11.780 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.001 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.003 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.005 * * * * [points]: Setting MPFR precision to 64 0.006 * * * * [points]: Setting MPFR precision to 320 0.006 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.008 * * * * [points]: Setting MPFR precision to 64 0.009 * * * * [points]: Setting MPFR precision to 320 0.010 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.012 * * * * [points]: Setting MPFR precision to 64 0.014 * * * * [points]: Setting MPFR precision to 320 0.016 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.018 * * * * [points]: Setting MPFR precision to 64 0.021 * * * * [points]: Setting MPFR precision to 320 0.024 * * * * [points]: Computing exacts for 256 points 0.026 * * * * [points]: Setting MPFR precision to 64 0.034 * * * * [points]: Setting MPFR precision to 320 0.043 * * * * [points]: Filtering points with unrepresentable outputs 0.043 * * * * [points]: Sampling 128 additional inputs, on iter 1 have 128 / 256 0.044 * * * * [points]: Computing exacts on every 8 of 128 points to ramp up precision 0.047 * * * * [points]: Setting MPFR precision to 64 0.047 * * * * [points]: Setting MPFR precision to 320 0.048 * * * * [points]: Computing exacts on every 4 of 128 points to ramp up precision 0.050 * * * * [points]: Setting MPFR precision to 64 0.051 * * * * [points]: Setting MPFR precision to 320 0.052 * * * * [points]: Computing exacts on every 2 of 128 points to ramp up precision 0.054 * * * * [points]: Setting MPFR precision to 64 0.055 * * * * [points]: Setting MPFR precision to 320 0.057 * * * * [points]: Computing exacts for 128 points 0.059 * * * * [points]: Setting MPFR precision to 64 0.063 * * * * [points]: Setting MPFR precision to 320 0.067 * * * * [points]: Filtering points with unrepresentable outputs 0.068 * * * * [points]: Sampling 63 additional inputs, on iter 2 have 193 / 256 0.068 * * * * [points]: Computing exacts on every 3 of 63 points to ramp up precision 0.070 * * * * [points]: Setting MPFR precision to 64 0.074 * * * * [points]: Setting MPFR precision to 320 0.075 * * * * [points]: Computing exacts for 63 points 0.077 * * * * [points]: Setting MPFR precision to 64 0.079 * * * * [points]: Setting MPFR precision to 320 0.081 * * * * [points]: Filtering points with unrepresentable outputs 0.082 * * * * [points]: Sampling 27 additional inputs, on iter 3 have 229 / 256 0.082 * * * * [points]: Computing exacts for 27 points 0.084 * * * * [points]: Setting MPFR precision to 64 0.085 * * * * [points]: Setting MPFR precision to 320 0.086 * * * * [points]: Filtering points with unrepresentable outputs 0.086 * * * * [points]: Sampling 16 additional inputs, on iter 4 have 240 / 256 0.086 * * * * [points]: Computing exacts for 16 points 0.088 * * * * [points]: Setting MPFR precision to 64 0.089 * * * * [points]: Setting MPFR precision to 320 0.089 * * * * [points]: Filtering points with unrepresentable outputs 0.090 * * * * [points]: Sampling 8 additional inputs, on iter 5 have 248 / 256 0.090 * * * * [points]: Computing exacts for 8 points 0.092 * * * * [points]: Setting MPFR precision to 64 0.092 * * * * [points]: Setting MPFR precision to 320 0.092 * * * * [points]: Filtering points with unrepresentable outputs 0.092 * * * * [points]: Sampling 4 additional inputs, on iter 6 have 253 / 256 0.092 * * * * [points]: Computing exacts for 4 points 0.094 * * * * [points]: Setting MPFR precision to 64 0.095 * * * * [points]: Setting MPFR precision to 320 0.095 * * * * [points]: Filtering points with unrepresentable outputs 0.095 * * * * [points]: Sampling 4 additional inputs, on iter 7 have 255 / 256 0.095 * * * * [points]: Computing exacts for 4 points 0.097 * * * * [points]: Setting MPFR precision to 64 0.097 * * * * [points]: Setting MPFR precision to 320 0.097 * * * * [points]: Filtering points with unrepresentable outputs 0.098 * * * * [points]: Sampled 258 points with exact outputs 0.098 * * * [progress]: [2/2] Setting up program. 0.101 * [progress]: [Phase 2 of 3] Improving. 0.101 * [simplify]: Simplifying using # : (re (complex (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (- (exp x) (exp (- x))) 2.0) (sin y)))) 0.104 * * [simplify]: iteration 0 : 30 enodes (cost 7 ) 0.105 * * [simplify]: iteration 1 : 47 enodes (cost 7 ) 0.107 * * [simplify]: iteration 2 : 84 enodes (cost 7 ) 0.108 * * [simplify]: iteration 3 : 131 enodes (cost 7 ) 0.111 * * [simplify]: iteration 4 : 223 enodes (cost 7 ) 0.114 * * [simplify]: iteration 5 : 466 enodes (cost 7 ) 0.120 * * [simplify]: iteration 6 : 1123 enodes (cost 7 ) 0.131 * * [simplify]: iteration 7 : 2244 enodes (cost 7 ) 0.160 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.160 * [simplify]: Simplified to: (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 0.164 * * [progress]: iteration 1 / 4 0.164 * * * [progress]: picking best candidate 0.166 * * * * [pick]: Picked # 0.166 * * * [progress]: localizing error 0.177 * * * [progress]: generating rewritten candidates 0.177 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.182 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.194 * * * [progress]: generating series expansions 0.194 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.194 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.194 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.194 * [taylor]: Taking taylor expansion of (exp x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.194 * [taylor]: Taking taylor expansion of (- x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.195 * [taylor]: Taking taylor expansion of (exp x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.195 * [taylor]: Taking taylor expansion of (- x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.209 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.209 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.210 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (- (/ 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 (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.210 * [taylor]: Taking taylor expansion of (exp (/ 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 0.215 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.217 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.218 * [taylor]: Taking taylor expansion of -1 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.218 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.218 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.218 * [taylor]: Taking taylor expansion of -1 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.221 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.221 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in y 0.221 * [taylor]: Taking taylor expansion of 0.5 in y 0.221 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in y 0.221 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in y 0.221 * [taylor]: Taking taylor expansion of (exp x) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (exp (- x)) in y 0.221 * [taylor]: Taking taylor expansion of (- x) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (cos y) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 0.221 * [taylor]: Taking taylor expansion of 0.5 in x 0.221 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 0.221 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.221 * [taylor]: Taking taylor expansion of (exp x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.221 * [taylor]: Taking taylor expansion of (- x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (cos y) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 0.222 * [taylor]: Taking taylor expansion of 0.5 in x 0.222 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 0.222 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.222 * [taylor]: Taking taylor expansion of (exp x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.222 * [taylor]: Taking taylor expansion of (- x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (cos y) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (* 1.0 (cos y)) in y 0.224 * [taylor]: Taking taylor expansion of 1.0 in y 0.224 * [taylor]: Taking taylor expansion of (cos y) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of (* 0.5 (cos y)) in y 0.235 * [taylor]: Taking taylor expansion of 0.5 in y 0.235 * [taylor]: Taking taylor expansion of (cos y) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.238 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 0.238 * [taylor]: Taking taylor expansion of 0.5 in y 0.238 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 0.238 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 0.238 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 0.239 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.239 * [taylor]: Taking taylor expansion of 0.5 in x 0.239 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.239 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.239 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.239 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.240 * [taylor]: Taking taylor expansion of 0.5 in x 0.240 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.240 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.240 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 0.242 * [taylor]: Taking taylor expansion of 0.5 in y 0.242 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 0.242 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 0.242 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.259 * [taylor]: Taking taylor expansion of 0.5 in y 0.259 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.259 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.259 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.259 * [taylor]: Taking taylor expansion of -1 in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 0.259 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.260 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.260 * [taylor]: Taking taylor expansion of -1 in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.260 * [taylor]: Taking taylor expansion of 0.5 in x 0.260 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.260 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.260 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.260 * [taylor]: Taking taylor expansion of -1 in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.260 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.260 * [taylor]: Taking taylor expansion of -1 