45.097 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))) 0.026 * * [simplify]: iteration 0 : 21 enodes (cost 5 ) 0.027 * * [simplify]: iteration 1 : 37 enodes (cost 5 ) 0.028 * * [simplify]: iteration 2 : 61 enodes (cost 5 ) 0.030 * * [simplify]: iteration 3 : 91 enodes (cost 5 ) 0.032 * * [simplify]: iteration 4 : 115 enodes (cost 5 ) 0.033 * * [simplify]: iteration 5 : 121 enodes (cost 5 ) 0.035 * * [simplify]: iteration 6 : 121 enodes (cost 5 ) 0.035 * [simplify]: Simplified to: (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.060 * [approximate]: Approximating (* (+ (pow z 2) 1.0) y) in (y z) around 0 0.061 * [taylor]: Taking taylor expansion of (* (+ (pow z 2) 1.0) y) in z 0.062 * [taylor]: Taking taylor expansion of (* (+ (pow z 2) 1.0) y) in z 0.064 * [taylor]: Taking taylor expansion of (* (+ (pow z 2) 1.0) y) in z 0.066 * [taylor]: Taking taylor expansion of (* (+ (pow z 2) 1.0) y) in z 0.066 * [approximate]: Approximating (/ (+ (/ 1 (pow z 2)) 1.0) y) in (y z) around 0 0.067 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow z 2)) 1.0) y) in z 0.073 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow z 2)) 1.0) y) in z 0.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow z 2)) 1.0) y) in z 0.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow z 2)) 1.0) y) in z 0.086 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow z 2)) 1.0) y) in z 0.092 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow z 2)) 1.0) y) in z 0.093 * [approximate]: Approximating (* -1 (/ (+ (/ 1 (pow z 2)) 1.0) y)) in (y z) around 0 0.094 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow z 2)) 1.0) y)) in z 0.097 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow z 2)) 1.0) y)) in z 0.102 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow z 2)) 1.0) y)) in z 0.109 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow z 2)) 1.0) y)) in z 0.117 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow z 2)) 1.0) y)) in z 0.126 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow z 2)) 1.0) y)) in z 0.127 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.127 * [approximate]: Approximating (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in (x y z) around 0 0.133 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.138 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.145 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 0.145 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.150 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.158 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 0.158 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.158 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.161 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.162 * [approximate]: Approximating (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in (x y z) around 0 0.165 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 0.165 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 0.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.170 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.175 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 0.175 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.175 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.177 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.177 * [approximate]: Approximating (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in (x y z) around 0 0.180 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 0.181 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.184 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 0.184 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.185 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.190 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 0.190 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.190 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.192 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.192 * * * [progress]: simplifying candidates 0.193 * [simplify]: Simplifying using # : (* y (+ 1.0 (* z z))) (+ (log y) (log (+ 1.0 (* z z)))) (log (* y (+ 1.0 (* z z)))) (exp (* y (+ 1.0 (* z z)))) (* (* (* y y) y) (* (* (+ 1.0 (* z z)) (+ 1.0 (* z z))) (+ 1.0 (* z z)))) (* (cbrt (* y (+ 1.0 (* z z)))) (cbrt (* y (+ 1.0 (* z z))))) (cbrt (* y (+ 1.0 (* z z)))) (* (* (* y (+ 1.0 (* z z))) (* y (+ 1.0 (* z z)))) (* y (+ 1.0 (* z z)))) (sqrt (* y (+ 1.0 (* z z)))) (sqrt (* y (+ 1.0 (* z z)))) (* (sqrt y) (sqrt (+ 1.0 (* z z)))) (* (sqrt y) (sqrt (+ 1.0 (* z z)))) (* y 1.0) (* y (* z z)) (* 1.0 y) (* (* z z) y) (* y (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z))))) (* y (sqrt (+ 1.0 (* z z)))) (* y 1) (* (cbrt y) (+ 1.0 (* z z))) (* (sqrt y) (+ 1.0 (* z z))) (* y (+ 1.0 (* z z))) (* y (+ (pow 1.0 3) (pow (* z z) 3))) (* y (- (* 1.0 1.0) (* (* z z) (* z z)))) (- (- (log 1.0) (log x)) (+ (log y) (log (+ 1.0 (* z z))))) (- (- (log 1.0) (log x)) (log (* y (+ 1.0 (* z z))))) (- (log (/ 1.0 x)) (+ (log y) (log (+ 1.0 (* z z))))) (- (log (/ 1.0 x)) (log (* y (+ 1.0 (* z z))))) (log (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (exp (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* x x) x)) (* (* (* y y) y) (* (* (+ 1.0 (* z z)) (+ 1.0 (* z z))) (+ 1.0 (* z z))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* x x) x)) (* (* (* y (+ 1.0 (* z z))) (* y (+ 1.0 (* z z)))) (* y (+ 1.0 (* z z))))) (/ (* (* (/ 1.0 x) (/ 1.0 x)) (/ 1.0 x)) (* (* (* y y) y) (* (* (+ 1.0 (* z z)) (+ 1.0 (* z z))) (+ 1.0 (* z z))))) (/ (* (* (/ 1.0 x) (/ 1.0 x)) (/ 1.0 x)) (* (* (* y (+ 1.0 (* z z))) (* y (+ 1.0 (* z z)))) (* y (+ 1.0 (* z