17.606 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.040 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (+ (+ x (sin y)) (* z (cos y))) 0.045 * * [simplify]: iteration 0 : 13 enodes (cost 5 ) 0.047 * * [simplify]: iteration 1 : 22 enodes (cost 4 ) 0.048 * * [simplify]: iteration 2 : 28 enodes (cost 4 ) 0.049 * * [simplify]: iteration 3 : 28 enodes (cost 4 ) 0.049 * [simplify]: Simplified to: (fma (cos y) z (+ x (sin y))) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.069 * [approximate]: Taking taylor expansion of (* (cos y) z) in (z y) around 0 0.069 * [taylor]: Taking taylor expansion of (* (cos y) z) in y 0.069 * [taylor]: Taking taylor expansion of (cos y) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of z in y 0.069 * [taylor]: Taking taylor expansion of (* (cos y) z) in z 0.069 * [taylor]: Taking taylor expansion of (cos y) in z 0.069 * [taylor]: Taking taylor expansion of y in z 0.069 * [taylor]: Taking taylor expansion of z in z 0.069 * [taylor]: Taking taylor expansion of (* (cos y) z) in z 0.069 * [taylor]: Taking taylor expansion of (cos y) in z 0.069 * [taylor]: Taking taylor expansion of y in z 0.069 * [taylor]: Taking taylor expansion of z in z 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of (cos y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in (z y) around 0 0.078 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 0.078 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of z in y 0.078 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 0.078 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.079 * [taylor]: Taking taylor expansion of y in z 0.079 * [taylor]: Taking taylor expansion of z in z 0.079 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 0.079 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in z 0.079 * [taylor]: Taking taylor expansion of y in z 0.079 * [taylor]: Taking taylor expansion of z in z 0.080 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in (z y) around 0 0.089 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 0.089 * [taylor]: Taking taylor expansion of -1 in y 0.089 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in y 0.089 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.089 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.089 * [taylor]: Taking taylor expansion of -1 in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of z in y 0.090 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 0.090 * [taylor]: Taking taylor expansion of -1 in z 0.090 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 0.090 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 0.090 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.090 * [taylor]: Taking taylor expansion of -1 in z 0.090 * [taylor]: Taking taylor expansion of y in z 0.090 * [taylor]: Taking taylor expansion of z in z 0.090 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 0.090 * [taylor]: Taking taylor expansion of -1 in z 0.090 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 0.090 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 0.090 * [taylor]: Taking taylor expansion of (/ -1 y) in z 0.090 * [taylor]: Taking taylor expansion of -1 in z 0.090 * [taylor]: Taking taylor expansion of y in z 0.090 * [taylor]: Taking taylor expansion of z in z 0.091 * [taylor]: Taking taylor expansion of (* -1 (cos (/ -1 y))) in y 0.091 * [taylor]: Taking taylor expansion of -1 in y 0.091 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.091 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.091 * [taylor]: Taking taylor expansion of -1 in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.103 * * * [progress]: simplifying candidates 0.103 * [simplify]: Simplifying using # : (expm1 (* z (cos y))) (log1p (* z (cos y))) (* 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)) z (* z (cos y)) (* z (cos y)) 0.106 * * [simplify]: iteration 0 : 62 enodes (cost 78 ) 0.108 * * [simplify]: iteration 1 : 221 enodes (cost 68 ) 0.112 * * [simplify]: iteration 2 : 518 enodes (cost 68 ) 0.118 * * [simplify]: iteration 3 : 798 enodes (cost 68 ) 0.128 * * [simplify]: iteration 4 : 1903 enodes (cost 68 ) 0.158 * * [simplify]: iteration 5 : 5002 enodes (cost 68 ) 0.158 * [simplify]: Simplified to: (expm1 (* z (cos y))) (log1p (* z (cos y))) (* 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)) z (* z (cos y)) (* z (cos y)) 0.159 * * * [progress]: adding candidates to table 0.200 * * [progress]: iteration 2 / 4 0.200 * * * [progress]: picking best candidate 0.208 * * * * [pick]: Picked # 0.208 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.222 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.223 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.224 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.232 * * * [progress]: generating series expansions 0.232 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.232 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 0.232 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.232 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.232 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.232 * [taylor]: Taking taylor expansion of 1/3 in y 0.232 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.232 * [taylor]: Taking taylor expansion of (cos y) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.239 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.239 * [taylor]: Taking taylor expansion of 1/3 in y 0.239 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.239 * [taylor]: Taking taylor expansion of (cos y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.259 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 0.259 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.259 * [taylor]: Taking taylor expansion of 1/3 in y 0.259 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.259 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.259 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.259 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.259 * [taylor]: Taking taylor expansion of 1/3 in y 0.259 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.259 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.291 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 