22.766 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (* x (- 1.0 (* x y))) 0.021 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 38 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 47 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 47 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (* x (- 1.0 (* x y))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.038 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.041 * * * [progress]: generating series expansions 0.041 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.042 * [approximate]: Approximating (* x (- 1.0 (* x y))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in y 0.048 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in y 0.050 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in y 0.054 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in y 0.057 * [taylor]: Taking taylor expansion of (* x (- 1.0 (* x y))) in y 0.058 * [approximate]: Approximating (/ (- 1.0 (/ 1 (* x y))) x) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.062 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.066 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.070 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.076 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (* x y))) x) in y 0.076 * [approximate]: Approximating (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in y 0.081 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in y 0.085 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in y 0.091 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in y 0.097 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (* x y))) x)) in y 0.098 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.098 * [approximate]: Approximating (- 1.0 (* x y)) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in y 0.099 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in y 0.101 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in y 0.103 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in y 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (* x y)) in y 0.105 * [approximate]: Approximating (- 1.0 (/ 1 (* x y))) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.109 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.114 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.118 * [approximate]: Approximating (- 1.0 (/ 1 (* x y))) in (x y) around 0 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (* x y))) in y 0.133 * * * [progress]: simplifying candidates 0.134 * [simplify]: Simplifying using # : (* x (- 1.0 (* x y))) (+ (log x) (log (- 1.0 (* x y)))) (log (* x (- 1.0 (* x y)))) (exp (* x (- 1.0 (* x y)))) (* (* (* x x) x) (* (* (- 1.0 (* x y)) (- 1.0 (* x y))) (- 1.0 (* x y)))) (* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y))))) (cbrt (* x (- 1.0 (* x y)))) (* (* (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y)))) (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))) (* (sqrt x) (sqrt (- 1.0 (* x y)))) (* (sqrt x) (sqrt (- 1.0 (* x y)))) (* x 1.0) (* x (neg (* x y))) (* x 1.0) (* x (neg (* x y))) (* 1.0 x) (* (neg (* x y)) x) (* 1.0 x) (* (neg (* x y)) x) (* x (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (* x (sqrt (- 1.0 (* x y)))) (* x 1) (* (cbrt x) (- 1.0 (* x y))) (* (sqrt x) (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- (pow 1.0 3) (pow (* x y) 3))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (/ (exp 1.0) (exp (* x y))) (log (- 1.0 (* x y))) (exp (- 1.0 (* x y))) (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))) (cbrt (- 1.0 (* x y))) (* (* (- 1.0 (* x y)) (- 1.0 (* x y))) (- 1.0 (* x y))) (sqrt (- 1.0 (* x y))) (sqrt (- 1.0 (* x y))) (- (pow 1.0 3) (pow (* x y) 3)) (+ (* 1.0 1.0) (+ (* (* x y) (* x y)) (* 1.0 (* x y)))) (neg (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y))) (+ 1.0 (* x y)) (neg (* x y)) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (- 1.0 (* x y)) (- 1.0 (* x y)) (- 1.0 (* x y)) 0.137 * * [simplify]: iteration 0 : 138 enodes (cost 190 ) 0.140 * * [simplify]: iteration 1 : 581 enodes (cost 168 ) 0.154 * * [simplify]: iteration 2 : 3052 enodes (cost 168 ) 0.220 * * [simplify]: iteration 3 : 5001 enodes (cost 168 ) 0.222 * [simplify]: Simplified to: (* x (- 1.0 (* x y))) (log (* x (- 1.0 (* x y)))) (log (* x (- 1.0 (* x y)))) (exp (* x (- 1.0 (* x y)))) (pow (* x (- 1.0 (* x y))) 3) (* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y))))) (cbrt (* x (- 1.0 (* x y)))) (pow (* x (- 1.0 (* x y))) 3) (sqrt (* x (- 1.0 (* x y)))) (sqrt (* x (- 1.0 (* x y)))) (* (sqrt (- 1.0 (* x y))) (pow x 1/2)) (* (sqrt (- 1.0 (* x y))) (pow x 1/2)) (* x 1.0) (* x (neg (* x y))) (* x 1.0) (* x (neg (* x y))) (* x 1.0) (* x (neg (* x y))) (* x 1.0) (* x (neg (* x y))) (* x (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (* x (sqrt (- 1.0 (* x y)))) x (* (cbrt x) (- 1.0 (* x y))) (* (sqrt x) (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- (pow 1.0 3) (pow (* x y) 3))) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (exp (- 1.0 (* x y))) (log (- 1.0 (* x y))) (exp (- 1.0 (* x y))) (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))) (cbrt (- 1.0 (* x y))) (pow (- 1.0 (* x y)) 3) (sqrt (- 1.0 (* x y))) (sqrt (- 1.0 (* x y))) (- (pow 1.0 3) (pow (* x y) 3)) (+ (* (* x y) (+ (* x y) 1.0)) (* 1.0 1.0)) (neg (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y))) (+ 1.0 (* x y)) (neg (* x y)) (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (- 1.0 (* x y)) (- 1.0 (* x y)) (- 1.0 (* x y)) 0.222 * * * [progress]: adding candidates to table 0.284 * * [progress]: iteration 2 / 4 0.284 * * * [progress]: picking best candidate 0.311 * * * * [pick]: Picked # 0.311 * * * [progress]: localizing error 0.318 * * * [progress]: generating rewritten candidates 0.318 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.322 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.326 * * * [progress]: generating series expansions 0.326 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.327 * [approximate]: Approximating (* -1 (* (pow x 2) y)) in (x y) around 0 0.327 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in y 0.329 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in y 0.331 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in y 0.334 * [taylor]: Taking taylor expansion of (* -1 (* (pow x 2) y)) in y 0.335 * [approximate]: Approximating (/ -1 (* (pow x 2) y)) in (x y) around 0 0.336 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 2) y)) in y 0.337 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 2) y)) in y 0.339 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 2) y)) in y 0.342 * [taylor]: Taking taylor expansion of (/ -1 (* (pow x 2) y)) in y 0.345 * [approximate]: Approximating (/ 1 (* (pow x 2) y)) in (x y) around 0 0.347 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) y)) in y 0.353 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.353 * [approximate]: Approximating (- (* 1.0 x) (* (pow x 2) y)) in (x y) around 0 0.354 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in y 0.356 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in y 0.357 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in y 0.359 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in y 0.362 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* (pow x 2) y)) in y 0.363 * [approximate]: Approximating (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in (x y) around 0 0.365 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in y 0.367 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in y 0.372 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in y 0.376 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in y 0.382 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* (pow x 2) y))) in y 0.382 * [approximate]: Approximating (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in (x y) around 0 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in y 0.387 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in y 0.390 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in y 0.395 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in y 0.400 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) y)) (* 1.0 (/ 1 x))) in y 0.401 * * * [progress]: simplifying candidates 0.401 * [simplify]: Simplifying using # : (* x (neg (* x y))) (+ (log x) (log (neg (* x y)))) (log (* x (neg (* x y)))) (exp (* x (neg (* x y)))) (* (* (* x x) x) (* (* (neg (* x y)) (neg (* x y))) (neg (* x y)))) (* (cbrt (* x (neg (* x y)))) (cbrt (* x (neg (* x y))))) (cbrt (* x (neg (* x y)))) (* (* (* x (neg (* x y))) (* x (neg (* x y)))) (* x (neg (* x y)))) (sqrt (* x (neg (* x y)))) (sqrt (* x (neg (* x y)))) (* (sqrt x) (sqrt (neg (* x y)))) (* (sqrt x) (sqrt (neg (* x y)))) (* x (* x y)) (* x (* (cbrt (neg (* x y))) (cbrt (neg (* x y))))) (* x (sqrt (neg (* x y)))) (* x 1) (* x -1) (* x (neg x)) (* x x) (* (cbrt x) (neg (* x y))) (* (sqrt x) (neg (* x y))) (* x (neg (* x y))) (* (exp (* x 1.0)) (exp (* x (neg (* x y))))) (log (+ (* x 1.0) (* x (neg (* x y))))) (exp (+ (* x 1.0) (* x (neg (* x y))))) (* (cbrt (+ (* x 1.0) (* x (neg (* x y))))) (cbrt (+ (* x 1.0) (* x (neg (* x y)))))) (cbrt (+ (* x 1.0) (* x (neg (* x y))))) (* (* (+ (* x 1.0) (* x (neg (* x y)))) (+ (* x 1.0) (* x (neg (* x y))))) (+ (* x 1.0) (* x (neg (* x y))))) (sqrt (+ (* x 1.0) (* x (neg (* x y))))) (sqrt (+ (* x 1.0) (* x (neg (* x y))))) (+ (pow (* x 1.0) 3) (pow (* x (neg (* x y))) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* x (neg (* x y))) (* x (neg (* x y)))) (* (* x 1.0) (* x (neg (* x y)))))) (- (* (* x 1.0) (* x 1.0)) (* (* x (neg (* x y))) (* x (neg (* x y))))) (- (* x 1.0) (* x (neg (* x y)))) (+ 1.0 (neg (* x y))) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) (- (* 1.0 x) (* (pow x 2) y)) 0.404 * * [simplify]: iteration 0 : 181 enodes (cost 210 ) 0.409 * * [simplify]: iteration 1 : 1035 enodes (cost 183 ) 0.441 * * [simplify]: iteration 2 : 5001 enodes (cost 179 ) 0.442 * [simplify]: Simplified to: (* -1 (* (pow x 2) y)) (log (* x (neg (* x y)))) (log (* x (neg (* x y)))) (exp (* x (neg (* x y)))) (pow (* x (neg (* x y))) 3) (* (cbrt (* x (neg (* x y)))) (cbrt (* x (neg (* x y))))) (cbrt (* x (neg (* x y)))) (pow (* x (neg (* x y))) 3) (sqrt (* x (neg (* x y)))) (sqrt (* x (neg (* x y)))) (* (sqrt (neg (* x y))) (pow x 1/2)) (* (sqrt (neg (* x y))) (pow x 1/2)) (* x (* x y)) (* x (* (cbrt (neg (* x y))) (cbrt (neg (* x y))))) (* x (sqrt (neg (* x y)))) x (* x -1) (* x (neg x)) (pow x 2) (* (cbrt x) (neg (* x y))) (* (sqrt x) (neg (* x y))) (* -1 (* (pow x 2) y)) (pow (exp x) (- 1.0 (* x y))) (+ (log x) (log (- 1.0 (* x y)))) (pow (exp x) (- 1.0 (* x y))) (* (cbrt (+ (* x 1.0) (* x (neg (* x y))))) (cbrt (+ (* x 1.0) (* x (neg (* x y)))))) (cbrt (+ (* x 1.0) (* x (neg (* x y))))) (pow (* x (- 1.0 (* x y))) 3) (sqrt (+ (* x 1.0) (* x (neg (* x y))))) (sqrt (+ (* x 1.0) (* x (neg (* x y))))) (+ (pow (* x 1.0) 3) (pow (* x (neg (* x y))) 3)) (* x (+ (* 1.0 (* x 1.0)) (* (neg (* x y)) (* x (- (neg (* x y)) 1.0))))) (* (pow x 2) (- (* 1.0 1.0) (* (* x y) (* x y)))) (* x (+ 1.0 (* x y))) (- 1.0 (* x y)) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) (* -1 (* (pow x 2) y)) (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y))) (* x (- 1.0 (* x y))) 0.443 * * * [progress]: adding candidates to table 0.531 * * [progress]: iteration 3 / 4 0.531 * * * [progress]: picking best candidate 0.543 * * * * [pick]: Picked # 0.543 * * * [progress]: localizing error 0.552 * * * [progress]: generating rewritten candidates 0.552 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.553 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.554 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.555 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.561 * * * [progress]: generating series expansions 0.562 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.562 * [approximate]: Approximating (pow x 1/3) in (x) around 0 0.619 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 0.679 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.756 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.756 * [approximate]: Approximating (pow x 1/3) in (x) around 0 0.817 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 0.875 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 0.959 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.960 * [approximate]: Approximating (pow x 1/3) in (x) around 0 1.013 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 1.077 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.156 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.157 * [approximate]: Approximating (pow (pow x 2) 1/3) in (x) around 0 1.222 * [approximate]: Approximating (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 1.290 * [approximate]: Approximating (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 1.383 * * * [progress]: simplifying candidates 1.384 * [simplify]: Simplifying using # : (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)) (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)) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (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)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.387 