8.527 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.009 * * * [progress]: [2/2] Setting up program. 0.010 * [progress]: [Phase 2 of 3] Improving. 0.010 * [simplify]: Simplifying using # : (+ x (* x x)) 0.012 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.014 * * [simplify]: iteration 1 : 11 enodes (cost 2 ) 0.015 * * [simplify]: iteration 2 : 17 enodes (cost 2 ) 0.016 * * [simplify]: iteration 3 : 17 enodes (cost 2 ) 0.016 * [simplify]: Simplified to: (+ x (* x x)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.023 * * * [progress]: generating series expansions 0.023 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.023 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 0.023 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.023 * [taylor]: Taking taylor expansion of x in x 0.023 * [taylor]: Taking taylor expansion of x in x 0.023 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.023 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.023 * [taylor]: Taking taylor expansion of x in x 0.023 * [taylor]: Taking taylor expansion of x in x 0.029 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.029 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.042 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.042 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.060 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying using # : (* (exp x) (exp (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 3) (pow (* x x) 3)) (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))) (- (* x x) (* (* x x) (* x x))) (- x (* x x)) (+ 1 x) (+ x 1) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.063 * * [simplify]: iteration 0 : 79 enodes (cost 58 ) 0.065 * * [simplify]: iteration 1 : 324 enodes (cost 50 ) 0.071 * * [simplify]: iteration 2 : 1105 enodes (cost 50 ) 0.100 * * [simplify]: iteration 3 : 5001 enodes (cost 50 ) 0.101 * [simplify]: Simplified to: (exp (+ x (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (pow (+ x (* x x)) 3) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 3) (pow (* x x) 3)) (- (+ (pow x 2) (pow x 4)) (pow x 3)) (* x (- x (pow x 3))) (- x (* x x)) (+ 1 x) (+ 1 x) (+ x (* x x)) (+ x (* x x)) (+ x (* x x)) 0.101 * * * [progress]: adding candidates to table 0.121 * * [progress]: iteration 2 / 4 0.122 * * * [progress]: picking best candidate 0.123 * * * * [pick]: Picked # 0.123 * * * [progress]: localizing error 0.128 * * * [progress]: generating rewritten candidates 0.128 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.138 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.140 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.143 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.151 * * * [progress]: generating series expansions 0.151 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.151 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 0.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.157 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.171 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.186 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.187 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.193 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.206 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.229 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.229 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 0.229 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.242 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.260 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.260 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.276 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.276 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) x)) in (x) around 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) x)) in x 0.276 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) x)) in x 0.