22.824 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.098 * * * [progress]: [2/2] Setting up program. 0.100 * [progress]: [Phase 2 of 3] Improving. 0.101 * [simplify]: Simplifying using # : (- (sin (+ x eps)) (sin x)) 0.101 * [simplify]: Sending expressions to egg_math: (- (sin (+ h0 h1)) (sin h0)) 0.103 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.105 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.106 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.106 * [simplify]: Simplified to: (- (sin (+ x eps)) (sin x)) 0.106 * * [progress]: iteration 1 / 4 0.106 * * * [progress]: picking best candidate 0.108 * * * * [pick]: Picked # 0.108 * * * [progress]: localizing error 0.117 * * * [progress]: generating rewritten candidates 0.117 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.126 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.177 * * * [progress]: generating series expansions 0.177 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.177 * [approximate]: Taking taylor expansion of (sin (+ x eps)) in (x eps) around 0 0.177 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps 0.177 * [taylor]: Taking taylor expansion of (+ x eps) in eps 0.177 * [taylor]: Taking taylor expansion of x in eps 0.177 * [taylor]: Taking taylor expansion of eps in eps 0.178 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x 0.178 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of eps in x 0.178 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x 0.178 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of eps in x 0.178 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.178 * [taylor]: Taking taylor expansion of eps in eps 0.180 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.180 * [taylor]: Taking taylor expansion of eps in eps 0.182 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps 0.182 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps 0.182 * [taylor]: Taking taylor expansion of 1/2 in eps 0.182 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.182 * [taylor]: Taking taylor expansion of eps in eps 0.186 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos eps))) in eps 0.186 * [taylor]: Taking taylor expansion of (* 1/6 (cos eps)) in eps 0.186 * [taylor]: Taking taylor expansion of 1/6 in eps 0.186 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.186 * [taylor]: Taking taylor expansion of eps in eps 0.187 * [approximate]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in (x eps) around 0 0.187 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.187 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.187 * [taylor]: Taking taylor expansion of eps in eps 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.187 * [taylor]: Taking taylor expansion of x in eps 0.188 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.188 * [taylor]: Taking taylor expansion of eps in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.188 * [taylor]: Taking taylor expansion of eps in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.189 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.189 * [taylor]: Taking taylor expansion of eps in eps 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.189 * [taylor]: Taking taylor expansion of x in eps 0.190 * [taylor]: Taking taylor expansion of 0 in eps 0.190 * [taylor]: Taking taylor expansion of 0 in eps 0.190 * [taylor]: Taking taylor expansion of 0 in eps 0.190 * [approximate]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in (x eps) around 0 0.190 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.190 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.190 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.190 * [taylor]: Taking taylor expansion of eps in eps 0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.190 * [taylor]: Taking taylor expansion of x in eps 0.191 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x 0.191 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.191 * [taylor]: Taking taylor expansion of eps in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x 0.192 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.192 * [taylor]: Taking taylor expansion of eps in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.193 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.193 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.193 * [taylor]: Taking taylor expansion of eps in eps 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.193 * [taylor]: Taking taylor expansion of x in eps 0.193 * [taylor]: Taking taylor expansion of 0 in eps 0.194 * [taylor]: Taking taylor expansion of 0 in eps 0.194 * [taylor]: Taking taylor expansion of 0 in eps 0.194 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.194 * [approximate]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in (x eps) around 0 0.194 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in eps 0.194 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in eps 0.194 * [taylor]: Taking taylor expansion of (+ x eps) in eps 0.194 * [taylor]: Taking taylor expansion of x in eps 0.194 * [taylor]: Taking taylor expansion of eps in eps 0.194 * [taylor]: Taking taylor expansion of (sin x) in eps 0.194 * [taylor]: Taking taylor expansion of x in eps 0.194 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in x 0.194 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x 0.194 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of eps in x 0.194 * [taylor]: Taking taylor expansion of (sin x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in x 0.194 * [taylor]: Taking taylor expansion of (sin (+ x eps)) in x 0.194 * [taylor]: Taking taylor expansion of (+ x eps) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of eps in x 0.194 * [taylor]: Taking taylor expansion of (sin x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.195 * [taylor]: Taking taylor expansion of eps in eps 0.197 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in eps 0.197 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.197 * [taylor]: Taking taylor expansion of eps in eps 0.197 * [taylor]: Taking taylor expansion of 1 in eps 0.200 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps 0.200 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps 0.200 * [taylor]: Taking taylor expansion of 1/2 in eps 0.200 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.200 * [taylor]: Taking taylor expansion of eps in eps 0.206 * [taylor]: Taking taylor expansion of (- 1/6 (* 1/6 (cos eps))) in eps 0.206 * [taylor]: Taking taylor expansion of 1/6 in eps 0.206 * [taylor]: Taking taylor expansion of (* 1/6 (cos eps)) in eps 0.206 * [taylor]: Taking taylor expansion of 1/6 in eps 0.206 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.206 * [taylor]: Taking taylor expansion of eps in eps 0.209 * [approximate]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in (x eps) around 0 0.209 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps 0.209 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.209 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.209 * [taylor]: Taking taylor expansion of eps in eps 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.209 * [taylor]: Taking taylor expansion of x in eps 0.209 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.209 * [taylor]: Taking taylor expansion of x in eps 0.210 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.210 * [taylor]: Taking taylor expansion of eps in x 0.210 * [taylor]: Taking taylor expansion of (/ 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 0.210 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.211 * [taylor]: Taking taylor expansion of eps in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps 0.212 * [taylor]: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.212 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.212 * [taylor]: Taking taylor expansion of eps in eps 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.212 * [taylor]: Taking taylor expansion of x in eps 0.212 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.212 * [taylor]: Taking taylor expansion of x in eps 0.213 * [taylor]: Taking taylor expansion of 0 in eps 0.215 * [taylor]: Taking taylor expansion of 0 in eps 0.218 * [taylor]: Taking taylor expansion of 0 in eps 0.218 * [approximate]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in (x eps) around 0 0.218 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps 0.218 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.218 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.218 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.218 * [taylor]: Taking taylor expansion of eps in eps 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.219 * [taylor]: Taking taylor expansion of x in eps 0.219 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 0.219 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.219 * [taylor]: Taking taylor expansion of -1 in eps 0.219 * [taylor]: Taking taylor expansion of x in eps 0.219 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in x 0.219 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x 0.219 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.219 * [taylor]: Taking taylor expansion of eps in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.220 * [taylor]: Taking taylor expansion of -1 in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in x 0.221 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in x 0.221 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in x 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.221 * [taylor]: Taking taylor expansion of eps in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.222 * [taylor]: Taking taylor expansion of -1 in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps 0.222 * [taylor]: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps 0.222 * [taylor]: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps 0.222 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.222 * [taylor]: Taking taylor expansion of eps in eps 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.223 * [taylor]: Taking taylor expansion of x in eps 0.223 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 0.223 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.223 * [taylor]: Taking taylor expansion of -1 in eps 0.223 * [taylor]: Taking taylor expansion of x in eps 0.224 * [taylor]: Taking taylor expansion of 0 in eps 0.227 * [taylor]: Taking taylor expansion of 0 in eps 0.229 * [taylor]: Taking taylor expansion of 0 in eps 0.230 * * * [progress]: simplifying candidates 0.230 * [simplify]: Simplifying using # : (expm1 (sin (+ x eps))) (log1p (sin (+ x eps))) (* (sin x) (cos eps)) (* (cos x) (sin eps)) (log (sin (+ x eps))) (exp (sin (+ x eps))) (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) (cbrt (sin (+ x eps))) (* (* (sin (+ x eps)) (sin (+ x eps))) (sin (+ x eps))) (sqrt (sin (+ x eps))) (sqrt (sin (+ x eps))) (fma (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) (cbrt (sin (+ x eps))) (- (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))))) (fma (- (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x))))) (fma (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) (cbrt (sin (+ x eps))) (- (* (sqrt (sin x)) (sqrt (sin x))))) (fma (- (sqrt (sin x))) (sqrt (sin x)) (* (sqrt (sin x)) (sqrt (sin x)))) (fma (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) (cbrt (sin (+ x eps))) (- (* (sin x) 1))) (fma (- (sin x)) 1 (* (sin x) 1)) (fma (sqrt (sin (+ x eps))) (sqrt (sin (+ x eps))) (- (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))))) (fma (- (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x))))) (fma (sqrt (sin (+ x eps))) (sqrt (sin (+ x eps))) (- (* (sqrt (sin x)) (sqrt (sin x))))) (fma (- (sqrt (sin x))) (sqrt (sin x)) (* (sqrt (sin x)) (sqrt (sin x)))) (fma (sqrt (sin (+ x eps))) (sqrt (sin (+ x eps))) (- (* (sin x) 1))) (fma (- (sin x)) 1 (* (sin x) 1)) (fma 1 (sin (+ x eps)) (- (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))))) (fma (- (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x))))) (fma 1 (sin (+ x eps)) (- (* (sqrt (sin x)) (sqrt (sin x))))) (fma (- (sqrt (sin x))) (sqrt (sin x)) (* (sqrt (sin x)) (sqrt (sin x)))) (fma 1 (sin (+ x eps)) (- (* (sin x) 1))) (fma (- (sin x)) 1 (* (sin x) 1)) (expm1 (- (sin (+ x eps)) (sin x))) (log1p (- (sin (+ x eps)) (sin x))) (- (sin x)) (- (sin x)) (- (sin x)) (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (/ (exp (sin (+ x eps))) (exp (sin x))) (log (- (sin (+ x eps)) (sin x))) (exp (- (sin (+ x eps)) (sin x))) (* (cbrt (- (sin (+ x eps)) (sin x))) (cbrt (- (sin (+ x eps)) (sin x)))) (cbrt (- (sin (+ x eps)) (sin x))) (* (* (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x))) (- (sin (+ x eps)) (sin x))) (sqrt (- (sin (+ x eps)) (sin x))) (sqrt (- (sin (+ x eps)) (sin x))) (- (pow (sin (+ x eps)) 3) (pow (sin x) 3)) (+ (* (sin (+ x eps)) (sin (+ x eps))) (+ (* (sin x) (sin x)) (* (sin (+ x eps)) (sin x)))) (- (sin x)) (- (* (sin (+ x eps)) (sin (+ x eps))) (* (sin x) (sin x))) (+ (sin (+ x eps)) (sin x)) (+ (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sin (+ x eps)) (sin x)) (- (* (cos x) (sin eps)) (sin x)) (- (sin x)) (- (+ eps x) (* 1/6 (pow x 3))) (sin (+ x eps)) (sin (+ x eps)) (- eps (+ (* 1/2 (* x (pow eps 2))) (* 1/2 (* (pow x 2) eps)))) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) 0.230 * [simplify]: Sending expressions to egg_math: (expm1 (sin (+ h0 h1))) (log1p (sin (+ h0 h1))) (* (sin h0) (cos h1)) (* (cos h0) (sin h1)) (log (sin (+ h0 h1))) (exp (sin (+ h0 h1))) (* (cbrt (sin (+ h0 h1))) (cbrt (sin (+ h0 h1)))) (cbrt (sin (+ h0 h1))) (* (* (sin (+ h0 h1)) (sin (+ h0 h1))) (sin (+ h0 h1))) (sqrt (sin (+ h0 h1))) (sqrt (sin (+ h0 h1))) (fma (* (cbrt (sin (+ h0 h1))) (cbrt (sin (+ h0 h1)))) (cbrt (sin (+ h0 h1))) (- (* (cbrt (sin h0)) (* (cbrt (sin h0)) (cbrt (sin h0)))))) (fma (- (cbrt (sin h0))) (* (cbrt (sin h0)) (cbrt (sin h0))) (* (cbrt (sin h0)) (* (cbrt (sin h0)) (cbrt (sin h0))))) (fma (* (cbrt (sin (+ h0 h1))) (cbrt (sin (+ h0 h1)))) (cbrt (sin (+ h0 h1))) (- (* (sqrt (sin h0)) (sqrt (sin h0))))) (fma (- (sqrt (sin h0))) (sqrt (sin h0)) (* (sqrt (sin h0)) (sqrt (sin h0)))) (fma (* (cbrt (sin (+ h0 h1))) (cbrt (sin (+ h0 h1)))) (cbrt (sin (+ h0 h1))) (- (* (sin h0) 1))) (fma (- (sin h0)) 1 (* (sin h0) 1)) (fma (sqrt (sin (+ h0 h1))) (sqrt (sin (+ h0 h1))) (- (* (cbrt (sin h0)) (* (cbrt (sin h0)) (cbrt (sin h0)))))) (fma (- (cbrt (sin h0))) (* (cbrt (sin h0)) (cbrt (sin h0))) (* (cbrt (sin h0)) (* (cbrt (sin h0)) (cbrt (sin h0))))) (fma (sqrt (sin (+ h0 h1))) (sqrt (sin (+ h0 h1))) (- (* (sqrt (sin h0)) (sqrt (sin h0))))) (fma (- (sqrt (sin h0))) (sqrt (sin h0)) (* (sqrt (sin h0)) (sqrt (sin h0)))) (fma (sqrt (sin (+ h0 h1))) (sqrt (sin (+ h0 h1))) (- (* (sin h0) 1))) (fma (- (sin h0)) 1 (* (sin h0) 1)) (fma 1 (sin (+ h0 h1)) (- (* (cbrt (sin h0)) (* (cbrt (sin h0)) (cbrt (sin h0)))))) (fma (- (cbrt (sin h0))) (* (cbrt (sin h0)) (cbrt (sin h0))) (* (cbrt (sin h0)) (* (cbrt (sin h0)) (cbrt (sin h0))))) (fma 1 (sin (+ h0 h1)) (- (* (sqrt (sin h0)) (sqrt (sin h0))))) (fma (- (sqrt (sin h0))) (sqrt (sin h0)) (* (sqrt (sin h0)) (sqrt (sin h0)))) (fma 1 (sin (+ h0 h1)) (- (* (sin h0) 1))) (fma (- (sin h0)) 1 (* (sin h0) 1)) (expm1 (- (sin (+ h0 h1)) (sin h0))) (log1p (- (sin (+ h0 h1)) (sin h0))) (- (sin h0)) (- (sin h0)) (- (sin h0)) (* (sin (/ (- (+ h0 h1) h0) 2)) (cos (/ (+ (+ h0 h1) h0) 2))) (/ (exp (sin (+ h0 h1))) (exp (sin h0))) (log (- (sin (+ h0 h1)) (sin h0))) (exp (- (sin (+ h0 h1)) (sin h0))) (* (cbrt (- (sin (+ h0 h1)) (sin h0))) (cbrt (- (sin (+ h0 h1)) (sin h0)))) (cbrt (- (sin (+ h0 h1)) (sin h0))) (* (* (- (sin (+ h0 h1)) (sin h0)) (- (sin (+ h0 h1)) (sin h0))) (- (sin (+ h0 h1)) (sin h0))) (sqrt (- (sin (+ h0 h1)) (sin h0))) (sqrt (- (sin (+ h0 h1)) (sin h0))) (- (pow (sin (+ h0 h1)) 3) (pow (sin h0) 3)) (+ (* (sin (+ h0 h1)) (sin (+ h0 h1))) (+ (* (sin h0) (sin h0)) (* (sin (+ h0 h1)) (sin h0)))) (- (sin h0)) (- (* (sin (+ h0 h1)) (sin (+ h0 h1))) (* (sin h0) (sin h0))) (+ (sin (+ h0 h1)) (sin h0)) (+ (sqrt (sin (+ h0 h1))) (sqrt (sin h0))) (- (sqrt (sin (+ h0 h1))) (sqrt (sin h0))) (- (sin (+ h0 h1)) (sin h0)) (- (* (cos h0) (sin h1)) (sin h0)) (- (sin h0)) (- (+ h1 h0) (* 1/6 (pow h0 3))) (sin (+ h0 h1)) (sin (+ h0 h1)) (- h1 (+ (* 1/2 (* h0 (pow h1 2))) (* 1/2 (* (pow h0 2) h1)))) (- (sin (+ h0 h1)) (sin h0)) (- (sin (+ h0 h1)) (sin h0)) 0.234 * * [simplify]: iteration 0 : 192 enodes (cost 386 ) 0.238 * * [simplify]: iteration 1 : 538 enodes (cost 285 ) 0.250 * * [simplify]: iteration 2 : 2616 enodes (cost 275 ) 0.303 * * [simplify]: iteration 3 : 5002 enodes (cost 220 ) 0.308 * [simplify]: Simplified to: (expm1 (sin (+ x eps))) (log1p (sin (+ x eps))) (* (sin x) (cos eps)) (* (cos x) (sin eps)) (log (sin (+ x eps))) (exp (sin (+ x eps))) (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) (cbrt (sin (+ x eps))) (pow (sin (+ x eps)) 3) (sqrt (sin (+ x eps))) (sqrt (sin (+ x eps))) (- (sin (+ x eps)) (sin x)) 0 (- (sin (+ x eps)) (sin x)) 0 (- (sin (+ x eps)) (sin x)) 0 (- (sin (+ x eps)) (sin x)) 0 (- (sin (+ x eps)) (sin x)) 0 (- (sin (+ x eps)) (sin x)) 0 (- (sin (+ x eps)) (sin x)) 0 (- (sin (+ x eps)) (sin x)) 0 (- (sin (+ x eps)) (sin x)) 0 (expm1 (- (sin (+ x eps)) (sin x))) (log1p (- (sin (+ x eps)) (sin x))) (- (sin x)) (- (sin x)) (- (sin x)) (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) (exp (- (sin (+ x eps)) (sin x))) (log (- (sin (+ x eps)) (sin x))) (exp (- (sin (+ x eps)) (sin x))) (* (cbrt (- (sin (+ x eps)) (sin x))) (cbrt (- (sin (+ x eps)) (sin x)))) (cbrt (- (sin (+ x eps)) (sin x))) (pow (- (sin (+ x eps)) (sin x)) 3) (sqrt (- (sin (+ x eps)) (sin x))) (sqrt (- (sin (+ x eps)) (sin x))) (- (pow (sin (+ x eps)) 3) (pow (sin x) 3)) (fma (sin (+ x eps)) (+ (sin (+ x eps)) (sin x)) (* (sin x) (sin x))) (- (sin x)) (- (* (sin (+ x eps)) (sin (+ x eps))) (* (sin x) (sin x))) (+ (sin (+ x eps)) (sin x)) (+ (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sqrt (sin (+ x eps))) (sqrt (sin x))) (- (sin (+ x eps)) (sin x)) (- (* (cos x) (sin eps)) (sin x)) (- (sin x)) (- (+ eps x) (* 1/6 (pow x 3))) (sin (+ x eps)) (sin (+ x eps)) (fma (- 1/2) (fma (pow eps 2) x (* (pow x 2) eps)) eps) (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x)) 0.308 * * * [progress]: adding candidates to table 0.392 * * [progress]: iteration 2 / 4 0.392 * * * [progress]: picking best candidate 0.409 * * * * [pick]: Picked # 0.409 * * * [progress]: localizing error 0.424 * * * [progress]: generating rewritten candidates 0.424 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.456 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.467 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.478 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.495 * * * [progress]: generating series expansions 0.495 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.496 * [approximate]: Taking taylor expansion of (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in (x eps) around 0 0.496 * [taylor]: Taking taylor expansion of (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in eps 0.496 * [taylor]: Taking taylor expansion of (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) in eps 0.496 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 0.496 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.496 * [taylor]: Taking taylor expansion of eps in eps 0.496 * [taylor]: Taking taylor expansion of (cos x) in eps 0.496 * [taylor]: Taking taylor expansion of x in eps 0.496 * [taylor]: Taking taylor expansion of (* (sin x) (cos eps)) in eps 0.496 * [taylor]: Taking taylor expansion of (sin x) in eps 0.496 * [taylor]: Taking taylor expansion of x in eps 0.496 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.496 * [taylor]: Taking taylor expansion of eps in eps 0.496 * [taylor]: Taking taylor expansion of (sin x) in eps 0.496 * [taylor]: Taking taylor expansion of x in eps 0.496 * [taylor]: Taking taylor expansion of (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in x 0.496 * [taylor]: Taking taylor expansion of (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) in x 0.496 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in x 0.496 * [taylor]: Taking taylor expansion of (sin eps) in x 0.496 * [taylor]: Taking taylor expansion of eps in x 0.496 * [taylor]: Taking taylor expansion of (cos x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (* (sin x) (cos eps)) in x 0.496 * [taylor]: Taking taylor expansion of (sin x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (cos eps) in x 0.496 * [taylor]: Taking taylor expansion of eps in x 0.496 * [taylor]: Taking taylor expansion of (sin x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) in x 0.496 * [taylor]: Taking taylor expansion of (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) in x 0.496 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in x 0.496 * [taylor]: Taking taylor expansion of (sin eps) in x 0.496 * [taylor]: Taking taylor expansion of eps in x 0.497 * [taylor]: Taking taylor expansion of (cos x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (* (sin x) (cos eps)) in x 0.497 * [taylor]: Taking taylor expansion of (sin x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (cos eps) in x 0.497 * [taylor]: Taking taylor expansion of eps in x 0.497 * [taylor]: Taking taylor expansion of (sin x) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.498 * [taylor]: Taking taylor expansion of eps in eps 0.502 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in eps 0.503 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.503 * [taylor]: Taking taylor expansion of eps in eps 0.503 * [taylor]: Taking taylor expansion of 1 in eps 0.510 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps 0.510 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps 0.510 * [taylor]: Taking taylor expansion of 1/2 in eps 0.510 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.510 * [taylor]: Taking taylor expansion of eps in eps 0.520 * [taylor]: Taking taylor expansion of (- 1/6 (* 1/6 (cos eps))) in eps 0.520 * [taylor]: Taking taylor expansion of 1/6 in eps 0.520 * [taylor]: Taking taylor expansion of (* 1/6 (cos eps)) in eps 0.520 * [taylor]: Taking taylor expansion of 1/6 in eps 0.520 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.520 * [taylor]: Taking taylor expansion of eps in eps 0.523 * [approximate]: Taking taylor expansion of (- (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) (sin (/ 1 x))) in (x eps) around 0 0.523 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) (sin (/ 1 x))) in eps 0.523 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) in eps 0.523 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 0.523 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in eps 0.523 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.523 * [taylor]: Taking taylor expansion of eps in eps 0.523 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.523 * [taylor]: Taking taylor expansion of x in eps 0.523 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps 0.523 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 0.523 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.523 * [taylor]: Taking taylor expansion of eps in eps 0.524 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.524 * [taylor]: Taking taylor expansion of x in eps 0.524 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.524 * [taylor]: Taking taylor expansion of x in eps 0.524 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) (sin (/ 1 x))) in x 0.524 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) in x 0.524 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x 0.524 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.524 * [taylor]: Taking taylor expansion of eps in x 0.524 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in x 0.525 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.525 * [taylor]: Taking taylor expansion of eps in x 0.525 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) (sin (/ 1 x))) in x 0.525 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) in x 0.525 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x 0.525 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.526 * [taylor]: Taking taylor expansion of eps in x 0.526 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.526 * [taylor]: Taking taylor expansion of eps in x 0.526 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of (- (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) (sin (/ 1 x))) in eps 0.528 * [taylor]: Taking taylor expansion of (+ (* (cos (/ 1 eps)) (sin (/ 1 x))) (* (sin (/ 1 eps)) (cos (/ 1 x)))) in eps 0.528 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps 0.528 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 0.528 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.528 * [taylor]: Taking taylor expansion of eps in eps 0.528 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.528 * [taylor]: Taking taylor expansion of x in eps 0.528 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 0.528 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in eps 0.528 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.528 * [taylor]: Taking taylor expansion of eps in eps 0.528 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.528 * [taylor]: Taking taylor expansion of x in eps 0.529 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.529 * [taylor]: Taking taylor expansion of x in eps 0.534 * [taylor]: Taking taylor expansion of 0 in eps 0.544 * [taylor]: Taking taylor expansion of 0 in eps 0.558 * [taylor]: Taking taylor expansion of 0 in eps 0.558 * [approximate]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) (sin (/ -1 x))) in (x eps) around 0 0.558 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) (sin (/ -1 x))) in eps 0.558 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) in eps 0.558 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in eps 0.558 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 0.558 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.559 * [taylor]: Taking taylor expansion of -1 in eps 0.559 * [taylor]: Taking taylor expansion of x in eps 0.559 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 0.559 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 0.559 * [taylor]: Taking taylor expansion of -1 in eps 0.559 * [taylor]: Taking taylor expansion of eps in eps 0.559 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 0.559 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in eps 0.559 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 0.559 * [taylor]: Taking taylor expansion of -1 in eps 0.559 * [taylor]: Taking taylor expansion of eps in eps 0.559 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 0.559 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.559 * [taylor]: Taking taylor expansion of -1 in eps 0.559 * [taylor]: Taking taylor expansion of x in eps 0.560 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.560 * [taylor]: Taking taylor expansion of -1 in eps 0.560 * [taylor]: Taking taylor expansion of x in eps 0.560 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) (sin (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) in x 0.560 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in x 0.560 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of eps in x 0.560 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in x 0.560 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of eps in x 0.560 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.560 * [taylor]: Taking taylor expansion of -1 in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.561 * [taylor]: Taking taylor expansion of -1 in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) (sin (/ -1 x))) in x 0.561 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) in x 0.561 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in x 0.561 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.561 * [taylor]: Taking taylor expansion of -1 in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in x 0.561 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 0.561 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [taylor]: Taking taylor expansion of eps in x 0.562 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in x 0.562 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in x 0.562 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 0.562 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [taylor]: Taking taylor expansion of eps in x 0.562 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.562 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.562 * [taylor]: Taking taylor expansion of -1 in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) (sin (/ -1 x))) in eps 0.563 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (sin (/ -1 eps)) (cos (/ -1 x)))) in eps 0.563 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in eps 0.563 