21.199 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.040 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying using # : (+ (+ x (sin y)) (* z (cos y))) 0.046 * * [simplify]: iteration 0 : 13 enodes (cost 5 ) 0.047 * * [simplify]: iteration 1 : 20 enodes (cost 5 ) 0.048 * * [simplify]: iteration 2 : 22 enodes (cost 5 ) 0.049 * * [simplify]: iteration 3 : 22 enodes (cost 5 ) 0.049 * [simplify]: Simplified to: (+ (+ x (sin y)) (* z (cos y))) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.071 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.077 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.081 * [approximate]: Approximating (* (cos y) z) in (z y) around 0 0.082 * [taylor]: Taking taylor expansion of (* (cos y) z) in y 0.085 * [taylor]: Taking taylor expansion of (* (cos y) z) in y 0.088 * [taylor]: Taking taylor expansion of (* (cos y) z) in y 0.092 * [taylor]: Taking taylor expansion of (* (cos y) z) in y 0.092 * [approximate]: Approximating (/ (cos (/ 1 y)) z) in (z y) around 0 0.094 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 0.097 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 0.101 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 0.106 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 0.106 * [approximate]: Approximating (* -1 (/ (cos (/ -1 y)) z)) in (z y) around 0 0.108 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 0.112 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 0.117 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 0.123 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 0.124 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.124 * [approximate]: Approximating (+ x (+ (sin y) (* z (cos y)))) in (x y z) around 0 0.125 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in y 0.125 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in z 0.130 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in y 0.130 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in z 0.131 * [taylor]: Taking taylor expansion of (+ x (+ (sin y) (* z (cos y)))) in z 0.132 * [approximate]: Approximating (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in (x y z) around 0 0.136 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in y 0.136 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in z 0.137 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in y 0.138 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in z 0.138 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in z 0.150 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in y 0.150 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in z 0.151 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in z 0.151 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (+ (/ (cos (/ 1 y)) z) (/ 1 x))) in z 0.154 * [approximate]: Approximating (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in (x y z) around 0 0.159 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in y 0.159 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in z 0.160 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in y 0.161 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in z 0.161 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in z 0.167 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in y 0.167 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in z 0.168 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in z 0.168 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (+ (/ (cos (/ -1 y)) z) (/ 1 x))) in z 0.172 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.172 * [approximate]: Approximating (+ x (sin y)) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (+ x (sin y)) in y 0.175 * [taylor]: Taking taylor expansion of (+ x (sin y)) in y 0.178 * [taylor]: Taking taylor expansion of (+ x (sin y)) in y 0.182 * [taylor]: Taking taylor expansion of (+ x (sin y)) in y 0.182 * [approximate]: Approximating (+ (sin (/ 1 y)) (/ 1 x)) in (x y) around 0 0.184 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ 1 x)) in y 0.185 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ 1 x)) in y 0.188 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ 1 x)) in y 0.191 * [taylor]: Taking taylor expansion of (+ (sin (/ 1 y)) (/ 1 x)) in y 0.191 * [approximate]: Approximating (- (sin (/ -1 y)) (/ 1 x)) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ 1 x)) in y 0.194 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ 1 x)) in y 0.198 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ 