28.223 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.042 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying using # : (- (+ x (cos y)) (* z (sin y))) 0.049 * * [simplify]: iteration 0 : 14 enodes (cost 5 ) 0.050 * * [simplify]: iteration 1 : 28 enodes (cost 5 ) 0.051 * * [simplify]: iteration 2 : 37 enodes (cost 5 ) 0.052 * * [simplify]: iteration 3 : 43 enodes (cost 5 ) 0.053 * * [simplify]: iteration 4 : 52 enodes (cost 5 ) 0.054 * * [simplify]: iteration 5 : 66 enodes (cost 5 ) 0.056 * * [simplify]: iteration 6 : 101 enodes (cost 5 ) 0.057 * * [simplify]: iteration 7 : 166 enodes (cost 5 ) 0.059 * * [simplify]: iteration 8 : 212 enodes (cost 5 ) 0.061 * * [simplify]: iteration 9 : 236 enodes (cost 5 ) 0.063 * * [simplify]: iteration 10 : 250 enodes (cost 5 ) 0.065 * * [simplify]: iteration 11 : 270 enodes (cost 5 ) 0.066 * * [simplify]: iteration 12 : 270 enodes (cost 5 ) 0.067 * [simplify]: Simplified to: (- (+ x (cos y)) (* z (sin y))) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.071 * * * * [pick]: Picked # 0.071 * * * [progress]: localizing error 0.080 * * * [progress]: generating rewritten candidates 0.080 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.089 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.092 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.099 * * * [progress]: generating series expansions 0.099 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.099 * [approximate]: Approximating (* (sin y) z) in (z y) around 0 0.100 * [taylor]: Taking taylor expansion of (* (sin y) z) in y 0.103 * [taylor]: Taking taylor expansion of (* (sin y) z) in y 0.106 * [taylor]: Taking taylor expansion of (* (sin y) z) in y 0.111 * [taylor]: Taking taylor expansion of (* (sin y) z) in y 0.116 * [taylor]: Taking taylor expansion of (* (sin y) z) in y 0.116 * [approximate]: Approximating (/ (sin (/ 1 y)) z) in (z y) around 0 0.117 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) z) in y 0.120 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) z) in y 0.124 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) z) in y 0.129 * [taylor]: Taking taylor expansion of (/ (sin (/ 1 y)) z) in y 0.129 * [approximate]: Approximating (* -1 (/ (sin (/ -1 y)) z)) in (z y) around 0 0.130 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) z)) in y 0.134 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) z)) in y 0.138 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) z)) in y 0.145 * [taylor]: Taking taylor expansion of (* -1 (/ (sin (/ -1 y)) z)) in y 0.145 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.145 * [approximate]: Approximating (+ x (cos y)) in (x y) around 0 0.146 * [taylor]: Taking taylor expansion of (+ x (cos y)) in y 0.148 * [taylor]: Taking taylor expansion of (+ x (cos y)) in y 0.152 * [taylor]: Taking taylor expansion of (+ x (cos y)) in y 0.153 * [approximate]: Approximating (+ (cos (/ 1 y)) (/ 1 x)) in (x y) around 0 0.154 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 y)) (/ 1 x)) in y 0.156 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 y)) (/ 1 x)) in y 0.159 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 y)) (/ 1 x)) in y 0.163 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 y)) (/ 1 x)) in y 0.163 * [approximate]: Approximating (- (cos (/ -1 y)) (/ 1 x)) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (- (cos (/ -1 y)) (/ 1 x)) in y 0.166 * [taylor]: Taking taylor expansion of (- (cos (/ -1 y)) (/ 1 x)) in y 0.174 * [taylor]: Taking taylor expansion of (- (cos (/ -1 y)) (/ 1 x)) in y 0.178 * [taylor]: Taking taylor expansion of (- (cos (/ -1 y)) (/ 1 x)) in y 0.178 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.179 * [approximate]: Approximating (- (+ x (cos y)) (* (sin y) z)) in (x y z) around 0 0.180 * [taylor]: Taking taylor expansion of (- (+ x (cos y)) (* (sin y) z)) in y 0.180 * [taylor]: Taking taylor expansion of (- (+ x (cos y)) (* (sin y) z)) in z 0.185 * [taylor]: Taking taylor expansion of (- (+ x (cos y)) (* (sin y) z)) in y 0.185 * [taylor]: Taking taylor expansion of (- (+ x (cos y)) (* (sin y) z)) in z 0.187 * [taylor]: Taking taylor expansion of (- (+ x (cos y)) (* (sin y) z)) in z 0.194 * [taylor]: Taking taylor expansion of (- (+ x (cos y)) (* (sin y) z)) in y 0.194 * [taylor]: Taking taylor expansion of (- (+ x (cos y)) (* (sin y) z)) in z 0.194 * [taylor]: Taking taylor expansion of (- (+ x (cos y)) (* (sin y) z)) in z 0.197 * [taylor]: Taking taylor expansion of (- (+ x (cos y)) (* (sin y) z)) in z 0.197 * [approximate]: Approximating (- (+ (cos (/ 1 y)) (/ 1 x)) (/ (sin (/ 1 y)) z)) in (x y z) around 0 0.200 * [taylor]: Taking taylor expansion of (- (+ (cos (/ 1 y)) (/ 1 x)) (/ (sin (/ 1 y)) z)) in y 0.200 * [taylor]: Taking taylor expansion of (- (+ (cos (/ 1 y)) (/ 1 x)) (/ (sin (/ 1 y)) z)) in z 0.202 * [taylor]: Taking taylor expansion of (- (+ (cos (/ 1 y)) (/ 1 x)) (/ (sin (/ 1 y)) z)) in y 0.203 * [taylor]: Taking taylor expansion of (- (+ (cos (/ 1 y)) (/ 1 x)) (/ (sin (/ 1 y)) z)) in z 0.203 * [taylor]: Taking taylor expansion of (- (+ (cos (/ 1 y)) (/ 1 x)) (/ (sin (/ 1 y)) z)) in z 0.209 * [taylor]: Taking taylor expansion of (- (+ (cos (/ 1 y)) (/ 1 x)) (/ (sin (/ 1 y)) z)) in y 0.209 * [taylor]: Taking taylor expansion of (- (+ (cos (/ 1 y)) (/ 1 x)) (/ (sin (/ 1 y)) z)) in z 0.210 * [taylor]: Taking taylor expansion of (- (+ (cos (/ 1 y)) (/ 1 x)) (/ (sin (/ 1 y)) z)) in z 0.210 * [taylor]: Taking taylor expansion of (- (+ (cos (/ 