11.349 * [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 0.006 * * * * [points]: Setting MPFR precision to 64 0.007 * * * * [points]: Setting MPFR precision to 320 0.008 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.010 * * * * [points]: Setting MPFR precision to 64 0.011 * * * * [points]: Setting MPFR precision to 320 0.012 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.014 * * * * [points]: Setting MPFR precision to 64 0.015 * * * * [points]: Setting MPFR precision to 320 0.017 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.019 * * * * [points]: Setting MPFR precision to 64 0.022 * * * * [points]: Setting MPFR precision to 320 0.025 * * * * [points]: Computing exacts for 256 points 0.027 * * * * [points]: Setting MPFR precision to 64 0.035 * * * * [points]: Setting MPFR precision to 320 0.043 * * * * [points]: Filtering points with unrepresentable outputs 0.044 * * * * [points]: Sampling 128 additional inputs, on iter 1 have 128 / 256 0.045 * * * * [points]: Computing exacts on every 8 of 128 points to ramp up precision 0.047 * * * * [points]: Setting MPFR precision to 64 0.048 * * * * [points]: Setting MPFR precision to 320 0.049 * * * * [points]: Computing exacts on every 4 of 128 points to ramp up precision 0.051 * * * * [points]: Setting MPFR precision to 64 0.051 * * * * [points]: Setting MPFR precision to 320 0.053 * * * * [points]: Computing exacts on every 2 of 128 points to ramp up precision 0.055 * * * * [points]: Setting MPFR precision to 64 0.056 * * * * [points]: Setting MPFR precision to 320 0.058 * * * * [points]: Computing exacts for 128 points 0.060 * * * * [points]: Setting MPFR precision to 64 0.063 * * * * [points]: Setting MPFR precision to 320 0.068 * * * * [points]: Filtering points with unrepresentable outputs 0.068 * * * * [points]: Sampling 60 additional inputs, on iter 2 have 196 / 256 0.069 * * * * [points]: Computing exacts on every 3 of 60 points to ramp up precision 0.071 * * * * [points]: Setting MPFR precision to 64 0.072 * * * * [points]: Setting MPFR precision to 320 0.072 * * * * [points]: Computing exacts for 60 points 0.074 * * * * [points]: Setting MPFR precision to 64 0.076 * * * * [points]: Setting MPFR precision to 320 0.078 * * * * [points]: Filtering points with unrepresentable outputs 0.078 * * * * [points]: Sampling 33 additional inputs, on iter 3 have 223 / 256 0.079 * * * * [points]: Computing exacts on every 2 of 33 points to ramp up precision 0.081 * * * * [points]: Setting MPFR precision to 64 0.081 * * * * [points]: Setting MPFR precision to 320 0.082 * * * * [points]: Computing exacts for 33 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 15 additional inputs, on iter 4 have 241 / 256 0.087 * * * * [points]: Computing exacts for 15 points 0.089 * * * * [points]: Setting MPFR precision to 64 0.095 * * * * [points]: Setting MPFR precision to 320 0.096 * * * * [points]: Filtering points with unrepresentable outputs 0.096 * * * * [points]: Sampling 11 additional inputs, on iter 5 have 245 / 256 0.096 * * * * [points]: Computing exacts for 11 points 0.098 * * * * [points]: Setting MPFR precision to 64 0.099 * * * * [points]: Setting MPFR precision to 320 0.099 * * * * [points]: Filtering points with unrepresentable outputs 0.099 * * * * [points]: Sampling 9 additional inputs, on iter 6 have 247 / 256 0.099 * * * * [points]: Computing exacts for 9 points 0.101 * * * * [points]: Setting MPFR precision to 64 0.101 * * * * [points]: Setting MPFR precision to 320 0.102 * * * * [points]: Filtering points with unrepresentable outputs 0.102 * * * * [points]: Sampling 4 additional inputs, on iter 7 have 253 / 256 0.102 * * * * [points]: Computing exacts for 4 points 0.104 * * * * [points]: Setting MPFR precision to 64 0.104 * * * * [points]: Setting MPFR precision to 320 0.104 * * * * [points]: Filtering points with unrepresentable outputs 0.104 * * * * [points]: Sampling 4 additional inputs, on iter 8 have 254 / 256 0.104 * * * * [points]: Computing exacts for 4 points 0.106 * * * * [points]: Setting MPFR precision to 64 0.107 * * * * [points]: Setting MPFR precision to 320 0.107 * * * * [points]: Filtering points with unrepresentable outputs 0.107 * * * * [points]: Sampled 257 points with exact outputs 0.107 * * * [progress]: [2/2] Setting up program. 0.110 * [progress]: [Phase 2 of 3] Improving. 0.110 * [simplify]: Simplifying using # : (re (complex (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (- (exp x) (exp (- x))) 2.0) (sin y)))) 0.112 * * [simplify]: iteration 0 : 30 enodes (cost 7 ) 0.114 * * [simplify]: iteration 1 : 47 enodes (cost 7 ) 0.115 * * [simplify]: iteration 2 : 84 enodes (cost 7 ) 0.117 * * [simplify]: iteration 3 : 121 enodes (cost 7 ) 0.119 * * [simplify]: iteration 4 : 206 enodes (cost 7 ) 0.122 * * [simplify]: iteration 5 : 410 enodes (cost 7 ) 0.128 * * [simplify]: iteration 6 : 1017 enodes (cost 7 ) 0.139 * * [simplify]: iteration 7 : 2074 enodes (cost 7 ) 0.169 * * [simplify]: iteration 8 : 5001 enodes (cost 7 ) 0.169 * [simplify]: Simplified to: (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 0.172 * * [progress]: iteration 1 / 4 0.173 * * * [progress]: picking best candidate 0.175 * * * * [pick]: Picked # 0.175 * * * [progress]: localizing error 0.185 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.191 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.218 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 0.218 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.218 * [taylor]: Taking taylor expansion of (exp x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.218 * [taylor]: Taking taylor expansion of (- x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.218 * [taylor]: Taking taylor expansion of (exp x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.219 * [taylor]: Taking taylor expansion of (- x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.237 