1 x)) in y 0.202 * [taylor]: Taking taylor expansion of (- (sin (/ -1 y)) (/ 1 x)) in y 0.202 * * * [progress]: simplifying candidates 0.203 * [simplify]: Simplifying using # : (* z (cos y)) (+ (log z) (log (cos y))) (log (* z (cos y))) (exp (* z (cos y))) (* (* (* z z) z) (* (* (cos y) (cos y)) (cos y))) (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (cbrt (* z (cos y))) (* (* (* z (cos y)) (* z (cos y))) (* z (cos y))) (sqrt (* z (cos y))) (sqrt (* z (cos y))) (* (sqrt z) (sqrt (cos y))) (* (sqrt z) (sqrt (cos y))) (* z (* (cbrt (cos y)) (cbrt (cos y)))) (* z (sqrt (cos y))) (* z 1) (* (cbrt z) (cos y)) (* (sqrt z) (cos y)) (* z (cos y)) (* (* (exp x) (exp (sin y))) (exp (* z (cos y)))) (* (exp (+ x (sin y))) (exp (* z (cos y)))) (log (+ (+ x (sin y)) (* z (cos y)))) (exp (+ (+ x (sin y)) (* z (cos y)))) (* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y))))) (cbrt (+ (+ x (sin y)) (* z (cos y)))) (* (* (+ (+ x (sin y)) (* z (cos y))) (+ (+ x (sin y)) (* z (cos y)))) (+ (+ x (sin y)) (* z (cos y)))) (sqrt (+ (+ x (sin y)) (* z (cos y)))) (sqrt (+ (+ x (sin y)) (* z (cos y)))) (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (+ (* (+ x (sin y)) (+ x (sin y))) (- (* (* z (cos y)) (* z (cos y))) (* (+ x (sin y)) (* z (cos y))))) (- (* (+ x (sin y)) (+ x (sin y))) (* (* z (cos y)) (* z (cos y)))) (- (+ x (sin y)) (* z (cos y))) (+ (sin y) (* z (cos y))) (* (exp x) (exp (sin y))) (log (+ x (sin y))) (exp (+ x (sin y))) (* (cbrt (+ x (sin y))) (cbrt (+ x (sin y)))) (cbrt (+ x (sin y))) (* (* (+ x (sin y)) (+ x (sin y))) (+ x (sin y))) (sqrt (+ x (sin y))) (sqrt (+ x (sin y))) (+ (pow x 3) (pow (sin y) 3)) (+ (* x x) (- (* (sin y) (sin y)) (* x (sin y)))) (- (* x x) (* (sin y) (sin y))) (- x (sin y)) (+ x (sin y)) z (* z (cos y)) (* z (cos y)) (+ x (+ z y)) (+ x (+ (sin y) (* z (cos y)))) (+ x (+ (sin y) (* z (cos y)))) (+ x y) (+ x (sin y)) (+ x (sin y)) 0.206 * * [simplify]: iteration 0 : 196 enodes (cost 244 ) 0.209 * * [simplify]: iteration 1 : 694 enodes (cost 228 ) 0.222 * * [simplify]: iteration 2 : 2608 enodes (cost 228 ) 0.267 * * [simplify]: iteration 3 : 5001 enodes (cost 228 ) 0.269 * [simplify]: Simplified to: (* z (cos y)) (log (* z (cos y))) (log (* z (cos y))) (exp (* z (cos y))) (pow (* z (cos y)) 3) (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (cbrt (* z (cos y))) (pow (* z (cos y)) 3) (sqrt (* z (cos y))) (sqrt (* z (cos y))) (* (sqrt z) (sqrt (cos y))) (* (sqrt z) (sqrt (cos y))) (* z (* (cbrt (cos y)) (cbrt (cos y)))) (* z (sqrt (cos y))) z (* (cbrt z) (cos y)) (* (sqrt z) (cos y)) (* z (cos y)) (exp (+ (+ x (sin y)) (* z (cos y)))) (exp (+ (+ x (sin y)) (* z (cos y)))) (log (+ (+ x (sin y)) (* z (cos y)))) (exp (+ (+ x (sin y)) (* z (cos y)))) (* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y))))) (cbrt (+ (+ x (sin y)) (* z (cos y)))) (pow (+ x (+ (sin y) (* z (cos y)))) 3) (sqrt (+ (+ x (sin y)) (* z (cos y)))) (sqrt (+ (+ x (sin y)) (* z (cos y)))) (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (+ (* (* z (cos y)) (- (* z (cos y)) (+ x (sin y)))) (* (+ x (sin y)) (+ x (sin y)))) (- (* (+ x (sin y)) (+ x (sin y))) (* (* z (cos y)) (* z (cos y)))) (- (+ x (sin y)) (* z (cos y))) (+ (sin y) (* z (cos y))) (exp (+ x (sin y))) (log (+ x (sin y))) (exp (+ x (sin y))) (* (cbrt (+ x (sin y))) (cbrt (+ x (sin y)))) (cbrt (+ x (sin y))) (pow (+ x (sin y)) 3) (sqrt (+ x (sin y))) (sqrt (+ x (sin y))) (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (* x x)) (- (* x x) (* (sin y) (sin y))) (- x (sin y)) (+ x (sin y)) z (* z (cos y)) (* z (cos y)) (+ x (+ z y)) (+ x (+ (sin y) (* z (cos y)))) (+ x (+ (sin y) (* z (cos y)))) (+ x y) (+ x (sin y)) (+ x (sin y)) 0.269 * * * [progress]: adding candidates to table 0.561 * * [progress]: iteration 2 / 4 0.561 * * * [progress]: picking best candidate 0.583 * * * * [pick]: Picked # 0.584 * * * [progress]: localizing error 0.600 * * * [progress]: generating rewritten candidates 0.600 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.602 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.604 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.607 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.613 * * * [progress]: generating series expansions 0.613 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.613 * [approximate]: Approximating (pow (* z (cos y)) 1/3) in (z y) around 0 0.621 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.627 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.638 