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 0.564 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.564 * [taylor]: Taking taylor expansion of -1 in eps 0.564 * [taylor]: Taking taylor expansion of x in eps 0.564 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 0.564 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 0.564 * [taylor]: Taking taylor expansion of -1 in eps 0.564 * [taylor]: Taking taylor expansion of eps in eps 0.564 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 0.564 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in eps 0.564 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 0.564 * [taylor]: Taking taylor expansion of -1 in eps 0.564 * [taylor]: Taking taylor expansion of eps in eps 0.564 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 0.564 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.564 * [taylor]: Taking taylor expansion of -1 in eps 0.564 * [taylor]: Taking taylor expansion of x in eps 0.564 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 0.564 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.565 * [taylor]: Taking taylor expansion of -1 in eps 0.565 * [taylor]: Taking taylor expansion of x in eps 0.570 * [taylor]: Taking taylor expansion of 0 in eps 0.583 * [taylor]: Taking taylor expansion of 0 in eps 0.596 * [taylor]: Taking taylor expansion of 0 in eps 0.597 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.597 * [approximate]: Taking taylor expansion of (* (sin x) (cos eps)) in (x eps) around 0 0.597 * [taylor]: Taking taylor expansion of (* (sin x) (cos eps)) in eps 0.597 * [taylor]: Taking taylor expansion of (sin x) in eps 0.597 * [taylor]: Taking taylor expansion of x in eps 0.597 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.597 * [taylor]: Taking taylor expansion of eps in eps 0.597 * [taylor]: Taking taylor expansion of (* (sin x) (cos eps)) in x 0.597 * [taylor]: Taking taylor expansion of (sin x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (cos eps) in x 0.597 * [taylor]: Taking taylor expansion of eps in x 0.597 * [taylor]: Taking taylor expansion of (* (sin x) (cos eps)) in x 0.597 * [taylor]: Taking taylor expansion of (sin x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (cos eps) in x 0.597 * [taylor]: Taking taylor expansion of eps in x 0.598 * [taylor]: Taking taylor expansion of 0 in eps 0.600 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.600 * [taylor]: Taking taylor expansion of eps in eps 0.602 * [taylor]: Taking taylor expansion of 0 in eps 0.606 * [taylor]: Taking taylor expansion of (- (* 1/6 (cos eps))) in eps 0.607 * [taylor]: Taking taylor expansion of (* 1/6 (cos eps)) in eps 0.607 * [taylor]: Taking taylor expansion of 1/6 in eps 0.607 * [taylor]: Taking taylor expansion of (cos eps) in eps 0.607 * [taylor]: Taking taylor expansion of eps in eps 0.608 * [approximate]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in (x eps) around 0 0.608 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps 0.608 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 0.608 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.608 * [taylor]: Taking taylor expansion of eps in eps 0.608 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.608 * [taylor]: Taking taylor expansion of x in eps 0.608 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.609 * [taylor]: Taking taylor expansion of eps in x 0.609 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in x 0.609 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.609 * [taylor]: Taking taylor expansion of eps in x 0.609 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps 0.610 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 0.610 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.610 * [taylor]: Taking taylor expansion of eps in eps 0.610 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.610 * [taylor]: Taking taylor expansion of x in eps 0.612 * [taylor]: Taking taylor expansion of 0 in eps 0.616 * [taylor]: Taking taylor expansion of 0 in eps 0.621 * [taylor]: Taking taylor expansion of 0 in eps 0.622 * [approximate]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in (x eps) around 0 0.622 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in eps 0.622 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.622 * [taylor]: Taking taylor expansion of -1 in eps 0.622 * [taylor]: Taking taylor expansion of x in eps 0.622 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 0.622 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 0.622 * [taylor]: Taking taylor expansion of -1 in eps 0.622 * [taylor]: Taking taylor expansion of eps in eps 0.622 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in x 0.622 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of eps in x 0.623 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in x 0.623 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in x 0.623 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [taylor]: Taking taylor expansion of eps in x 0.624 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in eps 0.624 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 0.624 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.624 * [taylor]: Taking taylor expansion of -1 in eps 0.624 * [taylor]: Taking taylor expansion of x in eps 0.624 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 0.624 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 0.624 * [taylor]: Taking taylor expansion of -1 in eps 0.624 * [taylor]: Taking taylor expansion of eps in eps 0.626 * [taylor]: Taking taylor expansion of 0 in eps 0.630 * [taylor]: Taking taylor expansion of 0 in eps 0.635 * [taylor]: Taking taylor expansion of 0 in eps 0.636 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.636 * [approximate]: Taking taylor expansion of (* (sin eps) (cos x)) in (x eps) around 0 0.636 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 0.636 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.636 * [taylor]: Taking taylor expansion of eps in eps 0.636 * [taylor]: Taking taylor expansion of (cos x) in eps 0.636 * [taylor]: Taking taylor expansion of x in eps 0.636 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in x 0.636 * [taylor]: Taking taylor expansion of (sin eps) in x 0.636 * [taylor]: Taking taylor expansion of eps in x 0.636 * [taylor]: Taking taylor expansion of (cos x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in x 0.636 * [taylor]: Taking taylor expansion of (sin eps) in x 0.636 * [taylor]: Taking taylor expansion of eps in x 0.636 * [taylor]: Taking taylor expansion of (cos x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.636 * [taylor]: Taking taylor expansion of eps in eps 0.638 * [taylor]: Taking taylor expansion of 0 in eps 0.641 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps 0.641 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps 0.641 * [taylor]: Taking taylor expansion of 1/2 in eps 0.641 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.641 * [taylor]: Taking taylor expansion of eps in eps 0.645 * [taylor]: Taking taylor expansion of 0 in eps 0.648 * [approximate]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in (x eps) around 0 0.648 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 0.648 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in eps 0.648 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.648 * [taylor]: Taking taylor expansion of eps in eps 0.648 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.648 * [taylor]: Taking taylor expansion of x in eps 0.648 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x 0.648 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.648 * [taylor]: Taking taylor expansion of eps in x 0.648 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x 0.649 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.649 * [taylor]: Taking taylor expansion of eps in x 0.649 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 0.649 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in eps 0.649 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.649 * [taylor]: Taking taylor expansion of eps in eps 0.650 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.650 * [taylor]: Taking taylor expansion of x in eps 0.652 * [taylor]: Taking taylor expansion of 0 in eps 0.656 * [taylor]: Taking taylor expansion of 0 in eps 0.661 * [taylor]: Taking taylor expansion of 0 in eps 0.661 * [approximate]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in (x eps) around 0 0.661 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 0.661 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in eps 0.661 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 0.661 * [taylor]: Taking taylor expansion of -1 in eps 0.661 * [taylor]: Taking taylor expansion of eps in eps 0.661 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 0.661 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.661 * [taylor]: Taking taylor expansion of -1 in eps 0.661 * [taylor]: Taking taylor expansion of x in eps 0.662 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in x 0.662 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in x 0.662 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 0.662 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [taylor]: Taking taylor expansion of eps in x 0.662 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.662 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in x 0.662 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in x 0.662 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 0.662 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [taylor]: Taking taylor expansion of eps in x 0.662 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.662 * [taylor]: Taking taylor expansion of -1 in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (sin (/ -1 eps))) in eps 0.666 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 0.666 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.666 * [taylor]: Taking taylor expansion of -1 in eps 0.666 * [taylor]: Taking taylor expansion of x in eps 0.666 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in eps 0.666 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 0.666 * [taylor]: Taking taylor expansion of -1 in eps 0.666 * [taylor]: Taking taylor expansion of eps in eps 0.668 * [taylor]: Taking taylor expansion of 0 in eps 0.672 * [taylor]: Taking taylor expansion of 0 in eps 0.677 * [taylor]: Taking taylor expansion of 0 in eps 0.678 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.678 * [approximate]: Taking taylor expansion of (- (* (sin eps) (cos x)) (sin x)) in (x eps) around 0 0.678 * [taylor]: Taking taylor expansion of (- (* (sin eps) (cos x)) (sin x)) in eps 0.678 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 0.678 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.678 * [taylor]: Taking taylor expansion of eps in eps 0.678 * [taylor]: Taking taylor expansion of (cos x) in eps 0.678 * [taylor]: Taking taylor expansion of x in eps 0.678 * [taylor]: Taking taylor expansion of (sin x) in eps 0.678 * [taylor]: Taking taylor expansion of x in eps 0.678 * [taylor]: Taking taylor expansion of (- (* (sin eps) (cos x)) (sin x)) in x 0.678 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in x 0.678 * [taylor]: Taking taylor expansion of (sin eps) in x 0.678 * [taylor]: Taking taylor expansion of eps in x 0.678 * [taylor]: Taking taylor expansion of (cos x) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (sin x) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (- (* (sin eps) (cos x)) (sin x)) in x 0.678 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in x 0.678 * [taylor]: Taking taylor expansion of (sin eps) in x 0.678 * [taylor]: Taking taylor expansion of eps in x 0.678 * [taylor]: Taking taylor expansion of (cos x) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (sin x) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.679 * [taylor]: Taking taylor expansion of eps in eps 0.681 * [taylor]: Taking taylor expansion of -1 in eps 0.685 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps 0.685 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps 0.685 * [taylor]: Taking taylor expansion of 1/2 in eps 0.685 * [taylor]: Taking taylor expansion of (sin eps) in eps 0.685 * [taylor]: Taking taylor expansion of eps in eps 0.691 * [taylor]: Taking taylor expansion of 1/6 in eps 0.691 * [approximate]: Taking taylor expansion of (- (* (sin (/ 1 eps)) (cos (/ 1 x))) (sin (/ 1 x))) in (x eps) around 0 0.691 * [taylor]: Taking taylor expansion of (- (* (sin (/ 1 eps)) (cos (/ 1 x))) (sin (/ 1 x))) in eps 0.691 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 0.691 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in eps 0.691 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.691 * [taylor]: Taking taylor expansion of eps in eps 0.691 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.691 * [taylor]: Taking taylor expansion of x in eps 0.692 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.692 * [taylor]: Taking taylor expansion of x in eps 0.692 * [taylor]: Taking taylor expansion of (- (* (sin (/ 1 eps)) (cos (/ 1 x))) (sin (/ 1 x))) in x 0.692 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x 0.692 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.692 * [taylor]: Taking taylor expansion of eps in x 0.692 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (- (* (sin (/ 1 eps)) (cos (/ 1 x))) (sin (/ 1 x))) in x 0.692 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x 0.692 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 0.692 * [taylor]: Taking taylor expansion of eps in x 0.693 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (- (* (sin (/ 1 eps)) (cos (/ 1 x))) (sin (/ 1 x))) in eps 0.693 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 0.694 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in eps 0.694 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 0.694 * [taylor]: Taking taylor expansion of eps in eps 0.694 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.694 * [taylor]: Taking taylor expansion of x in eps 0.694 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 0.694 * [taylor]: Taking taylor expansion of x in eps 0.697 * [taylor]: Taking taylor expansion of 0 in eps 0.702 * [taylor]: Taking taylor expansion of 0 in eps 0.710 * [taylor]: Taking taylor expansion of 0 in eps 0.711 * [approximate]: Taking taylor expansion of (- (* (cos (/ -1 x)) (sin (/ -1 eps))) (sin (/ -1 x))) in (x eps) around 0 0.711 