19.146 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.076 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.080 * [simplify]: Simplifying using # : (* (sin x) (/ (sinh y) y)) 0.082 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.083 * * [simplify]: iteration 1 : 30 enodes (cost 4 ) 0.084 * * [simplify]: iteration 2 : 66 enodes (cost 4 ) 0.085 * * [simplify]: iteration 3 : 137 enodes (cost 4 ) 0.087 * * [simplify]: iteration 4 : 262 enodes (cost 4 ) 0.090 * * [simplify]: iteration 5 : 500 enodes (cost 4 ) 0.098 * * [simplify]: iteration 6 : 1427 enodes (cost 4 ) 0.122 * * [simplify]: iteration 7 : 4640 enodes (cost 4 ) 0.155 * * [simplify]: iteration 8 : 5001 enodes (cost 4 ) 0.155 * [simplify]: Simplified to: (* (sin x) (/ (sinh y) y)) 0.156 * * [progress]: iteration 1 / 4 0.156 * * * [progress]: picking best candidate 0.159 * * * * [pick]: Picked # 0.159 * * * [progress]: localizing error 0.165 * * * [progress]: generating rewritten candidates 0.165 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.172 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.173 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.178 * * * [progress]: generating series expansions 0.178 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.179 * [approximate]: Approximating (/ (* (sin x) (sinh y)) y) in (x y) around 0 0.196 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) y) in y 0.207 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) y) in y 0.220 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) y) in y 0.233 * [approximate]: Approximating (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) in y 0.241 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) in y 0.250 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) in y 0.265 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) in y 0.265 * [approximate]: Approximating (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y))) in (x y) around 0 0.269 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y))) in y 0.274 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y))) in y 0.283 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y))) in y 0.296 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y))) in y 0.297 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.297 * [approximate]: Approximating (sinh y) in (y) around 0 0.335 * [approximate]: Approximating (sinh (/ 1 y)) in (y) around 0 0.351 * [approximate]: Approximating (sinh (/ -1 y)) in (y) around 0 0.368 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.368 * [approximate]: Approximating (/ (sinh y) y) in (y) around 0 0.412 * [approximate]: Approximating (* (sinh (/ 1 y)) y) in (y) around 0 0.438 * [approximate]: Approximating (* -1 (* (sinh (/ -1 y)) y)) in (y) around 0 0.473 * * * [progress]: simplifying candidates 0.474 * [simplify]: Simplifying using # : (* (sin x) (/ (sinh y) y)) (+ (log (sin x)) (- (log (sinh y)) (log y))) (+ (log (sin x)) (log (/ (sinh y) y))) (log (* (sin x) (/ (sinh y) y))) (exp (* (sin x) (/ (sinh y) y))) (* (* (* (sin x) (sin x)) (sin x)) (/ (* (* (sinh y) (sinh y)) (sinh y)) (* (* y y) y))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y))) (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (* (sin x) (/ (sinh y) y))) (* (* (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y))) (* (sin x) (/ (sinh y) y))) (sqrt (* (sin x) (/ (sinh y) y))) (sqrt (* (sin x) (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (/ (sqrt (sinh y)) (sqrt y))) (* (sqrt (sin x)) (/ (sqrt (sinh y)) (sqrt y))) (* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (* (sin x) (sqrt (/ (sinh y) y))) (* (sin x) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt y) (cbrt y)))) (* (sin x) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt y))) (* (sin x) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) 1)) (* (sin x) (/ (sqrt (sinh y)) (* (cbrt y) (cbrt y)))) (* (sin x) (/ (sqrt (sinh y)) (sqrt y))) (* (sin x) (/ (sqrt (sinh y)) 1)) (* (sin x) (/ 1 (* (cbrt y) (cbrt y)))) (* (sin x) (/ 1 (sqrt y))) (* (sin x) (/ 1 1)) (* (sin x) 1) (* (sin x) (sinh y)) (* (cbrt (sin x)) (/ (sinh y) y)) (* (sqrt (sin x)) (/ (sinh y) y)) (* (sin x) (/ (sinh y) 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)) (- (log (sinh y)) (log y)) (log (/ (sinh y) y)) (exp (/ (sinh y) y)) (/ (* (* (sinh y) (sinh y)) (sinh y)) (* (* y y) y)) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y)) (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)) (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)) (neg (sinh y)) (neg y) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sinh y)) (cbrt y)) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt y)) (/ (cbrt (sinh y)) (sqrt y)) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) 1) (/ (cbrt (sinh y)) y) (/ (sqrt (sinh y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sinh y)) (cbrt y)) (/ (sqrt (sinh y)) (sqrt y)) (/ (sqrt (sinh y)) (sqrt y)) (/ (sqrt (sinh y)) 1) (/ (sqrt (sinh y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sinh y) (cbrt y)) (/ 1 (sqrt y)) (/ (sinh y) (sqrt y)) (/ 1 1) (/ (sinh y) y) (/ 1 y) (/ y (sinh y)) (/ (sinh y) (* (cbrt y) (cbrt y))) (/ (sinh y) (sqrt y)) (/ (sinh y) 1) (/ y (cbrt (sinh y))) (/ y (sqrt (sinh y))) (/ y (sinh y)) (* y 2) (- (+ (* 1/6 (* x (pow y 2))) x) (* 1/6 (pow x 3))) (/ (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (exp (neg y)) (sin x)))) y) (* -1 (/ (- (* 1/2 (* (sin x) (exp (* -1 y)))) (* 1/2 (* (sin x) (exp y)))) y)) (+ (* 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)))) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)) (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y) (* -1 (/ (- (* 1/2 (exp (* -1 y))) (* 1/2 (exp y))) y)) 0.479 * * [simplify]: iteration 0 : 333 enodes (cost 428 ) 0.485 * * [simplify]: iteration 1 : 1323 enodes (cost 384 ) 0.512 * * [simplify]: iteration 2 : 5002 enodes (cost 382 ) 0.514 * [simplify]: Simplified to: (* (sin x) (/ (sinh y) y)) (log (* (sin x) (/ (sinh y) y))) (log (* (sin x) (/ (sinh y) y))) (log (* (sin x) (/ (sinh y) y))) (exp (* (sin x) (/ (sinh y) y))) (pow (* (sin x) (/ (sinh y) y)) 3) (pow (* (sin x) (/ (sinh y) y)) 3) (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (* (sin x) (/ (sinh y) y))) (pow (* (sin x) (/ (sinh y) y)) 3) (sqrt (* (sin x) (/ (sinh y) y))) (sqrt (* (sin x) (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (/ (sqrt (sinh y)) (sqrt y))) (* (sqrt (sin x)) (/ (sqrt (sinh y)) (sqrt y))) (* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (* (sin x) (sqrt (/ (sinh y) y))) (* (sin x) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt y) (cbrt y)))) (* (sin x) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt y))) (* (* (cbrt (sinh y)) (cbrt (sinh y))) (sin x)) (* (sin x) (/ (sqrt (sinh y)) (* (cbrt y) (cbrt y)))) (* (sin x) (/ (sqrt (sinh y)) (sqrt y))) (* (sqrt (sinh y)) (sin x)) (/ (sin x) (* (cbrt y) (cbrt y))) (/ (sin x) (sqrt y)) (sin x) (sin x) (* (sin x) (sinh y)) (* (cbrt (sin x)) (/ (sinh y) y)) (* (sqrt (sin x)) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (* (sin x) (sinh y)) (- (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 (/ (sinh y) y)) (log (/ (sinh y) y)) (exp (/ (sinh y) y)) (pow (/ (sinh y) y) 3) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y)) (pow (/ (sinh y) y) 3) (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)) (neg (sinh y)) (* -1 y) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sinh y)) (cbrt y)) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt y)) (/ (cbrt (sinh y)) (sqrt y)) (* (cbrt (sinh y)) (cbrt (sinh y))) (/ (cbrt (sinh y)) y) (/ (sqrt (sinh y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sinh y)) (cbrt y)) (/ (sqrt (sinh y)) (sqrt y)) (/ (sqrt (sinh y)) (sqrt y)) (sqrt (sinh y)) (/ (sqrt (sinh y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sinh y) (cbrt y)) (/ 1 (sqrt y)) (/ (sinh y) (sqrt y)) 1 (/ (sinh y) y) (/ 1 y) (/ y (sinh y)) (/ (sinh y) (* (cbrt y) (cbrt y))) (/ (sinh y) (sqrt y)) (sinh y) (/ y (cbrt (sinh y))) (/ y (sqrt (sinh y))) (/ y (sinh y)) (* y 2) (- (+ (* 1/6 (* x (pow y 2))) x) (* 1/6 (pow x 3))) (/ (* -1/2 (* (sin x) (- (exp (* -1 y)) (exp y)))) y) (/ (* -1/2 (* (sin x) (- (exp (* -1 y)) (exp y)))) y) (+ (* 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))) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)) (/ (* -1/2 (- (exp (* -1 y)) (exp y))) y) (/ (* -1/2 (- (exp (* -1 y)) (exp y))) y) 0.515 * * * [progress]: adding candidates to table 0.741 * * [progress]: iteration 2 / 4 0.741 * * * [progress]: picking best candidate 0.751 * * * * [pick]: Picked # 0.751 * * * [progress]: localizing error 0.759 * * * [progress]: generating rewritten candidates 0.759 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.772 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.779 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.783 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.787 * * * [progress]: generating series expansions 0.787 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.787 * [approximate]: Approximating (/ (* (sin x) (sinh y)) y) in (x y) around 0 0.799 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) y) in y 0.810 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) y) in y 0.822 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) y) in y 0.835 * [approximate]: Approximating (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) in (x y) around 0 0.838 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) in y 0.843 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) in y 0.857 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) in y 0.869 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) in y 0.869 * [approximate]: Approximating (* (sin (/ -1 x)) (pow (sqrt (* -1 (* (sinh (/ -1 y)) y))) 2)) in (x y) around 0 0.884 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (pow (sqrt (* -1 (* (sinh (/ -1 y)) y))) 2)) in y 0.889 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (pow (sqrt (* -1 (* (sinh (/ -1 y)) y))) 2)) in y 0.910 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (pow (sqrt (* -1 (* (sinh (/ -1 y)) y))) 2)) in y 0.950 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.950 * [approximate]: Approximating (/ (sinh y) y) in (y) around 0 0.989 * [approximate]: Approximating (* (sinh (/ 1 y)) y) in (y) around 0 1.027 * [approximate]: Approximating (* -1 (* (sinh (/ -1 y)) y)) in (y) around 0 1.083 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.083 * [approximate]: Approximating (/ (sinh y) y) in (y) around 0 1.141 * [approximate]: Approximating (* (sinh (/ 1 y)) y) in (y) around 0 1.183 * [approximate]: Approximating (* -1 (* (sinh (/ -1 y)) y)) in (y) around 0 1.239 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.239 * [approximate]: Approximating (sinh y) in (y) around 0 1.275 * [approximate]: Approximating (sinh (/ 1 y)) in (y) around 0 1.292 * [approximate]: Approximating (sinh (/ -1 y)) in (y) around 0 1.314 * * * [progress]: simplifying candidates 1.316 * [simplify]: Simplifying using # : (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))) (+ (+ (log (sin x)) (log (sqrt (/ (sinh y) y)))) (log (sqrt (/ (sinh y) y)))) (+ (log (* (sin x) (sqrt (/ (sinh y) y)))) (log (sqrt (/ (sinh y) y)))) (log (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (exp (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (* (* (* (* (sin x) (sin x)) (sin x)) (* (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (* (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (* (* (* (* (sin x) (sqrt (/ (sinh y) y))) (* (sin x) (sqrt (/ (sinh y) y)))) (* (sin x) (sqrt (/ (sinh y) y)))) (* (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (* (cbrt (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (cbrt (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))))) (cbrt (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (* (* (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (sqrt (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (sqrt (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (* (* (sin x) (sqrt (sinh y))) (sqrt (sinh y))) (* (sqrt y) (sqrt y)) (* (* (sin x) (sqrt (/ (sinh y) y))) (* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt y) (cbrt y))))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt y)))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (* (cbrt (sinh y)) (cbrt (sinh y))) 1))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sqrt (sinh y)) (* (cbrt y) (cbrt y))))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sqrt (sinh y)) (sqrt y)))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sqrt (sinh y)) 1))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ 1 (* (cbrt y) (cbrt y))))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ 1 (sqrt y)))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ 1 1))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt 1)) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sinh y))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))) (* (* (sin x) (sqrt (/ (sinh y) y))) 1) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sinh y))) (* (* (sin x) (sqrt (sinh y))) (sqrt (/ (sinh