31.107 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.068 * * * [progress]: [2/2] Setting up program. 0.070 * [progress]: [Phase 2 of 3] Improving. 0.071 * [simplify]: Simplifying using # : (/ (- (exp x) (exp (- x))) 2.0) 0.072 * * [simplify]: iteration 0 : 7 enodes (cost 8 ) 0.072 * * [simplify]: iteration 1 : 14 enodes (cost 8 ) 0.075 * * [simplify]: iteration 2 : 24 enodes (cost 8 ) 0.077 * * [simplify]: iteration 3 : 30 enodes (cost 8 ) 0.079 * * [simplify]: iteration 4 : 34 enodes (cost 8 ) 0.082 * * [simplify]: iteration done : 34 enodes (cost 8 ) 0.082 * [simplify]: Simplified to: (/ (- (exp x) (exp (- x))) 2.0) 0.082 * * [progress]: iteration 1 / 4 0.082 * * * [progress]: picking best candidate 0.084 * * * * [pick]: Picked # 0.084 * * * [progress]: localizing error 0.090 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.096 * * * [progress]: generating series expansions 0.096 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.097 * [approximate]: Taking taylor expansion of (- (exp x) (exp (- x))) in (x) around 0 0.097 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 0.097 * [taylor]: Taking taylor expansion of (exp x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.097 * [taylor]: Taking taylor expansion of (- x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (- (exp x) (exp (- x))) in x 0.097 * [taylor]: Taking taylor expansion of (exp x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.097 * [taylor]: Taking taylor expansion of (- x) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.122 * [approximate]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.122 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.122 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (- (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.123 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.123 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.127 * [approximate]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in (x) around 0 0.127 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.127 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.127 * [taylor]: Taking taylor expansion of -1 in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (- (exp (/ -1 x)) (exp (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.128 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.128 * [taylor]: Taking taylor expansion of -1 in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.131 * * * [progress]: simplifying candidates 0.132 * [simplify]: Simplifying using # : (/ (exp (exp x)) (exp (exp (- x)))) (log (- (exp x) (exp (- x)))) (exp (- (exp x) (exp (- x)))) (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (cbrt (- (exp x) (exp (- x)))) (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (- (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (+ (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (exp (- x))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))) (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))) (- (exp x) (exp (- x))) (- (exp (- x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (- x))) (- (exp x) (exp (* -1 x))) 0.133 * * [simplify]: iteration 0 : 46 enodes (cost 185 ) 0.144 * * [simplify]: iteration 1 : 102 enodes (cost 176 ) 0.161 * * [simplify]: iteration 2 : 231 enodes (cost 158 ) 0.214 * * [simplify]: iteration 3 : 504 enodes (cost 157 ) 0.466 * * [simplify]: iteration 4 : 1591 enodes (cost 157 ) 1.086 * * [simplify]: iteration done : 5000 enodes (cost 157 ) 1.086 * [simplify]: Simplified to: (exp (- (exp x) (exp (- x)))) (log (- (exp x) (exp (- x)))) (exp (- (exp x) (exp (- x)))) (* (cbrt (- (exp x) (exp (- x)))) (cbrt (- (exp x) (exp (- x))))) (cbrt (- (exp x) (exp (- x)))) (pow (- (exp x) (exp (- x))) 3) (sqrt (- (exp x) (exp (- x)))) (sqrt (- (exp x) (exp (- x)))) (- (pow (exp x) 3) (exp (* x -3))) (+ (+ (exp (+ x x)) 1) (exp (* x -2))) (- (exp (- x))) (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))) (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))) (- (exp x) (exp (- x))) (- (exp (- x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (- (exp x) (exp (- x))) (- (exp x) (exp (- x))) 1.086 * * * [progress]: adding candidates to table 1.123 * * [progress]: iteration 2 / 4 1.123 * * * [progress]: picking best candidate 1.125 * * * * [pick]: Picked # 1.125 * * * [progress]: localizing error 1.136 * * * [progress]: generating rewritten candidates 1.136 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.146 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 1.151 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.162 * * * [progress]: generating series expansions 1.163 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.163 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 