- x) (- x 1.0)) (* 1 (+ (pow x 3) (pow 1.0 3))) (* (/ x (+ x 1.0)) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* 1 (- (* x x) (* 1.0 1.0))) (* (/ x (+ x 1.0)) (- x 1.0)) (* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3))) (* (* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (- x 1.0)) (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (* x (- x 1.0)) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))) (* (* x (- x 1.0)) (- x 1.0)) (* (/ (+ x 1.0) x) x) (* (/ (+ x 1.0) x) 1.0) (* (/ (+ x 1.0) x) 1.0) (* (/ (+ x 1.0) x) x) (* x (/ (+ x 1.0) x)) (* 1.0 (/ (+ x 1.0) x)) (* 1.0 (/ (+ x 1.0) x)) (* x (/ (+ x 1.0) x)) (* (/ 1 x) (+ x 1.0)) (* (/ (+ x 1.0) x) (+ (pow x 3) (pow 1.0 3))) (* (/ (+ x 1.0) x) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (+ x 1.0)) (* (- (+ x 1.0)) (+ x 1.0)) (* 1 (+ x 1.0)) (* (+ (pow x 3) (pow 1.0 3)) (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (- (+ x 1.0)) (- x) (/ 1 x) (/ x (+ x 1.0)) (* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* x (- x 1.0)) (- (+ (* 1.0 (/ 1 x)) 3.0)) (- (+ 3.0 (* 1.0 (/ 1 x)))) (- (+ 3.0 (* 1.0 (/ 1 x)))) (- x (* 1.0 (/ 1 x))) (- x (* 1.0 (/ 1 x))) (- x (* 1.0 (/ 1 x))) (+ 2.0 (+ x (* 1.0 (/ 1 x)))) (+ 2.0 (+ x (* 1.0 (/ 1 x)))) (+ 2.0 (+ x (* 1.0 (/ 1 x)))) (+ (* 1.0 (/ 1 x)) 1) (+ 1 (* 1.0 (/ 1 x))) (+ 1 (* 1.0 (/ 1 x))) 0.757 * * [simplify]: iteration 0 : 444 enodes (cost 464 ) 0.768 * * [simplify]: iteration 1 : 2571 enodes (cost 430 ) 0.812 * * [simplify]: iteration 2 : 5002 enodes (cost 422 ) 0.814 * [simplify]: Simplified to: (- (pow x 3) (pow (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0))) 3)) (fma x x (* (* (+ x 1.0) (+ 1 (/ (+ x 1.0) x))) (fma (/ (+ x 1.0) x) (+ x 1.0) 1.0))) (- (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0)))) (* (+ x (fma (/ (+ x 1.0) x) (+ x 1.0) 1.0)) (- x (fma (/ (+ x 1.0) x) (+ x 1.0) 1.0))) (* (+ x 1.0) (+ 1 (/ (+ x 1.0) x))) (- x 1.0) (fma 1 (- x 1.0) (- (+ x 1.0))) (- x (+ 1.0 (* 1.0 (/ (+ x 1.0) x)))) (fma 1 (- x 1.0) (- (+ x 1.0))) (- x (+ 1.0 (* 1.0 (/ (+ x 1.0) x)))) (- x (* (/ (+ x 1.0) x) (+ x 1.0))) (- (+ 1.0 (* (/ (+ x 1.0) x) (+ x 1.0)))) (* (+ x 1.0) (- (pow x 3) (pow 1.0 3))) (* (fma x x (fma 1.0 1.0 (* x 1.0))) x) (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (* x (+ x 1.0)) (* (- (+ x 1.0)) (- (pow x 3) (pow 1.0 3))) (* (fma x x (fma 1.0 1.0 (* x 1.0))) (- x)) (* (- (+ x 1.0)) (- (* x x) (* 1.0 1.0))) (* (- x) (+ x 1.0)) (- (pow x 3) (pow 1.0 3)) (* (fma x x (fma 1.0 1.0 (* x 1.0))) (/ x (+ x 1.0))) (- (* x x) (* 1.0 1.0)) x (* (+ (pow x 3) (pow 1.0 3)) (- (pow x 3) (pow 1.0 3))) (* (* (fma x x (fma 1.0 1.0 (* x 1.0))) x) (fma 1.0 (- 1.0 x) (* x x))) (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (* (+ x 1.0) x) (fma 1.0 (- 1.0 x) (* x x))) (* (- (* x x) (* 1.0 1.0)) (- (pow x 3) (pow 1.0 3))) (* x (* (- x 1.0) (fma x x (fma 1.0 1.0 (* x 1.0))))) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))) (* (* x (- x 1.0)) (+ x 1.0)) (+ x 1.0) (* (/ (+ x 1.0) x) (- 1.0)) (+ x 1.0) (* (/ (+ x 1.0) x) (- 1.0)) (+ x 1.0) (* (/ (+ x 1.0) x) (- 1.0)) (+ x 1.0) (* (/ (+ x 1.0) x) (- 1.0)) (/ (- x 1.0) x) (* (/ (+ x 1.0) x) (- (pow x 3) (pow 1.0 3))) (* (/ (+ x 1.0) x) (- (* x x) (* 1.0 1.0))) (- (* x x) (* 1.0 1.0)) (* (- (+ x 1.0)) (- x 1.0)) (- x 1.0) (* (+ (pow x 3) (pow 1.0 3)) (- x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- x 1.0)) (* (+ x 1.0) (+ (pow x 3) (pow 1.0 3))) (* (fma 1.0 (- 1.0 x) (* x x)) x) (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (* x (- x 1.0)) (* (- (+ x 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- (fma 