17.230 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (+ (* x (* x x)) (* x x)) 0.016 * * [simplify]: iteration 0 : 13 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.018 * * [simplify]: iteration 2 : 39 enodes (cost 3 ) 0.020 * * [simplify]: iteration 3 : 70 enodes (cost 3 ) 0.022 * * [simplify]: iteration 4 : 181 enodes (cost 3 ) 0.027 * * [simplify]: iteration 5 : 682 enodes (cost 3 ) 0.045 * * [simplify]: iteration 6 : 2463 enodes (cost 3 ) 0.127 * * [simplify]: iteration 7 : 5001 enodes (cost 3 ) 0.128 * [simplify]: Simplified to: (* x (+ (* x x) x)) 0.130 * * [progress]: iteration 1 / 4 0.130 * * * [progress]: picking best candidate 0.133 * * * * [pick]: Picked # 0.133 * * * [progress]: localizing error 0.137 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.142 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.149 * * * [progress]: generating series expansions 0.149 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.150 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.152 * [approximate]: Taking taylor expansion of (/ -1 (pow x 3)) in (x) around 0 0.152 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 0.152 * [taylor]: Taking taylor expansion of -1 in x 0.152 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 0.152 * [taylor]: Taking taylor expansion of -1 in x 0.152 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.153 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.153 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow x 3)) in (x) around 0 0.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow x 3)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow x 3)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.154 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) in (x) around 0 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.157 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow x 3))) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.157 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.159 * * * [progress]: simplifying candidates 0.160 * [simplify]: Simplifying using # : (+ 1 (+ 1 1)) (+ 1 2) (+ 1 (+ 1 1)) (+ 1 (* 2 1)) (* x (* x x)) (* x (* x x)) (+ (log x) (+ (log x) (log x))) (+ (log x) (log (* x x))) (log (* x (* x x))) (exp (* x (* x x))) (* (* (* x x) x) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) x) (* (* (* x x) (* x 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))) (* (sqrt x) x) (* (sqrt x) x) (* x x) (* (cbrt x) (* x x)) (* (sqrt x) (* x x)) (* x (* x x)) (* (exp (* x (* x x))) (exp (* x x))) (log (+ (* x (* x x)) (* x x))) (exp (+ (* x (* x x)) (* x x))) (* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x)))) (cbrt (+ (* x (* x x)) (* x x))) (* (* (+ (* x (* x x)) (* x x)) (+ (* x (* x x)) (* x x))) (+ (* x (* x x)) (* x x))) (sqrt (+ (* x (* x x)) (* x x))) (sqrt (+ (* x (* x x)) (* x x))) (+ (pow (* x (* x x)) 3) (pow (* x x) 3)) (+ (* (* 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)) (+ (* x x) x) (+ x 1) (pow x 3) (pow x 3) (pow x 3) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) 0.164 * * [simplify]: iteration 0 : 158 enodes (cost 147 ) 0.168 * * [simplify]: iteration 1 : 646 enodes (cost 107 ) 0.184 * * [simplify]: iteration 2 : 2546 enodes (cost 106 ) 0.257 * * [simplify]: iteration 3 : 5001 enodes (cost 102 ) 0.258 * [simplify]: Simplified to: 3 3 3 3 (pow x 3) (pow x 3) (* 3 (log x)) (* 3 (log x)) (* 3 (log x)) (exp (pow x 3)) (pow (pow x 3) 3) (pow (pow x 3) 3) (pow x 2) x (pow (pow x 3) 3) (fabs (pow x 3/2)) (fabs (pow x 3/2)) (pow x 3/2) (pow x 3/2) (pow x 2) (* (cbrt x) (* x x)) (pow x 5/2) (pow x 3) (pow (exp x) (+ (* x