z))))) (* (cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))))) (cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (* (* (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))) (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (sqrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (sqrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (neg (/ 1.0 x)) (neg (* y (+ 1.0 (* z z)))) (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))) (/ (sqrt (/ 1.0 x)) y) (/ (sqrt (/ 1.0 x)) (+ 1.0 (* z z))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) y) (/ (/ (cbrt 1.0) (cbrt x)) (+ 1.0 (* z z))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) y) (/ (/ (cbrt 1.0) (sqrt x)) (+ 1.0 (* z z))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))) (/ (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) y) (/ (/ (sqrt 1.0) (cbrt x)) (+ 1.0 (* z z))) (/ (/ (sqrt 1.0) (sqrt x)) y) (/ (/ (sqrt 1.0) (sqrt x)) (+ 1.0 (* z z))) (/ (/ (sqrt 1.0) 1) y) (/ (/ (sqrt 1.0) x) (+ 1.0 (* z z))) (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (/ (/ 1 (sqrt x)) y) (/ (/ 1.0 (sqrt x)) (+ 1.0 (* z z))) (/ (/ 1 1) y) (/ (/ 1.0 x) (+ 1.0 (* z z))) (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))) (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))) (/ 1 (* y (+ 1.0 (* z z)))) (/ (* y (+ 1.0 (* z z))) (/ 1.0 x)) (/ (/ 1.0 x) y) (/ (* y (+ 1.0 (* z z))) (cbrt (/ 1.0 x))) (/ (* y (+ 1.0 (* z z))) (sqrt (/ 1.0 x))) (/ (* y (+ 1.0 (* z z))) (/ (cbrt 1.0) (cbrt x))) (/ (* y (+ 1.0 (* z z))) (/ (cbrt 1.0) (sqrt x))) (/ (* y (+ 1.0 (* z z))) (/ (cbrt 1.0) x)) (/ (* y (+ 1.0 (* z z))) (/ (sqrt 1.0) (cbrt x))) (/ (* y (+ 1.0 (* z z))) (/ (sqrt 1.0) (sqrt x))) (/ (* y (+ 1.0 (* z z))) (/ (sqrt 1.0) x)) (/ (* y (+ 1.0 (* z z))) (/ 1.0 (cbrt x))) (/ (* y (+ 1.0 (* z z))) (/ 1.0 (sqrt x))) (/ (* y (+ 1.0 (* z z))) (/ 1.0 x)) (/ (* y (+ 1.0 (* z z))) (/ 1.0 x)) (/ (* y (+ 1.0 (* z z))) (/ 1 x)) (/ (/ 1.0 x) (* y (+ (pow 1.0 3) (pow (* z z) 3)))) (/ (/ 1.0 x) (* y (- (* 1.0 1.0) (* (* z z) (* z z))))) (* (* y (+ 1.0 (* z z))) x) (* 1.0 y) (+ (* (pow z 2) y) (* 1.0 y)) (+ (* (pow z 2) y) (* 1.0 y)) (- (* 1.0 (/ 1 (* x y))) (* 1.0 (/ (pow z 2) (* x y)))) (/ 1.0 (* x (* (pow z 2) y))) (/ 1.0 (* x (* (pow z 2) y))) 0.198 * * [simplify]: iteration 0 : 409 enodes (cost 511 ) 0.205 * * [simplify]: iteration 1 : 1963 enodes (cost 443 ) 0.234 * * [simplify]: iteration 2 : 5001 enodes (cost 443 ) 0.237 * [simplify]: Simplified to: (* y (+ 1.0 (* z z))) (log (* y (+ 1.0 (* z z)))) (log (* y (+ 1.0 (* z z)))) (exp (* y (+ 1.0 (* z z)))) (pow (* y (+ 1.0 (* z z))) 3) (* (cbrt (* y (+ 1.0 (* z z)))) (cbrt (* y (+ 1.0 (* z z))))) (cbrt (* y (+ 1.0 (* z z)))) (pow (* y (+ 1.0 (* z z))) 3) (sqrt (* y (+ 1.0 (* z z)))) (sqrt (* y (+ 1.0 (* z z)))) (* (sqrt y) (sqrt (+ 1.0 (* z z)))) (* (sqrt y) (sqrt (+ 1.0 (* z z)))) (* y 1.0) (* y (* z z)) (* y 1.0) (* y (* z z)) (* y (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z))))) (* y (sqrt (+ 1.0 (* z z)))) y (* (cbrt y) (+ 1.0 (* z z))) (* (sqrt y) (+ 1.0 (* z z))) (* y (+ 1.0 (* z z))) (* y (+ (pow 1.0 3) (pow (* z z) 3))) (* y (- (* 1.0 1.0) (* (* z z) (* z z)))) (log (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (log (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (log (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (log (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (log (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (exp (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (pow (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))) 3) (pow (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))) 3) (pow (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))) 3) (pow (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))) 3) (* (cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))))) (cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (pow (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))) 3) (sqrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (sqrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z))))) (neg (/ 1.0 x)) (neg (* y (+ 1.0 (* z z)))) (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))) (/ (sqrt (/ 1.0 x)) y) (/ (sqrt (/ 1.0 x)) (+ 1.0 (* z z))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) y) (/ (/ (cbrt 1.0) (cbrt x)) (+ 1.0 (* z z))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt x)) y) (/ (/ (cbrt 1.0) (sqrt x)) (+ 1.0 (* z z))) (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))) (/ (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) y) (/ (/ (sqrt 1.0) (cbrt x)) (+ 1.0 (* z z))) (/ (/ (sqrt 1.0) (sqrt x)) y) (/ (/ (sqrt 1.0) (sqrt x)) (+ 1.0 (* z z))) (/ (sqrt 1.0) y) (/ (/ (sqrt 1.0) x) (+ 1.0 (* z z))) (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (/ (/ 1 (sqrt x)) y) (/ (/ 1.0 (sqrt x)) (+ 1.0 (* z z))) (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))) (/ 1 y) (/ (/ 1.0 x) (+ 1.0 (* z z))) (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))) (/ 1 (* y (+ 1.0 (* z z)))) (/ (* y (+ 1.0 (* z z))) (/ 1.0 x)) (/ (/ 1.0 y) x) (/ (* y (+ 1.0 (* z z))) (cbrt (/ 1.0 x))) (/ (* y (+ 1.0 (* z z))) (sqrt (/ 1.0 x))) (/ (* y (+ 1.0 (* z z))) (/ (cbrt 1.0) (cbrt x))) (/ (* y (+ 1.0 (* z z))) (/ (cbrt 1.0) (sqrt x))) (/ (* y (+ 1.0 (* z z))) (/ (cbrt 1.0) x)) (/ (* y (+ 1.0 (* z z))) (/ (sqrt 1.0) (cbrt x))) (/ (* y (+ 1.0 (* z z))) (/ (sqrt 1.0) (sqrt x))) (/ (* y (+ 1.0 (* z z))) (/ (sqrt 1.0) x)) (/ (* y (+ 1.0 (* z z))) (/ 1.0 (cbrt x))) (/ (* y (+ 1.0 (* z z))) (/ 1.0 (sqrt x))) (/ (* y (+ 1.0 (* z z))) (/ 1.0 x)) (/ (* y (+ 1.0 (* z z))) (/ 1.0 x)) (* (* y (+ 1.0 (* z z))) x) (/ (/ 1.0 x) (* y (+ (pow 1.0 3) (pow (* z z) 3)))) (/ (/ 1.0 x) (* y (- (* 1.0 1.0) (* (* z z) (* z z))))) (* (* y (+ 1.0 (* z z))) x) (* y 1.0) (* y (+ 1.0 (* z z))) (* y (+ 1.0 (* z z))) (* 1.0 (- (/ 1 (* x y)) (/ (pow z 2) (* x y)))) (/ 1.0 (* x (* (pow z 