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.654 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.679 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.679 * [approximate]: Approximating (pow (/ (cos (/ 1 y)) z) 1/3) in (z y) around 0 0.682 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 0.688 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 0.699 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 0.713 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 0.714 * [approximate]: Approximating (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in (z y) around 0 0.720 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 0.728 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 0.741 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 0.762 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 0.763 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.763 * [approximate]: Approximating (pow (* z (cos y)) 1/3) in (z y) around 0 0.770 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.776 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.788 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.804 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.825 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.825 * [approximate]: Approximating (pow (/ (cos (/ 1 y)) z) 1/3) in (z y) around 0 0.828 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 0.834 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 0.847 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 0.862 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 0.862 * [approximate]: Approximating (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in (z y) around 0 0.868 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 0.877 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 0.889 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 0.908 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 0.909 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.909 * [approximate]: Approximating (pow (* z (cos y)) 1/3) in (z y) around 0 0.919 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.925 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.935 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.951 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.972 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 0.973 * [approximate]: Approximating (pow (/ (cos (/ 1 y)) z) 1/3) in (z y) around 0 0.975 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 0.982 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 0.994 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 1.009 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 1.009 * [approximate]: Approximating (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in (z y) around 0 1.015 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 1.023 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 1.036 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 1.055 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 1.055 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.055 * [approximate]: Approximating (pow (* (pow (cos y) 2) (pow z 2)) 1/3) in (z y) around 0 1.059 * [taylor]: Taking taylor expansion of (pow (* (pow (cos y) 2) (pow z 2)) 1/3) in y 1.065 * [taylor]: Taking taylor expansion of (pow (* (pow (cos y) 2) (pow z 2)) 1/3) in y 1.080 * [taylor]: Taking taylor expansion of (pow (* (pow (cos y) 2) (pow z 2)) 1/3) in y 1.097 * [taylor]: Taking taylor expansion of (pow (* (pow (cos y) 2) (pow z 2)) 1/3) in y 1.121 * [taylor]: Taking taylor expansion of (pow (* (pow (cos y) 2) (pow z 2)) 1/3) in y 1.121 * [approximate]: Approximating (pow (/ (pow (cos (/ 1 y)) 2) (pow z 2)) 1/3) in (z y) around 0 1.126 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (/ 1 y)) 2) (pow z 2)) 1/3) in y 1.134 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (/ 1 y)) 2) (pow z 2)) 1/3) in y 1.146 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (/ 1 y)) 2) (pow z 2)) 1/3) in y 1.167 * [taylor]: Taking taylor expansion of (pow (/ (pow (cos (/ 1 y)) 2) (pow z 2)) 1/3) in y 1.168 * [approximate]: Approximating (* (pow (cbrt -1) 2) (pow (/ (pow (cos (/ -1 y)) 2) (pow z 2)) 1/3)) in (z y) around 0 1.177 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (cos (/ -1 y)) 2) (pow z 2)) 1/3)) in y 1.190 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (cos (/ -1 y)) 2) (pow z 2)) 1/3)) in y 1.206 