150.010 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.081 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.085 * [simplify]: Simplifying using # : (* (cosh x) (/ (sin y) y)) 0.086 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.087 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.088 * * [simplify]: iteration 2 : 56 enodes (cost 4 ) 0.090 * * [simplify]: iteration 3 : 98 enodes (cost 4 ) 0.091 * * [simplify]: iteration 4 : 143 enodes (cost 4 ) 0.093 * * [simplify]: iteration 5 : 310 enodes (cost 4 ) 0.097 * * [simplify]: iteration 6 : 877 enodes (cost 4 ) 0.106 * * [simplify]: iteration 7 : 1781 enodes (cost 4 ) 0.134 * * [simplify]: iteration 8 : 4989 enodes (cost 4 ) 0.169 * * [simplify]: iteration 9 : 5001 enodes (cost 4 ) 0.169 * [simplify]: Simplified to: (* (cosh x) (/ (sin y) y)) 0.169 * * [progress]: iteration 1 / 4 0.169 * * * [progress]: picking best candidate 0.172 * * * * [pick]: Picked # 0.172 * * * [progress]: localizing error 0.182 * * * [progress]: generating rewritten candidates 0.182 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.186 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.194 * * * [progress]: generating series expansions 0.194 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.194 * [approximate]: Approximating (/ (sin y) y) in (y) around 0 0.204 * [approximate]: Approximating (* (sin (/ 1 y)) y) in (y) around 0 0.209 * [approximate]: Approximating (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.224 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.224 * [approximate]: Approximating (/ (* (sin y) (cosh x)) y) in (x y) around 0 0.231 * [taylor]: Taking taylor expansion of (/ (* (sin y) (cosh x)) y) in y 0.236 * [taylor]: Taking taylor expansion of (/ (* (sin y) (cosh x)) y) in y 0.244 * [taylor]: Taking taylor expansion of (/ (* (sin y) (cosh x)) y) in y 0.247 * [approximate]: Approximating (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in y 0.258 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in y 0.266 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in y 0.277 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in y 0.277 * [approximate]: Approximating (* -1 (* y (* (sin (/ -1 y)) (cosh (/ -1 x))))) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (* -1 (* y (* (sin (/ -1 y)) (cosh (/ -1 x))))) in y 0.286 * [taylor]: Taking taylor expansion of (* -1 (* y (* (sin (/ -1 y)) (cosh (/ -1 x))))) in y 0.294 * [taylor]: Taking taylor expansion of (* -1 (* y (* (sin (/ -1 y)) (cosh (/ -1 x))))) in y 0.306 * [taylor]: Taking taylor expansion of (* -1 (* y (* (sin (/ -1 y)) (cosh (/ -1 x))))) in y 0.306 * * * [progress]: simplifying candidates 0.307 * [simplify]: Simplifying using # : (- (log (sin y)) (log y)) (log (/ (sin y) y)) (exp (/ (sin y) y)) (/ (* (* (sin y) (sin y)) (sin y)) (* (* y y) y)) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)) (* (* (/ (sin y) y) (/ (sin y) y)) (/ (sin y) y)) (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)) (neg (sin y)) (neg y) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (cbrt (sin y)) (sqrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) 1) (/ (cbrt (sin y)) y) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) 1) (/ (sqrt (sin y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (/ 1 1) (/ (sin y) y) (/ 1 y) (/ y (sin y)) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (/ (sin y) 1) (/ y (cbrt (sin y))) (/ y (sqrt (sin y))) (/ y (sin y)) (* (cosh x) (/ (sin y) y)) (+ (log (cosh x)) (- (log (sin y)) (log y))) (+ (log (cosh x)) (log (/ (sin y) y))) (log (* (cosh x) (/ (sin y) y))) (exp (* (cosh x) (/ (sin y) y))) (* (* (* (cosh x) (cosh x)) (cosh x)) (/ (* (* (sin y) (sin y)) (sin y)) (* (* y y) y))) (* (* (* (cosh x) (cosh x)) (cosh x)) (* (* (/ (sin y) y) (/ (sin y) y)) (/ (sin y) y))) (* (cbrt (* (cosh x) (/ (sin y) y))) (cbrt (* (cosh x) (/ (sin y) y)))) (cbrt (* (cosh x) (/ (sin y) y))) (* (* (* (cosh x) (/ (sin y) y)) (* (cosh x) (/ (sin y) y))) (* (cosh x) (/ (sin y) y))) (sqrt (* (cosh x) (/ (sin y) y))) (sqrt (* (cosh x) (/ (sin y) y))) (* (+ (exp x) (exp (neg x))) (sin y)) (* 2 y) (* (sqrt (cosh x)) (sqrt (/ (sin y) y))) (* (sqrt (cosh x)) (sqrt (/ (sin y) y))) (* (sqrt (cosh x)) (/ (sqrt (sin y)) (sqrt y))) (* (sqrt (cosh x)) (/ (sqrt (sin y)) (sqrt y))) (* (cosh x) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (* (cosh x) (sqrt (/ (sin y) y))) (* (cosh x) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (* (cosh x) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y))) (* (cosh x) (/ (* (cbrt (sin y)) (cbrt (sin y))) 1)) (* (cosh x) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y)))) (* (cosh x) (/ (sqrt (sin y)) (sqrt y))) (* (cosh x) (/ (sqrt (sin y)) 1)) (* (cosh x) (/ 1 (* (cbrt y) (cbrt y)))) (* (cosh x) (/ 1 (sqrt y))) (* (cosh x) (/ 1 1)) (* (cosh x) 1) (* (cosh x) (sin