26.071 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.067 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.071 * [simplify]: Simplifying using # : (/ (* (sin x) (sinh y)) x) 0.073 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.074 * * [simplify]: iteration 1 : 32 enodes (cost 4 ) 0.075 * * [simplify]: iteration 2 : 68 enodes (cost 4 ) 0.077 * * [simplify]: iteration 3 : 144 enodes (cost 4 ) 0.079 * * [simplify]: iteration 4 : 278 enodes (cost 4 ) 0.082 * * [simplify]: iteration 5 : 531 enodes (cost 4 ) 0.090 * * [simplify]: iteration 6 : 1543 enodes (cost 4 ) 0.115 * * [simplify]: iteration 7 : 4958 enodes (cost 4 ) 0.146 * * [simplify]: iteration 8 : 5001 enodes (cost 4 ) 0.146 * [simplify]: Simplified to: (/ (* (sin x) (sinh y)) x) 0.146 * * [progress]: iteration 1 / 4 0.146 * * * [progress]: picking best candidate 0.149 * * * * [pick]: Picked # 0.149 * * * [progress]: localizing error 0.155 * * * [progress]: generating rewritten candidates 0.155 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.160 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.165 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.167 * * * [progress]: generating series expansions 0.167 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.167 * [approximate]: Approximating (/ (* (sin x) (sinh y)) x) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 0.190 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 0.203 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 0.213 * [approximate]: Approximating (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in (x y) around 0 0.216 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 0.223 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 0.231 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 0.244 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 0.244 * [approximate]: Approximating (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in (x y) around 0 0.248 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 0.252 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 0.260 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 0.274 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 0.274 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.274 * [approximate]: Approximating (* (sin x) (sinh y)) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in y 0.283 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in y 0.293 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in y 0.308 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in y 0.319 * [approximate]: Approximating (* (sinh (/ 1 y)) (sin (/ 1 x))) in (x y) around 0 0.322 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (sin (/ 1 x))) in y 0.327 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (sin (/ 1 x))) in y 0.335 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (sin (/ 1 x))) in y 0.346 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (sin (/ 1 x))) in y 0.347 * [approximate]: Approximating (* (sinh (/ -1 y)) (sin (/ -1 x))) in (x y) around 0 0.350 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (sin (/ -1 x))) in y 0.355 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (sin (/ -1 x))) in y 0.363 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (sin (/ -1 x))) in y 0.378 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (sin (/ -1 x))) in y 0.378 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.378 * [approximate]: Approximating (sinh y) in (y) around 0 0.416 * [approximate]: Approximating (sinh (/ 1 y)) in (y) around 0 0.434 * [approximate]: Approximating (sinh (/ -1 y)) in (y) around 0 0.455 * * * [progress]: simplifying candidates 0.456 * [simplify]: Simplifying using # : (- (+ (log (sin x)) (log (sinh y))) (log x)) (- (log (* (sin x) (sinh y))) (log x)) (log (/ (* (sin x) (sinh y)) x)) (exp (/ (* (sin x) (sinh y)) x)) (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sinh y) (sinh y)) (sinh y))) (* (* x x) x)) (/ (* (* (* (sin x) (sinh y)) (* (sin x) (sinh y))) (* (sin x) (sinh y))) (* (* x x) x)) (* (cbrt (/ (* (sin x) (sinh y)) x)) (cbrt (/ (* (sin x) (sinh y)) x))) (cbrt (/ (* (sin x) (sinh y)) x)) (* (* (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (sinh y)) x)) (/ (* (sin x) (sinh y)) x)) (sqrt (/ (* (sin x) (sinh y)) x)) (sqrt (/ (* (sin x) (sinh y)) x)) (neg (* (sin x) (sinh y))) (neg x) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sinh y) (cbrt x)) (/ (sin x) (sqrt x)) (/ (sinh y) (sqrt x)) (/ (sin x) 1) (/ (sinh y) x) (/ 1 x) (/ x (* (sin x) (sinh y))) (/ (* (sin x) (sinh y)) (* (cbrt x) (cbrt x))) (/ (* (sin x) (sinh y)) (sqrt x)) (/ (* (sin x) (sinh y)) 1) (/ x (sinh y)) (* x 2) (* (sin x) (sinh y)) (+ (log (sin x)) (log (sinh y))) (log (* (sin x) (sinh y))) (exp (* (sin x) (sinh y))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (sinh y) (sinh y)) (sinh y))) (* (cbrt (* (sin x) (sinh y))) (cbrt (* (sin x) (sinh y)))) (cbrt (* (sin x) (sinh y))) (* (* (* (sin x) (sinh y)) (* (sin x) (sinh y))) (* (sin x) (sinh y))) (sqrt (* (sin x) (sinh y))) (sqrt (* (sin x) (sinh y))) (* (sqrt (sin x)) (sqrt (sinh y))) (* (sqrt (sin x)) (sqrt (sinh y))) (* (sin x) (* (cbrt (sinh