1.163 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.163 * [taylor]: Taking taylor expansion of 1/3 in x 1.163 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.163 * [taylor]: Taking taylor expansion of 1/3 in x 1.163 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.175 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 1.175 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 1.175 * [taylor]: Taking taylor expansion of 1/3 in x 1.175 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 1.176 * [taylor]: Taking taylor expansion of 1/3 in x 1.176 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.187 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 1.187 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 1.187 * [taylor]: Taking taylor expansion of -1/3 in x 1.187 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.187 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 1.187 * [taylor]: Taking taylor expansion of -1/3 in x 1.187 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.198 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 1.198 * [approximate]: Taking taylor expansion of (* 1/60 (pow x 5)) in (x) around 0 1.198 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 1.198 * [taylor]: Taking taylor expansion of 1/60 in x 1.198 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.198 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 1.198 * [taylor]: Taking taylor expansion of 1/60 in x 1.198 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.214 * [approximate]: Taking taylor expansion of (/ 1/60 (pow x 5)) in (x) around 0 1.214 * [taylor]: Taking taylor expansion of (/ 1/60 (pow x 5)) in x 1.214 * [taylor]: Taking taylor expansion of 1/60 in x 1.214 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.215 * [taylor]: Taking taylor expansion of (/ 1/60 (pow x 5)) in x 1.215 * [taylor]: Taking taylor expansion of 1/60 in x 1.215 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.215 * [taylor]: Taking taylor expansion of x in x 1.235 * [approximate]: Taking taylor expansion of (/ -1/60 (pow x 5)) in (x) around 0 1.235 * [taylor]: Taking taylor expansion of (/ -1/60 (pow x 5)) in x 1.235 * [taylor]: Taking taylor expansion of -1/60 in x 1.235 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.236 * [taylor]: Taking taylor expansion of (/ -1/60 (pow x 5)) in x 1.236 * [taylor]: Taking taylor expansion of -1/60 in x 1.236 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.251 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.251 * [approximate]: Taking taylor expansion of (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) in (x) around 0 1.251 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) in x 1.251 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.251 * [taylor]: Taking taylor expansion of 1/3 in x 1.251 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (+ (* 1/60 (pow x 5)) (* 2 x)) in x 1.251 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 1.251 * [taylor]: Taking taylor expansion of 1/60 in x 1.251 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.251 * [taylor]: Taking taylor expansion of 2 in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) in x 1.252 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 1.252 * [taylor]: Taking taylor expansion of 1/3 in x 1.252 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of (+ (* 1/60 (pow x 5)) (* 2 x)) in x 1.252 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 1.252 * [taylor]: Taking taylor expansion of 1/60 in x 1.252 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.252 * [taylor]: Taking taylor expansion of 2 in x 1.252 * [taylor]: Taking taylor expansion of x in x 1.263 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in (x) around 0 1.263 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 1.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.263 * [taylor]: Taking taylor expansion of 2 in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 1.263 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 1.263 * [taylor]: Taking taylor expansion of 1/60 in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.263 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.264 * [taylor]: Taking taylor expansion of 1/3 in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.264 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 1.265 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.265 * [taylor]: Taking taylor expansion of 2 in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 1.265 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 1.265 * [taylor]: Taking taylor expansion of 1/60 in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.266 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.266 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.267 * [taylor]: Taking taylor expansion of 1/3 in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.267 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.284 * [approximate]: Taking taylor expansion of (- (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))))) in (x) around 0 1.284 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))))) in x 1.284 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 1.