y)) (* (cbrt (cosh x)) (/ (sin y) y)) (* (sqrt (cosh x)) (/ (sin y) y)) (* (cosh x) (/ (sin y) y)) (* (cosh x) (sin y)) (* (+ (exp x) (exp (neg x))) (/ (sin y) y)) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (- (+ (* 1/2 (pow x 2)) 1) (* 1/6 (pow y 2))) (/ (+ (* 1/2 (* (sin y) (exp x))) (* 1/2 (* (exp (neg x)) (sin y)))) y) (/ (+ (* 1/2 (* (sin y) (exp x))) (* 1/2 (* (exp (* -1 x)) (sin y)))) y) 0.311 * * [simplify]: iteration 0 : 264 enodes (cost 392 ) 0.316 * * [simplify]: iteration 1 : 1058 enodes (cost 349 ) 0.338 * * [simplify]: iteration 2 : 5002 enodes (cost 337 ) 0.340 * [simplify]: Simplified to: (log (/ (sin y) y)) (log (/ (sin y) y)) (exp (/ (sin y) y)) (pow (/ (sin y) y) 3) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (cbrt (/ (sin y) y)) (pow (/ (sin y) y) 3) (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)) (neg (sin y)) (neg y) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sin y)) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (cbrt (sin y)) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ (cbrt (sin y)) y) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (sqrt (sin y)) (/ (sqrt (sin y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) 1 (/ (sin y) y) (/ 1 y) (/ y (sin y)) (/ (sin y) (* (cbrt y) (cbrt y))) (/ (sin y) (sqrt y)) (sin y) (/ y (cbrt (sin y))) (/ y (sqrt (sin y))) (/ y (sin y)) (* (cosh x) (/ (sin y) y)) (log (* (cosh x) (/ (sin y) y))) (log (* (cosh x) (/ (sin y) y))) (log (* (cosh x) (/ (sin y) y))) (exp (* (cosh x) (/ (sin y) y))) (pow (* (cosh x) (/ (sin y) y)) 3) (pow (* (cosh x) (/ (sin y) y)) 3) (* (cbrt (* (cosh x) (/ (sin y) y))) (cbrt (* (cosh x) (/ (sin y) y)))) (cbrt (* (cosh x) (/ (sin y) y))) (pow (* (cosh x) (/ (sin y) y)) 3) (sqrt (* (cosh x) (/ (sin y) y))) (sqrt (* (cosh x) (/ (sin y) y))) (* (* (cosh x) (sin y)) 2) (* 2 y) (* (sqrt (cosh x)) (sqrt (/ (sin y) y))) (* (sqrt (cosh x)) (sqrt (/ (sin y) y))) (* (sqrt (cosh x)) (/ (sqrt (sin y)) (sqrt y))) (* (sqrt (cosh x)) (/ (sqrt (sin y)) (sqrt y))) (* (cosh x) (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))) (* (cosh x) (sqrt (/ (sin y) y))) (* (cosh x) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y)))) (* (cosh x) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y))) (* (* (cbrt (sin y)) (cbrt (sin y))) (cosh x)) (* (cosh x) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y)))) (* (cosh x) (/ (sqrt (sin y)) (sqrt y))) (* (sqrt (sin y)) (cosh x)) (/ (cosh x) (* (cbrt y) (cbrt y))) (/ (cosh x) (sqrt y)) (cosh x) (cosh x) (* (cosh x) (sin y)) (* (cbrt (cosh x)) (/ (sin y) y)) (* (sqrt (cosh x)) (/ (sin y) y)) (* (cosh x) (/ (sin y) y)) (* (cosh x) (sin y)) (* (/ (sin y) y) (* (cosh x) 2)) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (- (+ (* 1/2 (pow x 2)) 1) (* 1/6 (pow y 2))) (* (cosh x) (/ (sin y) y)) (* (cosh x) (/ (sin y) y)) 0.340 * * * [progress]: adding candidates to table 0.496 * * [progress]: iteration 2 / 4 0.496 * * * [progress]: picking best candidate 0.520 * * * * [pick]: Picked # 0.520 * * * [progress]: localizing error 0.527 * * * [progress]: generating rewritten candidates 0.527 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.533 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.536 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.559 * * * [progress]: generating series expansions 0.559 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.559 * [approximate]: Approximating (/ (sin y) y) in (y) around 0 0.569 * [approximate]: Approximating (* (sin (/ 1 y)) y) in (y) around 0 0.574 * [approximate]: Approximating (* -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.588 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.589 * [approximate]: Approximating (/ y (sin y)) in (y) around 0 0.598 * [approximate]: Approximating (/ 1 (* (sin (/ 1 y)) y)) in (y) around 0 0.605 * [approximate]: Approximating (/ -1 (* (sin (/ -1 y)) y)) in (y) around 0 0.612 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.612 * [approximate]: Approximating (/ (* (sin y) (cosh x)) y) in (x y) around 0 0.622 * [taylor]: Taking taylor expansion of (/ (* (sin y) (cosh x)) y) in y 0.628 * [taylor]: Taking taylor expansion of (/ (* (sin y) (cosh x)) y) in y 0.635 * [taylor]: Taking taylor expansion of (/ (* (sin y) (cosh x)) y) in y 0.638 * [approximate]: Approximating (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in (x y) around 0 0.642 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in y 0.646 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in y 0.654 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in y 0.665 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in y 0.665 * [approximate]: Approximating (* -1 (* y (* (sin (/ -1 y)) (cosh (/ -1 x))))) in (x y) around 0 0.669 * [taylor]: Taking taylor expansion of (* -1 (* y (* (sin (/ -1 y)) (cosh (/ -1 x))))) in y 0.674 * [taylor]: Taking taylor expansion of (* -1 (* y (* (sin (/ -1 y)) (cosh (/ -1 x))))) in y 0.682 * [taylor]: Taking taylor expansion of (* -1 (* y (* (sin (/ -1 y)) (cosh (/ -1 x))))) in y 0.697 * [taylor]: Taking taylor expansion of (* -1 (* y (* (sin (/ -1 y)) (cosh (/ -1 x))))) in y 0.697 * * * [progress]: simplifying candidates 0.699 * [simplify]: Simplifying using # : (neg 1) (neg (- (log y) (log (sin y)))) (neg (log (/ y (sin y)))) (- 0 (- (log y) (log (sin y)))) (- 0 (log (/ y (sin y)))) (- (log 1) (- (log y) (log (sin y)))) (- (log 1) (log (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (exp (/ 1 (/ y (sin y)))) (/ (* (* 1 1) 1) (/ (* (* y y) y) (* (* (sin y) (sin y)) (sin y)))) (/ (* (* 1 1) 1) (* (* (/ y (sin y)) (/ y (sin y))) (/ y (sin y)))) (* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y))))) (cbrt (/ 1 (/ y (sin y)))) (* (* (/ 1 (/ y (sin y))) (/ 1 (/ y (sin y)))) (/ 1 (/ y (sin y)))) (sqrt (/ 1 (/ y (sin y)))) (sqrt (/ 1 (/ y (sin y)))) (neg 1) (neg (/ y (sin y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (cbrt 1) (cbrt (/ y (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (sin y)))) (/ (cbrt 1) (sqrt (/ y (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt 1) (/ (cbrt y) (cbrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (cbrt 1) (/ (cbrt y) (sqrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt 1) (/ (cbrt y) (sin y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt 1) (/ (sqrt y) (cbrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (sqrt (sin y)))) (/ (cbrt 1) (/ (sqrt y) (sqrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) 1)) (/ (cbrt 1) (/ (sqrt y) (sin y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cbrt 1) (/ y (cbrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin y)))) (/ (cbrt 1) (/ y (sqrt (sin y)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ y (sin y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ y (sin y))) (/ (* (cbrt 1) (cbrt 1)) y) (/ (cbrt 1) (/ 1 (sin y))) (/ (sqrt 1) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (sqrt 1) (cbrt (/ y (sin y)))) (/ (sqrt 1) (sqrt (/ y (sin y)))) (/ (sqrt 1) (sqrt (/ y (sin y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt 1) (/ (cbrt y) (cbrt (sin y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (sqrt 1) (/ (cbrt y) (sqrt (sin y)))) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) 1)) (/ (sqrt 1) (/ (cbrt y) (sin y))) (/ (sqrt 1) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt 1) (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y)))) (/ (sqrt 1) (/ (sqrt y) 1)) (/ (sqrt 1) (/ (sqrt y) (sin y))) (/ (sqrt 1) (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ (sqrt 1) (/ y (cbrt (sin y)))) (/ (sqrt 1) (/ 1 (sqrt (sin y)))) (/ (sqrt 1) (/ y (sqrt (sin y)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ y (sin y))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ y (sin y))) (/ (sqrt 1) y) (/ (sqrt 1) (/ 1 (sin y))) (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ 1 (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ (cbrt y) (cbrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ 1 (/ (cbrt y) (sqrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) 1)) (/ 1 (/ (cbrt y) (sin y))) (/ 1 (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ (sqrt y) (cbrt (sin y)))) (/ 1 (/ (sqrt y) (sqrt (sin y)))) (/ 1 (/ (sqrt y) (sqrt (sin y)))) (/ 1 (/ (sqrt y) 1)) (/ 1 (/ (sqrt y) (sin y))) (/ 1 (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ y (cbrt (sin y)))) (/ 1 (/ 1 (sqrt (sin y)))) (/ 1 (/ y (sqrt (sin y)))) (/ 1 (/ 1 1)) (/ 1 (/ y (sin y))) (/ 1 1) (/ 1 (/ y (sin y))) (/ 1 y) (/ 1 (/ 1 (sin y))) (/ 1 (/ y (sin y))) (/ (/ y (sin y)) 1) (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ 1 (/ (* (cbrt y) (cbrt y)) 1)) (/ 1 (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ (sqrt y) (sqrt (sin y)))) (/ 1 (/ (sqrt y) 1)) (/ 1 (/ 1 (* (cbrt (sin y)) (cbrt (sin y))))) (/ 1 (/ 1 (sqrt (sin y)))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 y) (/ (/ y (sin y)) (cbrt 1)) (/ (/ y (sin y)) (sqrt 1)) (/ (/ y (sin y)) 1) (/ 1 y) (- (log y) (log (sin y))) (log (/ y (sin y))) (exp (/ y (sin y))) (/ (* (* y y) y) (* (* (sin y) (sin y)) (sin y))) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))) (* (* (/ y (sin y)) (/ y (sin y))) (/ y (sin y))) (sqrt (/ y (sin y))) (sqrt (/ y (sin y))) (neg y) (neg (sin y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt y) (cbrt (sin y))) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))) (/ (cbrt y) (sqrt (sin y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (sin y)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (sqrt y) (cbrt (sin y))) (/ (sqrt y) (sqrt (sin y))) (/ (sqrt y) (sqrt (sin y))) (/ (sqrt y) 1) (/ (sqrt y) (sin y)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (cbrt (sin y))) (/ 1 (sqrt (sin y))) (/ y (sqrt (sin