0.291 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.291 * [taylor]: Taking taylor expansion of 1/3 in y 0.291 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.291 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.291 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.291 * [taylor]: Taking taylor expansion of -1 in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.291 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.291 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.291 * [taylor]: Taking taylor expansion of 1/3 in y 0.291 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.291 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.291 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.292 * [taylor]: Taking taylor expansion of -1 in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.326 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.326 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 0.326 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.326 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.326 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.326 * [taylor]: Taking taylor expansion of 1/3 in y 0.326 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.326 * [taylor]: Taking taylor expansion of (cos y) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.333 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.333 * [taylor]: Taking taylor expansion of 1/3 in y 0.333 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.334 * [taylor]: Taking taylor expansion of (cos y) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.359 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 0.359 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.359 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.359 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.359 * [taylor]: Taking taylor expansion of 1/3 in y 0.359 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.359 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.360 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.360 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.360 * [taylor]: Taking taylor expansion of 1/3 in y 0.360 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.360 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.390 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 0.390 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.390 * [taylor]: Taking taylor expansion of 1/3 in y 0.390 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.390 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.391 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.391 * [taylor]: Taking taylor expansion of -1 in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.391 * [taylor]: Taking taylor expansion of 1/3 in y 0.391 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.391 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.391 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.391 * [taylor]: Taking taylor expansion of -1 in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.424 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 0.424 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 0.424 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.424 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.424 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.424 * [taylor]: Taking taylor expansion of 1/3 in y 0.424 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.424 * [taylor]: Taking taylor expansion of (cos y) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 0.428 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 0.428 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 0.428 * [taylor]: Taking taylor expansion of 1/3 in y 0.428 * [taylor]: Taking taylor expansion of (log (cos y)) in y 0.428 * [taylor]: Taking taylor expansion of (cos y) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.448 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 0.448 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.448 * [taylor]: Taking taylor expansion of 1/3 in y 0.448 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.448 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 0.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 0.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 0.448 * [taylor]: Taking taylor expansion of 1/3 in y 0.448 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 0.448 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.482 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 0.482 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.482 * [taylor]: Taking taylor expansion of 1/3 in y 0.482 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.482 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.482 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.482 * [taylor]: Taking taylor expansion of -1 in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 0.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 0.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 0.482 * [taylor]: Taking taylor expansion of 1/3 in y 0.482 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 0.482 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.482 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.483 * [taylor]: Taking taylor expansion of -1 in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.513 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.513 * [approximate]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in (y) around 0 0.513 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 0.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 0.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 0.513 * [taylor]: Taking taylor expansion of 1/3 in y 0.513 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 0.513 * [taylor]: Taking taylor expansion of (cos y) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of (pow (pow (cos y) 2) 1/3) in y 0.518 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos y) 2)))) in y 0.518 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos y) 2))) in y 0.518 * [taylor]: Taking taylor expansion of 1/3 in y 0.518 * [taylor]: Taking taylor expansion of (log (pow (cos y) 2)) in y 0.518 * [taylor]: Taking taylor expansion of (pow (cos y) 2) in y 0.518 * [taylor]: Taking taylor expansion of (cos y) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.581 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in (y) around 0 0.581 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 0.