y) y))) (- (log (sinh y)) (log y)) (log (/ (sinh y) y)) (exp (/ (sinh y) y)) (/ (* (* (sinh y) (sinh y)) (sinh y)) (* (* y y) y)) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y)) (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)) (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)) (neg (sinh y)) (neg y) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sinh y)) (cbrt y)) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt y)) (/ (cbrt (sinh y)) (sqrt y)) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) 1) (/ (cbrt (sinh y)) y) (/ (sqrt (sinh y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sinh y)) (cbrt y)) (/ (sqrt (sinh y)) (sqrt y)) (/ (sqrt (sinh y)) (sqrt y)) (/ (sqrt (sinh y)) 1) (/ (sqrt (sinh y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sinh y) (cbrt y)) (/ 1 (sqrt y)) (/ (sinh y) (sqrt y)) (/ 1 1) (/ (sinh y) y) (/ 1 y) (/ y (sinh y)) (/ (sinh y) (* (cbrt y) (cbrt y))) (/ (sinh y) (sqrt y)) (/ (sinh y) 1) (/ y (cbrt (sinh y))) (/ y (sqrt (sinh y))) (/ y (sinh y)) (* y 2) (- (log (sinh y)) (log y)) (log (/ (sinh y) y)) (exp (/ (sinh y) y)) (/ (* (* (sinh y) (sinh y)) (sinh y)) (* (* y y) y)) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y)) (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)) (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)) (neg (sinh y)) (neg y) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sinh y)) (cbrt y)) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt y)) (/ (cbrt (sinh y)) (sqrt y)) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) 1) (/ (cbrt (sinh y)) y) (/ (sqrt (sinh y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sinh y)) (cbrt y)) (/ (sqrt (sinh y)) (sqrt y)) (/ (sqrt (sinh y)) (sqrt y)) (/ (sqrt (sinh y)) 1) (/ (sqrt (sinh y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sinh y) (cbrt y)) (/ 1 (sqrt y)) (/ (sinh y) (sqrt y)) (/ 1 1) (/ (sinh y) y) (/ 1 y) (/ y (sinh y)) (/ (sinh y) (* (cbrt y) (cbrt y))) (/ (sinh y) (sqrt y)) (/ (sinh y) 1) (/ y (cbrt (sinh y))) (/ y (sqrt (sinh y))) (/ y (sinh y)) (* y 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 (* x (pow y 2))) x) (* 1/6 (pow x 3))) (/ (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (exp (neg y)) (sin x)))) y) (- (+ (* 1/4 (/ (* (pow NAN 2) (* (sin x) (pow (exp (* -1 y)) 2))) (pow y 2))) (+ (* 15/8 (/ (* (pow NAN 6) (* (sin x) (* (pow (exp y) 2) (pow (exp (* -1 y)) 2)))) (pow y 4))) (+ (* 1/4 (/ (* (pow NAN 4) (* (sin x) (pow (exp (* -1 y)) 3))) (pow y 3))) (+ (* 3/4 (/ (* (pow NAN 4) (* (sin x) (* (pow (exp y) 2) (exp (* -1 y))))) (pow y 3))) (+ (* 5/16 (/ (* (pow NAN 6) (* (sin x) (pow (exp (* -1 y)) 4))) (pow y 4))) (+ (* 1/4 (/ (* (pow NAN 2) (* (sin x) (pow (exp y) 2))) (pow y 2))) (* 5/16 (/ (* (pow NAN 6) (* (sin x) (pow (exp y) 4))) (pow y 4))))))))) (+ (* 5/4 (/ (* (pow NAN 6) (* (sin x) (* (pow (exp y) 3) (exp (* -1 y))))) (pow y 4))) (+ (* 5/4 (/ (* (pow NAN 6) (* (sin x) (* (exp y) (pow (exp (* -1 y)) 3)))) (pow y 4))) (+ (* 1/4 (/ (* (pow NAN 4) (* (sin x) (pow (exp y) 3))) (pow y 3))) (+ (* 1/2 (/ (* (pow NAN 2) (* (sin x) (* (exp y) (exp (* -1 y))))) (pow y 2))) (* 3/4 (/ (* (pow NAN 4) (* (sin x) (* (exp y) (pow (exp (* -1 y)) 2)))) (pow y 3)))))))) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)) (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y) (* -1 (/ (- (* 1/2 (exp (* -1 y))) (* 1/2 (exp y))) y)) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)) (/ (- (* 1/2 (exp y)) (* 1/2 (exp (neg y)))) y) (* -1 (/ (- (* 1/2 (exp (* -1 y))) (* 1/2 (exp y))) y)) (+ (* 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)))) 1.322 * * [simplify]: iteration 0 : 624 enodes (cost 849 ) 1.334 * * [simplify]: iteration 1 : 3010 enodes (cost 754 ) 1.385 * * [simplify]: iteration 2 : 5002 enodes (cost 750 ) 1.390 * [simplify]: Simplified to: (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y)) (+ (log (sin x)) (log (/ (sinh y) y))) (+ (log (sin x)) (log (/ (sinh y) y))) (+ (log (sin x)) (log (/ (sinh y) y))) (pow (exp (sin x)) (/ (sinh y) y)) (pow (* (sin x) (/ (sinh y) y)) 3) (pow (* (sin x) (/ (sinh y) y)) 3) (* (cbrt (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (cbrt (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y))))) (cbrt (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (pow (* (sin x) (/ (sinh y) y)) 3) (sqrt (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (sqrt (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (* (sinh y) (sin x)) y (* (* (sin x) (sqrt (/ (sinh y) y))) (* (cbrt (sqrt (/ (sinh y) y))) (cbrt (sqrt (/ (sinh y) y))))) (* (sin x) (* (sqrt (/ (sinh y) y)) (fabs (cbrt (/ (sinh y) y))))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))) (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (/ (cbrt (sinh y)) (cbrt y)))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt y)))) (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sqrt (sinh y)) (* (cbrt y) (cbrt y))))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sqrt (sinh y)) (sqrt y)))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sqrt (sinh y)) 1))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ 1 (* (cbrt y) (cbrt y))))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ 1 (sqrt y)))) (* (sin x) (sqrt (/ (sinh y) y))) (* (sin x) (sqrt (/ (sinh y) y))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sinh y))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sqrt (/ (sinh y) y)))) (* (sin x) (sqrt (/ (sinh y) y))) (/ (sinh y) y) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sinh y))) (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sinh y))) (log (/ (sinh y) y)) (log (/ (sinh y) y)) (exp (/ (sinh y) y)) (pow (/ (sinh y) y) 3) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y)) (pow (/ (sinh y) y) 3) (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)) (neg (sinh y)) (* -1 y) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sinh y)) (cbrt y)) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt y)) (/ (cbrt (sinh y)) (sqrt y)) (* (cbrt (sinh y)) (cbrt (sinh y))) (/ (cbrt (sinh y)) y) (/ (sqrt (sinh y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sinh y)) (cbrt y)) (/ (sqrt (sinh y)) (sqrt y)) (/ (sqrt (sinh y)) (sqrt y)) (sqrt (sinh y)) (/ (sqrt (sinh y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sinh y) (cbrt y)) (/ 1 (sqrt y)) (/ (sinh y) (sqrt y)) 1 (/ (sinh y) y) (/ 1 y) (/ y (sinh y)) (/ (sinh y) (* (cbrt y) (cbrt y))) (/ (sinh y) (sqrt y)) (sinh y) (/ y (cbrt (sinh y))) (/ y (sqrt (sinh y))) (/ y (sinh y)) (* y 2) (log (/ (sinh y) y)) (log (/ (sinh y) y)) (exp (/ (sinh y) y)) (pow (/ (sinh y) y) 3) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y)) (pow (/ (sinh y) y) 3) (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)) (neg (sinh y)) (* -1 y) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (* (cbrt y) (cbrt y))) (/ (cbrt (sinh y)) (cbrt y)) (/ (* (cbrt (sinh y)) (cbrt (sinh y))) (sqrt y)) (/ (cbrt (sinh y)) (sqrt y)) (* (cbrt (sinh y)) (cbrt (sinh y))) (/ (cbrt (sinh y)) y) (/ (sqrt (sinh y)) (* (cbrt y) (cbrt y))) (/ (sqrt (sinh y)) (cbrt y)) (/ (sqrt (sinh y)) (sqrt y)) (/ (sqrt (sinh y)) (sqrt y)) (sqrt (sinh y)) (/ (sqrt (sinh y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (sinh y) (cbrt y)) (/ 1 (sqrt y)) (/ (sinh y) (sqrt y)) 1 (/ (sinh y) y) (/ 1 y) (/ y (sinh y)) (/ (sinh y) (* (cbrt y) (cbrt y))) (/ (sinh y) (sqrt y)) (sinh y) (/ y (cbrt (sinh y))) (/ y (sqrt (sinh y))) (/ y (sinh y)) (* y 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 (* x (pow y 2))) x) (* 1/6 (pow x 3))) (/ 1/2 (/ y (* (sin x) (- (exp y) (exp (* -1 y)))))) (- (- (+ (* 1/4 (/ (* (pow NAN 2) (* (sin x) (pow (exp (* -1 y)) 2))) (pow y 2))) (+ (* 15/8 (/ (* (pow NAN 6) (* (sin x) (* (pow (exp y) 2) (pow (exp (* -1 y)) 2)))) (pow y 4))) (+ (* 1/4 (/ (* (pow NAN 4) (* (sin x) (pow (exp (* -1 y)) 3))) (pow y 3))) (+ (* 3/4 (/ (* (pow NAN 4) (* (sin x) (* (pow (exp y) 2) (exp (* -1 y))))) (pow y 3))) (+ (* 5/16 (/ (* (pow NAN 6) (* (sin x) (pow (exp (* -1 y)) 4))) (pow y 4))) (+ (* 1/4 (/ (* (pow NAN 2) (* (sin x) (pow (exp y) 2))) (pow y 2))) (* 5/16 (/ (* (pow NAN 6) (* (sin x) (pow (exp y) 4))) (pow y 4))))))))) (* 5/4 (+ (/ (* (pow NAN 6) (* (sin x) (* (pow (exp y) 3) (exp (* -1 y))))) (pow y 4)) (/ (* (pow NAN 6) (* (sin x) (* (exp y) (pow (exp (* -1 y)) 3)))) (pow y 4))))) (+ (+ (* 3/4 (/ (* (pow NAN 4) (* (sin x) (* (exp y) (pow (exp (* -1 y)) 2)))) (pow y 3))) (/ (* 1/2 (* (* (pow NAN 2) (sin x)) (exp (+ y (* -1 y))))) (pow y 2))) (* 1/4 (/ (* (pow NAN 4) (* (sin x) (pow (exp y) 3))) (pow y 3))))) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)) (/ 1/2 (/ y (- (exp y) (exp (* -1 y))))) (/ (* -1 (* 1/2 (- (exp (* -1 y)) (exp y)))) y) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)) (/ 1/2 (/ y (- (exp y) (exp (* -1 y))))) (/ (* -1 (* 1/2 (- (exp (* -1 y)) (exp y)))) y) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) (* 1/2 (- (exp y) (exp (neg y)))) (* 1/2 (- (exp y) (exp (neg y)))) 1.390 * * * [progress]: adding candidates to table 2.089 * * [progress]: iteration 3 / 4 2.089 * * * [progress]: picking best candidate 2.102 * * * * [pick]: Picked # 2.102 * * * [progress]: localizing error 2.113 * * * [progress]: generating rewritten candidates 2.113 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.116 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.120 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.124 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.131 * * * [progress]: generating series expansions 2.131 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.131 * [approximate]: Approximating (pow (/ (* (sin x) (sinh y)) y) 1/3) in (x y) around 0 2.145 * [taylor]: Taking taylor expansion of (pow (/ (* (sin x) (sinh y)) y) 1/3) in y 2.159 * [taylor]: Taking taylor expansion of (pow (/ (* (sin x) (sinh y)) y) 1/3) in y 2.181 * [taylor]: Taking taylor expansion of (pow (/ (* (sin x) (sinh y)) y) 1/3) in y 2.233 * [approximate]: Approximating (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in (x y) around 0 2.242 * [taylor]: Taking taylor expansion of (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in y 2.259 * [taylor]: Taking taylor expansion of (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in y 2.275 * [taylor]: Taking taylor expansion of (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in y 2.297 * [taylor]: Taking taylor expansion of (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in y 2.298 * [approximate]: Approximating (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in (x y) around 0 2.311 * [taylor]: Taking taylor expansion of (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in y 2.325 * [taylor]: Taking taylor expansion of (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in y 2.349 * [taylor]: Taking taylor expansion of (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in y 2.375 * [taylor]: Taking taylor expansion of (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in y 2.376 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.376 * [approximate]: Approximating (pow (/ (* (sin x) (sinh y)) y) 1/3) in (x y) around 0 2.390 * [taylor]: Taking taylor expansion of (pow (/ (* (sin x) (sinh y)) y) 1/3) in y 2.404 * [taylor]: Taking taylor expansion of (pow (/ (* (sin x) (sinh y)) y) 1/3) in y 2.429 * [taylor]: Taking taylor expansion of (pow (/ (* (sin x) (sinh y)) y) 1/3) in y 2.487 * [approximate]: Approximating (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in (x y) around 0 2.496 * [taylor]: Taking taylor expansion of (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in y 2.508 * [taylor]: Taking taylor expansion of (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in y 2.524 * [taylor]: Taking taylor expansion of (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in y 2.546 * [taylor]: Taking taylor expansion of (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in y 2.547 * [approximate]: Approximating (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in (x y) around 0 2.564 * [taylor]: Taking taylor expansion of (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in y 2.578 * [taylor]: Taking taylor expansion of (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in y 2.596 * [taylor]: Taking taylor expansion of (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in y 2.622 * [taylor]: Taking taylor expansion of (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in y 2.623 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.623 * [approximate]: Approximating (pow (/ (* (sin x) (sinh y)) y) 1/3) in (x y) around 0 2.642 * [taylor]: Taking taylor expansion of (pow (/ (* (sin x) (sinh y)) y) 1/3) in y 2.656 * [taylor]: Taking taylor expansion of (pow (/ (* (sin x) (sinh y)) y) 1/3) in y 2.674 * [taylor]: Taking taylor expansion of (pow (/ (* (sin x) (sinh y)) y) 1/3) in y 2.732 * [approximate]: Approximating (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in (x y) around 0 2.741 * [taylor]: Taking taylor expansion of (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in y 2.753 * [taylor]: Taking taylor expansion of (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in y 2.769 * [taylor]: Taking taylor expansion of (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in y 2.797 * [taylor]: Taking taylor expansion of (pow (* (sinh (/ 1 y)) (* y (sin (/ 1 x)))) 1/3) in y 2.797 * [approximate]: Approximating (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in (x y) around 0 2.810 * [taylor]: Taking taylor expansion of (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in y 2.824 * [taylor]: Taking taylor expansion of (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in y 2.842 * [taylor]: Taking taylor expansion of (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in y 2.873 * [taylor]: Taking taylor expansion of (* (pow (* (sinh (/ -1 y)) (* (sin (/ -1 x)) y)) 1/3) (cbrt -1)) in y 2.874 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.874 * [approximate]: Approximating (pow (/ (* (pow (sin x) 2) (pow (sinh y) 2)) (pow y 2)) 1/3) in (x y) around 0 2.884 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin x) 2) (pow (sinh y) 2)) (pow y 2)) 1/3) in y 2.896 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin x) 2) (pow (sinh y) 2)) (pow y 2)) 1/3) in y 2.917 * [taylor]: Taking taylor expansion of (pow (/ (* (pow (sin x) 2) (pow (sinh y) 2)) (pow y 2)) 1/3) in y 3.032 * [approximate]: Approximating (pow (* (pow (sinh (/ 1 y)) 2) (* (pow y 2) (pow (sin (/ 1 x)) 2))) 1/3) in (x y) around 0 3.040 * [taylor]: Taking taylor expansion of (pow (* (pow (sinh (/ 1 y)) 2) (* (pow y 2) (pow (sin (/ 1 x)) 2))) 1/3) in y 3.049 * [taylor]: Taking taylor expansion of (pow (* (pow (sinh (/ 1 y)) 2) (* (pow y 2) (pow (sin (/ 1 x)) 2))) 1/3) in y 3.067 * [taylor]: Taking taylor expansion of (pow (* (pow (sinh (/ 1 y)) 2) (* (pow y 2) (pow (sin (/ 1 x)) 2))) 1/3) in y 3.097 * [taylor]: Taking taylor expansion of (pow (* (pow (sinh (/ 1 y)) 2) (* (pow y 2) (pow (sin (/ 1 x)) 2))) 1/3) in y 3.098 * [approximate]: Approximating (* (pow (* (pow (sinh (/ -1 y)) 2) (* (pow (sin (/ -1 x)) 2) (pow y 2))) 1/3) (pow (cbrt -1) 2)) in (x y) around 0 3.110 * [taylor]: Taking taylor expansion of (* (pow (* (pow (sinh (/ -1 y)) 2) (* (pow (sin (/ -1 x)) 2) (pow y 2))) 1/3) (pow (cbrt -1) 2)) in y 3.125 * [taylor]: Taking taylor expansion of (* (pow (* (pow (sinh (/ -1 y)) 2) (* (pow (sin (/ -1 x)) 2) (pow y 2))) 1/3) (pow (cbrt -1) 2)) in y 3.146 * [taylor]: Taking taylor expansion of (* (pow (* (pow (sinh (/ -1 y)) 2) (* (pow (sin (/ -1 x)) 2) (pow y 2))) 1/3) (pow (cbrt -1) 2)) in y 3.182 * [taylor]: Taking taylor expansion of (* (pow (* (pow (sinh (/ -1 y)) 2) (* (pow (sin (/ -1 x)) 2) (pow y 2))) 1/3) (pow (cbrt -1) 2)) in y 3.183 * * * [progress]: simplifying candidates 3.184 * [simplify]: Simplifying using # : (log (cbrt (* (sin x) (/ (sinh y) y)))) (exp (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (sin x)) (cbrt (/ (sinh y) y)) (cbrt (* (sin x) (sinh y))) (cbrt y) (* (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (cbrt (* (sin x) (/ (sinh y) y))))) (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (* (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (log (cbrt (* (sin x) (/ (sinh y) y)))) (exp (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (sin x)) (cbrt (/ (sinh y) y)) (cbrt (* (sin x) (sinh y))) (cbrt y) (* (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (cbrt (* (sin x) (/ (sinh y) y))))) (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (* (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (log (cbrt (* (sin x) (/ (sinh y) y)))) (exp (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (sin x)) (cbrt (/ (sinh y) y)) (cbrt (* (sin x) (sinh y))) (cbrt y) (* (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (cbrt (* (sin x) (/ (sinh y) y))))) (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (* (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (+ 1/3 1/3) (+ 1 1) (* (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y))) (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y)))) (+ 1 1) (+ (log (cbrt (* (sin x) (/ (sinh y) y)))) (log (cbrt (* (sin x) (/ (sinh y) y))))) (log (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))) (exp (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))) (* (* (sin x) (/ (sinh y) y)) (* (sin x) (/ (sinh y) y))) (* (cbrt (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))) (cbrt (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y)))))) (cbrt (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))) (* (* (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y)))) (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))) (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))) (sqrt (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))) (sqrt (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))) (* (cbrt (* (sin x) (sinh y))) (cbrt (* (sin x) (sinh y)))) (* (cbrt y) (cbrt y)) (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (* (* (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (cbrt (* (sin x) (/ (sinh y) y))))) (* (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (cbrt (* (sin x) (/ (sinh y) y)))))) (* (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (cbrt (* (sin x) (/ (sinh y) y))))) (* (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y))))) (* (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y))))) (* 1 1) (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y)))) (* (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y))))) (* (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y))))) (* 2 1/3) (* 2 1) (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (sin x))) (* (cbrt (* (sin x) (/ (sinh y) y))) (* (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (cbrt (* (sin x) (/ (sinh y) y)))))) (* (cbrt (* (sin x) (/ (sinh y) y))) (sqrt (cbrt (* (sin x) (/ (sinh y) y))))) (* (cbrt (* (sin x) (/ (sinh y) y))) 1) (* (cbrt (/ (sinh y) y)) (cbrt (* (sin x) (/ (sinh y) y)))) (* (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (* (sin x) (/ (sinh y) y)))) (* (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (* (sin x) (/ (sinh y) y)))) (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y)))) (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (sinh y)))) (* (cbrt (* (sin x) (sinh y))) (cbrt (* (sin x) (/ (sinh y) y)))) (- (+ (pow x 1/3) (* 1/18 (* (pow x 1/3) (pow y 2)))) (* 1/18 (pow (pow x 7) 1/3))) (exp (* 1/3 (+ (log (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (exp (neg y)) (sin x))))) (log (/ 1 y))))) (* (cbrt -1) (exp (* 1/3 (+ (log (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (sin x) (exp (* -1 y)))))) (log (/ -1 y)))))) (- (+ (pow x 1/3) (* 1/18 (* (pow