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 x)) (sin (/ -1 eps))) (sin (/ -1 x))) in eps 0.711 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (sin (/ -1 eps))) in eps 0.711 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 0.711 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.711 * [taylor]: Taking taylor expansion of -1 in eps 0.711 * [taylor]: Taking taylor expansion of x in eps 0.711 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in eps 0.711 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 0.711 * [taylor]: Taking taylor expansion of -1 in eps 0.711 * [taylor]: Taking taylor expansion of eps in eps 0.711 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 0.711 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.711 * [taylor]: Taking taylor expansion of -1 in eps 0.711 * [taylor]: Taking taylor expansion of x in eps 0.711 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 x)) (sin (/ -1 eps))) (sin (/ -1 x))) in x 0.711 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (sin (/ -1 eps))) in x 0.711 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.711 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.711 * [taylor]: Taking taylor expansion of -1 in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in x 0.712 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 0.712 * [taylor]: Taking taylor expansion of -1 in x 0.712 * [taylor]: Taking taylor expansion of eps in x 0.712 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.712 * [taylor]: Taking taylor expansion of -1 in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 x)) (sin (/ -1 eps))) (sin (/ -1 x))) in x 0.712 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (sin (/ -1 eps))) in x 0.712 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.712 * [taylor]: Taking taylor expansion of -1 in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in x 0.712 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [taylor]: Taking taylor expansion of eps in x 0.713 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (- (* (sin (/ -1 eps)) (cos (/ -1 x))) (sin (/ -1 x))) in eps 0.713 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 0.713 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in eps 0.713 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 0.713 * [taylor]: Taking taylor expansion of -1 in eps 0.713 * [taylor]: Taking taylor expansion of eps in eps 0.714 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 0.714 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.714 * [taylor]: Taking taylor expansion of -1 in eps 0.714 * [taylor]: Taking taylor expansion of x in eps 0.714 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 0.714 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 0.714 * [taylor]: Taking taylor expansion of -1 in eps 0.714 * [taylor]: Taking taylor expansion of x in eps 0.717 * [taylor]: Taking taylor expansion of 0 in eps 0.723 * [taylor]: Taking taylor expansion of 0 in eps 0.731 * [taylor]: Taking taylor expansion of 0 in eps 0.731 * * * [progress]: simplifying candidates 0.732 * [simplify]: Simplifying using # : (expm1 (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (log1p (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (* (exp (* (sin x) (cos eps))) (/ (exp (* (cos x) (sin eps))) (exp (sin x)))) (* (exp (* (sin x) (cos eps))) (exp (- (* (cos x) (sin eps)) (sin x)))) (log (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (exp (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (* (cbrt (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (cbrt (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))) (cbrt (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (* (* (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (sqrt (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (sqrt (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (+ (* (+ (sin (- x eps)) (sin (+ x eps))) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (+ (* (sin x) (sin x)) (* (* (cos x) (sin eps)) (sin x))))) (* 2 (- (pow (* (cos x) (sin eps)) 3) (pow (sin x) 3)))) (* 2 (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (+ (* (sin x) (sin x)) (* (* (cos x) (sin eps)) (sin x))))) (+ (* (+ (sin (- x eps)) (sin (+ x eps))) (+ (* (cos x) (sin eps)) (sin x))) (* 2 (- (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (* (sin x) (sin x))))) (* 2 (+ (* (cos x) (sin eps)) (sin x))) (+ (pow (* (sin x) (cos eps)) 3) (pow (- (* (cos x) (sin eps)) (sin x)) 3)) (+ (* (* (sin x) (cos eps)) (* (sin x) (cos eps))) (- (* (- (* (cos x) (sin eps)) (sin x)) (- (* (cos x) (sin eps)) (sin x))) (* (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))) (- (* (* (sin x) (cos eps)) (* (sin x) (cos eps))) (* (- (* (cos x) (sin eps)) (sin x)) (- (* (cos x) (sin eps)) (sin x)))) (- (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (+ (* (sin x) (cos eps)) (fma (cos x) (sin eps) (- (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x))))))) (+ (* (sin x) (cos eps)) (fma (cos x) (sin eps) (- (* (sqrt (sin x)) (sqrt (sin x)))))) (+ (* (sin x) (cos eps)) (fma (cos x) (sin eps) (- (* (sin x) 1)))) (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (expm1 (* (sin x) (cos eps))) (log1p (* (sin x) (cos eps))) (+ (sin (- x eps)) (sin (+ x eps))) (* (sin x) (cos eps)) (+ (log (sin x)) (log (cos eps))) (log (* (sin x) (cos eps))) (exp (* (sin x) (cos eps))) (* (* (* (sin x) (sin x)) (sin x)) (* (* (cos eps) (cos eps)) (cos eps))) (* (cbrt (* (sin x) (cos eps))) (cbrt (* (sin x) (cos eps)))) (cbrt (* (sin x) (cos eps))) (* (* (* (sin x) (cos eps)) (* (sin x) (cos eps))) (* (sin x) (cos eps))) (sqrt (* (sin x) (cos eps))) (sqrt (* (sin x) (cos eps))) (* (sqrt (sin x)) (sqrt (cos eps))) (* (sqrt (sin x)) (sqrt (cos eps))) (* (sin x) (* (cbrt (cos eps)) (cbrt (cos eps)))) (* (sin x) (sqrt (cos eps))) (* (sin x) 1) (* (cbrt (sin x)) (cos eps)) (* (sqrt (sin x)) (cos eps)) (* (sin x) (cos eps)) (expm1 (* (cos x) (sin eps))) (log1p (* (cos x) (sin eps))) (* (cos x) (sin eps)) (+ (log (cos x)) (log (sin eps))) (log (* (cos x) (sin eps))) (exp (* (cos x) (sin eps))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (sin eps) (sin eps)) (sin eps))) (* (cbrt (* (cos x) (sin eps))) (cbrt (* (cos x) (sin eps)))) (cbrt (* (cos x) (sin eps))) (* (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (* (cos x) (sin eps))) (sqrt (* (cos x) (sin eps))) (sqrt (* (cos x) (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (cos x) (* (cbrt (sin eps)) (cbrt (sin eps)))) (* (cos x) (sqrt (sin eps))) (* (cos x) 1) (* (cbrt (cos x)) (sin eps)) (* (sqrt (cos x)) (sin eps)) (* (cos x) (sin eps)) (fma (cos x) (sin eps) (- (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))))) (fma (- (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x))))) (fma (cos x) (sin eps) (- (* (sqrt (sin x)) (sqrt (sin x))))) (fma (- (sqrt (sin x))) (sqrt (sin x)) (* (sqrt (sin x)) (sqrt (sin x)))) (fma (cos x) (sin eps) (- (* (sin x) 1))) (fma (- (sin x)) 1 (* (sin x) 1)) (expm1 (- (* (cos x) (sin eps)) (sin x))) (log1p (- (* (cos x) (sin eps)) (sin x))) (- (sin x)) (/ (exp (* (cos x) (sin eps))) (exp (sin x))) (log (- (* (cos x) (sin eps)) (sin x))) (exp (- (* (cos x) (sin eps)) (sin x))) (* (cbrt (- (* (cos x) (sin eps)) (sin x))) (cbrt (- (* (cos x) (sin eps)) (sin x)))) (cbrt (- (* (cos x) (sin eps)) (sin x))) (* (* (- (* (cos x) (sin eps)) (sin x)) (- (* (cos x) (sin eps)) (sin x))) (- (* (cos x) (sin eps)) (sin x))) (sqrt (- (* (cos x) (sin eps)) (sin x))) (sqrt (- (* (cos x) (sin eps)) (sin x))) (- (pow (* (cos x) (sin eps)) 3) (pow (sin x) 3)) (+ (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (+ (* (sin x) (sin x)) (* (* (cos x) (sin eps)) (sin x)))) (- (sin x)) (- (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (* (sin x) (sin x))) (+ (* (cos x) (sin eps)) (sin x)) (- (sin x)) (- eps (+ (* 1/2 (* x (pow eps 2))) (* 1/2 (* (pow x 2) eps)))) (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) (- x (+ (* 1/2 (* x (pow eps 2))) (* 1/6 (pow x 3)))) (* (sin x) (cos eps)) (* (sin x) (cos eps)) (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* (pow x 2) eps)))) (* (sin eps) (cos x)) (* (sin eps) (cos x)) (- (+ (* 1/6 (pow x 3)) eps) x) (- (* (sin eps) (cos x)) (sin x)) (- (* (sin eps) (cos x)) (sin x)) 0.733 * [simplify]: Sending expressions to egg_math: (expm1 (+ (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0)))) (log1p (+ (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0)))) (* (exp (* (sin h0) (cos h1))) (/ (exp (* (cos h0) (sin h1))) (exp (sin h0)))) (* (exp (* (sin h0) (cos h1))) (exp (- (* (cos h0) (sin h1)) (sin h0)))) (log (+ (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0)))) (exp (+ (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0)))) (* (cbrt (+ (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0)))) (cbrt (+ (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0))))) (cbrt (+ (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0)))) (* (* (+ (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0))) (+ (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0)))) (+ (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0)))) (sqrt (+ (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0)))) (sqrt (+ (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0)))) (+ (* (+ (sin (- h0 h1)) (sin (+ h0 h1))) (+ (* (* (cos h0) (sin h1)) (* (cos h0) (sin h1))) (+ (* (sin h0) (sin h0)) (* (* (cos h0) (sin h1)) (sin h0))))) (* 2 (- (pow (* (cos h0) (sin h1)) 3) (pow (sin h0) 3)))) (* 2 (+ (* (* (cos h0) (sin h1)) (* (cos h0) (sin h1))) (+ (* (sin h0) (sin h0)) (* (* (cos h0) (sin h1)) (sin h0))))) (+ (* (+ (sin (- h0 h1)) (sin (+ h0 h1))) (+ (* (cos h0) (sin h1)) (sin h0))) (* 2 (- (* (* (cos h0) (sin h1)) (* (cos h0) (sin h1))) (* (sin h0) (sin h0))))) (* 2 (+ (* (cos h0) (sin h1)) (sin h0))) (+ (pow (* (sin h0) (cos h1)) 3) (pow (- (* (cos h0) (sin h1)) (sin h0)) 3)) (+ (* (* (sin h0) (cos h1)) (* (sin h0) (cos h1))) (- (* (- (* (cos h0) (sin h1)) (sin h0)) (- (* (cos h0) (sin h1)) (sin h0))) (* (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0))))) (- (* (* (sin h0) (cos h1)) (* (sin h0) (cos h1))) (* (- (* (cos h0) (sin h1)) (sin h0)) (- (* (cos h0) (sin h1)) (sin h0)))) (- (* (sin h0) (cos h1)) (- (* (cos h0) (sin h1)) (sin h0))) (+ (* (sin h0) (cos h1)) (fma (cos h0) (sin h1) (- (* (cbrt (sin h0)) (* (cbrt (sin h0)) (cbrt (sin h0))))))) (+ (* (sin h0) (cos h1)) (fma (cos h0) (sin h1) (- (* (sqrt (sin h0)) (sqrt (sin h0)))))) (+ (* (sin h0) (cos h1)) (fma (cos h0) (sin h1) (- (* (sin h0) 1)))) (+ (* (sin h0) (cos h1)) (* (cos h0) (sin h1))) (+ (* (sin h0) (cos h1)) (* (cos h0) (sin h1))) (+ (* (sin h0) (cos h1)) (* (cos h0) (sin h1))) (expm1 (* (sin h0) (cos h1))) (log1p (* (sin h0) (cos h1))) (+ (sin (- h0 h1)) (sin (+ h0 h1))) (* (sin h0) (cos h1)) (+ (log (sin h0)) (log (cos h1))) (log (* (sin h0) (cos h1))) (exp (* (sin h0) (cos h1))) (* (* (* (sin h0) (sin h0)) (sin h0)) (* (* (cos h1) (cos h1)) (cos h1))) (* (cbrt (* (sin h0) (cos h1))) (cbrt (* (sin h0) (cos h1)))) (cbrt (* (sin h0) (cos h1))) (* (* (* (sin h0) (cos h1)) (* (sin h0) (cos h1))) (* (sin h0) (cos h1))) (sqrt (* (sin h0) (cos h1))) (sqrt (* (sin h0) (cos h1))) (* (sqrt (sin h0)) (sqrt (cos h1))) (* (sqrt (sin h0)) (sqrt (cos h1))) (* (sin h0) (* (cbrt (cos h1)) (cbrt (cos h1)))) (* (sin h0) (sqrt (cos h1))) (* (sin h0) 1) (* (cbrt (sin h0)) (cos h1)) (* (sqrt (sin h0)) (cos h1)) (* (sin h0) (cos h1)) (expm1 (* (cos h0) (sin h1))) (log1p (* (cos h0) (sin h1))) (* (cos h0) (sin h1)) (+ (log (cos h0)) (log (sin h1))) (log (* (cos h0) (sin h1))) (exp (* (cos h0) (sin h1))) (* (* (* (cos h0) (cos h0)) (cos h0)) (* (* (sin h1) (sin h1)) (sin h1))) (* (cbrt (* (cos h0) (sin h1))) (cbrt (* (cos h0) (sin h1)))) (cbrt (* (cos h0) (sin h1))) (* (* (* (cos h0) (sin h1)) (* (cos h0) (sin h1))) (* (cos h0) (sin h1))) (sqrt (* (cos h0) (sin h1))) (sqrt (* (cos h0) (sin h1))) (* (sqrt (cos h0)) (sqrt (sin h1))) (* (sqrt (cos h0)) (sqrt (sin h1))) (* (cos h0) (* (cbrt (sin h1)) (cbrt (sin h1)))) (* (cos h0) (sqrt (sin h1))) (* (cos h0) 1) (* (cbrt (cos h0)) (sin h1)) (* (sqrt (cos h0)) (sin h1)) (* (cos h0) (sin h1)) (fma (cos h0) (sin h1) (- (* (cbrt (sin h0)) (* (cbrt (sin h0)) (cbrt (sin h0)))))) (fma (- (cbrt (sin h0))) (* (cbrt (sin h0)) (cbrt (sin h0))) (* (cbrt (sin h0)) (* (cbrt (sin h0)) (cbrt (sin h0))))) (fma (cos h0) (sin h1) (- (* (sqrt (sin h0)) (sqrt (sin h0))))) (fma (- (sqrt (sin h0))) (sqrt (sin h0)) (* (sqrt (sin h0)) (sqrt (sin h0)))) (fma (cos h0) (sin h1) (- (* (sin h0) 1))) (fma (- (sin h0)) 1 (* (sin h0) 1)) (expm1 (- (* (cos h0) (sin h1)) (sin h0))) (log1p (- (* (cos h0) (sin h1)) (sin h0))) (- (sin h0)) (/ (exp (* (cos h0) (sin h1))) (exp (sin h0))) (log (- (* (cos h0) (sin h1)) (sin h0))) (exp (- (* (cos h0) (sin h1)) (sin h0))) (* (cbrt (- (* (cos h0) (sin h1)) (sin h0))) (cbrt (- (* (cos h0) (sin h1)) (sin h0)))) (cbrt (- (* (cos h0) (sin h1)) (sin h0))) (* (* (- (* (cos h0) (sin h1)) (sin h0)) (- (* (cos h0) (sin h1)) (sin h0))) (- (* (cos h0) (sin h1)) (sin h0))) (sqrt (- (* (cos h0) (sin h1)) (sin h0))) (sqrt (- (* (cos h0) (sin h1)) (sin h0))) (- (pow (* (cos h0) (sin h1)) 3) (pow (sin h0) 3)) (+ (* (* (cos h0) (sin h1)) (* (cos h0) (sin h1))) (+ (* (sin h0) (sin h0)) (* (* (cos h0) (sin h1)) (sin h0)))) (- (sin h0)) (- (* (* (cos h0) (sin h1)) (* (cos h0) (sin h1))) (* (sin h0) (sin h0))) (+ (* (cos h0) (sin h1)) (sin h0)) (- (sin h0)) (- h1 (+ (* 1/2 (* h0 (pow h1 2))) (* 1/2 (* (pow h0 2) h1)))) (- (+ (* (sin h1) (cos h0)) (* (sin h0) (cos h1))) (sin h0)) (- (+ (* (sin h1) (cos h0)) (* (sin h0) (cos h1))) (sin h0)) (- h0 (+ (* 1/2 (* h0 (pow h1 2))) (* 1/6 (pow h0 3)))) (* (sin h0) (cos h1)) (* (sin h0) (cos h1)) (- h1 (+ (* 1/6 (pow h1 3)) (* 1/2 (* (pow h0 2) h1)))) (* (sin h1) (cos h0)) (* (sin h1) (cos h0)) (- (+ (* 1/6 (pow h0 3)) h1) h0) (- (* (sin h1) (cos h0)) (sin h0)) (- (* (sin h1) (cos h0)) (sin h0)) 0.738 * * [simplify]: iteration 0 : 414 enodes (cost 729 ) 0.746 * * [simplify]: iteration 1 : 1617 enodes (cost 662 ) 0.780 * * [simplify]: iteration 2 : 5002 enodes (cost 648 ) 0.783 * [simplify]: Simplified to: (expm1 (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (log1p (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (exp (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (exp (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (log (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (exp (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (* (cbrt (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (cbrt (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))))) (cbrt (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (pow (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps))) 3) (sqrt (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (sqrt (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (fma (fma (sin x) (fma (cos x) (sin eps) (sin x)) (* (* (cos x) (sin eps)) (* (cos x) (sin eps)))) (+ (sin (- x eps)) (sin (+ x eps))) (* 2 (- (pow (* (cos x) (sin eps)) 3) (pow (sin x) 3)))) (+ (* (* (* (cos x) (sin eps)) (fma (cos x) (sin eps) (sin x))) 2) (* (* (sin x) (sin x)) 2)) (* (fma (cos x) (sin eps) (sin x)) (+ (+ (sin (- x eps)) (sin (+ x eps))) (* (- (* (sin eps) (cos x)) (sin x)) 2))) (* (fma (cos x) (sin eps) (sin x)) 2) (+ (pow (* (sin x) (cos eps)) 3) (pow (- (* (cos x) (sin eps)) (sin x)) 3)) (fma (* (sin x) (sin x)) (* (cos eps) (cos eps)) (* (- (* (cos x) (sin eps)) (sin x)) (- (- (* (cos x) (sin eps)) (sin x)) (* (sin x) (cos eps))))) (* (fma (sin x) (cos eps) (- (* (cos x) (sin eps)) (sin x))) (- (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) (- (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps))) (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps))) (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps))) (fma (sin eps) (cos x) (* (sin x) (cos eps))) (fma (sin eps) (cos x) (* (sin x) (cos eps))) (fma (sin eps) (cos x) (* (sin x) (cos eps))) (expm1 (* (sin x) (cos eps))) (log1p (* (sin x) (cos eps))) (+ (sin (- x eps)) (sin (+ x eps))) (* (sin x) (cos eps)) (log (* (sin x) (cos eps))) (log (* (sin x) (cos eps))) (exp (* (sin x) (cos eps))) (pow (* (sin x) (cos eps)) 3) (* (cbrt (* (sin x) (cos eps))) (cbrt (* (sin x) (cos eps)))) (cbrt (* (sin x) (cos eps))) (pow (* (sin x) (cos eps)) 3) (sqrt (* (sin x) (cos eps))) (sqrt (* (sin x) (cos eps))) (* (sqrt (sin x)) (sqrt (cos eps))) (* (sqrt (sin x)) (sqrt (cos eps))) (* (sin x) (* (cbrt (cos eps)) (cbrt (cos eps)))) (* (sin x) (sqrt (cos eps))) (sin x) (* (cbrt (sin x)) (cos eps)) (* (sqrt (sin x)) (cos eps)) (* (sin x) (cos eps)) (expm1 (* (cos x) (sin eps))) (log1p (* (cos x) (sin eps))) (* (cos x) (sin eps)) (log (* (cos x) (sin eps))) (log (* (cos x) (sin eps))) (exp (* (cos x) (sin eps))) (pow (* (cos x) (sin eps)) 3) (* (cbrt (* (cos x) (sin eps))) (cbrt (* (cos x) (sin eps)))) (cbrt (* (cos x) (sin eps))) (pow (* (cos x) (sin eps)) 3) (sqrt (* (cos x) (sin eps))) (sqrt (* (cos x) (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (cos x) (* (cbrt (sin eps)) (cbrt (sin eps)))) (* (cos x) (sqrt (sin eps))) (cos x) (* (cbrt (cos x)) (sin eps)) (* (sqrt (cos x)) (sin eps)) (* (cos x) (sin eps)) (- (* (sin eps) (cos x)) (sin x)) (fma (- (sin x)) 1 (sin x)) (- (* (sin eps) (cos x)) (sin x)) (fma (- (sin x)) 1 (sin x)) (- (* (sin eps) (cos x)) (sin x)) (fma (- (sin x)) 1 (sin x)) (expm1 (- (* (cos x) (sin eps)) (sin x))) (log1p (- (* (cos x) (sin eps)) (sin x))) (- (sin x)) (exp (- (* (cos x) (sin eps)) (sin x))) (log (- (* (cos x) (sin eps)) (sin x))) (exp (- (* (cos x) (sin eps)) (sin x))) (* (cbrt (- (* (cos x) (sin eps)) (sin x))) (cbrt (- (* (cos x) (sin eps)) (sin x)))) (cbrt (- (* (cos x) (sin eps)) (sin x))) (pow (- (* (cos x) (sin eps)) (sin x)) 3) (sqrt (- (* (cos x) (sin eps)) (sin x))) (sqrt (- (* (cos x) (sin eps)) (sin x))) (- (pow (* (cos x) (sin eps)) 3) (pow (sin x) 3)) (+ (* (sin x) (sin x)) (* (* (cos x) (sin eps)) (fma (cos x) (sin eps) (sin x)))) (- (sin x)) (* (fma (cos x) (sin eps) (sin x)) (- (* (cos x) (sin eps)) (sin x))) (fma (cos x) (sin eps) (sin x)) (- (sin x)) (fma (- 1/2) (fma (pow eps 2) x (* (pow x 2) eps)) eps) (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps))) (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps))) (- x (+ (* 1/2 (* x (pow eps 2))) (* 1/6 (pow x 3)))) (* (sin x) (cos eps)) (* (sin x) (cos eps)) (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* (pow x 2) eps)))) (* (cos x) (sin eps)) (* (cos x) (sin eps)) (fma (pow x 3) 1/6 (- eps x)) (- (* (sin eps) (cos x)) (sin x)) (- (* (sin eps) (cos x)) (sin x)) 0.784 * * * [progress]: adding candidates to table 1.030 * * [progress]: iteration 3 / 4 1.030 * * * [progress]: picking best candidate 1.055 * * * * [pick]: Picked # 1.055 * * * [progress]: localizing error 1.074 * * * [progress]: generating rewritten candidates 1.074 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 1.082 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 3) 1.096 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.097 * * * [progress]: generating series expansions 1.098 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.098 * [approximate]: Taking taylor expansion of (- (cos eps) 1) in (eps) around 0 1.098 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in eps 1.098 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.098 * [taylor]: Taking taylor expansion of eps in eps 1.098 * [taylor]: Taking taylor expansion of 1 in eps 1.098 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in eps 1.098 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.098 * [taylor]: Taking taylor expansion of eps in eps 1.098 * [taylor]: Taking taylor expansion of 1 in eps 1.108 * [approximate]: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in (eps) around 0 1.108 * [taylor]: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps 1.108 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.108 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.108 * [taylor]: Taking taylor expansion of eps in eps 1.109 * [taylor]: Taking taylor expansion of 1 in eps 1.109 * [taylor]: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps 1.109 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.109 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.109 * [taylor]: Taking taylor expansion of eps in eps 1.109 * [taylor]: Taking taylor expansion of 1 in eps 1.112 * [approximate]: Taking taylor expansion of (- (cos (/ -1 eps)) 1) in (eps) around 0 1.112 * [taylor]: Taking taylor expansion of (- (cos (/ -1 eps)) 1) in eps 1.112 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.112 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.112 * [taylor]: Taking taylor expansion of -1 in eps 1.112 * [taylor]: Taking taylor expansion of eps in eps 1.112 * [taylor]: Taking taylor expansion of 1 in eps 1.112 * [taylor]: Taking taylor expansion of (- (cos (/ -1 eps)) 1) in eps 1.112 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.112 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.112 * [taylor]: Taking taylor expansion of -1 in eps 1.112 * [taylor]: Taking taylor expansion of eps in eps 1.113 * [taylor]: Taking taylor expansion of 1 in eps 1.115 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 3) 1.115 * [approximate]: Taking taylor expansion of (* (sin eps) (cos x)) in (x eps) around 0 1.115 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 1.116 * [taylor]: Taking taylor expansion of (sin eps) in eps 1.116 * [taylor]: Taking taylor expansion of eps in eps 1.116 * [taylor]: Taking taylor expansion of (cos x) in eps 1.116 * [taylor]: Taking taylor expansion of x in eps 1.116 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in x 1.116 * [taylor]: Taking taylor expansion of (sin eps) in x 1.116 * [taylor]: Taking taylor expansion of eps in x 1.116 * [taylor]: Taking taylor expansion of (cos x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in x 1.116 * [taylor]: Taking taylor expansion of (sin eps) in x 1.116 * [taylor]: Taking taylor expansion of eps in x 1.116 * [taylor]: Taking taylor expansion of (cos x) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (sin eps) in eps 1.116 * [taylor]: Taking taylor expansion of eps in eps 1.118 * [taylor]: Taking taylor expansion of 0 in eps 1.121 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps 1.121 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps 1.121 * [taylor]: Taking taylor expansion of 1/2 in eps 1.121 * [taylor]: Taking taylor expansion of (sin eps) in eps 1.121 * [taylor]: Taking taylor expansion of eps in eps 1.125 * [taylor]: Taking taylor expansion of 0 in eps 1.127 * [approximate]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in (x eps) around 0 1.127 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 1.127 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in eps 1.127 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.128 * [taylor]: Taking taylor expansion of eps in eps 1.128 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 1.128 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.128 * [taylor]: Taking taylor expansion of x in eps 1.128 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x 1.128 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.128 * [taylor]: Taking taylor expansion of eps in x 1.128 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x 1.128 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.128 * [taylor]: Taking taylor expansion of eps in x 1.128 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 1.129 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in eps 1.129 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.129 * [taylor]: Taking taylor expansion of eps in eps 1.129 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 1.129 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.129 * [taylor]: Taking taylor expansion of x in eps 1.131 * [taylor]: Taking taylor expansion of 0 in eps 1.135 * [taylor]: Taking taylor expansion of 0 in eps 1.141 * [taylor]: Taking taylor expansion of 0 in eps 1.141 * [approximate]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in (x eps) around 0 1.141 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 1.141 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in eps 1.141 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.141 * [taylor]: Taking taylor expansion of -1 in eps 1.141 * [taylor]: Taking taylor expansion of eps in eps 1.141 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 1.141 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 1.141 * [taylor]: Taking taylor expansion of -1 in eps 1.141 * [taylor]: Taking taylor expansion of x in eps 1.141 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in x 1.141 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in x 1.142 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 1.142 * [taylor]: Taking taylor expansion of -1 in x 1.142 * [taylor]: Taking taylor expansion of eps in x 1.142 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.142 * [taylor]: Taking taylor expansion of -1 in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in x 1.142 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in x 1.142 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 1.142 * [taylor]: Taking taylor expansion of -1 in x 1.142 * [taylor]: Taking taylor expansion of eps in x 1.142 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.142 * [taylor]: Taking taylor expansion of -1 in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (sin (/ -1 eps))) in eps 1.143 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 1.143 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 1.143 * [taylor]: Taking taylor expansion of -1 in eps 1.143 * [taylor]: Taking taylor expansion of x in eps 1.143 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in eps 1.143 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.143 * [taylor]: Taking taylor expansion of -1 in eps 1.143 * [taylor]: Taking taylor expansion of eps in eps 1.145 * [taylor]: Taking taylor expansion of 0 in eps 1.149 * [taylor]: Taking taylor expansion of 0 in eps 1.154 * [taylor]: Taking taylor expansion of 0 in eps 1.155 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.155 * [approximate]: Taking taylor expansion of (fma (sin x) (- (cos eps) 1) (* (sin eps) (cos x))) in (x eps) around 0 1.155 * [taylor]: Taking taylor expansion of (fma (sin x) (- (cos eps) 1) (* (sin eps) (cos x))) in eps 1.155 * [taylor]: Rewrote expression to (+ (* (sin x) (- (cos eps) 1)) (* (sin eps) (cos x))) 1.155 * [taylor]: Taking taylor expansion of (* (sin x) (- (cos eps) 1)) in eps 1.155 * [taylor]: Taking taylor expansion of (sin x) in eps 1.155 * [taylor]: Taking taylor expansion of x in eps 1.155 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in eps 1.155 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.155 * [taylor]: Taking taylor expansion of eps in eps 1.155 * [taylor]: Taking taylor expansion of 1 in eps 1.155 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in eps 1.155 * [taylor]: Taking taylor expansion of (sin eps) in eps 1.155 * [taylor]: Taking taylor expansion of eps in eps 1.155 * [taylor]: Taking taylor expansion of (cos x) in eps 1.155 * [taylor]: Taking taylor expansion of x in eps 1.155 * [taylor]: Taking taylor expansion of (fma (sin x) (- (cos eps) 1) (* (sin eps) (cos x))) in x 1.155 * [taylor]: Rewrote expression to (+ (* (sin x) (- (cos eps) 1)) (* (sin eps) (cos x))) 1.155 * [taylor]: Taking taylor expansion of (* (sin x) (- (cos eps) 1)) in x 1.155 * [taylor]: Taking taylor expansion of (sin x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in x 1.155 * [taylor]: Taking taylor expansion of (cos eps) in x 1.155 * [taylor]: Taking taylor expansion of eps in x 1.156 * [taylor]: Taking taylor expansion of 1 in x 1.156 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in x 1.156 * [taylor]: Taking taylor expansion of (sin eps) in x 1.156 * [taylor]: Taking taylor expansion of eps in x 1.156 * [taylor]: Taking taylor expansion of (cos x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (fma (sin x) (- (cos eps) 1) (* (sin eps) (cos x))) in x 1.156 * [taylor]: Rewrote expression to (+ (* (sin x) (- (cos eps) 1)) (* (sin eps) (cos x))) 1.156 * [taylor]: Taking taylor expansion of (* (sin x) (- (cos eps) 1)) in x 1.156 * [taylor]: Taking taylor expansion of (sin x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in x 1.156 * [taylor]: Taking taylor expansion of (cos eps) in x 1.156 * [taylor]: Taking taylor expansion of eps in x 1.156 * [taylor]: Taking taylor expansion of 1 in x 1.156 * [taylor]: Taking taylor expansion of (* (sin eps) (cos x)) in x 1.156 * [taylor]: Taking taylor expansion of (sin eps) in x 1.156 * [taylor]: Taking taylor expansion of eps in x 1.156 * [taylor]: Taking taylor expansion of (cos x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (sin eps) in eps 1.157 * [taylor]: Taking taylor expansion of eps in eps 1.161 * [taylor]: Taking taylor expansion