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 0.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 0.581 * [taylor]: Taking taylor expansion of 1/3 in y 0.581 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 0.581 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 0.581 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ 1 y)) 2) 1/3) in y 0.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ 1 y)) 2)))) in y 0.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ 1 y)) 2))) in y 0.582 * [taylor]: Taking taylor expansion of 1/3 in y 0.582 * [taylor]: Taking taylor expansion of (log (pow (cos (/ 1 y)) 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 2) in y 0.582 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.621 * [approximate]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in (y) around 0 0.621 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 0.621 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 0.621 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 0.621 * [taylor]: Taking taylor expansion of 1/3 in y 0.621 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 0.621 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 0.621 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.621 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.621 * [taylor]: Taking taylor expansion of -1 in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of (pow (pow (cos (/ -1 y)) 2) 1/3) in y 0.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (cos (/ -1 y)) 2)))) in y 0.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (cos (/ -1 y)) 2))) in y 0.622 * [taylor]: Taking taylor expansion of 1/3 in y 0.622 * [taylor]: Taking taylor expansion of (log (pow (cos (/ -1 y)) 2)) in y 0.622 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 2) in y 0.622 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.622 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.622 * [taylor]: Taking taylor expansion of -1 in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.658 * * * [progress]: simplifying candidates 0.659 * [simplify]: Simplifying using # : (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (* (cbrt (cos y)) (cbrt (cos y)))) (log1p (* (cbrt (cos y)) (cbrt (cos y)))) (+ 1/3 1/3) (+ 1 1) (* (cos y) (cos y)) (* (cbrt (cos y)) (cbrt (cos y))) (+ 1 1) (+ (log (cbrt (cos y))) (log (cbrt (cos y)))) (log (* (cbrt (cos y)) (cbrt (cos y)))) (exp (* (cbrt (cos y)) (cbrt (cos y)))) (* (cos y) (cos y)) (* (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (* (* (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y)))) (* (cbrt (cos y)) (cbrt (cos y)))) (sqrt (* (cbrt (cos y)) (cbrt (cos y)))) (sqrt (* (cbrt (cos y)) (cbrt (cos y)))) (* (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (cos y)) (cbrt (cos y))) (* (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (* (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y)))) (* (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y)))) (* 1 1) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (sqrt (cbrt (cos y))) (cbrt (sqrt (cos y)))) (* (sqrt (cbrt (cos y))) (cbrt (sqrt (cos y)))) (* (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y)))) (* (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y)))) (* 2 1/3) (* 2 1) (* (cbrt (cos y)) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (cbrt (cos y)) (cbrt (sqrt (cos y)))) (* (cbrt (cos y)) (cbrt 1)) (* (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y))))) (* (cbrt (cos y)) (sqrt (cbrt (cos y)))) (* (cbrt (cos y)) 1) (* (cbrt (cbrt (cos y))) (cbrt (cos y))) (* (cbrt (sqrt (cos y))) (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (* (cbrt (cbrt (cos y))) (cbrt (cos y))) (* (sqrt (cbrt (cos y))) (cbrt (cos y))) (* (cbrt (cos y)) (cbrt (cos y))) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/3 (pow y 2)) (* 1/405 (pow y 6)))) (pow (pow (cos y) 2) 1/3) (pow (pow (cos y) 2) 1/3) 0.664 * * [simplify]: iteration 0 : 128 enodes (cost 471 ) 0.667 * * [simplify]: iteration 1 : 500 enodes (cost 419 ) 0.682 * * [simplify]: iteration 2 : 3232 enodes (cost 387 ) 0.757 * * [simplify]: iteration 3 : 5002 enodes (cost 381 ) 0.760 * [simplify]: Simplified to: (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (pow (cos y) 1/3) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (pow (cos y) 1/3) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) 1 (pow (cos y) 1/3) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (* (cbrt (cos y)) (cbrt (cos y)))) (log1p (* (cbrt (cos y)) (cbrt (cos y)))) 2/3 2 (pow (cos y) 2) (pow (cos y) 2/3) 2 (* 2/3 (log (cos y))) (* 2/3 (log (cos y))) (pow (exp 1) (pow (cos y) 2/3)) (pow (cos y) 2) (* (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (pow (cos y) 2) (fabs (pow (cos y) 1/3)) (fabs (pow (cos y) 1/3)) (* (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) 1 (pow (cos y) 2/3) (pow (cbrt (cbrt (cos y))) 4) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (pow (cos y) 1/3) (pow (cos y) 1/3) 1 (pow (cos y) 2/3) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (* (cbrt (sqrt (cos y))) (sqrt (cbrt (cos y)))) (pow (cos y) 1/3) (pow (cos y) 1/3) 2/3 2 (* (cbrt (cos y)) (cbrt (* (cbrt (cos y)) (cbrt (cos y))))) (* (cbrt (cos y)) (cbrt (sqrt (cos y)))) (pow (cos y) 1/3) (pow (cbrt (cbrt (cos y))) 5) (pow (sqrt (cbrt (cos y))) 3) (pow (cos y) 1/3) (pow (cbrt (cbrt (cos y))) 4) (* (cbrt (cos y)) (cbrt (sqrt (cos y)))) (pow (cos y) 2/3) (pow (cbrt (cbrt (cos y))) 4) (pow (sqrt (cbrt (cos y))) 3) (pow (cos y) 2/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/3 (pow y 2)) (* 1/405 (pow y 6)))) (pow (cos y) 2/3) (pow (cos y) 2/3) 0.760 * * * [progress]: adding candidates to table 0.968 * * [progress]: iteration 3 / 4 0.968 * * * [progress]: picking best candidate 0.983 * * * * [pick]: Picked # 0.983 * * * [progress]: localizing error 0.999 * * * [progress]: generating rewritten candidates 