y))) (/ 1 1) (/ y (sin y)) (/ 1 (sin y)) (/ (sin y) y) (/ y (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (sqrt (sin y))) (/ y 1) (/ (sin y) (cbrt y)) (/ (sin y) (sqrt y)) (/ (sin y) y) (* (cosh x) (/ 1 (/ y (sin y)))) (+ (log (cosh x)) (neg (- (log y) (log (sin y))))) (+ (log (cosh x)) (neg (log (/ y (sin y))))) (+ (log (cosh x)) (- 0 (- (log y) (log (sin y))))) (+ (log (cosh x)) (- 0 (log (/ y (sin y))))) (+ (log (cosh x)) (- (log 1) (- (log y) (log (sin y))))) (+ (log (cosh x)) (- (log 1) (log (/ y (sin y))))) (+ (log (cosh x)) (log (/ 1 (/ y (sin y))))) (log (* (cosh x) (/ 1 (/ y (sin y))))) (exp (* (cosh x) (/ 1 (/ y (sin y))))) (* (* (* (cosh x) (cosh x)) (cosh x)) (/ (* (* 1 1) 1) (/ (* (* y y) y) (* (* (sin y) (sin y)) (sin y))))) (* (* (* (cosh x) (cosh x)) (cosh x)) (/ (* (* 1 1) 1) (* (* (/ y (sin y)) (/ y (sin y))) (/ y (sin y))))) (* (* (* (cosh x) (cosh x)) (cosh x)) (* (* (/ 1 (/ y (sin y))) (/ 1 (/ y (sin y)))) (/ 1 (/ y (sin y))))) (* (cbrt (* (cosh x) (/ 1 (/ y (sin y))))) (cbrt (* (cosh x) (/ 1 (/ y (sin y)))))) (cbrt (* (cosh x) (/ 1 (/ y (sin y))))) (* (* (* (cosh x) (/ 1 (/ y (sin y)))) (* (cosh x) (/ 1 (/ y (sin y))))) (* (cosh x) (/ 1 (/ y (sin y))))) (sqrt (* (cosh x) (/ 1 (/ y (sin y))))) (sqrt (* (cosh x) (/ 1 (/ y (sin y))))) (* (+ (exp x) (exp (neg x))) 1) (* 2 (/ y (sin y))) (* (sqrt (cosh x)) (sqrt (/ 1 (/ y (sin y))))) (* (sqrt (cosh x)) (sqrt (/ 1 (/ y (sin y))))) (* (sqrt (cosh x)) (/ (sqrt 1) (sqrt (/ y (sin y))))) (* (sqrt (cosh x)) (/ (sqrt 1) (sqrt (/ y (sin y))))) (* (sqrt (cosh x)) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y))))) (* (sqrt (cosh x)) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y))))) (* (sqrt (cosh x)) (/ 1 (sqrt (/ y (sin y))))) (* (sqrt (cosh x)) (/ 1 (sqrt (/ y (sin y))))) (* (sqrt (cosh x)) (/ 1 (/ (sqrt y) (sqrt (sin y))))) (* (sqrt (cosh x)) (/ 1 (/ (sqrt y) (sqrt (sin y))))) (* (cosh x) (* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y)))))) (* (cosh x) (sqrt (/ 1 (/ y (sin y))))) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))))) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ y (sin y))))) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))))) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) 1))) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))))) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) (sqrt (sin y))))) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt y) 1))) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))))) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (sin y))))) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1))) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (cosh x) (/ (* (cbrt 1) (cbrt 1)) y)) (* (cosh x) (/ (sqrt 1) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))))) (* (cosh x) (/ (sqrt 1) (sqrt (/ y (sin y))))) (* (cosh x) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* (cosh x) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))))) (* (cosh x) (/ (sqrt 1) (/ (* (cbrt y) (cbrt y)) 1))) (* (cosh x) (/ (sqrt 1) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))))) (* (cosh x) (/ (sqrt 1) (/ (sqrt y) (sqrt (sin y))))) (* (cosh x) (/ (sqrt 1) (/ (sqrt y) 1))) (* (cosh x) (/ (sqrt 1) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))))) (* (cosh x) (/ (sqrt 1) (/ 1 (sqrt (sin y))))) (* (cosh x) (/ (sqrt 1) (/ 1 1))) (* (cosh x) (/ (sqrt 1) 1)) (* (cosh x) (/ (sqrt 1) y)) (* (cosh x) (/ 1 (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))))) (* (cosh x) (/ 1 (sqrt (/ y (sin y))))) (* (cosh x) (/ 1 (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))))) (* (cosh x) (/ 1 (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))))) (* (cosh x) (/ 1 (/ (* (cbrt y) (cbrt y)) 1))) (* (cosh x) (/ 1 (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))))) (* (cosh x) (/ 1 (/ (sqrt y) (sqrt (sin y))))) (* (cosh x) (/ 1 (/ (sqrt y) 1))) (* (cosh x) (/ 1 (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))))) (* (cosh x) (/ 1 (/ 1 (sqrt (sin y))))) (* (cosh x) (/ 1 (/ 1 1))) (* (cosh x) (/ 1 1)) (* (cosh x) (/ 1 y)) (* (cosh x) 1) (* (cosh x) 1) (* (cosh x) (/ 1 y)) (* (cbrt (cosh x)) (/ 1 (/ y (sin y)))) (* (sqrt (cosh x)) (/ 1 (/ y (sin y)))) (* (cosh x) (/ 1 (/ y (sin y)))) (* (cosh x) 1) (* (+ (exp x) (exp (neg x))) (/ 1 (/ y (sin y)))) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (+ (* 1/6 (pow y 2)) (+ (* 7/360 (pow y 4)) 1)) (/ y (sin y)) (/ y (sin y)) (- (+ (* 1/2 (pow x 2)) 1) (* 1/6 (pow y 2))) (/ (+ (* 1/2 (* (sin y) (exp x))) (* 1/2 (* (exp (neg x)) (sin y)))) y) (/ (+ (* 1/2 (* (sin y) (exp x))) (* 1/2 (* (exp (* -1 x)) (sin y)))) y) 0.707 * * [simplify]: iteration 0 : 617 enodes (cost 1319 ) 0.719 * * [simplify]: iteration 1 : 2986 enodes (cost 1147 ) 0.763 * * [simplify]: iteration 2 : 5001 enodes (cost 1024 ) 0.769 * [simplify]: Simplified to: -1 (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (log (/ 1 (/ y (sin y)))) (exp (/ 1 (/ y (sin y)))) (/ 1 (pow (/ y (sin y)) 3)) (/ 1 (pow (/ y (sin y)) 3)) (* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y))))) (cbrt (/ 1 (/ y (sin y)))) (/ 1 (pow (/ y (sin y)) 3)) (sqrt (/ 1 (/ y (sin y)))) (sqrt (/ 1 (/ y (sin y)))) -1 (neg (/ y (sin y))) (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (* 1 (cbrt (sin y))) (cbrt y)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ 1 (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ 1 (/ y (cbrt (sin y)))) (sqrt (sin y)) (/ (sqrt (sin y)) y) 1 (/ (sin y) y) 1 (/ (sin y) y) (/ 1 y) (sin y) (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (* 1 (cbrt (sin y))) (cbrt y)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ 1 (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ 1 (/ y (cbrt (sin y)))) (sqrt (sin y)) (/ (sqrt (sin y)) y) 1 (/ (sin y) y) 1 (/ (sin y) y) (/ 1 y) (sin y) (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (* 1 (cbrt (sin y))) (cbrt y)) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (cbrt y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (sin y) (cbrt y)) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ 1 (/ (sqrt y) (cbrt (sin y)))) (/ (sqrt (sin y)) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ 1 (sqrt y)) (/ (sin y) (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (/ 1 (/ y (cbrt (sin y)))) (sqrt (sin y)) (/ (sqrt (sin y)) y) 1 (/ (sin y) y) 1 (/ (sin y) y) (/ 1 y) (sin y) (/ (sin y) y) (/ y (sin y)) (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (sqrt (/ y (sin y)))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (* (cbrt y) (cbrt y))) (/ (sqrt (sin y)) (* (cbrt y) (cbrt y))) (/ 1 (* (cbrt y) (cbrt y))) (/ (* (cbrt (sin y)) (cbrt (sin y))) (sqrt y)) (/ (sqrt (sin y)) (sqrt y)) (/ 1 (sqrt y)) (* (cbrt (sin y)) (cbrt (sin y))) (sqrt (sin y)) 1 1 (/ 1 y) (/ y (sin y)) (/ y (sin y)) (/ y (sin y)) (/ 1 y) (log (/ y (sin y))) (log (/ y (sin y))) (exp (/ y (sin y))) (pow (/ y (sin y)) 3) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y)))) (cbrt (/ y (sin y))) (pow (/ y (sin y)) 3) (sqrt (/ y (sin y))) (sqrt (/ y (sin y))) (neg y) (neg (sin y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (cbrt y) (cbrt (sin y))) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y))) (/ (cbrt y) (sqrt (sin y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (sin y)) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y)))) (/ (sqrt y) (cbrt (sin y))) (/ (sqrt y) (sqrt (sin y))) (/ (sqrt y) (sqrt (sin y))) (sqrt y) (/ (sqrt y) (sin y)) (/ 1 (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (cbrt (sin y))) (/ 1 (sqrt (sin y))) (/ y (sqrt (sin y))) 1 (/ y (sin y)) (/ 1 (sin y)) (/ (sin y) y) (/ y (* (cbrt (sin y)) (cbrt (sin y)))) (/ y (sqrt (sin y))) y (/ (sin y) (cbrt y)) (/ (sin y) (sqrt y)) (/ (sin y) y) (/ (cosh x) (/ y (sin y))) (- (log (cosh x)) (log (/ y (sin y)))) (- (log (cosh x)) (log (/ y (sin y)))) (- (log (cosh x)) (log (/ y (sin y)))) (- (log (cosh x)) (log (/ y (sin y)))) (- (log (cosh x)) (log (/ y (sin y)))) (- (log (cosh x)) (log (/ y (sin y)))) (- (log (cosh x)) (log (/ y (sin y)))) (- (log (cosh x)) (log (/ y (sin y)))) (pow (exp (/ (cosh x) y)) (sin y)) (pow (/ (cosh x) (/ y (sin y))) 3) (pow (/ (cosh x) (/ y (sin y))) 3) (pow (/ (cosh x) (/ y (sin y))) 3) (* (cbrt (* (cosh x) (/ 1 (/ y (sin y))))) (cbrt (* (cosh x) (/ 1 (/ y (sin y)))))) (cbrt (* (cosh x) (/ 1 (/ y (sin y))))) (pow (/ (cosh x) (/ y (sin y))) 3) (sqrt (* (cosh x) (/ 1 (/ y (sin y))))) (sqrt (* (cosh x) (/ 1 (/ y (sin y))))) (* 2 (cosh x)) (* 2 (/ y (sin y))) (* (sqrt (cosh x)) (sqrt (/ 1 (/ y (sin y))))) (* (sqrt (cosh x)) (sqrt (/ 1 (/ y (sin y))))) (/ (* (sqrt (cosh x)) 1) (sqrt (/ y (sin y)))) (/ (* (sqrt (cosh x)) 1) (sqrt (/ y (sin y)))) (* (/ (sqrt (cosh x)) (sqrt y)) (sqrt (sin y))) (* (/ (sqrt (cosh x)) (sqrt y)) (sqrt (sin y))) (/ (* (sqrt (cosh x)) 1) (sqrt (/ y (sin y)))) (/ (* (sqrt (cosh x)) 1) (sqrt (/ y (sin y)))) (* (/ (sqrt (cosh x)) (sqrt y)) (sqrt (sin y))) (* (/ (sqrt (cosh x)) (sqrt y)) (sqrt (sin y))) (* (cosh x) (* (cbrt (/ 1 (/ y (sin y)))) (cbrt (/ 1 (/ y (sin y)))))) (* (cosh x) (sqrt (/ 1 (/ y (sin y))))) (/ (cosh x) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (cosh x) (sqrt (/ y (sin y)))) (/ (cosh x) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cosh x) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (cosh x) (* (cbrt y) (cbrt y))) (/ (cosh x) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cosh x) (/ (sqrt y) (sqrt (sin y)))) (/ (cosh x) (sqrt y)) (* (* (cbrt (sin y)) (cbrt (sin y))) (cosh x)) (* (sqrt (sin y)) (cosh x)) (cosh x) (cosh x) (/ (cosh x) y) (/ (cosh x) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (cosh x) (sqrt (/ y (sin y)))) (/ (cosh x) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cosh x) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (cosh x) (* (cbrt y) (cbrt y))) (/ (cosh x) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cosh x) (/ (sqrt y) (sqrt (sin y)))) (/ (cosh x) (sqrt y)) (* (* (cbrt (sin y)) (cbrt (sin y))) (cosh x)) (* (sqrt (sin y)) (cosh x)) (cosh x) (cosh x) (/ (cosh x) y) (/ (cosh x) (* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))) (/ (cosh x) (sqrt (/ y (sin y)))) (/ (cosh x) (/ (* (cbrt y) (cbrt y)) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cosh x) (/ (* (cbrt y) (cbrt y)) (sqrt (sin y)))) (/ (cosh x) (* (cbrt y) (cbrt y))) (/ (cosh x) (/ (sqrt y) (* (cbrt (sin y)) (cbrt (sin y))))) (/ (cosh x) (/ (sqrt y) (sqrt (sin y)))) (/ (cosh x) (sqrt y)) (* (* (cbrt (sin y)) (cbrt (sin y))) (cosh x)) (* (sqrt (sin y)) (cosh x)) (cosh x) (cosh x) (/ (cosh x) y) (cosh x) (cosh x) (/ (cosh x) y) (/ (cbrt (cosh x)) (/ y (sin y))) (/ (sqrt (cosh x)) (/ y (sin y))) (/ (cosh x) (/ y (sin y))) (cosh x) (/ (+ (exp x) (exp (neg x))) (/ y (sin y))) (- (+ (* 1/120 (pow y 4)) 1) (* 1/6 (pow y 2))) (/ (sin y) y) (/ (sin y) y) (+ (* 1/6 (pow y 2)) (+ (* 7/360 (pow y 4)) 1)) (/ y (sin y)) (/ y (sin y)) (- (+ (* 1/2 (pow x 2)) 1) (* 1/6 (pow y 2))) (/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (* -1 x)))))) (/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (* -1 x)))))) 0.770 * * * [progress]: adding candidates to table 1.396 * * [progress]: iteration 3 / 4 1.396 * * * [progress]: picking best candidate 1.414 * * * * [pick]: Picked # 1.414 * * * [progress]: localizing error 1.421 * * * [progress]: generating rewritten candidates 1.421 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.427 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.435 * * * [progress]: generating series expansions 1.435 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.435 * [approximate]: Approximating (/ (* (sin y) (cosh x)) y) in (x y) around 0 1.442 * [taylor]: Taking taylor expansion of (/ (* (sin y) (cosh x)) y) in y 1.448 * [taylor]: Taking taylor expansion of (/ (* (sin y) (cosh x)) y) in y 1.456 * [taylor]: Taking taylor expansion of (/ (* (sin y) (cosh x)) y) in y 1.459 * [approximate]: Approximating (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in (x y) around 0 1.463 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in y 1.467 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in y 1.475 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in y 1.486 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) (* (sin (/ 1 y)) y)) in y 1.486 * [approximate]: Approximating (* -1 (* (cosh (/ -1 x)) (* (sin (/ -1 y)) y))) in (x y) around 0 1.490 * [taylor]: Taking taylor expansion of (* -1 (* (cosh (/ -1 x)) (* (sin (/ -1 y)) y))) in y 1.495 * [taylor]: Taking taylor expansion of (* -1 (* (cosh (/ -1 x)) (* (sin (/ -1 y)) y))) in y 1.504 * [taylor]: Taking taylor expansion of (* -1 (* (cosh (/ -1 x)) (* (sin (/ -1 y)) y))) in y 1.518 * [taylor]: Taking taylor expansion of (* -1 (* (cosh (/ -1 x)) (* (sin (/ -1 y)) y))) in y 1.519 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.519 * [approximate]: Approximating (/ (cosh x) y) in (x y) around 0 1.522 * [taylor]: Taking taylor expansion of (/ (cosh x) y) in y 1.525 * [taylor]: Taking taylor expansion of (/ (cosh x) y) in y 1.529 * [taylor]: Taking taylor expansion of (/ (cosh x) y) in y 1.536 * [taylor]: Taking taylor expansion of (/ (cosh x) y) in y 1.545 * [taylor]: Taking taylor expansion of (/ (cosh x) y) in y 1.546 * [approximate]: Approximating (* (cosh (/ 1 x)) y) in (x y) around 0 1.549 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) y) in y 1.551 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) y) in y 1.556 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) y) in y 1.562 * [taylor]: Taking taylor expansion of (* (cosh (/ 1 x)) y) in y 1.563 * [approximate]: Approximating (* -1 (* y (cosh (/ -1 x)))) in (x y) around 0 1.566 * [taylor]: Taking taylor expansion of (* -1 (* y (cosh (/ -1 x)))) in y 1.568 * [taylor]: Taking taylor expansion of (* -1 (* y (cosh (/ -1 x)))) in y 1.573 * [taylor]: Taking taylor expansion of (* -1 (* y (cosh (/ -1 x)))) in y 1.583 * [taylor]: Taking taylor expansion of (* -1 (* y (cosh (/ -1 x)))) in y 1.584 * * * [progress]: simplifying candidates 1.585 * [simplify]: Simplifying using # : (* (/ (cosh x) y) (sin y)) (+ (- (log (cosh x)) (log y)) (log (sin y))) (+ (log (/ (cosh x) y)) (log (sin y))) (log (* (/ (cosh x) y) (sin y))) (exp (* (/ (cosh x) y) (sin y))) (* (/ (* (* (cosh x) (cosh x)) (cosh x)) (* (* y y) y)) (* (* (sin y) (sin y)) (sin y))) (* (* (* (/ (cosh x) y) (/ (cosh x) y)) (/ (cosh x) y)) (* (* (sin y) (sin y)) (sin y))) (* (cbrt (* (/ (cosh x) y) (sin y))) (cbrt (* (/ (cosh x) y) (sin y)))) (cbrt (* (/ (cosh x) y) (sin y))) (* (* (* (/ (cosh x) y) (sin y)) (* (/ (cosh x) y) (sin y))) (* (/ (cosh