in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.261 * [taylor]: Taking taylor expansion of 0.5 in x 0.261 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.261 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.261 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.261 * [taylor]: Taking taylor expansion of -1 in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.261 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.261 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.261 * [taylor]: Taking taylor expansion of -1 in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.262 * [taylor]: Taking taylor expansion of 0.5 in y 0.262 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.262 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.262 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.262 * [taylor]: Taking taylor expansion of -1 in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 0.263 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.263 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.263 * [taylor]: Taking taylor expansion of -1 in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.279 * * * [progress]: simplifying candidates 0.279 * [simplify]: Simplifying using # : (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (exp x) (exp (- x)))) (* (exp (exp x)) (exp (exp (- x)))) (log (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (+ (- (log (+ (exp x) (exp (- x)))) (log 2.0)) (log (cos y))) (+ (log (/ (+ (exp x) (exp (- x))) 2.0)) (log (cos y))) (log (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (exp (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (* (/ (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (* (* 2.0 2.0) 2.0)) (* (* (cos y) (cos y)) (cos y))) (* (* (* (/ (+ (exp x) (exp (- x))) 2.0) (/ (+ (exp x) (exp (- x))) 2.0)) (/ (+ (exp x) (exp (- x))) 2.0)) (* (* (cos y) (cos y)) (cos y))) (* (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (* (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (sqrt (cos y))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (sqrt (cos y))) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (+ (exp x) (exp (- x))) 2.0) (* (cbrt (cos y)) (cbrt (cos y)))) (* (/ (+ (exp x) (exp (- x))) 2.0) (sqrt (cos y))) (* (/ (+ (exp x) (exp (- x))) 2.0) 1) (* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)) (* (/ (cbrt (+ (exp x) (exp (- x)))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp x) (exp (- x)))) 2.0) (cos y)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (cbrt 2.0)) (cos y)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (cos y)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (cos y)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ 1 2.0) (cos y)) (* (+ (exp x) (exp (- x))) (cos y)) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (- (+ (* 0.5 (pow x 2)) 1.0) (* 0.5 (pow y 2))) (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) 0.284 * * [simplify]: iteration 0 : 286 enodes (cost 487 ) 0.289 * * [simplify]: iteration 1 : 1053 enodes (cost 428 ) 0.308 * * [simplify]: iteration 2 : 4913 enodes (cost 426 ) 0.442 * * [simplify]: iteration 3 : 5001 enodes (cost 426 ) 0.444 * [simplify]: Simplified to: (expm1 (+ (exp x) (exp (- x)))) (log1p (+ (exp x) (exp (- x)))) (exp (+ (exp x) (exp (- x)))) (log (+ (exp (* -1 x)) (exp x))) (exp (+ (exp x) (exp (- x)))) (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x))))) (cbrt (+ (exp x) (exp (- x)))) (pow (+ (exp (* -1 x)) (exp x)) 3) (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x)))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (pow (exp x) -2) (- (exp (+ x x)) 1)) (fma (- (exp (- x))) (exp (* -1 x)) (exp (+ x x))) (- (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (log (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (log (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (log (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (exp (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3) (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3) (* (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (sqrt (cos y))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (sqrt (cos y))) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (+ (exp x) (exp (- x))) 2.0) (* (cbrt (cos y)) (cbrt (cos y)))) (* (/ (+ (exp x) (exp (- x))) 2.0) (sqrt (cos y))) (/ (+ (exp x) (exp (- x))) 2.0) (* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)) (* (/ (cbrt (+ (exp x) (exp (- x)))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp x) (exp (- x)))) 2.0) (cos y)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (cbrt 2.0)) (cos y)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (cos y)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (cos y)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ 1 2.0) (cos y)) (* (cos y) (+ (exp (* -1 x)) (exp x))) (fma x x (fma 1/12 (pow x 4) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) (fma (pow x 2) 0.5 (- 1.0 (* 0.5 (pow y 2)))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) 0.444 * * * [progress]: adding candidates to table 0.584 * * [progress]: iteration 2 / 4 0.584 * * * [progress]: picking best candidate 0.589 * * * * [pick]: Picked # 0.589 * * * [progress]: localizing error 0.608 * * * [progress]: generating rewritten candidates 0.608 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.613 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.619 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 0.624 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.647 * * * [progress]: generating series expansions 0.647 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.648 * [approximate]: Taking taylor expansion of (pow (+ (exp (* -1 x)) (exp x)) 3) in (x) around 0 0.648 * [taylor]: Taking taylor expansion of (pow (+ (exp (* -1 x)) (exp x)) 3) in x 0.648 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.648 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.648 * [taylor]: Taking taylor expansion of -1 in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (exp x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of (pow (+ (exp (* -1 x)) (exp x)) 3) in x 0.649 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.649 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.649 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.649 * [taylor]: Taking taylor expansion of -1 in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.650 * [taylor]: Taking taylor expansion of (exp x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.668 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 3) in (x) around 0 0.668 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 3) in x 0.668 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.668 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.668 * [taylor]: Taking taylor expansion of -1 in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 3) in x 0.669 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.669 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.669 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.669 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.669 * [taylor]: Taking taylor expansion of -1 in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.681 * [approximate]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 3) in (x) around 0 0.681 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 3) in x 0.681 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.681 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.682 * [taylor]: Taking taylor expansion of -1 in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (pow (+ (exp (/ 1 x)) (exp (/ -1 x))) 3) in x 0.682 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.682 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.682 * [taylor]: Taking taylor expansion of -1 in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.699 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.700 * [approximate]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in (x) around 0 0.700 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.700 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.700 * [taylor]: Taking taylor expansion of -1 in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (exp x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.700 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.700 * [taylor]: Taking taylor expansion of -1 in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of (exp x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.714 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.714 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.714 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.714 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.714 * [taylor]: Taking taylor expansion of -1 in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.714 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.715 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.715 * [taylor]: Taking taylor expansion of -1 in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.717 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.717 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.717 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.717 * [taylor]: Taking taylor expansion of -1 in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.718 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.718 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.718 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.718 * [taylor]: Taking taylor expansion of -1 in x 0.718 * [taylor]: Taking taylor expansion of x in x 0.720 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 0.720 * [approximate]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in (x) around 0 0.720 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.720 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.720 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.720 * [taylor]: Taking taylor expansion of -1 in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (exp x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.721 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.721 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.721 * [taylor]: Taking taylor expansion of -1 in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (exp x) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.735 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.735 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.735 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.735 * [taylor]: Taking taylor expansion of -1 in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.736 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.736 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.736 * [taylor]: Taking taylor expansion of -1 in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.738 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.738 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.738 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.738 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.738 * [taylor]: Taking taylor expansion of -1 in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.739 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.739 * [taylor]: Taking taylor expansion of -1 in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.741 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.742 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) in (x y) around 0 0.742 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) in y 0.742 * [taylor]: Taking taylor expansion of 0.5 in y 0.742 * [taylor]: Taking taylor expansion of (* (cos y) (+ (exp (* -1 x)) (exp x))) in y 0.742 * [taylor]: Taking taylor expansion of (cos y) in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.742 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in y 0.742 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in y 0.742 * [taylor]: Taking taylor expansion of (* -1 x) in y 0.742 * [taylor]: Taking taylor expansion of -1 in y 0.742 * [taylor]: Taking taylor expansion of x in y 0.742 * [taylor]: Taking taylor expansion of (exp x) in y 0.742 * [taylor]: Taking taylor expansion of x in y 0.742 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) in x 0.742 * [taylor]: Taking taylor expansion of 0.5 in x 0.742 * [taylor]: Taking taylor expansion of (* (cos y) (+ (exp (* -1 x)) (exp x))) in x 0.742 * [taylor]: Taking taylor expansion of (cos y) in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.742 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.742 * [taylor]: Taking taylor expansion of -1 in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (exp x) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) in x 0.743 * [taylor]: Taking taylor expansion of 0.5 in x 0.743 * [taylor]: Taking taylor expansion of (* (cos y) (+ (exp (* -1 x)) (exp x))) in x 0.743 * [taylor]: Taking taylor expansion of (cos y) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.743 * [taylor]: Taking taylor expansion of (+ (exp (* -1 x)) (exp x)) in x 0.743 * [taylor]: Taking taylor expansion of (exp (* -1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (* -1 x) in x 0.743 * [taylor]: Taking taylor expansion of -1 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (exp x) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (* 1.0 (cos y)) in y 0.745 * [taylor]: Taking taylor expansion of 1.0 in y 0.745 * [taylor]: Taking taylor expansion of (cos y) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.754 * [taylor]: Taking taylor expansion of (* 0.5 (cos y)) in y 0.754 * [taylor]: Taking taylor expansion of 0.5 in y 0.754 * [taylor]: Taking taylor expansion of (cos y) in y 0.754 * [taylor]: Taking taylor expansion of y in y 0.757 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x y) around 0 0.757 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.757 * [taylor]: Taking taylor expansion of 0.5 in y 0.757 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.757 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.757 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 0.758 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.758 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.758 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.758 * [taylor]: Taking taylor expansion of -1 in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.758 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.758 * [taylor]: Taking taylor expansion of 0.5 in x 0.758 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.758 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.758 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.758 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.759 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.759 * [taylor]: Taking taylor expansion of -1 in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.759 * [taylor]: Taking taylor expansion of 0.5 in x 0.759 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.759 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.759 * [taylor]: Taking taylor expansion of y in x 0.759 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.759 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.759 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.760 * [taylor]: Taking taylor expansion of -1 in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.760 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.761 * [taylor]: Taking taylor expansion of 0.5 in y 0.761 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.761 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 0.761 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.761 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.761 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.761 * [taylor]: Taking taylor expansion of -1 in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.764 * [taylor]: Taking taylor expansion of 0 in y 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.781 * [taylor]: Taking taylor expansion of 0 in y 0.782 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x y) around 0 0.782 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.782 * [taylor]: Taking taylor expansion of 0.5 in y 0.782 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.782 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.782 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.782 * [taylor]: Taking taylor expansion of -1 in y 0.782 * [taylor]: Taking taylor expansion of y in y 0.782 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 0.782 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.782 * [taylor]: Taking taylor expansion of x in y 0.782 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.782 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.782 * [taylor]: Taking taylor expansion of -1 in y 0.782 * [taylor]: Taking taylor expansion of x in y 0.782 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.782 * [taylor]: Taking taylor expansion of 0.5 in x 0.782 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.782 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.782 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.782 * [taylor]: Taking taylor expansion of -1 in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.783 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.783 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.783 * [taylor]: Taking taylor expansion of -1 in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.783 * [taylor]: Taking taylor expansion of 0.5 in x 0.783 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.783 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.783 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.783 * [taylor]: Taking taylor expansion of -1 in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.784 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.784 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.784 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.784 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.784 * [taylor]: Taking taylor expansion of -1 in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.785 * [taylor]: Taking taylor expansion of 0.5 in y 0.785 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.785 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.785 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.785 * [taylor]: Taking taylor expansion of -1 in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 0.785 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.785 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.786 * [taylor]: Taking taylor expansion of -1 in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.788 * [taylor]: Taking taylor expansion of 0 in y 0.794 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [taylor]: Taking taylor expansion of 0 in y 0.801 * * * [progress]: simplifying candidates 0.804 * [simplify]: Simplifying using # : (expm1 (pow (+ (exp (* -1 x)) (exp x)) 3)) (log1p (pow (+ (exp (* -1 x)) (exp x)) 3)) (* (log (+ (exp (* -1 x)) (exp x))) 3) (* (log (+ (exp (* -1 x)) (exp x))) 3) (* 1 3) (pow (+ (exp (* -1 x)) (exp x)) (* (cbrt 3) (cbrt 3))) (pow (+ (exp (* -1 x)) (exp x)) (sqrt 3)) (pow (+ (exp (* -1 x)) (exp x)) 1) (pow (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x)))) 3) (pow (cbrt (+ (exp (* -1 x)) (exp x))) 3) (pow (sqrt (+ (exp (* -1 x)) (exp x))) 3) (pow (sqrt (+ (exp (* -1 x)) (exp x))) 3) (pow 1 3) (pow (+ (exp (* -1 x)) (exp x)) 3) (pow 1 3) (pow (+ (exp (* -1 x)) (exp x)) 3) (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x))) (log (pow (+ (exp (* -1 x)) (exp x)) 3)) (exp (pow (+ (exp (* -1 x)) (exp x)) 3)) (* (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (* (* (pow (+ (exp (* -1 x)) (exp x)) 3) (pow (+ (exp (* -1 x)) (exp x)) 3)) (pow (+ (exp (* -1 x)) (exp x)) 3)) (pow (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x)))) 3) (pow (cbrt (+ (exp (* -1 x)) (exp x))) 3) (pow (sqrt (+ (exp (* -1 x)) (exp x))) 3) (pow (sqrt (+ (exp (* -1 x)) (exp x))) 3) (pow 1 3) (pow (+ (exp (* -1 x)) (exp x)) 3) (pow 1 3) (pow (+ (exp (* -1 x)) (exp x)) 3) (pow (+ (pow (exp (* -1 x)) 3) (pow (exp x) 3)) 3) (pow (+ (* (exp (* -1 x)) (exp (* -1 x))) (- (* (exp x) (exp x)) (* (exp (* -1 x)) (exp x)))) 3) (pow (- (* (exp (* -1 x)) (exp (* -1 x))) (* (exp x) (exp x))) 3) (pow (- (exp (* -1 x)) (exp x)) 3) (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x))) (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (pow (+ (exp (* -1 x)) (exp x)) (/ 3 2)) (pow (+ (exp (* -1 x)) (exp x)) (/ 3 2)) (expm1 (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (log1p (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (log (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (exp (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (cbrt (pow (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (cbrt (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (sqrt (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (sqrt (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (* (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)))) (cbrt (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (cbrt (pow (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (cbrt (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (sqrt (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow (sqrt (+ (exp (* -1 x)) (exp x))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (cbrt (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (cbrt (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (cbrt 1) (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (cbrt (pow (+ (exp (* -1 x)) (exp x)) (/ 3 2))) (cbrt (pow (+ (exp (* -1 x)) (exp x)) (/ 3 2))) (cbrt (pow (+ (pow (exp (* -1 x)) 3) (pow (exp x) 3)) 3)) (cbrt (pow (+ (* (exp (* -1 x)) (exp (* -1 x))) (- (* (exp x) (exp x)) (* (exp (* -1 x)) (exp x)))) 3)) (cbrt (pow (- (* (exp (* -1 x)) (exp (* -1 x))) (* (exp x) (exp x))) 3)) (cbrt (pow (- (exp (* -1 x)) (exp x)) 3)) (* (cbrt (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (cbrt (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)))) (cbrt (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (* (* (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (sqrt (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (sqrt (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (expm1 (+ (exp (* -1 x)) (exp x))) (log1p (+ (exp (* -1 x)) (exp x))) (* (exp (exp (* -1 x))) (exp (exp x))) (log (+ (exp (* -1 x)) (exp x))) (exp (+ (exp (* -1 x)) (exp x))) (* (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (+ (exp (* -1 x)) (exp x)))) (cbrt (+ (exp (* -1 x)) (exp x))) (* (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x))) (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) (+ (pow (exp (* -1 x)) 3) (pow (exp x) 3)) (+ (* (exp (* -1 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(cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) 2.0) (cos y)) (* (/ (sqrt (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (cbrt 2.0)) (cos y)) (* (/ (sqrt (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (sqrt 2.0)) (cos y)) (* (/ (sqrt (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3))) 2.0) (cos y)) (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (cbrt 2.0)) (cos y)) (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (sqrt 2.0)) (cos y)) (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y)) (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y)) (* (/ 1 2.0) (cos y)) (* (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (cos y)) (+ (* 12 (pow x 2)) (+ (* 7 (pow x 4)) 8)) (pow (+ (exp (* -1 x)) (exp x)) 3) (pow (+ (exp (* -1 x)) (exp x)) 3) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) (- (+ (* 0.5 (pow x 2)) 1.0) (* 0.5 (pow y 2))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) 0.812 * * [simplify]: iteration 0 : 487 enodes (cost 1448 ) 0.820 * * [simplify]: iteration 1 : 1824 enodes (cost 1334 ) 0.854 * * [simplify]: iteration 2 : 5001 enodes (cost 1318 ) 0.861 * [simplify]: Simplified to: (expm1 (pow (+ (exp (* -1 x)) (exp x)) 3)) (log1p (pow (+ (exp (* -1 x)) (exp x)) 3)) (log (pow (+ (exp (* -1 x)) (exp x)) 3)) (log (pow (+ (exp (* -1 x)) (exp x)) 3)) 3 (pow (+ (exp (* -1 x)) (exp x)) (* (cbrt 3) (cbrt 3))) (pow (+ (exp (* -1 x)) (exp x)) (sqrt 3)) (+ (exp (* -1 x)) (exp x)) (pow (+ (exp (* -1 x)) (exp x)) 2) (+ (exp (* -1 x)) (exp x)) (pow (+ (exp (* -1 x)) (exp x)) 3/2) (pow (+ (exp (* -1 x)) (exp x)) 3/2) 1 (pow (+ (exp (* -1 x)) (exp x)) 3) 1 (pow (+ (exp (* -1 x)) (exp x)) 3) (pow (+ (exp (* -1 x)) (exp x)) 2) (log (pow (+ (exp (* -1 x)) (exp x)) 3)) (exp (pow (+ (exp (* -1 x)) (exp x)) 3)) (pow (+ (exp (* -1 x)) (exp x)) 2) (+ (exp (* -1 x)) (exp x)) (pow (pow (+ (exp (* -1 x)) (exp x)) 3) 3) (pow (+ (exp (* -1 x)) (exp x)) 2) (+ (exp (* -1 x)) (exp x)) (pow (+ (exp (* -1 x)) (exp x)) 3/2) (pow (+ (exp (* -1 x)) (exp x)) 3/2) 1 (pow (+ (exp (* -1 x)) (exp x)) 3) 1 (pow (+ (exp (* -1 x)) (exp x)) 3) (pow (+ (pow (exp (* -1 x)) 3) (pow (exp x) 3)) 3) (pow (fma (exp x) (- (exp x) (exp (* -1 x))) (exp (+ (* -1 x) (* -1 x)))) 3) (pow (- (* (exp (* -1 x)) (exp (* -1 x))) (* (exp x) (exp x))) 3) (pow (- (exp (* -1 x)) (exp x)) 3) (pow (+ (exp (* -1 x)) (exp x)) 2) (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3)) (pow (+ (exp (* -1 x)) (exp x)) 3/2) (pow (+ (exp (* -1 x)) (exp x)) 3/2) (expm1 (+ (exp (* -1 x)) (exp x))) (log1p (+ (exp (* -1 x)) (exp x))) (log (+ (exp (* -1 x)) (exp x))) (exp (+ (exp (* -1 x)) (exp x))) (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) 1 (+ (exp (* -1 x)) (exp x)) 1 (+ (exp (* -1 x)) (exp x)) (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) 1 (+ (exp (* -1 x)) (exp x)) 1 (+ (exp (* -1 x)) (exp x)) (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (cbrt (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (cbrt (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3))) 1 (+ (exp (* -1 x)) (exp x)) (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) (+ (pow (exp (* -1 x)) 3) (pow (exp x) 3)) (fma (- (exp x) (exp (* -1 x))) (exp x) (pow (exp -1) (* 2 x))) (fma (- (exp x)) (exp x) (pow (exp -1) (* 2 x))) (- (exp (* -1 x)) (exp x)) (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (cbrt (+ (exp (* -1 x)) (exp x))) (pow (+ (exp (* -1 x)) (exp x)) 3) (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) (expm1 (+ (exp (* -1 x)) (exp x))) (log1p (+ (exp (* -1 x)) (exp x))) (exp (+ (exp (* -1 x)) (exp x))) (log (+ (exp (* -1 x)) (exp x))) (exp (+ (exp (* -1 x)) (exp x))) (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (cbrt (+ (exp (* -1 x)) (exp x))) (pow (+ (exp (* -1 x)) (exp x)) 3) (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (+ (exp (* -1 x)) (exp x))) (+ (pow (exp (* -1 x)) 3) (pow (exp x) 3)) (fma (- (exp x) (exp (* -1 x))) (exp x) (pow (exp -1) (* 2 x))) (fma (- (exp x)) (exp x) (pow (exp -1) (* 2 x))) (- (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) (expm1 (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))) (log1p (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) (- (log (* (cos y) (+ (exp (* -1 x)) (exp x)))) (log 2.0)) (- (log (* (cos y) (+ (exp (* -1 x)) (exp x)))) (log 2.0)) (- (log (* (cos y) (+ (exp (* -1 x)) (exp x)))) (log 2.0)) (pow (exp (cos y)) (/ (+ (exp (* -1 x)) (exp x)) 2.0)) (pow (* (cos y) (/ (* (+ (exp (* -1 x)) (exp x)) 1) 2.0)) 3) (pow (* (cos y) (/ (* (+ (exp (* -1 x)) (exp x)) 1) 2.0)) 3) (* (cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))) (cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y)))) (cbrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))) (pow (* (cos y) (/ (* (+ (exp (* -1 x)) (exp x)) 1) 2.0)) 3) (sqrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))) (sqrt (* (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0) (cos y))) (* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (sqrt (cos y))) (* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (sqrt (cos y))) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (cos y))) (sqrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (cos y))) (sqrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (cos y))) (sqrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (cos y))) (sqrt 2.0)) (* (/ (cbrt (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (cbrt (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (sqrt 2.0)) (sqrt (cos y))) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (cos y))) (sqrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (cos y))) (sqrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (cos y))) (sqrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (sqrt (cos y))) (sqrt 2.0)) (/ (* (+ (exp (* -1 x)) (exp x)) (* (cbrt (cos y)) (cbrt (cos y)))) 2.0) (/ (* (+ (exp (* -1 x)) (exp x)) (sqrt (cos y))) 2.0) (/ (+ (exp (* -1 x)) (exp x)) 2.0) (* (cbrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (cos y)) (* (sqrt (/ (cbrt (pow (+ (exp (* -1 x)) (exp x)) 3)) 2.0)) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) 2.0) (cos y)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (cos y)) (cbrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (cos y)) (sqrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (cos y)) 2.0) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (cbrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (cbrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) 2.0) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) 2.0) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) 2.0) (cos y)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (cos y)) (cbrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (cos y)) (sqrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (cos y)) 2.0) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (cbrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (cbrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) (* (/ (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (* (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)))) 2.0) (cos y)) (* (/ (cbrt (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (sqrt (pow (+ (exp (* -1 x)) (exp x)) 3))) 2.0) (cos y)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (cbrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (cos y)) (cbrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (cos y)) (sqrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (cos y)) 2.0) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp (* -1 x)) (exp x))) 2.0) (cos y)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (cos y)) (cbrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (cos y)) (sqrt 2.0)) (/ (* (sqrt (+ (exp (* -1 x)) (exp x))) (cos y)) 2.0) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (cbrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) (sqrt 2.0)) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) (/ (* (cos y) (+ (exp (* -1 x)) (exp x))) 2.0) (* (/ 1 2.0) (cos y)) (* (cos y) (+ (exp (* -1 x)) (exp x))) (fma 12 (pow x 2) (fma 7 (pow x 4) 8)) (pow (+ (exp (* -1 x)) (exp x)) 3) (pow (+ (exp (* -1 x)) (exp x)) 3) (fma x x (fma 1/12 (pow x 4) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) (fma x x (fma 1/12 (pow x 4) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) (fma (pow x 2) 0.5 (- 1.0 (* 0.5 (pow y 2)))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) 0.862 * * * [progress]: adding candidates to table 1.244 * * [progress]: iteration 3 / 4 1.244 * * * [progress]: picking best candidate 1.248 * * * * [pick]: Picked # 1.248 * * * [progress]: localizing error 1.268 * * * [progress]: generating rewritten candidates 1.268 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.269 