y)) (cbrt (sinh y)))) (* (sin x) (sqrt (sinh y))) (* (sin x) 1) (* (cbrt (sin x)) (sinh y)) (* (sqrt (sin x)) (sinh y)) (* (sin x) (sinh y)) (* (sin x) (- (exp y) (exp (neg y)))) (- (exp y) (exp (neg y))) (log (sinh y)) (exp (sinh y)) (* (cbrt (sinh y)) (cbrt (sinh y))) (cbrt (sinh y)) (* (* (sinh y) (sinh y)) (sinh y)) (sqrt (sinh y)) (sqrt (sinh y)) (- (+ (* 1/6 (pow y 3)) y) (* 1/6 (* (pow x 2) y))) (/ (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (exp (neg y)) (sin x)))) x) (* -1 (/ (- (* 1/2 (* (sin x) (exp (* -1 y)))) (* 1/2 (* (sin x) (exp y)))) x)) (- (+ (* x y) (* 1/6 (* x (pow y 3)))) (* 1/6 (* (pow x 3) y))) (* 1/2 (* (- (exp y) (exp (neg y))) (sin x))) (* 1/2 (* (- (exp y) (exp (* -1 y))) (sin x))) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) (* 1/2 (- (exp y) (exp (neg y)))) (* 1/2 (- (exp y) (exp (* -1 y)))) 0.459 * * [simplify]: iteration 0 : 280 enodes (cost 320 ) 0.465 * * [simplify]: iteration 1 : 1233 enodes (cost 272 ) 0.491 * * [simplify]: iteration 2 : 5001 enodes (cost 255 ) 0.493 * [simplify]: Simplified to: (log (/ (* (sin x) (sinh y)) x)) (log (/ (* (sin x) (sinh y)) x)) (log (/ (* (sin x) (sinh y)) x)) (exp (/ (* (sin x) (sinh y)) x)) (pow (/ (* (sin x) (sinh y)) x) 3) (pow (/ (* (sin x) (sinh y)) x) 3) (* (cbrt (/ (* (sin x) (sinh y)) x)) (cbrt (/ (* (sin x) (sinh y)) x))) (cbrt (/ (* (sin x) (sinh y)) x)) (pow (/ (* (sin x) (sinh y)) x) 3) (sqrt (/ (* (sin x) (sinh y)) x)) (sqrt (/ (* (sin x) (sinh y)) x)) (neg (* (sin x) (sinh y))) (neg x) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sinh y) (cbrt x)) (/ (sin x) (sqrt x)) (/ (sinh y) (sqrt x)) (sin x) (/ (sinh y) x) (/ 1 x) (/ x (* (sin x) (sinh y))) (/ (* (sin x) (sinh y)) (* (cbrt x) (cbrt x))) (/ (* (sin x) (sinh y)) (sqrt x)) (* (sin x) (sinh y)) (/ x (sinh y)) (* x 2) (* (sin x) (sinh y)) (log (* (sin x) (sinh y))) (log (* (sin x) (sinh y))) (exp (* (sin x) (sinh y))) (pow (* (sin x) (sinh y)) 3) (* (cbrt (* (sin x) (sinh y))) (cbrt (* (sin x) (sinh y)))) (cbrt (* (sin x) (sinh y))) (pow (* (sin x) (sinh y)) 3) (sqrt (* (sin x) (sinh y))) (sqrt (* (sin x) (sinh y))) (* (sqrt (sin x)) (sqrt (sinh y))) (* (sqrt (sin x)) (sqrt (sinh y))) (* (sin x) (* (cbrt (sinh y)) (cbrt (sinh y)))) (* (sin x) (sqrt (sinh y))) (sin x) (* (cbrt (sin x)) (sinh y)) (* (sqrt (sin x)) (sinh y)) (* (sin x) (sinh y)) (* (- (exp y) (exp (* -1 y))) (sin x)) (- (exp y) (exp (* -1 y))) (log (sinh y)) (exp (sinh y)) (* (cbrt (sinh y)) (cbrt (sinh y))) (cbrt (sinh y)) (pow (sinh y) 3) (sqrt (sinh y)) (sqrt (sinh y)) (- (+ (* 1/6 (pow y 3)) y) (* 1/6 (* (pow x 2) y))) (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (sinh y)) x) (+ (* 1/6 (- (* x (pow y 3)) (* (pow x 3) y))) (* x y)) (* (sin x) (sinh y)) (* (sin x) (sinh y)) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) (* 1/2 (- (exp y) (exp (* -1 y)))) (* 1/2 (- (exp y) (exp (* -1 y)))) 0.493 * * * [progress]: adding candidates to table 0.642 * * [progress]: iteration 2 / 4 0.642 * * * [progress]: picking best candidate 0.655 * * * * [pick]: Picked # 0.655 * * * [progress]: localizing error 0.662 * * * [progress]: generating rewritten candidates 0.662 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.669 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.672 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.675 * * * [progress]: generating series expansions 0.675 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.675 * [approximate]: Approximating (/ (* (sin x) (sinh y)) x) in (x y) around 0 0.690 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 0.701 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 0.714 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 0.725 * [approximate]: Approximating (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in (x y) around 0 0.728 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 0.731 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 0.739 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 0.752 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 0.753 * [approximate]: Approximating (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in (x y) around 0 0.756 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 0.763 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 0.771 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 0.785 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 0.785 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.785 * [approximate]: Approximating (/ (sinh y) x) in (y x) around 0 0.794 * [taylor]: Taking taylor expansion of (/ (sinh y) x) in x 0.800 * [taylor]: Taking taylor expansion of (/ (sinh y) x) in x 0.811 * [taylor]: Taking taylor expansion of (/ (sinh y) x) in x 0.827 * [taylor]: Taking taylor expansion of (/ (sinh y) x) in x 0.842 * [taylor]: Taking taylor expansion of (/ (sinh y) x) in x 0.843 * [approximate]: Approximating (* (sinh (/ 1 y)) x) in (y x) around 0 0.846 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) x) in x 0.849 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) x) in x 0.857 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) x) in x 0.864 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) x) in