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.284 * [taylor]: Taking taylor expansion of 2 in x 1.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 1.285 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 1.285 * [taylor]: Taking taylor expansion of 1/60 in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.285 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.286 * [taylor]: Taking taylor expansion of 1/3 in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.286 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.287 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))))) in x 1.287 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3))))) in x 1.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.287 * [taylor]: Taking taylor expansion of 2 in x 1.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.287 * [taylor]: Taking taylor expansion of (+ (* 1/60 (/ 1 (pow x 5))) (* 1/3 (/ 1 (pow x 3)))) in x 1.287 * [taylor]: Taking taylor expansion of (* 1/60 (/ 1 (pow x 5))) in x 1.287 * [taylor]: Taking taylor expansion of 1/60 in x 1.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x 1.287 * [taylor]: Taking taylor expansion of (pow x 5) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (* 1/3 (/ 1 (pow x 3))) in x 1.288 * [taylor]: Taking taylor expansion of 1/3 in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.288 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.312 * * * [progress]: simplifying candidates 1.313 * [simplify]: Simplifying using # : (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (log (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (* (* (* 1/3 1/3) 1/3) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (* (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x (/ 3 2))) (* (sqrt 1/3) (pow x (/ 3 2))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 (* x x)) (* 1/3 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 x) (* 1/3 (sqrt (pow x 3))) (* 1/3 1) (* 1/3 (pow x (/ 3 2))) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (+ (log 1/60) (* (log x) 5)) (+ (log 1/60) (* (log x) 5)) (+ (log 1/60) (log (pow x 5))) (log (* 1/60 (pow x 5))) (exp (* 1/60 (pow x 5))) (* (* (* 1/60 1/60) 1/60) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 1/60 (pow x 5))) (cbrt (* 1/60 (pow x 5)))) (cbrt (* 1/60 (pow x 5))) (* (* (* 1/60 (pow x 5)) (* 1/60 (pow x 5))) (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (pow x (/ 5 2))) (* (sqrt 1/60) (pow x (/ 5 2))) (* 1/60 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/60 (pow (sqrt x) 5)) (* 1/60 (pow 1 5)) (* 1/60 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/60 (sqrt (pow x 5))) (* 1/60 1) (* 1/60 (pow x (/ 5 2))) (* (cbrt 1/60) (pow x 5)) (* (sqrt 1/60) (pow x 5)) (* 1/60 (pow x 5)) (* (exp (* 1/3 (pow x 3))) (* (exp (* 1/60 (pow x 5))) (exp (* 2 x)))) (* (exp (* 1/3 (pow x 3))) (exp (+ (* 1/60 (pow x 5)) (* 2 x)))) (log (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (exp (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (* (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (* (* (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sqrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sqrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (+ (pow (* 1/3 (pow x 3)) 3) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3)) (+ (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (- (* (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/60 (pow x 5)) (* 2 x))) (* (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))) (- (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (- (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) 1.316 * * [simplify]: iteration 0 : 122 enodes (cost 847 ) 1.349 * * [simplify]: iteration 1 : 309 enodes (cost 750 ) 1.427 * * [simplify]: iteration 2 : 915 enodes (cost 704 ) 1.742 * * [simplify]: iteration 3 : 4449 enodes (cost 703 ) 3.334 * * [simplify]: iteration done : 5000 enodes (cost 703 ) 3.335 * [simplify]: Simplified to: (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (cbrt (exp (pow x 3))) (* (pow (pow x 3) 3) 1/27) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (* (pow (pow x 3) 3) 1/27) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x 3/2)) (* (sqrt 1/3) (pow x 3/2)) (* x (* 1/3 x)) (* 1/3 (pow (sqrt