6.129 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.063 * * * [progress]: [2/2] Setting up program. 0.065 * [progress]: [Phase 2 of 3] Improving. 0.065 * [simplify]: Simplifying using # : (/ (* (sin x) (sinh y)) x) 0.065 * [simplify]: Sending expressions to egg_math: (/ (* (sin h0) (sinh h1)) h0) 0.067 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.069 * * [simplify]: iteration 1 : 32 enodes (cost 4 ) 0.070 * * [simplify]: iteration 2 : 68 enodes (cost 4 ) 0.072 * * [simplify]: iteration 3 : 146 enodes (cost 4 ) 0.074 * * [simplify]: iteration 4 : 292 enodes (cost 4 ) 0.078 * * [simplify]: iteration 5 : 556 enodes (cost 4 ) 0.085 * * [simplify]: iteration 6 : 1543 enodes (cost 4 ) 0.110 * * [simplify]: iteration 7 : 5001 enodes (cost 4 ) 0.110 * [simplify]: Simplified to: (/ (* (sin x) (sinh y)) x) 0.110 * * [progress]: iteration 1 / 4 0.110 * * * [progress]: picking best candidate 0.112 * * * * [pick]: Picked # 0.112 * * * [progress]: localizing error 0.118 * * * [progress]: generating rewritten candidates 0.118 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.131 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.144 * * * [progress]: generating series expansions 0.144 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.144 * [approximate]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in (x y) around 0 0.144 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 0.144 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in y 0.144 * [taylor]: Taking taylor expansion of (sin x) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [taylor]: Taking taylor expansion of (sinh y) in y 0.145 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 0.145 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in y 0.145 * [taylor]: Taking taylor expansion of (exp y) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (exp (- y)) in y 0.145 * [taylor]: Taking taylor expansion of (- y) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of 2 in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in x 0.149 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in x 0.149 * [taylor]: Taking taylor expansion of (sin x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (sinh y) in x 0.150 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 0.150 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in x 0.150 * [taylor]: Taking taylor expansion of (exp y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (exp (- y)) in x 0.150 * [taylor]: Taking taylor expansion of (- y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of 2 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in x 0.159 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in x 0.159 * [taylor]: Taking taylor expansion of (sin x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (sinh y) in x 0.160 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 0.160 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in x 0.161 * [taylor]: Taking taylor expansion of (exp y) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (exp (- y)) in x 0.161 * [taylor]: Taking taylor expansion of (- y) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of 2 in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (- (* 1/2 (exp y)) (* 1/2 (exp (- y)))) in y 0.166 * [taylor]: Taking taylor expansion of (* 1/2 (exp y)) in y 0.166 * [taylor]: Taking taylor expansion of 1/2 in y 0.166 * [taylor]: Taking taylor expansion of (exp y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (* 1/2 (exp (- y))) in y 0.166 * [taylor]: Taking taylor expansion of 1/2 in y 0.166 * [taylor]: Taking taylor expansion of (exp (- y)) in y 0.166 * [taylor]: Taking taylor expansion of (- y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of (- (* 1/12 (exp (- y))) (* 1/12 (exp y))) in y 0.193 * [taylor]: Taking taylor expansion of (* 1/12 (exp (- y))) in y 0.193 * [taylor]: Taking taylor expansion of 1/12 in y 0.194 * [taylor]: Taking taylor expansion of (exp (- y)) in y 0.194 * [taylor]: Taking taylor expansion of (- y) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of (* 1/12 (exp y)) in y 0.194 * [taylor]: Taking taylor expansion of 1/12 in y 0.194 * [taylor]: Taking taylor expansion of (exp y) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.207 * [approximate]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 0.207 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in y 0.207 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 0.207 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in y 0.207 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.208 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 2 in y 0.209 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in x 0.209 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in x 0.209 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 0.209 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in x 0.209 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in x 0.210 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of 2 in x 0.210 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in x 0.211 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in x 0.211 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 0.211 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in x 0.211 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.211 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in x 0.211 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.211 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of 2 in x 0.212 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (exp (/ 1 y)) (sin (/ 1 x)))) (* 1/2 (* (exp (- (/ 1 y))) (sin (/ 1 x))))) in y 0.217 * [taylor]: Taking taylor expansion of (* 1/2 (* (exp (/ 1 y)) (sin (/ 1 x)))) in y 0.217 * [taylor]: Taking taylor expansion of 1/2 in y 0.217 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (sin (/ 1 x))) in y 0.217 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of (* 1/2 (* (exp (- (/ 1 y))) (sin (/ 1 x)))) in y 0.218 * [taylor]: Taking taylor expansion of 1/2 in y 0.218 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 y))) (sin (/ 1 x))) in y 0.218 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.218 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [approximate]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in (x y) around 0 0.243 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 0.243 * [taylor]: Taking taylor expansion of -1 in y 0.243 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x)) in y 0.243 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in y 0.243 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 0.243 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in y 0.243 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.243 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.243 * [taylor]: Taking taylor expansion of -1 in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in y 0.243 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in y 0.243 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.243 * [taylor]: Taking taylor expansion of -1 in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.244 * [taylor]: Taking taylor expansion of 2 in y 0.244 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in y 0.244 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.244 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.244 * [taylor]: Taking taylor expansion of -1 in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [taylor]: Taking taylor expansion of x in y 0.244 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in x 0.244 * [taylor]: Taking taylor expansion of -1 in x 0.244 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x)) in x 0.244 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in x 0.244 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 0.244 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in x 0.244 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 0.244 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.244 * [taylor]: Taking taylor expansion of -1 in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.244 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in x 0.244 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in x 0.244 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.244 * [taylor]: Taking taylor expansion of -1 in x 0.244 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of 2 in x 0.245 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in x 0.245 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.245 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.245 * [taylor]: Taking taylor expansion of -1 in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in x 0.245 * [taylor]: Taking taylor expansion of -1 in x 0.245 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x)) in x 0.245 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in x 0.245 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 0.245 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in x 0.245 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 0.245 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.245 * [taylor]: Taking taylor expansion of -1 in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in x 0.245 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in x 0.245 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.245 * [taylor]: Taking taylor expansion of -1 in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of 2 in x 0.246 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in x 0.246 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.246 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.246 * [taylor]: Taking taylor expansion of -1 in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (exp (/ 1 y)) (sin (/ -1 x)))) (* 1/2 (* (sin (/ -1 x)) (exp (/ -1 y))))) in y 0.250 * [taylor]: Taking taylor expansion of (* 1/2 (* (exp (/ 1 y)) (sin (/ -1 x)))) in y 0.250 * [taylor]: Taking taylor expansion of 1/2 in y 0.250 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (sin (/ -1 x))) in y 0.250 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.250 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.250 * [taylor]: Taking taylor expansion of -1 in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (/ -1 x)) (exp (/ -1 y)))) in y 0.250 * [taylor]: Taking taylor expansion of 1/2 in y 0.250 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (exp (/ -1 y))) in y 0.250 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.250 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.250 * [taylor]: Taking taylor expansion of -1 in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.251 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.251 * [taylor]: Taking taylor expansion of -1 in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.267 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.267 * [approximate]: Taking taylor expansion of (* (sin x) (sinh y)) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in y 0.267 * [taylor]: Taking taylor expansion of (sin x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of (sinh y) in y 0.267 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 0.267 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in y 0.267 * [taylor]: Taking taylor expansion of (exp y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (exp (- y)) in y 0.267 * [taylor]: Taking taylor expansion of (- y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of 2 in y 0.270 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in x 0.270 * [taylor]: Taking taylor expansion of (sin x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (sinh y) in x 0.270 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 0.270 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in x 0.270 * [taylor]: Taking taylor expansion of (exp y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (exp (- y)) in x 0.270 * [taylor]: Taking taylor expansion of (- y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of 2 in x 0.270 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in x 0.270 * [taylor]: Taking taylor expansion of (sin x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (sinh y) in x 0.270 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 0.270 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in x 0.270 * [taylor]: Taking taylor expansion of (exp y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (exp (- y)) in x 0.270 * [taylor]: Taking taylor expansion of (- y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of 2 in x 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of (- (* 1/2 (exp y)) (* 1/2 (exp (- y)))) in y 0.278 * [taylor]: Taking taylor expansion of (* 1/2 (exp y)) in y 0.278 * [taylor]: Taking taylor expansion of 1/2 in y 0.278 * [taylor]: Taking taylor expansion of (exp y) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of (* 1/2 (exp (- y))) in y 0.278 * [taylor]: Taking taylor expansion of 1/2 in y 0.278 * [taylor]: Taking taylor expansion of (exp (- y)) in y 0.278 * [taylor]: Taking taylor expansion of (- y) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of (- (* 1/12 (exp (- y))) (* 1/12 (exp y))) in y 0.293 * [taylor]: Taking taylor expansion of (* 1/12 (exp (- y))) in y 0.293 * [taylor]: Taking taylor expansion of 1/12 in y 0.293 * [taylor]: Taking taylor expansion of (exp (- y)) in y 0.293 * [taylor]: Taking taylor expansion of (- y) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (* 1/12 (exp y)) in y 0.294 * [taylor]: Taking taylor expansion of 1/12 in y 0.294 * [taylor]: Taking taylor expansion of (exp y) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.301 * [approximate]: Taking taylor expansion of (* (sinh (/ 1 y)) (sin (/ 1 x))) in (x y) around 0 0.301 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (sin (/ 1 x))) in y 0.301 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in y 0.301 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 0.302 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in y 0.302 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of 2 in y 0.303 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (sin (/ 1 x))) in x 0.303 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in x 0.303 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 0.303 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in x 0.303 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in x 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of 2 in x 0.303 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (sin (/ 1 x))) in x 0.304 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in x 0.304 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 0.304 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in x 0.304 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in x 0.304 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of 2 in x 0.304 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (/ 1 x)) (- (exp (/ 1 y)) (exp (- (/ 1 y)))))) in y 0.305 * [taylor]: Taking taylor expansion of 1/2 in y 0.305 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (- (exp (/ 1 y)) (exp (- (/ 1 y))))) in y 0.305 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in y 0.305 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.305 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.323 * [approximate]: Taking taylor expansion of (* (sinh (/ -1 y)) (sin (/ -1 x))) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (sin (/ -1 x))) in y 0.323 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in y 0.323 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 0.323 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in y 0.323 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.323 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.323 * [taylor]: Taking taylor expansion of -1 in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in y 0.323 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in y 0.323 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.323 * [taylor]: Taking taylor expansion of -1 in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 2 in y 0.324 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.324 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.324 * [taylor]: Taking taylor expansion of -1 in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (sin (/ -1 x))) in x 0.324 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in x 0.324 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 0.324 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in x 0.324 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 0.324 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in x 0.324 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in x 0.324 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of 2 in x 0.325 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.325 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (sin (/ -1 x))) in x 0.325 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in x 0.325 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 0.325 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in x 0.325 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 0.325 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in x 0.325 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in x 0.325 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.325 * [taylor]: Taking taylor expansion of -1 in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of 2 in x 0.326 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.326 * [taylor]: Taking taylor expansion of -1 in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (/ -1 x)) (- (exp (/ -1 y)) (exp (/ 1 y))))) in y 0.326 * [taylor]: Taking taylor expansion of 1/2 in y 0.326 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (- (exp (/ -1 y)) (exp (/ 1 y)))) in y 0.326 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.326 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.326 * [taylor]: Taking taylor expansion of -1 in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (/ 1 y))) in y 0.326 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.326 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.326 * [taylor]: Taking taylor expansion of -1 in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.344 * * * [progress]: simplifying candidates 0.344 * [simplify]: Simplifying using # : (expm1 (/ (* (sin x) (sinh y)) x)) (log1p (/ (* (sin x) (sinh y)) x)) (- (+ (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)) (- (* (sin x) (sinh y))) (- 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) (expm1 (* (sin x) (sinh y))) (log1p (* (sin x) (sinh y))) (* (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 (- y)))) (- (+ (* 1/6 (pow y 3)) y) (* 1/6 (* (pow x 2) y))) (/ (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (exp (- 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 (- y))) (sin x))) (* 1/2 (* (- (exp y) (exp (* -1 y))) (sin x))) 0.344 * [simplify]: Sending expressions to egg_math: (expm1 (/ (* (sin h0) (sinh h1)) h0)) (log1p (/ (* (sin h0) (sinh h1)) h0)) (- (+ (log (sin h0)) (log (sinh h1))) (log h0)) (- (log (* (sin h0) (sinh h1))) (log h0)) (log (/ (* (sin h0) (sinh h1)) h0)) (exp (/ (* (sin h0) (sinh h1)) h0)) (/ (* (* (* (sin h0) (sin h0)) (sin h0)) (* (* (sinh h1) (sinh h1)) (sinh h1))) (* (* h0 h0) h0)) (/ (* (* (* (sin h0) (sinh h1)) (* (sin h0) (sinh h1))) (* (sin h0) (sinh h1))) (* (* h0 h0) h0)) (* (cbrt (/ (* (sin h0) (sinh h1)) h0)) (cbrt (/ (* (sin h0) (sinh h1)) h0))) (cbrt (/ (* (sin h0) (sinh h1)) h0)) (* (* (/ (* (sin h0) (sinh h1)) h0) (/ (* (sin h0) (sinh h1)) h0)) (/ (* (sin h0) (sinh h1)) h0)) (sqrt (/ (* (sin h0) (sinh h1)) h0)) (sqrt (/ (* (sin h0) (sinh h1)) h0)) (- (* (sin h0) (sinh h1))) (- h0) (/ (sin h0) (* (cbrt h0) (cbrt h0))) (/ (sinh h1) (cbrt h0)) (/ (sin h0) (sqrt h0)) (/ (sinh h1) (sqrt h0)) (/ (sin h0) 1) (/ (sinh h1) h0) (/ 1 h0) (/ h0 (* (sin h0) (sinh h1))) (/ (* (sin h0) (sinh h1)) (* (cbrt h0) (cbrt h0))) (/ (* (sin h0) (sinh h1)) (sqrt h0)) (/ (* (sin h0) (sinh h1)) 1) (/ h0 (sinh h1)) (* h0 2) (expm1 (* (sin h0) (sinh h1))) (log1p (* (sin h0) (sinh h1))) (* (sin h0) (sinh h1)) (+ (log (sin h0)) (log (sinh h1))) (log (* (sin h0) (sinh h1))) (exp (* (sin h0) (sinh h1))) (* (* (* (sin h0) (sin h0)) (sin h0)) (* (* (sinh h1) (sinh h1)) (sinh h1))) (* (cbrt (* (sin h0) (sinh h1))) (cbrt (* (sin h0) (sinh h1)))) (cbrt (* (sin h0) (sinh h1))) (* (* (* (sin h0) (sinh h1)) (* (sin h0) (sinh h1))) (* (sin h0) (sinh h1))) (sqrt (* (sin h0) (sinh h1))) (sqrt (* (sin h0) (sinh h1))) (* (sqrt (sin h0)) (sqrt (sinh h1))) (* (sqrt (sin h0)) (sqrt (sinh h1))) (* (sin h0) (* (cbrt (sinh h1)) (cbrt (sinh h1)))) (* (sin h0) (sqrt (sinh h1))) (* (sin h0) 1) (* (cbrt (sin h0)) (sinh h1)) (* (sqrt (sin h0)) (sinh h1)) (* (sin h0) (sinh h1)) (* (sin h0) (- (exp h1) (exp (- h1)))) (- (+ (* 1/6 (pow h1 3)) h1) (* 1/6 (* (pow h0 2) h1))) (/ (- (* 1/2 (* (sin h0) (exp h1))) (* 1/2 (* (exp (- h1)) (sin h0)))) h0) (* -1 (/ (- (* 1/2 (* (sin h0) (exp (* -1 h1)))) (* 1/2 (* (sin h0) (exp h1)))) h0)) (- (+ (* h0 h1) (* 1/6 (* h0 (pow h1 3)))) (* 1/6 (* (pow h0 3) h1))) (* 1/2 (* (- (exp h1) (exp (- h1))) (sin h0))) (* 1/2 (* (- (exp h1) (exp (* -1 h1))) (sin h0))) 0.349 * * [simplify]: iteration 0 : 271 enodes (cost 298 ) 0.354 * * [simplify]: iteration 1 : 1234 enodes (cost 252 ) 0.379 * * [simplify]: iteration 2 : 5001 enodes (cost 234 ) 0.381 * [simplify]: Simplified to: (expm1 (/ (* (sin x) (sinh y)) x)) (log1p (/ (* (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)) (- (* (sin x) (sinh y))) (- 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) (expm1 (* (sin x) (sinh y))) (log1p (* (sin x) (sinh y))) (* (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)) (fma (pow y 3) 1/6 (- y (* 1/6 (* (pow x 2) y)))) (/ (* (sin x) (sinh y)) x) (/ (* (sin x) (sinh y)) x) (fma y x (* 1/6 (- (* x (pow y 3)) (* (pow x 3) y)))) (* (sin x) (sinh y)) (* (sin x) (sinh y)) 0.381 * * * [progress]: adding candidates to table 0.480 * * [progress]: iteration 2 / 4 0.480 * * * [progress]: picking best candidate 0.490 * * * * [pick]: Picked # 0.490 * * * [progress]: localizing error 0.497 * * * [progress]: generating rewritten candidates 0.497 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.518 * * * [progress]: generating series expansions 0.518 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.518 * [approximate]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in (x y) around 0 0.518 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 0.518 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in y 0.518 * [taylor]: Taking taylor expansion of (sin x) in y 0.518 * [taylor]: Taking taylor expansion of x in y 0.518 * [taylor]: Taking taylor expansion of (sinh y) in y 0.518 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 0.518 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in y 0.518 * [taylor]: Taking taylor expansion of (exp y) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of (exp (- y)) in y 0.518 * [taylor]: Taking taylor expansion of (- y) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of 2 in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.522 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in x 0.522 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in x 0.522 * [taylor]: Taking taylor expansion of (sin x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (sinh y) in x 0.522 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 0.522 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in x 0.522 * [taylor]: Taking taylor expansion of (exp y) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [taylor]: Taking taylor expansion of (exp (- y)) in x 0.522 * [taylor]: Taking taylor expansion of (- y) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [taylor]: Taking taylor expansion of 2 in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in x 0.525 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in x 0.525 * [taylor]: Taking taylor expansion of (sin x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (sinh y) in x 0.525 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 0.525 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in x 0.525 * [taylor]: Taking taylor expansion of (exp y) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (exp (- y)) in x 0.525 * [taylor]: Taking taylor expansion of (- y) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of 2 in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (- (* 1/2 (exp y)) (* 1/2 (exp (- y)))) in y 0.529 * [taylor]: Taking taylor expansion of (* 1/2 (exp y)) in y 0.529 * [taylor]: Taking taylor expansion of 1/2 in y 0.529 * [taylor]: Taking taylor expansion of (exp y) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of (* 1/2 (exp (- y))) in y 0.529 * [taylor]: Taking taylor expansion of 1/2 in y 0.529 * [taylor]: Taking taylor expansion of (exp (- y)) in y 0.529 * [taylor]: Taking taylor expansion of (- y) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.546 * [taylor]: Taking taylor expansion of (- (* 1/12 (exp (- y))) (* 1/12 (exp y))) in y 0.546 * [taylor]: Taking taylor expansion of (* 1/12 (exp (- y))) in y 0.546 * [taylor]: Taking taylor expansion of 1/12 in y 0.546 * [taylor]: Taking taylor expansion of (exp (- y)) in y 0.546 * [taylor]: Taking taylor expansion of (- y) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.546 * [taylor]: Taking taylor expansion of (* 1/12 (exp y)) in y 0.546 * [taylor]: Taking taylor expansion of 1/12 in y 0.546 * [taylor]: Taking taylor expansion of (exp y) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.554 * [approximate]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in (x y) around 0 0.554 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 0.554 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in y 0.554 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 0.554 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in y 0.554 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.554 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of 2 in y 0.555 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.555 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.555 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in x 0.555 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in x 0.555 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 0.555 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in x 0.556 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in x 0.556 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.556 * [taylor]: Taking taylor expansion of y in x 0.556 * [taylor]: Taking taylor expansion of 2 in x 0.556 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.556 * [taylor]: Taking taylor expansion of x in x 0.556 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in x 0.556 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in x 0.556 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 0.556 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in x 0.556 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in x 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.557 * [taylor]: Taking taylor expansion of y in x 0.557 * [taylor]: Taking taylor expansion of 2 in x 0.557 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (exp (/ 1 y)) (sin (/ 1 x)))) (* 1/2 (* (exp (- (/ 1 y))) (sin (/ 1 x))))) in y 0.560 * [taylor]: Taking taylor expansion of (* 1/2 (* (exp (/ 1 