2) y))) (/ 1.0 (* x (* (pow z 2) y))) 0.238 * * * [progress]: adding candidates to table 0.457 * * [progress]: iteration 2 / 4 0.457 * * * [progress]: picking best candidate 0.485 * * * * [pick]: Picked # 0.485 * * * [progress]: localizing error 0.499 * * * [progress]: generating rewritten candidates 0.500 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.546 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.547 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 0.549 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 0.564 * * * [progress]: generating series expansions 0.564 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.564 * [approximate]: Approximating (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in (x y z) around 0 0.569 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 0.572 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.575 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 0.577 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.581 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.583 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.591 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 0.591 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.591 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.594 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 0.595 * [approximate]: Approximating (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in (x y z) around 0 0.598 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 0.599 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.602 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 0.602 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.603 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.610 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 0.611 * [approximate]: Approximating (* -1.0 (/ (* x y) (* (+ (/ 1 (pow z 2)) 1.0) (pow (cbrt -1) 3)))) in (x y z) around 0 0.636 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (+ (/ 1 (pow z 2)) 1.0) (pow (cbrt -1) 3)))) in y 0.637 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (+ (/ 1 (pow z 2)) 1.0) (pow (cbrt -1) 3)))) in z 0.642 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (+ (/ 1 (pow z 2)) 1.0) (pow (cbrt -1) 3)))) in y 0.642 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (+ (/ 1 (pow z 2)) 1.0) (pow (cbrt -1) 3)))) in z 0.643 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (+ (/ 1 (pow z 2)) 1.0) (pow (cbrt -1) 3)))) in z 0.651 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (+ (/ 1 (pow z 2)) 1.0) (pow (cbrt -1) 3)))) in y 0.651 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (+ (/ 1 (pow z 2)) 1.0) (pow (cbrt -1) 3)))) in z 0.651 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (+ (/ 1 (pow z 2)) 1.0) (pow (cbrt -1) 3)))) in z 0.653 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (+ (/ 1 (pow z 2)) 1.0) (pow (cbrt -1) 3)))) in z 0.654 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.654 * [approximate]: Approximating (pow x 1/3) in (x) around 0 0.712 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 0.770 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.853 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 0.853 * [approximate]: Approximating (pow x 1/3) in (x) around 0 0.907 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 0.971 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.049 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 1.049 * [approximate]: Approximating (pow x 1/3) in (x) around 0 1.112 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 1.176 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.255 * * * [progress]: simplifying candidates 1.258 * [simplify]: Simplifying using # : (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (+ (- (neg (+ (log (cbrt x)) (log (cbrt x)))) (log y)) (- (- (log 1.0) (log (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (neg (+ (log (cbrt x)) (log (cbrt x)))) (log y)) (- (log (/ 1.0 (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (neg (+ (log (cbrt x)) (log (cbrt x)))) (log y)) (log (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))) (+ (- (neg (log (* (cbrt x) (cbrt x)))) (log y)) (- (- (log 1.0) (log (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (neg (log (* (cbrt x) (cbrt x)))) (log y)) (- (log (/ 1.0 (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (neg (log (* (cbrt x) (cbrt x)))) (log y)) (log (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))) (+ (- (- 0 (+ (log (cbrt x)) (log (cbrt x)))) (log y)) (- (- (log 1.0) (log (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (- 0 (+ (log (cbrt x)) (log (cbrt x)))) (log y)) (- (log (/ 1.0 (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (- 0 (+ (log (cbrt x)) (log (cbrt x)))) (log y)) (log (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))) (+ (- (- 0 (log (* (cbrt x) (cbrt x)))) (log y)) (- (- (log 1.0) (log (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (- 0 (log (* (cbrt x) (cbrt x)))) (log y)) (- (log (/ 1.0 (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (- 0 (log (* (cbrt x) (cbrt x)))) (log y)) (log (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))) (+ (- (- (log 1) (+ (log (cbrt x)) (log (cbrt x)))) (log y)) (- (- (log 1.0) (log (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (- (log 1) (+ (log (cbrt x)) (log (cbrt x)))) (log y)) (- (log (/ 1.0 (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (- (log 1) (+ (log (cbrt x)) (log (cbrt x)))) (log y)) (log (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))) (+ (- (- (log 1) (log (* (cbrt x) (cbrt x)))) (log y)) (- (- (log 1.0) (log (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (- (log 1) (log (* (cbrt x) (cbrt x)))) (log y)) (- (log (/ 1.0 (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (- (log 1) (log (* (cbrt x) (cbrt x)))) (log y)) (log (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))))) (+ (- (log (/ 1 (* (cbrt x) (cbrt x)))) (log y)) (- (- (log 1.0) (log (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (log (/ 1 (* (cbrt x) (cbrt x)))) (log y)) (- (log (/ 1.0 (cbrt x))) (log (+ 1.0 (* z z))))) (+ (- (log (/ 1 (* (cbrt x) (cbrt x)))) (log 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(* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (- (* 1.0 (/ 1 (* x y))) (* 1.0 (/ (pow z 2) (* x y)))) (/ 1.0 (* x (* (pow z 2) y))) (/ 1.0 (* x (* (pow z 2) y))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.271 * * [simplify]: iteration 0 : 1343 enodes (cost 2652 ) 1.291 * * [simplify]: iteration 1 : 5001 enodes (cost 2367 ) 1.302 * 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x) (cbrt x))) y) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt (sqrt x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt (sqrt x))) (sqrt (+ 1.0 (* z z))))) (/ (* (/ 1 (* (cbrt x) (cbrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt (sqrt x)))) y) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1)) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1)) (sqrt (+ 1.0 (* z z))))) (/ (* (/ 1 (* (cbrt x) (cbrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1))) y) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (sqrt (+ 1.0 (* z z))))) (/ (* (/ 1 (* (cbrt x) (cbrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))) y) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (cbrt x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (cbrt x))) (sqrt (+ 1.0 (* z z))))) (/ (* (/ 1 (* (cbrt x) (cbrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (cbrt x)))) y) (/ (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z))))) (/ (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (cbrt 1.0) (cbrt 1.0))) (sqrt (+ 1.0 (* z z)))) (/ (* (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt 1.0) (cbrt 1.0))) y) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (sqrt 1.0) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (sqrt 1.0) (cbrt (* (cbrt x) (cbrt x)))) (sqrt (+ 1.0 (* z z))))) (/ (* (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt 1.0) (cbrt (* (cbrt x) (cbrt x))))) y) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (sqrt 1.0) (cbrt (sqrt x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (sqrt 1.0) (cbrt (sqrt x))) (sqrt (+ 1.0 (* z z))))) (/ (* (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt 1.0) (cbrt (sqrt x)))) y) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (sqrt 1.0) (cbrt 1)) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (sqrt 1.0) (cbrt 1)) (sqrt (+ 1.0 (* z z))))) (/ (* (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt 1.0) (cbrt 1))) y) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (sqrt 1.0) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (sqrt 1.0) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (sqrt (+ 1.0 (* z z))))) (/ (* (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt 1.0) (* (cbrt (cbrt x)) (cbrt (cbrt x))))) y) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (sqrt 1.0) (sqrt (cbrt x))) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (sqrt 1.0) (sqrt (cbrt x))) (sqrt (+ 1.0 (* z z))))) (/ (* (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt 1.0) (sqrt (cbrt x)))) y) (/ (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (sqrt 1.0)) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z))))) (/ (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (sqrt 1.0)) (sqrt (+ 1.0 (* z z)))) (/ (* (/ 1 (* (cbrt x) (cbrt x))) (sqrt 1.0)) y) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))) (cbrt (* (cbrt x) (cbrt x))))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (sqrt (+ 1.0 (* z z))) (cbrt (* (cbrt x) (cbrt x))))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (cbrt (* (cbrt x) (cbrt x)))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))) (cbrt (sqrt x)))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (sqrt (+ 1.0 (* z z))) (cbrt (sqrt x)))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (cbrt (sqrt x))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))) (cbrt 1))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (sqrt (+ 1.0 (* z z))) (cbrt 1))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (cbrt 1)) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (sqrt (+ 1.0 (* z z))) (* (cbrt (cbrt x)) (cbrt (cbrt x))))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))) (sqrt (cbrt x)))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (sqrt (+ 1.0 (* z z))) (sqrt (cbrt x)))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (sqrt (cbrt x))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z))))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (sqrt (+ 1.0 (* z z)))) (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z))))) (/ (/ (/ 1 (* (cbrt x) (cbrt x))) y) (sqrt (+ 1.0 (* z z)))) (/ (/ 1 (* (cbrt x) (cbrt x))) y) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ 1.0 (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z)))))) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ 1.0 (sqrt (+ 1.0 (* z z))))) (/ (* (/ 1 (* (cbrt x) (cbrt x))) 1.0) y) (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (* y (* (cbrt x) (cbrt x)))) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (+ (pow 1.0 3) (pow (* z z) 3)))) (* (/ (/ 1 (* (cbrt x) (cbrt x))) y) (/ (/ 1.0 (cbrt x)) (- (* 1.0 1.0) (* (* z z) (* z z))))) (* (cbrt (/ (/ 1 (* (cbrt x) (cbrt x))) y)) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (* (sqrt (/ (/ 1 (* (cbrt x) (cbrt x))) y)) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (* (/ (cbrt (/ 1 (* (cbrt x) (cbrt x)))) (cbrt