x) 3)) 1/3 (* x (* 1/3 x)) (* x (* 1/3 x)) (* x (* 1/3 x)) (* 1/3 (pow (sqrt x) 3)) 1/3 (* 1/3 x) (* 1/3 (sqrt (pow x 3))) 1/3 (* 1/3 (pow x 3/2)) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (exp (* 1/60 (pow x 5))) (pow (* 1/60 (pow x 5)) 3) (* (cbrt (* 1/60 (pow x 5))) (cbrt (* 1/60 (pow x 5)))) (cbrt (* 1/60 (pow x 5))) (pow (* 1/60 (pow x 5)) 3) (sqrt (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (pow x 5/2)) (* (sqrt 1/60) (pow x 5/2)) (* 1/60 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/60 (pow (sqrt x) 5)) 1/60 (* 1/60 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/60 (sqrt (pow x 5))) 1/60 (* (pow x 5/2) 1/60) (* (cbrt 1/60) (pow x 5)) (* (sqrt 1/60) (pow x 5)) (* 1/60 (pow x 5)) (exp (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))) (exp (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))) (log (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (exp (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))) (* (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (pow (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) 3) (sqrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (sqrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (+ (pow (* 1/3 (pow x 3)) 3) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3)) (+ (* (+ (* 1/60 (pow x 5)) (* 2 x)) (- (+ (* 1/60 (pow x 5)) (* 2 x)) (* 1/3 (pow x 3)))) (* 1/9 (pow x 6))) (- (* 1/9 (pow x 6)) (* (+ (* 1/60 (pow x 5)) (* 2 x)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (- (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) (+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))) 3.335 * * * [progress]: adding candidates to table 3.508 * * [progress]: iteration 3 / 4 3.508 * * * [progress]: picking best candidate 3.510 * * * * [pick]: Picked # 3.510 * * * [progress]: localizing error 3.520 * * * [progress]: generating rewritten candidates 3.520 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 1) 3.527 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1 2) 3.534 * * * [progress]: generating series expansions 3.534 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 1) 3.534 * [approximate]: Taking taylor expansion of (* 1/3 (pow x 3)) in (x) around 0 3.534 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 3.534 * [taylor]: Taking taylor expansion of 1/3 in x 3.534 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.534 * [taylor]: Taking taylor expansion of x in x 3.534 * [taylor]: Taking taylor expansion of (* 1/3 (pow x 3)) in x 3.534 * [taylor]: Taking taylor expansion of 1/3 in x 3.534 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.534 * [taylor]: Taking taylor expansion of x in x 3.546 * [approximate]: Taking taylor expansion of (/ 1/3 (pow x 3)) in (x) around 0 3.546 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 3.546 * [taylor]: Taking taylor expansion of 1/3 in x 3.546 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.546 * [taylor]: Taking taylor expansion of x in x 3.546 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 3.547 * [taylor]: Taking taylor expansion of 1/3 in x 3.547 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.547 * [taylor]: Taking taylor expansion of x in x 3.557 * [approximate]: Taking taylor expansion of (/ -1/3 (pow x 3)) in (x) around 0 3.557 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 3.557 * [taylor]: Taking taylor expansion of -1/3 in x 3.557 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.557 * [taylor]: Taking taylor expansion of x in x 3.558 * [taylor]: Taking taylor expansion of (/ -1/3 (pow x 3)) in x 3.558 * [taylor]: Taking taylor expansion of -1/3 in x 3.558 * [taylor]: Taking taylor expansion of (pow x 3) in x 3.558 * [taylor]: Taking taylor expansion of x in x 3.569 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1 2) 3.569 * [approximate]: Taking taylor expansion of (* 1/60 (pow x 5)) in (x) around 0 3.569 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 3.569 * [taylor]: Taking taylor expansion of 1/60 in x 3.569 * [taylor]: Taking taylor expansion of (pow x 5) in x 3.569 * [taylor]: Taking taylor expansion of x in x 3.569 * [taylor]: Taking taylor expansion of (* 1/60 (pow x 5)) in x 3.569 * [taylor]: Taking taylor expansion of 1/60 in x 3.569 * [taylor]: Taking taylor expansion of (pow x 5) in x 3.569 * [taylor]: Taking taylor expansion of x in x 3.588 * [approximate]: Taking taylor expansion of (/ 1/60 (pow x 5)) in (x) around 0 3.588 * [taylor]: Taking taylor expansion of (/ 1/60 (pow x 5)) in x 3.588 * [taylor]: Taking taylor expansion of 1/60 in x 3.588 * [taylor]: Taking taylor expansion of (pow x 5) in x 3.589 * [taylor]: Taking taylor expansion of x in x 3.589 * [taylor]: Taking taylor expansion of (/ 1/60 (pow x 5)) in x 3.589 * [taylor]: Taking taylor expansion of 1/60 in x 3.590 * [taylor]: Taking taylor expansion of (pow x 5) in x 3.590 * [taylor]: Taking taylor expansion of x in x 3.604 * [approximate]: Taking taylor expansion of (/ -1/60 (pow x 5)) in (x) around 0 3.604 * [taylor]: Taking taylor expansion of (/ -1/60 (pow x 5)) in x 3.604 * [taylor]: Taking taylor expansion of -1/60 in x 3.604 * [taylor]: Taking taylor expansion of (pow x 5) in x 3.604 * [taylor]: Taking taylor expansion of x in x 3.605 * [taylor]: Taking taylor expansion of (/ -1/60 (pow x 5)) in x 3.605 * [taylor]: Taking taylor expansion of -1/60 in x 3.605 * [taylor]: Taking taylor expansion of (pow x 5) in x 3.605 * [taylor]: Taking taylor expansion of x in x 3.620 * * * [progress]: simplifying candidates 3.620 * [simplify]: Simplifying using # : (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (* (log x) 3)) (+ (log 1/3) (log (pow x 3))) (log (* 1/3 (pow x 3))) (exp (* 1/3 (pow x 3))) (* (* (* 1/3 1/3) 1/3) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (* (* (* 1/3 (pow x 3)) (* 1/3 (pow x 3))) (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x (/ 3 2))) (* (sqrt 1/3) (pow x (/ 3 2))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 (* x x)) (* 1/3 (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (* 1/3 (pow (* (cbrt x) (cbrt x)) 3)) (* 1/3 (pow (sqrt x) 3)) (* 1/3 (pow 1 3)) (* 1/3 x) (* 1/3 (sqrt (pow x 3))) (* 1/3 1) (* 1/3 (pow x (/ 3 2))) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (+ (log 1/60) (* (log x) 5)) (+ (log 1/60) (* (log x) 5)) (+ (log 1/60) (log (pow x 5))) (log (* 1/60 (pow x 5))) (exp (* 1/60 (pow x 5))) (* (* (* 1/60 1/60) 1/60) (* (* (pow x 5) (pow x 5)) (pow x 5))) (* (cbrt (* 1/60 (pow x 5))) (cbrt (* 1/60 (pow x 5)))) (cbrt (* 1/60 (pow x 5))) (* (* (* 1/60 (pow x 5)) (* 1/60 (pow x 5))) (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (pow x (/ 5 2))) (* (sqrt 1/60) (pow x (/ 5 2))) (* 1/60 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/60 (pow (sqrt x) 5)) (* 1/60 (pow 1 5)) (* 1/60 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/60 (sqrt (pow x 5))) (* 1/60 1) (* 1/60 (pow x (/ 5 2))) (* (cbrt 1/60) (pow x 5)) (* (sqrt 1/60) (pow x 5)) (* 1/60 (pow x 5)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) 3.623 * * [simplify]: iteration 0 : 96 enodes (cost 484 ) 3.653 * * [simplify]: iteration 1 : 217 enodes (cost 416 ) 3.703 * * [simplify]: iteration 2 : 550 enodes (cost 396 ) 3.872 * * [simplify]: iteration 3 : 2156 enodes (cost 395 ) 4.784 * * [simplify]: iteration done : 5000 enodes (cost 395 ) 4.785 * [simplify]: Simplified to: (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (log (* 1/3 (pow x 3))) (cbrt (exp (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (* (cbrt (* 1/3 (pow x 3))) (cbrt (* 1/3 (pow x 3)))) (cbrt (* 1/3 (pow x 3))) (pow (* 1/3 (pow x 3)) 3) (sqrt (* 1/3 (pow x 3))) (sqrt (* 1/3 (pow x 3))) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (pow (sqrt x) 3)) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (sqrt (pow x 3))) (* (sqrt 1/3) (pow x 3/2)) (* (sqrt 1/3) (pow x 3/2)) (* x (* 1/3 x)) (* 1/3 (pow (sqrt x) 3)) 1/3 (* x (* 1/3 x)) (* x (* 1/3 x)) (* x (* 1/3 x)) (* 1/3 (pow (sqrt x) 3)) 1/3 (* 1/3 x) (* 1/3 (sqrt (pow x 3))) 1/3 (* 1/3 (pow x 3/2)) (* (cbrt 1/3) (pow x 3)) (* (sqrt 1/3) (pow x 3)) (* 1/3 (pow x 3)) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (log (* 1/60 (pow x 5))) (exp (* 1/60 (pow x 5))) (pow (* 1/60 (pow x 5)) 3) (* (cbrt (* 1/60 (pow x 5))) (cbrt (* 1/60 (pow x 5)))) (cbrt (* 1/60 (pow x 5))) (pow (* 1/60 (pow x 5)) 3) (sqrt (* 1/60 (pow x 5))) (sqrt (* 1/60 (pow x 5))) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (pow (sqrt x) 5)) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (sqrt (pow x 5))) (* (sqrt 1/60) (pow x 5/2)) (* (sqrt 1/60) (pow x 5/2)) (* 1/60 (pow (* (cbrt x) (cbrt x)) 5)) (* 1/60 (pow (sqrt x) 5)) 1/60 (* 1/60 (* (cbrt (pow x 5)) (cbrt (pow x 5)))) (* 1/60 (sqrt (pow x 5))) 1/60 (* (pow x 5/2) 1/60) (* (cbrt 1/60) (pow x 5)) (* (sqrt 1/60) (pow x 5)) (* 1/60 (pow x 5)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/3 (pow x 3)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) (* 1/60 (pow x 5)) 4.785 * * * [progress]: adding candidates to table 4.913 * [progress]: [Phase 3 of 3] Extracting. 4.915 * [simplify]: Simplifying using # : (/ (+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x)) 2.0) 4.915 * * [simplify]: iteration 0 : 15 enodes (cost 17 ) 4.916 * * [simplify]: iteration 1 : 20 enodes (cost 17 ) 4.916 * * [simplify]: iteration done : 20 enodes (cost 17 ) 4.916 * [simplify]: Simplified to: (/ (+ (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))) (* 2 x)) 2.0) 6.959 * [regime-testing]: End program error score: 0.6470585016604684