x 1/3) (pow y 2)))) (* 1/18 (pow (pow x 7) 1/3))) (exp (* 1/3 (+ (log (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (exp (neg y)) (sin x))))) (log (/ 1 y))))) (* (cbrt -1) (exp (* 1/3 (+ (log (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (sin x) (exp (* -1 y)))))) (log (/ -1 y)))))) (- (+ (pow x 1/3) (* 1/18 (* (pow x 1/3) (pow y 2)))) (* 1/18 (pow (pow x 7) 1/3))) (exp (* 1/3 (+ (log (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (exp (neg y)) (sin x))))) (log (/ 1 y))))) (* (cbrt -1) (exp (* 1/3 (+ (log (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (sin x) (exp (* -1 y)))))) (log (/ -1 y)))))) (- (+ (pow x 2/3) (* 1/9 (* (pow (pow x 2) 1/3) (pow y 2)))) (* 1/9 (pow (pow x 8) 1/3))) (exp (* 1/3 (+ (log (* 1/4 (* (pow (- (exp y) (exp (neg y))) 2) (pow (sin x) 2)))) (* 2 (log (/ 1 y)))))) (* (pow (cbrt -1) 2) (exp (* 1/3 (+ (log (* 1/4 (* (pow (- (exp y) (exp (* -1 y))) 2) (pow (sin x) 2)))) (* 2 (log (/ -1 y))))))) 3.189 * * [simplify]: iteration 0 : 310 enodes (cost 728 ) 3.194 * * [simplify]: iteration 1 : 1070 enodes (cost 645 ) 3.215 * * [simplify]: iteration 2 : 4929 enodes (cost 561 ) 3.323 * * [simplify]: iteration 3 : 5002 enodes (cost 561 ) 3.327 * [simplify]: Simplified to: (log (cbrt (* (sin x) (/ (sinh y) y)))) (exp (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (sin x)) (cbrt (/ (sinh y) y)) (cbrt (* (sin x) (sinh y))) (cbrt y) (* (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (cbrt (* (sin x) (/ (sinh y) y))))) (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (* (sin x) (/ (sinh y) y)) (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (log (cbrt (* (sin x) (/ (sinh y) y)))) (exp (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (sin x)) (cbrt (/ (sinh y) y)) (cbrt (* (sin x) (sinh y))) (cbrt y) (* (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (cbrt (* (sin x) (/ (sinh y) y))))) (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (* (sin x) (/ (sinh y) y)) (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (log (cbrt (* (sin x) (/ (sinh y) y)))) (exp (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (sin x)) (cbrt (/ (sinh y) y)) (cbrt (* (sin x) (sinh y))) (cbrt y) (* (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (cbrt (* (sin x) (/ (sinh y) y))))) (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (* (sin x) (/ (sinh y) y)) (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) 2/3 2 (pow (cbrt (* (sin x) (/ (sinh y) y))) 6) (pow (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) 4) 2 (* 2 (log (cbrt (* (sin x) (/ (sinh y) y))))) (* 2 (log (cbrt (* (sin x) (/ (sinh y) y))))) (pow (exp 1) (pow (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) 4)) (pow (cbrt (* (sin x) (/ (sinh y) y))) 6) (* (cbrt (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))) (cbrt (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y)))))) (cbrt (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))) (pow (cbrt (* (sin x) (/ (sinh y) y))) 6) (fabs (cbrt (* (sin x) (/ (sinh y) y)))) (fabs (cbrt (* (sin x) (/ (sinh y) y)))) (* (cbrt (* (sin x) (sinh y))) (cbrt (* (sin x) (sinh y)))) (* (cbrt y) (cbrt y)) (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (pow (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) 4) (* (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) (cbrt (cbrt (* (sin x) (/ (sinh y) y))))) (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))) 1 (pow (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) 4) (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))) 2/3 2 (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (sin x))) (* (pow (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) 4) (cbrt (cbrt (* (sin x) (/ (sinh y) y))))) (pow (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) 3) (cbrt (* (sin x) (/ (sinh y) y))) (* (cbrt (/ (sinh y) y)) (cbrt (* (sin x) (/ (sinh y) y)))) (pow (cbrt (cbrt (* (sin x) (/ (sinh y) y)))) 4) (pow (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) 3) (pow (sqrt (cbrt (* (sin x) (/ (sinh y) y)))) 4) (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (sinh y)))) (* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (sinh y)))) (+ (* 1/18 (- (* (pow x 1/3) (pow y 2)) (pow (pow x 7) 1/3))) (pow x 1/3)) (* (pow (/ 1 y) 1/3) (pow (* (* 1/2 (sin x)) (- (exp y) (exp (* -1 y)))) 1/3)) (* (* (cbrt -1) (pow (* (* 1/2 (sin x)) (- (exp y) (exp (* -1 y)))) 1/3)) (pow (/ -1 y) 1/3)) (+ (* 1/18 (- (* (pow x 1/3) (pow y 2)) (pow (pow x 7) 1/3))) (pow x 1/3)) (* (pow (/ 1 y) 1/3) (pow (* (* 1/2 (sin x)) (- (exp y) (exp (* -1 y)))) 1/3)) (* (* (cbrt -1) (pow (* (* 1/2 (sin x)) (- (exp y) (exp (* -1 y)))) 1/3)) (pow (/ -1 y) 1/3)) (+ (* 1/18 (- (* (pow x 1/3) (pow y 2)) (pow (pow x 7) 1/3))) (pow x 1/3)) (* (pow (/ 1 y) 1/3) (pow (* (* 1/2 (sin x)) (- (exp y) (exp (* -1 y)))) 1/3)) (* (* (cbrt -1) (pow (* (* 1/2 (sin x)) (- (exp y) (exp (* -1 y)))) 1/3)) (pow (/ -1 y) 1/3)) (+ (* 1/9 (- (* (pow (pow x 2) 1/3) (pow y 2)) (pow (pow x 8) 1/3))) (pow x 2/3)) (* (pow (/ 1 y) 2/3) (pow (* 1/4 (* (pow (- (exp y) (exp (* -1 y))) 2) (pow (sin x) 2))) 1/3)) (* (* (pow (cbrt -1) 2) (pow (* 1/4 (* (pow (- (exp y) (exp (* -1 y))) 2) (pow (sin x) 2))) 1/3)) (pow (/ -1 y) 2/3)) 3.327 * * * [progress]: adding candidates to table 3.560 * * [progress]: iteration 4 / 4 3.560 * * * [progress]: picking best candidate 3.568 * * * * [pick]: Picked # 3.568 * * * [progress]: localizing error 3.585 * * * [progress]: generating rewritten candidates 3.585 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.600 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 3.601 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 3.603 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.613 * * * [progress]: generating series expansions 3.613 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.613 * [approximate]: Approximating (* (/ (* (sin x) (fabs (pow (sinh y) 1/3))) y) (pow (pow (sinh y) 2) 1/3)) in (x y) around 0 3.623 * [taylor]: Taking taylor expansion of (* (/ (* (sin x) (fabs (pow (sinh y) 1/3))) y) (pow (pow (sinh y) 2) 1/3)) in y 3.634 * [taylor]: Taking taylor expansion of (* (/ (* (sin x) (fabs (pow (sinh y) 1/3))) y) (pow (pow (sinh y) 2) 1/3)) in y 3.657 * [taylor]: Taking taylor expansion of (* (/ (* (sin x) (fabs (pow (sinh y) 1/3))) y) (pow (pow (sinh y) 2) 1/3)) in y 3.675 * [approximate]: Approximating (* (pow (pow (sinh (/ 1 y)) 2) 1/3) (* (fabs (pow (sinh (/ 1 y)) 1/3)) (* y (sin (/ 1 x))))) in (x y) around 0 3.680 * [taylor]: Taking taylor expansion of (* (pow (pow (sinh (/ 1 y)) 2) 1/3) (* (fabs (pow (sinh (/ 1 y)) 1/3)) (* y (sin (/ 1 x))))) in y 3.688 * [taylor]: Taking taylor expansion of (* (pow (pow (sinh (/ 1 y)) 2) 1/3) (* (fabs (pow (sinh (/ 1 y)) 1/3)) (* y (sin (/ 1 x))))) in y 3.704 * [taylor]: Taking taylor expansion of (* (pow (pow (sinh (/ 1 y)) 2) 1/3) (* (fabs (pow (sinh (/ 1 y)) 1/3)) (* y (sin (/ 1 x))))) in y 3.726 * [taylor]: Taking taylor expansion of (* (pow (pow (sinh (/ 1 y)) 2) 1/3) (* (fabs (pow (sinh (/ 1 y)) 1/3)) (* y (sin (/ 1 x))))) in y 3.727 * [approximate]: Approximating (* (sqrt (* -1 (* (pow (sinh (/ -1 y)) 1/3) y))) (* (sin (/ -1 x)) (* (fabs (pow (sinh (/ -1 y)) 1/3)) (sqrt (* -1 (* (sinh (/ -1 y)) y)))))) in (x y) around 0 3.767 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 (* (pow (sinh (/ -1 y)) 1/3) y))) (* (sin (/ -1 x)) (* (fabs (pow (sinh (/ -1 y)) 1/3)) (sqrt (* -1 (* (sinh (/ -1 y)) y)))))) in y 3.778 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 (* (pow (sinh (/ -1 y)) 1/3) y))) (* (sin (/ -1 x)) (* (fabs (pow (sinh (/ -1 y)) 1/3)) (sqrt (* -1 (* (sinh (/ -1 y)) y)))))) in y 3.798 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 (* (pow (sinh (/ -1 y)) 1/3) y))) (* (sin (/ -1 x)) (* (fabs (pow (sinh (/ -1 y)) 1/3)) (sqrt (* -1 (* (sinh (/ -1 y)) y)))))) in y 3.846 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 (* (pow (sinh (/ -1 y)) 1/3) y))) (* (sin (/ -1 x)) (* (fabs (pow (sinh (/ -1 y)) 1/3)) (sqrt (* -1 (* (sinh (/ -1 y)) y)))))) in y 3.920 * [taylor]: Taking taylor expansion of (* (sqrt (* -1 (* (pow (sinh (/ -1 y)) 1/3) y))) (* (sin (/ -1 x)) (* (fabs (pow (sinh (/ -1 y)) 1/3)) (sqrt (* -1 (* (sinh (/ -1 y)) y)))))) in y 4.015 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 4.015 * [approximate]: Approximating (pow (sinh y) 1/3) in (y) around 0 4.078 * [approximate]: Approximating (pow (sinh (/ 1 y)) 1/3) in (y) around 0 4.146 * [approximate]: Approximating (pow (sinh (/ -1 y)) 1/3) in (y) around 0 4.211 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 4.211 * [approximate]: Approximating (pow (sinh y) 1/3) in (y) around 0 4.278 * [approximate]: Approximating (pow (sinh (/ 1 y)) 1/3) in (y) around 0 4.338 * [approximate]: Approximating (pow (sinh (/ -1 y)) 1/3) in (y) around 0 4.404 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.404 * [approximate]: Approximating (* (sqrt (/ (sinh y) y)) (* (fabs (pow (sinh y) 1/3)) (sin x))) in (x y) around 0 4.421 * [taylor]: Taking taylor expansion of (* (sqrt (/ (sinh y) y)) (* (fabs (pow (sinh y) 1/3)) (sin x))) in y 4.429 * [taylor]: Taking taylor expansion of (* (sqrt (/ (sinh y) y)) (* (fabs (pow (sinh y) 1/3)) (sin x))) in y 4.447 * [taylor]: Taking taylor expansion of (* (sqrt (/ (sinh y) y)) (* (fabs (pow (sinh y) 1/3)) (sin x))) in y 4.457 * [taylor]: Taking taylor expansion of (* (sqrt (/ (sinh y) y)) (* (fabs (pow (sinh y) 1/3)) (sin x))) in y 4.484 * [approximate]: Approximating (* (sqrt (* (sinh (/ 1 y)) y)) (* (fabs (pow (sinh (/ 1 y)) 1/3)) (sin (/ 1 x)))) in (x y) around 0 4.497 * [taylor]: Taking taylor expansion of (* (sqrt (* (sinh (/ 1 y)) y)) (* (fabs (pow (sinh (/ 1 y)) 1/3)) (sin (/ 1 x)))) in y 4.509 * [taylor]: Taking taylor expansion of (* (sqrt (* (sinh (/ 1 y)) y)) (* (fabs (pow (sinh (/ 1 y)) 1/3)) (sin (/ 1 x)))) in y 4.521 * [taylor]: Taking taylor expansion of (* (sqrt (* (sinh (/ 1 y)) y)) (* (fabs (pow (sinh (/ 1 y)) 1/3)) (sin (/ 1 x)))) in y 4.543 * [taylor]: Taking taylor expansion of (* (sqrt (* (sinh (/ 1 y)) y)) (* (fabs (pow (sinh (/ 1 y)) 1/3)) (sin (/ 1 x)))) in y 4.574 * [approximate]: Approximating (* (sin (/ -1 x)) (* (fabs (pow (sinh (/ -1 y)) 1/3)) (sqrt (* -1 (* (sinh (/ -1 y)) y))))) in (x y) around 0 4.594 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (* (fabs (pow (sinh (/ -1 y)) 1/3)) (sqrt (* -1 (* (sinh (/ -1 y)) y))))) in y 4.598 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (* (fabs (pow (sinh (/ -1 y)) 1/3)) (sqrt (* -1 (* (sinh (/ -1 y)) y))))) in y 4.609 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (* (fabs (pow (sinh (/ -1 y)) 1/3)) (sqrt (* -1 (* (sinh (/ -1 y)) y))))) in y 4.632 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (* (fabs (pow (sinh (/ -1 y)) 1/3)) (sqrt (* -1 (* (sinh (/ -1 y)) y))))) in y 4.667 * * * [progress]: simplifying candidates 4.669 * [simplify]: Simplifying using # : (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y))) (+ (+ (+ (log (sin x)) (log (sqrt (/ (sinh y) y)))) (log (fabs (cbrt (sinh y))))) (log (sqrt (/ (cbrt (sinh y)) y)))) (+ (+ (log (* (sin x) (sqrt (/ (sinh y) y)))) (log (fabs (cbrt (sinh y))))) (log (sqrt (/ (cbrt (sinh y)) y)))) (+ (log (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y))))) (log (sqrt (/ (cbrt (sinh y)) y)))) (log (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y)))) (exp (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y)))) (* (* (* (* (* (sin x) (sin x)) (sin x)) (* (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))) (* (* (fabs (cbrt (sinh y))) (fabs (cbrt (sinh y)))) (fabs (cbrt (sinh y))))) (* (* (sqrt (/ (cbrt (sinh y)) y)) (sqrt (/ (cbrt (sinh y)) y))) (sqrt (/ (cbrt (sinh y)) y)))) (* (* (* (* (* (sin x) (sqrt (/ (sinh y) y))) (* (sin x) (sqrt (/ (sinh y) y)))) (* (sin x) (sqrt (/ (sinh y) y)))) (* (* (fabs (cbrt (sinh y))) (fabs (cbrt (sinh y)))) (fabs (cbrt (sinh y))))) (* (* (sqrt (/ (cbrt (sinh y)) y)) (sqrt (/ (cbrt (sinh y)) y))) (sqrt (/ (cbrt (sinh y)) y)))) (* (* (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y))))) (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y))))) (* (* (sqrt (/ (cbrt (sinh y)) y)) (sqrt (/ (cbrt (sinh y)) y))) (sqrt (/ (cbrt (sinh y)) y)))) (* (cbrt (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y)))) (cbrt (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y))))) (cbrt (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y)))) (* (* (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y)))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y)))) (sqrt (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y)))) (sqrt (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y)))) (* (* (* (sin x) (sqrt (sinh y))) (fabs (cbrt (sinh y)))) (sqrt (cbrt (sinh y)))) (* (sqrt y) (sqrt y)) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (* (cbrt (sqrt (/ (cbrt (sinh y)) y))) (cbrt (sqrt (/ (cbrt (sinh y)) y))))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (* (cbrt (/ (cbrt (sinh y)) y)) (cbrt (/ (cbrt (sinh y)) y))))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (sqrt (/ (cbrt (sinh y)) y)))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (* (cbrt (sinh y)) (cbrt (sinh y)))) (* (cbrt