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (cos (/ -1 y)) 2) (pow z 2)) 1/3)) in y 1.230 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ (pow (cos (/ -1 y)) 2) (pow z 2)) 1/3)) in y 1.231 * * * [progress]: simplifying candidates 1.232 * [simplify]: Simplifying using # : (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (cbrt z) (cbrt (cos y)) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (cbrt z) (cbrt (cos y)) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (cbrt z) (cbrt (cos y)) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (+ 1/3 1/3) (+ 1 1) (* (* z (cos y)) (* z (cos y))) (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (+ 1 1) (+ (log (cbrt (* z (cos y)))) (log (cbrt (* z (cos y))))) (log (* (cbrt (* z (cos y))) (cbrt (* z (cos y))))) (exp (* (cbrt (* z (cos y))) (cbrt (* z (cos y))))) (* (* z (cos y)) (* z (cos y))) (* (cbrt (* (cbrt (* z (cos y))) (cbrt (* z (cos y))))) (cbrt (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))))) (cbrt (* (cbrt (* z (cos y))) (cbrt (* z (cos y))))) (* (* (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (* (cbrt (* z (cos y))) (cbrt (* z (cos y))))) (* (cbrt (* z (cos y))) (cbrt (* z (cos y))))) (sqrt (* (cbrt (* z (cos y))) (cbrt (* z (cos y))))) (sqrt (* (cbrt (* z (cos y))) (cbrt (* z (cos y))))) (* (cbrt z) (cbrt z)) (* (cbrt (cos y)) (cbrt (cos y))) (* (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y)))))) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (* (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y))))) (* (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y))))) (* 1 1) (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (* (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y))))) (* (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y))))) (* 2 1/3) (* 2 1) (* (cbrt (* z (cos y))) (cbrt z)) (* (cbrt (* z (cos y))) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y)))))) (* (cbrt (* z (cos y))) (sqrt (cbrt (* z (cos y))))) (* (cbrt (* z (cos y))) 1) (* (cbrt (cos y)) (cbrt (* z (cos y)))) (* (cbrt (cbrt (* z (cos y)))) (cbrt (* z (cos y)))) (* (sqrt (cbrt (* z (cos y)))) (cbrt (* z (cos y)))) (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (- (pow z 1/3) (* 1/6 (* (pow z 1/3) (pow y 2)))) (exp (* 1/3 (- (log (cos y)) (log (/ 1 z))))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) (- (pow z 1/3) (* 1/6 (* (pow z 1/3) (pow y 2)))) (exp (* 1/3 (- (log (cos y)) (log (/ 1 z))))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) (- (pow z 1/3) (* 1/6 (* (pow z 1/3) (pow y 2)))) (exp (* 1/3 (- (log (cos y)) (log (/ 1 z))))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) (- (pow z 2/3) (* 1/3 (* (pow (pow z 2) 1/3) (pow y 2)))) (exp (* 1/3 (- (log (pow (cos y) 2)) (* 2 (log (/ 1 z)))))) (* (exp (* 1/3 (- (log (pow (cos y) 2)) (* 2 (log (/ -1 z)))))) (pow (cbrt -1) 2)) 1.236 * * [simplify]: iteration 0 : 175 enodes (cost 423 ) 1.239 * * [simplify]: iteration 1 : 691 enodes (cost 372 ) 1.257 * * [simplify]: iteration 2 : 3601 enodes (cost 342 ) 1.351 * * [simplify]: iteration 3 : 5002 enodes (cost 317 ) 1.354 * [simplify]: Simplified to: (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (pow z 1/3) (cbrt (cos y)) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* z (cos y)) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (pow z 1/3) (cbrt (cos y)) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* z (cos y)) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (pow z 1/3) (cbrt (cos y)) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* z (cos y)) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) 2/3 2 (* (pow z 2) (pow (cos y) 2)) (* (pow (cos y) 2/3) (pow z 2/3)) 2 (* 2 (log (cbrt (* z (cos y))))) (* 2 (log (cbrt (* z (cos y))))) (pow (exp 1) (pow (sqrt (cbrt (* z (cos y)))) 4)) (* (pow z 2) (pow (cos y) 2)) (* (cbrt (* (cbrt (* z (cos y))) (cbrt (* z (cos y))))) (cbrt (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))))) (cbrt (* (cbrt (* z (cos y))) (cbrt (* z (cos y))))) (* (pow z 2) (pow (cos y) 2)) (cbrt (* z (cos y))) (cbrt (* z (cos y))) (pow z 2/3) (* (cbrt (cos y)) (cbrt (cos y))) (pow (cbrt (cbrt (* z (cos y)))) 4) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (* z (cos y))) (cbrt (* z (cos y))) 1 (* (pow (cos y) 2/3) (pow z 2/3)) (cbrt (* z (cos y))) (cbrt (* z (cos y))) 2/3 2 (* (cbrt (* z (cos y))) (cbrt z)) (pow (cbrt (cbrt (* z (cos y)))) 5) (pow (sqrt (cbrt (* z (cos y)))) 3) (cbrt (* z (cos y))) (* (cbrt (cos y)) (cbrt (* z (cos y)))) (pow (cbrt (cbrt (* z (cos y)))) 4) (pow (sqrt (cbrt (* z (cos y)))) 3) (* (pow (cos y) 2/3) (pow z 2/3)) (- (pow z 1/3) (* 1/6 (* (pow z 1/3) (pow y 2)))) (cbrt (* z (cos y))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) (- (pow z 1/3) (* 1/6 (* (pow z 1/3) (pow y 2)))) (cbrt (* z (cos y))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) (- (pow z 1/3) (* 1/6 (* (pow z 1/3) (pow y 2)))) (cbrt (* z (cos y))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) (- (pow z 2/3) (* 1/3 (* (pow (pow z 2) 1/3) (pow y 2)))) (* (pow (cos y) 2/3) (pow z 2/3)) (* (exp (* 1/3 (- (log (pow (cos y) 2)) (* 2 (log (/ -1 z)))))) (pow (cbrt -1) 2)) 1.354 * * * [progress]: adding candidates to table 1.585 * * [progress]: iteration 3 / 4 1.585 * * * [progress]: picking best candidate 1.602 * * * * [pick]: Picked # 1.603 * * * [progress]: localizing error 1.624 * * * [progress]: generating rewritten candidates 1.624 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.626 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) 1.628 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.631 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.634 * * * [progress]: generating series expansions 1.634 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.634 * [approximate]: Approximating (pow (* z (cos y)) 1/3) in (z y) around 0 1.641 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.647 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.658 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.675 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.696 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.697 * [approximate]: Approximating (pow (/ (cos (/ 1 y)) z) 1/3) in (z y) around 0 1.700 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 1.708 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 1.718 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 1.734 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 1.734 * [approximate]: Approximating (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in (z y) around 0 1.741 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 1.749 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 1.762 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 1.781 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 1.784 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1) 1.784 * [approximate]: Approximating (pow (* z (cos y)) 1/3) in (z y) around 0 1.791 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.797 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.808 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.824 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.846 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.846 * [approximate]: Approximating (pow (/ (cos (/ 1 y)) z) 1/3) in (z y) around 0 1.849 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 1.855 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 1.868 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 1.883 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 1.883 * [approximate]: Approximating (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in (z y) around 0 1.889 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 1.897 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 1.910 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 1.928 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 1.929 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1) 1.929 * [approximate]: Approximating (pow (* z (cos y)) 1/3) in (z y) around 0 1.937 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.946 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.956 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.972 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.993 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 1.994 * [approximate]: Approximating (pow (/ (cos (/ 1 y)) z) 1/3) in (z y) around 0 1.996 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 2.002 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 2.013 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 2.029 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 2.030 * [approximate]: Approximating (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in (z y) around 0 2.036 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 2.044 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 2.057 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 2.075 