1 y)) (/ 1 x)) (/ (sin (/ 1 y)) z)) in z 0.214 * [approximate]: Approximating (- (+ (cos (/ -1 y)) (/ (sin (/ -1 y)) z)) (/ 1 x)) in (x y z) around 0 0.217 * [taylor]: Taking taylor expansion of (- (+ (cos (/ -1 y)) (/ (sin (/ -1 y)) z)) (/ 1 x)) in y 0.217 * [taylor]: Taking taylor expansion of (- (+ (cos (/ -1 y)) (/ (sin (/ -1 y)) z)) (/ 1 x)) in z 0.218 * [taylor]: Taking taylor expansion of (- (+ (cos (/ -1 y)) (/ (sin (/ -1 y)) z)) (/ 1 x)) in y 0.219 * [taylor]: Taking taylor expansion of (- (+ (cos (/ -1 y)) (/ (sin (/ -1 y)) z)) (/ 1 x)) in z 0.220 * [taylor]: Taking taylor expansion of (- (+ (cos (/ -1 y)) (/ (sin (/ -1 y)) z)) (/ 1 x)) in z 0.226 * [taylor]: Taking taylor expansion of (- (+ (cos (/ -1 y)) (/ (sin (/ -1 y)) z)) (/ 1 x)) in y 0.226 * [taylor]: Taking taylor expansion of (- (+ (cos (/ -1 y)) (/ (sin (/ -1 y)) z)) (/ 1 x)) in z 0.226 * [taylor]: Taking taylor expansion of (- (+ (cos (/ -1 y)) (/ (sin (/ -1 y)) z)) (/ 1 x)) in z 0.226 * [taylor]: Taking taylor expansion of (- (+ (cos (/ -1 y)) (/ (sin (/ -1 y)) z)) (/ 1 x)) in z 0.230 * * * [progress]: simplifying candidates 0.231 * [simplify]: Simplifying using # : (* z (sin y)) (+ (log z) (log (sin y))) (log (* z (sin y))) (exp (* z (sin y))) (* (* (* z z) z) (* (* (sin y) (sin y)) (sin y))) (* (cbrt (* z (sin y))) (cbrt (* z (sin y)))) (cbrt (* z (sin y))) (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))) (sqrt (* z (sin y))) (sqrt (* z (sin y))) (* (sqrt z) (sqrt (sin y))) (* (sqrt z) (sqrt (sin y))) (* z (* (cbrt (sin y)) (cbrt (sin y)))) (* z (sqrt (sin y))) (* z 1) (* (cbrt z) (sin y)) (* (sqrt z) (sin y)) (* z (sin y)) (* (exp x) (exp (cos y))) (log (+ x (cos y))) (exp (+ x (cos y))) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (cbrt (+ x (cos y))) (* (* (+ x (cos y)) (+ x (cos y))) (+ x (cos y))) (sqrt (+ x (cos y))) (sqrt (+ x (cos y))) (+ (pow x 3) (pow (cos y) 3)) (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y)))) (- (* x x) (* (cos y) (cos y))) (- x (cos y)) (+ x (cos y)) (/ (* (exp x) (exp (cos y))) (exp (* z (sin y)))) (/ (exp (+ x (cos y))) (exp (* z (sin y)))) (log (- (+ x (cos y)) (* z (sin y)))) (exp (- (+ x (cos y)) (* z (sin y)))) (* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y))))) (cbrt (- (+ x (cos y)) (* z (sin y)))) (* (* (- (+ x (cos y)) (* z (sin y))) (- (+ x (cos y)) (* z (sin y)))) (- (+ x (cos y)) (* z (sin y)))) (sqrt (- (+ x (cos y)) (* z (sin y)))) (sqrt (- (+ x (cos y)) (* z (sin y)))) (- (pow (+ x (cos y)) 3) (pow (* z (sin y)) 3)) (+ (* (+ x (cos y)) (+ x (cos y))) (+ (* (* z (sin y)) (* z (sin y))) (* (+ x (cos y)) (* z (sin y))))) (neg (* z (sin y))) (- (* (+ x (cos y)) (+ x (cos y))) (* (* z (sin y)) (* z (sin y)))) (+ (+ x (cos y)) (* z (sin y))) (- (cos y) (* z (sin y))) (neg (* z (sin y))) (* z y) (* (sin y) z) (* (sin y) z) (- (+ x 1) (* 1/2 (pow y 2))) (+ x (cos y)) (+ x (cos y)) (- (+ x 1) (* 1/2 (pow y 2))) (- (+ x (cos y)) (* (sin y) z)) (- (+ x (cos y)) (* (sin y) z)) 0.234 * * [simplify]: iteration 0 : 198 enodes (cost 256 ) 0.238 * * [simplify]: iteration 1 : 668 enodes (cost 240 ) 0.251 * * [simplify]: iteration 2 : 2771 enodes (cost 240 ) 0.302 * * [simplify]: iteration 3 : 5001 enodes (cost 240 ) 0.304 * [simplify]: Simplified to: (* z (sin y)) (log (* z (sin y))) (log (* z (sin y))) (exp (* z (sin y))) (pow (* z (sin y)) 3) (* (cbrt (* z (sin y))) (cbrt (* z (sin y)))) (cbrt (* z (sin y))) (pow (* z (sin y)) 3) (sqrt (* z (sin y))) (sqrt (* z (sin y))) (* (sqrt z) (sqrt (sin y))) (* (sqrt z) (sqrt (sin y))) (* z (* (cbrt (sin y)) (cbrt (sin y)))) (* z (sqrt (sin y))) z (* (cbrt z) (sin y)) (* (sqrt z) (sin y)) (* z (sin y)) (exp (+ x (cos y))) (log (+ x (cos y))) (exp (+ x (cos y))) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (cbrt (+ x (cos y))) (pow (+ x (cos y)) 3) (sqrt (+ x (cos y))) (sqrt (+ x (cos y))) (+ (pow x 3) (pow (cos y) 3)) (+ (* (cos y) (- (cos y) x)) (* x x)) (- (* x x) (* (cos y) (cos y))) (- x (cos y)) (+ x (cos y)) (exp (- (+ x (cos y)) (* z (sin y)))) (exp (- (+ x (cos y)) (* z (sin y)))) (log (- (+ x (cos y)) (* z (sin y)))) (exp (- (+ x (cos y)) (* z (sin y)))) (* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y))))) (cbrt (- (+ x (cos y)) (* z (sin y)))) (pow (- (+ x (cos y)) (* (sin y) z)) 3) (sqrt (- (+ x (cos y)) (* z (sin y)))) (sqrt (- (+ x (cos y)) (* z (sin y)))) (- (pow (+ x (cos y)) 3) (pow (* z (sin y)) 3)) (+ (* (* z (sin y)) (+ (* z (sin y)) (+ x (cos y)))) (* (+ x (cos y)) (+ x (cos y)))) (neg (* z (sin y))) (- (* (+ x (cos y)) (+ x (cos y))) (* (* z (sin y)) (* z (sin y)))) (+ (+ x (cos y)) (* z (sin y))) (- (cos y) (* z (sin y))) (neg (* z (sin y))) (* z y) (* z (sin y)) (* z (sin y)) (- (+ x 1) (* 1/2 (pow y 2))) (+ x (cos y)) (+ x (cos y)) (- (+ x 1) (* 1/2 (pow y 2))) (- (+ x (cos y)) (* (sin y) z)) (- (+ x (cos y)) (* (sin y) z)) 0.304 * * * [progress]: adding candidates to table 0.411 * * [progress]: iteration 2 / 4 0.411 * * * [progress]: picking best candidate 0.433 * * * * [pick]: Picked # 0.433 * * * [progress]: localizing error 0.446 * * * [progress]: generating rewritten candidates 0.446 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.448 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.449 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.450 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.458 * * * [progress]: generating series expansions 0.458 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.458 * [approximate]: Approximating (pow (sin