1.0 (- 1.0 x) (* x x))) x) (* (- (+ x 1.0)) (- (* x x) (* 1.0 1.0))) (* (- x) (- x 1.0)) (+ (pow x 3) (pow 1.0 3)) (/ x (/ (+ x 1.0) (fma 1.0 (- 1.0 x) (* x x)))) (- (* x x) (* 1.0 1.0)) (* (/ x (+ x 1.0)) (- x 1.0)) (* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3))) (* x (* (fma x x (- (* 1.0 1.0) (* x 1.0))) (fma x x (- (* 1.0 1.0) (* x 1.0))))) (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (* (- x 1.0) x) (fma 1.0 (- 1.0 x) (* x x))) (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (* (- x 1.0) x) (fma 1.0 (- 1.0 x) (* x x))) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))) (* (* x (- x 1.0)) (- x 1.0)) (+ x 1.0) (* (/ (+ x 1.0) x) 1.0) (* (/ (+ x 1.0) x) 1.0) (+ x 1.0) (+ x 1.0) (* (/ (+ x 1.0) x) 1.0) (* (/ (+ x 1.0) x) 1.0) (+ x 1.0) (/ (+ x 1.0) x) (* (/ (+ x 1.0) x) (+ (pow x 3) (pow 1.0 3))) (* (/ (+ x 1.0) x) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (+ x 1.0)) (* (- (+ x 1.0)) (+ x 1.0)) (+ x 1.0) (* (+ x 1.0) (+ (pow x 3) (pow 1.0 3))) (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (- (+ x 1.0)) (- x) (/ 1 x) (/ x (+ x 1.0)) (* (fma 1.0 (- 1.0 x) (* x x)) x) (* x (- x 1.0)) (- (/ (- 1.0) x) 3.0) (- (/ (- 1.0) x) 3.0) (- (/ (- 1.0) x) 3.0) (- x (* 1.0 (/ 1 x))) (- x (* 1.0 (/ 1 x))) (- x (* 1.0 (/ 1 x))) (+ (/ 1.0 x) (+ 2.0 x)) (+ (/ 1.0 x) (+ 2.0 x)) (+ (/ 1.0 x) (+ 2.0 x)) (/ (+ x 1.0) x) (/ (+ x 1.0) x) (/ (+ x 1.0) x) 0.815 * * * [progress]: adding candidates to table 0.960 * * [progress]: iteration 3 / 4 0.960 * * * [progress]: picking best candidate 0.965 * * * * [pick]: Picked # 0.965 * * * [progress]: localizing error 0.975 * * * [progress]: generating rewritten candidates 0.975 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.981 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.985 * * * [progress]: generating series expansions 0.985 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.985 * [approximate]: Taking taylor expansion of (/ (* (- x 1.0) (+ x 1.0)) x) in (x) around 0 0.985 * [taylor]: Taking taylor expansion of (/ (* (- x 1.0) (+ x 1.0)) x) in x 0.985 * [taylor]: Taking taylor expansion of (* (- x 1.0) (+ x 1.0)) in x 0.985 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of (/ (* (- x 1.0) (+ x 1.0)) x) in x 0.988 * [taylor]: Taking taylor expansion of (* (- x 1.0) (+ x 1.0)) in x 0.988 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of 1.0 in x 0.988 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of 1.0 in x 0.988 * [taylor]: Taking taylor expansion of x in x 1.007 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) 1.0) (* x (+ 1.0 (/ 1 x)))) in (x) around 0 1.007 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) 1.0) (* x (+ 1.0 (/ 1 x)))) in x 1.007 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) 1.0) (* x (+ 1.0 (/ 1 x)))) in x 1.008 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.048 * [approximate]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (* (+ 1.0 (/ 1 x)) x)) in (x) around 0 1.048 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (* (+ 1.0 (/ 1 x)) x)) in x 1.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) x) in x 1.048 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (* (+ 1.0 (/ 1 x)) x)) in x 1.