0.999 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.000 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 1.001 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 1.002 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 1.004 * * * [progress]: generating series expansions 1.004 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.005 * [approximate]: Taking taylor expansion of (log1p (pow (cos y) 1/3)) in (y) around 0 1.005 * [taylor]: Taking taylor expansion of (log1p (pow (cos y) 1/3)) in y 1.005 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos y) 1/3))) 1.005 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos y) 1/3)) in y 1.005 * [taylor]: Taking taylor expansion of 1 in y 1.005 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.005 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.005 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.005 * [taylor]: Taking taylor expansion of 1/3 in y 1.005 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.005 * [taylor]: Taking taylor expansion of (cos y) in y 1.005 * [taylor]: Taking taylor expansion of y in y 1.010 * [taylor]: Taking taylor expansion of (log1p (pow (cos y) 1/3)) in y 1.010 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos y) 1/3))) 1.010 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos y) 1/3)) in y 1.010 * [taylor]: Taking taylor expansion of 1 in y 1.010 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.010 * [taylor]: Taking taylor expansion of 1/3 in y 1.010 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.010 * [taylor]: Taking taylor expansion of (cos y) in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.044 * [approximate]: Taking taylor expansion of (log1p (pow (cos (/ 1 y)) 1/3)) in (y) around 0 1.044 * [taylor]: Taking taylor expansion of (log1p (pow (cos (/ 1 y)) 1/3)) in y 1.044 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos (/ 1 y)) 1/3))) 1.044 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos (/ 1 y)) 1/3)) in y 1.044 * [taylor]: Taking taylor expansion of 1 in y 1.044 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.044 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.044 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.044 * [taylor]: Taking taylor expansion of 1/3 in y 1.044 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.044 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.044 * [taylor]: Taking taylor expansion of y in y 1.045 * [taylor]: Taking taylor expansion of (log1p (pow (cos (/ 1 y)) 1/3)) in y 1.045 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos (/ 1 y)) 1/3))) 1.045 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos (/ 1 y)) 1/3)) in y 1.045 * [taylor]: Taking taylor expansion of 1 in y 1.045 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.045 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.045 * [taylor]: Taking taylor expansion of 1/3 in y 1.045 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.045 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.045 * [taylor]: Taking taylor expansion of y in y 1.096 * [approximate]: Taking taylor expansion of (log1p (pow (cos (/ -1 y)) 1/3)) in (y) around 0 1.096 * [taylor]: Taking taylor expansion of (log1p (pow (cos (/ -1 y)) 1/3)) in y 1.096 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos (/ -1 y)) 1/3))) 1.096 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos (/ -1 y)) 1/3)) in y 1.096 * [taylor]: Taking taylor expansion of 1 in y 1.096 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.096 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.096 * [taylor]: Taking taylor expansion of 1/3 in y 1.096 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.096 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.096 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.096 * [taylor]: Taking taylor expansion of -1 in y 1.096 * [taylor]: Taking taylor expansion of y in y 1.097 * [taylor]: Taking taylor expansion of (log1p (pow (cos (/ -1 y)) 1/3)) in y 1.097 * [taylor]: Rewrote expression to (log (+ 1 (pow (cos (/ -1 y)) 1/3))) 1.097 * [taylor]: Taking taylor expansion of (+ 1 (pow (cos (/ -1 y)) 1/3)) in y 1.097 * [taylor]: Taking taylor expansion of 1 in y 1.097 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.097 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.097 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.097 * [taylor]: Taking taylor expansion of 1/3 in y 1.097 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.097 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.097 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.097 * [taylor]: Taking taylor expansion of -1 in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.150 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 1.150 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 1.150 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.150 * [taylor]: Taking taylor expansion of 1/3 in y 1.150 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.150 * [taylor]: Taking taylor expansion of (cos y) in y 1.150 * [taylor]: Taking taylor expansion of y in y 1.154 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.154 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.154 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.154 * [taylor]: Taking taylor expansion of 1/3 in y 1.154 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.154 * [taylor]: Taking taylor expansion of (cos y) in y 1.154 * [taylor]: Taking taylor expansion of y in y 1.174 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 1.174 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.174 * [taylor]: Taking taylor expansion of 1/3 in y 1.174 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.174 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.174 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.174 * [taylor]: Taking taylor expansion of y in y 1.175 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.175 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.175 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.175 * [taylor]: Taking taylor expansion of 1/3 in y 1.175 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.175 