of (- (cos eps) 1) in eps 1.161 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.161 * [taylor]: Taking taylor expansion of eps in eps 1.161 * [taylor]: Taking taylor expansion of 1 in eps 1.168 * [taylor]: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps 1.168 * [taylor]: Taking taylor expansion of (* 1/2 (sin eps)) in eps 1.168 * [taylor]: Taking taylor expansion of 1/2 in eps 1.168 * [taylor]: Taking taylor expansion of (sin eps) in eps 1.168 * [taylor]: Taking taylor expansion of eps in eps 1.177 * [taylor]: Taking taylor expansion of (- 1/6 (* 1/6 (cos eps))) in eps 1.177 * [taylor]: Taking taylor expansion of 1/6 in eps 1.177 * [taylor]: Taking taylor expansion of (* 1/6 (cos eps)) in eps 1.177 * [taylor]: Taking taylor expansion of 1/6 in eps 1.178 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.178 * [taylor]: Taking taylor expansion of eps in eps 1.181 * [approximate]: Taking taylor expansion of (fma (sin (/ 1 x)) (- (cos (/ 1 eps)) 1) (* (sin (/ 1 eps)) (cos (/ 1 x)))) in (x eps) around 0 1.181 * [taylor]: Taking taylor expansion of (fma (sin (/ 1 x)) (- (cos (/ 1 eps)) 1) (* (sin (/ 1 eps)) (cos (/ 1 x)))) in eps 1.181 * [taylor]: Rewrote expression to (+ (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) (* (sin (/ 1 eps)) (cos (/ 1 x)))) 1.181 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) in eps 1.181 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 1.181 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.181 * [taylor]: Taking taylor expansion of x in eps 1.181 * [taylor]: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in eps 1.181 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.181 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.184 * [taylor]: Taking taylor expansion of eps in eps 1.184 * [taylor]: Taking taylor expansion of 1 in eps 1.185 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 1.185 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in eps 1.185 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.185 * [taylor]: Taking taylor expansion of eps in eps 1.185 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 1.185 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.185 * [taylor]: Taking taylor expansion of x in eps 1.185 * [taylor]: Taking taylor expansion of (fma (sin (/ 1 x)) (- (cos (/ 1 eps)) 1) (* (sin (/ 1 eps)) (cos (/ 1 x)))) in x 1.185 * [taylor]: Rewrote expression to (+ (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) (* (sin (/ 1 eps)) (cos (/ 1 x)))) 1.185 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) in x 1.185 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.185 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in x 1.186 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.186 * [taylor]: Taking taylor expansion of eps in x 1.186 * [taylor]: Taking taylor expansion of 1 in x 1.186 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x 1.186 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.186 * [taylor]: Taking taylor expansion of eps in x 1.186 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of (fma (sin (/ 1 x)) (- (cos (/ 1 eps)) 1) (* (sin (/ 1 eps)) (cos (/ 1 x)))) in x 1.186 * [taylor]: Rewrote expression to (+ (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) (* (sin (/ 1 eps)) (cos (/ 1 x)))) 1.186 * [taylor]: Taking taylor expansion of (* (sin (/ 1 x)) (- (cos (/ 1 eps)) 1)) in x 1.186 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in x 1.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.186 * [taylor]: Taking taylor expansion of x in x 1.187 * [taylor]: Taking taylor expansion of (- (cos (/ 1 eps)) 1) in x 1.187 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.187 * [taylor]: Taking taylor expansion of eps in x 1.187 * [taylor]: Taking taylor expansion of 1 in x 1.187 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in x 1.187 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 eps) in x 1.187 * [taylor]: Taking taylor expansion of eps in x 1.187 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) (sin (/ 1 x))) in eps 1.188 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 eps)) (cos (/ 1 x))) (* (cos (/ 1 eps)) (sin (/ 1 x)))) in eps 1.188 * [taylor]: Taking taylor expansion of (* (sin (/ 1 eps)) (cos (/ 1 x))) in eps 1.188 * [taylor]: Taking taylor expansion of (sin (/ 1 eps)) in eps 1.188 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.188 * [taylor]: Taking taylor expansion of eps in eps 1.189 * [taylor]: Taking taylor expansion of (cos (/ 1 x)) in eps 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.189 * [taylor]: Taking taylor expansion of x in eps 1.189 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (sin (/ 1 x))) in eps 1.189 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.189 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.189 * [taylor]: Taking taylor expansion of eps in eps 1.189 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.189 * [taylor]: Taking taylor expansion of x in eps 1.189 * [taylor]: Taking taylor expansion of (sin (/ 1 x)) in eps 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in eps 1.189 * [taylor]: Taking taylor expansion of x in eps 1.194 * [taylor]: Taking taylor expansion of 0 in eps 1.205 * [taylor]: Taking taylor expansion of 0 in eps 1.218 * [taylor]: Taking taylor expansion of 0 in eps 1.218 * [approximate]: Taking taylor expansion of (fma (sin (/ -1 x)) (- (cos (/ -1 eps)) 1) (* (sin (/ -1 eps)) (cos (/ -1 x)))) in (x eps) around 0 1.218 * [taylor]: Taking taylor expansion of (fma (sin (/ -1 x)) (- (cos (/ -1 eps)) 1) (* (sin (/ -1 eps)) (cos (/ -1 x)))) in eps 1.219 * [taylor]: Rewrote expression to (+ (* (sin (/ -1 x)) (- (cos (/ -1 eps)) 1)) (* (sin (/ -1 eps)) (cos (/ -1 x)))) 1.219 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (- (cos (/ -1 eps)) 1)) in eps 1.219 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 1.219 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 1.219 * [taylor]: Taking taylor expansion of -1 in eps 1.219 * [taylor]: Taking taylor expansion of x in eps 1.219 * [taylor]: Taking taylor expansion of (- (cos (/ -1 eps)) 1) in eps 1.219 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.219 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.219 * [taylor]: Taking taylor expansion of -1 in eps 1.219 * [taylor]: Taking taylor expansion of eps in eps 1.219 * [taylor]: Taking taylor expansion of 1 in eps 1.219 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in eps 1.219 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in eps 1.219 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.219 * [taylor]: Taking taylor expansion of -1 in eps 1.219 * [taylor]: Taking taylor expansion of eps in eps 1.219 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 1.220 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 1.220 * [taylor]: Taking taylor expansion of -1 in eps 1.220 * [taylor]: Taking taylor expansion of x in eps 1.220 * [taylor]: Taking taylor expansion of (fma (sin (/ -1 x)) (- (cos (/ -1 eps)) 1) (* (sin (/ -1 eps)) (cos (/ -1 x)))) in x 1.220 * [taylor]: Rewrote expression to (+ (* (sin (/ -1 x)) (- (cos (/ -1 eps)) 1)) (* (sin (/ -1 eps)) (cos (/ -1 x)))) 1.220 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (- (cos (/ -1 eps)) 1)) in x 1.220 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.220 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.220 * [taylor]: Taking taylor expansion of -1 in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.220 * [taylor]: Taking taylor expansion of (- (cos (/ -1 eps)) 1) in x 1.220 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in x 1.220 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 1.220 * [taylor]: Taking taylor expansion of -1 in x 1.220 * [taylor]: Taking taylor expansion of eps in x 1.220 * [taylor]: Taking taylor expansion of 1 in x 1.220 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in x 1.220 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in x 1.220 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 1.220 * [taylor]: Taking taylor expansion of -1 in x 1.220 * [taylor]: Taking taylor expansion of eps in x 1.221 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.221 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.221 * [taylor]: Taking taylor expansion of -1 in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (fma (sin (/ -1 x)) (- (cos (/ -1 eps)) 1) (* (sin (/ -1 eps)) (cos (/ -1 x)))) in x 1.221 * [taylor]: Rewrote expression to (+ (* (sin (/ -1 x)) (- (cos (/ -1 eps)) 1)) (* (sin (/ -1 eps)) (cos (/ -1 x)))) 1.221 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (- (cos (/ -1 eps)) 1)) in x 1.221 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in x 1.221 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.221 * [taylor]: Taking taylor expansion of -1 in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (- (cos (/ -1 eps)) 1) in x 1.221 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in x 1.221 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 1.221 * [taylor]: Taking taylor expansion of -1 in x 1.221 * [taylor]: Taking taylor expansion of eps in x 1.222 * [taylor]: Taking taylor expansion of 1 in x 1.222 * [taylor]: Taking taylor expansion of (* (sin (/ -1 eps)) (cos (/ -1 x))) in x 1.222 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in x 1.222 * [taylor]: Taking taylor expansion of (/ -1 eps) in x 1.222 * [taylor]: Taking taylor expansion of -1 in x 1.222 * [taylor]: Taking taylor expansion of eps in x 1.222 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in x 1.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.222 * [taylor]: Taking taylor expansion of -1 in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of (- (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) (sin (/ -1 x))) in eps 1.223 * [taylor]: Taking taylor expansion of (+ (* (sin (/ -1 x)) (cos (/ -1 eps))) (* (cos (/ -1 x)) (sin (/ -1 eps)))) in eps 1.223 * [taylor]: Taking taylor expansion of (* (sin (/ -1 x)) (cos (/ -1 eps))) in eps 1.223 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 1.223 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 1.223 * [taylor]: Taking taylor expansion of -1 in eps 1.223 * [taylor]: Taking taylor expansion of x in eps 1.223 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.223 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.223 * [taylor]: Taking taylor expansion of -1 in eps 1.223 * [taylor]: Taking taylor expansion of eps in eps 1.224 * [taylor]: Taking taylor expansion of (* (cos (/ -1 x)) (sin (/ -1 eps))) in eps 1.224 * [taylor]: Taking taylor expansion of (cos (/ -1 x)) in eps 1.224 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 1.224 * [taylor]: Taking taylor expansion of -1 in eps 1.224 * [taylor]: Taking taylor expansion of x in eps 1.224 * [taylor]: Taking taylor expansion of (sin (/ -1 eps)) in eps 1.224 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.224 * [taylor]: Taking taylor expansion of -1 in eps 1.224 * [taylor]: Taking taylor expansion of eps in eps 1.224 * [taylor]: Taking taylor expansion of (sin (/ -1 x)) in eps 1.224 * [taylor]: Taking taylor expansion of (/ -1 x) in eps 1.224 * [taylor]: Taking taylor expansion of -1 in eps 1.224 * [taylor]: Taking taylor expansion of x in eps 1.229 * [taylor]: Taking taylor expansion of 0 in eps 1.239 * [taylor]: Taking taylor expansion of 0 in eps 1.253 * [taylor]: Taking taylor expansion of 0 in eps 1.253 * * * [progress]: simplifying candidates 1.254 * [simplify]: Simplifying using # : (fma (* (cbrt (cos eps)) (cbrt (cos eps))) (cbrt (cos eps)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (* (cbrt (cos eps)) (cbrt (cos eps))) (cbrt (cos eps)) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (* (cbrt (cos eps)) (cbrt (cos eps))) (cbrt (cos eps)) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (sqrt (cos eps)) (sqrt (cos eps)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (sqrt (cos eps)) (sqrt (cos eps)) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (sqrt (cos eps)) (sqrt (cos eps)) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma 1 (cos eps) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma 1 (cos eps) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma 1 (cos eps) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (expm1 (- (cos eps) 1)) (log1p (- (cos eps) 1)) (- 1) (- 1) (- 1) (/ (exp (cos eps)) (exp 1)) (log (- (cos eps) 1)) (exp (- (cos eps) 1)) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (cbrt (- (cos eps) 1)) (* (* (- (cos eps) 1) (- (cos eps) 1)) (- (cos eps) 1)) (sqrt (- (cos eps) 1)) (sqrt (- (cos eps) 1)) (- (pow (cos eps) 3) (pow 1 3)) (+ (* (cos eps) (cos eps)) (+ (* 1 1) (* (cos eps) 1))) (- 1) (- (* (cos eps) (cos eps)) (* 1 1)) (+ (cos eps) 1) (+ (sqrt (cos eps)) (sqrt 1)) (- (sqrt (cos eps)) (sqrt 1)) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (- (cos eps) 1) (- 1) (expm1 (* (cos x) (sin eps))) (log1p (* (cos x) (sin eps))) (* (cos x) (sin eps)) (+ (log (cos x)) (log (sin eps))) (log (* (cos x) (sin eps))) (exp (* (cos x) (sin eps))) (* (* (* (cos x) (cos x)) (cos x)) (* (* (sin eps) (sin eps)) (sin eps))) (* (cbrt (* (cos x) (sin eps))) (cbrt (* (cos x) (sin eps)))) (cbrt (* (cos x) (sin eps))) (* (* (* (cos x) (sin eps)) (* (cos x) (sin eps))) (* (cos x) (sin eps))) (sqrt (* (cos x) (sin eps))) (sqrt (* (cos x) (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (cos x) (* (cbrt (sin eps)) (cbrt (sin eps)))) (* (cos x) (sqrt (sin eps))) (* (cos x) 1) (* (cbrt (cos x)) (sin eps)) (* (sqrt (cos x)) (sin eps)) (* (cos x) (sin eps)) (expm1 (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (log1p (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (* (sin x) (- (cos eps) 1)) (log (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (exp (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (* (cbrt (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (cbrt (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps))))) (cbrt (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (* (* (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps))) (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (sqrt (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (sqrt (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) (- (cos eps) 1) (- (cos eps) 1) (- eps (+ (* 1/6 (pow eps 3)) (* 1/2 (* (pow x 2) eps)))) (* (sin eps) (cos x)) (* (sin eps) (cos x)) (- eps (+ (* 1/2 (* x (pow eps 2))) (* 1/2 (* (pow x 