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) x) in x 1.049 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.049 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.084 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 1.084 * [approximate]: Taking taylor expansion of (/ (+ x 1.0) x) in (x) around 0 1.084 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) x) in x 1.084 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of 1.0 in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of (/ (+ x 1.0) x) in x 1.085 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.091 * [approximate]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in (x) around 0 1.092 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (* x (+ 1.0 (/ 1 x))) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.106 * [approximate]: Taking taylor expansion of (* -1 (* (- 1.0 (/ 1 x)) x)) in (x) around 0 1.106 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (/ 1 x)) x)) in x 1.106 * [taylor]: Taking taylor expansion of -1 in x 1.106 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 1.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (* -1 (* (- 1.0 (/ 1 x)) x)) in x 1.106 * [taylor]: Taking taylor expansion of -1 in x 1.106 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) x) in x 1.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.133 * * * [progress]: simplifying candidates 1.134 * [simplify]: Simplifying using # : (* (+ x 1.0) (- (pow x 3) (pow 1.0 3))) (* x (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (* (+ x 1.0) (- (* x x) (* 1.0 1.0))) (* x (+ x 1.0)) (* (- (+ x 1.0)) (- (pow x 3) (pow 1.0 3))) (* (- x) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (* (- (+ x 1.0)) (- (* x x) (* 1.0 1.0))) (* (- x) (+ x 1.0)) (* 1 (- (pow x 3) (pow 1.0 3))) (* (/ x (+ x 1.0)) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (* 1 (- (* x x) (* 1.0 1.0))) (* (/ x (+ x 1.0)) (+ x 1.0)) (* (+ (pow x 3) (pow 1.0 3)) (- (pow x 3) (pow 1.0 3))) (* (* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- (pow x 3) (pow 1.0 3))) (* (* x (- x 1.0)) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))) (* (* x (- x 1.0)) (+ x 1.0)) (* (/ (+ x 1.0) x) x) (* (/ (+ x 1.0) x) (- 1.0)) (* (/ (+ x 1.0) x) x) (* (/ (+ x 1.0) x) (- 1.0)) (* x (/ (+ x 1.0) x)) (* (- 1.0) (/ (+ x 1.0) x)) (* x (/ (+ x 1.0) x)) (* (- 1.0) (/ (+ x 1.0) x)) (* (/ 1 x) (- x 1.0)) (* (/ (+ x 1.0) x) (- (pow x 3) (pow 1.0 3))) (* (/ (+ x 1.0) x) (- (* x x) (* 1.0 1.0))) (* (+ x 1.0) (- x 1.0)) (* (- (+ x 1.0)) (- x 1.0)) (* 1 (- x 1.0)) (* (+ (pow x 3) (pow 1.0 3)) (- x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- x 1.0)) (- (+ x 1.0)) (- x) (/ 1 x) (/ x (+ x 1.0)) (* x (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* x (- x 1.0)) (- x (* 1.0 (/ 1 x))) (- x (* 1.0 (/ 1 x))) (- x (* 1.0 (/ 1 x))) (+ (* 1.0 (/ 1 x)) 1) (+ 1 (* 1.0 (/ 1 x))) (+ 1 (* 1.0 (/ 1 x))) 1.138 * * [simplify]: iteration 0 : 219 enodes (cost 194 ) 1.143 * * [simplify]: iteration 1 : 973 enodes (cost 192 ) 1.164 * * [simplify]: iteration 2 : 5001 enodes (cost 187 ) 1.166 * [simplify]: Simplified to: (* (+ x 1.0) (- (pow x 3) (pow 1.0 3))) (* (fma x x (fma 1.0 1.0 (* x 1.0))) x) (* (+ x 1.0) (- (* x x) (* 1.0 1.0))) (* x (+ x 1.0)) (* (- (+ x 1.0)) (- (pow x 3) (pow 1.0 3))) (* (fma x x (fma 1.0 1.0 (* x 1.0))) (- x)) (* (- (+ x 1.0)) (- (* x x) (* 1.0 1.0))) (* (- x) (+ x 1.0)) (- (pow x 3) (pow 1.0 3)) (* (fma x x (fma 1.0 1.0 (* x 1.0))) (/ x (+ x 1.0))) (- (* x x) (* 1.0 1.0)) x (* (+ (pow x 3) (pow 1.0 3)) (- (pow x 3) (pow 1.0 3))) (* (* (fma x x (fma 1.0 1.0 (* x 1.0))) x) (fma 1.0 (- 1.0 x) (* x x))) (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (* x (+ x 1.0)) (fma 1.0 (- 1.0 x) (* x x))) (* (- (* x x) (* 1.0 1.0)) (- (pow x 3) (pow 1.0 3))) (* x (* (- x 1.0) (fma x x (fma 1.0 1.0 (* x 1.0))))) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))) (* (* x (- x 1.0)) (+ x 