y)) (sin (/ 1 x)))) in y 0.560 * [taylor]: Taking taylor expansion of 1/2 in y 0.560 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (sin (/ 1 x))) in y 0.560 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (* 1/2 (* (exp (- (/ 1 y))) (sin (/ 1 x)))) in y 0.561 * [taylor]: Taking taylor expansion of 1/2 in y 0.561 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 y))) (sin (/ 1 x))) in y 0.561 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.561 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.567 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.577 * [approximate]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in (x y) around 0 0.577 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 0.577 * [taylor]: Taking taylor expansion of -1 in y 0.577 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x)) in y 0.577 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in y 0.577 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 0.577 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in y 0.577 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.577 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.577 * [taylor]: Taking taylor expansion of -1 in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in y 0.577 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in y 0.577 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.577 * [taylor]: Taking taylor expansion of -1 in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of 2 in y 0.578 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in y 0.578 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.578 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.578 * [taylor]: Taking taylor expansion of -1 in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.578 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in x 0.578 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x)) in x 0.578 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in x 0.578 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 0.578 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in x 0.578 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 0.578 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.578 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in x 0.578 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in x 0.578 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.578 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of 2 in x 0.579 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in x 0.579 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.579 * [taylor]: Taking taylor expansion of -1 in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in x 0.579 * [taylor]: Taking taylor expansion of -1 in x 0.579 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x)) in x 0.579 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in x 0.579 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 0.579 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in x 0.579 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 0.579 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.579 * [taylor]: Taking taylor expansion of -1 in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in x 0.579 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in x 0.579 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.579 * [taylor]: Taking taylor expansion of -1 in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of 2 in x 0.580 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in x 0.580 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.580 * [taylor]: Taking taylor expansion of -1 in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of 0 in y 0.584 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (exp (/ 1 y)) (sin (/ -1 x)))) (* 1/2 (* (sin (/ -1 x)) (exp (/ -1 y))))) in y 0.584 * [taylor]: Taking taylor expansion of (* 1/2 (* (exp (/ 1 y)) (sin (/ -1 x)))) in y 0.584 * [taylor]: Taking taylor expansion of 1/2 in y 0.584 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (sin (/ -1 x))) in y 0.584 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.584 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.584 * [taylor]: Taking taylor expansion of -1 in y 0.584 * [taylor]: Taking taylor expansion of x in y 0.584 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (/ -1 x)) (exp (/ -1 y)))) in y 0.584 * [taylor]: Taking taylor expansion of 1/2 in y 0.584 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (exp (/ -1 y))) in y 0.584 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.584 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.584 * [taylor]: Taking taylor expansion of -1 in y 0.584 * [taylor]: Taking taylor expansion of x in y 0.585 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.585 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.585 * [taylor]: Taking taylor expansion of -1 in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of 0 in y 0.605 * [taylor]: Taking taylor expansion of 0 in y 0.605 * * * [progress]: simplifying candidates 0.606 * [simplify]: Simplifying using # : (expm1 (* (sin x) (/ (sinh y) x))) (log1p (* (sin x) (/ (sinh y) x))) (* (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)) (- (+ (* 1/6 (pow y 3)) y) (* 1/6 (* (pow x 2) y))) (/ (- (* 1/2 (* (sin x) (exp y))) (* 1/2 (* (exp (- y)) (sin x)))) x) (* -1 (/ (- (* 1/2 (* (sin x) (exp (* -1 y)))) (* 1/2 (* (sin x) (exp y)))) x)) 0.606 * [simplify]: Sending expressions to egg_math: (expm1 (* (sin h0) (/ (sinh h1) h0))) (log1p (* (sin h0) (/ (sinh h1) h0))) (* (sin h0) (/ (sinh h1) h0)) (+ (log (sin h0)) (- (log (sinh h1)) (log h0))) (+ (log (sin h0)) (log (/ (sinh h1) h0))) (log (* (sin h0) (/ (sinh h1) h0))) (exp (* (sin h0) (/ (sinh h1) h0))) (* (* (* (sin h0) (sin h0)) (sin h0)) (/ (* (* (sinh h1) (sinh h1)) (sinh h1)) (* (* h0 h0) h0))) (* (* (* (sin h0) (sin h0)) (sin h0)) (* (* (/ (sinh h1) h0) (/ (sinh h1) h0)) (/ (sinh h1) h0))) (* (cbrt (* (sin h0) (/ (sinh h1) h0))) (cbrt (* (sin h0) (/ (sinh h1) h0)))) (cbrt (* (sin h0) (/ (sinh h1) h0))) (* (* (* (sin h0) (/ (sinh h1) h0)) (* (sin h0) (/ (sinh h1) h0))) (* (sin h0) (/ (sinh h1) h0))) (sqrt (* (sin h0) (/ (sinh h1) h0))) (sqrt (* (sin h0) (/ (sinh h1) h0))) (* (sqrt (sin h0)) (sqrt (/ (sinh h1) h0))) (* (sqrt (sin h0)) (sqrt (/ (sinh h1) h0))) (* (sqrt (sin h0)) (/ (sqrt (sinh h1)) (sqrt h0))) (* (sqrt (sin h0)) (/ (sqrt (sinh h1)) (sqrt h0))) (* (sin h0) (* (cbrt (/ (sinh h1) h0)) (cbrt (/ (sinh h1) h0)))) (* (sin h0) (sqrt (/ (sinh h1) h0))) (* (sin h0) (/ (* (cbrt (sinh h1)) (cbrt (sinh h1))) (* (cbrt h0) (cbrt h0)))) (* (sin h0) (/ (* (cbrt (sinh h1)) (cbrt (sinh h1))) (sqrt h0))) (* (sin h0) (/ (* (cbrt (sinh h1)) (cbrt (sinh h1))) 1)) (* (sin h0) (/ (sqrt (sinh h1)) (* (cbrt h0) (cbrt h0)))) (* (sin h0) (/ (sqrt (sinh h1)) (sqrt h0))) (* (sin h0) (/ (sqrt (sinh h1)) 1)) (* (sin h0) (/ 1 (* (cbrt h0) (cbrt h0)))) (* (sin h0) (/ 1 (sqrt h0))) (* (sin h0) (/ 1 1)) (* (sin h0) 1) (* (sin h0) (sinh h1)) (* (cbrt (sin h0)) (/ (sinh h1) h0)) (* (sqrt (sin h0)) (/ (sinh h1) h0)) (* (sin h0) (/ (sinh h1) h0)) (* (sin h0) (sinh h1)) (- (+ (* 1/6 (pow h1 3)) h1) (* 1/6 (* (pow h0 2) h1))) (/ (- (* 1/2 (* (sin h0) (exp h1))) (* 1/2 (* (exp (- h1)) (sin h0)))) h0) (* -1 (/ (- (* 1/2 (* (sin h0) (exp (* -1 h1)))) (* 1/2 (* (sin h0) (exp h1)))) h0)) 0.610 * * [simplify]: iteration 0 : 252 enodes (cost 246 ) 0.615 * * [simplify]: iteration 1 : 1101 enodes (cost 213 ) 0.639 * * [simplify]: iteration 2 : 5001 enodes (cost 204 ) 0.640 * [simplify]: Simplified to: (expm1 (* (sin x) (/ (sinh y) x))) (log1p (* (sin x) (/ (sinh y) x))) (* (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)) (fma (pow y 3) 1/6 (- y (* 1/6 (* (pow x 2) y)))) (* (sin x) (/ (sinh y) x)) (* (sin x) (/ (sinh y) x)) 0.640 * * * [progress]: adding candidates to table 0.706 * * [progress]: iteration 3 / 4 0.706 * * * [progress]: picking best candidate 0.715 * * * * [pick]: Picked # 0.715 * * * [progress]: localizing error 0.722 * * * [progress]: generating rewritten candidates 0.722 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.739 * * * [progress]: generating series expansions 0.739 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.739 * [approximate]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in (x y) around 0 0.739 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 0.739 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in y 0.739 * [taylor]: Taking taylor expansion of (sin x) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [taylor]: Taking taylor expansion of (sinh y) in y 0.739 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 0.739 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in y 0.739 * [taylor]: Taking taylor expansion of (exp y) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of (exp (- y)) in y 0.739 * [taylor]: Taking taylor expansion of (- y) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of 2 in y 0.742 * [taylor]: Taking taylor expansion of x in y 0.742 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in x 0.742 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in x 0.742 * [taylor]: Taking taylor expansion of (sin x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (sinh y) in x 0.742 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 0.742 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in x 0.742 * [taylor]: Taking taylor expansion of (exp y) in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of (exp (- y)) in x 0.743 * [taylor]: Taking taylor expansion of (- y) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.743 * [taylor]: Taking taylor expansion of 2 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in x 0.749 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in x 0.749 * [taylor]: Taking taylor expansion of (sin x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of (sinh y) in x 0.750 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 0.750 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in x 0.750 * [taylor]: Taking taylor expansion of (exp y) in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of (exp (- y)) in x 0.750 * [taylor]: Taking taylor expansion of (- y) in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of 2 in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (- (* 1/2 (exp y)) (* 1/2 (exp (- y)))) in y 0.753 * [taylor]: Taking taylor expansion of (* 1/2 (exp y)) in y 0.753 * [taylor]: Taking taylor expansion of 1/2 in y 0.753 * [taylor]: Taking taylor expansion of (exp y) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of (* 1/2 (exp (- y))) in y 0.753 * [taylor]: Taking taylor expansion of 1/2 in y 0.753 * [taylor]: Taking taylor expansion of (exp (- y)) in y 0.753 * [taylor]: Taking taylor expansion of (- y) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.771 * [taylor]: Taking taylor expansion of (- (* 1/12 (exp (- y))) (* 1/12 (exp y))) in y 0.771 * [taylor]: Taking taylor expansion of (* 1/12 (exp (- y))) in y 0.771 * [taylor]: Taking taylor expansion of 1/12 in y 0.771 * [taylor]: Taking taylor expansion of (exp (- y)) in y 0.771 * [taylor]: Taking taylor expansion of (- y) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of (* 1/12 (exp y)) in y 0.771 * [taylor]: Taking taylor expansion of 1/12 in y 0.771 * [taylor]: Taking taylor expansion of (exp y) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.779 * [approximate]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in (x y) around 0 0.779 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 0.779 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in y 0.779 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 0.779 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in y 0.779 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.779 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.779 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of 2 in y 0.780 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in x 0.780 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in x 0.780 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 0.780 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in x 0.780 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in x 0.780 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.781 * [taylor]: Taking taylor expansion of 2 in x 0.781 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in x 0.781 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in x 0.781 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 0.781 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in x 0.781 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.781 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in x 0.782 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.782 * [taylor]: Taking taylor expansion of 2 in x 0.782 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of 0 in y 0.785 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (exp (/ 1 y)) (sin (/ 1 x)))) (* 1/2 (* (exp (- (/ 1 y))) (sin (/ 1 x))))) in y 0.785 * [taylor]: Taking taylor expansion of (* 1/2 (* (exp (/ 1 y)) (sin (/ 1 x)))) in y 0.785 * [taylor]: Taking taylor expansion of 1/2 in y 0.786 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (sin (/ 1 x))) in y 0.786 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.786 * [taylor]: Taking taylor expansion of (* 1/2 (* (exp (- (/ 1 y))) (sin (/ 1 x)))) in y 0.786 * [taylor]: Taking taylor expansion of 1/2 in y 0.786 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 y))) (sin (/ 1 x))) in y 0.786 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 0.786 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.787 * [taylor]: Taking taylor expansion of x in y 0.792 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.802 * [approximate]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in (x y) around 0 0.802 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 0.802 * [taylor]: Taking taylor expansion of -1 in y 0.802 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x)) in y 0.802 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in y 0.802 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 0.802 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in y 0.802 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.802 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.802 * [taylor]: Taking taylor expansion of -1 in y 0.802 * [taylor]: Taking taylor expansion of y in y 0.802 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in y 0.802 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in y 0.802 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.802 * [taylor]: Taking taylor expansion of -1 in y 0.802 * [taylor]: Taking taylor expansion of y in y 0.803 * [taylor]: Taking taylor expansion of 2 in y 0.803 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in y 0.803 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.803 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.803 * [taylor]: Taking taylor expansion of -1 in y 0.803 * [taylor]: Taking taylor expansion of x in y 0.803 * [taylor]: Taking taylor expansion of x in y 0.803 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in x 0.803 * [taylor]: Taking taylor expansion of -1 in x 0.803 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x)) in x 0.803 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in x 0.803 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 0.803 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in x 0.803 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 0.804 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.804 * [taylor]: Taking taylor expansion of -1 in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in x 0.804 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in x 0.804 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.804 * [taylor]: Taking taylor expansion of -1 in x 0.804 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of 2 in x 0.804 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in x 0.804 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.804 * [taylor]: Taking taylor expansion of -1 in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in x 0.804 * [taylor]: Taking taylor expansion of -1 in x 0.804 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x)) in x 0.804 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in x 0.804 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 0.805 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in x 0.805 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 0.805 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.805 * [taylor]: Taking taylor expansion of -1 in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.805 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in x 0.805 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in x 0.805 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.805 * [taylor]: Taking taylor expansion of -1 in x 0.805 * [taylor]: Taking taylor expansion of y in x 0.805 * [taylor]: Taking taylor expansion of 2 in x 0.805 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in x 0.805 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.805 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.805 * [taylor]: Taking taylor expansion of -1 in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.805 * [taylor]: Taking taylor expansion of x in x 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (exp (/ 1 y)) (sin (/ -1 x)))) (* 1/2 (* (sin (/ -1 x)) (exp (/ -1 y))))) in y 0.809 * [taylor]: Taking taylor expansion of (* 1/2 (* (exp (/ 1 y)) (sin (/ -1 x)))) in y 0.809 * [taylor]: Taking taylor expansion of 1/2 in y 0.809 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (sin (/ -1 x))) in y 0.809 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 0.809 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.810 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.810 * [taylor]: Taking taylor expansion of -1 in y 0.810 * [taylor]: Taking taylor expansion of x in y 0.810 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (/ -1 x)) (exp (/ -1 y)))) in y 0.810 * [taylor]: Taking taylor expansion of 1/2 in y 0.810 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (exp (/ -1 y))) in y 0.810 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 0.810 