2) eps)))) (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) (- (+ (* (sin eps) (cos x)) (* (sin x) (cos eps))) (sin x)) 1.254 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (* (cbrt (cos h0)) (cbrt (cos h0))) (cbrt (cos h0)) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (sqrt (cos h0)) (sqrt (cos h0)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (sqrt (cos h0)) (sqrt (cos h0)) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (sqrt (cos h0)) (sqrt (cos h0)) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma 1 (cos h0) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma 1 (cos h0) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma 1 (cos h0) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (expm1 (- (cos h0) 1)) (log1p (- (cos h0) 1)) (- 1) (- 1) (- 1) (/ (exp (cos h0)) (exp 1)) (log (- (cos h0) 1)) (exp (- (cos h0) 1)) (* (cbrt (- (cos h0) 1)) (cbrt (- (cos h0) 1))) (cbrt (- (cos h0) 1)) (* (* (- (cos h0) 1) (- (cos h0) 1)) (- (cos h0) 1)) (sqrt (- (cos h0) 1)) (sqrt (- (cos h0) 1)) (- (pow (cos h0) 3) (pow 1 3)) (+ (* (cos h0) (cos h0)) (+ (* 1 1) (* (cos h0) 1))) (- 1) (- (* (cos h0) (cos h0)) (* 1 1)) (+ (cos h0) 1) (+ (sqrt (cos h0)) (sqrt 1)) (- (sqrt (cos h0)) (sqrt 1)) (+ (sqrt (cos h0)) 1) (- (sqrt (cos h0)) 1) (+ (sqrt (cos h0)) 1) (- (sqrt (cos h0)) 1) (- (cos h0) 1) (- 1) (expm1 (* (cos h1) (sin h0))) (log1p (* (cos h1) (sin h0))) (* (cos h1) (sin h0)) (+ (log (cos h1)) (log (sin h0))) (log (* (cos h1) (sin h0))) (exp (* (cos h1) (sin h0))) (* (* (* (cos h1) (cos h1)) (cos h1)) (* (* (sin h0) (sin h0)) (sin h0))) (* (cbrt (* (cos h1) (sin h0))) (cbrt (* (cos h1) (sin h0)))) (cbrt (* (cos h1) (sin h0))) (* (* (* (cos h1) (sin h0)) (* (cos h1) (sin h0))) (* (cos h1) (sin h0))) (sqrt (* (cos h1) (sin h0))) (sqrt (* (cos h1) (sin h0))) (* (sqrt (cos h1)) (sqrt (sin h0))) (* (sqrt (cos h1)) (sqrt (sin h0))) (* (cos h1) (* (cbrt (sin h0)) (cbrt (sin h0)))) (* (cos h1) (sqrt (sin h0))) (* (cos h1) 1) (* (cbrt (cos h1)) (sin h0)) (* (sqrt (cos h1)) (sin h0)) (* (cos h1) (sin h0)) (expm1 (fma (sin h1) (- (cos h0) 1) (* (cos h1) (sin h0)))) (log1p (fma (sin h1) (- (cos h0) 1) (* (cos h1) (sin h0)))) (* (sin h1) (- (cos h0) 1)) (log (fma (sin h1) (- (cos h0) 1) (* (cos h1) (sin h0)))) (exp (fma (sin h1) (- (cos h0) 1) (* (cos h1) (sin h0)))) (* (cbrt (fma (sin h1) (- (cos h0) 1) (* (cos h1) (sin h0)))) (cbrt (fma (sin h1) (- (cos h0) 1) (* (cos h1) (sin h0))))) (cbrt (fma (sin h1) (- (cos h0) 1) (* (cos h1) (sin h0)))) (* (* (fma (sin h1) (- (cos h0) 1) (* (cos h1) (sin h0))) (fma (sin h1) (- (cos h0) 1) (* (cos h1) (sin h0)))) (fma (sin h1) (- (cos h0) 1) (* (cos h1) (sin h0)))) (sqrt (fma (sin h1) (- (cos h0) 1) (* (cos h1) (sin h0)))) (sqrt (fma (sin h1) (- (cos h0) 1) (* (cos h1) (sin h0)))) (- (* 1/24 (pow h0 4)) (+ (* 1/2 (pow h0 2)) (* 1/720 (pow h0 6)))) (- (cos h0) 1) (- (cos h0) 1) (- h0 (+ (* 1/6 (pow h0 3)) (* 1/2 (* (pow h1 2) h0)))) (* (sin h0) (cos h1)) (* (sin h0) (cos h1)) (- h0 (+ (* 1/2 (* h1 (pow h0 2))) (* 1/2 (* (pow h1 2) h0)))) (- (+ (* (sin h0) (cos h1)) (* (sin h1) (cos h0))) (sin h1)) (- (+ (* (sin h0) (cos h1)) (* (sin h1) (cos h0))) (sin h1)) 1.259 * * [simplify]: iteration 0 : 276 enodes (cost 442 ) 1.265 * * [simplify]: iteration 1 : 932 enodes (cost 347 ) 1.281 * * [simplify]: iteration 2 : 3460 enodes (cost 325 ) 1.350 * * [simplify]: iteration 3 : 5001 enodes (cost 303 ) 1.352 * [simplify]: Simplified to: (- (cos eps) 1) 0 (- (cos eps) 1) 0 (- (cos eps) 1) 0 (- (cos eps) 1) 0 (- (cos eps) 1) 0 (- (cos eps) 1) 0 (- (cos eps) 1) 0 (- (cos eps) 1) 0 (- (cos eps) 1) 0 (expm1 (- (cos eps) 1)) (log1p (- (cos eps) 1)) (- 1) (- 1) (- 1) (exp (- (cos eps) 1)) (log (- (cos eps) 1)) (exp (- (cos eps) 1)) (* (cbrt (- (cos eps) 1)) (cbrt (- (cos eps) 1))) (cbrt (- (cos eps) 1)) (pow (- (cos eps) 1) 3) (sqrt (- (cos eps) 1)) (sqrt (- (cos eps) 1)) (- (pow (cos eps) 3) 1) (fma (cos eps) (+ (cos eps) 1) 1) (- 1) (- (* (cos eps) (cos eps)) 1) (+ (cos eps) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (+ (sqrt (cos eps)) 1) (- (sqrt (cos eps)) 1) (- (cos eps) 1) (- 1) (expm1 (* (cos x) (sin eps))) (log1p (* (cos x) (sin eps))) (* (cos x) (sin eps)) (log (* (cos x) (sin eps))) (log (* (cos x) (sin eps))) (exp (* (cos x) (sin eps))) (pow (* (cos x) (sin eps)) 3) (* (cbrt (* (cos x) (sin eps))) (cbrt (* (cos x) (sin eps)))) (cbrt (* (cos x) (sin eps))) (pow (* (cos x) (sin eps)) 3) (sqrt (* (cos x) (sin eps))) (sqrt (* (cos x) (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (sqrt (cos x)) (sqrt (sin eps))) (* (cos x) (* (cbrt (sin eps)) (cbrt (sin eps)))) (* (cos x) (sqrt (sin eps))) (cos x) (* (cbrt (cos x)) (sin eps)) (* (sqrt (cos x)) (sin eps)) (* (cos x) (sin eps)) (expm1 (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (log1p (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (* (sin x) (- (cos eps) 1)) (log (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (exp (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (* (cbrt (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (cbrt (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps))))) (cbrt (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (pow (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps))) 3) (sqrt (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (sqrt (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps)))) (fma 1/24 (pow eps 4) (- (fma 1/2 (pow eps 2) (* 1/720 (pow eps 6))))) (- (cos eps) 1) (- (cos eps) 1) (- eps (fma 1/6 (pow eps 3) (* 1/2 (* (pow x 2) eps)))) (* (cos x) (sin eps)) (* (cos x) (sin eps)) (fma (- 1/2) (fma (pow eps 2) x (* (pow x 2) eps)) eps) (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps))) (fma (sin x) (- (cos eps) 1) (* (cos x) (sin eps))) 1.353 * * * [progress]: adding candidates to table 1.554 * * [progress]: iteration 4 / 4 1.554 * * * [progress]: picking best candidate 1.596 * * * * [pick]: Picked # 1.596 * * * [progress]: localizing error 1.622 * * * [progress]: generating rewritten candidates 1.622 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 1.643 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 2) 1.650 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 1.653 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.708 * * * [progress]: generating series expansions 1.708 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 1.709 * [approximate]: Taking taylor expansion of (- (pow (cos eps) 3) 1) in (eps) around 0 1.709 * [taylor]: Taking taylor expansion of (- (pow (cos eps) 3) 1) in eps 1.709 * [taylor]: Taking taylor expansion of (pow (cos eps) 3) in eps 1.709 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.709 * [taylor]: Taking taylor expansion of eps in eps 1.709 * [taylor]: Taking taylor expansion of 1 in eps 1.709 * [taylor]: Taking taylor expansion of (- (pow (cos eps) 3) 1) in eps 1.709 * [taylor]: Taking taylor expansion of (pow (cos eps) 3) in eps 1.709 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.709 * [taylor]: Taking taylor expansion of eps in eps 1.709 * [taylor]: Taking taylor expansion of 1 in eps 1.732 * [approximate]: Taking taylor expansion of (- (pow (cos (/ 1 eps)) 3) 1) in (eps) around 0 1.733 * [taylor]: Taking taylor expansion of (- (pow (cos (/ 1 eps)) 3) 1) in eps 1.733 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 eps)) 3) in eps 1.733 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.733 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.733 * [taylor]: Taking taylor expansion of eps in eps 1.733 * [taylor]: Taking taylor expansion of 1 in eps 1.733 * [taylor]: Taking taylor expansion of (- (pow (cos (/ 1 eps)) 3) 1) in eps 1.733 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 eps)) 3) in eps 1.733 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.733 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.733 * [taylor]: Taking taylor expansion of eps in eps 1.733 * [taylor]: Taking taylor expansion of 1 in eps 1.744 * [approximate]: Taking taylor expansion of (- (pow (cos (/ -1 eps)) 3) 1) in (eps) around 0 1.744 * [taylor]: Taking taylor expansion of (- (pow (cos (/ -1 eps)) 3) 1) in eps 1.744 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 eps)) 3) in eps 1.744 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.744 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.744 * [taylor]: Taking taylor expansion of -1 in eps 1.744 * [taylor]: Taking taylor expansion of eps in eps 1.744 * [taylor]: Taking taylor expansion of 1 in eps 1.744 * [taylor]: Taking taylor expansion of (- (pow (cos (/ -1 eps)) 3) 1) in eps 1.744 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 eps)) 3) in eps 1.744 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.744 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.744 * [taylor]: Taking taylor expansion of -1 in eps 1.744 * [taylor]: Taking taylor expansion of eps in eps 1.745 * [taylor]: Taking taylor expansion of 1 in eps 1.755 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 2) 1.755 * [approximate]: Taking taylor expansion of (+ 1 (cos eps)) in (eps) around 0 1.755 * [taylor]: Taking taylor expansion of (+ 1 (cos eps)) in eps 1.755 * [taylor]: Taking taylor expansion of 1 in eps 1.755 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.755 * [taylor]: Taking taylor expansion of eps in eps 1.755 * [taylor]: Taking taylor expansion of (+ 1 (cos eps)) in eps 1.756 * [taylor]: Taking taylor expansion of 1 in eps 1.756 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.756 * [taylor]: Taking taylor expansion of eps in eps 1.760 * [approximate]: Taking taylor expansion of (+ (cos (/ 1 eps)) 1) in (eps) around 0 1.760 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 eps)) 1) in eps 1.760 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.760 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.760 * [taylor]: Taking taylor expansion of eps in eps 1.760 * [taylor]: Taking taylor expansion of 1 in eps 1.760 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 eps)) 1) in eps 1.760 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.760 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.760 * [taylor]: Taking taylor expansion of eps in eps 1.761 * [taylor]: Taking taylor expansion of 1 in eps 1.762 * [approximate]: Taking taylor expansion of (+ (cos (/ -1 eps)) 1) in (eps) around 0 1.762 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 eps)) 1) in eps 1.762 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.762 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.762 * [taylor]: Taking taylor expansion of -1 in eps 1.762 * [taylor]: Taking taylor expansion of eps in eps 1.762 * [taylor]: Taking taylor expansion of 1 in eps 1.762 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 eps)) 1) in eps 1.762 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.762 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.762 * [taylor]: Taking taylor expansion of -1 in eps 1.762 * [taylor]: Taking taylor expansion of eps in eps 1.763 * [taylor]: Taking taylor expansion of 1 in eps 1.764 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 1.765 * [approximate]: Taking taylor expansion of (pow (cos eps) 3) in (eps) around 0 1.765 * [taylor]: Taking taylor expansion of (pow (cos eps) 3) in eps 1.765 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.765 * [taylor]: Taking taylor expansion of eps in eps 1.765 * [taylor]: Taking taylor expansion of (pow (cos eps) 3) in eps 1.765 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.765 * [taylor]: Taking taylor expansion of eps in eps 1.773 * [approximate]: Taking taylor expansion of (pow (cos (/ 1 eps)) 3) in (eps) around 0 1.773 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 eps)) 3) in eps 1.773 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.773 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.773 * [taylor]: Taking taylor expansion of eps in eps 1.773 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 eps)) 3) in eps 1.773 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.773 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.773 * [taylor]: Taking taylor expansion of eps in eps 1.782 * [approximate]: Taking taylor expansion of (pow (cos (/ -1 eps)) 3) in (eps) around 0 1.782 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 eps)) 3) in eps 1.782 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.782 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.782 * [taylor]: Taking taylor expansion of -1 in eps 1.782 * [taylor]: Taking taylor expansion of eps in eps 1.782 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 eps)) 3) in eps 1.782 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.782 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.782 * [taylor]: Taking taylor expansion of -1 in eps 1.782 * [taylor]: Taking taylor expansion of eps in eps 1.790 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.790 * [approximate]: Taking taylor expansion of (/ (- (pow (cos eps) 3) 1) (fma (cos eps) (+ 1 (cos eps)) 1)) in (eps) around 0 1.791 * [taylor]: Taking taylor expansion of (/ (- (pow (cos eps) 3) 1) (fma (cos eps) (+ 1 (cos eps)) 1)) in eps 1.791 * [taylor]: Taking taylor expansion of (- (pow (cos eps) 3) 1) in eps 1.791 * [taylor]: Taking taylor expansion of (pow (cos eps) 3) in eps 1.791 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.791 * [taylor]: Taking taylor expansion of eps in eps 1.791 * [taylor]: Taking taylor expansion of 1 in eps 1.791 * [taylor]: Taking taylor expansion of (fma (cos eps) (+ 1 (cos eps)) 1) in eps 1.791 * [taylor]: Rewrote expression to (+ (* (cos eps) (+ 1 (cos eps))) 1) 1.791 * [taylor]: Taking taylor expansion of (* (cos eps) (+ 1 (cos eps))) in eps 1.791 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.791 * [taylor]: Taking taylor expansion of eps in eps 1.791 * [taylor]: Taking taylor expansion of (+ 1 (cos eps)) in eps 1.791 * [taylor]: Taking taylor expansion of 1 in eps 1.791 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.791 * [taylor]: Taking taylor expansion of eps in eps 1.791 * [taylor]: Taking taylor expansion of 1 in eps 1.796 * [taylor]: Taking taylor expansion of (/ (- (pow (cos eps) 3) 1) (fma (cos eps) (+ 1 (cos eps)) 1)) in eps 1.796 * [taylor]: Taking taylor expansion of (- (pow (cos eps) 3) 1) in eps 1.796 * [taylor]: Taking taylor expansion of (pow (cos eps) 3) in eps 1.796 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.796 * [taylor]: Taking taylor expansion of eps in eps 1.796 * [taylor]: Taking taylor expansion of 1 in eps 