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.175 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.175 * [taylor]: Taking taylor expansion of y in y 1.208 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 1.208 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.208 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.209 * [taylor]: Taking taylor expansion of 1/3 in y 1.209 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.209 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.209 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.209 * [taylor]: Taking taylor expansion of -1 in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.209 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.209 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.209 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.209 * [taylor]: Taking taylor expansion of 1/3 in y 1.209 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.209 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.209 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.209 * [taylor]: Taking taylor expansion of -1 in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.241 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 1.241 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 1.241 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.241 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.241 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.241 * [taylor]: Taking taylor expansion of 1/3 in y 1.241 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.241 * [taylor]: Taking taylor expansion of (cos y) in y 1.241 * [taylor]: Taking taylor expansion of y in y 1.245 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.245 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.245 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.245 * [taylor]: Taking taylor expansion of 1/3 in y 1.245 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.245 * [taylor]: Taking taylor expansion of (cos y) in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.270 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 1.270 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.270 * [taylor]: Taking taylor expansion of 1/3 in y 1.270 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.270 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.270 * [taylor]: Taking taylor expansion of y in y 1.271 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.271 * [taylor]: Taking taylor expansion of 1/3 in y 1.271 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.271 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.271 * [taylor]: Taking taylor expansion of y in y 1.304 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 1.304 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.304 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.304 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.304 * [taylor]: Taking taylor expansion of 1/3 in y 1.304 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.304 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.304 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.304 * [taylor]: Taking taylor expansion of -1 in y 1.304 * [taylor]: Taking taylor expansion of y in y 1.305 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.305 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.305 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.305 * [taylor]: Taking taylor expansion of 1/3 in y 1.305 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.305 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.305 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.305 * [taylor]: Taking taylor expansion of -1 in y 1.305 * [taylor]: Taking taylor expansion of y in y 1.337 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.337 * [approximate]: Taking taylor expansion of (pow (cos y) 1/3) in (y) around 0 1.337 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.337 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.337 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.337 * [taylor]: Taking taylor expansion of 1/3 in y 1.337 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.337 * [taylor]: Taking taylor expansion of (cos y) in y 1.337 * [taylor]: Taking taylor expansion of y in y 1.342 * [taylor]: Taking taylor expansion of (pow (cos y) 1/3) in y 1.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos y)))) in y 1.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos y))) in y 1.342 * [taylor]: Taking taylor expansion of 1/3 in y 1.342 * [taylor]: Taking taylor expansion of (log (cos y)) in y 1.342 * [taylor]: Taking taylor expansion of (cos y) in y 1.342 * [taylor]: Taking taylor expansion of y in y 1.368 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in (y) around 0 1.368 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.368 * [taylor]: Taking taylor expansion of 1/3 in y 1.368 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.368 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.368 * [taylor]: Taking taylor expansion of y in y 1.369 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 y)) 1/3) in y 1.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1 y))))) in y 1.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1 y)))) in y 1.369 * [taylor]: Taking taylor expansion of 1/3 in y 1.369 * [taylor]: Taking taylor expansion of (log (cos (/ 1 y))) in y 1.369 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.369 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.369 * [taylor]: Taking taylor expansion of y in y 1.400 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in (y) around 0 1.400 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.401 * [taylor]: Taking taylor expansion of 1/3 in y 1.401 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.401 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.401 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.401 * [taylor]: Taking taylor expansion of -1 in y 1.401 * [taylor]: Taking taylor expansion of y in y 1.401 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 y)) 1/3) in y 1.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1 y))))) in y 1.