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.270 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.275 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.287 * * * [progress]: generating series expansions 1.287 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.288 * [approximate]: Taking taylor expansion of (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in (x y) around 0 1.288 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in y 1.288 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) 1.288 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in y 1.288 * [taylor]: Taking taylor expansion of 1 in y 1.288 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in y 1.288 * [taylor]: Taking taylor expansion of 0.5 in y 1.288 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in y 1.288 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in y 1.288 * [taylor]: Taking taylor expansion of (exp x) in y 1.288 * [taylor]: Taking taylor expansion of x in y 1.288 * [taylor]: Taking taylor expansion of (exp (- x)) in y 1.288 * [taylor]: Taking taylor expansion of (- x) in y 1.288 * [taylor]: Taking taylor expansion of x in y 1.288 * [taylor]: Taking taylor expansion of (cos y) in y 1.288 * [taylor]: Taking taylor expansion of y in y 1.288 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in x 1.289 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) 1.289 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in x 1.289 * [taylor]: Taking taylor expansion of 1 in x 1.289 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 1.289 * [taylor]: Taking taylor expansion of 0.5 in x 1.289 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 1.289 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.289 * [taylor]: Taking taylor expansion of (exp x) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.289 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.289 * [taylor]: Taking taylor expansion of (- x) in x 1.289 * [taylor]: Taking taylor expansion of x in x 1.290 * [taylor]: Taking taylor expansion of (cos y) in x 1.290 * [taylor]: Taking taylor expansion of y in x 1.290 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in x 1.290 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) 1.290 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in x 1.290 * [taylor]: Taking taylor expansion of 1 in x 1.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 1.290 * [taylor]: Taking taylor expansion of 0.5 in x 1.290 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 1.291 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.291 * [taylor]: Taking taylor expansion of (exp x) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.291 * [taylor]: Taking taylor expansion of (- x) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.291 * [taylor]: Taking taylor expansion of (cos y) in x 1.291 * [taylor]: Taking taylor expansion of y in x 1.292 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (cos y)) 1)) in y 1.292 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos y)) 1) in y 1.292 * [taylor]: Taking taylor expansion of (* 1.0 (cos y)) in y 1.292 * [taylor]: Taking taylor expansion of 1.0 in y 1.292 * [taylor]: Taking taylor expansion of (cos y) in y 1.292 * [taylor]: Taking taylor expansion of y in y 1.292 * [taylor]: Taking taylor expansion of 1 in y 1.298 * [taylor]: Taking taylor expansion of 0 in y 1.307 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos y) (+ (* 1.0 (cos y)) 1))) in y 1.307 * [taylor]: Taking taylor expansion of 0.5 in y 1.307 * [taylor]: Taking taylor expansion of (/ (cos y) (+ (* 1.0 (cos y)) 1)) in y 1.307 * [taylor]: Taking taylor expansion of (cos y) in y 1.307 * [taylor]: Taking taylor expansion of y in y 1.307 * [taylor]: Taking taylor expansion of (+ (* 1.0 (cos y)) 1) in y 1.307 * [taylor]: Taking taylor expansion of (* 1.0 (cos y)) in y 1.307 * [taylor]: Taking taylor expansion of 1.0 in y 1.307 * [taylor]: Taking taylor expansion of (cos y) in y 1.307 * [taylor]: Taking taylor expansion of y in y 1.307 * [taylor]: Taking taylor expansion of 1 in y 1.318 * [approximate]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x y) around 0 1.318 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in y 1.318 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) 1.318 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in y 1.318 * [taylor]: Taking taylor expansion of 1 in y 1.319 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 1.319 * [taylor]: Taking taylor expansion of 0.5 in y 1.319 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 1.319 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.319 * [taylor]: Taking taylor expansion of y in y 1.319 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 1.319 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.319 * [taylor]: Taking taylor expansion of x in y 1.319 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.319 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.319 * [taylor]: Taking taylor expansion of x in y 1.320 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.320 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) 1.320 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.320 * [taylor]: Taking taylor expansion of 1 in x 1.320 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.320 * [taylor]: Taking taylor expansion of 0.5 in x 1.320 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.320 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.320 * [taylor]: Taking taylor expansion of y in x 1.320 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.320 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.320 * [taylor]: Taking taylor expansion of x in x 1.321 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.321 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.321 * [taylor]: Taking taylor expansion of x in x 1.322 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.322 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) 1.322 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.322 * [taylor]: Taking taylor expansion of 1 in x 1.322 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.322 * [taylor]: Taking taylor expansion of 0.5 in x 1.322 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.322 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.322 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.322 * [taylor]: Taking taylor expansion of y in x 1.323 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.323 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.323 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.323 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (* (cos (/ 1 y)) (exp (/ 1 x)))) (+ (* 0.5 (* (cos (/ 1 y)) (exp (- (/ 1 x))))) 1))) in y 1.325 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 y)) (exp (/ 1 x)))) (+ (* 0.5 (* (cos (/ 1 y)) (exp (- (/ 1 x))))) 1)) in y 1.325 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (exp (/ 1 x)))) in y 1.325 * [taylor]: Taking taylor expansion of 0.5 in y 1.325 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (exp (/ 1 x))) in y 1.325 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.325 * [taylor]: Taking taylor expansion of y in y 1.325 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.325 * [taylor]: Taking taylor expansion of x in y 1.325 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 y)) (exp (- (/ 1 x))))) 1) in y 1.325 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (exp (- (/ 1 x))))) in y 1.325 * [taylor]: Taking taylor expansion of 0.5 in y 1.325 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (exp (- (/ 1 x)))) in y 1.325 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.325 * [taylor]: Taking taylor expansion of y in y 1.326 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.326 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.326 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.326 * [taylor]: Taking taylor expansion of x in y 1.326 * [taylor]: Taking taylor expansion of 1 in y 1.331 * [taylor]: Taking taylor expansion of 0 in y 1.339 * [taylor]: Taking taylor expansion of 0 in y 1.358 * [taylor]: Taking taylor expansion of 0 in y 1.359 * [approximate]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x y) around 0 1.359 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in y 1.359 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) 1.359 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in y 1.359 * [taylor]: Taking taylor expansion of 1 in y 1.359 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 1.359 * [taylor]: Taking taylor expansion of 0.5 in y 1.359 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 1.359 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.359 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.359 * [taylor]: Taking taylor expansion of -1 in y 1.359 * [taylor]: Taking taylor expansion of y in y 1.360 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 1.360 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.360 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.360 * [taylor]: Taking taylor expansion of x in y 1.360 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.360 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.360 * [taylor]: Taking taylor expansion of -1 in y 1.360 * [taylor]: Taking taylor expansion of x in y 1.361 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.361 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) 1.361 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.361 * [taylor]: Taking taylor expansion of 1 in x 1.361 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.361 * [taylor]: Taking taylor expansion of 0.5 in x 1.361 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.361 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.361 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.361 * [taylor]: Taking taylor expansion of -1 in x 1.361 * [taylor]: Taking taylor expansion of y in x 1.361 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.361 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.361 * [taylor]: Taking taylor expansion of x in x 1.361 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.361 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.361 * [taylor]: Taking taylor expansion of -1 in x 1.361 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.363 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) 1.363 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.363 * [taylor]: Taking taylor expansion of 1 in x 1.363 