x) x)) (log (+ (* x (* x x)) (* x x))) (pow (exp x) (+ (* x x) x)) (* (cbrt (+ (* x (* x x)) (* x x))) (cbrt (+ (* x (* x x)) (* x x)))) (cbrt (+ (* x (* x x)) (* x x))) (pow (* x (+ (* x x) x)) 3) (sqrt (+ (* x (* x x)) (* x x))) (sqrt (+ (* x (* x x)) (* x x))) (* (+ (pow x 3) 1) (pow x 6)) (* (pow x 4) (- (+ (pow x 2) 1) x)) (- (pow x 6) (pow x 4)) (* x (- (pow x 2) x)) (+ (* x x) x) (+ x 1) (pow x 3) (pow x 3) (pow x 3) (* x (+ (* x x) x)) (* x (+ (* x x) x)) (* x (+ (* x x) x)) 0.258 * * * [progress]: adding candidates to table 0.294 * * [progress]: iteration 2 / 4 0.294 * * * [progress]: picking best candidate 0.301 * * * * [pick]: Picked # 0.301 * * * [progress]: localizing error 0.312 * * * [progress]: generating rewritten candidates 0.312 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.318 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.323 * * * [progress]: generating series expansions 0.323 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.324 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [approximate]: Taking taylor expansion of (* (sqrt (/ (pow -1 5) (pow x 5))) (sqrt (/ -1 x))) in (x) around 0 0.326 * [taylor]: Taking taylor expansion of (* (sqrt (/ (pow -1 5) (pow x 5))) (sqrt (/ -1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ (pow -1 5) (pow x 5))) in x 0.326 * [taylor]: Taking taylor expansion of (/ (pow -1 5) (pow x 5)) in x 0.326 * [taylor]: Taking taylor expansion of (pow -1 5) in x 0.326 * [taylor]: Taking taylor expansion of -1 in x 0.326 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.326 * [taylor]: Taking taylor expansion of -1 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* (sqrt (/ (pow -1 5) (pow x 5))) (sqrt (/ -1 x))) in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ (pow -1 5) (pow x 5))) in x 0.326 * [taylor]: Taking taylor expansion of (/ (pow -1 5) (pow x 5)) in x 0.326 * [taylor]: Taking taylor expansion of (pow -1 5) in x 0.326 * [taylor]: Taking taylor expansion of -1 in x 0.326 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.326 * [taylor]: Taking taylor expansion of -1 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.329 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.329 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow x 3)) in (x) around 0 0.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow x 3)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow x 3)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) in (x) around 0 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.331 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.335 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* (sqrt (/ -1 x)) (sqrt (/ (pow -1 5) (pow x 5))))) in (x) around 0 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* (sqrt (/ -1 x)) (sqrt (/ (pow -1 5) (pow x 5))))) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ (pow -1 5) (pow x 5)))) in x 0.336 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.336 * [taylor]: Taking taylor expansion of -1 in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (sqrt (/ (pow -1 5) (pow x 5))) in x 0.336 * [taylor]: Taking taylor expansion of (/ (pow -1 5) (pow x 5)) in x 0.336 * [taylor]: Taking taylor expansion of (pow -1 5) in x 0.336 * [taylor]: Taking taylor expansion of -1 in x 0.336 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* (sqrt (/ -1 x)) (sqrt (/ (pow -1 5) (pow x 5))))) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ (pow -1 5) (pow x 5)))) in x 0.336 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.336 * [taylor]: Taking taylor expansion of -1 in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (sqrt (/ (pow -1 5) (pow x 5))) in x 0.336 * [taylor]: Taking taylor expansion of (/ (pow -1 5) (pow x 5)) in x 0.336 * [taylor]: Taking taylor expansion of (pow -1 5) in x 0.336 * [taylor]: Taking taylor expansion of -1 in x 0.336 * [taylor]: Taking taylor expansion of (pow x 5) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.339 * * * [progress]: simplifying candidates 0.340 * [simplify]: Simplifying using # : (+ 1/2 5/2) (+ (/ 1 2) 5/2) (+ (log (sqrt x)) (* (log x) 5/2)) (+ (log (sqrt x)) (* (log x) 5/2)) (+ (log (sqrt x)) (log (pow x 5/2))) (log (* (sqrt x) (pow x 5/2))) (exp (* (sqrt x) (pow x 5/2))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (pow x 5/2) (pow x 5/2)) (pow x 5/2))) (* (cbrt (* (sqrt x) (pow x 5/2))) (cbrt (* (sqrt x) (pow x 5/2)))) (cbrt (* (sqrt x) (pow x 5/2))) (* (* (* (sqrt x) (pow x 5/2)) (* (sqrt x) (pow x 5/2))) (* (sqrt x) (pow x 5/2))) (sqrt (* (sqrt x) (pow x 5/2))) (sqrt (* (sqrt x) (pow x 5/2))) (* (sqrt (sqrt x)) (pow (sqrt x) 5/2)) (* (sqrt (sqrt x)) (pow (sqrt x) 5/2)) (* (sqrt (sqrt x)) (sqrt (pow x 5/2))) (* (sqrt (sqrt x)) (sqrt (pow x 5/2))) (* (sqrt (sqrt x)) (pow x (/ 5/2 2))) (* (sqrt (sqrt x)) (pow x (/ 5/2 2))) (* (sqrt (sqrt x)) (pow (sqrt x) 5/2)) (* (sqrt (sqrt x)) (pow (sqrt x) 5/2)) (* (sqrt (sqrt x)) (sqrt (pow x 5/2))) (* (sqrt (sqrt x)) (sqrt (pow x 5/2))) (* (sqrt (sqrt x)) (pow x (/ 5/2 2))) (* (sqrt (sqrt x)) (pow x (/ 5/2 2))) (* (sqrt x) (pow (* (cbrt x) (cbrt x)) 5/2)) (* (sqrt x) (pow (sqrt x) 5/2)) (* (sqrt x) (pow 1 5/2)) (* (sqrt x) (* (cbrt (pow x 5/2)) (cbrt (pow x 5/2)))) (* (sqrt x) (sqrt (pow x 5/2))) (* (sqrt x) 1) (* (sqrt x) (pow x (/ 5/2 2))) (* (cbrt (sqrt x)) (pow x 5/2)) (* (sqrt (cbrt x)) (pow x 5/2)) (* (sqrt (sqrt x)) (pow x 5/2)) (* (sqrt x) (pow x 5/2)) (* (sqrt (sqrt x)) (pow x 5/2)) (* (sqrt x) (pow x 5/2)) (* (exp (* (sqrt x) (pow x 5/2))) (exp (* x x))) (log (+ (* (sqrt x) (pow x 5/2)) (* x x))) (exp (+ (* (sqrt x) (pow x 5/2)) (* x x))) (* (cbrt (+ (* (sqrt x) (pow x 5/2)) (* x x))) (cbrt (+ (* (sqrt x) (pow x 5/2)) (* x x)))) (cbrt (+ (* (sqrt x) (pow x 5/2)) (* x x))) (* (* (+ (* (sqrt x) (pow x 5/2)) (* x x)) (+ (* (sqrt x) (pow x 5/2)) (* x x))) (+ (* (sqrt x) (pow x 5/2)) (* x x))) (sqrt (+ (* (sqrt x) (pow x 5/2)) (* x x))) (sqrt (+ (* (sqrt x) (pow x 5/2)) (* x x))) (+ (pow (* (sqrt x) (pow x 5/2)) 3) (pow (* x x) 3)) (+ (* (* (sqrt x) (pow x 5/2)) (* (sqrt x) (pow x 5/2))) (- (* (* x x) (* x x)) (* (* (sqrt x) (pow x 5/2)) (* x x)))) (- (* (* (sqrt x) (pow x 5/2)) (* (sqrt x) (pow x 5/2))) (* (* x x) (* x x))) (- (* (sqrt x) (pow x 5/2)) (* x x)) (pow x 3) (pow x 3) (- (+ (* 3 (pow NAN 6)) (* (pow x 2) (pow NAN 2))) (* 2 (* x (pow NAN 4)))) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) (- (+ (* 3 (pow NAN 6)) (+ (pow x 2) (* (pow x 2) (pow NAN 2)))) (* 2 (* x (pow NAN 4)))) 0.344 * * [simplify]: iteration 0 : 232 enodes (cost 284 ) 0.349 * * [simplify]: iteration 1 : 1016 enodes (cost 262 ) 0.374 * * [simplify]: iteration 2 : 5001 enodes (cost 260 ) 0.376 * [simplify]: Simplified to: 3 3 (log (* (sqrt x) (pow x 5/2))) (log (* (sqrt x) (pow x 5/2))) (log (* (sqrt x) (pow x 5/2))) (log (* (sqrt x) (pow x 5/2))) (exp (* (sqrt x) (pow x 5/2))) (pow (* (sqrt x) (pow x 5/2)) 3) (* (cbrt (* (sqrt x) (pow x 5/2))) (cbrt (* (sqrt x) (pow x 5/2)))) (cbrt (* (sqrt x) (pow x 5/2))) (pow (* (sqrt x) (pow x 5/2)) 3) (sqrt (* (sqrt x) (pow x 5/2))) (sqrt (* (sqrt x) (pow x 5/2))) (* (sqrt (sqrt x)) (pow (sqrt x) 5/2)) (* (sqrt (sqrt x)) (pow (sqrt x) 5/2)) (* (sqrt (sqrt x)) (sqrt (pow x 5/2))) (* (sqrt (sqrt x)) (sqrt (pow x 5/2))) (* (sqrt (sqrt x)) (pow x 