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 2.076 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1) 2.076 * [approximate]: Approximating (pow (* z (cos y)) 1/3) in (z y) around 0 2.083 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 2.090 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 2.103 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 2.119 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 2.141 * [taylor]: Taking taylor expansion of (pow (* z (cos y)) 1/3) in y 2.141 * [approximate]: Approximating (pow (/ (cos (/ 1 y)) z) 1/3) in (z y) around 0 2.144 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 2.150 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 2.160 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 2.178 * [taylor]: Taking taylor expansion of (pow (/ (cos (/ 1 y)) z) 1/3) in y 2.178 * [approximate]: Approximating (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in (z y) around 0 2.184 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 2.193 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 2.206 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 2.224 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (cos (/ -1 y)) z) 1/3)) in y 2.225 * * * [progress]: simplifying candidates 2.226 * [simplify]: Simplifying using # : (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (cbrt z) (cbrt (cos y)) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (cbrt z) (cbrt (cos y)) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (cbrt z) (cbrt (cos y)) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (cbrt z) (cbrt (cos y)) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* (* (cbrt (* z (cos y))) (cbrt (* z (cos y)))) (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (- (pow z 1/3) (* 1/6 (* (pow z 1/3) (pow y 2)))) (exp (* 1/3 (- (log (cos y)) (log (/ 1 z))))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) (- (pow z 1/3) (* 1/6 (* (pow z 1/3) (pow y 2)))) (exp (* 1/3 (- (log (cos y)) (log (/ 1 z))))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) (- (pow z 1/3) (* 1/6 (* (pow z 1/3) (pow y 2)))) (exp (* 1/3 (- (log (cos y)) (log (/ 1 z))))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) (- (pow z 1/3) (* 1/6 (* (pow z 1/3) (pow y 2)))) (exp (* 1/3 (- (log (cos y)) (log (/ 1 z))))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) 2.228 * * [simplify]: iteration 0 : 70 enodes (cost 260 ) 2.230 * * [simplify]: iteration 1 : 170 enodes (cost 232 ) 2.233 * * [simplify]: iteration 2 : 665 enodes (cost 220 ) 2.251 * * [simplify]: iteration 3 : 4017 enodes (cost 204 ) 2.375 * * [simplify]: iteration 4 : 5001 enodes (cost 204 ) 2.376 * [simplify]: Simplified to: (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (pow z 1/3) (pow (cos y) 1/3) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* z (cos y)) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (pow z 1/3) (pow (cos y) 1/3) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* z (cos y)) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (pow z 1/3) (pow (cos y) 1/3) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* z (cos y)) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (log (cbrt (* z (cos y)))) (exp (cbrt (* z (cos y)))) (pow z 1/3) (pow (cos y) 1/3) (* (cbrt (cbrt (* z (cos y)))) (cbrt (cbrt (* z (cos y))))) (cbrt (cbrt (* z (cos y)))) (* z (cos y)) (sqrt (cbrt (* z (cos y)))) (sqrt (cbrt (* z (cos y)))) (* (+ (* -1/6 (pow y 2)) 1) (pow z 1/3)) (cbrt (* z (cos y))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) (* (+ (* -1/6 (pow y 2)) 1) (pow z 1/3)) (cbrt (* z (cos y))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) (* (+ (* -1/6 (pow y 2)) 1) (pow z 1/3)) (cbrt (* z (cos y))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) (* (+ (* -1/6 (pow y 2)) 1) (pow z 1/3)) (cbrt (* z (cos y))) (* (cbrt -1) (exp (* 1/3 (- (log (cos y)) (log (/ -1 z)))))) 2.376 * * * [progress]: adding candidates to table 2.569 * * [progress]: iteration 4 / 4 2.569 * * * [progress]: picking best candidate 2.582 * * * * [pick]: Picked # 2.582 * * * [progress]: localizing error 2.594 * * * [progress]: generating rewritten candidates 2.594 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.601 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.602 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.604 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.612 * * * [progress]: generating series expansions 2.612 