y)) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (* (/ (cbrt (/ 1 (* (cbrt x) (cbrt x)))) (sqrt y)) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (* (/ (cbrt (/ 1 (* (cbrt x) (cbrt x)))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (* (/ (sqrt (/ 1 (* (cbrt x) (cbrt x)))) (cbrt y)) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (* (/ (sqrt (/ 1 (* (cbrt x) (cbrt x)))) (sqrt y)) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (* (/ (sqrt (/ 1 (* (cbrt x) (cbrt x)))) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (* (/ (/ (cbrt 1) (cbrt x)) (cbrt y)) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (* (/ (/ (cbrt 1) (cbrt x)) (sqrt y)) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (* (/ (/ (cbrt 1) (cbrt x)) y) (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* (cbrt y) (pow x 1/3))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* (sqrt y) (pow x 1/3))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* y (pow x 1/3))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* (cbrt y) (pow x 1/3))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* (sqrt y) (pow x 1/3))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* y (pow x 1/3))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* (cbrt y) (* (cbrt x) (cbrt x)))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* (sqrt y) (* (cbrt x) (cbrt x)))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* y (* (cbrt x) (cbrt x)))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* (cbrt y) (* (cbrt x) (cbrt x)))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* (sqrt y) (* (cbrt x) (cbrt x)))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* y (* (cbrt x) (cbrt x)))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) (* y (* (cbrt x) (cbrt x)))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) y) (/ (/ 1.0 (cbrt x)) (* y (* (cbrt x) (cbrt x)))) (/ (* (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) 1) (pow x 2/3)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (pow (pow x 1/3) 3) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (pow (pow x 1/3) 3) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (pow (pow x 1/3) 3) (sqrt (cbrt x)) (sqrt (cbrt x)) (* 1.0 (- (/ 1 (* x y)) (/ (pow z 2) (* x y)))) (/ 1.0 (* x (* (pow z 2) y))) (/ 1.0 (* x (* (pow z 2) y))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 1.303 * * * [progress]: adding candidates to table 2.959 * * [progress]: iteration 3 / 4 2.959 * * * [progress]: picking best candidate 2.988 * * * * [pick]: Picked # 2.988 * * * [progress]: localizing error 3.000 * * * [progress]: generating rewritten candidates 3.001 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.023 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 2) 3.025 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 3.026 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2) 3.043 * * * [progress]: generating series expansions 3.043 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.043 * [approximate]: Approximating (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in (x z y) around 0 3.048 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 3.048 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 3.051 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 3.051 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 3.052 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 3.056 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 3.056 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 3.056 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 3.057 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 3.063 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 3.063 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 3.064 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 3.064 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 3.066 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in y 3.068 * [approximate]: Approximating (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in (x z y) around 0 3.071 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 3.072 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 3.075 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 3.076 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 3.078 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 3.082 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 3.082 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 3.082 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 3.085 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 3.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 3.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 3.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 3.092 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in y 3.093 * [approximate]: Approximating (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in (x z y) around 0 3.121 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in z 3.122 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in y 3.128 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in z 3.128 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in y 3.130 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in y 3.138 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in z 3.138 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in y 3.138 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in y 3.141 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in y 3.152 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in z 3.152 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in y 3.152 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in y 3.152 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* x