x) y) (sin y))) (sqrt (* (/ (cosh x) y) (sin y))) (sqrt (* (/ (cosh x) y) (sin y))) (* (sqrt (/ (cosh x) y)) (sqrt (sin y))) (* (sqrt (/ (cosh x) y)) (sqrt (sin y))) (* (/ (sqrt (cosh x)) (sqrt y)) (sqrt (sin y))) (* (/ (sqrt (cosh x)) (sqrt y)) (sqrt (sin y))) (* (/ (cosh x) y) (* (cbrt (sin y)) (cbrt (sin y)))) (* (/ (cosh x) y) (sqrt (sin y))) (* (/ (cosh x) y) 1) (* (cbrt (/ (cosh x) y)) (sin y)) (* (sqrt (/ (cosh x) y)) (sin y)) (* (/ (cbrt (cosh x)) (cbrt y)) (sin y)) (* (/ (cbrt (cosh x)) (sqrt y)) (sin y)) (* (/ (cbrt (cosh x)) y) (sin y)) (* (/ (sqrt (cosh x)) (cbrt y)) (sin y)) (* (/ (sqrt (cosh x)) (sqrt y)) (sin y)) (* (/ (sqrt (cosh x)) y) (sin y)) (* (/ (cosh x) (cbrt y)) (sin y)) (* (/ (cosh x) (sqrt y)) (sin y)) (* (/ (cosh x) y) (sin y)) (* (/ (cosh x) y) (sin y)) (* (/ 1 y) (sin y)) (* (cosh x) (sin y)) (- (log (cosh x)) (log y)) (log (/ (cosh x) y)) (exp (/ (cosh x) y)) (/ (* (* (cosh x) (cosh x)) (cosh x)) (* (* y y) y)) (* (cbrt (/ (cosh x) y)) (cbrt (/ (cosh x) y))) (cbrt (/ (cosh x) y)) (* (* (/ (cosh x) y) (/ (cosh x) y)) (/ (cosh x) y)) (sqrt (/ (cosh x) y)) (sqrt (/ (cosh x) y)) (neg (cosh x)) (neg y) (/ (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt y) (cbrt y))) (/ (cbrt (cosh x)) (cbrt y)) (/ (* (cbrt (cosh x)) (cbrt (cosh x))) (sqrt y)) (/ (cbrt (cosh x)) (sqrt y)) (/ (* (cbrt (cosh x)) (cbrt (cosh x))) 1) (/ (cbrt (cosh x)) y) (/ (sqrt (cosh x)) (* (cbrt y) (cbrt y))) (/ (sqrt (cosh x)) (cbrt y)) (/ (sqrt (cosh x)) (sqrt y)) (/ (sqrt (cosh x)) (sqrt y)) (/ (sqrt (cosh x)) 1) (/ (sqrt (cosh x)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (cosh x) (cbrt y)) (/ 1 (sqrt y)) (/ (cosh x) (sqrt y)) (/ 1 1) (/ (cosh x) y) (/ 1 y) (/ y (cosh x)) (/ (cosh x) (* (cbrt y) (cbrt y))) (/ (cosh x) (sqrt y)) (/ (cosh x) 1) (/ y (cbrt (cosh x))) (/ y (sqrt (cosh x))) (/ y (cosh x)) (* y 2) (- (+ (* 1/2 (pow x 2)) 1) (* 1/6 (pow y 2))) (/ (+ (* 1/2 (* (sin y) (exp x))) (* 1/2 (* (exp (neg x)) (sin y)))) y) (/ (+ (* 1/2 (* (sin y) (exp x))) (* 1/2 (* (exp (* -1 x)) (sin y)))) y) (+ (* 1/24 (/ (pow x 4) y)) (+ (/ 1 y) (* 1/2 (/ (pow x 2) y)))) (/ (+ (* 1/2 (exp (neg x))) (* 1/2 (exp x))) y) (/ (+ (* 1/2 (exp (* -1 x))) (* 1/2 (exp x))) y) 1.589 * * [simplify]: iteration 0 : 283 enodes (cost 386 ) 1.594 * * [simplify]: iteration 1 : 969 enodes (cost 341 ) 1.612 * * [simplify]: iteration 2 : 5001 enodes (cost 324 ) 1.615 * [simplify]: Simplified to: (* (/ (cosh x) y) (sin y)) (log (* (/ (cosh x) y) (sin y))) (log (* (/ (cosh x) y) (sin y))) (log (* (/ (cosh x) y) (sin y))) (exp (* (/ (cosh x) y) (sin y))) (pow (* (/ (cosh x) y) (sin y)) 3) (pow (* (/ (cosh x) y) (sin y)) 3) (* (cbrt (* (/ (cosh x) y) (sin y))) (cbrt (* (/ (cosh x) y) (sin y)))) (cbrt (* (/ (cosh x) y) (sin y))) (pow (* (/ (cosh x) y) (sin y)) 3) (sqrt (* (/ (cosh x) y) (sin y))) (sqrt (* (/ (cosh x) y) (sin y))) (* (sqrt (/ (cosh x) y)) (sqrt (sin y))) (* (sqrt (/ (cosh x) y)) (sqrt (sin y))) (* (/ (sqrt (cosh x)) (sqrt y)) (sqrt (sin y))) (* (/ (sqrt (cosh x)) (sqrt y)) (sqrt (sin y))) (* (/ (cosh x) y) (* (cbrt (sin y)) (cbrt (sin y)))) (* (/ (cosh x) y) (sqrt (sin y))) (/ (cosh x) y) (* (cbrt (/ (cosh x) y)) (sin y)) (* (sqrt (/ (cosh x) y)) (sin y)) (* (/ (cbrt (cosh x)) (cbrt y)) (sin y)) (* (/ (cbrt (cosh x)) (sqrt y)) (sin y)) (* (/ (cbrt (cosh x)) y) (sin y)) (* (/ (sqrt (cosh x)) (cbrt y)) (sin y)) (* (/ (sqrt (cosh x)) (sqrt y)) (sin y)) (* (/ (sqrt (cosh x)) y) (sin y)) (* (/ (cosh x) (cbrt y)) (sin y)) (* (/ (cosh x) (sqrt y)) (sin y)) (* (/ (cosh x) y) (sin y)) (* (/ (cosh x) y) (sin y)) (/ (sin y) y) (* (cosh x) (sin y)) (log (/ (cosh x) y)) (log (/ (cosh x) y)) (exp (/ (cosh x) y)) (pow (/ (cosh x) y) 3) (* (cbrt (/ (cosh x) y)) (cbrt (/ (cosh x) y))) (cbrt (/ (cosh x) y)) (pow (/ (cosh x) y) 3) (sqrt (/ (cosh x) y)) (sqrt (/ (cosh x) y)) (neg (cosh x)) (neg y) (/ (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt y) (cbrt y))) (/ (cbrt (cosh x)) (cbrt y)) (/ (* (cbrt (cosh x)) (cbrt (cosh x))) (sqrt y)) (/ (cbrt (cosh x)) (sqrt y)) (* (cbrt (cosh x)) (cbrt (cosh x))) (/ (cbrt (cosh x)) y) (/ (sqrt (cosh x)) (* (cbrt y) (cbrt y))) (/ (sqrt (cosh x)) (cbrt y)) (/ (sqrt (cosh x)) (sqrt y)) (/ (sqrt (cosh x)) (sqrt y)) (sqrt (cosh x)) (/ (sqrt (cosh x)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (cosh x) (cbrt y)) (/ 1 (sqrt y)) (/ (cosh x) (sqrt y)) 1 (/ (cosh x) y) (/ 1 y) (/ y (cosh x)) (/ (cosh x) (* (cbrt y) (cbrt y))) (/ (cosh x) (sqrt y)) (cosh x) (/ y (cbrt (cosh x))) (/ y (sqrt (cosh x))) (/ y (cosh x)) (* y 2) (- (+ (* 1/2 (pow x 2)) 1) (* 1/6 (pow y 2))) (* (/ (cosh x) y) (sin y)) (* (/ (cosh x) y) (sin y)) (+ (* 1/24 (/ (pow x 4) y)) (+ (/ 1 y) (* 1/2 (/ (pow x 2) y)))) (/ (cosh x) y) (/ (cosh x) y) 1.615 * * * [progress]: adding candidates to table 1.765 * * [progress]: iteration 4 / 4 1.765 * * * [progress]: picking best candidate 1.779 * * * * [pick]: Picked # 1.779 * * * [progress]: localizing error 1.791 * * * [progress]: generating rewritten candidates 1.791 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 1.792 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 1.793 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 1.794 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.801 * * * [progress]: generating series expansions 1.801 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 1.801 * [approximate]: Approximating (pow y 1/3) in (y) around 0 1.859 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 1.919 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 1.996 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 1.996 * [approximate]: Approximating (pow y 1/3) in (y) around 0 2.055 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 2.117 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 2.197 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 2.197 * [approximate]: Approximating (pow y 1/3) in (y) around 0 2.258 * [approximate]: Approximating (pow (/ 1 y) 1/3) in (y) around 0 2.322 * [approximate]: Approximating (* (cbrt -1) (pow (/ 1 y) 1/3)) in (y) around 0 2.399 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 2.399 * [approximate]: Approximating (pow (pow y 2) 1/3) in (y) around 0 2.459 * [approximate]: Approximating (pow (/ 1 (pow y 2)) 1/3) in (y) around 0 2.527 * [approximate]: Approximating (* (pow (cbrt -1) 2) (pow (/ 1 (pow y 2)) 1/3)) in (y) around 0 2.625 * * * [progress]: simplifying candidates 2.626 * [simplify]: Simplifying using # : (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) (cbrt 1) (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) (* (* (cbrt y) (cbrt y)) (cbrt y)) (sqrt (cbrt y)) (sqrt (cbrt y)) (+ 1/3 1/3) (+ 1 1) (* y y) (* (cbrt y) (cbrt y)) (+ 1 1) (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt y) (cbrt y))) (exp (* (cbrt y) (cbrt y))) (* y y) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt 1) (cbrt 1)) (* (cbrt y) (cbrt y)) (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 1 1) (* (cbrt y) (cbrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (cbrt (sqrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* (sqrt (cbrt y)) (sqrt (cbrt y))) (* 2 1/3) (* 2 1) (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (* (cbrt y) (cbrt 1)) (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (* (cbrt y) (sqrt (cbrt y))) (* (cbrt y) 1) (* (cbrt (cbrt y)) (cbrt y)) (* (cbrt (sqrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt (cbrt y)) (cbrt y)) (* (sqrt (cbrt y)) (cbrt y)) (* (cbrt y) (cbrt y)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 2.629 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 2.632 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 2.646 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 2.711 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 2.713 * [simplify]: Simplified to: (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) (log (cbrt y)) (exp (cbrt y)) (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y)) (cbrt (sqrt y)) (cbrt (sqrt y)) 1 (pow y 1/3) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y)) y (sqrt (cbrt y)) (sqrt (cbrt y)) 2/3 2 (pow y 2) (pow y 2/3) 2 (* 2/3 (log y)) (* 2/3 (log y)) (exp (pow y 2/3)) (pow y 2) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (cbrt (* (cbrt y) (cbrt y))) (pow y 2) (fabs (pow y 1/3)) (fabs (pow y 1/3)) (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) 1 (pow y 2/3) (pow (cbrt (cbrt y)) 4) (* (cbrt (cbrt y)) (cbrt (cbrt y))) (pow y 1/3) (pow y 1/3) 1 (pow y 2/3) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (* (cbrt (sqrt y)) (sqrt (cbrt y))) (pow y 1/3) (pow y 1/3) 2/3 2 (* (cbrt y) (cbrt (* (cbrt y) (cbrt y)))) (* (cbrt y) (cbrt (sqrt y))) (pow y 1/3) (pow (cbrt (cbrt y)) 5) (pow (sqrt (cbrt y)) 3) (pow y 1/3) (pow (cbrt (cbrt y)) 4) (* (cbrt y) (cbrt (sqrt y))) (pow y 2/3) (pow (cbrt (cbrt y)) 4) (pow (sqrt (cbrt y)) 3) (pow y 2/3) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 1/3) (pow (/ 1 y) -1/3) (* (pow (* -1 y) 1/3) (cbrt -1)) (pow y 2/3) (pow (/ 1 y) -2/3) (* (pow (cbrt -1) 2) (pow (pow y 2) 1/3)) 2.713 * * * [progress]: adding candidates to table 3.114 * [progress]: [Phase 3 of 3] Extracting. 3.114 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.115 * * * [regime-changes]: Trying 5 branch expressions: ((/ (sin y) y) (cosh x) (* (cosh x) (/ (sin y) y)) y x) 3.115 * * * * [regimes]: Trying to branch on (/ (sin y) y) from (# # # # # # #) 3.169 * * * * [regimes]: Trying to branch on (cosh x) from (# # # # # # #) 3.218 * * * * [regimes]: Trying to branch on (* (cosh x) (/ (sin y) y)) from (# # # # # # #) 3.276 * * * * [regimes]: Trying to branch on y from (# # # # # # #) 3.329 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.383 * * * [regime]: Found split indices: #