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.238 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x 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 0.242 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.242 * [taylor]: Taking taylor expansion of -1 in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.243 * [taylor]: Taking taylor expansion of -1 in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.245 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.245 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in (x y) around 0 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in y 0.245 * [taylor]: Taking taylor expansion of 0.5 in y 0.245 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in y 0.245 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in y 0.245 * [taylor]: Taking taylor expansion of (exp x) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (exp (- x)) in y 0.245 * [taylor]: Taking taylor expansion of (- x) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (cos y) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 0.245 * [taylor]: Taking taylor expansion of 0.5 in x 0.245 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 0.245 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.245 * [taylor]: Taking taylor expansion of (exp x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.245 * [taylor]: Taking taylor expansion of (- x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (cos y) in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 0.246 * [taylor]: Taking taylor expansion of 0.5 in x 0.246 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 0.246 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.246 * [taylor]: Taking taylor expansion of (exp x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.246 * [taylor]: Taking taylor expansion of (- x) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of (cos y) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (* 1.0 (cos y)) in y 0.247 * [taylor]: Taking taylor expansion of 1.0 in y 0.247 * [taylor]: Taking taylor expansion of (cos y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (cos y)) in y 0.258 * [taylor]: Taking taylor expansion of 0.5 in y 0.258 * [taylor]: Taking taylor expansion of (cos y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.260 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x y) around 0 0.261 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 0.261 * [taylor]: Taking taylor expansion of 0.5 in y 0.261 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 0.261 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 0.261 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 0.261 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.261 * [taylor]: Taking taylor expansion of x in y 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 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 0.262 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.262 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [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 x 0.262 * [taylor]: Taking taylor expansion of 0.5 in x 0.262 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.262 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.262 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 0.264 * [taylor]: Taking taylor expansion of 0.5 in y 0.264 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 0.264 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 0.264 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 0.265 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.281 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.281 * [taylor]: Taking taylor expansion of 0.5 in y 0.281 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.281 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.281 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.281 * [taylor]: Taking taylor expansion of -1 in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 0.282 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.282 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.282 * [taylor]: Taking taylor expansion of -1 in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.282 * [taylor]: Taking taylor expansion of 0.5 in x 0.282 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.282 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.282 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.282 * [taylor]: Taking taylor expansion of -1 in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.282 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.283 * [taylor]: Taking taylor expansion of 0.5 in x 0.283 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.283 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.283 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.285 * [taylor]: Taking taylor expansion of 0.5 in y 0.285 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.285 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.285 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.285 * [taylor]: Taking taylor expansion of -1 in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 0.285 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.285 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.285 * [taylor]: Taking taylor expansion of -1 in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.301 * * * [progress]: simplifying candidates 0.302 * [simplify]: Simplifying using # : (* (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))) (* (/ (+ (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)))) 0.306 * * [simplify]: iteration 0 : 277 enodes (cost 461 ) 0.311 * * [simplify]: iteration 1 : 1018 enodes (cost 404 ) 0.329 * * [simplify]: iteration 2 : 4757 enodes (cost 402 ) 0.459 * * [simplify]: iteration 3 : 5001 enodes (cost 402 ) 0.461 * [simplify]: Simplified to: (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)) (+ (exp (+ x x)) (- (exp (+ (- x) (- x))))) (- (exp x) (exp (- x))) (+ (exp (* -1 x)) (exp x)) (* (/ (+ (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))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (exp (* -1 x)) (exp x)) (+ (exp (* -1 x)) (exp x)) (+ (* 0.5 (- (pow x 2) (pow y 2))) 1.0) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) (* 0.5 (* (cos y) (+ (exp (* -1 x)) (exp x)))) 0.462 * * * [progress]: adding candidates to table 0.595 * * [progress]: iteration 2 / 4 0.595 * * * [progress]: picking best candidate 0.600 * * * * [pick]: Picked # 0.600 * * * [progress]: localizing error 0.613 * * * [progress]: generating rewritten candidates 0.613 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 2 1) 0.618 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.673 * * * [progress]: generating series expansions 0.673 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 2 1) 0.673 * [approximate]: Taking taylor expansion of (* 1/12 (pow x 4)) in (x) around 0 0.673 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.673 * [taylor]: Taking taylor expansion of 1/12 in x 0.673 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.674 * [taylor]: Taking taylor expansion of 1/12 in x 0.674 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.686 * [approximate]: Taking taylor expansion of (/ 1/12 (pow x 4)) in (x) around 0 0.686 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.686 * [taylor]: Taking taylor expansion of 1/12 in x 0.686 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.687 * [taylor]: Taking taylor expansion of 1/12 in x 0.687 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.697 * [approximate]: Taking taylor expansion of (/ 1/12 (pow x 4)) in (x) around 0 0.697 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.697 * [taylor]: Taking taylor expansion of 1/12 in x 0.697 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (/ 1/12 (pow x 4)) in x 0.698 * [taylor]: Taking taylor expansion of 1/12 in x 0.698 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.713 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.713 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos y) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))) in (x y) around 0 0.713 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos y) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))) in y 0.713 * [taylor]: Taking taylor expansion of 0.5 in y 0.713 * [taylor]: Taking taylor expansion of (* (cos y) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) in y 0.713 * [taylor]: Taking taylor expansion of (cos y) in y 0.713 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) in y 0.713 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.714 * [taylor]: Taking taylor expansion of x in y 0.714 * [taylor]: Taking taylor expansion of (+ (* 1/12 (pow x 4)) 2) in y 0.714 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in y 0.714 * [taylor]: Taking taylor expansion of 1/12 in y 0.714 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.714 * [taylor]: Taking taylor expansion of x in y 0.714 * [taylor]: Taking taylor expansion of 2 in y 0.714 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos y) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))) in x 0.714 * [taylor]: Taking taylor expansion of 0.5 in x 0.714 * [taylor]: Taking taylor expansion of (* (cos y) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) in x 0.714 * [taylor]: Taking taylor expansion of (cos y) in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) in x 0.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (+ (* 1/12 (pow x 4)) 2) in x 0.714 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.714 * [taylor]: Taking taylor expansion of 1/12 in x 0.714 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of 2 in x 0.714 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos y) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))) in x 0.714 * [taylor]: Taking taylor expansion of 0.5 in x 0.714 * [taylor]: Taking taylor expansion of (* (cos y) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) in x 0.714 * [taylor]: Taking taylor expansion of (cos y) in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) in x 0.714 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (+ (* 1/12 (pow x 4)) 2) in x 0.714 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.714 * [taylor]: Taking taylor expansion of 1/12 in x 0.714 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of 2 in x 0.715 * [taylor]: Taking taylor expansion of (* 1.0 (cos y)) in y 0.715 * [taylor]: Taking taylor expansion of 1.0 in y 0.715 * [taylor]: Taking taylor expansion of (cos y) in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of 0 in y 0.722 * [taylor]: Taking taylor expansion of (* 0.5 (cos y)) in y 0.722 * [taylor]: Taking taylor expansion of 0.5 in y 0.722 * [taylor]: Taking taylor expansion of (cos y) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.725 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)))) in (x y) around 0 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)))) in y 0.725 * [taylor]: Taking taylor expansion of 0.5 in y 0.725 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2))) in y 0.725 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)) in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.726 * [taylor]: Taking taylor expansion of x in y 0.726 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow x 4))) 2) in y 0.726 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow x 4))) in y 0.726 * [taylor]: Taking taylor expansion of 1/12 in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.726 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.726 * [taylor]: Taking taylor expansion of x in y 0.726 * [taylor]: Taking taylor expansion of 2 in y 0.726 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)))) in x 0.726 * [taylor]: Taking taylor expansion of 0.5 in x 0.726 