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.285 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in x 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in x 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.292 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in (x) around 0 0.292 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in x 0.293 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in x 0.295 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.301 * * * [progress]: simplifying candidates 0.302 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ x (* x x)) (+ x (* x x))) (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x)))) (* (+ x (* x x)) (+ x (* x x))) (+ 1 1) (+ (log (sqrt (+ x (* x x)))) (log (sqrt (+ x (* x x))))) (log (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x))))) (exp (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x))))) (* (* (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x)))) (sqrt (+ x (* x x)))) (* (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x)))) (sqrt (+ x (* x x))))) (* (cbrt (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x))))) (cbrt (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x)))))) (cbrt (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x))))) (* (* (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x)))) (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x))))) (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x))))) (* (+ x (* x x)) (+ x (* x x))) (sqrt (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x))))) (sqrt (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x))))) (* (sqrt (+ (pow x 3) (pow (* x x) 3))) (sqrt (+ (pow x 3) (pow (* x x) 3)))) (* (sqrt (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x))))) (sqrt (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))))) (* (sqrt (+ (pow x 3) (pow (* x x) 3))) (sqrt (- (* x x) (* (* x x) (* x x))))) (* (sqrt (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x))))) (sqrt (- x (* x x)))) (* (sqrt (- (* x x) (* (* x x) (* x x)))) (sqrt (+ (pow x 3) (pow (* x x) 3)))) (* (sqrt (- x (* x x))) (sqrt (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))))) (* (sqrt (- (* x x) (* (* x x) (* x x)))) (sqrt (- (* x x) (* (* x x) (* x x))))) (* (sqrt (- x (* x x))) (sqrt (- x (* x x)))) (* (* (cbrt (sqrt (+ x (* x x)))) (cbrt (sqrt (+ x (* x x))))) (* (cbrt (sqrt (+ x (* x x)))) (cbrt (sqrt (+ x (* x x)))))) (* (cbrt (sqrt (+ x (* x x)))) (cbrt (sqrt (+ x (* x x))))) (* (sqrt (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x))))) (sqrt (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))))) (* (sqrt (cbrt (+ x (* x x)))) (sqrt (cbrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x)))) (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt (+ x 1)) (sqrt (+ x 1))) (* (sqrt x) (sqrt x)) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* 1 1) (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x)))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ x (* x x))) (* (cbrt (sqrt (+ x (* x x)))) (cbrt (sqrt (+ x (* x x)))))) (* (sqrt (+ x (* x x))) (sqrt (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))))) (* (sqrt (+ x (* x x))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (+ x (* x x))) (sqrt 1)) (* (sqrt (+ x (* x x))) (sqrt x)) (* (sqrt (+ x (* x x))) (sqrt (+ x 1))) (* (sqrt (+ x (* x x))) (sqrt (sqrt (+ x (* x x))))) (* (sqrt (+ x (* x x))) 1) (* (cbrt (sqrt (+ x (* x x)))) (sqrt (+ x (* x x)))) (* (sqrt (cbrt (+ x (* x x)))) (sqrt (+ x (* x x)))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (+ x (* x x)))) (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x)))) (* (sqrt (+ 1 x)) (sqrt (+ x (* x x)))) (* (sqrt x) (sqrt (+ x (* x x)))) (* (sqrt (sqrt (+ x (* x x)))) (sqrt (+ x (* x x)))) (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x)))) (* (sqrt (+ x (* x x))) (sqrt (+ (pow x 3) (pow (* x x) 3)))) (* (sqrt (+ x (* x x))) (sqrt (- (* x x) (* (* x x) (* x x))))) (* (sqrt (+ (pow x 3) (pow (* x x) 3))) (sqrt (+ x (* x x)))) (* (sqrt (- (* x x) (* (* x x) (* x x)))) (sqrt (+ x (* x x)))) (* (exp x) (exp (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 3) (pow (* x x) 3)) (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))) (- (* x x) (* (* x x) (* x x))) (- x (* x x)) (+ 1 x) (+ x 1) (* (exp x) (exp (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (* (* (+ x (* x x)) (+ x (* x x))) (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 3) (pow (* x x) 3)) (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x)))) (- (* x x) (* (* x x) (* x x))) (- x (* x x)) (+ 1 x) (+ x 1) (log (sqrt (+ x (* x x)))) (exp (sqrt (+ x (* x x)))) (* (cbrt (sqrt (+ x (* x x)))) (cbrt (sqrt (+ x (* x x))))) (cbrt (sqrt (+ x (* x x)))) (* (* (sqrt (+ x (* x x))) (sqrt (+ x (* x x)))) (sqrt (+ x (* x x)))) (sqrt (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x))))) (sqrt (cbrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x)))) (sqrt 1) (sqrt (+ x (* x x))) (sqrt x) (sqrt (+ 1 x)) (sqrt (+ x 1)) (sqrt x) (sqrt (+ (pow x 3) (pow (* x x) 3))) (sqrt (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x))))) (sqrt (- (* x x) (* (* x x) (* x x)))) (sqrt (- x (* x x))) (/ 1 2) (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x)))) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (+ 1/2 x) (* 1/8 (/ 1 x))) (- (* 1/8 (/ 1 x)) (+ 1/2 x)) 0.309 * * [simplify]: iteration 0 : 226 enodes (cost 582 ) 0.318 * * [simplify]: iteration 1 : 1058 enodes (cost 522 ) 0.352 * * [simplify]: iteration 2 : 5002 enodes (cost 507 ) 0.355 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ x (* x x))) 4) (+ x (* x x)) (pow (sqrt (+ x (* x x))) 4) 2 (log (+ x (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (pow (+ x (* x x)) 3) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (pow (+ x (* x x)) 3) (pow (sqrt (+ x (* x x))) 4) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 3) (pow (* x x) 3)) (- (+ (pow x 2) (pow x 4)) (pow x 3)) (* (sqrt (+ (pow x 3) (pow (* x x) 3))) (sqrt (- (* x x) (* (* x x) (* x x))))) (* (sqrt (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x))))) (sqrt (- x (* x x)))) (* (sqrt (+ (pow x 3) (pow (* x x) 3))) (sqrt (- (* x x) (* (* x x) (* x x))))) (* (sqrt (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x))))) (sqrt (- x (* x x)))) (* x (- x (pow x 3))) (- x (* x x)) (pow (cbrt (sqrt (+ x (* x x)))) 4) (* (cbrt (sqrt (+ x (* x x)))) (cbrt (sqrt (+ x (* x x))))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) 1 (+ x (* x x)) x (+ 1 x) (+ 1 x) x (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) 1 (+ x (* x x)) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) 1 2 1 (* (pow (cbrt (sqrt (+ x (* x x)))) 4) (cbrt (sqrt (+ x (* x x))))) (* (fabs (cbrt (+ x (* x x)))) (sqrt (+ x (* x x)))) (pow (sqrt (sqrt (+ x (* x x)))) 3) (sqrt (+ x (* x x))) (* (sqrt (+ x (* x x))) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt (+ x (* x x)))) (pow (sqrt (sqrt (+ x (* x x)))) 3) (sqrt (+ x (* x x))) (pow (cbrt (sqrt (+ x (* x x)))) 4) (* (sqrt (cbrt (+ x (* x x)))) (sqrt (+ x (* x x)))) (pow (sqrt (sqrt (+ x (* x x)))) 3) (+ x (* x x)) (* (sqrt (+ 1 x)) (sqrt (+ x (* x x)))) (* (sqrt (+ x (* x x))) (sqrt x)) (pow (sqrt (sqrt (+ x (* x x)))) 3) (+ x (* x x)) (* (sqrt (+ x (* x x))) (sqrt (+ (pow x 3) (pow (* x x) 3)))) (* (sqrt (+ x (* x x))) (sqrt (- (* x x) (* (* x x) (* x x))))) (* (sqrt (+ x (* x x))) (sqrt (+ (pow x 3) (pow (* x x) 3)))) (* (sqrt (+ x (* x x))) (sqrt (- (* x x) (* (* x x) (* x x))))) (exp (+ x (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (pow (+ x (* x x)) 3) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 3) (pow (* x x) 3)) (- (+ (pow x 2) (pow x 4)) (pow x 3)) (* x (- x (pow x 3))) (- x (* x x)) (+ 1 x) (+ 1 x) (exp (+ x (* x x))) (log (+ x (* x x))) (exp (+ x (* x x))) (* (cbrt (+ x (* x x))) (cbrt (+ x (* x x)))) (cbrt (+ x (* x x))) (pow (+ x (* x x)) 3) (sqrt (+ x (* x x))) (sqrt (+ x (* x x))) (+ (pow x 3) (pow (* x x) 3)) (- (+ (pow x 2) (pow x 4)) (pow x 3)) (* x (- x (pow x 3))) (- x (* x x)) (+ 1 x) (+ 1 x) (log (sqrt (+ x (* x x)))) (exp (sqrt (+ x (* x x)))) (* (cbrt (sqrt (+ x (* x x)))) (cbrt (sqrt (+ x (* x x))))) (cbrt (sqrt (+ x (* x x)))) (pow (sqrt (+ x (* x x))) 3) (fabs (cbrt (+ x (* x x)))) (sqrt (cbrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x)))) 1 (sqrt (+ x (* x x))) (sqrt x) (sqrt (+ x 1)) (sqrt (+ x 1)) (sqrt x) (sqrt (+ (pow x 3) (pow (* x x) 3))) (sqrt (+ (* x x) (- (* (* x x) (* x x)) (* x (* x x))))) (sqrt (- (* x x) (* (* x x) (* x x)))) (sqrt (- x (* x x))) 1/2 (sqrt (sqrt (+ x (* x x)))) (sqrt (sqrt (+ x (* x x)))) (+ x (* x x)) (+ x (* x x)) (+ x (* x x)) (+ x (* x x)) (+ x (* x x)) (+ x (* x x)) (+ x (* x x)) (+ x (* x x)) (+ x (* x x)) (* +nan.0 (+ (- (pow x 2)) (- (pow x 3) x))) (- (+ 1/2 x) (/ 1/8 x)) (- (- (/ 1/8 x) x) 1/2) 0.356 * * * [progress]: adding candidates to table 0.522 * [progress]: [Phase 3 of 3] Extracting. 0.522 * * [regime]: Finding splitpoints for: (# #) 0.523 * * * [regime-changes]: Trying 2 branch expressions: ((+ x (* x x)) x) 0.523 * * * * [regimes]: Trying to branch on (+ x (* x x)) from (# #) 0.531 * * * * [regimes]: Trying to branch on x from (# #) 0.540 * * * [regime]: Found split indices: #