y) (* (pow (cbrt -1) 3) (+ (/ 1 (pow z 2)) 1.0)))) in y 3.152 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 2) 3.153 * [approximate]: Approximating (pow x 1/3) in (x) around 0 3.214 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 3.281 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.364 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 3.364 * [approximate]: Approximating (pow x 1/3) in (x) around 0 3.425 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 3.484 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.572 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2) 3.572 * [approximate]: Approximating (pow x 1/3) in (x) around 0 3.628 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 3.694 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.776 * * * [progress]: simplifying candidates 3.780 * [simplify]: Simplifying using # : (- (- (- (log 1.0) (log (cbrt x))) (log (+ 1.0 (* z z)))) (+ (log y) (+ (log (cbrt x)) (log (cbrt x))))) (- (- (- (log 1.0) (log (cbrt x))) (log (+ 1.0 (* z z)))) (+ (log y) (log (* (cbrt x) (cbrt x))))) (- (- (- (log 1.0) (log (cbrt x))) (log (+ 1.0 (* z z)))) (log (* y (* (cbrt x) (cbrt x))))) (- (- (log (/ 1.0 (cbrt x))) (log (+ 1.0 (* z z)))) (+ (log y) (+ (log (cbrt x)) (log (cbrt x))))) (- (- (log (/ 1.0 (cbrt x))) (log (+ 1.0 (* z z)))) (+ (log y) (log (* (cbrt x) (cbrt x))))) (- (- (log (/ 1.0 (cbrt x))) (log (+ 1.0 (* z z)))) (log (* y (* (cbrt x) (cbrt x))))) (- (log (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) (+ (log y) (+ (log (cbrt x)) (log 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x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (- (* 1.0 (/ 1 (* x y))) (* 1.0 (/ (pow z 2) (* x y)))) (- (* 1.0 (/ 1 (* x (* (pow z 2) y)))) (* 1.0 (/ 1 (* x (* (pow z 4) y))))) (- (* 1.0 (/ 1 (* x (* (pow z 2) y)))) (* 1.0 (/ 1 (* x (* (pow z 4) y))))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 3.793 * * [simplify]: iteration 0 : 1232 enodes (cost 2912 ) 3.813 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(sqrt (cbrt x))) (pow x 2/3)) (cbrt (+ 1.0 (* z z)))) (/ (/ (/ 1 (sqrt (cbrt x))) (sqrt (+ 1.0 (* z z)))) y) (/ (/ (/ 1.0 (sqrt (cbrt x))) (pow x 2/3)) (sqrt (+ 1.0 (* z z)))) (/ (/ (/ 1 (sqrt (cbrt x))) 1) y) (/ (/ (/ 1.0 (sqrt (cbrt x))) (pow x 2/3)) (+ 1.0 (* z z))) (/ (/ 1 (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z))))) y) (/ (/ (/ 1.0 (cbrt x)) (pow x 2/3)) (cbrt (+ 1.0 (* z z)))) (/ (/ 1 (sqrt (+ 1.0 (* z z)))) y) (/ (/ (/ 1.0 (cbrt x)) (pow x 2/3)) (sqrt (+ 1.0 (* z z)))) (/ 1 y) (/ (/ (/ 1.0 (cbrt x)) (pow x 2/3)) (+ 1.0 (* z z))) (/ (/ 1 (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z))))) y) (/ (/ (/ 1.0 (cbrt x)) (pow x 2/3)) (cbrt (+ 1.0 (* z z)))) (/ (/ 1 (sqrt (+ 1.0 (* z z)))) y) (/ (/ (/ 1.0 (cbrt x)) (pow x 2/3)) (sqrt (+ 1.0 (* z z)))) (/ 1 y) (/ (/ (/ 1.0 (cbrt x)) (pow x 2/3)) (+ 1.0 (* z z))) (/ (/ 1.0 (* (cbrt (+ 1.0 (* z z))) (cbrt (+ 1.0 (* z z))))) y) (/ (/ (/ 1 (cbrt x)) (pow x 2/3)) (cbrt (+ 1.0 (* z z)))) (/ (/ 1.0 (sqrt (+ 1.0 (* z z)))) y) (/ (/ (/ 1 (cbrt x)) (pow x 2/3)) (sqrt (+ 1.0 (* z z)))) (/ 1.0 y) (/ (/ (/ 1 (cbrt x)) (pow x 2/3)) (+ 1.0 (* z z))) (/ 1 y) (/ (/ (/ 1.0 (cbrt x)) (pow x 2/3)) (+ 1.0 (* z z))) (/ (/ 1.0 (cbrt x)) y) (/ (/ 1 (+ 1.0 (* z z))) (* (cbrt x) (cbrt x))) (/ (/ (/ 1.0 (cbrt x)) (+ (pow 1.0 3) (pow (* z z) 3))) y) (/ (/ (+ (* (pow z 2) (- (pow z 2) 1.0)) (* 1.0 1.0)) (pow x 1/3)) (pow x 1/3)) (/ (/ (/ 1.0 (cbrt x)) (- (* 1.0 1.0) (* (* z z) (* z z)))) y) (/ (- 1.0 (* z z)) (* (cbrt x) (cbrt x))) (/ (/ 1 y) (pow x 2/3)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ 1.0 (cbrt x))) (/ (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z))) y) (/ (pow x 2/3) (/ (cbrt (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (sqrt (/ (/ 1.0 (cbrt x)) (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (cbrt (/ 1.0 (cbrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (cbrt (/ 1.0 (cbrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (cbrt (/ 1.0 (cbrt x)))) (/ (pow x 2/3) (/ (/ (sqrt (/ 1.0 (cbrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (sqrt (/ 1.0 (cbrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (sqrt (/ 1.0 (cbrt x)))) (/ (pow x 2/3) (/ (/ (/ (cbrt 1.0) (cbrt (cbrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ (cbrt 1.0) (cbrt (cbrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (cbrt 1.0) (cbrt (cbrt x)))) (/ (pow x 2/3) (/ (/ (/ (cbrt 1.0) (cbrt (sqrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ (cbrt 1.0) (cbrt (sqrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (cbrt 1.0) (cbrt (sqrt x)))) (/ (pow x 2/3) (/ (/ (/ (cbrt 1.0) (cbrt x)) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ (cbrt 1.0) (cbrt x)) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (cbrt 1.0) (cbrt x))) (/ (pow x 2/3) (/ (/ (/ (cbrt 1.0) (cbrt (cbrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ (cbrt 1.0) (cbrt (cbrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (cbrt 1.0) (cbrt (cbrt x)))) (/ (pow x 2/3) (/ (/ (/ (cbrt 1.0) (sqrt (cbrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ (cbrt 1.0) (sqrt (cbrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (cbrt 1.0) (sqrt (cbrt x)))) (/ (pow x 2/3) (/ (/ (/ (cbrt 1.0) (cbrt x)) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ (cbrt 1.0) (cbrt x)) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (cbrt 1.0) (cbrt x))) (/ (pow x 2/3) (/ (/ (/ (sqrt 1.0) (cbrt (cbrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ (sqrt 1.0) (cbrt (cbrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (sqrt 1.0) (cbrt (cbrt x)))) (/ (pow x 2/3) (/ (/ (/ (sqrt 1.0) (cbrt (sqrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ (sqrt 1.0) (cbrt (sqrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (sqrt 