y) 1/3) in (y) around 0 0.491 * [approximate]: Approximating (pow (sin (/ 1 y)) 1/3) in (y) around 0 0.530 * [approximate]: Approximating (pow (sin (/ -1 y)) 1/3) in (y) around 0 0.573 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.573 * [approximate]: Approximating (pow (sin y) 1/3) in (y) around 0 0.603 * [approximate]: Approximating (pow (sin (/ 1 y)) 1/3) in (y) around 0 0.645 * [approximate]: Approximating (pow (sin (/ -1 y)) 1/3) in (y) around 0 0.685 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 0.685 * [approximate]: Approximating (pow (sin y) 1/3) in (y) around 0 0.717 * [approximate]: Approximating (pow (sin (/ 1 y)) 1/3) in (y) around 0 0.756 * [approximate]: Approximating (pow (sin (/ -1 y)) 1/3) in (y) around 0 0.799 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.799 * [approximate]: Approximating (pow (pow (sin y) 2) 1/3) in (y) around 0 0.833 * [approximate]: Approximating (pow (pow (sin (/ 1 y)) 2) 1/3) in (y) around 0 0.882 * [approximate]: Approximating (pow (pow (sin (/ -1 y)) 2) 1/3) in (y) around 0 0.931 * * * [progress]: simplifying candidates 0.932 * [simplify]: Simplifying using # : (log (cbrt (sin y))) (exp (cbrt (sin y))) (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (cbrt (cbrt (sin y))) (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y))) (cbrt 1) (cbrt (sin y)) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y))) (* (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y))) (sqrt (cbrt (sin y))) (sqrt (cbrt (sin y))) (log (cbrt (sin y))) (exp (cbrt (sin y))) (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (cbrt (cbrt (sin y))) (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y))) (cbrt 1) (cbrt (sin y)) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y))) (* (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y))) (sqrt (cbrt (sin y))) (sqrt (cbrt (sin y))) (log (cbrt (sin y))) (exp (cbrt (sin y))) (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (cbrt (cbrt (sin y))) (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y))) (cbrt 1) (cbrt (sin y)) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y))) (* (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y))) (sqrt (cbrt (sin y))) (sqrt (cbrt (sin y))) (+ 1/3 1/3) (+ 1 1) (* (sin y) (sin y)) (* (cbrt (sin y)) (cbrt (sin y))) (+ 1 1) (+ (log (cbrt (sin y))) (log (cbrt (sin y)))) (log (* (cbrt (sin y)) (cbrt (sin y)))) (exp (* (cbrt (sin y)) (cbrt (sin y)))) (* (sin y) (sin y)) (* (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (cbrt (* (cbrt (sin y)) (cbrt (sin y))))) (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (* (* (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt (sin y)) (cbrt (sin y)))) (* (cbrt (sin y)) (cbrt (sin y)))) (sqrt (* (cbrt (sin y)) (cbrt (sin y)))) (sqrt (* (cbrt (sin y)) (cbrt (sin y)))) (* (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (cbrt (* (cbrt (sin y)) (cbrt (sin y))))) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (* (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y)))) (* (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (sin y)) (cbrt (sin y))) (* (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y))))) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (* (sqrt (cbrt (sin y))) (sqrt (cbrt (sin y)))) (* (sqrt (cbrt (sin y))) (sqrt (cbrt (sin y)))) (* 1 1) (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y)))) (* (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y)))) (* (cbrt (sqrt (sin y))) (sqrt (cbrt (sin y)))) (* (cbrt (sqrt (sin y))) (sqrt (cbrt (sin y)))) (* (sqrt (cbrt (sin y))) (cbrt (sqrt (sin y)))) (* (sqrt (cbrt (sin y))) (cbrt (sqrt (sin y)))) (* (sqrt (cbrt (sin y))) (sqrt (cbrt (sin y)))) (* (sqrt (cbrt (sin y))) (sqrt (cbrt (sin y)))) (* 2 1/3) (* 2 1) (* (cbrt (sin y)) (cbrt (* (cbrt (sin y)) (cbrt (sin y))))) (* (cbrt (sin y)) (cbrt (sqrt (sin y)))) (* (cbrt (sin y)) (cbrt 1)) (* (cbrt (sin y)) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y))))) (* (cbrt (sin y)) (sqrt (cbrt (sin y)))) (* (cbrt (sin y)) 1) (* (cbrt (cbrt (sin y))) (cbrt (sin y))) (* (cbrt (sqrt (sin y))) (cbrt (sin y))) (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt (cbrt (sin y))) (cbrt (sin y))) (* (sqrt (cbrt (sin y))) (cbrt (sin y))) (* (cbrt (sin y)) (cbrt (sin y))) (- (pow y 1/3) (+ (* 1/3240 (pow (pow y 13) 1/3)) (* 1/18 (pow (pow y 7) 1/3)))) (pow (sin y) 1/3) (pow (sin y) 1/3) (- (pow y 1/3) (+ (* 1/3240 (pow (pow y 13) 1/3)) (* 1/18 (pow (pow y 7) 1/3)))) (pow (sin y) 1/3) (pow (sin y) 1/3) (- (pow y 1/3) (+ (* 1/3240 (pow (pow y 13) 1/3)) (* 1/18 (pow (pow y 7) 1/3)))) (pow (sin y) 1/3) (pow (sin y) 1/3) (- (+ (* 1/405 (pow (pow y 14) 1/3)) (pow y 2/3)) (* 1/9 (pow (pow y 8) 1/3))) (pow (pow (sin y) 2) 1/3) (pow (pow (sin y) 2) 1/3) 0.936 * * [simplify]: iteration 0 : 154 enodes (cost 453 ) 0.940 * * [simplify]: iteration 1 : 551 enodes (cost 401 ) 0.955 * * [simplify]: iteration 2 : 3082 enodes (cost 369 ) 1.020 * * [simplify]: iteration 3 : 5002 enodes (cost 363 ) 1.022 * [simplify]: Simplified to: (log (cbrt (sin y))) (exp (cbrt (sin y))) (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (cbrt (cbrt (sin y))) (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y))) 1 (pow (sin y) 1/3) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y))) (sin y) (sqrt (cbrt (sin y))) (sqrt (cbrt (sin y))) (log (cbrt (sin y))) (exp (cbrt (sin y))) (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (cbrt (cbrt (sin