x 0.864 * [approximate]: Approximating (* -1 (* (sinh (/ -1 y)) x)) in (y x) around 0 0.868 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) x)) in x 0.870 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) x)) in x 0.876 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) x)) in x 0.884 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) x)) in x 0.885 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.885 * [approximate]: Approximating (sinh y) in (y) around 0 0.922 * [approximate]: Approximating (sinh (/ 1 y)) in (y) around 0 0.942 * [approximate]: Approximating (sinh (/ -1 y)) in (y) around 0 0.959 * * * [progress]: simplifying candidates 0.960 * [simplify]: Simplifying using # : (* (sin x) (/ (sinh y) x)) (+ (log (sin x)) (- (log (sinh y)) (log x))) (+ (log (sin x)) (log (/ (sinh y) x))) (log (* (sin x) (/ (sinh y) x))) (exp (* (sin x) (/ (sinh y) x))) (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* (sinh y) (sinh y)) (sinh y)) (* (* x x) x))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ (sinh y) x) (/ (sinh y) x)) (/ (sinh y) x))) (* (cbrt (* (sin x) (/ (sinh y) x))) (cbrt (* (sin x) (/ (sinh y) x)))) (cbrt (* (sin x) (/ (sinh y) x))) (* (* (* (sin x) (/ (sinh y) x)) (* (sin x) (/ (sinh y) x))) (* (sin x) (/ (sinh y) x))) (sqrt (* (sin x) (/ (sinh y) x))) (sqrt (* (sin x) (/ (sinh y) x))) (* (sqrt (sin x)) (sqrt (/ (sinh y) x))) (* (sqrt (sin x)) (sqrt (/ (sinh y) x))) (* (sqrt (sin x)) (/ (sqrt (sinh y)) (sqrt x))) (* (sqrt (sin x)) (/ (sqrt (sinh y)) (sqrt x))) (* (sin x) (* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))) (* (sin x) (sqrt (/ (sinh y) x))) (* (sin x) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt x) (cbrt x)))) (* (sin x) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt x))) (* (sin x) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) 1)) (* (sin x) (/ (sqrt (sinh y)) (* (cbrt x) (cbrt x)))) (* (sin x) (/ (sqrt (sinh y)) (sqrt x))) (* (sin x) (/ (sqrt (sinh y)) 1)) (* (sin x) (/ 1 (* (cbrt x) (cbrt x)))) (* (sin x) (/ 1 (sqrt x))) (* (sin x) (/ 1 1)) (* (sin x) 1) (* (sin x) (sinh y)) (* (cbrt (sin x)) (/ (sinh y) x)) (* (sqrt (sin x)) (/ (sinh y) x)) (* (sin x) (/ (sinh y) x)) (* (sin x) (sinh y)) (- (log (sinh y)) (log x)) (log (/ (sinh y) x)) (exp (/ (sinh y) x)) (/ (* (* (sinh y) (sinh y)) (sinh y)) (* (* x x) x)) (* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x))) (cbrt (/ (sinh y) x)) (* (* (/ (sinh y) x) (/ (sinh y) x)) (/ (sinh y) x)) (sqrt (/ (sinh y) x)) (sqrt (/ (sinh y) x)) (neg (sinh y)) (neg x) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt x) (cbrt x))) (/ (cbrt (sinh y)) (cbrt x)) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt x)) (/ (cbrt (sinh y)) (sqrt x)) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) 1) (/ (cbrt (sinh y)) x) (/ (sqrt (sinh y)) (* (cbrt x) (cbrt x))) (/ (sqrt (sinh y)) (cbrt x)) (/ (sqrt (sinh y)) (sqrt x)) (/ (sqrt (sinh y)) (sqrt x)) (/ (sqrt (sinh y)) 1) (/ (sqrt (sinh y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sinh y) (cbrt x)) (/ 1 (sqrt x)) (/ (sinh y) (sqrt x)) (/ 1 1) (/ (sinh y) x) (/ 1 x) (/ x (sinh y)) (/ (sinh y) (* (cbrt x) (cbrt x))) (/ (sinh y) (sqrt x)) (/ (sinh y) 1) (/ x (cbrt (sinh y))) (/ x (sqrt (sinh y))) (/ x (sinh y)) (* x 2) (- (exp y) (exp (neg y))) (log (sinh y)) (exp (sinh y)) (* (cbrt (sinh y)) (cbrt (sinh y))) (cbrt (sinh y)) (* (* (sinh y) (sinh y)) (sinh y)) (sqrt (sinh y)) (sqrt (sinh y)) (- (+ (* 1/6 (pow y 3)) y) (* 1/6 (* (pow x 2) y))) (/ (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (exp (neg y)) (sin x)))) x) (* -1 (/ (- (* 1/2 (* (sin x) (exp (* -1 y)))) (* 1/2 (* (sin x) (exp y)))) x)) (+ (* 1/120 (/ (pow y 5) x)) (+ (/ y x) (* 1/6 (/ (pow y 3) x)))) (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) x) (* -1 (/ (- (* 1/2 (exp (* -1 y))) (* 1/2 (exp y))) x)) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) (* 1/2 (- (exp y) (exp (neg y)))) (* 1/2 (- (exp y) (exp (* -1 y)))) 0.964 * * [simplify]: iteration 0 : 328 enodes (cost 433 ) 0.970 * * [simplify]: iteration 1 : 1261 enodes (cost 387 ) 0.996 * * [simplify]: iteration 2 : 5001 enodes (cost 385 ) 0.998 * [simplify]: Simplified to: (* (sin x) (/ (sinh y) x)) (log (* (sin x) (/ (sinh y) x))) (log (* (sin x) (/ (sinh y) x))) (log (* (sin x) (/ (sinh y) x))) (exp (* (sin x) (/ (sinh y) x))) (pow (* (sin x) (/ (sinh y) x)) 3) (pow (* (sin x) (/ (sinh y) x)) 3) (* (cbrt (* (sin x) (/ (sinh y) x))) (cbrt (* (sin x) (/ (sinh y) x)))) (cbrt (* (sin x) (/ (sinh y) x))) (pow (* (sin x) (/ (sinh y) x)) 3) (sqrt (* (sin x) (/ (sinh y) x))) (sqrt (* (sin x) (/ (sinh y) x))) (* (sqrt (sin x)) (sqrt (/ (sinh y) x))) (* (sqrt (sin x)) (sqrt (/ (sinh y) x))) (* (sqrt (sin x)) (/ (sqrt (sinh y)) (sqrt x))) (* (sqrt (sin x)) (/ (sqrt (sinh y)) (sqrt x))) (* (sin x) (* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))) (* (sin x) (sqrt (/ (sinh y) x))) (* (sin x) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt x) (cbrt x)))) (* (sin x) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt x))) (* (* (cbrt (sinh y)) (cbrt (sinh y))) (sin x)) (* (sin x) (/ (sqrt (sinh y)) (* (cbrt x) (cbrt x)))) (* (sin x) (/ (sqrt (sinh y)) (sqrt x))) (* (sqrt (sinh y)) (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (sin x) (* (sin x) (sinh y)) (* (cbrt (sin x)) (/ (sinh y) x)) (* (sqrt (sin x)) (/ (sinh y) x)) (* (sin x) (/ (sinh y) x)) (* (sin x) (sinh y)) (log (/ (sinh y) x)) (log (/ (sinh y) x)) (exp (/ (sinh y) x)) (pow (/ (sinh y) x) 3) (* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x))) (cbrt (/ (sinh y) x)) (pow (/ (sinh y) x) 3) (sqrt (/ (sinh y) x)) (sqrt (/ (sinh y) x)) (neg (sinh y)) (neg x) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt x) (cbrt x))) (/ (cbrt (sinh y)) (cbrt x)) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt x)) (/ (cbrt (sinh y)) (sqrt x)) (* (cbrt (sinh y)) (cbrt (sinh y))) (/ (cbrt (sinh y)) x) (/ (sqrt (sinh y)) (* (cbrt x) (cbrt x))) (/ (sqrt (sinh y)) (cbrt x)) (/ (sqrt (sinh y)) (sqrt x)) (/ (sqrt (sinh y)) (sqrt x)) (sqrt (sinh y)) (/ (sqrt (sinh y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sinh y) (cbrt x)) (/ 1 (sqrt x)) (/ (sinh y) (sqrt x)) 1 (/ (sinh y) x) (/ 1 x) (/ x (sinh y)) (/ (sinh y) (* (cbrt x) (cbrt x))) (/ (sinh y) (sqrt x)) (sinh y) (/ x (cbrt (sinh y))) (/ x (sqrt (sinh y))) (/ x (sinh y)) (* x 2) (- (exp y) (exp (* -1 y))) (log (sinh y)) (exp (sinh y)) (* (cbrt (sinh y)) (cbrt (sinh y))) (cbrt (sinh y)) (pow (sinh y) 3) (sqrt (sinh y)) (sqrt (sinh y)) (- (+ (* 1/6 (pow y 3)) y) (* 1/6 (* (pow x 2) y))) (/ (* -1/2 (* (sin x) (- (exp (* -1 y)) (exp y)))) x) (/ (* -1/2 (* (sin x) (- (exp (* -1 y)) (exp y)))) x) (+ (* 1/120 (/ (pow y 5) x)) (+ (/ y x) (* 1/6 (/ (pow y 3) x)))) (/ (* -1/2 (- (exp (* -1 y)) (exp y))) x) (/ (* -1/2 (- (exp (* -1 y)) (exp y))) x) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) (* -1/2 (- (exp (* -1 y)) (exp y))) (* -1/2 (- (exp (* -1 y)) (exp y))) 0.999 * * * [progress]: adding candidates to table 1.214 * * [progress]: iteration 3 / 4 1.214 * * * [progress]: picking best candidate 1.228 * * * * [pick]: Picked # 1.228 * * * [progress]: localizing error 1.236 * * * [progress]: generating rewritten candidates 1.236 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.243 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 1.244 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.251 * * * [progress]: generating series expansions 1.252 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.252 * [approximate]: Approximating (/ (* (sin x) (sinh y)) x) in (x y) around 0 1.264 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 1.275 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 1.288 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 1.299 * [approximate]: Approximating (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in (x y) around 0 1.302 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 1.306 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 1.316 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 1.330 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 1.330 * [approximate]: Approximating (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in (x y) around 0 1.334 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 1.338 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 1.346 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 1.360 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 1.360 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 1.360 * [approximate]: Approximating (sinh y) in (y) around 0 1.399 * [approximate]: Approximating (sinh (/ 1 y)) in (y) around 0 1.417 * [approximate]: Approximating (sinh (/ -1 y)) in (y) around 0 1.434 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.434 * [approximate]: Approximating (/ x (sinh y)) in (x y) around 0 1.439 * [taylor]: Taking taylor expansion of (/ x (sinh y)) in y 1.446 * [taylor]: Taking taylor expansion of (/ x (sinh y)) in y 1.454 * [taylor]: Taking taylor expansion of (/ x (sinh y)) in y 1.467 * [taylor]: Taking taylor expansion of (/ x (sinh y)) in y 1.484 * [taylor]: Taking taylor expansion of (/ x (sinh y)) in y 1.484 * [approximate]: Approximating (/ 1 (* (sinh (/ 1 y)) x)) in (x y) around 0 1.494 * [taylor]: Taking taylor expansion of (/ 1 (* (sinh (/ 1 y)) x)) in y 1.500 * [taylor]: Taking taylor expansion of (/ 1 (* (sinh (/ 1 y)) x)) in y 1.509 * [taylor]: Taking taylor expansion of (/ 1 (* (sinh (/ 1 y)) x)) in y 1.520 * [taylor]: Taking taylor expansion of (/ 1 (* (sinh (/ 1 y)) x)) in y 1.521 * [approximate]: Approximating (/ -1 (* (sinh (/ -1 y)) x)) in (x y) around 0 1.530 * [taylor]: Taking taylor expansion of (/ -1 (* (sinh (/ -1 y)) x)) in y 1.539 * [taylor]: Taking taylor expansion of (/ -1 (* (sinh (/ -1 y)) x)) in y 1.548 * [taylor]: Taking taylor expansion of (/ -1 (* (sinh (/ -1 y)) x)) in y 1.559 * [taylor]: Taking taylor expansion of (/ -1 (* (sinh (/ -1 y)) x)) in y 1.560 * * * [progress]: simplifying candidates 1.561 * [simplify]: Simplifying using # : (- (log (sin x)) (- (log x) (log (sinh y)))) (- (log (sin x)) (log (/ x (sinh y)))) (log (/ (sin x) (/ x (sinh y)))) (exp (/ (sin x) (/ x (sinh y)))) (/ (* (* (sin x) (sin x)) (sin x)) (/ (* (* x x) x) (* (* (sinh y) (sinh y)) (sinh y)))) (/ (* (* (sin x) (sin x)) (sin x)) (* (* (/ x (sinh