1.0) (cbrt (sqrt x)))) (/ (pow x 2/3) (/ (/ (/ (sqrt 1.0) (cbrt x)) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ (sqrt 1.0) (cbrt x)) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (sqrt 1.0) (cbrt x))) (/ (pow x 2/3) (/ (/ (/ (sqrt 1.0) (cbrt (cbrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ (sqrt 1.0) (cbrt (cbrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (sqrt 1.0) (cbrt (cbrt x)))) (/ (pow x 2/3) (/ (/ (/ (sqrt 1.0) (sqrt (cbrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ (sqrt 1.0) (sqrt (cbrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (sqrt 1.0) (sqrt (cbrt x)))) (/ (pow x 2/3) (/ (/ (/ (sqrt 1.0) (cbrt x)) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ (sqrt 1.0) (cbrt x)) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (sqrt 1.0) (cbrt x))) (/ (pow x 2/3) (/ (/ (/ 1.0 (cbrt (cbrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ 1.0 (cbrt (cbrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ 1.0 (cbrt (cbrt x)))) (/ (pow x 2/3) (/ (/ (/ 1.0 (cbrt (sqrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ 1.0 (cbrt (sqrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ 1.0 (cbrt (sqrt x)))) (/ (pow x 2/3) (/ (/ (/ 1.0 (cbrt x)) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ 1.0 (cbrt x)) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ 1.0 (cbrt x))) (/ (pow x 2/3) (/ (/ (/ 1.0 (cbrt (cbrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ 1.0 (cbrt (cbrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ 1.0 (cbrt (cbrt x)))) (/ (pow x 2/3) (/ (/ (/ 1.0 (sqrt (cbrt x))) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ 1.0 (sqrt (cbrt x))) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ 1.0 (sqrt (cbrt x)))) (/ (pow x 2/3) (/ (/ (/ 1.0 (cbrt x)) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ 1.0 (cbrt x)) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ 1.0 (cbrt x))) (/ (pow x 2/3) (/ (/ (/ 1.0 (cbrt x)) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ 1.0 (cbrt x)) (sqrt (+ 1.0 (* z z)))) y)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ 1.0 (cbrt x))) (/ (pow x 2/3) (/ (/ (/ 1 (cbrt x)) (cbrt (+ 1.0 (* z z)))) y)) (/ (pow x 2/3) (/ (/ (/ 1 (cbrt x)) (sqrt (+ 1.0 (* z z)))) y)) (* (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (pow x 1/3)) (/ (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ 1.0 (cbrt x))) (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (/ (pow x 2/3) (/ (+ (* (pow z 2) (- (pow z 2) 1.0)) (* 1.0 1.0)) y)) (/ (pow x 2/3) (/ (- 1.0 (* z z)) y)) (* (* (+ 1.0 (* z z)) y) (pow x 2/3)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (pow (pow x 1/3) 3) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (pow (pow x 1/3) 3) (sqrt (cbrt x)) (sqrt (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (pow (pow x 1/3) 3) (sqrt (cbrt x)) (sqrt (cbrt x)) (* 1.0 (- (/ 1 (* x y)) (/ (pow z 2) (* x y)))) (* 1.0 (- (/ 1 (* x (* (pow z 2) y))) (/ 1 (* x (* (pow z 4) y))))) (* 1.0 (- (/ 1 (* x (* (pow z 2) y))) (/ 1 (* x (* (pow z 4) y))))) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 3.832 * * * [progress]: adding candidates to table 7.321 * * [progress]: iteration 4 / 4 7.321 * * * [progress]: picking best candidate 7.346 * * * * [pick]: Picked # 7.346 * * * [progress]: localizing error 7.353 * * * [progress]: generating rewritten candidates 7.353 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 7.368 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 7.393 * * * [progress]: generating series expansions 7.393 * * * * [progress]: [ 1 / 2 ] generating series at (2) 7.394 * [approximate]: Approximating (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in (y x z) around 0 7.399 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in x 7.401 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 7.404 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in x 7.407 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 7.410 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in x 7.410 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 7.414 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 7.421 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in x 7.421 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 7.421 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 7.425 * [taylor]: Taking taylor expansion of (/ 1.0 (* x (* (+ (pow z 2) 1.0) y))) in z 7.426 * [approximate]: Approximating (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in (y x z) around 0 7.429 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in x 7.430 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 7.433 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in x 7.433 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 7.434 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 7.439 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in x 7.439 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 7.439 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 7.441 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 7.441 * [approximate]: Approximating (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in (y x z) around 0 7.444 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in x 7.445 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 7.448 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in x 7.448 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 7.449 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 7.454 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in x 7.454 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 7.454 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 7.456 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* x y) (+ (/ 1 (pow z 2)) 1.0))) in z 7.457 