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.363 * [taylor]: Taking taylor expansion of 0.5 in x 1.363 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.363 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.363 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.363 * [taylor]: Taking taylor expansion of -1 in x 1.363 * [taylor]: Taking taylor expansion of y in x 1.363 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.363 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.363 * [taylor]: Taking taylor expansion of -1 in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.365 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (* (cos (/ -1 y)) (exp (/ 1 x)))) (+ (* 0.5 (* (cos (/ -1 y)) (exp (/ -1 x)))) 1))) in y 1.365 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ -1 y)) (exp (/ 1 x)))) (+ (* 0.5 (* (cos (/ -1 y)) (exp (/ -1 x)))) 1)) in y 1.365 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (exp (/ 1 x)))) in y 1.365 * [taylor]: Taking taylor expansion of 0.5 in y 1.365 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (exp (/ 1 x))) in y 1.365 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.365 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.365 * [taylor]: Taking taylor expansion of -1 in y 1.365 * [taylor]: Taking taylor expansion of y in y 1.365 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.365 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ -1 y)) (exp (/ -1 x)))) 1) in y 1.365 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (exp (/ -1 x)))) in y 1.365 * [taylor]: Taking taylor expansion of 0.5 in y 1.365 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (exp (/ -1 x))) in y 1.365 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.365 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.365 * [taylor]: Taking taylor expansion of -1 in y 1.365 * [taylor]: Taking taylor expansion of y in y 1.366 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.366 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.366 * [taylor]: Taking taylor expansion of -1 in y 1.366 * [taylor]: Taking taylor expansion of x in y 1.366 * [taylor]: Taking taylor expansion of 1 in y 1.371 * [taylor]: Taking taylor expansion of 0 in y 1.379 * [taylor]: Taking taylor expansion of 0 in y 1.392 * [taylor]: Taking taylor expansion of 0 in y 1.392 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.392 * [approximate]: Taking taylor expansion of (expm1 (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) in (x y) around 0 1.392 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) in y 1.392 * [taylor]: Rewrote expression to (- (exp (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) 1) 1.392 * [taylor]: Taking taylor expansion of (exp (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) in y 1.392 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in y 1.392 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) 1.392 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in y 1.392 * [taylor]: Taking taylor expansion of 1 in y 1.392 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in y 1.393 * [taylor]: Taking taylor expansion of 0.5 in y 1.393 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in y 1.393 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in y 1.393 * [taylor]: Taking taylor expansion of (exp x) in y 1.393 * [taylor]: Taking taylor expansion of x in y 1.393 * [taylor]: Taking taylor expansion of (exp (- x)) in y 1.393 * [taylor]: Taking taylor expansion of (- x) in y 1.393 * [taylor]: Taking taylor expansion of x in y 1.393 * [taylor]: Taking taylor expansion of (cos y) in y 1.393 * [taylor]: Taking taylor expansion of y in y 1.393 * [taylor]: Taking taylor expansion of 1 in y 1.393 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) in x 1.393 * [taylor]: Rewrote expression to (- (exp (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) 1) 1.393 * [taylor]: Taking taylor expansion of (exp (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) in x 1.393 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in x 1.393 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) 1.393 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in x 1.393 * [taylor]: Taking taylor expansion of 1 in x 1.393 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 1.394 * [taylor]: Taking taylor expansion of 0.5 in x 1.394 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 1.394 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.394 * [taylor]: Taking taylor expansion of (exp x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.394 * [taylor]: Taking taylor expansion of (- x) in x 1.394 * [taylor]: Taking taylor expansion of x in x 1.394 * [taylor]: Taking taylor expansion of (cos y) in x 1.394 * [taylor]: Taking taylor expansion of y in x 1.395 * [taylor]: Taking taylor expansion of 1 in x 1.395 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) in x 1.395 * [taylor]: Rewrote expression to (- (exp (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) 1) 1.395 * [taylor]: Taking taylor expansion of (exp (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) in x 1.395 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in x 1.395 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))))) 1.395 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (+ (exp x) (exp (- x))) (cos y)))) in x 1.395 * [taylor]: Taking taylor expansion of 1 in x 1.395 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 1.395 * [taylor]: Taking taylor expansion of 0.5 in x 1.395 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 1.395 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.395 * [taylor]: Taking taylor expansion of (exp x) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.395 * [taylor]: Taking taylor expansion of (- x) in x 1.395 * [taylor]: Taking taylor expansion of x in x 1.396 * [taylor]: Taking taylor expansion of (cos y) in x 1.396 * [taylor]: Taking taylor expansion of y in x 1.397 * [taylor]: Taking taylor expansion of 1 in x 1.397 * [taylor]: Taking taylor expansion of (* 1.0 (cos y)) in y 1.397 * [taylor]: Taking taylor expansion of 1.0 in y 1.397 * [taylor]: Taking taylor expansion of (cos y) in y 1.397 * [taylor]: Taking taylor expansion of y in y 1.403 * [taylor]: Taking taylor expansion of 0 in y 1.411 * [taylor]: Taking taylor expansion of (* 0.5 (cos y)) in y 1.411 * [taylor]: Taking taylor expansion of 0.5 in y 1.411 * [taylor]: Taking taylor expansion of (cos y) in y 1.411 * [taylor]: Taking taylor expansion of y in y 1.414 * [approximate]: Taking taylor expansion of (expm1 (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in (x y) around 0 1.414 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in y 1.414 * [taylor]: Rewrote expression to (- (exp (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) 1) 1.414 * [taylor]: Taking taylor expansion of (exp (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in y 1.414 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in y 1.414 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) 1.414 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in y 1.414 * [taylor]: Taking taylor expansion of 1 in y 1.414 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 1.414 * [taylor]: Taking taylor expansion of 0.5 in y 1.415 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 1.415 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.415 * [taylor]: Taking taylor expansion of y in y 1.415 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 1.415 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.415 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.415 * [taylor]: Taking taylor expansion of x in y 1.415 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.415 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.415 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.415 * [taylor]: Taking taylor expansion of x in y 1.416 * [taylor]: Taking taylor expansion of 1 in y 1.416 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.416 * [taylor]: Rewrote expression to (- (exp (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) 1) 1.416 * [taylor]: Taking taylor expansion of (exp (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.416 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.416 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) 1.416 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.416 * [taylor]: Taking taylor expansion of 1 in x 1.416 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.416 * [taylor]: Taking taylor expansion of 0.5 in x 1.416 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.416 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.416 * [taylor]: Taking taylor expansion of y in x 1.417 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.417 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.417 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.419 * [taylor]: Taking taylor expansion of 1 in x 1.419 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.419 * [taylor]: Rewrote expression to (- (exp (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) 1) 1.419 * [taylor]: Taking taylor expansion of (exp (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) in x 1.419 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.419 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))))) 1.419 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.419 * [taylor]: Taking taylor expansion of 1 in x 1.419 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.419 * [taylor]: Taking taylor expansion of 0.5 in x 1.419 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.419 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.419 * [taylor]: Taking taylor expansion of y in x 1.419 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.419 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.419 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.420 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.420 * [taylor]: Taking taylor expansion of x in x 1.422 * [taylor]: Taking taylor expansion of 1 in x 1.422 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 y)) (exp (/ 1 x)))) (* 0.5 (* (cos (/ 1 y)) (exp (- (/ 1 x)))))) in y 1.422 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (exp (/ 1 x)))) in y 1.422 * [taylor]: Taking taylor expansion of 0.5 in y 1.422 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (exp (/ 1 x))) in y 1.422 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.422 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.422 * [taylor]: Taking