37.138 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.068 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.072 * [simplify]: Simplifying using # : (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0.074 * * [simplify]: iteration 0 : 11 enodes (cost 7 ) 0.074 * * [simplify]: iteration 1 : 13 enodes (cost 7 ) 0.075 * * [simplify]: iteration 2 : 13 enodes (cost 7 ) 0.076 * [simplify]: Simplified to: (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 0.076 * * [progress]: iteration 1 / 4 0.076 * * * [progress]: picking best candidate 0.079 * * * * [pick]: Picked # 0.079 * * * [progress]: localizing error 0.089 * * * [progress]: generating rewritten candidates 0.089 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.091 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.093 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.098 * * * [progress]: generating series expansions 0.098 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.099 * [approximate]: Approximating (tan (* 0.5 (/ x y))) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.103 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.106 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.113 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.114 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.115 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.121 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.124 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.129 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.130 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.130 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.131 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.133 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.136 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.141 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.141 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.142 * [approximate]: Approximating (sin (* 0.5 (/ x y))) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.142 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.144 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.146 * [approximate]: Approximating (sin (* 0.5 (/ y x))) in (x y) around 0 0.146 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.146 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.146 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.147 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.148 * [approximate]: Approximating (sin (* 0.5 (/ y x))) in (x y) around 0 0.148 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.148 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.148 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.149 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.149 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.149 * [approximate]: Approximating (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in (x y) around 0 0.151 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.154 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.158 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.169 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ x y))) (sin (* 0.5 (/ x y)))) in y 0.169 * [approximate]: Approximating (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.170 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.171 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.173 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.174 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.177 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.177 * [approximate]: Approximating (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.180 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.181 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.183 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.185 * [taylor]: Taking taylor expansion of (/ (tan (* 0.5 (/ y x))) (sin (* 0.5 (/ y x)))) in y 0.186 * * * [progress]: simplifying candidates 0.186 * [simplify]: Simplifying using # : (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (- (log (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0))))) (log (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (exp (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))) (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (* (* (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (neg (tan (/ x (* y 2.0)))) (neg (sin (/ x (* y 2.0)))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) 1) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ (sqrt (tan (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (sqrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) 1) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (cbrt (sin (/ x (* y 2.0))))) (/ 1 (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (/ 1 1) (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ 1 (sin (/ x (* y 2.0)))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) 1) (/ (sin (/ x (* y 2.0))) (cbrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (sqrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 1.0 (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.190 * * [simplify]: iteration 0 : 138 enodes (cost 457 ) 0.193 * * [simplify]: iteration 1 : 421 enodes (cost 413 ) 0.200 * * [simplify]: iteration 2 : 1751 enodes (cost 413 ) 0.234 * * [simplify]: iteration 3 : 5002 enodes (cost 413 ) 0.236 * [simplify]: Simplified to: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (pow (sin (/ x (* y 2.0))) 3) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (log (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (log (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (exp (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) (* (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))) (cbrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (sqrt (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))) (neg (tan (/ x (* y 2.0)))) (neg (sin (/ x (* y 2.0)))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (cbrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (sqrt (sin (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (/ (cbrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ (sqrt (tan (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (sqrt (tan (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (/ (sqrt (tan (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0))))) (sqrt (tan (/ x (* y 2.0)))) (/ (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (/ 1 (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (cbrt (sin (/ x (* y 2.0))))) (/ 1 (sqrt (sin (/ x (* y 2.0))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) 1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (/ 1 (sin (/ x (* y 2.0)))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (/ (tan (/ x (* y 2.0))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0)))))) (/ (tan (/ x (* y 2.0))) (sqrt (sin (/ x (* y 2.0))))) (tan (/ x (* y 2.0))) (/ (sin (/ x (* y 2.0))) (cbrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (sqrt (tan (/ x (* y 2.0))))) (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 1.0 (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) (+ (* 0.125 (/ (pow x 2) (pow y 2))) 1) 0.236 * * * [progress]: adding candidates to table 0.374 * * [progress]: iteration 2 / 4 0.374 * * * [progress]: picking best candidate 0.416 * * * * [pick]: Picked # 0.416 * * * [progress]: localizing error 0.416 * * * [progress]: generating rewritten candidates 0.416 * * * [progress]: generating series expansions 0.416 * * * [progress]: simplifying candidates 0.416 * [simplify]: Simplifying using # : 0.418 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.418 * [simplify]: Simplified to: 0.418 * * * [progress]: adding candidates to table 0.418 * * [progress]: iteration 3 / 4 0.418 * * * [progress]: picking best candidate 0.460 * * * * [pick]: Picked # 0.460 * * * [progress]: localizing error 0.475 * * * [progress]: generating rewritten candidates 0.475 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.477 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 0.479 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.481 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.483 * * * [progress]: generating series expansions 0.483 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.483 * [approximate]: Approximating (tan (* 0.5 (/ x y))) in (x y) around 0 0.484 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.488 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.491 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.498 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.499 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.500 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.502 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.505 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.513 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.513 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.514 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.514 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.517 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.520 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.525 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.525 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 0.526 * [approximate]: Approximating (tan (* 0.5 (/ x y))) in (x y) around 0 0.526 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.530 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.533 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.541 