y)) (/ x (sinh y))) (/ x (sinh y)))) (* (cbrt (/ (sin x) (/ x (sinh y)))) (cbrt (/ (sin x) (/ x (sinh y))))) (cbrt (/ (sin x) (/ x (sinh y)))) (* (* (/ (sin x) (/ x (sinh y))) (/ (sin x) (/ x (sinh y)))) (/ (sin x) (/ x (sinh y)))) (sqrt (/ (sin x) (/ x (sinh y)))) (sqrt (/ (sin x) (/ x (sinh y)))) (neg (sin x)) (neg (/ x (sinh y))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y))))) (/ (cbrt (sin x)) (cbrt (/ x (sinh y)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (/ x (sinh y)))) (/ (cbrt (sin x)) (sqrt (/ x (sinh y)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (cbrt (sin x)) (/ (cbrt x) (cbrt (sinh y)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (* (cbrt x) (cbrt x)) (sqrt (sinh y)))) (/ (cbrt (sin x)) (/ (cbrt x) (sqrt (sinh y)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt (sin x)) (/ (cbrt x) (sinh y))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (sqrt x) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (cbrt (sin x)) (/ (sqrt x) (cbrt (sinh y)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (sqrt x) (sqrt (sinh y)))) (/ (cbrt (sin x)) (/ (sqrt x) (sqrt (sinh y)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (sqrt x) 1)) (/ (cbrt (sin x)) (/ (sqrt x) (sinh y))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ 1 (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (cbrt (sin x)) (/ x (cbrt (sinh y)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ 1 (sqrt (sinh y)))) (/ (cbrt (sin x)) (/ x (sqrt (sinh y)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ 1 1)) (/ (cbrt (sin x)) (/ x (sinh y))) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) (/ x (sinh y))) (/ (* (cbrt (sin x)) (cbrt (sin x))) x) (/ (cbrt (sin x)) (/ 1 (sinh y))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ x (- (exp y) (exp (neg y))))) (/ (cbrt (sin x)) 2) (/ (sqrt (sin x)) (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y))))) (/ (sqrt (sin x)) (cbrt (/ x (sinh y)))) (/ (sqrt (sin x)) (sqrt (/ x (sinh y)))) (/ (sqrt (sin x)) (sqrt (/ x (sinh y)))) (/ (sqrt (sin x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sqrt (sin x)) (/ (cbrt x) (cbrt (sinh y)))) (/ (sqrt (sin x)) (/ (* (cbrt x) (cbrt x)) (sqrt (sinh y)))) (/ (sqrt (sin x)) (/ (cbrt x) (sqrt (sinh y)))) (/ (sqrt (sin x)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (sqrt (sin x)) (/ (cbrt x) (sinh y))) (/ (sqrt (sin x)) (/ (sqrt x) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sqrt (sin x)) (/ (sqrt x) (cbrt (sinh y)))) (/ (sqrt (sin x)) (/ (sqrt x) (sqrt (sinh y)))) (/ (sqrt (sin x)) (/ (sqrt x) (sqrt (sinh y)))) (/ (sqrt (sin x)) (/ (sqrt x) 1)) (/ (sqrt (sin x)) (/ (sqrt x) (sinh y))) (/ (sqrt (sin x)) (/ 1 (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sqrt (sin x)) (/ x (cbrt (sinh y)))) (/ (sqrt (sin x)) (/ 1 (sqrt (sinh y)))) (/ (sqrt (sin x)) (/ x (sqrt (sinh y)))) (/ (sqrt (sin x)) (/ 1 1)) (/ (sqrt (sin x)) (/ x (sinh y))) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) (/ x (sinh y))) (/ (sqrt (sin x)) x) (/ (sqrt (sin x)) (/ 1 (sinh y))) (/ (sqrt (sin x)) (/ x (- (exp y) (exp (neg y))))) (/ (sqrt (sin x)) 2) (/ 1 (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y))))) (/ (sin x) (cbrt (/ x (sinh y)))) (/ 1 (sqrt (/ x (sinh y)))) (/ (sin x) (sqrt (/ x (sinh y)))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sin x) (/ (cbrt x) (cbrt (sinh y)))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt (sinh y)))) (/ (sin x) (/ (cbrt x) (sqrt (sinh y)))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ (sin x) (/ (cbrt x) (sinh y))) (/ 1 (/ (sqrt x) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sin x) (/ (sqrt x) (cbrt (sinh y)))) (/ 1 (/ (sqrt x) (sqrt (sinh y)))) (/ (sin x) (/ (sqrt x) (sqrt (sinh y)))) (/ 1 (/ (sqrt x) 1)) (/ (sin x) (/ (sqrt x) (sinh y))) (/ 1 (/ 1 (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sin x) (/ x (cbrt (sinh y)))) (/ 1 (/ 1 (sqrt (sinh y)))) (/ (sin x) (/ x (sqrt (sinh y)))) (/ 1 (/ 1 1)) (/ (sin x) (/ x (sinh y))) (/ 1 1) (/ (sin x) (/ x (sinh y))) (/ 1 x) (/ (sin x) (/ 1 (sinh y))) (/ 1 (/ x (- (exp y) (exp (neg y))))) (/ (sin x) 2) (/ 1 (/ x (sinh y))) (/ (/ x (sinh y)) (sin x)) (/ (sin x) (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y))))) (/ (sin x) (sqrt (/ x (sinh y)))) (/ (sin x) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sin x) (/ (* (cbrt x) (cbrt x)) (sqrt (sinh y)))) (/ (sin x) (/ (* (cbrt x) (cbrt x)) 1)) (/ (sin x) (/ (sqrt x) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sin x) (/ (sqrt x) (sqrt (sinh y)))) (/ (sin x) (/ (sqrt x) 1)) (/ (sin x) (/ 1 (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sin x) (/ 1 (sqrt (sinh y)))) (/ (sin x) (/ 1 1)) (/ (sin x) 1) (/ (sin x) x) (/ (sin x) (/ x (- (exp y) (exp (neg y))))) (/ (/ x (sinh y)) (cbrt (sin x))) (/ (/ x (sinh y)) (sqrt (sin x))) (/ (/ x (sinh y)) (sin x)) (/ (sin x) x) (- (exp y) (exp (neg y))) (log (sinh y)) (exp (sinh y)) (* (cbrt (sinh y)) (cbrt (sinh y))) (cbrt (sinh y)) (* (* (sinh y) (sinh y)) (sinh y)) (sqrt (sinh y)) (sqrt (sinh y)) (- (log x) (log (sinh y))) (log (/ x (sinh y))) (exp (/ x (sinh y))) (/ (* (* x x) x) (* (* (sinh y) (sinh y)) (sinh