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.810 * [taylor]: Taking taylor expansion of -1 in y 0.810 * [taylor]: Taking taylor expansion of x in y 0.810 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 0.810 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.810 * [taylor]: Taking taylor expansion of -1 in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of 0 in y 0.826 * * * [progress]: simplifying candidates 0.827 * [simplify]: Simplifying using # : (expm1 (/ (sin x) (/ x (sinh y)))) (log1p (/ (sin x) (/ x (sinh y)))) (- (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)))) (- (sin x)) (- (/ 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 (- 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 (- 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 (- 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 (- y))))) (/ (/ x (sinh y)) (cbrt (sin x))) (/ (/ x (sinh y)) (sqrt (sin x))) (/ (/ x (sinh y)) (sin 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 (- y)) (sin x)))) x) (* -1 (/ (- (* 1/2 (* (sin x) (exp (* -1 y)))) (* 1/2 (* (sin x) (exp y)))) x)) 0.828 * [simplify]: Sending expressions to egg_math: (expm1 (/ (sin h0) (/ h0 (sinh h1)))) (log1p (/ (sin h0) (/ h0 (sinh h1)))) (- (log (sin h0)) (- (log h0) (log (sinh h1)))) (- (log (sin h0)) (log (/ h0 (sinh h1)))) (log (/ (sin h0) (/ h0 (sinh h1)))) (exp (/ (sin h0) (/ h0 (sinh h1)))) (/ (* (* (sin h0) (sin h0)) (sin h0)) (/ (* (* h0 h0) h0) (* (* (sinh h1) (sinh h1)) (sinh h1)))) (/ (* (* (sin h0) (sin h0)) (sin h0)) (* (* (/ h0 (sinh h1)) (/ h0 (sinh h1))) (/ h0 (sinh h1)))) (* (cbrt (/ (sin h0) (/ h0 (sinh h1)))) (cbrt (/ (sin h0) (/ h0 (sinh h1))))) (cbrt (/ (sin h0) (/ h0 (sinh h1)))) (* (* (/ (sin h0) (/ h0 (sinh h1))) (/ (sin h0) (/ h0 (sinh h1)))) (/ (sin h0) (/ h0 (sinh h1)))) (sqrt (/ (sin h0) (/ h0 (sinh h1)))) (sqrt (/ (sin h0) (/ h0 (sinh h1)))) (- (sin h0)) (- (/ h0 (sinh h1))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (* (cbrt (/ h0 (sinh h1))) (cbrt (/ h0 (sinh h1))))) (/ (cbrt (sin h0)) (cbrt (/ h0 (sinh h1)))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (sqrt (/ h0 (sinh h1)))) (/ (cbrt (sin h0)) (sqrt (/ h0 (sinh h1)))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (sinh h1)) (cbrt (sinh h1))))) (/ (cbrt (sin h0)) (/ (cbrt h0) (cbrt (sinh h1)))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (sinh h1)))) (/ (cbrt (sin h0)) (/ (cbrt h0) (sqrt (sinh h1)))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (/ (* (cbrt h0) (cbrt h0)) 1)) (/ (cbrt (sin h0)) (/ (cbrt h0) (sinh h1))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (/ (sqrt h0) (* (cbrt (sinh h1)) (cbrt (sinh h1))))) (/ (cbrt (sin h0)) (/ (sqrt h0) (cbrt (sinh h1)))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (/ (sqrt h0) (sqrt (sinh h1)))) (/ (cbrt (sin h0)) (/ (sqrt h0) (sqrt (sinh h1)))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (/ (sqrt h0) 1)) (/ (cbrt (sin h0)) (/ (sqrt h0) (sinh h1))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (/ 1 (* (cbrt (sinh h1)) (cbrt (sinh h1))))) (/ (cbrt (sin h0)) (/ h0 (cbrt (sinh h1)))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (/ 1 (sqrt (sinh h1)))) (/ (cbrt (sin h0)) (/ h0 (sqrt (sinh h1)))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (/ 1 1)) (/ (cbrt (sin h0)) (/ h0 (sinh h1))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) 1) (/ (cbrt (sin h0)) (/ h0 (sinh h1))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) h0) (/ (cbrt (sin h0)) (/ 1 (sinh h1))) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (/ h0 (- (exp h1) (exp (- h1))))) (/ (cbrt (sin h0)) 2) (/ (sqrt (sin h0)) (* (cbrt (/ h0 (sinh h1))) (cbrt (/ h0 (sinh h1))))) (/ (sqrt (sin h0)) (cbrt (/ h0 (sinh h1)))) (/ (sqrt (sin h0)) (sqrt (/ h0 (sinh h1)))) (/ (sqrt (sin h0)) (sqrt (/ h0 (sinh h1)))) (/ (sqrt (sin h0)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (sinh h1)) (cbrt (sinh h1))))) (/ (sqrt (sin h0)) (/ (cbrt h0) (cbrt (sinh h1)))) (/ (sqrt (sin h0)) (/ (* (cbrt h0) (cbrt h0)) (sqrt (sinh h1)))) (/ (sqrt (sin h0)) (/ (cbrt h0) (sqrt (sinh h1)))) (/ (sqrt (sin h0)) (/ (* (cbrt h0) (cbrt h0)) 1)) (/ (sqrt (sin h0)) (/ (cbrt h0) (sinh h1))) (/ (sqrt (sin h0)) (/ (sqrt h0) (* (cbrt (sinh h1)) (cbrt (sinh h1))))) (/ (sqrt (sin h0)) (/ (sqrt h0) (cbrt (sinh h1)))) (/ (sqrt (sin h0)) (/ (sqrt h0) (sqrt (sinh h1)))) (/ (sqrt (sin h0)) (/ (sqrt h0) (sqrt (sinh h1)))) (/ (sqrt (sin h0)) (/ (sqrt h0) 1)) (/ (sqrt (sin h0)) (/ (sqrt h0) (sinh h1))) (/ (sqrt (sin h0)) (/ 1 (* (cbrt (sinh h1)) (cbrt (sinh h1))))) (/ (sqrt (sin h0)) (/ h0 (cbrt (sinh h1)))) (/ (sqrt (sin h0)) (/ 1 (sqrt (sinh h1)))) (/ (sqrt (sin h0)) (/ h0 (sqrt (sinh h1)))) (/ (sqrt (sin h0)) (/ 1 1)) (/ (sqrt (sin h0)) (/ h0 (sinh h1))) (/ (sqrt (sin h0)) 1) (/ (sqrt (sin h0)) (/ h0 (sinh h1))) (/ (sqrt (sin h0)) h0) (/ (sqrt (sin h0)) (/ 1 (sinh h1))) (/ (sqrt (sin h0)) (/ h0 (- (exp h1) (exp (- h1))))) (/ (sqrt (sin h0)) 2) (/ 1 (* (cbrt (/ h0 (sinh h1))) (cbrt (/ h0 (sinh h1))))) (/ (sin h0) (cbrt (/ h0 (sinh h1)))) (/ 1 (sqrt (/ h0 (sinh h1)))) (/ (sin h0) (sqrt (/ h0 (sinh h1)))) (/ 1 (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (sinh h1)) (cbrt (sinh h1))))) (/ (sin h0) (/ (cbrt h0) (cbrt (sinh h1)))) (/ 1 (/ (* (cbrt h0) (cbrt h0)) (sqrt (sinh h1)))) (/ (sin h0) (/ (cbrt h0) (sqrt (sinh h1)))) (/ 1 (/ (* (cbrt h0) (cbrt h0)) 1)) (/ (sin h0) (/ (cbrt h0) (sinh h1))) (/ 1 (/ (sqrt h0) (* (cbrt (sinh h1)) (cbrt (sinh h1))))) (/ (sin h0) (/ (sqrt h0) (cbrt (sinh h1)))) (/ 1 (/ (sqrt h0) (sqrt (sinh h1)))) (/ (sin h0) (/ (sqrt h0) (sqrt (sinh h1)))) (/ 1 (/ (sqrt h0) 1)) (/ (sin h0) (/ (sqrt h0) (sinh h1))) (/ 1 (/ 1 (* (cbrt (sinh h1)) (cbrt (sinh h1))))) (/ (sin h0) (/ h0 (cbrt (sinh h1)))) (/ 1 (/ 1 (sqrt (sinh h1)))) (/ (sin h0) (/ h0 (sqrt (sinh h1)))) (/ 1 (/ 1 1)) (/ (sin h0) (/ h0 (sinh h1))) (/ 1 1) (/ (sin h0) (/ h0 (sinh h1))) (/ 1 h0) (/ (sin h0) (/ 1 (sinh h1))) (/ 1 (/ h0 (- (exp h1) (exp (- h1))))) (/ (sin h0) 2) (/ 1 (/ h0 (sinh h1))) (/ (/ h0 (sinh h1)) (sin h0)) (/ (sin h0) (* (cbrt (/ h0 (sinh h1))) (cbrt (/ h0 (sinh h1))))) (/ (sin h0) (sqrt (/ h0 (sinh h1)))) (/ (sin h0) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (sinh h1)) (cbrt (sinh h1))))) (/ (sin h0) (/ (* (cbrt h0) (cbrt h0)) (sqrt (sinh h1)))) (/ (sin h0) (/ (* (cbrt h0) (cbrt h0)) 1)) (/ (sin h0) (/ (sqrt h0) (* (cbrt (sinh h1)) (cbrt (sinh h1))))) (/ (sin h0) (/ (sqrt h0) (sqrt (sinh h1)))) (/ (sin h0) (/ (sqrt h0) 1)) (/ (sin h0) (/ 1 (* (cbrt (sinh h1)) (cbrt (sinh h1))))) (/ (sin h0) (/ 1 (sqrt (sinh h1)))) (/ (sin h0) (/ 1 1)) (/ (sin h0) 1) (/ (sin h0) h0) (/ (sin h0) (/ h0 (- (exp h1) (exp (- h1))))) (/ (/ h0 (sinh h1)) (cbrt (sin h0))) (/ (/ h0 (sinh h1)) (sqrt (sin h0))) (/ (/ h0 (sinh h1)) (sin h0)) (/ (sin h0) h0) (- (+ (* 1/6 (pow h1 3)) h1) (* 1/6 (* (pow h0 2) h1))) (/ (- (* 1/2 (* (sin h0) (exp h1))) (* 1/2 (* (exp (- h1)) (sin h0)))) h0) (* -1 (/ (- (* 1/2 (* (sin h0) (exp (* -1 h1)))) (* 1/2 (* (sin h0) (exp h1)))) h0)) 0.833 * * [simplify]: iteration 0 : 427 enodes (cost 751 ) 0.841 * * [simplify]: iteration 1 : 1827 enodes (cost 710 ) 0.875 * * [simplify]: iteration 2 : 5001 enodes (cost 702 ) 0.883 * [simplify]: Simplified to: (expm1 (/ (sin x) (/ x (sinh y)))) (log1p (/ (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)) (- (/ 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))) (* (/ 2 (/ x (sinh y))) (* (cbrt (sin x)) (cbrt (sin x)))) (/ (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)) (* (/ 2 (/ x (sinh y))) (sqrt (sin x))) (/ (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)) (/ (sinh y) x) (/ (/ 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) (* (/ 2 (/ x (sinh y))) (sin x)) (/ (/ x (sinh y)) (cbrt (sin x))) (/ (/ x (sinh y)) (sqrt (sin x))) (/ (/ x (sinh y)) (sin x)) (/ (sin x) x) (fma (pow y 3) 1/6 (- y (* 1/6 (* (pow x 2) y)))) (/ 1/2 (/ x (* (sin x) (- (exp y) (exp (* -1 y)))))) (/ (* -1/2 (* (sin x) (- (exp (* -1 y)) (exp y)))) x) 0.884 * * * [progress]: adding candidates to table 1.073 * * [progress]: iteration 4 / 4 1.073 * * * [progress]: picking best candidate 1.077 * * * * [pick]: Picked # 1.077 * * * [progress]: localizing error 1.083 * * * [progress]: generating rewritten candidates 1.083 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.092 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.111 * * * [progress]: generating series expansions 1.111 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.111 * [approximate]: Taking taylor expansion of (/ (sin x) x) in (x) around 0 1.111 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 1.111 * [taylor]: Taking taylor expansion of (sin x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of (/ (sin x) x) in x 1.112 * [taylor]: Taking taylor expansion of (sin x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.123 * [approximate]: Taking taylor expansion of (* x (sin (/ 1 x))) in (x) around 0 1.123 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.130 * [approximate]: Taking taylor expansion of (* -1 (* (sin (/ -1 x)) x)) in (x) around 0 1.130 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 x)) x)) in x 1.130 * [taylor]: Taking taylor expansion of -1 in x 1.130 