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.542 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.542 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.545 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.548 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.553 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.553 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.554 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.554 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.557 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.560 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.565 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.565 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.565 * [approximate]: Approximating (tan (* 0.5 (/ x y))) in (x y) around 0 0.566 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.569 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.572 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.579 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.580 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.581 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.583 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.589 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.594 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.594 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.595 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.596 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.598 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.601 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.606 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.606 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.607 * [approximate]: Approximating (sin (* 0.5 (/ x y))) in (x y) around 0 0.607 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.607 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.609 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.611 * [approximate]: Approximating (sin (* 0.5 (/ y x))) in (x y) around 0 0.611 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.611 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.611 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.612 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.612 * [approximate]: Approximating (sin (* 0.5 (/ y x))) in (x y) around 0 0.613 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.613 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.613 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.614 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.614 * * * [progress]: simplifying candidates 0.615 * [simplify]: Simplifying using # : (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 0.617 * * [simplify]: iteration 0 : 56 enodes (cost 224 ) 0.619 * * [simplify]: iteration 1 : 123 enodes (cost 196 ) 0.622 * * [simplify]: iteration 2 : 434 enodes (cost 196 ) 0.630 * * [simplify]: iteration 3 : 1952 enodes (cost 196 ) 0.662 * * [simplify]: iteration 4 : 5001 enodes (cost 196 ) 0.663 * [simplify]: Simplified to: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (pow (sin (/ x (* y 2.0))) 3) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 0.664 * * * [progress]: adding candidates to table 0.794 * * [progress]: iteration 4 / 4 0.794 * * * [progress]: picking best candidate 0.842 * * * * [pick]: Picked # 0.842 * * * [progress]: localizing error 0.859 * * * [progress]: generating rewritten candidates 0.860 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.862 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 0.864 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.866 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.868 * * * [progress]: generating series expansions 0.868 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.868 * [approximate]: Approximating (tan (* 0.5 (/ x y))) in (x y) around 0 0.869 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.872 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.875 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.883 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.884 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.884 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.887 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.889 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.894 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.895 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.895 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.896 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.898 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.901 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.906 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.906 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 0.906 * [approximate]: Approximating (tan (* 0.5 (/ x y))) in (x y) around 0 0.907 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.910 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.916 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.924 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.925 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.925 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.928 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.931 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.935 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.936 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.937 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.937 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.940 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.942 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.947 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.948 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.948 * [approximate]: Approximating (tan (* 0.5 (/ x y))) in (x y) around 0 0.948 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.951 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.955 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ x y))) in y 0.962 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.963 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.963 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.966 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.969 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.974 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.974 * [approximate]: Approximating (tan (* 0.5 (/ y x))) in (x y) around 0 0.975 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.975 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.978 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.980 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.985 * [taylor]: Taking taylor expansion of (tan (* 0.5 (/ y x))) in y 0.986 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.986 * [approximate]: Approximating (sin (* 0.5 (/ x y))) in (x y) around 0 0.986 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.986 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.991 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ x y))) in y 0.992 * [approximate]: Approximating (sin (* 0.5 (/ y x))) in (x y) around 0 0.992 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.993 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.993 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.994 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.994 * [approximate]: Approximating (sin (* 0.5 (/ y x))) in (x y) around 0 0.994 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.994 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.994 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.996 * [taylor]: Taking taylor expansion of (sin (* 0.5 (/ y x))) in y 0.996 * * * [progress]: simplifying candidates 0.996 * [simplify]: Simplifying using # : (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (* (* (tan (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (* (* (sin (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 0.999 * * [simplify]: iteration 0 : 56 enodes (cost 224 ) 1.001 * * [simplify]: iteration 1 : 123 enodes (cost 196 ) 1.003 * * [simplify]: iteration 2 : 434 enodes (cost 196 ) 1.011 * * [simplify]: iteration 3 : 1952 enodes (cost 196 ) 1.042 * * [simplify]: iteration 4 : 5001 enodes (cost 196 ) 1.044 * [simplify]: Simplified to: (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0))) (log (tan (/ x (* y 2.0)))) (exp (tan (/ x (* y 2.0)))) (* (cbrt (tan (/ x (* y 2.0)))) (cbrt (tan (/ x (* y 2.0))))) (cbrt (tan (/ x (* y 2.0)))) (pow (tan (/ x (* y 2.0))) 3) (sqrt (tan (/ x (* y 2.0)))) (sqrt (tan (/ x (* y 2.0)))) (log (sin (/ x (* y 2.0)))) (exp (sin (/ x (* y 2.0)))) (* (cbrt (sin (/ x (* y 2.0)))) (cbrt (sin (/ x (* y 2.0))))) (cbrt (sin (/ x (* y 2.0)))) (pow (sin (/ x (* y 2.0))) 3) (sqrt (sin (/ x (* y 2.0)))) (sqrt (sin (/ x (* y 2.0)))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) (+ (* 0.04166666666666667 (/ (pow x 3) (pow y 3))) (* 0.5 (/ x y))) 0 (* 0.5 (/ x y)) (* 0.5 (/ x y)) 1.044 * * * [progress]: adding candidates to table 1.189 * [progress]: [Phase 3 of 3] Extracting. 1.189 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 1.194 * * * [regime-changes]: Trying 4 branch expressions: ((* y 2.0) (/ x (* y 2.0)) y x) 1.194 * * * * [regimes]: Trying to branch on (* y 2.0) from (# # # # # # # # # # # # # #) 1.283 * * * * [regimes]: Trying to branch on (/ x (* y 2.0)) from (# # # # # # # # # # # # # #) 1.367 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # # #) 1.456 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 1.543 * * * [regime]: Found split indices: #