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1 y)))) in y 1.401 * [taylor]: Taking taylor expansion of 1/3 in y 1.401 * [taylor]: Taking taylor expansion of (log (cos (/ -1 y))) in y 1.401 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.401 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.401 * [taylor]: Taking taylor expansion of -1 in y 1.401 * [taylor]: Taking taylor expansion of y in y 1.440 * * * [progress]: simplifying candidates 1.441 * [simplify]: Simplifying using # : (+ 1 (cbrt (cos y))) (expm1 (log1p (cbrt (cos y)))) (log1p (log1p (cbrt (cos y)))) (log (log1p (cbrt (cos y)))) (exp (log1p (cbrt (cos y)))) (* (cbrt (log1p (cbrt (cos y)))) (cbrt (log1p (cbrt (cos y))))) (cbrt (log1p (cbrt (cos y)))) (* (* (log1p (cbrt (cos y))) (log1p (cbrt (cos y)))) (log1p (cbrt (cos y)))) (sqrt (log1p (cbrt (cos y)))) (sqrt (log1p (cbrt (cos y)))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (* (* (cbrt (cos y)) (cbrt (cos y))) (cbrt (cos y))) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (- (log 2) (+ (* 1/12 (pow y 2)) (* 1/96 (pow y 4)))) (log (+ (pow (cos y) 1/3) 1)) (log (+ (pow (cos y) 1/3) 1)) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) (- 1 (+ (* 1/6 (pow y 2)) (* 1/72 (pow y 4)))) (pow (cos y) 1/3) (pow (cos y) 1/3) 1.444 * * [simplify]: iteration 0 : 80 enodes (cost 256 ) 1.446 * * [simplify]: iteration 1 : 209 enodes (cost 232 ) 1.450 * * [simplify]: iteration 2 : 628 enodes (cost 225 ) 1.467 * * [simplify]: iteration 3 : 3119 enodes (cost 225 ) 1.576 * * [simplify]: iteration 4 : 5002 enodes (cost 221 ) 1.578 * [simplify]: Simplified to: (+ (pow (cos y) 1/3) 1) (cbrt (cos y)) (log1p (log1p (cbrt (cos y)))) (log (log1p (cbrt (cos y)))) (+ (pow (cos y) 1/3) 1) (* (cbrt (log1p (cbrt (cos y)))) (cbrt (log1p (cbrt (cos y))))) (cbrt (log1p (cbrt (cos y)))) (pow (log1p (cbrt (cos y))) 3) (sqrt (log1p (cbrt (cos y)))) (sqrt (log1p (cbrt (cos y)))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (expm1 (cbrt (cos y))) (log1p (cbrt (cos y))) (log (cbrt (cos y))) (exp (cbrt (cos y))) (cbrt (* (cbrt (cos y)) (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cbrt (sqrt (cos y))) (cbrt (sqrt (cos y))) (cbrt 1) (cbrt (cos y)) (* (cbrt (cbrt (cos y))) (cbrt (cbrt (cos y)))) (cbrt (cbrt (cos y))) (cos y) (sqrt (cbrt (cos y))) (sqrt (cbrt (cos y))) (fma (- (pow y 2)) (fma y (* y 1/96) 1/12) (log 2)) (log1p (cbrt (cos y))) (log1p (cbrt (cos y))) (fma (- (pow y 2)) (fma y (* y 1/72) 1/6) 1) (cbrt (cos y)) (cbrt (cos y)) (fma (- (pow y 2)) (fma y (* y 1/72) 1/6) 1) (cbrt (cos y)) (cbrt (cos y)) (fma (- (pow y 2)) (fma y (* y 1/72) 1/6) 1) (cbrt (cos y)) (cbrt (cos y)) 1.578 * * * [progress]: adding candidates to table 1.744 * * [progress]: iteration 4 / 4 1.744 * * * [progress]: picking best candidate 1.756 * * * * [pick]: Picked # 1.756 * * * [progress]: localizing error 1.770 * * * [progress]: generating rewritten candidates 1.770 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.778 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.783 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.785 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.788 * * * [progress]: generating series expansions 1.788 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.788 * [approximate]: Taking taylor expansion of (* z (cos y)) in (z y) around 0 1.788 * [taylor]: Taking taylor expansion of (* z (cos y)) in y 1.788 * [taylor]: Taking taylor expansion of z in y 1.788 * [taylor]: Taking taylor expansion of (cos y) in y 1.788 * [taylor]: Taking taylor expansion of y in y 1.788 * [taylor]: Taking taylor expansion of (* z (cos y)) in z 1.788 * [taylor]: Taking taylor expansion of z in z 1.788 * [taylor]: Taking taylor expansion of (cos y) in z 1.788 * [taylor]: Taking taylor expansion of y in z 1.788 * [taylor]: Taking taylor expansion of (* z (cos y)) in z 1.788 * [taylor]: Taking taylor expansion of z in z 1.788 * [taylor]: Taking taylor expansion of (cos y) in z 1.788 * [taylor]: Taking taylor expansion of y in z 1.789 * [taylor]: Taking taylor expansion of 0 in y 1.791 * [taylor]: Taking taylor expansion of (cos y) in y 1.791 * [taylor]: Taking taylor expansion of y in y 1.793 * [taylor]: Taking taylor expansion of 0 in y 1.797 * [taylor]: Taking taylor expansion of 0 in y 1.797 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in (z y) around 0 1.797 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in y 1.797 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.797 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.797 * [taylor]: Taking taylor expansion of y in y 1.797 * [taylor]: Taking taylor expansion of z in y 1.797 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 1.798 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 1.798 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.798 * [taylor]: Taking taylor expansion of y in z 1.798 * [taylor]: Taking taylor expansion of z in z 1.798 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 y)) z) in z 1.798 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 1.798 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.798 * [taylor]: Taking taylor expansion of y in z 1.798 * [taylor]: Taking taylor expansion of z in z 1.799 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.799 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.799 * [taylor]: Taking taylor expansion of y in y 1.801 * [taylor]: Taking taylor expansion of 0 in y 1.804 * [taylor]: Taking taylor expansion of 0 in y 1.808 * [taylor]: Taking taylor expansion of 0 in y 1.808 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in (z y) around 0 1.808 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in y 1.808 * [taylor]: Taking taylor expansion of -1 in y 1.808 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in y 1.808 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.808 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.808 * [taylor]: Taking taylor expansion of -1 in y 1.808 * [taylor]: Taking taylor expansion of y in y 1.809 * [taylor]: Taking taylor expansion of z in y 1.809 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 1.809 * [taylor]: Taking taylor expansion of -1 in z 1.809 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 1.809 