1.796 * [taylor]: Taking taylor expansion of (fma (cos eps) (+ 1 (cos eps)) 1) in eps 1.796 * [taylor]: Rewrote expression to (+ (* (cos eps) (+ 1 (cos eps))) 1) 1.796 * [taylor]: Taking taylor expansion of (* (cos eps) (+ 1 (cos eps))) in eps 1.796 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.796 * [taylor]: Taking taylor expansion of eps in eps 1.796 * [taylor]: Taking taylor expansion of (+ 1 (cos eps)) in eps 1.796 * [taylor]: Taking taylor expansion of 1 in eps 1.796 * [taylor]: Taking taylor expansion of (cos eps) in eps 1.796 * [taylor]: Taking taylor expansion of eps in eps 1.796 * [taylor]: Taking taylor expansion of 1 in eps 1.831 * [approximate]: Taking taylor expansion of (/ (- (pow (cos (/ 1 eps)) 3) 1) (fma (cos (/ 1 eps)) (+ (cos (/ 1 eps)) 1) 1)) in (eps) around 0 1.831 * [taylor]: Taking taylor expansion of (/ (- (pow (cos (/ 1 eps)) 3) 1) (fma (cos (/ 1 eps)) (+ (cos (/ 1 eps)) 1) 1)) in eps 1.831 * [taylor]: Taking taylor expansion of (- (pow (cos (/ 1 eps)) 3) 1) in eps 1.831 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 eps)) 3) in eps 1.831 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.831 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.831 * [taylor]: Taking taylor expansion of eps in eps 1.832 * [taylor]: Taking taylor expansion of 1 in eps 1.832 * [taylor]: Taking taylor expansion of (fma (cos (/ 1 eps)) (+ (cos (/ 1 eps)) 1) 1) in eps 1.832 * [taylor]: Rewrote expression to (+ (* (cos (/ 1 eps)) (+ (cos (/ 1 eps)) 1)) 1) 1.832 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (+ (cos (/ 1 eps)) 1)) in eps 1.832 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.832 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.832 * [taylor]: Taking taylor expansion of eps in eps 1.832 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 eps)) 1) in eps 1.832 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.832 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.832 * [taylor]: Taking taylor expansion of eps in eps 1.832 * [taylor]: Taking taylor expansion of 1 in eps 1.832 * [taylor]: Taking taylor expansion of 1 in eps 1.833 * [taylor]: Taking taylor expansion of (/ (- (pow (cos (/ 1 eps)) 3) 1) (fma (cos (/ 1 eps)) (+ (cos (/ 1 eps)) 1) 1)) in eps 1.833 * [taylor]: Taking taylor expansion of (- (pow (cos (/ 1 eps)) 3) 1) in eps 1.833 * [taylor]: Taking taylor expansion of (pow (cos (/ 1 eps)) 3) in eps 1.833 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.833 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.833 * [taylor]: Taking taylor expansion of eps in eps 1.834 * [taylor]: Taking taylor expansion of 1 in eps 1.834 * [taylor]: Taking taylor expansion of (fma (cos (/ 1 eps)) (+ (cos (/ 1 eps)) 1) 1) in eps 1.834 * [taylor]: Rewrote expression to (+ (* (cos (/ 1 eps)) (+ (cos (/ 1 eps)) 1)) 1) 1.834 * [taylor]: Taking taylor expansion of (* (cos (/ 1 eps)) (+ (cos (/ 1 eps)) 1)) in eps 1.834 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.834 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.834 * [taylor]: Taking taylor expansion of eps in eps 1.834 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 eps)) 1) in eps 1.834 * [taylor]: Taking taylor expansion of (cos (/ 1 eps)) in eps 1.834 * [taylor]: Taking taylor expansion of (/ 1 eps) in eps 1.834 * [taylor]: Taking taylor expansion of eps in eps 1.835 * [taylor]: Taking taylor expansion of 1 in eps 1.835 * [taylor]: Taking taylor expansion of 1 in eps 1.859 * [approximate]: Taking taylor expansion of (/ (- (pow (cos (/ -1 eps)) 3) 1) (fma (cos (/ -1 eps)) (+ (cos (/ -1 eps)) 1) 1)) in (eps) around 0 1.859 * [taylor]: Taking taylor expansion of (/ (- (pow (cos (/ -1 eps)) 3) 1) (fma (cos (/ -1 eps)) (+ (cos (/ -1 eps)) 1) 1)) in eps 1.859 * [taylor]: Taking taylor expansion of (- (pow (cos (/ -1 eps)) 3) 1) in eps 1.859 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 eps)) 3) in eps 1.859 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.859 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.859 * [taylor]: Taking taylor expansion of -1 in eps 1.859 * [taylor]: Taking taylor expansion of eps in eps 1.859 * [taylor]: Taking taylor expansion of 1 in eps 1.859 * [taylor]: Taking taylor expansion of (fma (cos (/ -1 eps)) (+ (cos (/ -1 eps)) 1) 1) in eps 1.859 * [taylor]: Rewrote expression to (+ (* (cos (/ -1 eps)) (+ (cos (/ -1 eps)) 1)) 1) 1.859 * [taylor]: Taking taylor expansion of (* (cos (/ -1 eps)) (+ (cos (/ -1 eps)) 1)) in eps 1.859 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.859 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.859 * [taylor]: Taking taylor expansion of -1 in eps 1.859 * [taylor]: Taking taylor expansion of eps in eps 1.860 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 eps)) 1) in eps 1.860 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.860 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.860 * [taylor]: Taking taylor expansion of -1 in eps 1.860 * [taylor]: Taking taylor expansion of eps in eps 1.860 * [taylor]: Taking taylor expansion of 1 in eps 1.860 * [taylor]: Taking taylor expansion of 1 in eps 1.861 * [taylor]: Taking taylor expansion of (/ (- (pow (cos (/ -1 eps)) 3) 1) (fma (cos (/ -1 eps)) (+ (cos (/ -1 eps)) 1) 1)) in eps 1.861 * [taylor]: Taking taylor expansion of (- (pow (cos (/ -1 eps)) 3) 1) in eps 1.861 * [taylor]: Taking taylor expansion of (pow (cos (/ -1 eps)) 3) in eps 1.861 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.861 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.861 * [taylor]: Taking taylor expansion of -1 in eps 1.861 * [taylor]: Taking taylor expansion of eps in eps 1.861 * [taylor]: Taking taylor expansion of 1 in eps 1.861 * [taylor]: Taking taylor expansion of (fma (cos (/ -1 eps)) (+ (cos (/ -1 eps)) 1) 1) in eps 1.862 * [taylor]: Rewrote expression to (+ (* (cos (/ -1 eps)) (+ (cos (/ -1 eps)) 1)) 1) 1.862 * [taylor]: Taking taylor expansion of (* (cos (/ -1 eps)) (+ (cos (/ -1 eps)) 1)) in eps 1.862 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.862 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.862 * [taylor]: Taking taylor expansion of -1 in eps 1.862 * [taylor]: Taking taylor expansion of eps in eps 1.862 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 eps)) 1) in eps 1.862 * [taylor]: Taking taylor expansion of (cos (/ -1 eps)) in eps 1.862 * [taylor]: Taking taylor expansion of (/ -1 eps) in eps 1.862 * [taylor]: Taking taylor expansion of -1 in eps 1.862 * [taylor]: Taking taylor expansion of eps in eps 1.862 * [taylor]: Taking taylor expansion of 1 in eps 1.862 * [taylor]: Taking taylor expansion of 1 in eps 1.886 * * * [progress]: simplifying candidates 1.889 * [simplify]: Simplifying using # : (fma (pow (* (cbrt (cos eps)) (cbrt (cos eps))) 3) (pow (cbrt (cos eps)) 3) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (pow (* (cbrt (cos eps)) (cbrt (cos eps))) 3) (pow (cbrt (cos eps)) 3) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (pow (* (cbrt (cos eps)) (cbrt (cos eps))) 3) (pow (cbrt (cos eps)) 3) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (pow (sqrt (cos eps)) 3) (pow (sqrt (cos eps)) 3) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (pow (sqrt (cos eps)) 3) (pow (sqrt (cos eps)) 3) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (pow (sqrt (cos eps)) 3) (pow (sqrt (cos eps)) 3) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (pow 1 3) (pow (cos eps) 3) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (pow 1 3) (pow (cos eps) 3) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (pow 1 3) (pow (cos eps) 3) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (* (cos eps) (cos eps)) (cos eps) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (* (cos eps) (cos eps)) (cos eps) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (* (cos eps) (cos eps)) (cos eps) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (* (cbrt (pow (cos eps) 3)) (cbrt (pow (cos eps) 3))) (cbrt (pow (cos eps) 3)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (* (cbrt (pow (cos eps) 3)) (cbrt (pow (cos eps) 3))) (cbrt (pow (cos eps) 3)) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (* (cbrt (pow (cos eps) 3)) (cbrt (pow (cos eps) 3))) (cbrt (pow (cos eps) 3)) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (pow (* (cbrt (cos eps)) (cbrt (cos eps))) 3) (pow (cbrt (cos eps)) 3) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (pow (* (cbrt (cos eps)) (cbrt (cos eps))) 3) (pow (cbrt (cos eps)) 3) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (pow (* (cbrt (cos eps)) (cbrt (cos eps))) 3) (pow (cbrt (cos eps)) 3) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (pow (sqrt (cos eps)) 3) (pow (sqrt (cos eps)) 3) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (pow (sqrt (cos eps)) 3) (pow (sqrt (cos eps)) 3) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (pow (sqrt (cos eps)) 3) (pow (sqrt (cos eps)) 3) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (pow 1 3) (pow (cos eps) 3) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (pow 1 3) (pow (cos eps) 3) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (pow 1 3) (pow (cos eps) 3) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (cos eps) (* (cos eps) (cos eps)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (cos eps) (* (cos eps) (cos eps)) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (cos eps) (* (cos eps) (cos eps)) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (sqrt (pow (cos eps) 3)) (sqrt (pow (cos eps) 3)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (sqrt (pow (cos eps) 3)) (sqrt (pow (cos eps) 3)) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (sqrt (pow (cos eps) 3)) (sqrt (pow (cos eps) 3)) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma 1 (pow (cos eps) 3) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma 1 (pow (cos eps) 3) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma 1 (pow (cos eps) 3) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (pow (cos eps) (/ 3 2)) (pow (cos eps) (/ 3 2)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (pow (cos eps) (/ 3 2)) (pow (cos eps) (/ 3 2)) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (pow (cos eps) (/ 3 2)) (pow (cos eps) (/ 3 2)) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (expm1 (- (pow (cos eps) 3) 1)) (log1p (- (pow (cos eps) 3) 1)) (- 1) (- 1) (- 1) (- 1) (- 1) (- 1) (- 1) (- 1) (- 1) (- 1) (- 1) (- 1) (/ (exp (pow (cos eps) 3)) (exp 1)) (log (- (pow (cos eps) 3) 1)) (exp (- (pow (cos eps) 3) 1)) (* (cbrt (- (pow (cos eps) 3) 1)) (cbrt (- (pow (cos eps) 3) 1))) (cbrt (- (pow (cos eps) 3) 1)) (* (* (- (pow (cos eps) 3) 1) (- (pow (cos eps) 3) 1)) (- (pow (cos eps) 3) 1)) (sqrt (- (pow (cos eps) 3) 1)) (sqrt (- (pow (cos eps) 3) 1)) (- (pow (pow (cos eps) 3) 3) (pow 1 3)) (+ (* (pow (cos eps) 3) (pow (cos eps) 3)) (+ (* 1 1) (* (pow (cos eps) 3) 1))) (- 1) (- (* (pow (cos eps) 3) (pow (cos eps) 3)) (* 1 1)) (+ (pow (cos eps) 3) 1) (+ (pow (sqrt (cos eps)) 3) (sqrt 1)) (- (pow (sqrt (cos eps)) 3) (sqrt 1)) (+ (pow (sqrt (cos eps)) 3) 1) (- (pow (sqrt (cos eps)) 3) 1) (+ (pow (sqrt (cos eps)) 3) (sqrt 1)) (- (pow (sqrt (cos eps)) 3) (sqrt 1)) (+ (pow (sqrt (cos eps)) 3) 1) (- (pow (sqrt (cos eps)) 3) 1) (+ (sqrt (pow (cos eps) 3)) (sqrt 1)) (- (sqrt (pow (cos eps) 3)) 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eps 6)))) (- (pow (cos eps) 3) 1) (- (pow (cos eps) 3) 1) (- (+ (* 1/24 (pow eps 4)) 2) (* 1/2 (pow eps 2))) (+ 1 (cos eps)) (+ 1 (cos eps)) (- (+ (* 7/8 (pow eps 4)) 1) (* 3/2 (pow eps 2))) (pow (cos eps) 3) (pow (cos eps) 3) (- (* 1/24 (pow eps 4)) (+ (* 1/2 (pow eps 2)) (* 1/720 (pow eps 6)))) (/ (- (pow (cos eps) 3) 1) (+ 1 (+ (pow (cos eps) 2) (cos eps)))) (/ (- (pow (cos eps) 3) 1) (+ 1 (+ (pow (cos eps) 2) (cos eps)))) 1.891 * [simplify]: Sending expressions to egg_math: (fma (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3) (pow (cbrt (cos h0)) 3) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1))))) (fma (- (cbrt 1)) (* (cbrt 1) (cbrt 1)) (* (cbrt 1) (* (cbrt 1) (cbrt 1)))) (fma (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3) (pow (cbrt (cos h0)) 3) (- (* (sqrt 1) (sqrt 1)))) (fma (- (sqrt 1)) (sqrt 1) (* (sqrt 1) (sqrt 1))) (fma (pow (* (cbrt (cos h0)) (cbrt (cos h0))) 3) (pow (cbrt (cos h0)) 3) (- (* 1 1))) (fma (- 1) 1 (* 1 1)) (fma (pow (sqrt (cos h0)) 3) (pow (sqrt (cos h0)) 3) (- (* (cbrt 1) (* 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(pow (cos eps) 3) 1))) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (pow (cos eps) 3) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (pow (cos eps) 3/2) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (pow (cos eps) 3/2) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (pow (cos eps) 3/2) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (pow (cos eps) 3/2) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (sqrt (pow (cos eps) 3)) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (sqrt (pow (cos eps) 3)) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (pow (cos eps) 3/2) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (pow (cos eps) 3/2) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (pow (cos eps) 3/2) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (pow (cos eps) 3/2) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (sqrt (pow (cos eps) 3)) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (pow (cos eps) 3/2) 1)) (/ (fma (cos eps) (+ (cos eps) 1) 1) (- (pow (cos eps) 3) 1)) (* (+ (+ (pow (cos eps) 6) 1) (pow (cos eps) 3)) (fma (cos eps) (+ (cos eps) 1) 1)) (* (fma (cos eps) (+ (cos eps) 1) 1) (+ (pow (cos eps) 3) 1)) (fma 7/8 (pow eps 4) (- (fma 3/2 (pow eps 2) (* 61/240 (pow eps 6))))) (- (pow (cos eps) 3) 1) (- (pow (cos eps) 3) 1) (fma (pow eps 4) 1/24 (- 2 (* 1/2 (pow eps 2)))) (+ (cos eps) 1) (+ (cos eps) 1) (fma (pow eps 4) 7/8 (- 1 (* 3/2 (pow eps 2)))) (pow (cos eps) 3) (pow (cos eps) 3) (fma 1/24 (pow eps 4) (- (fma 1/2 (pow eps 2) (* 1/720 (pow eps 6))))) (/ (- (pow (cos eps) 3) 1) (fma (cos eps) (+ (cos eps) 1) 1)) (/ (- (pow (cos eps) 3) 1) (fma (cos eps) (+ (cos eps) 1) 1)) 1.973 * * * [progress]: adding candidates to table 2.512 * [progress]: [Phase 3 of 3] Extracting. 2.512 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.518 * * * [regime-changes]: Trying 2 branch expressions: (eps x) 2.518 * * * * [regimes]: Trying to branch on eps from (# # # # # # # # # # #) 2.577 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # #) 2.637 * * * [regime]: Found split indices: #