y))) (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y))) 1 (pow (sin y) 1/3) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y))) (sin y) (sqrt (cbrt (sin y))) (sqrt (cbrt (sin y))) (log (cbrt (sin y))) (exp (cbrt (sin y))) (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (cbrt (cbrt (sin y))) (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y))) 1 (pow (sin y) 1/3) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y))) (sin y) (sqrt (cbrt (sin y))) (sqrt (cbrt (sin y))) 2/3 2 (pow (sin y) 2) (pow (sin y) 2/3) 2 (* 2/3 (log (sin y))) (* 2/3 (log (sin y))) (pow (exp 1) (pow (sin y) 2/3)) (pow (sin y) 2) (* (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (cbrt (* (cbrt (sin y)) (cbrt (sin y))))) (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (pow (sin y) 2) (fabs (pow (sin y) 1/3)) (fabs (pow (sin y) 1/3)) (* (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (cbrt (* (cbrt (sin y)) (cbrt (sin y))))) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (* (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y)))) (* (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y)))) 1 (pow (sin y) 2/3) (pow (cbrt (cbrt (sin y))) 4) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (pow (sin y) 1/3) (pow (sin y) 1/3) 1 (pow (sin y) 2/3) (* (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y)))) (* (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y)))) (* (cbrt (sqrt (sin y))) (sqrt (cbrt (sin y)))) (* (cbrt (sqrt (sin y))) (sqrt (cbrt (sin y)))) (* (cbrt (sqrt (sin y))) (sqrt (cbrt (sin y)))) (* (cbrt (sqrt (sin y))) (sqrt (cbrt (sin y)))) (pow (sin y) 1/3) (pow (sin y) 1/3) 2/3 2 (* (cbrt (sin y)) (cbrt (* (cbrt (sin y)) (cbrt (sin y))))) (* (cbrt (sin y)) (cbrt (sqrt (sin y)))) (pow (sin y) 1/3) (pow (cbrt (cbrt (sin y))) 5) (pow (sqrt (cbrt (sin y))) 3) (pow (sin y) 1/3) (pow (cbrt (cbrt (sin y))) 4) (* (cbrt (sin y)) (cbrt (sqrt (sin y)))) (pow (sin y) 2/3) (pow (cbrt (cbrt (sin y))) 4) (pow (sqrt (cbrt (sin y))) 3) (pow (sin y) 2/3) (- (pow y 1/3) (+ (* 1/3240 (pow (pow y 13) 1/3)) (* 1/18 (pow (pow y 7) 1/3)))) (pow (sin y) 1/3) (pow (sin y) 1/3) (- (pow y 1/3) (+ (* 1/3240 (pow (pow y 13) 1/3)) (* 1/18 (pow (pow y 7) 1/3)))) (pow (sin y) 1/3) (pow (sin y) 1/3) (- (pow y 1/3) (+ (* 1/3240 (pow (pow y 13) 1/3)) (* 1/18 (pow (pow y 7) 1/3)))) (pow (sin y) 1/3) (pow (sin y) 1/3) (- (+ (* 1/405 (pow (pow y 14) 1/3)) (pow y 2/3)) (* 1/9 (pow (pow y 8) 1/3))) (pow (sin y) 2/3) (pow (sin y) 2/3) 1.023 * * * [progress]: adding candidates to table 1.378 * * [progress]: iteration 3 / 4 1.379 * * * [progress]: picking best candidate 1.401 * * * * [pick]: Picked # 1.401 * * * [progress]: localizing error 1.421 * * * [progress]: generating rewritten candidates 1.421 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.423 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 1.425 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 1.426 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 1.429 * * * [progress]: generating series expansions 1.429 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.429 * [approximate]: Approximating (pow (sin y) 1/9) in (y) around 0 1.459 * [approximate]: Approximating (pow (sin (/ 1 y)) 1/9) in (y) around 0 1.501 * [approximate]: Approximating (pow (sin (/ -1 y)) 1/9) in (y) around 0 1.541 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 1.541 * [approximate]: Approximating (pow (sin y) 1/9) in (y) around 0 1.573 * [approximate]: Approximating (pow (sin (/ 1 y)) 1/9) in (y) around 0 1.612 * [approximate]: Approximating (pow (sin (/ -1 y)) 1/9) in (y) around 0 1.657 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 1.657 * [approximate]: Approximating (pow (sin y) 1/9) in (y) around 0 1.686 * [approximate]: Approximating (pow (sin (/ 1 y)) 1/9) in (y) around 0 1.730 * [approximate]: Approximating (pow (sin (/ -1 y)) 1/9) in (y) around 0 1.769 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 1.769 * [approximate]: Approximating (pow (sin y) 1/3) in (y) around 0 1.798 * [approximate]: Approximating (pow (sin (/ 1 y)) 1/3) in (y) around 0 1.843 * [approximate]: Approximating (pow (sin (/ -1 y)) 1/3) in (y) around 0 1.881 * * * [progress]: simplifying candidates 1.882 * [simplify]: Simplifying using # : (log (cbrt (cbrt (sin y)))) (exp (cbrt (cbrt (sin y)))) (cbrt (cbrt (* (cbrt (sin y)) (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (cbrt (cbrt (sqrt (sin y)))) (cbrt (cbrt (sqrt (sin y)))) (cbrt (cbrt 1)) (cbrt (cbrt (sin y))) (cbrt (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (cbrt (sqrt (cbrt (sin y)))) (cbrt (sqrt (cbrt (sin y)))) (cbrt 1) (cbrt (cbrt (sin y))) (* (cbrt (cbrt (cbrt (sin y)))) (cbrt (cbrt (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (* (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y)))) (sqrt (cbrt (cbrt (sin y)))) (sqrt (cbrt (cbrt (sin y)))) (log (cbrt (cbrt (sin y)))) (exp (cbrt (cbrt (sin y)))) (cbrt (cbrt (* (cbrt (sin y)) (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (cbrt (cbrt (sqrt (sin y)))) (cbrt (cbrt (sqrt (sin y)))) (cbrt (cbrt 1)) (cbrt (cbrt (sin y))) (cbrt (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (cbrt (sqrt (cbrt (sin y)))) (cbrt (sqrt (cbrt (sin y)))) (cbrt 1) (cbrt (cbrt (sin y))) (* (cbrt (cbrt (cbrt (sin y)))) (cbrt (cbrt (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (* (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y)))) (sqrt (cbrt (cbrt (sin y)))) (sqrt (cbrt (cbrt (sin y)))) (log (cbrt (cbrt (sin y)))) (exp (cbrt (cbrt (sin y)))) (cbrt (cbrt (* (cbrt (sin y)) (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (cbrt (cbrt (sqrt (sin y)))) (cbrt (cbrt (sqrt (sin y)))) (cbrt (cbrt 1)) (cbrt (cbrt (sin y))) (cbrt (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (cbrt (sqrt (cbrt (sin y)))) (cbrt (sqrt (cbrt (sin y)))) (cbrt 1) (cbrt (cbrt (sin y))) (* (cbrt (cbrt (cbrt (sin y)))) (cbrt (cbrt (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (* (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y)))) (sqrt (cbrt (cbrt (sin y)))) (sqrt (cbrt (cbrt (sin y)))) (log (cbrt (sin y))) (exp (cbrt (sin y))) (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (cbrt (cbrt (sin y))) (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y))) (cbrt 1) (cbrt (sin y)) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y))) (* (* (cbrt (sin y)) (cbrt (sin y))) (cbrt (sin y))) (sqrt (cbrt (sin y))) (sqrt (cbrt (sin y))) (- (pow y 1/9) (+ (* 1/54 (pow (pow y 19) 1/9)) (* 13/29160 (pow (pow y 37) 1/9)))) (pow (sin y) 1/9) (pow (sin y) 1/9) (- (pow y 1/9) (+ (* 1/54 (pow (pow y 19) 1/9)) (* 13/29160 (pow (pow y 37) 1/9)))) (pow (sin y) 1/9) (pow (sin y) 1/9) (- (pow y 1/9) (+ (* 1/54 (pow (pow y 19) 1/9)) (* 13/29160 (pow (pow y 37) 1/9)))) (pow (sin y) 1/9) (pow (sin y) 1/9) (- (pow y 1/3) (+ (* 1/3240 (pow (pow y 13) 1/3)) (* 1/18 (pow (pow y 7) 1/3)))) (pow (sin y) 1/3) (pow (sin y) 1/3) 1.891 * * [simplify]: iteration 0 : 108 enodes (cost 364 ) 1.893 * * [simplify]: iteration 1 : 221 enodes (cost 338 ) 1.897 * * [simplify]: iteration 2 : 581 enodes (cost 330 ) 1.907 * * [simplify]: iteration 3 : 1891 enodes (cost 330 ) 1.949 * * [simplify]: iteration 4 : 5001 enodes (cost 330 ) 1.951 * [simplify]: Simplified to: (log (cbrt (cbrt (sin y)))) (exp (cbrt (cbrt (sin y)))) (cbrt (cbrt (* (cbrt (sin y)) (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (cbrt (cbrt (sqrt (sin y)))) (cbrt (cbrt (sqrt (sin y)))) (cbrt (cbrt 1)) (cbrt (cbrt (sin y))) (cbrt (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (cbrt (sqrt (cbrt (sin y)))) (cbrt (sqrt (cbrt (sin y)))) (cbrt 1) (cbrt (cbrt (sin y))) (* (cbrt (cbrt (cbrt (sin y)))) (cbrt (cbrt (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (pow (sin y) 1/3) (sqrt (cbrt (cbrt (sin y)))) (sqrt (cbrt (cbrt (sin y)))) (log (cbrt (cbrt (sin y)))) (exp (cbrt (cbrt (sin y)))) (cbrt (cbrt (* (cbrt (sin y)) (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (cbrt (cbrt (sqrt (sin y)))) (cbrt (cbrt (sqrt (sin y)))) (cbrt (cbrt 1)) (cbrt (cbrt (sin y))) (cbrt (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (cbrt (sqrt (cbrt (sin y)))) (cbrt (sqrt (cbrt (sin y)))) (cbrt 1) (cbrt (cbrt (sin y))) (* (cbrt (cbrt (cbrt (sin y)))) (cbrt (cbrt (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (pow (sin y) 1/3) (sqrt (cbrt (cbrt (sin y)))) (sqrt (cbrt (cbrt (sin y)))) (log (cbrt (cbrt (sin y)))) (exp (cbrt (cbrt (sin y)))) (cbrt (cbrt (* (cbrt (sin y)) (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (cbrt (cbrt (sqrt (sin y)))) (cbrt (cbrt (sqrt (sin y)))) (cbrt (cbrt 1)) (cbrt (cbrt (sin y))) (cbrt (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (cbrt (sqrt (cbrt (sin y)))) (cbrt (sqrt (cbrt (sin y)))) (cbrt 1) (cbrt (cbrt (sin y))) (* (cbrt (cbrt (cbrt (sin y)))) (cbrt (cbrt (cbrt (sin y))))) (cbrt (cbrt (cbrt (sin y)))) (pow (sin y) 1/3) (sqrt (cbrt (cbrt (sin y)))) (sqrt (cbrt (cbrt (sin y)))) (log (cbrt (sin y))) (exp (cbrt (sin y))) (cbrt (* (cbrt (sin y)) (cbrt (sin y)))) (cbrt (cbrt (sin y))) (cbrt (sqrt (sin y))) (cbrt (sqrt (sin y))) (cbrt 1) (pow (sin y) 1/3) (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y))) (sin y) (sqrt (cbrt (sin y))) (sqrt (cbrt (sin y))) (- (pow y 1/9) (+ (* 1/54 (pow (pow y 19) 1/9)) (* 13/29160 (pow (pow y 37) 1/9)))) (pow (sin y) 1/9) (pow (sin y) 1/9) (- (pow y 1/9) (+ (* 1/54 (pow (pow y 19) 1/9)) (* 13/29160 (pow (pow y 37) 1/9)))) (pow (sin y) 1/9) (pow (sin y) 1/9) (- (pow y 1/9) (+ (* 1/54 (pow (pow y 19) 1/9)) (* 13/29160 (pow (pow y 37) 1/9)))) (pow (sin y) 1/9) (pow (sin y) 1/9) (- (pow y 1/3) (+ (* 1/3240 (pow (pow y 13) 1/3)) (* 1/18 (pow (pow y 7) 1/3)))) (pow (sin y) 1/3) (pow (sin y) 1/3) 1.952 * * * [progress]: adding candidates to table 2.318 * * [progress]: iteration 4 / 4 2.319 * * * [progress]: picking best candidate 2.336 * * * * [pick]: Picked # 2.336 * * * [progress]: localizing error 2.353 * * * [progress]: generating rewritten candidates 2.353 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.356 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 2.358 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.361 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.373 * * * [progress]: generating series expansions 2.373 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.373 * [approximate]: Approximating (pow (+ x (cos y)) 1/3) in (x y) around 0 2.375 * [taylor]: Taking taylor expansion of (pow (+ x (cos y)) 1/3) in y 2.384 * [taylor]: Taking taylor expansion of (pow (+ x (cos y)) 1/3) in y 2.397 * [taylor]: Taking taylor expansion of (pow (+ x (cos y)) 1/3) in y 2.408 * [approximate]: Approximating (pow (+ (cos (/ 1 y)) (/ 1 x)) 1/3) in (x y) around 0 2.412 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 y)) (/ 1 x)) 1/3) in y 2.414 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 y)) (/ 1 x)) 1/3) in y 2.422 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 y)) (/ 1 x)) 1/3) in y 2.428 * [approximate]: Approximating (pow (- (cos (/ -1 y)) (/ 1 x)) 1/3) in (x