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 1.809 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.809 * [taylor]: Taking taylor expansion of -1 in z 1.809 * [taylor]: Taking taylor expansion of y in z 1.809 * [taylor]: Taking taylor expansion of z in z 1.809 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 y)) z)) in z 1.809 * [taylor]: Taking taylor expansion of -1 in z 1.809 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 y)) z) in z 1.809 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 1.809 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.809 * [taylor]: Taking taylor expansion of -1 in z 1.809 * [taylor]: Taking taylor expansion of y in z 1.809 * [taylor]: Taking taylor expansion of z in z 1.810 * [taylor]: Taking taylor expansion of (* -1 (cos (/ -1 y))) in y 1.810 * [taylor]: Taking taylor expansion of -1 in y 1.810 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.810 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.810 * [taylor]: Taking taylor expansion of -1 in y 1.810 * [taylor]: Taking taylor expansion of y in y 1.813 * [taylor]: Taking taylor expansion of 0 in y 1.817 * [taylor]: Taking taylor expansion of 0 in y 1.822 * [taylor]: Taking taylor expansion of 0 in y 1.822 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.822 * [approximate]: Taking taylor expansion of (* (sqrt (cos y)) z) in (z y) around 0 1.822 * [taylor]: Taking taylor expansion of (* (sqrt (cos y)) z) in y 1.822 * [taylor]: Taking taylor expansion of (sqrt (cos y)) in y 1.822 * [taylor]: Taking taylor expansion of (cos y) in y 1.822 * [taylor]: Taking taylor expansion of y in y 1.823 * [taylor]: Taking taylor expansion of z in y 1.823 * [taylor]: Taking taylor expansion of (* (sqrt (cos y)) z) in z 1.823 * [taylor]: Taking taylor expansion of (sqrt (cos y)) in z 1.823 * [taylor]: Taking taylor expansion of (cos y) in z 1.823 * [taylor]: Taking taylor expansion of y in z 1.825 * [taylor]: Taking taylor expansion of z in z 1.825 * [taylor]: Taking taylor expansion of (* (sqrt (cos y)) z) in z 1.825 * [taylor]: Taking taylor expansion of (sqrt (cos y)) in z 1.825 * [taylor]: Taking taylor expansion of (cos y) in z 1.825 * [taylor]: Taking taylor expansion of y in z 1.827 * [taylor]: Taking taylor expansion of z in z 1.827 * [taylor]: Taking taylor expansion of 0 in y 1.828 * [taylor]: Taking taylor expansion of (sqrt (cos y)) in y 1.828 * [taylor]: Taking taylor expansion of (cos y) in y 1.828 * [taylor]: Taking taylor expansion of y in y 1.831 * [taylor]: Taking taylor expansion of 0 in y 1.835 * [taylor]: Taking taylor expansion of 0 in y 1.835 * [approximate]: Taking taylor expansion of (* (sqrt (cos (/ 1 y))) (/ 1 z)) in (z y) around 0 1.835 * [taylor]: Taking taylor expansion of (* (sqrt (cos (/ 1 y))) (/ 1 z)) in y 1.835 * [taylor]: Taking taylor expansion of (sqrt (cos (/ 1 y))) in y 1.835 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.835 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.835 * [taylor]: Taking taylor expansion of y in y 1.835 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.835 * [taylor]: Taking taylor expansion of z in y 1.835 * [taylor]: Taking taylor expansion of (* (sqrt (cos (/ 1 y))) (/ 1 z)) in z 1.835 * [taylor]: Taking taylor expansion of (sqrt (cos (/ 1 y))) in z 1.835 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 1.835 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.835 * [taylor]: Taking taylor expansion of y in z 1.838 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.838 * [taylor]: Taking taylor expansion of z in z 1.838 * [taylor]: Taking taylor expansion of (* (sqrt (cos (/ 1 y))) (/ 1 z)) in z 1.838 * [taylor]: Taking taylor expansion of (sqrt (cos (/ 1 y))) in z 1.838 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in z 1.838 * [taylor]: Taking taylor expansion of (/ 1 y) in z 1.838 * [taylor]: Taking taylor expansion of y in z 1.840 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.840 * [taylor]: Taking taylor expansion of z in z 1.840 * [taylor]: Taking taylor expansion of (sqrt (cos (/ 1 y))) in y 1.840 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.840 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.840 * [taylor]: Taking taylor expansion of y in y 1.842 * [taylor]: Taking taylor expansion of 0 in y 1.845 * [taylor]: Taking taylor expansion of 0 in y 1.854 * [taylor]: Taking taylor expansion of 0 in y 1.855 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (cos (/ -1 y))) (/ 1 z))) in (z y) around 0 1.855 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (cos (/ -1 y))) (/ 1 z))) in y 1.855 * [taylor]: Taking taylor expansion of -1 in y 1.855 * [taylor]: Taking taylor expansion of (* (sqrt (cos (/ -1 y))) (/ 1 z)) in y 1.855 * [taylor]: Taking taylor expansion of (sqrt (cos (/ -1 y))) in y 1.855 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.855 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.855 * [taylor]: Taking taylor expansion of -1 in y 1.855 * [taylor]: Taking taylor expansion of y in y 1.855 * [taylor]: Taking taylor expansion of (/ 1 z) in y 1.855 * [taylor]: Taking taylor expansion of z in y 1.855 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (cos (/ -1 y))) (/ 1 z))) in z 1.855 * [taylor]: Taking taylor expansion of -1 in z 1.855 * [taylor]: Taking taylor expansion of (* (sqrt (cos (/ -1 y))) (/ 1 z)) in z 1.855 * [taylor]: Taking taylor expansion of (sqrt (cos (/ -1 y))) in z 1.855 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 1.855 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.855 * [taylor]: Taking taylor expansion of -1 in z 1.855 * [taylor]: Taking taylor expansion of y in z 1.857 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.858 * [taylor]: Taking taylor expansion of z in z 1.858 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (cos (/ -1 y))) (/ 1 z))) in z 1.858 * [taylor]: Taking taylor expansion of -1 in z 1.858 * [taylor]: Taking taylor expansion of (* (sqrt (cos (/ -1 y))) (/ 1 z)) in z 1.858 * [taylor]: Taking taylor expansion of (sqrt (cos (/ -1 y))) in z 1.858 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in z 1.858 * [taylor]: Taking taylor expansion of (/ -1 y) in z 1.858 * [taylor]: Taking taylor expansion of -1 in z 1.858 * [taylor]: Taking taylor expansion of y in z 1.860 * [taylor]: Taking taylor expansion of (/ 1 z) in z 1.860 * [taylor]: Taking taylor expansion of z in z 1.860 * [taylor]: Taking taylor expansion of (* -1 (sqrt (cos (/ -1 y)))) in y 1.860 * [taylor]: Taking taylor expansion of -1 in y 1.861 * [taylor]: Taking taylor expansion of (sqrt (cos (/ -1 y))) in y 1.861 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.861 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.861 * [taylor]: Taking taylor expansion of -1 in y 1.861 * [taylor]: Taking taylor expansion of y in y 1.862 * [taylor]: Taking taylor expansion of 0 in y 1.866 * [taylor]: Taking taylor expansion of 0 in y 1.872 * [taylor]: Taking taylor expansion of 0 in y 1.872 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.872 * [approximate]: Taking taylor expansion of (sqrt (cos y)) in (y) around 0 1.872 * [taylor]: Taking taylor expansion of (sqrt (cos y)) in y 1.872 * [taylor]: Taking taylor expansion of (cos y) in y 1.872 * [taylor]: Taking taylor expansion of y in y 1.873 * [taylor]: Taking taylor expansion of (sqrt (cos y)) in y 1.873 * [taylor]: Taking taylor expansion of (cos y) in y 1.873 * [taylor]: Taking taylor expansion of y in y 1.879 * [approximate]: Taking taylor expansion of (sqrt (cos (/ 1 y))) in (y) around 0 1.879 * [taylor]: Taking taylor expansion of (sqrt (cos (/ 1 y))) in y 1.879 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.879 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.879 * [taylor]: Taking taylor expansion of y in y 1.879 * [taylor]: Taking taylor expansion of (sqrt (cos (/ 1 y))) in y 1.879 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.879 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.879 * [taylor]: Taking taylor expansion of y in y 1.882 * [approximate]: Taking taylor expansion of (sqrt (cos (/ -1 y))) in (y) around 0 1.882 * [taylor]: Taking taylor expansion of (sqrt (cos (/ -1 y))) in y 1.882 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.882 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.882 * [taylor]: Taking taylor expansion of -1 in y 1.882 * [taylor]: Taking taylor expansion of y in y 1.883 * [taylor]: Taking taylor expansion of (sqrt (cos (/ -1 y))) in y 1.883 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.883 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.883 * [taylor]: Taking taylor expansion of -1 in y 1.883 * [taylor]: Taking taylor expansion of y in y 1.886 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.886 * [approximate]: Taking taylor expansion of (sqrt (cos y)) in (y) around 0 1.886 * [taylor]: Taking taylor expansion of (sqrt (cos y)) in y 1.886 * [taylor]: Taking taylor expansion of (cos y) in y 1.886 * [taylor]: Taking taylor expansion of y in y 1.887 * [taylor]: Taking taylor expansion of (sqrt (cos y)) in y 1.887 * [taylor]: Taking taylor expansion of (cos y) in y 1.887 * [taylor]: Taking taylor expansion of y in y 1.892 * [approximate]: Taking taylor expansion of (sqrt (cos (/ 1 y))) in (y) around 0 1.892 * [taylor]: Taking taylor expansion of (sqrt (cos (/ 1 y))) in y 1.892 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.892 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.892 * [taylor]: Taking taylor expansion of y in y 1.893 * [taylor]: Taking taylor expansion of (sqrt (cos (/ 1 y))) in y 1.893 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.893 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.893 * [taylor]: Taking taylor expansion of y in y 1.896 * [approximate]: Taking taylor expansion of (sqrt (cos (/ -1 y))) in (y) around 0 1.896 * [taylor]: Taking taylor expansion of (sqrt (cos (/ -1 y))) in y 1.896 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.896 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.896 * [taylor]: Taking taylor expansion of -1 in y 1.896 * [taylor]: Taking taylor expansion of y in y 1.896 * [taylor]: Taking taylor expansion of (sqrt (cos (/ -1 y))) in y 1.896 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.896 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.896 * [taylor]: Taking taylor expansion of -1 in y 1.896 * [taylor]: Taking taylor expansion of y in y 1.899 * * * [progress]: simplifying candidates 1.900 * [simplify]: Simplifying using # : (expm1 (* (* z (sqrt (cos y))) (sqrt (cos y)))) (log1p (* (* z (sqrt (cos y))) (sqrt (cos y)))) (* (* 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))) (expm1 (* z (sqrt (cos y)))) (log1p (* z (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))) (expm1 (sqrt (cos y))) (log1p (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))) (expm1 (sqrt (cos y))) (log1p (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 (* z (cos y)) (* z (cos y)) z (* z (sqrt (cos y))) (* z (sqrt (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)) 1.904 * * [simplify]: iteration 0 : 164 enodes (cost 390 ) 1.908 * * [simplify]: iteration 1 : 721 enodes (cost 346 ) 1.923 * * [simplify]: iteration 2 : 2852 enodes (cost 340 ) 1.974 * * [simplify]: iteration 3 : 5002 enodes (cost 340 ) 1.976 * [simplify]: Simplified to: (expm1 (* (* z (sqrt (cos y))) (sqrt (cos y)))) (log1p (* (* z (sqrt (cos y))) (sqrt (cos y)))) (* 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) (expm1 (* z (sqrt (cos y)))) (log1p (* z (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))) (expm1 (sqrt (cos y))) (log1p (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))) (expm1 (sqrt (cos y))) (log1p (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 (* z (cos y)) (* z (cos y)) z (* z (sqrt (cos y))) (* z (sqrt (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)) 1.977 * * * [progress]: adding candidates to table 2.143 * [progress]: [Phase 3 of 3] Extracting. 2.144 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.145 * * * [regime-changes]: Trying 4 branch expressions: ((+ (+ x (sin y)) (* z (cos y))) z y x) 2.145 * * * * [regimes]: Trying to branch on (+ (+ x (sin y)) (* z (cos y))) from (# # # # # # #) 2.182 * * * * [regimes]: Trying to branch on z from (# # # # # # #) 2.222 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 2.262 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 2.292 * * * [regime]: Found split indices: #