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in x 1.130 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.130 * [taylor]: Taking taylor expansion of -1 in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of (* -1 (* (sin (/ -1 x)) x)) in x 1.131 * [taylor]: Taking taylor expansion of -1 in x 1.131 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in x 1.131 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.131 * [taylor]: Taking taylor expansion of -1 in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.141 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.141 * [approximate]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in (x y) around 0 1.141 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in y 1.141 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in y 1.141 * [taylor]: Taking taylor expansion of (sin x) in y 1.141 * [taylor]: Taking taylor expansion of x in y 1.141 * [taylor]: Taking taylor expansion of (sinh y) in y 1.142 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 1.142 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in y 1.142 * [taylor]: Taking taylor expansion of (exp y) in y 1.142 * [taylor]: Taking taylor expansion of y in y 1.142 * [taylor]: Taking taylor expansion of (exp (- y)) in y 1.142 * [taylor]: Taking taylor expansion of (- y) in y 1.142 * [taylor]: Taking taylor expansion of y in y 1.142 * [taylor]: Taking taylor expansion of 2 in y 1.144 * [taylor]: Taking taylor expansion of x in y 1.145 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in x 1.145 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in x 1.145 * [taylor]: Taking taylor expansion of (sin x) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (sinh y) in x 1.145 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 1.145 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in x 1.145 * [taylor]: Taking taylor expansion of (exp y) in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.145 * [taylor]: Taking taylor expansion of (exp (- y)) in x 1.145 * [taylor]: Taking taylor expansion of (- y) in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.145 * [taylor]: Taking taylor expansion of 2 in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (/ (* (sin x) (sinh y)) x) in x 1.148 * [taylor]: Taking taylor expansion of (* (sin x) (sinh y)) in x 1.148 * [taylor]: Taking taylor expansion of (sin x) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.148 * [taylor]: Taking taylor expansion of (sinh y) in x 1.148 * [taylor]: Rewrote expression to (/ (- (exp y) (exp (- y))) 2) 1.148 * [taylor]: Taking taylor expansion of (- (exp y) (exp (- y))) in x 1.148 * [taylor]: Taking taylor expansion of (exp y) in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.148 * [taylor]: Taking taylor expansion of (exp (- y)) in x 1.148 * [taylor]: Taking taylor expansion of (- y) in x 1.148 * [taylor]: Taking taylor expansion of y in x 1.148 * [taylor]: Taking taylor expansion of 2 in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (- (* 1/2 (exp y)) (* 1/2 (exp (- y)))) in y 1.151 * [taylor]: Taking taylor expansion of (* 1/2 (exp y)) in y 1.151 * [taylor]: Taking taylor expansion of 1/2 in y 1.151 * [taylor]: Taking taylor expansion of (exp y) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.151 * [taylor]: Taking taylor expansion of (* 1/2 (exp (- y))) in y 1.151 * [taylor]: Taking taylor expansion of 1/2 in y 1.151 * [taylor]: Taking taylor expansion of (exp (- y)) in y 1.151 * [taylor]: Taking taylor expansion of (- y) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.168 * [taylor]: Taking taylor expansion of (- (* 1/12 (exp (- y))) (* 1/12 (exp y))) in y 1.168 * [taylor]: Taking taylor expansion of (* 1/12 (exp (- y))) in y 1.168 * [taylor]: Taking taylor expansion of 1/12 in y 1.168 * [taylor]: Taking taylor expansion of (exp (- y)) in y 1.168 * [taylor]: Taking taylor expansion of (- y) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.168 * [taylor]: Taking taylor expansion of (* 1/12 (exp y)) in y 1.168 * [taylor]: Taking taylor expansion of 1/12 in y 1.168 * [taylor]: Taking taylor expansion of (exp y) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.176 * [approximate]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in (x y) around 0 1.176 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in y 1.176 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in y 1.176 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 1.176 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in y 1.176 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 1.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.176 * [taylor]: Taking taylor expansion of y in y 1.176 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 1.176 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.176 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.176 * [taylor]: Taking taylor expansion of y in y 1.177 * [taylor]: Taking taylor expansion of 2 in y 1.177 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in y 1.177 * [taylor]: Taking taylor expansion of x in y 1.177 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.177 * [taylor]: Taking taylor expansion of x in y 1.177 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in x 1.177 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in x 1.177 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 1.177 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in x 1.177 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.177 * [taylor]: Taking taylor expansion of y in x 1.178 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in x 1.178 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in x 1.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.178 * [taylor]: Taking taylor expansion of y in x 1.178 * [taylor]: Taking taylor expansion of 2 in x 1.178 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (* (sinh (/ 1 y)) (* x (sin (/ 1 x)))) in x 1.178 * [taylor]: Taking taylor expansion of (sinh (/ 1 y)) in x 1.178 * [taylor]: Rewrote expression to (/ (- (exp (/ 1 y)) (exp (- (/ 1 y)))) 2) 1.178 * [taylor]: Taking taylor expansion of (- (exp (/ 1 y)) (exp (- (/ 1 y)))) in x 1.178 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in x 1.178 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.178 * [taylor]: Taking taylor expansion of y in x 1.178 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in x 1.178 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.179 * [taylor]: Taking taylor expansion of y in x 1.179 * [taylor]: Taking taylor expansion of 2 in x 1.179 * [taylor]: Taking taylor expansion of (* x (sin (/ 1 x))) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of 0 in y 1.182 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (exp (/ 1 y)) (sin (/ 1 x)))) (* 1/2 (* (exp (- (/ 1 y))) (sin (/ 1 x))))) in y 1.182 * [taylor]: Taking taylor expansion of (* 1/2 (* (exp (/ 1 y)) (sin (/ 1 x)))) in y 1.182 * [taylor]: Taking taylor expansion of 1/2 in y 1.182 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (sin (/ 1 x))) in y 1.182 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 1.182 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.182 * [taylor]: Taking taylor expansion of y in y 1.183 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.183 * [taylor]: Taking taylor expansion of x in y 1.183 * [taylor]: Taking taylor expansion of (* 1/2 (* (exp (- (/ 1 y))) (sin (/ 1 x)))) in y 1.183 * [taylor]: Taking taylor expansion of 1/2 in y 1.183 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 y))) (sin (/ 1 x))) in y 1.183 * [taylor]: Taking taylor expansion of (exp (- (/ 1 y))) in y 1.183 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.183 * [taylor]: Taking taylor expansion of y in y 1.183 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in y 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.183 * [taylor]: Taking taylor expansion of x in y 1.189 * [taylor]: Taking taylor expansion of 0 in y 1.198 * [taylor]: Taking taylor expansion of 0 in y 1.198 * [approximate]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in (x y) around 0 1.198 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in y 1.198 * [taylor]: Taking taylor expansion of -1 in y 1.198 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x)) in y 1.198 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in y 1.199 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 1.199 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in y 1.199 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 1.199 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.199 * [taylor]: Taking taylor expansion of -1 in y 1.199 * [taylor]: Taking taylor expansion of y in y 1.199 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in y 1.199 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in y 1.199 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.199 * [taylor]: Taking taylor expansion of -1 in y 1.199 * [taylor]: Taking taylor expansion of y in y 1.199 * [taylor]: Taking taylor expansion of 2 in y 1.200 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in y 1.200 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 1.200 