y))) (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y)))) (cbrt (/ x (sinh y))) (* (* (/ x (sinh y)) (/ x (sinh y))) (/ x (sinh y))) (sqrt (/ x (sinh y))) (sqrt (/ x (sinh y))) (neg x) (neg (sinh y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ (cbrt x) (cbrt (sinh y))) (/ (* (cbrt x) (cbrt x)) (sqrt (sinh y))) (/ (cbrt x) (sqrt (sinh y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (sinh y)) (/ (sqrt x) (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ (sqrt x) (cbrt (sinh y))) (/ (sqrt x) (sqrt (sinh y))) (/ (sqrt x) (sqrt (sinh y))) (/ (sqrt x) 1) (/ (sqrt x) (sinh y)) (/ 1 (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ x (cbrt (sinh y))) (/ 1 (sqrt (sinh y))) (/ x (sqrt (sinh y))) (/ 1 1) (/ x (sinh y)) (/ 1 (sinh y)) (/ (sinh y) x) (/ x (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ x (sqrt (sinh y))) (/ x 1) (/ (sinh y) (cbrt x)) (/ (sinh y) (sqrt x)) (/ (sinh y) x) (/ x (- (exp y) (exp (neg y)))) (- (+ (* 1/6 (pow y 3)) y) (* 1/6 (* (pow x 2) y))) (/ (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (exp (neg y)) (sin x)))) x) (* -1 (/ (- (* 1/2 (* (sin x) (exp (* -1 y)))) (* 1/2 (* (sin x) (exp y)))) x)) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) (* 1/2 (- (exp y) (exp (neg y)))) (* 1/2 (- (exp y) (exp (* -1 y)))) (- (/ x y) (* 1/6 (* x y))) (/ x (- (* 1/2 (exp y)) (* 1/2 (exp (neg y))))) (/ x (- (* 1/2 (exp y)) (* 1/2 (exp (* -1 y))))) 1.567 * * [simplify]: iteration 0 : 475 enodes (cost 938 ) 1.575 * * [simplify]: iteration 1 : 1984 enodes (cost 886 ) 1.608 * * [simplify]: iteration 2 : 5001 enodes (cost 865 ) 1.613 * [simplify]: Simplified to: (log (/ (sin x) (/ x (sinh y)))) (log (/ (sin x) (/ x (sinh y)))) (log (/ (sin x) (/ x (sinh y)))) (exp (/ (sin x) (/ x (sinh y)))) (pow (/ (sin x) (/ x (sinh y))) 3) (pow (/ (sin x) (/ x (sinh y))) 3) (* (cbrt (/ (sin x) (/ x (sinh y)))) (cbrt (/ (sin x) (/ x (sinh y))))) (cbrt (/ (sin x) (/ x (sinh y)))) (pow (/ (sin x) (/ x (sinh y))) 3) (sqrt (/ (sin x) (/ x (sinh y)))) (sqrt (/ (sin x) (/ x (sinh y)))) (neg (sin x)) (neg (/ x (sinh y))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y))))) (/ (cbrt (sin x)) (cbrt (/ x (sinh y)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (/ x (sinh y)))) (/ (cbrt (sin x)) (sqrt (/ x (sinh y)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (cbrt (sin x)) (/ (cbrt x) (cbrt (sinh y)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (* (cbrt x) (cbrt x)) (sqrt (sinh y)))) (/ (cbrt (sin x)) (/ (cbrt x) (sqrt (sinh y)))) (/ (cbrt (sin x)) (/ (* (cbrt x) (cbrt x)) (cbrt (sin x)))) (/ (cbrt (sin x)) (/ (cbrt x) (sinh y))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (sqrt x) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (cbrt (sin x)) (/ (sqrt x) (cbrt (sinh y)))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ (sqrt x) (sqrt (sinh y)))) (/ (cbrt (sin x)) (/ (sqrt x) (sqrt (sinh y)))) (/ (cbrt (sin x)) (/ (sqrt x) (cbrt (sin x)))) (/ (cbrt (sin x)) (/ (sqrt x) (sinh y))) (* (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ (cbrt (sin x)) (/ x (cbrt (sinh y)))) (* (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (sinh y))) (/ (cbrt (sin x)) (/ x (sqrt (sinh y)))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (/ x (sinh y))) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) (/ x (sinh y))) (/ (* (cbrt (sin x)) (cbrt (sin x))) x) (* (sinh y) (cbrt (sin x))) (* (/ (* (cbrt (sin x)) (cbrt (sin x))) (/ x 2)) (sinh y)) (/ (cbrt (sin x)) 2) (/ (sqrt (sin x)) (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y))))) (/ (sqrt (sin x)) (cbrt (/ x (sinh y)))) (/ (sqrt (sin x)) (sqrt (/ x (sinh y)))) (/ (sqrt (sin x)) (sqrt (/ x (sinh y)))) (/ (sqrt (sin x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sqrt (sin x)) (/ (cbrt x) (cbrt (sinh y)))) (/ (sqrt (sin x)) (/ (* (cbrt x) (cbrt x)) (sqrt (sinh y)))) (/ (sqrt (sin x)) (/ (cbrt x) (sqrt (sinh y)))) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (/ (cbrt x) (sinh y))) (/ (sqrt (sin x)) (/ (sqrt x) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sqrt (sin x)) (/ (sqrt x) (cbrt (sinh y)))) (/ (sqrt (sin x)) (/ (sqrt x) (sqrt (sinh y)))) (/ (sqrt (sin x)) (/ (sqrt x) (sqrt (sinh y)))) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (/ (sqrt x) (sinh y))) (* (sqrt (sin x)) (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ (sqrt (sin x)) (/ x (cbrt (sinh y)))) (* (sqrt (sin x)) (sqrt (sinh y))) (/ (sqrt (sin x)) (/ x (sqrt (sinh y)))) (sqrt (sin x)) (/ (sqrt (sin x)) (/ x (sinh y))) (sqrt (sin x)) (/ (sqrt (sin x)) (/ x (sinh y))) (/ (sqrt (sin x)) x) (* (sqrt (sin x)) (sinh y)) (* (/ (sqrt (sin x)) (/ x 2)) (sinh y)) (/ (sqrt (sin x)) 2) (/ 1 (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y))))) (/ (sin x) (cbrt (/ x (sinh y)))) (/ 1 (sqrt (/ x (sinh y)))) (/ (sin x) (sqrt (/ x (sinh y)))) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt x) (cbrt x))) (/ (sin x) (/ (cbrt x) (cbrt (sinh y)))) (/ (sqrt (sinh y)) (* (cbrt x) (cbrt x))) (/ (sin x) (/ (cbrt x) (sqrt (sinh y)))) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (/ (cbrt x) (sinh y))) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt x)) (/ (sin x) (/ (sqrt x) (cbrt (sinh y)))) (/ (sqrt (sinh y)) (sqrt x)) (/ (sin x) (/ (sqrt x) (sqrt (sinh y)))) (/ 1 (sqrt x)) (/ (sin x) (/ (sqrt x) (sinh y))) (* (cbrt (sinh y)) (cbrt (sinh y))) (/ (sin x) (/ x (cbrt (sinh y)))) (sqrt (sinh y)) (/ (sin x) (/ x (sqrt (sinh y)))) 1 (/ (sin x) (/ x (sinh y))) 1 (/ (sin x) (/ x (sinh y))) (/ 1 x) (* (sin x) (sinh y)) (/ 2 (/ x (sinh y))) (* 1/2 (sin x)) (/ 1 (/ x (sinh y))) (/ (/ x (sinh y)) (sin x)) (/ (sin x) (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y))))) (/ (sin x) (sqrt (/ x (sinh y)))) (/ (sin x) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sin x) (/ (* (cbrt x) (cbrt x)) (sqrt (sinh y)))) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (/ (sqrt x) (* (cbrt (sinh y)) (cbrt (sinh y))))) (/ (sin x) (/ (sqrt x) (sqrt (sinh y)))) (/ (sin x) (sqrt x)) (* (sin x) (* (cbrt (sinh y)) (cbrt (sinh y)))) (* (sin x) (sqrt (sinh y))) (sin x) (sin x) (/ (sin x) x) (* (/ (sin x) (/ x 2)) (sinh y)) (/ (/ x (sinh y)) (cbrt (sin x))) (/ (/ x (sinh y)) (sqrt (sin x))) (/ (/ x (sinh y)) (sin x)) (/ (sin x) x) (- (exp y) (exp (* -1 y))) (log (sinh y)) (exp (sinh y)) (* (cbrt (sinh y)) (cbrt (sinh y))) (cbrt (sinh y)) (pow (sinh y) 3) (sqrt (sinh y)) (sqrt (sinh y)) (log (/ x (sinh y))) (log (/ x (sinh y))) (exp (/ x (sinh y))) (pow (/ x (sinh y)) 3) (* (cbrt (/ x (sinh y))) (cbrt (/ x (sinh y)))) (cbrt (/ x (sinh y))) (pow (/ x (sinh y)) 3) (sqrt (/ x (sinh y))) (sqrt (/ x (sinh y))) (neg x) (neg (sinh y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ (cbrt x) (cbrt (sinh y))) (/ (* (cbrt x) (cbrt x)) (sqrt (sinh y))) (/ (cbrt x) (sqrt (sinh y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (sinh y)) (/ (sqrt x) (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ (sqrt x) (cbrt (sinh y))) (/ (sqrt x) (sqrt (sinh y))) (/ (sqrt x) (sqrt (sinh y))) (sqrt x) (/ (sqrt x) (sinh y)) (/ 1 (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ x (cbrt (sinh y))) (/ 1 (sqrt (sinh y))) (/ x (sqrt (sinh y))) 1 (/ x (sinh y)) (/ 1 (sinh y)) (/ (sinh y) x) (/ x (* (cbrt (sinh y)) (cbrt (sinh y)))) (/ x (sqrt (sinh y))) x (/ (sinh y) (cbrt x)) (/ (sinh y) (sqrt x)) (/ (sinh y) x) (/ x (- (exp y) (exp (neg y)))) (- (+ (* 1/6 (pow y 3)) y) (* 1/6 (* (pow x 2) y))) (/ (sin x) (/ x (sinh y))) (/ (* (* (* 1/2 (sin x)) (- (exp (* -1 y)) (exp y))) -1) x) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) (* 1/2 (- (exp y) (exp (* -1 y)))) (* 1/2 (- (exp y) (exp (* -1 y)))) (- (/ x y) (* 1/6 (* x y))) (/ x (sinh y)) (/ x (sinh y)) 1.614 * * * [progress]: adding candidates to table 2.112 * * [progress]: iteration 4 / 4 2.112 * * * [progress]: picking best candidate 2.124 * * * * [pick]: Picked # 2.125 * * * [progress]: localizing error 2.131 * * * [progress]: generating rewritten candidates 2.131 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 2.135 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 2.141 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 2.144 * * * [progress]: generating series expansions 2.144 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 2.144 * [approximate]: Approximating (/ (sin x) x) in (x) around 0 2.154 * [approximate]: Approximating (* x (sin (/ 1 x))) in (x) around 0 2.165 * [approximate]: Approximating (* -1 (* (sin (/ -1 x)) x)) in (x) around 0 2.180 * * * * [progress]: [ 2 / 3 ] generating series at (2) 2.180 * [approximate]: Approximating (/ (* (sin x) (sinh y)) x) in (x y) around 0 2.196 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 2.207 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 2.220 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 2.231 * [approximate]: Approximating (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in (x y) around 0 2.234 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 2.238 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 2.245 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 2.259 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 2.259 * [approximate]: Approximating (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in (x y) around 0 2.262 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 2.267 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 2.277 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 2.291 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 2.292 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.292 * [approximate]: Approximating (sinh y) in (y) around 0 2.331 * [approximate]: Approximating (sinh (/ 1 y)) in (y) around 0 2.352 * [approximate]: Approximating (sinh (/ -1 y)) in (y) around 0 2.370 * * * [progress]: simplifying candidates 2.371 * [simplify]: Simplifying using # : (- (log (sin x)) (log x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (neg (sin x)) (neg x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) 1) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) (/ 1 1) (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (/ (sin x) 1) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (* (/ (sin x) x) (sinh y)) (+ (- (log (sin x)) (log x)) (log (sinh y))) (+ (log (/ (sin x) x)) (log (sinh y))) (log (* (/ (sin x) x) (sinh y))) (exp (* (/ (sin x) x) (sinh y))) (* (/ (* (* (sin x) (sin x)) (sin