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 1.391 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 1.404 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 1.469 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 1.471 * [simplify]: Simplified to: (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) 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)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) 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)) 1 (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) 2/3 2 (pow x 2) (pow x 2/3) 2 (* 2/3 (log x)) (* 2/3 (log x)) (exp (pow x 2/3)) (pow x 2) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (pow x 2) (fabs (pow x 1/3)) (fabs (pow x 1/3)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (pow x 1/3) (pow x 1/3) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (pow x 1/3) (pow x 1/3) 2/3 2 (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (pow x 1/3) (pow (cbrt (cbrt x)) 5) (pow (sqrt (cbrt x)) 3) (pow x 1/3) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (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)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 1.471 * * * [progress]: adding candidates to table 1.681 * * [progress]: iteration 4 / 4 1.681 * * * [progress]: picking best candidate 1.697 * * * * [pick]: Picked # 1.697 * * * [progress]: localizing error 1.710 * * * [progress]: generating rewritten candidates 1.710 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.711 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 1.712 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1) 1.713 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1 1) 1.715 * * * [progress]: generating series expansions 1.715 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.715 * [approximate]: Approximating (pow x 1/3) in (x) around 0 1.775 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 1.839 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 1.920 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 1.920 * [approximate]: Approximating (pow x 1/3) in (x) around 0 1.973 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 2.037 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.116 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1) 2.116 * [approximate]: Approximating (pow x 1/3) in (x) around 0 2.177 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 2.242 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.321 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1 1) 2.321 * [approximate]: Approximating (pow x 1/3) in (x) around 0 2.381 * [approximate]: Approximating (pow (/ 1 x) 1/3) in (x) around 0 2.446 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.524 * * * [progress]: simplifying candidates 2.525 * [simplify]: Simplifying using # : (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)) (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)) (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)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.527 * * [simplify]: iteration 0 : 40 enodes (cost 156 ) 2.529 * * [simplify]: iteration 1 : 81 enodes (cost 144 ) 2.531 * * [simplify]: iteration 2 : 193 enodes (cost 136 ) 2.535 * * [simplify]: iteration 3 : 696 enodes (cost 136 ) 2.556 * * [simplify]: iteration 4 : 4103 enodes (cost 136 ) 2.649 * * [simplify]: iteration 5 : 5002 enodes (cost 136 ) 2.650 * [simplify]: Simplified to: (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)) 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) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) 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) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) 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) (pow x 1/3) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (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)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) 2.650 * * * [progress]: adding candidates to table 2.856 * [progress]: [Phase 3 of 3] Extracting. 2.857 * * [regime]: Finding splitpoints for: (# # # # # #) 2.857 * * * [regime-changes]: Trying 3 branch expressions: ((* x (- 1.0 (* x y))) y x) 2.858 * * * * [regimes]: Trying to branch on (* x (- 1.0 (* x y))) from (# # # # # #) 2.906 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.954 * * * * [regimes]: Trying to branch on x from (# # # # # #) 3.003 * * * [regime]: Found split indices: #