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.612 * [approximate]: Approximating (* z (cos y)) in (z y) around 0 2.613 * [taylor]: Taking taylor expansion of (* z (cos y)) in y 2.616 * [taylor]: Taking taylor expansion of (* z (cos y)) in y 2.619 * [taylor]: Taking taylor expansion of (* z (cos y)) in y 2.624 * [taylor]: Taking taylor expansion of (* z (cos y)) in y 2.624 * [approximate]: Approximating (/ (cos (/ 1 y)) z) in (z y) around 0 2.626 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 2.629 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 2.633 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 2.638 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 2.638 * [approximate]: Approximating (* -1 (/ (cos (/ -1 y)) z)) in (z y) around 0 2.640 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 2.644 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 2.649 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 2.656 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 2.656 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.656 * [approximate]: Approximating (sqrt (cos y)) in (y) around 0 2.664 * [approximate]: Approximating (sqrt (cos (/ 1 y))) in (y) around 0 2.669 * [approximate]: Approximating (sqrt (cos (/ -1 y))) in (y) around 0 2.673 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.673 * [approximate]: Approximating (sqrt (cos y)) in (y) around 0 2.682 * [approximate]: Approximating (sqrt (cos (/ 1 y))) in (y) around 0 2.686 * [approximate]: Approximating (sqrt (cos (/ -1 y))) in (y) around 0 2.693 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.693 * [approximate]: Approximating (* (sqrt (cos y)) z) in (z y) around 0 2.700 * [taylor]: Taking taylor expansion of (* (sqrt (cos y)) z) in y 2.701 * [taylor]: Taking taylor expansion of (* (sqrt (cos y)) z) in y 2.705 * [taylor]: Taking taylor expansion of (* (sqrt (cos y)) z) in y 2.710 * [taylor]: Taking taylor expansion of (* (sqrt (cos y)) z) in y 2.710 * [approximate]: Approximating (* (sqrt (cos (/ 1 y))) (/ 1 z)) in (z y) around 0 2.717 * [taylor]: Taking taylor expansion of (* (sqrt (cos (/ 1 y))) (/ 1 z)) in y 2.719 * [taylor]: Taking taylor expansion of (* (sqrt (cos (/ 1 y))) (/ 1 z)) in y 2.723 * [taylor]: Taking taylor expansion of (* (sqrt (cos (/ 1 y))) (/ 1 z)) in y 2.729 * [taylor]: Taking taylor expansion of (* (sqrt (cos (/ 1 y))) (/ 1 z)) in y 2.729 * [approximate]: Approximating (* -1 (* (sqrt (cos (/ -1 y))) (/ 1 z))) in (z y) around 0 2.736 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (cos (/ -1 y))) (/ 1 z))) in y 2.738 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (cos (/ -1 y))) (/ 1 z))) in y 2.744 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (cos (/ -1 y))) (/ 1 z))) in y 2.752 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (cos (/ -1 y))) (/ 1 z))) in y 2.752 * * * [progress]: simplifying candidates 2.753 * [simplify]: Simplifying using # : (* (* z (sqrt (cos y))) (sqrt (cos y))) (* (* z (sqrt (cos y))) (sqrt (cos y))) (+ (+ (log z) (log (sqrt (cos y)))) (log (sqrt (cos y)))) (+ (log (* z (sqrt (cos y)))) (log (sqrt (cos y)))) (log (* (* z (sqrt (cos y))) (sqrt (cos y)))) (exp (* (* z (sqrt (cos y))) (sqrt (cos y)))) (* (* (* (* z z) z) (* (* (sqrt (cos y)) (sqrt (cos y))) (sqrt (cos y)))) (* (* (sqrt (cos y)) (sqrt (cos y))) (sqrt (cos y)))) (* (* (* (* z (sqrt (cos y))) (* z (sqrt (cos y)))) (* z (sqrt (cos y)))) (* (* (sqrt (cos y)) (sqrt (cos y))) (sqrt (cos y)))) (* (cbrt (* (* z (sqrt (cos y))) (sqrt (cos y)))) (cbrt (* (* z (sqrt (cos y))) (sqrt (cos y))))) (cbrt (* (* z (sqrt (cos y))) (sqrt (cos y)))) (* (* (* (* z (sqrt (cos y))) (sqrt (cos y))) (* (* z (sqrt (cos y))) (sqrt (cos y)))) (* (* z (sqrt (cos y))) (sqrt (cos y)))) (sqrt (* (* z (sqrt (cos y))) (sqrt (cos y)))) (sqrt (* (* z (sqrt (cos y))) (sqrt (cos y)))) (* (* z (sqrt (cos y))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))))) (* (* z (sqrt (cos y))) (sqrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (* z (sqrt (cos y))) (sqrt (sqrt (cos y)))) (* (* z (sqrt (cos y))) (sqrt 1)) (* (* z (sqrt (cos y))) (sqrt (sqrt (cos y)))) (* (* z (sqrt (cos y))) 1) (* (sqrt (cos y)) (sqrt (cos y))) (log (sqrt (cos y))) (exp (sqrt (cos y))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (cbrt (sqrt (cos y))) (* (* (sqrt (cos y)) (sqrt (cos y))) (sqrt (cos y))) (sqrt (* (cbrt (cos y)) (cbrt (cos y)))) (sqrt (cbrt (cos y))) (sqrt (sqrt (cos y))) (sqrt (sqrt (cos y))) (sqrt 1) (sqrt (cos y)) (/ 1 2) (sqrt (sqrt (cos y))) (sqrt (sqrt (cos y))) (log (sqrt (cos y))) (exp (sqrt (cos y))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (cbrt (sqrt (cos y))) (* (* (sqrt (cos y)) (sqrt (cos y))) (sqrt (cos y))) (sqrt (* (cbrt (cos y)) (cbrt (cos y)))) (sqrt (cbrt (cos y))) (sqrt (sqrt (cos y))) (sqrt (sqrt (cos y))) (sqrt 1) (sqrt (cos y)) (/ 1 2) (sqrt (sqrt (cos y))) (sqrt (sqrt (cos y))) (* z (sqrt (cos y))) (+ (log z) (log (sqrt (cos y)))) (log (* z (sqrt (cos y)))) (exp (* z (sqrt (cos y)))) (* (* (* z z) z) (* (* (sqrt (cos y)) (sqrt (cos y))) (sqrt (cos y)))) (* (cbrt (* z (sqrt (cos y)))) (cbrt (* z (sqrt (cos y))))) (cbrt (* z (sqrt (cos y)))) (* (* (* z (sqrt (cos y))) (* z (sqrt (cos y)))) (* z (sqrt (cos y)))) (sqrt (* z (sqrt (cos y)))) (sqrt (* z (sqrt (cos y)))) (* (sqrt z) (sqrt (sqrt (cos y)))) (* (sqrt z) (sqrt (sqrt (cos y)))) (* (sqrt z) (sqrt (sqrt (cos y)))) (* (sqrt z) (sqrt (sqrt (cos y)))) (* z (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))))) (* z (sqrt (* (cbrt (cos y)) (cbrt (cos y))))) (* z (sqrt (sqrt (cos y)))) (* z (sqrt 1)) (* z (sqrt (sqrt (cos y)))) (* z 1) (* (cbrt z) (sqrt (cos y))) (* (sqrt z) (sqrt (cos y))) (* z (sqrt (cos y))) z (* z (cos y)) (* z (cos y)) (- 1 (+ (* 1/4 (pow y 2)) (* 1/96 (pow y 4)))) (sqrt (cos y)) (sqrt (cos y)) (- 1 (+ (* 1/4 (pow y 2)) (* 1/96 (pow y 4)))) (sqrt (cos y)) (sqrt (cos y)) z (* z (sqrt (cos y))) (* z (sqrt (cos y))) 2.756 * * [simplify]: iteration 0 : 157 enodes (cost 356 ) 2.760 * * [simplify]: iteration 1 : 711 enodes (cost 312 ) 2.775 * * [simplify]: iteration 2 : 2827 enodes (cost 306 ) 2.828 * * [simplify]: iteration 3 : 5001 enodes (cost 306 ) 2.831 * [simplify]: Simplified to: (* z (cos y)) (* z (cos y)) (+ (log z) (log (cos y))) (+ (log z) (log (cos y))) (+ (log z) (log (cos y))) (pow (exp z) (cos y)) (pow (* z (cos y)) 3) (pow (* z (cos y)) 3) (* (cbrt (* (* z (sqrt (cos y))) (sqrt (cos y)))) (cbrt (* (* z (sqrt (cos y))) (sqrt (cos y))))) (cbrt (* (* z (sqrt (cos y))) (sqrt (cos y)))) (pow (* z (cos y)) 3) (sqrt (* (* z (sqrt (cos y))) (sqrt (cos y)))) (sqrt (* (* z (sqrt (cos y))) (sqrt (cos y)))) (* (* z (sqrt (cos y))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))))) (* z (* (sqrt (cos y)) (fabs (cbrt (cos y))))) (* (* z (sqrt (cos y))) (sqrt (sqrt (cos y)))) (* z (sqrt (cos y))) (* (* z (sqrt (cos y))) (sqrt (sqrt (cos y)))) (* z (sqrt (cos y))) (cos y) (log (sqrt (cos y))) (exp (sqrt (cos y))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (cbrt (sqrt (cos y))) (pow (sqrt (cos y)) 3) (fabs (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (sqrt (cos y))) (sqrt (sqrt (cos y))) 1 (sqrt (cos y)) 1/2 (sqrt (sqrt (cos y))) (sqrt (sqrt (cos y))) (log (sqrt (cos y))) (exp (sqrt (cos y))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (cbrt (sqrt (cos y))) (pow (sqrt (cos y)) 3) (fabs (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (sqrt (cos y))) (sqrt (sqrt (cos y))) 1 (sqrt (cos y)) 1/2 (sqrt (sqrt (cos y))) (sqrt (sqrt (cos y))) (* z (sqrt (cos y))) (log (* z (sqrt (cos y)))) (log (* z (sqrt (cos y)))) (exp (* z (sqrt (cos y)))) (pow (* z (sqrt (cos y))) 3) (* (cbrt (* z (sqrt (cos y)))) (cbrt (* z (sqrt (cos y))))) (cbrt (* z (sqrt (cos y)))) (pow (* z (sqrt (cos y))) 3) (sqrt (* z (sqrt (cos y)))) (sqrt (* z (sqrt (cos y)))) (* (sqrt z) (sqrt (sqrt (cos y)))) (* (sqrt z) (sqrt (sqrt (cos y)))) (* (sqrt z) (sqrt (sqrt (cos y)))) (* (sqrt z) (sqrt (sqrt (cos y)))) (* z (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))))) (* (fabs (cbrt (cos y))) z) (* z (sqrt (sqrt (cos y)))) z (* z (sqrt (sqrt (cos y)))) z (* (cbrt z) (sqrt (cos y))) (* (sqrt z) (sqrt (cos y))) (* z (sqrt (cos y))) z (* z (cos y)) (* z (cos y)) (- 1 (+ (* 1/4 (pow y 2)) (* 1/96 (pow y 4)))) (sqrt (cos y)) (sqrt (cos y)) (- 1 (+ (* 1/4 (pow y 2)) (* 1/96 (pow y 4)))) (sqrt (cos y)) (sqrt (cos y)) z (* z (sqrt (cos y))) (* z (sqrt (cos y))) 2.831 * * * [progress]: adding candidates to table 3.029 * [progress]: [Phase 3 of 3] Extracting. 3.029 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.033 * * * [regime-changes]: Trying 4 branch expressions: ((+ (+ x (sin y)) (* z (cos y))) z y x) 3.033 * * * * [regimes]: Trying to branch on (+ (+ x (sin y)) (* z (cos y))) from (# # # # # # #) 3.107 * * * * [regimes]: Trying to branch on z from (# # # # # # #) 3.174 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 3.240 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.308 * * * [regime]: Found split indices: #