x)) (* (* x x) x)) (* (* (sinh y) (sinh y)) (sinh y))) (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (sinh y) (sinh y)) (sinh y))) (* (cbrt (* (/ (sin x) x) (sinh y))) (cbrt (* (/ (sin x) x) (sinh y)))) (cbrt (* (/ (sin x) x) (sinh y))) (* (* (* (/ (sin x) x) (sinh y)) (* (/ (sin x) x) (sinh y))) (* (/ (sin x) x) (sinh y))) (sqrt (* (/ (sin x) x) (sinh y))) (sqrt (* (/ (sin x) x) (sinh y))) (* (sin x) (- (exp y) (exp (neg y)))) (* x 2) (* (sqrt (/ (sin x) x)) (sqrt (sinh y))) (* (sqrt (/ (sin x) x)) (sqrt (sinh y))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (sinh y))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (sinh y))) (* (/ (sin x) x) (* (cbrt (sinh y)) (cbrt (sinh y)))) (* (/ (sin x) x) (sqrt (sinh y))) (* (/ (sin x) x) 1) (* (cbrt (/ (sin x) x)) (sinh y)) (* (sqrt (/ (sin x) x)) (sinh y)) (* (/ (cbrt (sin x)) (cbrt x)) (sinh y)) (* (/ (cbrt (sin x)) (sqrt x)) (sinh y)) (* (/ (cbrt (sin x)) x) (sinh y)) (* (/ (sqrt (sin x)) (cbrt x)) (sinh y)) (* (/ (sqrt (sin x)) (sqrt x)) (sinh y)) (* (/ (sqrt (sin x)) x) (sinh y)) (* (/ (sin x) (cbrt x)) (sinh y)) (* (/ (sin x) (sqrt x)) (sinh y)) (* (/ (sin x) x) (sinh y)) (* (/ (sin x) x) (sinh y)) (* (/ 1 x) (sinh y)) (* (/ (sin x) x) (- (exp y) (exp (neg y)))) (* (sin x) (sinh y)) (- (exp y) (exp (neg y))) (log (sinh y)) (exp (sinh y)) (* (cbrt (sinh y)) (cbrt (sinh y))) (cbrt (sinh y)) (* (* (sinh y) (sinh y)) (sinh y)) (sqrt (sinh y)) (sqrt (sinh y)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/6 (pow y 3)) y) (* 1/6 (* (pow x 2) y))) (/ (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (exp (neg y)) (sin x)))) x) (* -1 (/ (- (* 1/2 (* (sin x) (exp (* -1 y)))) (* 1/2 (* (sin x) (exp y)))) x)) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) (* 1/2 (- (exp y) (exp (neg y)))) (* 1/2 (- (exp y) (exp (* -1 y)))) 2.375 * * [simplify]: iteration 0 : 311 enodes (cost 427 ) 2.381 * * [simplify]: iteration 1 : 1229 enodes (cost 381 ) 2.406 * * [simplify]: iteration 2 : 5002 enodes (cost 358 ) 2.409 * [simplify]: Simplified to: (log (/ (sin x) x)) (log (/ (sin x) x)) (exp (/ (sin x) x)) (pow (/ (sin x) x) 3) (* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x))) (cbrt (/ (sin x) x)) (pow (/ (sin x) x) 3) (sqrt (/ (sin x) x)) (sqrt (/ (sin x) x)) (neg (sin x)) (neg x) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt x) (cbrt x))) (/ (cbrt (sin x)) (cbrt x)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt x)) (/ (cbrt (sin x)) (sqrt x)) (* (cbrt (sin x)) (cbrt (sin x))) (/ (cbrt (sin x)) x) (/ (sqrt (sin x)) (* (cbrt x) (cbrt x))) (/ (sqrt (sin x)) (cbrt x)) (/ (sqrt (sin x)) (sqrt x)) (/ (sqrt (sin x)) (sqrt x)) (sqrt (sin x)) (/ (sqrt (sin x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (cbrt x)) (/ 1 (sqrt x)) (/ (sin x) (sqrt x)) 1 (/ (sin x) x) (/ 1 x) (/ x (sin x)) (/ (sin x) (* (cbrt x) (cbrt x))) (/ (sin x) (sqrt x)) (sin x) (/ x (cbrt (sin x))) (/ x (sqrt (sin x))) (/ x (sin x)) (* (/ (sin x) x) (sinh y)) (log (* (/ (sin x) x) (sinh y))) (log (* (/ (sin x) x) (sinh y))) (log (* (/ (sin x) x) (sinh y))) (exp (* (/ (sin x) x) (sinh y))) (pow (* (/ (sin x) x) (sinh y)) 3) (pow (* (/ (sin x) x) (sinh y)) 3) (* (cbrt (* (/ (sin x) x) (sinh y))) (cbrt (* (/ (sin x) x) (sinh y)))) (cbrt (* (/ (sin x) x) (sinh y))) (pow (* (/ (sin x) x) (sinh y)) 3) (sqrt (* (/ (sin x) x) (sinh y))) (sqrt (* (/ (sin x) x) (sinh y))) (* (/ (sin x) 1/2) (sinh y)) (* x 2) (* (sqrt (/ (sin x) x)) (sqrt (sinh y))) (* (sqrt (/ (sin x) x)) (sqrt (sinh y))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (sinh y))) (* (/ (sqrt (sin x)) (sqrt x)) (sqrt (sinh y))) (* (/ (sin x) x) (* (cbrt (sinh y)) (cbrt (sinh y)))) (* (/ (sin x) x) (sqrt (sinh y))) (/ (sin x) x) (* (cbrt (/ (sin x) x)) (sinh y)) (* (sqrt (/ (sin x) x)) (sinh y)) (* (/ (cbrt (sin x)) (cbrt x)) (sinh y)) (* (/ (cbrt (sin x)) (sqrt x)) (sinh y)) (* (/ (cbrt (sin x)) x) (sinh y)) (* (/ (sqrt (sin x)) (cbrt x)) (sinh y)) (* (/ (sqrt (sin x)) (sqrt x)) (sinh y)) (* (/ (sqrt (sin x)) x) (sinh y)) (* (/ (sin x) (cbrt x)) (sinh y)) (* (/ (sin x) (sqrt x)) (sinh y)) (* (/ (sin x) x) (sinh y)) (* (/ (sin x) x) (sinh y)) (/ (sinh y) x) (/ (* (/ (sin x) 1/2) (sinh y)) x) (* (sin x) (sinh y)) (* (sinh y) 2) (log (sinh y)) (exp (sinh y)) (* (cbrt (sinh y)) (cbrt (sinh y))) (cbrt (sinh y)) (pow (sinh y) 3) (sqrt (sinh y)) (sqrt (sinh y)) (- (+ (* 1/120 (pow x 4)) 1) (* 1/6 (pow x 2))) (/ (sin x) x) (/ (sin x) x) (- (+ (* 1/6 (pow y 3)) y) (* 1/6 (* (pow x 2) y))) (* (/ (sin x) x) (sinh y)) (* (/ (sin x) x) (sinh y)) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) (sinh y) (sinh y) 2.409 * * * [progress]: adding candidates to table 2.606 * [progress]: [Phase 3 of 3] Extracting. 2.606 * * [regime]: Finding splitpoints for: (# # # # #) 2.606 * * * [regime-changes]: Trying 4 branch expressions: ((sinh y) (/ (* (sin x) (sinh y)) x) y x) 2.606 * * * * [regimes]: Trying to branch on (sinh y) from (# # # # #) 2.656 * * * * [regimes]: Trying to branch on (/ (* (sin x) (sinh y)) x) from (# # # # #) 2.707 * * * * [regimes]: Trying to branch on y from (# # # # #) 2.753 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.796 * * * [regime]: Found split indices: #