5/4)) (* (sqrt (sqrt x)) (pow x 5/4)) (* (sqrt (sqrt x)) (pow (sqrt x) 5/2)) (* (sqrt (sqrt x)) (pow (sqrt x) 5/2)) (* (sqrt (sqrt x)) (sqrt (pow x 5/2))) (* (sqrt (sqrt x)) (sqrt (pow x 5/2))) (* (sqrt (sqrt x)) (pow x 5/4)) (* (sqrt (sqrt x)) (pow x 5/4)) (* (sqrt x) (pow (* (cbrt x) (cbrt x)) 5/2)) (pow (sqrt x) 7/2) (sqrt x) (* (sqrt x) (* (cbrt (pow x 5/2)) (cbrt (pow x 5/2)))) (* (sqrt x) (sqrt (pow x 5/2))) (sqrt x) (* (sqrt x) (pow x 5/4)) (* (cbrt (sqrt x)) (pow x 5/2)) (* (sqrt (cbrt x)) (pow x 5/2)) (* (sqrt (sqrt x)) (pow x 5/2)) (* (sqrt x) (pow x 5/2)) (* (sqrt (sqrt x)) (pow x 5/2)) (* (sqrt x) (pow x 5/2)) (exp (+ (* (sqrt x) (pow x 5/2)) (* x x))) (log (+ (* (sqrt x) (pow x 5/2)) (* x x))) (exp (+ (* (sqrt x) (pow x 5/2)) (* x x))) (* (cbrt (+ (* (sqrt x) (pow x 5/2)) (* x x))) (cbrt (+ (* (sqrt x) (pow x 5/2)) (* x x)))) (cbrt (+ (* (sqrt x) (pow x 5/2)) (* x x))) (pow (+ (* (sqrt x) (pow x 5/2)) (* x x)) 3) (sqrt (+ (* (sqrt x) (pow x 5/2)) (* x x))) (sqrt (+ (* (sqrt x) (pow x 5/2)) (* x x))) (+ (pow (* (sqrt x) (pow x 5/2)) 3) (pow (* x x) 3)) (* x (+ (pow x 5) (- (pow x 3) (* (* (sqrt x) (pow x 5/2)) x)))) (* x (- (pow x 5) (pow x 3))) (- (* (sqrt x) (pow x 5/2)) (* x x)) (pow x 3) (pow x 3) (- (+ (* 3 (pow NAN 6)) (* (pow x 2) (pow NAN 2))) (* 2 (* x (pow NAN 4)))) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) (+ (* 3 (pow NAN 6)) (+ (* (+ (pow NAN 2) 1) (pow x 2)) (* -2 (* x (pow NAN 4))))) 0.377 * * * [progress]: adding candidates to table 0.433 * * [progress]: iteration 3 / 4 0.433 * * * [progress]: picking best candidate 0.437 * * * * [pick]: Picked # 0.437 * * * [progress]: localizing error 0.441 * * * [progress]: generating rewritten candidates 0.441 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.447 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.452 * * * [progress]: generating series expansions 0.452 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.452 * [approximate]: Taking taylor expansion of (* x (+ (pow x 2) x)) in (x) around 0 0.452 * [taylor]: Taking taylor expansion of (* x (+ (pow x 2) x)) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (* x (+ (pow x 2) x)) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.453 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in (x) around 0 0.453 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.456 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in (x) around 0 0.456 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in x 0.456 * [taylor]: Taking taylor expansion of -1 in x 0.456 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in x 0.456 * [taylor]: Taking taylor expansion of -1 in x 0.456 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.456 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.458 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.458 * [approximate]: Taking taylor expansion of (+ (pow x 2) x) in (x) around 0 0.458 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.459 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.461 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in (x) around 0 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * * * [progress]: simplifying candidates 0.463 * [simplify]: Simplifying using # : (* x (+ (* x x) x)) (+ (log x) (log (+ (* x x) x))) (log (* x (+ (* x x) x))) (exp (* x (+ (* x x) x))) (* (* (* x x) x) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x))) (* (cbrt (* x (+ (* x x) x))) (cbrt (* x (+ (* x x) x)))) (cbrt (* x (+ (* x x) x))) (* (* (* x (+ (* x x) x)) (* x (+ (* x x) x))) (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))) (* (sqrt x) (sqrt (+ (* x