taylor expansion of y in y 1.423 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.423 * [taylor]: Taking taylor expansion of x in y 1.423 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (exp (- (/ 1 x))))) in y 1.423 * [taylor]: Taking taylor expansion of 0.5 in y 1.423 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (exp (- (/ 1 x)))) in y 1.423 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.423 * [taylor]: Taking taylor expansion of y in y 1.423 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.423 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.423 * [taylor]: Taking taylor expansion of x in y 1.429 * [taylor]: Taking taylor expansion of 0 in y 1.438 * [taylor]: Taking taylor expansion of 0 in y 1.456 * [taylor]: Taking taylor expansion of 0 in y 1.457 * [approximate]: Taking taylor expansion of (expm1 (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in (x y) around 0 1.457 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in y 1.457 * [taylor]: Rewrote expression to (- (exp (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) 1) 1.457 * [taylor]: Taking taylor expansion of (exp (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in y 1.457 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in y 1.457 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) 1.457 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in y 1.457 * [taylor]: Taking taylor expansion of 1 in y 1.457 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 1.457 * [taylor]: Taking taylor expansion of 0.5 in y 1.457 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 1.457 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.457 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.457 * [taylor]: Taking taylor expansion of -1 in y 1.457 * [taylor]: Taking taylor expansion of y in y 1.458 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 1.458 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.458 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.458 * [taylor]: Taking taylor expansion of x in y 1.458 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.458 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.458 * [taylor]: Taking taylor expansion of -1 in y 1.458 * [taylor]: Taking taylor expansion of x in y 1.459 * [taylor]: Taking taylor expansion of 1 in y 1.459 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.459 * [taylor]: Rewrote expression to (- (exp (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) 1) 1.459 * [taylor]: Taking taylor expansion of (exp (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.459 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.459 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) 1.459 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.459 * [taylor]: Taking taylor expansion of 1 in x 1.459 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.459 * [taylor]: Taking taylor expansion of 0.5 in x 1.459 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.459 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.459 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.459 * [taylor]: Taking taylor expansion of -1 in x 1.459 * [taylor]: Taking taylor expansion of y in x 1.459 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.459 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.460 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.460 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.460 * [taylor]: Taking taylor expansion of -1 in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of 1 in x 1.461 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.461 * [taylor]: Rewrote expression to (- (exp (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) 1) 1.461 * [taylor]: Taking taylor expansion of (exp (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) in x 1.461 * [taylor]: Taking taylor expansion of (log1p (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.462 * [taylor]: Rewrote expression to (log (+ 1 (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))))) 1.462 * [taylor]: Taking taylor expansion of (+ 1 (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.462 * [taylor]: Taking taylor expansion of 1 in x 1.462 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.462 * [taylor]: Taking taylor expansion of 0.5 in x 1.462 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.462 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.462 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.462 * [taylor]: Taking taylor expansion of -1 in x 1.462 * [taylor]: Taking taylor expansion of y in x 1.462 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.462 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.462 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.462 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.462 * [taylor]: Taking taylor expansion of -1 in x 1.462 * [taylor]: Taking taylor expansion of x in x 1.464 * [taylor]: Taking taylor expansion of 1 in x 1.464 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ -1 y)) (exp (/ 1 x)))) (* 0.5 (* (cos (/ -1 y)) (exp (/ -1 x))))) in y 1.464 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (exp (/ 1 x)))) in y 1.464 * [taylor]: Taking taylor expansion of 0.5 in y 1.464 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (exp (/ 1 x))) in y 1.464 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.465 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.465 * [taylor]: Taking taylor expansion of -1 in y 1.465 * [taylor]: Taking taylor expansion of y in y 1.465 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.465 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.465 * [taylor]: Taking taylor expansion of x in y 1.465 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (exp (/ -1 x)))) in y 1.465 * [taylor]: Taking taylor expansion of 0.5 in y 1.465 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (exp (/ -1 x))) in y 1.465 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.465 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.465 * [taylor]: Taking taylor expansion of -1 in y 1.465 * [taylor]: Taking taylor expansion of y in y 1.465 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.465 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.465 * [taylor]: Taking taylor expansion of -1 in y 1.466 * [taylor]: Taking taylor expansion of x in y 1.471 * [taylor]: Taking taylor expansion of 0 in y 1.480 * [taylor]: Taking taylor expansion of 0 in y 1.492 * [taylor]: Taking taylor expansion of 0 in y 1.492 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.493 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 1.493 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.493 * [taylor]: Taking taylor expansion of (exp x) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.493 * [taylor]: Taking taylor expansion of (- x) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.493 * [taylor]: Taking taylor expansion of (exp x) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.493 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.493 * [taylor]: Taking taylor expansion of (- x) in x 1.493 * [taylor]: Taking taylor expansion of x in x 1.508 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 1.508 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.508 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.508 * [taylor]: Taking taylor expansion of x in x 1.508 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.508 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.508 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.509 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.509 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.512 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 1.512 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.512 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.512 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.512 * [taylor]: Taking taylor expansion of -1 in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.512 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.512 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.512 * [taylor]: Taking taylor expansion of x in x 1.513 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.513 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.513 * [taylor]: Taking taylor expansion of -1 in x 1.513 * [taylor]: Taking taylor expansion of x in x 1.515 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.515 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in (x y) around 0 1.515 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in y 1.515 * [taylor]: Taking taylor expansion of 0.5 in y 1.515 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in y 1.515 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in y 1.515 * [taylor]: Taking taylor expansion of (exp x) in y 1.515 * [taylor]: Taking taylor expansion of x in y 1.515 * [taylor]: Taking taylor expansion of (exp (- x)) in y 1.515 * [taylor]: Taking taylor expansion of (- x) in y 1.515 * [taylor]: Taking taylor expansion of x in y 1.515 * [taylor]: Taking taylor expansion of (cos y) in y 1.515 * [taylor]: Taking taylor expansion of y in y 1.515 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 1.515 * [taylor]: Taking taylor expansion of 0.5 in x 1.515 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 1.515 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.515 * [taylor]: Taking taylor expansion of (exp x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.515 * [taylor]: Taking taylor expansion of (- x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of (cos y) in x 1.516 * [taylor]: Taking taylor expansion of y in x 1.516 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 1.516 * [taylor]: Taking taylor expansion of 0.5 in x 1.516 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 1.516 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.516 * [taylor]: Taking taylor expansion of (exp x) in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.516 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.516 * [taylor]: Taking taylor expansion of (- x) in x 1.516 * [taylor]: Taking taylor expansion of x in x 1.517 * [taylor]: Taking taylor expansion of (cos y) in x 1.517 * [taylor]: Taking taylor expansion of y in x 1.517 * [taylor]: Taking taylor expansion of (* 1.0 (cos y)) in y 1.517 * [taylor]: Taking taylor expansion of 1.0 in y 1.517 * [taylor]: Taking taylor expansion of (cos y) in y 1.517 * [taylor]: Taking taylor expansion of y in y 1.521 * [taylor]: Taking taylor