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 7.457 * [approximate]: Approximating (/ 1.0 (* x y)) in (y x) around 0 7.458 * [taylor]: Taking taylor expansion of (/ 1.0 (* x y)) in x 7.463 * [taylor]: Taking taylor expansion of (/ 1.0 (* x y)) in x 7.464 * [taylor]: Taking taylor expansion of (/ 1.0 (* x y)) in x 7.466 * [taylor]: Taking taylor expansion of (/ 1.0 (* x y)) in x 7.466 * [approximate]: Approximating (* 1.0 (* x y)) in (y x) around 0 7.467 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 7.468 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 7.469 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 7.472 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 7.475 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 7.475 * [approximate]: Approximating (* 1.0 (* x y)) in (y x) around 0 7.476 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 7.476 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 7.478 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 7.481 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 7.483 * [taylor]: Taking taylor expansion of (* 1.0 (* x y)) in x 7.484 * * * [progress]: simplifying candidates 7.488 * [simplify]: Simplifying using # : (- (- (- (log 1.0) (log y)) (log x)) (log (+ 1.0 (* z z)))) (- (- (log (/ 1.0 y)) (log x)) (log (+ 1.0 (* z z)))) (- (log (/ (/ 1.0 y) x)) (log (+ 1.0 (* z z)))) (log (/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))) (exp (/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))) (/ (/ (/ (* (* 1.0 1.0) 1.0) (* (* y y) y)) (* (* x x) x)) (* (* (+ 1.0 (* z z)) (+ 1.0 (* z z))) (+ 1.0 (* z z)))) (/ (/ (* (* (/ 1.0 y) (/ 1.0 y)) (/ 1.0 y)) (* (* x x) x)) (* (* (+ 1.0 (* z z)) (+ 1.0 (* 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y) (sqrt x)) (/ 1 1) (/ (/ 1.0 y) x) (/ 1.0 (* (cbrt x) (cbrt x))) (/ (/ 1 y) (cbrt x)) (/ 1.0 (sqrt x)) (/ (/ 1 y) (sqrt x)) (/ 1.0 1) (/ (/ 1 y) x) (/ 1 x) (/ x (/ 1.0 y)) (/ (/ 1.0 y) (* (cbrt x) (cbrt x))) (/ (/ 1.0 y) (sqrt x)) (/ (/ 1.0 y) 1) (/ x (cbrt (/ 1.0 y))) (/ x (sqrt (/ 1.0 y))) (/ x (/ (cbrt 1.0) (cbrt y))) (/ x (/ (cbrt 1.0) (sqrt y))) (/ x (/ (cbrt 1.0) y)) (/ x (/ (sqrt 1.0) (cbrt y))) (/ x (/ (sqrt 1.0) (sqrt y))) (/ x (/ (sqrt 1.0) y)) (/ x (/ 1.0 (cbrt y))) (/ x (/ 1.0 (sqrt y))) (/ x (/ 1.0 y)) (/ x (/ 1.0 y)) (/ x (/ 1 y)) (* x y) (- (* 1.0 (/ 1 (* x y))) (* 1.0 (/ (pow z 2) (* x y)))) (/ 1.0 (* x (* (pow z 2) y))) (/ 1.0 (* x (* (pow z 2) y))) (/ 1.0 (* x y)) (/ 1.0 (* x y)) (/ 1.0 (* x y)) 7.502 * * [simplify]: iteration 0 : 1132 enodes (cost 2994 ) 7.520 * * [simplify]: iteration 1 : 4572 enodes (cost 2919 ) 7.573 * * [simplify]: iteration 2 : 5001 enodes (cost 2919 ) 7.588 * [simplify]: Simplified to: (log (/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))) (log (/ (/ (/ 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(sqrt 1.0) (* (cbrt y) (cbrt y))) (* (cbrt x) (cbrt x))) (/ (/ (sqrt 1.0) (cbrt y)) (cbrt x)) (/ (/ (sqrt 1.0) (* (cbrt y) (cbrt y))) (sqrt x)) (/ (/ (sqrt 1.0) (cbrt y)) (sqrt x)) (/ (sqrt 1.0) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1.0) (cbrt y)) x) (/ (/ (sqrt 1.0) (sqrt y)) (* (cbrt x) (cbrt x))) (/ (/ (sqrt 1.0) (sqrt y)) (cbrt x)) (/ (/ (sqrt 1.0) (sqrt y)) (sqrt x)) (/ (/ (sqrt 1.0) (sqrt y)) (sqrt x)) (/ (sqrt 1.0) (sqrt y)) (/ (/ (sqrt 1.0) (sqrt y)) x) (/ (/ (sqrt 1.0) (cbrt x)) (cbrt x)) (/ (/ (sqrt 1.0) y) (cbrt x)) (/ (/ (sqrt 1.0) 1) (sqrt x)) (/ (/ (sqrt 1.0) y) (sqrt x)) (sqrt 1.0) (/ (/ (sqrt 1.0) y) x) (/ (/ 1 (* (cbrt y) (cbrt y))) (* (cbrt x) (cbrt x))) (/ (/ 1.0 (cbrt y)) (cbrt x)) (/ (/ 1 (* (cbrt y) (cbrt y))) (sqrt x)) (/ (/ 1.0 (cbrt y)) (sqrt x)) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ 1.0 (cbrt y)) x) (/ (/ 1 (sqrt y)) (* (cbrt x) (cbrt x))) (/ (/ 1.0 (sqrt y)) (cbrt x)) (/ (/ 1 (sqrt y)) (sqrt x)) (/ (/ 1.0 (sqrt y)) (sqrt x)) (/ 1 (sqrt y)) (/ (/ 1.0 (sqrt y)) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ 1.0 y) (cbrt x)) (/ 1 (sqrt x)) (/ (/ 1.0 y) (sqrt x)) 1 (/ (/ 1.0 y) x) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (/ 1.0 y) (cbrt x)) (/ 1 (sqrt x)) (/ (/ 1.0 y) (sqrt x)) 1 (/ (/ 1.0 y) x) (/ 1.0 (* (cbrt x) (cbrt x))) (/ (/ 1 y) (cbrt x)) (/ 1.0 (sqrt x)) (/ (/ 1 y) (sqrt x)) 1.0 (/ 1 (* x y)) (/ 1 x) (/ x (/ 1.0 y)) (/ (/ 1.0 y) (* (cbrt x) (cbrt x))) (/ (/ 1.0 y) (sqrt x)) (/ 1.0 y) (/ x (cbrt (/ 1.0 y))) (/ x (sqrt (/ 1.0 y))) (/ x (/ (cbrt 1.0) (cbrt y))) (/ x (/ (cbrt 1.0) (sqrt y))) (/ x (/ (cbrt 1.0) y)) (/ x (/ (sqrt 1.0) (cbrt y))) (/ x (/ (sqrt 1.0) (sqrt y))) (/ x (/ (sqrt 1.0) y)) (/ x (/ 1.0 (cbrt y))) (/ x (/ 1.0 (sqrt y))) (/ x (/ 1.0 y)) (/ x (/ 1.0 y)) (* x y) (* x y) (* 1.0 (- (/ 1 (* x y)) (/ (pow z 2) (* x y)))) (/ 1.0 (* x (* (pow z 2) y))) (/ 1.0 (* x (* (pow z 2) y))) (/ (/ 1.0 y) x) (/ (/ 1.0 y) x) (/ (/ 1.0 y) x) 7.590 * * * [progress]: adding candidates to table 9.868 * [progress]: [Phase 3 of 3] Extracting. 9.868 * * [regime]: Finding splitpoints for: (# # # # # #) 9.869 * * * [regime-changes]: Trying 7 branch expressions: ((* z z) (+ 1.0 (* z z)) (* y (+ 1.0 (* z z))) (/ 1.0 x) z y x) 9.869 * * * * [regimes]: Trying to branch on (* z z) from (# # # # # #) 9.922 * * * * [regimes]: Trying to branch on (+ 1.0 (* z z)) from (# # # # # #) 9.973 * * * * [regimes]: Trying to branch on (* y (+ 1.0 (* z z))) from (# # # # # #) 10.031 * * * * [regimes]: Trying to branch on (* y (+ 1.0 (* z z))) from (# #) 10.079 * * * * [regimes]: Trying to branch on (/ 1.0 x) from (# # # # # #) 10.186 * * * * [regimes]: Trying to branch on (/ 1.0 x) from (# # #) 10.230 * * * * [regimes]: Trying to branch on z from (# # # # # #) 10.287 * * * * [regimes]: Trying to branch on y from (# # # # # #) 10.370 * * * * [regimes]: Trying to branch on x from (# # # # # #) 10.431 * * * [regime]: Found split indices: #