y) around 0 2.434 * [taylor]: Taking taylor expansion of (pow (- (cos (/ -1 y)) (/ 1 x)) 1/3) in y 2.439 * [taylor]: Taking taylor expansion of (pow (- (cos (/ -1 y)) (/ 1 x)) 1/3) in y 2.453 * [taylor]: Taking taylor expansion of (pow (- (cos (/ -1 y)) (/ 1 x)) 1/3) in y 2.458 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 2.458 * [approximate]: Approximating (pow (+ x (cos y)) 1/3) in (x y) around 0 2.459 * [taylor]: Taking taylor expansion of (pow (+ x (cos y)) 1/3) in y 2.468 * [taylor]: Taking taylor expansion of (pow (+ x (cos y)) 1/3) in y 2.481 * [taylor]: Taking taylor expansion of (pow (+ x (cos y)) 1/3) in y 2.492 * [approximate]: Approximating (pow (+ (cos (/ 1 y)) (/ 1 x)) 1/3) in (x y) around 0 2.496 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 y)) (/ 1 x)) 1/3) in y 2.498 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 y)) (/ 1 x)) 1/3) in y 2.510 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 y)) (/ 1 x)) 1/3) in y 2.512 * [approximate]: Approximating (pow (- (cos (/ -1 y)) (/ 1 x)) 1/3) in (x y) around 0 2.518 * [taylor]: Taking taylor expansion of (pow (- (cos (/ -1 y)) (/ 1 x)) 1/3) in y 2.524 * [taylor]: Taking taylor expansion of (pow (- (cos (/ -1 y)) (/ 1 x)) 1/3) in y 2.537 * [taylor]: Taking taylor expansion of (pow (- (cos (/ -1 y)) (/ 1 x)) 1/3) in y 2.542 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.543 * [approximate]: Approximating (pow (+ x (cos y)) 1/3) in (x y) around 0 2.544 * [taylor]: Taking taylor expansion of (pow (+ x (cos y)) 1/3) in y 2.552 * [taylor]: Taking taylor expansion of (pow (+ x (cos y)) 1/3) in y 2.566 * [taylor]: Taking taylor expansion of (pow (+ x (cos y)) 1/3) in y 2.577 * [approximate]: Approximating (pow (+ (cos (/ 1 y)) (/ 1 x)) 1/3) in (x y) around 0 2.587 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 y)) (/ 1 x)) 1/3) in y 2.589 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 y)) (/ 1 x)) 1/3) in y 2.596 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 y)) (/ 1 x)) 1/3) in y 2.598 * [approximate]: Approximating (pow (- (cos (/ -1 y)) (/ 1 x)) 1/3) in (x y) around 0 2.604 * [taylor]: Taking taylor expansion of (pow (- (cos (/ -1 y)) (/ 1 x)) 1/3) in y 2.609 * [taylor]: Taking taylor expansion of (pow (- (cos (/ -1 y)) (/ 1 x)) 1/3) in y 2.623 * [taylor]: Taking taylor expansion of (pow (- (cos (/ -1 y)) (/ 1 x)) 1/3) in y 2.628 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.628 * [approximate]: Approximating (pow (pow (+ x (cos y)) 2) 1/3) in (x y) around 0 2.629 * [taylor]: Taking taylor expansion of (pow (pow (+ x (cos y)) 2) 1/3) in y 2.639 * [taylor]: Taking taylor expansion of (pow (pow (+ x (cos y)) 2) 1/3) in y 2.651 * [taylor]: Taking taylor expansion of (pow (pow (+ x (cos y)) 2) 1/3) in y 2.857 * [approximate]: Approximating (pow (pow (+ (cos (/ 1 y)) (/ 1 x)) 2) 1/3) in (x y) around 0 2.861 * [taylor]: Taking taylor expansion of (pow (pow (+ (cos (/ 1 y)) (/ 1 x)) 2) 1/3) in y 2.864 * [taylor]: Taking taylor expansion of (pow (pow (+ (cos (/ 1 y)) (/ 1 x)) 2) 1/3) in y 2.873 * [taylor]: Taking taylor expansion of (pow (pow (+ (cos (/ 1 y)) (/ 1 x)) 2) 1/3) in y 2.875 * [approximate]: Approximating (pow (pow (- (cos (/ -1 y)) (/ 1 x)) 2) 1/3) in (x y) around 0 2.880 * [taylor]: Taking taylor expansion of (pow (pow (- (cos (/ -1 y)) (/ 1 x)) 2) 1/3) in y 2.882 * [taylor]: Taking taylor expansion of (pow (pow (- (cos (/ -1 y)) (/ 1 x)) 2) 1/3) in y 2.891 * [taylor]: Taking taylor expansion of (pow (pow (- (cos (/ -1 y)) (/ 1 x)) 2) 1/3) in y 2.893 * * * [progress]: simplifying candidates 2.895 * [simplify]: Simplifying using # : (log (cbrt (+ x (cos y)))) (exp (cbrt (+ x (cos y)))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (cbrt (cbrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y)))) (cbrt 1) (cbrt (+ x (cos y))) (cbrt 1) (cbrt (+ x (cos y))) (cbrt (+ (pow x 3) (pow (cos y) 3))) (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y))))) (cbrt (- (* x x) (* (cos y) (cos y)))) (cbrt (- x (cos y))) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y))))) (cbrt (cbrt (+ x (cos y)))) (* (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y)))) (log (cbrt (+ x (cos y)))) (exp (cbrt (+ x (cos y)))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (cbrt (cbrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y)))) (cbrt 1) (cbrt (+ x (cos y))) (cbrt 1) (cbrt (+ x (cos y))) (cbrt (+ (pow x 3) (pow (cos y) 3))) (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y))))) (cbrt (- (* x x) (* (cos y) (cos y)))) (cbrt (- x (cos y))) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y))))) (cbrt (cbrt (+ x (cos y)))) (* (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y)))) (log (cbrt (+ x (cos y)))) (exp (cbrt (+ x (cos y)))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (cbrt (cbrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y)))) (cbrt 1) (cbrt (+ x (cos y))) (cbrt 1) (cbrt (+ x (cos y))) (cbrt (+ (pow x 3) (pow (cos y) 3))) (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y))))) (cbrt (- (* x x) (* (cos y) (cos y)))) (cbrt (- x (cos y))) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y))))) (cbrt (cbrt (+ x (cos y)))) (* (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y)))) (+ 1/3 1/3) (+ 1 1) (* (+ x (cos y)) (+ x (cos y))) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (+ 1 1) (+ (log (cbrt (+ x (cos y)))) (log (cbrt (+ x (cos y))))) (log (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (exp (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (* (+ x (cos y)) (+ x (cos y))) (* (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (* (* (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (sqrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (sqrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (* (cbrt (+ (pow x 3) (pow (cos y) 3))) (cbrt (+ (pow x 3) (pow (cos y) 3)))) (* (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y))))) (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y)))))) (* (cbrt (+ (pow x 3) (pow (cos y) 3))) (cbrt (- (* x x) (* (cos y) (cos y))))) (* (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y))))) (cbrt (- x (cos y)))) (* (cbrt (- (* x x) (* (cos y) (cos y)))) (cbrt (+ (pow x 3) (pow (cos y) 3)))) (* (cbrt (- x (cos y))) (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y)))))) (* (cbrt (- (* x x) (* (cos y) (cos y)))) (cbrt (- (* x x) (* (cos y) (cos y))))) (* (cbrt (- x (cos y))) (cbrt (- x (cos y)))) (* (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))))) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y))))) (* (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y))))) (* (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y))))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (* (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y))))) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y)))))) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y))))) (* (sqrt (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y))))) (* (sqrt (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y))))) (* 1 1) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (* (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y))))) (* (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y))))) (* (cbrt (sqrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y))))) (* (cbrt (sqrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y))))) (* (sqrt (cbrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y))))) (* (sqrt (cbrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y))))) (* (sqrt (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y))))) (* (sqrt (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y))))) (* 2 1/3) (* 2 1) (* (cbrt (+ x (cos y))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))))) (* (cbrt (+ x (cos y))) (cbrt (sqrt (+ x (cos y))))) (* (cbrt (+ x (cos y))) (cbrt 1)) (* (cbrt (+ x (cos y))) (cbrt 1)) (* (cbrt (+ x (cos y))) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y)))))) (* (cbrt (+ x (cos y))) (sqrt (cbrt (+ x (cos y))))) (* (cbrt (+ x (cos y))) 1) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (+ x (cos y)))) (* (cbrt (sqrt (+ x (cos y)))) (cbrt (+ x (cos y)))) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (+ x (cos y)))) (* (sqrt (cbrt (+ x (cos y)))) (cbrt (+ x (cos y)))) (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))) (* (cbrt (+ x (cos y))) (cbrt (+ (pow x 3) (pow (cos y) 3)))) (* (cbrt (+ x (cos y))) (cbrt (- (* x x) (* (cos y) (cos y))))) (* (cbrt (+ (pow x 3) (pow (cos y) 3))) (cbrt (+ x (cos y)))) (* (cbrt (- (* x x) (* (cos y) (cos y)))) (cbrt (+ x (cos y)))) (- (+ (* 1/3 x) 1) (* 1/9 (pow x 2))) (- (+ (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (cos y))) (pow (/ 1 x) -1/3)) (* 1/9 (* (pow (/ 1 (pow x 5)) 1/3) (pow (cos y) 2)))) (- (+ (* 1/3 (/ (* (cos y) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 1/9 (/ (* (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow (cos y) 2)) (pow x 2)))) (- (+ (* 1/3 x) 1) (* 1/9 (pow x 2))) (- (+ (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (cos y))) (pow (/ 1 x) -1/3)) (* 1/9 (* (pow (/ 1 (pow x 5)) 1/3) (pow (cos y) 2)))) (- (+ (* 1/3 (/ (* (cos y) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 1/9 (/ (* (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow (cos y) 2)) (pow x 2)))) (- (+ (* 1/3 x) 1) (* 1/9 (pow x 2))) (- (+ (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (cos y))) (pow (/ 1 x) -1/3)) (* 1/9 (* (pow (/ 1 (pow x 5)) 1/3) (pow (cos y) 2)))) (- (+ (* 1/3 (/ (* (cos y) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 1/9 (/ (* (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow (cos y) 2)) (pow x 2)))) (- (+ (* 2/3 x) 1) (* 1/9 (pow x 2))) (- (+ (* 2/3 (* (pow (/ 1 x) 1/3) (cos y))) (pow (/ 1 x) -2/3)) (* 1/9 (* (pow (/ 1 (pow x 4)) 1/3) (pow (cos y) 2)))) (- (+ (* 2/3 (* (pow (/ 1 x) 1/3) (cos y))) (pow (/ -1 x) -2/3)) (* 1/9 (* (pow (/ 1 (pow x 4)) 1/3) (pow (cos y) 2)))) 2.901 * * [simplify]: iteration 0 : 284 enodes (cost 987 ) 2.907 * * [simplify]: iteration 1 : 972 enodes (cost 936 ) 2.929 * * [simplify]: iteration 2 : 4644 enodes (cost 860 ) 3.040 * * [simplify]: iteration 3 : 5001 enodes (cost 855 ) 3.045 * [simplify]: Simplified to: (log (cbrt (+ x (cos y)))) (exp (cbrt (+ x (cos y)))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (cbrt (cbrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y)))) 1 (cbrt (+ x (cos y))) 1 (cbrt (+ x (cos y))) (cbrt (+ (pow x 3) (pow (cos y) 3))) (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y))))) (cbrt (- (* x x) (* (cos y) (cos y)))) (cbrt (- x (cos y))) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y))))) (cbrt (cbrt (+ x (cos y)))) (+ x (cos y)) (sqrt (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y)))) (log (cbrt (+ x (cos y)))) (exp (cbrt (+ x (cos y)))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (cbrt (cbrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y)))) 