x) x))) (* (sqrt x) (sqrt (+ (* x x) x))) (* x (* x x)) (* x x) (* (* x x) x) (* x x) (* x (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))) (* x (sqrt (+ (* x x) x))) (* x 1) (* x x) (* x (+ x 1)) (* (cbrt x) (+ (* x x) x)) (* (sqrt x) (+ (* x x) x)) (* x (+ (* x x) x)) (* x (+ (pow (* x x) 3) (pow x 3))) (* x (- (* (* x x) (* x x)) (* x x))) (* (exp (* x x)) (exp 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 x) 3) (pow x 3)) (+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x))) (- (* (* x x) (* x x)) (* x x)) (- (* x x) x) (+ x 1) (+ x 1) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) (+ (pow x 2) x) (+ (pow x 2) x) (+ (pow x 2) x) 0.466 * * [simplify]: iteration 0 : 147 enodes (cost 175 ) 0.470 * * [simplify]: iteration 1 : 799 enodes (cost 152 ) 0.490 * * [simplify]: iteration 2 : 3842 enodes (cost 148 ) 0.580 * * [simplify]: iteration 3 : 5001 enodes (cost 147 ) 0.581 * [simplify]: Simplified to: (* x (+ (* x x) x)) (log (* x (+ (* x x) x))) (log (* x (+ (* x x) x))) (exp (* x (+ (* x x) x))) (pow (* x (+ (* x x) x)) 3) (* (cbrt (* x (+ (* x x) x))) (cbrt (* x (+ (* x x) x)))) (cbrt (* x (+ (* x x) x))) (pow (* x (+ (* x x) x)) 3) (sqrt (* x (+ (* x x) x))) (sqrt (* x (+ (* x x) x))) (* (sqrt (+ (* x x) x)) (pow x 1/2)) (* (sqrt (+ (* x x) x)) (pow x 1/2)) (pow x 3) (pow x 2) (pow x 3) (pow x 2) (* x (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))) (* x (sqrt (+ (* x x) x))) x (pow x 2) (* x (+ x 1)) (* (cbrt x) (+ (* x x) x)) (* (+ x 1) (pow x 3/2)) (* x (+ (* x x) x)) (+ (pow x 7) (pow x 4)) (- (pow x 5) (pow x 3)) (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 1)) 3) (sqrt (+ (* x x) x)) (sqrt (+ (* x x) x)) (+ (pow x 6) (pow x 3)) (* x (+ (pow x 3) (- x (pow x 2)))) (* x (- (pow x 3) x)) (- (* x x) x) (+ x 1) (+ x 1) (* x (+ (* x x) x)) (* x (+ (* x x) x)) (* x (+ (* x x) x)) (* x (+ x 1)) (* x (+ x 1)) (* x (+ x 1)) 0.581 * * * [progress]: adding candidates to table 0.617 * * [progress]: iteration 4 / 4 0.617 * * * [progress]: picking best candidate 0.619 * * * * [pick]: Picked # 0.619 * * * [progress]: localizing error 0.625 * * * [progress]: generating rewritten candidates 0.625 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.637 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.648 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.655 * * * [progress]: generating series expansions 0.655 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.655 * [approximate]: Taking taylor expansion of (* x (+ (pow x 2) x)) in (x) around 0 0.655 * [taylor]: Taking taylor expansion of (* x (+ (pow x 2) x)) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (* x (+ (pow x 2) x)) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.657 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in (x) around 0 0.657 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.657 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.657 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.659 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in (x) around 0 0.659 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in x 0.659 * [taylor]: Taking taylor expansion of -1 in x 0.659 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.659 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 x)) x)) in x 0.659 * [taylor]: Taking taylor expansion of -1 in x 0.659 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 x)) x) in x 0.659 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.659 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.662 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.662 