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.200 * [taylor]: Taking taylor expansion of -1 in y 1.200 * [taylor]: Taking taylor expansion of x in y 1.200 * [taylor]: Taking taylor expansion of x in y 1.200 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in x 1.200 * [taylor]: Taking taylor expansion of -1 in x 1.200 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x)) in x 1.200 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in x 1.200 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 1.200 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in x 1.200 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 1.200 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.200 * [taylor]: Taking taylor expansion of -1 in x 1.200 * [taylor]: Taking taylor expansion of y in x 1.200 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in x 1.200 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in x 1.200 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.200 * [taylor]: Taking taylor expansion of -1 in x 1.200 * [taylor]: Taking taylor expansion of y in x 1.200 * [taylor]: Taking taylor expansion of 2 in x 1.200 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in x 1.201 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.201 * [taylor]: Taking taylor expansion of -1 in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (* -1 (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x))) in x 1.201 * [taylor]: Taking taylor expansion of -1 in x 1.201 * [taylor]: Taking taylor expansion of (* (sinh (/ -1 y)) (* (sin (/ -1 x)) x)) in x 1.201 * [taylor]: Taking taylor expansion of (sinh (/ -1 y)) in x 1.201 * [taylor]: Rewrote expression to (/ (- (exp (/ -1 y)) (exp (- (/ -1 y)))) 2) 1.201 * [taylor]: Taking taylor expansion of (- (exp (/ -1 y)) (exp (- (/ -1 y)))) in x 1.201 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in x 1.201 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.201 * [taylor]: Taking taylor expansion of -1 in x 1.201 * [taylor]: Taking taylor expansion of y in x 1.201 * [taylor]: Taking taylor expansion of (exp (- (/ -1 y))) in x 1.201 * [taylor]: Taking taylor expansion of (- (/ -1 y)) in x 1.201 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.201 * [taylor]: Taking taylor expansion of -1 in x 1.201 * [taylor]: Taking taylor expansion of y in x 1.201 * [taylor]: Taking taylor expansion of 2 in x 1.202 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) x) in x 1.202 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.202 * [taylor]: Taking taylor expansion of -1 in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of 0 in y 1.211 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (exp (/ 1 y)) (sin (/ -1 x)))) (* 1/2 (* (sin (/ -1 x)) (exp (/ -1 y))))) in y 1.211 * [taylor]: Taking taylor expansion of (* 1/2 (* (exp (/ 1 y)) (sin (/ -1 x)))) in y 1.211 * [taylor]: Taking taylor expansion of 1/2 in y 1.211 * [taylor]: Taking taylor expansion of (* (exp (/ 1 y)) (sin (/ -1 x))) in y 1.211 * [taylor]: Taking taylor expansion of (exp (/ 1 y)) in y 1.211 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.211 * [taylor]: Taking taylor expansion of y in y 1.211 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 1.211 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.211 * [taylor]: Taking taylor expansion of -1 in y 1.211 * [taylor]: Taking taylor expansion of x in y 1.211 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin (/ -1 x)) (exp (/ -1 y)))) in y 1.211 * [taylor]: Taking taylor expansion of 1/2 in y 1.211 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (exp (/ -1 y))) in y 1.211 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in y 1.211 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.211 * [taylor]: Taking taylor expansion of -1 in y 1.211 * [taylor]: Taking taylor expansion of x in y 1.211 * [taylor]: Taking taylor expansion of (exp (/ -1 y)) in y 1.211 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.211 * [taylor]: Taking taylor expansion of -1 in y 1.211 * [taylor]: Taking taylor expansion of y in y 1.217 * [taylor]: Taking taylor expansion of 0 in y 1.227 * [taylor]: Taking taylor expansion of 0 in y 1.227 * * * [progress]: simplifying candidates 1.228 * [simplify]: Simplifying using # : (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (- (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)) (- (sin x)) (- 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)) (expm1 (* (/ (sin x) x) (sinh y))) (log1p (* (/ (sin x) x) (sinh y))) (* (/ (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 (- 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 (- y)))) (* (sin x) (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 (- y)) (sin x)))) x) (* -1 (/ (- (* 1/2 (* (sin x) (exp (* -1 y)))) (* 1/2 (* (sin x) (exp y)))) x)) 1.228 * [simplify]: Sending expressions to egg_math: (expm1 (/ (sin h0) h0)) (log1p (/ (sin h0) h0)) (- (log (sin h0)) (log h0)) (log (/ (sin h0) h0)) (exp (/ (sin h0) h0)) (/ (* (* (sin h0) (sin h0)) (sin h0)) (* (* h0 h0) h0)) (* (cbrt (/ (sin h0) h0)) (cbrt (/ (sin h0) h0))) (cbrt (/ (sin h0) h0)) (* (* (/ (sin h0) h0) (/ (sin h0) h0)) (/ (sin h0) h0)) (sqrt (/ (sin h0) h0)) (sqrt (/ (sin h0) h0)) (- (sin h0)) (- h0) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (sin h0)) (cbrt h0)) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) (sqrt h0)) (/ (cbrt (sin h0)) (sqrt h0)) (/ (* (cbrt (sin h0)) (cbrt (sin h0))) 1) (/ (cbrt (sin h0)) h0) (/ (sqrt (sin h0)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (sin h0)) (cbrt h0)) (/ (sqrt (sin h0)) (sqrt h0)) (/ (sqrt (sin h0)) (sqrt h0)) (/ (sqrt (sin h0)) 1) (/ (sqrt (sin h0)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (sin h0) (cbrt h0)) (/ 1 (sqrt h0)) (/ (sin h0) (sqrt h0)) (/ 1 1) (/ (sin h0) h0) (/ 1 h0) (/ h0 (sin h0)) (/ (sin h0) (* (cbrt h0) (cbrt h0))) (/ (sin h0) (sqrt h0)) (/ (sin h0) 1) (/ h0 (cbrt (sin h0))) (/ h0 (sqrt (sin h0))) (/ h0 (sin h0)) (expm1 (* (/ (sin h0) h0) (sinh h1))) (log1p (* (/ (sin h0) h0) (sinh h1))) (* (/ (sin h0) h0) (sinh h1)) (+ (- (log (sin h0)) (log h0)) (log (sinh h1))) (+ (log (/ (sin h0) h0)) (log (sinh h1))) (log (* (/ (sin h0) h0) (sinh h1))) (exp (* (/ (sin h0) h0) (sinh h1))) (* (/ (* (* (sin h0) (sin h0)) (sin h0)) (* (* h0 h0) h0)) (* (* (sinh h1) (sinh h1)) (sinh h1))) (* (* (* (/ (sin h0) h0) (/ (sin h0) h0)) (/ (sin h0) h0)) (* (* (sinh h1) (sinh h1)) (sinh h1))) (* (cbrt (* (/ (sin h0) h0) (sinh h1))) (cbrt (* (/ (sin h0) h0) (sinh h1)))) (cbrt (* (/ (sin h0) h0) (sinh h1))) (* (* (* (/ (sin h0) h0) (sinh h1)) (* (/ (sin h0) h0) (sinh h1))) (* (/ (sin h0) h0) (sinh h1))) (sqrt (* (/ (sin h0) h0) (sinh h1))) (sqrt (* (/ (sin h0) h0) (sinh h1))) (* (sin h0) (- (exp h1) (exp (- h1)))) (* h0 2) (* (sqrt (/ (sin h0) h0)) (sqrt (sinh h1))) (* (sqrt (/ (sin h0) h0)) (sqrt (sinh h1))) (* (/ (sqrt (sin h0)) (sqrt h0)) (sqrt (sinh h1))) (* (/ (sqrt (sin h0)) (sqrt h0)) (sqrt (sinh h1))) (* (/ (sin h0) h0) (* (cbrt (sinh h1)) (cbrt (sinh h1)))) (* (/ (sin h0) h0) (sqrt (sinh h1))) (* (/ (sin h0) h0) 1) (* (cbrt (/ (sin h0) h0)) (sinh h1)) (* (sqrt (/ (sin h0) h0)) (sinh h1)) (* (/ (cbrt (sin h0)) (cbrt h0)) (sinh h1)) (* (/ (cbrt (sin h0)) (sqrt h0)) (sinh h1)) (* (/ (cbrt (sin h0)) h0) (sinh h1)) (* (/ (sqrt (sin h0)) (cbrt h0)) (sinh h1)) (* (/ (sqrt (sin h0)) (sqrt h0)) (sinh h1)) (* (/ (sqrt (sin h0)) h0) (sinh h1)) (* (/ (sin h0) (cbrt h0)) (sinh h1)) (* (/ (sin h0) (sqrt h0)) (sinh h1)) (* (/ (sin h0) h0) (sinh h1)) (* (/ (sin h0) h0) (sinh h1)) (* (/ 1 h0) (sinh h1)) (* (/ (sin h0) h0) (- (exp h1) (exp (- h1)))) (* (sin h0) (sinh h1)) (- (+ (* 1/120 (pow h0 4)) 1) (* 1/6 (pow h0 2))) (/ (sin h0) h0) (/ (sin h0) h0) (- (+ (* 1/6 (pow h1 3)) h1) (* 1/6 (* (pow h0 2) h1))) (/ (- (* 1/2 (* (sin h0) (exp h1))) (* 1/2 (* (exp (- h1)) (sin h0)))) h0) (* -1 (/ (- (* 1/2 (* (sin h0) (exp (* -1 h1)))) (* 1/2 (* (sin h0) (exp h1)))) h0)) 1.233 * * [simplify]: iteration 0 : 298 enodes (cost 403 ) 1.238 * * [simplify]: iteration 1 : 1214 enodes (cost 358 ) 1.261 * * [simplify]: iteration 2 : 5001 enodes (cost 345 ) 1.263 * [simplify]: Simplified to: (expm1 (/ (sin x) x)) (log1p (/ (sin x) x)) (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)) (- (sin x)) (- 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)) (expm1 (* (/ (sin x) x) (sinh y))) (log1p (* (/ (sin x) x) (sinh y))) (* (/ (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)) (fma (pow x 4) 1/120 (- 1 (* 1/6 (pow x 2)))) (/ (sin x) x) (/ (sin x) x) (fma (pow y 3) 1/6 (- y (* 1/6 (* (pow x 2) y)))) (* (/ (sin x) x) (sinh y)) (* (/ (sin x) x) (sinh y)) 1.263 * * * [progress]: adding candidates to table 1.408 * [progress]: [Phase 3 of 3] Extracting. 1.409 * * [regime]: Finding splitpoints for: (# # # # #) 1.409 * * * [regime-changes]: Trying 4 branch expressions: ((sinh y) (/ (* (sin x) (sinh y)) x) y x) 1.409 * * * * [regimes]: Trying to branch on (sinh y) from (# # # # #) 1.431 * * * * [regimes]: Trying to branch on (/ (* (sin x) (sinh y)) x) from (# # # # #) 1.458 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.476 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.496 * * * [regime]: Found split indices: #