expansion of 0 in y 1.527 * [taylor]: Taking taylor expansion of (* 0.5 (cos y)) in y 1.527 * [taylor]: Taking taylor expansion of 0.5 in y 1.527 * [taylor]: Taking taylor expansion of (cos y) in y 1.527 * [taylor]: Taking taylor expansion of y in y 1.536 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x y) around 0 1.536 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 1.536 * [taylor]: Taking taylor expansion of 0.5 in y 1.536 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 1.536 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.536 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.536 * [taylor]: Taking taylor expansion of y in y 1.536 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 1.536 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.536 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.536 * [taylor]: Taking taylor expansion of x in y 1.536 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.536 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.536 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.536 * [taylor]: Taking taylor expansion of x in y 1.536 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.536 * [taylor]: Taking taylor expansion of 0.5 in x 1.536 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.536 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.536 * [taylor]: Taking taylor expansion of y in x 1.537 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.537 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.537 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.538 * [taylor]: Taking taylor expansion of 0.5 in x 1.538 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.538 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.538 * [taylor]: Taking taylor expansion of y in x 1.538 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.538 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.538 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.539 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 1.539 * [taylor]: Taking taylor expansion of 0.5 in y 1.539 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 1.539 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.539 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.539 * [taylor]: Taking taylor expansion of y in y 1.540 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 1.540 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.540 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.540 * [taylor]: Taking taylor expansion of x in y 1.540 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.540 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.540 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.540 * [taylor]: Taking taylor expansion of x in y 1.543 * [taylor]: Taking taylor expansion of 0 in y 1.549 * [taylor]: Taking taylor expansion of 0 in y 1.556 * [taylor]: Taking taylor expansion of 0 in y 1.557 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x y) around 0 1.557 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 1.557 * [taylor]: Taking taylor expansion of 0.5 in y 1.557 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 1.557 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.557 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.557 * [taylor]: Taking taylor expansion of -1 in y 1.557 * [taylor]: Taking taylor expansion of y in y 1.557 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 1.557 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.557 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.557 * [taylor]: Taking taylor expansion of x in y 1.557 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.558 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.558 * [taylor]: Taking taylor expansion of -1 in y 1.558 * [taylor]: Taking taylor expansion of x in y 1.558 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.558 * [taylor]: Taking taylor expansion of 0.5 in x 1.558 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.558 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.558 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.558 * [taylor]: Taking taylor expansion of -1 in x 1.558 * [taylor]: Taking taylor expansion of y in x 1.558 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.558 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.558 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.558 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.558 * [taylor]: Taking taylor expansion of -1 in x 1.558 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.559 * [taylor]: Taking taylor expansion of 0.5 in x 1.559 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.559 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.559 * [taylor]: Taking taylor expansion of y in x 1.559 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.559 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.559 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.559 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.559 * [taylor]: Taking taylor expansion of -1 in x 1.559 * [taylor]: Taking taylor expansion of x in x 1.560 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 1.560 * [taylor]: Taking taylor expansion of 0.5 in y 1.560 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 1.560 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.560 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.561 * [taylor]: Taking taylor expansion of -1 in y 1.561 * [taylor]: Taking taylor expansion of y in y 1.561 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 1.561 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.561 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.561 * [taylor]: Taking taylor expansion of x in y 1.561 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.561 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.561 * [taylor]: Taking taylor expansion of -1 in y 1.561 * [taylor]: Taking taylor expansion of x in y 1.564 * [taylor]: Taking taylor expansion of 0 in y 1.569 * [taylor]: Taking taylor expansion of 0 in y 1.576 * [taylor]: Taking taylor expansion of 0 in y 1.577 * * * [progress]: simplifying candidates 1.578 * [simplify]: Simplifying using # : (+ 1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (log1p (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (log (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (exp (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (* (cbrt (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (cbrt (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))) (cbrt (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (* (* (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (sqrt (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (sqrt (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (exp (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (expm1 (expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))) (log1p (expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))) (log (expm1 (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))) (exp (expm1 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(pow (exp (- x)) 3)) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))) (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (+ (- (log (+ (exp x) (exp (- x)))) (log 2.0)) (log (cos y))) (+ (log (/ (+ (exp x) (exp (- x))) 2.0)) (log (cos y))) (log (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (exp (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (* (/ (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))) (* (* 2.0 2.0) 2.0)) (* (* (cos y) (cos y)) (cos y))) (* (* (* (/ (+ (exp x) (exp (- x))) 2.0) (/ (+ (exp x) (exp (- x))) 2.0)) (/ (+ (exp x) (exp (- x))) 2.0)) (* (* (cos y) (cos y)) (cos y))) (* (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos 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(pow y 2))) (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) 1.583 * * [simplify]: iteration 0 : 356 enodes (cost 759 ) 1.589 * * [simplify]: iteration 1 : 1192 enodes (cost 659 ) 1.610 * * [simplify]: iteration 2 : 5002 enodes (cost 656 ) 1.613 * [simplify]: Simplified to: (fma (/ (+ (exp x) (exp (- x))) 2.0) (cos y) 1) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (log1p (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (log (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (exp (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (* (cbrt (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (cbrt (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))) (cbrt (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (pow (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) 3) (sqrt (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (sqrt (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (exp (log1p (* (/ (+ (exp x) (exp (- x))) 2.0) (cos 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(* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (+ (exp x) (exp (- x))) 2.0) (* (cbrt (cos y)) (cbrt (cos y)))) (* (/ (+ (exp x) (exp (- x))) 2.0) (sqrt (cos y))) (/ (+ (exp x) (exp (- x))) 2.0) (* (cbrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)) (* (/ (cbrt (+ (exp x) (exp (- x)))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (+ (exp x) (exp (- x)))) 2.0) (cos y)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (cbrt 2.0)) (cos y)) (* (/ (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0)) (cos y)) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (cos y)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) (cbrt 2.0)) (cos y)) (* (/ (+ (exp x) (exp (- x))) (sqrt 2.0)) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ 1 2.0) (cos y)) (* (cos y) (+ (exp (* -1 x)) (exp x))) (fma 0.25 (- (pow x 2) (pow y 2)) (log 2.0)) (log1p (fma 0.5 (* (cos y) (exp x)) (* 0.5 (* (cos y) (exp (- x)))))) (log1p (fma 0.5 (* (cos y) (exp x)) (* 0.5 (* (cos y) (exp (- x)))))) (fma (pow x 2) 0.5 (- 1.0 (* 0.5 (pow y 2)))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) (fma x x (fma 1/12 (pow x 4) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) (fma (pow x 2) 0.5 (- 1.0 (* 0.5 (pow y 2)))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) 1.614 * * * [progress]: adding candidates to table 1.854 * [progress]: [Phase 3 of 3] Extracting. 1.854 * * [regime]: Finding splitpoints for: (# # #) 1.855 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.855 * * * * [regimes]: Trying to branch on y from (# # #) 1.875 * * * * [regimes]: Trying to branch on x from (# # #) 1.892 * * * [regime]: Found split indices: #