1 (cbrt (+ x (cos y))) 1 (cbrt (+ x (cos y))) (cbrt (+ (pow x 3) (pow (cos y) 3))) (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y))))) (cbrt (- (* x x) (* (cos y) (cos y)))) (cbrt (- x (cos y))) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y))))) (cbrt (cbrt (+ x (cos y)))) (+ x (cos y)) (sqrt (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y)))) (log (cbrt (+ x (cos y)))) (exp (cbrt (+ x (cos y)))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (cbrt (cbrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y)))) 1 (cbrt (+ x (cos y))) 1 (cbrt (+ x (cos y))) (cbrt (+ (pow x 3) (pow (cos y) 3))) (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y))))) (cbrt (- (* x x) (* (cos y) (cos y)))) (cbrt (- x (cos y))) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y))))) (cbrt (cbrt (+ x (cos y)))) (+ x (cos y)) (sqrt (cbrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y)))) 2/3 2 (pow (cbrt (+ x (cos y))) 6) (pow (sqrt (cbrt (+ x (cos y)))) 4) 2 (* 2 (log (cbrt (+ x (cos y))))) (* 2 (log (cbrt (+ x (cos y))))) (pow (exp 1) (pow (sqrt (cbrt (+ x (cos y)))) 4)) (pow (cbrt (+ x (cos y))) 6) (* (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (pow (cbrt (+ x (cos y))) 6) (fabs (cbrt (+ x (cos y)))) (fabs (cbrt (+ x (cos y)))) (* (cbrt (+ (pow x 3) (pow (cos y) 3))) (cbrt (+ (pow x 3) (pow (cos y) 3)))) (* (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y))))) (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y)))))) (* (cbrt (+ (pow x 3) (pow (cos y) 3))) (cbrt (- (* x x) (* (cos y) (cos y))))) (* (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y))))) (cbrt (- x (cos y)))) (* (cbrt (+ (pow x 3) (pow (cos y) 3))) (cbrt (- (* x x) (* (cos y) (cos y))))) (* (cbrt (+ (* x x) (- (* (cos y) (cos y)) (* x (cos y))))) (cbrt (- x (cos y)))) (* (cbrt (- (* x x) (* (cos y) (cos y)))) (cbrt (- (* x x) (* (cos y) (cos y))))) (* (cbrt (- x (cos y))) (cbrt (- x (cos y)))) (* (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))))) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y))))) (* (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y))))) (* (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y))))) 1 (pow (sqrt (cbrt (+ x (cos y)))) 4) 1 (pow (sqrt (cbrt (+ x (cos y)))) 4) 1 (pow (sqrt (cbrt (+ x (cos y)))) 4) 1 (pow (sqrt (cbrt (+ x (cos y)))) 4) (pow (cbrt (cbrt (+ x (cos y)))) 4) (* (cbrt (cbrt (+ x (cos y)))) (cbrt (cbrt (+ x (cos y))))) (cbrt (+ x (cos y))) (cbrt (+ x (cos y))) 1 (pow (sqrt (cbrt (+ x (cos y)))) 4) (* (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y))))) (* (cbrt (sqrt (+ x (cos y)))) (cbrt (sqrt (+ x (cos y))))) (* (cbrt (sqrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y))))) (* (cbrt (sqrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y))))) (* (cbrt (sqrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y))))) (* (cbrt (sqrt (+ x (cos y)))) (sqrt (cbrt (+ x (cos y))))) (cbrt (+ x (cos y))) (cbrt (+ x (cos y))) 2/3 2 (* (cbrt (+ x (cos y))) (cbrt (* (cbrt (+ x (cos y))) (cbrt (+ x (cos y)))))) (* (cbrt (+ x (cos y))) (cbrt (sqrt (+ x (cos y))))) (cbrt (+ x (cos y))) (cbrt (+ x (cos y))) (pow (cbrt (cbrt (+ x (cos y)))) 5) (pow (sqrt (cbrt (+ x (cos y)))) 3) (cbrt (+ x (cos y))) (pow (cbrt (cbrt (+ x (cos y)))) 4) (* (cbrt (+ x (cos y))) (cbrt (sqrt (+ x (cos y))))) (pow (sqrt (cbrt (+ x (cos y)))) 4) (pow (sqrt (cbrt (+ x (cos y)))) 4) (pow (cbrt (cbrt (+ x (cos y)))) 4) (pow (sqrt (cbrt (+ x (cos y)))) 3) (pow (sqrt (cbrt (+ x (cos y)))) 4) (* (cbrt (+ x (cos y))) (cbrt (+ (pow x 3) (pow (cos y) 3)))) (* (cbrt (+ x (cos y))) (cbrt (- (* x x) (* (cos y) (cos y))))) (* (cbrt (+ x (cos y))) (cbrt (+ (pow x 3) (pow (cos y) 3)))) (* (cbrt (+ x (cos y))) (cbrt (- (* x x) (* (cos y) (cos y))))) (+ (* x (- 1/3 (* x 1/9))) 1) (+ (* (cos y) (- (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* (* 1/9 (pow (/ 1 (pow x 5)) 1/3)) (cos y)))) (pow (/ 1 x) -1/3)) (- (+ (* 1/3 (/ (* (cos y) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 1/9 (/ (* (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow (cos y) 2)) (pow x 2)))) (+ (* x (- 1/3 (* x 1/9))) 1) (+ (* (cos y) (- (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* (* 1/9 (pow (/ 1 (pow x 5)) 1/3)) (cos y)))) (pow (/ 1 x) -1/3)) (- (+ (* 1/3 (/ (* (cos y) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 1/9 (/ (* (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow (cos y) 2)) (pow x 2)))) (+ (* x (- 1/3 (* x 1/9))) 1) (+ (* (cos y) (- (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* (* 1/9 (pow (/ 1 (pow x 5)) 1/3)) (cos y)))) (pow (/ 1 x) -1/3)) (- (+ (* 1/3 (/ (* (cos y) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 1/9 (/ (* (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow (cos y) 2)) (pow x 2)))) (+ (* x (- 2/3 (* x 1/9))) 1) (+ (* (cos y) (- (* 2/3 (pow (/ 1 x) 1/3)) (* (* 1/9 (pow (/ 1 (pow x 4)) 1/3)) (cos y)))) (pow (/ 1 x) -2/3)) (+ (* (cos y) (- (* 2/3 (pow (/ 1 x) 1/3)) (* (* 1/9 (pow (/ 1 (pow x 4)) 1/3)) (cos y)))) (pow (/ -1 x) -2/3)) 3.046 * * * [progress]: adding candidates to table 3.529 * [progress]: [Phase 3 of 3] Extracting. 3.529 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.531 * * * [regime-changes]: Trying 3 branch expressions: (z y x) 3.531 * * * * [regimes]: Trying to branch on z from (# # # # # # #) 3.601 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 3.671 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.741 * * * [regime]: Found split indices: #