1.0)) (* (/ (+ x 1.0) x) x) (* (/ (+ x 1.0) x) (- 1.0)) (* (/ (+ x 1.0) x) x) (* (/ (+ x 1.0) x) (- 1.0)) (* (/ (+ x 1.0) x) x) (* (/ (+ x 1.0) x) (- 1.0)) (* (/ (+ x 1.0) x) x) (* (/ (+ x 1.0) x) (- 1.0)) (/ (- x 1.0) x) (* (/ (+ x 1.0) x) (- (pow x 3) (pow 1.0 3))) (* (/ (+ x 1.0) x) (- (* x x) (* 1.0 1.0))) (- (* x x) (* 1.0 1.0)) (* (- (+ x 1.0)) (- x 1.0)) (- x 1.0) (* (+ (pow x 3) (pow 1.0 3)) (- x 1.0)) (* (- (* x x) (* 1.0 1.0)) (- x 1.0)) (- (+ x 1.0)) (- x) (/ 1 x) (/ x (+ x 1.0)) (fma x (* 1.0 (- 1.0 x)) (pow x 3)) (* x (- x 1.0)) (- x (* 1.0 (/ 1 x))) (- x (* 1.0 (/ 1 x))) (- x (* 1.0 (/ 1 x))) (fma 1.0 (/ 1 x) 1) (fma 1.0 (/ 1 x) 1) (fma 1.0 (/ 1 x) 1) 1.166 * * * [progress]: adding candidates to table 1.238 * * [progress]: iteration 4 / 4 1.238 * * * [progress]: picking best candidate 1.240 * * * * [pick]: Picked # 1.240 * * * [progress]: localizing error 1.249 * * * [progress]: generating rewritten candidates 1.249 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 1.251 * * * [progress]: generating series expansions 1.251 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 1.251 * [approximate]: Taking taylor expansion of (- x (* 1.0 (/ 1 x))) in (x) around 0 1.251 * [taylor]: Taking taylor expansion of (- x (* 1.0 (/ 1 x))) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of (- x (* 1.0 (/ 1 x))) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.270 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1.0 x)) in (x) around 0 1.270 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1.0 x)) in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.270 * [taylor]: Taking taylor expansion of 1.0 in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1.0 x)) in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.270 * [taylor]: Taking taylor expansion of 1.0 in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.285 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (/ 1 x)) in (x) around 0 1.285 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (/ 1 x)) in x 1.285 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.285 * [taylor]: Taking taylor expansion of 1.0 in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (/ 1 x)) in x 1.285 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.285 * [taylor]: Taking taylor expansion of 1.0 in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.299 * * * [progress]: simplifying candidates 1.299 * [simplify]: Simplifying using # : (- (pow x 3) (pow (* 1.0 (/ 1 x)) 3)) (+ (* x x) (+ (* (* 1.0 (/ 1 x)) (* 1.0 (/ 1 x))) (* x (* 1.0 (/ 1 x))))) (- (* 1.0 (/ 1 x))) (- (* x x) (* (* 1.0 (/ 1 x)) (* 1.0 (/ 1 x)))) (+ x (* 1.0 (/ 1 x))) (- (* 1.0 (/ 1 x))) (- x (* 1.0 (/ 1 x))) (- x (* 1.0 (/ 1 x))) (- x (* 1.0 (/ 1 x))) 1.302 * * [simplify]: iteration 0 : 60 enodes (cost 38 ) 1.304 * * [simplify]: iteration 1 : 196 enodes (cost 33 ) 1.309 * * [simplify]: iteration 2 : 781 enodes (cost 32 ) 1.325 * * [simplify]: iteration 3 : 3180 enodes (cost 26 ) 1.387 * * [simplify]: iteration 4 : 5001 enodes (cost 26 ) 1.388 * [simplify]: Simplified to: (- (pow x 3) (pow (* 1.0 (/ 1 x)) 3)) (fma x x (fma 1.0 (/ 1.0 (* x x)) 1.0)) (/ (- 1.0) x) (fma x x (/ (* (/ (- 1.0) x) 1.0) x)) (fma 1.0 (/ 1 x) x) (/ (- 1.0) x) (- x (/ 1.0 x)) (- x (/ 1.0 x)) (- x (/ 1.0 x)) 1.388 * * * [progress]: adding candidates to table 1.398 * [progress]: [Phase 3 of 3] Extracting. 1.398 * * [regime]: Finding splitpoints for: (# #) 1.399 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.399 * * * * [regimes]: Trying to branch on x from (# #) 1.411 * * * [regime]: Found split indices: #