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow x 2) x))) in (x) around 0 0.662 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow x 2) x))) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) x)) in x 0.662 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow x 2) x))) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) x)) in x 0.662 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.664 * [approximate]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (/ 1 (pow x 2)) (/ 1 x)))) in (x) around 0 0.664 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (/ 1 (pow x 2)) (/ 1 x)))) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in x 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (* (/ 1 x) (sqrt (+ (/ 1 (pow x 2)) (/ 1 x)))) in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in x 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) (/ 1 x))) in (x) around 0 0.665 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) (/ 1 x))) in x 0.665 * [taylor]: Taking taylor expansion of -1 in x 0.666 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) (/ 1 x)) in x 0.666 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in x 0.666 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) (/ 1 x))) in x 0.666 * [taylor]: Taking taylor expansion of -1 in x 0.666 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) (/ 1 x)) in x 0.666 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in x 0.666 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.666 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.667 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.667 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) x)) in (x) around 0 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) x)) in x 0.667 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) x)) in x 0.667 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.668 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in (x) around 0 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in x 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in x 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.669 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in (x) around 0 0.669 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in x 0.669 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in x 0.669 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.670 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.670 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) x)) in (x) around 0 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) x)) in x 0.670 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) x)) in x 0.670 * [taylor]: Taking taylor expansion of (+ (pow x 2) x) in x 0.670 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.671 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in (x) around 0 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in x 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 x))) in x 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.671 * [taylor]: Taking taylor expansion of x 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 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in (x) around 0 0.672 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 x))) in x 0.672 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.672 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.673 * * * [progress]: simplifying candidates 0.674 * [simplify]: Simplifying using # : (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x))) (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x))) (+ (+ (log x) (log (sqrt (+ (* x x) x)))) (log (sqrt (+ (* x x) x)))) (+ (log (* x (sqrt (+ (* x x) x)))) (log (sqrt (+ (* x x) x)))) (log (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (exp (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (* (* (* (* 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 (sqrt (+ (* x x) x))) (* x (sqrt (+ (* x x) x)))) (* x (sqrt (+ (* x x) x)))) (* (* (sqrt (+ (* x x) x)) (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (* (cbrt (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (cbrt (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x))))) (cbrt (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (* (* (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x))) (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (sqrt (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (sqrt (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (* (* x (sqrt (+ (pow (* x x) 3) (pow x 3)))) (sqrt (+ (pow (* x x) 3) (pow x 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))) (sqrt (+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x))))) (* (* x (sqrt (+ (pow (* x x) 3) (pow x 3)))) (sqrt (- (* (* x x) (* x x)) (* x x)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))) (sqrt (- (* x x) x))) (* (* x (sqrt (- (* (* x x) (* x x)) (* x x)))) (sqrt (+ (pow (* x x) 3) (pow x 3)))) (* (sqrt (- (* x x) x)) (sqrt (+ (* (* x 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))) (* (* x (sqrt (+ (* x x) x))) (* (cbrt (sqrt (+ (* x x) x))) (cbrt (sqrt (+ (* x x) x))))) (* (* x (sqrt (+ (* x x) x))) (sqrt (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x))))) (* (* x (sqrt (+ (* x x) x))) (sqrt (sqrt (+ (* x x) x)))) (* (* x (sqrt (+ (* x x) x))) (sqrt 1)) (* (* x (sqrt (+ (* x x) x))) (sqrt x)) (* (* x (sqrt (+ (* x x) x))) (sqrt (+ x 1))) (* (* x (sqrt (+ (* x x) x))) (sqrt (sqrt (+ (* x x) x)))) (* (* x (sqrt (+ (* x x) x))) 1) (* (sqrt (+ (* x x) x)) (sqrt (+ (* x x) x))) (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (pow (* x x) 3) (pow x 3)))) (* (* x (sqrt (+ (* x x) x))) (sqrt (- (* (* x x) (* x x)) (* x x)))) (* (* x (sqrt (+ (pow (* x x) 3) (pow x 3)))) (sqrt (+ (* x x) x))) (* (* x (sqrt (- (* (* x x) (* x x)) (* x x)))) (sqrt (+ (* x x) x))) (* x (sqrt (+ (* x x) x))) (+ (log x) (log (sqrt (+ (* x x) x)))) (log (* x (sqrt (+ (* x x) x)))) (exp (* x (sqrt (+ (* x x) x)))) (* (* (* x x) x) (* (* (sqrt (+ (* x x) x)) (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (* (cbrt (* x (sqrt (+ (* x x) x)))) (cbrt (* x (sqrt (+ (* x x) x))))) (cbrt (* x (sqrt (+ (* x x) x)))) (* (* (* x (sqrt (+ (* x x) x))) (* x (sqrt (+ (* x x) x)))) (* x (sqrt (+ (* x x) x)))) (sqrt (* x (sqrt (+ (* x x) x)))) (sqrt (* x (sqrt (+ (* x x) x)))) (* (sqrt x) (sqrt (sqrt (+ (* x x) x)))) (* (sqrt x) (sqrt (sqrt (+ (* x x) x)))) (* (sqrt x) (sqrt (sqrt (+ (* x x) x)))) (* (sqrt x) (sqrt (sqrt (+ (* x x) x)))) (* x (* (cbrt (sqrt (+ (* x x) x))) (cbrt (sqrt (+ (* x x) x))))) (* x (sqrt (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x))))) (* x (sqrt (sqrt (+ (* x x) x)))) (* x (sqrt 1)) (* x (sqrt x)) (* x (sqrt (+ x 1))) (* x (sqrt (sqrt (+ (* x x) x)))) (* x 1) (* (cbrt x) (sqrt (+ (* x x) x))) (* (sqrt x) (sqrt (+ (* x x) x))) (* x (sqrt (+ (* x x) x))) (* x (sqrt (+ (pow (* x x) 3) (pow x 3)))) (* x (sqrt (- (* (* x x) (* x x)) (* x 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))) (* (* (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 (+ x 1)) (sqrt (+ x 1)) (sqrt x) (sqrt (+ (pow (* x x) 3) (pow 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))) (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 (+ x 1)) (sqrt (+ x 1)) (sqrt x) (sqrt (+ (pow (* x x) 3) (pow 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) (pow x 3)) (+ (pow x 2) (pow x 3)) (+ (pow x 2) (pow x 3)) (- (+ (* (pow x 2) NAN) (+ (* (pow x 3) NAN) (* 2 (* (pow x 4) (pow NAN 5))))) (+ (* 2 (* (pow x 4) (pow NAN 3))) (* (pow x 3) (pow NAN 3)))) (- (+ (pow x 2) (* 1/2 x)) 1/8) (- 1/8 (+ (pow x 2) (* 1/2 x))) (- (+ (* 2 (* (pow x 3) (pow NAN 5))) (+ (* x NAN) (* (pow x 2) NAN))) (+ (* (pow x 2) (pow NAN 3)) (* 2 (* (pow x 3) (pow NAN 3))))) (- (+ 1/2 x) (* 1/8 (/ 1 x))) (- (* 1/8 (/ 1 x)) (+ 1/2 x)) (- (+ (* 2 (* (pow x 3) (pow NAN 5))) (+ (* x NAN) (* (pow x 2) NAN))) (+ (* (pow x 2) (pow NAN 3)) (* 2 (* (pow x 3) (pow NAN 3))))) (- (+ 1/2 x) (* 1/8 (/ 1 x))) (- (* 1/8 (/ 1 x)) (+ 1/2 x)) 0.680 * * [simplify]: iteration 0 : 344 enodes (cost 724 ) 0.688 * * [simplify]: iteration 1 : 1659 enodes (cost 634 ) 0.724 * * [simplify]: iteration 2 : 5001 enodes (cost 627 ) 0.728 * [simplify]: Simplified to: (* x (+ (* x x) x)) (* x (+ (* x x) x)) (+ (log x) (log (+ (* x x) x))) (+ (log x) (log (+ (* x x) x))) (+ (log x) (log (+ (* x x) x))) (pow (exp x) (+ (* x x) x)) (pow (* x (+ (* x x) x)) 3) (pow (* x (+ (* x x) x)) 3) (* (cbrt (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (cbrt (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x))))) (cbrt (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (pow (* x (+ (* x x) x)) 3) (sqrt (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (sqrt (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (* x x) x)))) (+ (pow x 4) (* x (pow x 6))) (* x (+ (pow x 3) (- x (pow x 2)))) (* (* x (sqrt (+ (pow (* x x) 3) (pow x 3)))) (sqrt (- (* (* x x) (* x x)) (* x x)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))) (sqrt (- (* x x) x))) (* (* x (sqrt (+ (pow (* x x) 3) (pow x 3)))) (sqrt (- (* (* x x) (* x x)) (* x x)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))) (sqrt (- (* x x) x))) (* (* x (- (pow x 3) x)) x) (- (* x x) x) (* (* x (sqrt (+ (* x x) x))) (* (cbrt (sqrt (+ (* x x) x))) (cbrt (sqrt (+ (* x x) x))))) (* x (* (sqrt (+ (* x x) x)) (fabs (cbrt (+ (* x x) x))))) (* (* x (sqrt (+ (* x x) x))) (sqrt (sqrt (+ (* x x) x)))) (* x (sqrt (+ (* x x) x))) (* (* x (sqrt (+ (* x x) x))) (sqrt x)) (* (* x (sqrt (+ (* x x) x))) (sqrt (+ x 1))) (* (* x (sqrt (+ (* x x) x))) (sqrt (sqrt (+ (* x x) x)))) (* x (sqrt (+ (* x x) x))) (+ (* x x) x) (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (pow (* x x) 3) (pow x 3)))) (* (* x (sqrt (+ (* x x) x))) (sqrt (- (* (* x x) (* x x)) (* x x)))) (* (* x (sqrt (+ (* x x) x))) (sqrt (+ (pow (* x x) 3) (pow x 3)))) (* (* x (sqrt (+ (* x x) x))) (sqrt (- (* (* x x) (* x x)) (* x x)))) (* x (sqrt (+ (* x x) x))) 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(+ (* x x) x))) (sqrt (sqrt (+ (* x x) x))) (* x (+ (* x x) x)) (* x (+ (* x x) x)) (* x (+ (* x x) x)) (+ (* NAN (* x (+ (* x x) x))) (- (* 2 (* (pow x 4) (pow NAN 5))) (* (pow NAN 3) (+ (pow x 3) (* 2 (pow x 4)))))) (- (* x (+ 1/2 x)) 1/8) (- 1/8 (* x (+ 1/2 x))) (+ (* NAN (+ x (pow x 2))) (- (* 2 (* (pow x 3) (pow NAN 5))) (* (pow NAN 3) (+ (* 2 (pow x 3)) (pow x 2))))) (+ x (+ 1/2 (/ -1/8 x))) (- (- (/ 1/8 x) x) 1/2) (+ (* NAN (+ x (pow x 2))) (- (* 2 (* (pow x 3) (pow NAN 5))) (* (pow NAN 3) (+ (* 2 (pow x 3)) (pow x 2))))) (+ x (+ 1/2 (/ -1/8 x))) (- (- (/ 1/8 x) x) 1/2) 0.729 * * * [progress]: adding candidates to table 0.812 * [progress]: [Phase 3 of 3] Extracting. 0.812 * * [regime]: Finding splitpoints for: (# # #) 0.813 * * * [regime-changes]: Trying 1 branch expressions: (x) 0.813 * * * * [regimes]: Trying to branch on x from (# # #) 0.837 * * * [regime]: Found split indices: #