y) (cbrt y))))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (* (cbrt (sinh y)) (cbrt (sinh y)))) (sqrt y)))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (* (cbrt (sinh y)) (cbrt (sinh y)))) 1))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sqrt (sinh y))) (* (cbrt y) (cbrt y))))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sqrt (sinh y))) (sqrt y)))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sqrt (sinh y))) 1))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt 1) (* (cbrt y) (cbrt y))))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt 1) (sqrt y)))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt 1) 1))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (* (cbrt (cbrt (sinh y))) (cbrt (cbrt (sinh y)))) (* (cbrt y) (cbrt y))))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (* (cbrt (cbrt (sinh y))) (cbrt (cbrt (sinh y)))) (sqrt y)))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (* (cbrt (cbrt (sinh y))) (cbrt (cbrt (sinh y)))) 1))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (sqrt (cbrt (sinh y))) (* (cbrt y) (cbrt y))))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (sqrt (cbrt (sinh y))) (sqrt y)))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (sqrt (cbrt (sinh y))) 1))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ 1 (* (cbrt y) (cbrt y))))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ 1 (sqrt y)))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ 1 1))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt 1)) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (cbrt (sinh y)))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (sqrt (/ (cbrt (sinh y)) y)))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) 1) (* (fabs (cbrt (sinh y))) (sqrt (/ (cbrt (sinh y)) y))) (* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (cbrt (sinh y)))) (* (* (* (sin x) (sqrt (sinh y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y))) (log (cbrt (sinh y))) (exp (cbrt (sinh y))) (cbrt (* (cbrt (sinh y)) (cbrt (sinh y)))) (cbrt (cbrt (sinh y))) (cbrt (sqrt (sinh y))) (cbrt (sqrt (sinh y))) (cbrt 1) (cbrt (sinh y)) (cbrt (- (exp y) (exp (neg y)))) (cbrt 2) (* (cbrt (cbrt (sinh y))) (cbrt (cbrt (sinh y)))) (cbrt (cbrt (sinh y))) (* (* (cbrt (sinh y)) (cbrt (sinh y))) (cbrt (sinh y))) (sqrt (cbrt 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(pow y 4)) (pow (* 1/4 (pow (- (exp y) (exp (* -1 y))) 2)) 1/3))) (* 3/4 (* (/ (* (pow NAN 6) (* (fabs (pow (sinh y) 1/3)) (* (pow (exp (* -1 y)) 2) (* (sin x) (exp y))))) (pow y 4)) (pow (* 1/2 (- (exp y) (exp (* -1 y)))) 1/3))))) (+ (+ (* (pow (* 1/2 (- (exp y) (exp (neg y)))) 1/3) (+ (* 1/4 (/ (* (pow NAN 6) (* (fabs (pow (sinh y) 1/3)) (* (sin x) (pow (exp y) 3)))) (pow y 4))) (* 1/2 (/ (* (pow NAN 2) (* (fabs (pow (sinh y) 1/3)) (* (sin x) (exp y)))) (pow y 2))))) (+ (* 1/4 (* (/ (* (pow NAN 6) (* (fabs (pow (sinh y) 1/3)) (* (pow (exp (* -1 y)) 2) (sin x)))) (pow y 4)) (pow (* 1/4 (pow (- (exp y) (exp (* -1 y))) 2)) 1/3))) (* 2 (* (/ (* (fabs (pow (sinh y) 1/3)) (* (exp (* -1 y)) (* (pow NAN 6) (* (sin x) (exp y))))) (pow y 4)) (pow 1/8 1/3))))) (* 1/2 (+ (* (/ (* (pow NAN 4) (* (fabs (pow (sinh y) 1/3)) (* (exp (* -1 y)) (* (sin x) (exp y))))) (pow y 3)) (pow (* 1/2 (- (exp y) (exp (* -1 y)))) 1/3)) (* (/ (* (pow NAN 4) (* (fabs (pow (sinh y) 1/3)) (* (exp (* -1 y)) (sin x)))) (pow y 3)) (pow (* 1/4 (pow (- (exp y) (exp (* -1 y))) 2)) 1/3)))))) (- (+ (* 1/18 (pow (pow y 7) 1/3)) (pow y 1/3)) (* 1/3240 (pow (pow y 13) 1/3))) (pow (* 1/2 (- (exp y) (exp (neg y)))) 1/3) (pow (* 1/2 (- (exp y) (exp (neg y)))) 1/3) (- (+ (* 1/18 (pow (pow y 7) 1/3)) (pow y 1/3)) (* 1/3240 (pow (pow y 13) 1/3))) (pow (* 1/2 (- (exp y) (exp (neg y)))) 1/3) (pow (* 1/2 (- (exp y) (exp (neg y)))) 1/3) (- (+ (* 1/6 (/ (* x (* (fabs (pow (sinh y) 1/3)) (* (pow y 2) (sqrt 1/2)))) (sqrt 2))) (* x (* (sqrt 2) (* (fabs (pow (sinh y) 1/3)) (sqrt 1/2))))) (* 1/6 (* (pow x 3) (* (sqrt 2) (* (fabs (pow (sinh y) 1/3)) (sqrt 1/2)))))) (- (- (+ (+ (/ (* (fabs (pow (sinh y) 1/3)) (* NAN (* (sin x) (* (exp y) (sqrt 1/2))))) y) (* 6 (/ (* (pow (exp (neg y)) 2) (* (pow NAN 5) (* (fabs (pow (sinh y) 1/3)) (* (sin x) (* (sqrt 1/2) (exp y)))))) (pow y 3)))) (* 2 (+ (/ (* (sin x) (* (pow NAN 5) (* (fabs (pow (sinh y) 1/3)) (* (pow (exp y) 3) (sqrt 1/2))))) (pow y 3)) (/ (* (exp (neg y)) (* (pow NAN 3) (* (fabs (pow (sinh y) 1/3)) (* (sin x) (* (sqrt 1/2) (exp y)))))) (pow y 2))))) (/ (* (fabs (pow (sinh y) 1/3)) (* (pow (exp (neg y)) 2) (* (pow NAN 3) (* (sin x) (sqrt 1/2))))) (pow y 2))) (+ (* 6 (/ (* (exp (neg y)) (* (pow NAN 5) (* (fabs (pow (sinh y) 1/3)) (* (sin x) (* (sqrt 1/2) (pow (exp y) 2)))))) (pow y 3))) (+ (* 2 (/ (* (fabs (pow (sinh y) 1/3)) (* (pow (exp (neg y)) 3) (* (pow NAN 5) (* (sin x) (sqrt 1/2))))) (pow y 3))) (+ (/ (* (sin x) (* (pow NAN 3) (* (fabs (pow (sinh y) 1/3)) (* (pow (exp y) 2) (sqrt 1/2))))) (pow y 2)) (/ (* (sin x) (* (exp (neg y)) (* NAN (* (fabs (pow (sinh y) 1/3)) (sqrt 1/2))))) y))))) (- (- (+ (+ (* 3/4 (/ (* (fabs (pow (sinh y) 1/3)) (* (pow NAN 5) (* (sin x) (* (exp y) (pow (exp (* -1 y)) 2))))) (pow y 3))) (* 1/2 (+ (/ (sin x) (/ (pow y 2) (* (* (pow NAN 3) (fabs (pow (sinh y) 1/3))) (exp (+ y (* -1 y)))))) (/ (* (sin x) (* NAN (* (fabs (pow (sinh y) 1/3)) (exp y)))) y)))) (* 1/4 (/ (* (sin x) (* (pow NAN 5) (* (fabs (pow (sinh y) 1/3)) (pow (exp y) 3)))) (pow y 3)))) (* 1/4 (+ (/ (* (fabs (pow (sinh y) 1/3)) (* (pow NAN 3) (* (sin x) (pow (exp y) 2)))) (pow y 2)) (/ (* (fabs (pow (sinh y) 1/3)) (* (pow NAN 3) (* (sin x) (pow (exp (* -1 y)) 2)))) (pow y 2))))) (+ (* 1/4 (/ (* (fabs (pow (sinh y) 1/3)) (* (pow NAN 5) (* (sin x) (pow (exp (* -1 y)) 3)))) (pow y 3))) (+ (* 1/2 (/ (* (sin x) (* NAN (* (fabs (pow (sinh y) 1/3)) (exp (* -1 y))))) y)) (* 3/4 (/ (* (fabs (pow (sinh y) 1/3)) (* (pow NAN 5) (* (sin x) (* (pow (exp y) 2) (exp (* -1 y)))))) (pow y 3)))))) 4.710 * * * [progress]: adding candidates to table 6.315 * [progress]: [Phase 3 of 3] Extracting. 6.315 * * [regime]: Finding splitpoints for: (# # # # #) 6.316 * * * [regime-changes]: Trying 5 branch expressions: ((/ (sinh y) y) (sin x) (* (sin x) (/ (sinh y) y)) y x) 6.316 * * * * [regimes]: Trying to branch on (/ (sinh y) y) from (# # # # #) 6.356 * * * * [regimes]: Trying to branch on (sin x) from (# # # # #) 6.407 * * * * [regimes]: Trying to branch on (* (sin x) (/ (sinh y) y)) from (# # # # #) 6.460 * * * * [regimes]: Trying to branch on y from (# # # # #) 6.505 * * * * [regimes]: Trying to branch on x from (# # # # #) 6.551 * * * [regime]: Found split indices: #