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2))) in x 0.726 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow x 4))) 2) in x 0.727 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow x 4))) in x 0.727 * [taylor]: Taking taylor expansion of 1/12 in x 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.727 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of 2 in x 0.728 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)))) in x 0.728 * [taylor]: Taking taylor expansion of 0.5 in x 0.728 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2))) in x 0.728 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.728 * [taylor]: Taking taylor expansion of y in x 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)) in x 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.728 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.728 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow x 4))) 2) in x 0.728 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow x 4))) in x 0.728 * [taylor]: Taking taylor expansion of 1/12 in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.729 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of 2 in x 0.730 * [taylor]: Taking taylor expansion of (* 0.041666666666666664 (cos (/ 1 y))) in y 0.730 * [taylor]: Taking taylor expansion of 0.041666666666666664 in y 0.730 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.741 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 y))) in y 0.741 * [taylor]: Taking taylor expansion of 0.5 in y 0.741 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.751 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)))) in (x y) around 0 0.751 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)))) in y 0.751 * [taylor]: Taking taylor expansion of 0.5 in y 0.751 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2))) in y 0.751 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.751 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.751 * [taylor]: Taking taylor expansion of -1 in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)) in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow x 4))) 2) in y 0.751 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow x 4))) in y 0.751 * [taylor]: Taking taylor expansion of 1/12 in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 0.751 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.752 * [taylor]: Taking taylor expansion of 2 in y 0.752 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)))) in x 0.752 * [taylor]: Taking taylor expansion of 0.5 in x 0.752 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2))) in x 0.752 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.752 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.752 * [taylor]: Taking taylor expansion of -1 in x 0.752 * [taylor]: Taking taylor expansion of y in x 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)) in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.752 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.752 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow x 4))) 2) in x 0.752 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow x 4))) in x 0.752 * [taylor]: Taking taylor expansion of 1/12 in x 0.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.752 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.752 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of 2 in x 0.753 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)))) in x 0.753 * [taylor]: Taking taylor expansion of 0.5 in x 0.753 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2))) in x 0.753 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.753 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.753 * [taylor]: Taking taylor expansion of -1 in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (* 1/12 (/ 1 (pow x 4))) 2)) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.753 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.754 * [taylor]: Taking taylor expansion of (+ (* 1/12 (/ 1 (pow x 4))) 2) in x 0.754 * [taylor]: Taking taylor expansion of (* 1/12 (/ 1 (pow x 4))) in x 0.754 * [taylor]: Taking taylor expansion of 1/12 in x 0.754 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 0.754 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of 2 in x 0.756 * [taylor]: Taking taylor expansion of (* 0.041666666666666664 (cos (/ -1 y))) in y 0.756 * [taylor]: Taking taylor expansion of 0.041666666666666664 in y 0.756 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.756 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.756 * [taylor]: Taking taylor expansion of -1 in y 0.756 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.766 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 y))) in y 0.767 * [taylor]: Taking taylor expansion of 0.5 in y 0.767 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.767 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.767 * [taylor]: Taking taylor expansion of -1 in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.775 * [taylor]: Taking taylor expansion of 0 in y 0.776 * * * [progress]: simplifying candidates 0.778 * [simplify]: Simplifying using # : (+ (log 1/12) (* (log x) 4)) (+ (log 1/12) (* (log x) 4)) (+ (log 1/12) (log (pow x 4))) (log (* 1/12 (pow x 4))) (exp (* 1/12 (pow x 4))) (* (* (* 1/12 1/12) 1/12) (* (* (pow x 4) (pow x 4)) (pow x 4))) (* (cbrt (* 1/12 (pow x 4))) (cbrt (* 1/12 (pow x 4)))) (cbrt (* 1/12 (pow x 4))) (* (* (* 1/12 (pow x 4)) (* 1/12 (pow x 4))) (* 1/12 (pow x 4))) (sqrt (* 1/12 (pow x 4))) (sqrt (* 1/12 (pow x 4))) (* (sqrt 1/12) (pow (sqrt x) 4)) (* (sqrt 1/12) (pow (sqrt x) 4)) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (pow x (/ 4 2))) (* (sqrt 1/12) (pow x (/ 4 2))) (* 1/12 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/12 (pow (sqrt x) 4)) (* 1/12 (pow 1 4)) (* 1/12 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/12 (sqrt (pow x 4))) (* 1/12 1) (* 1/12 (pow x (/ 4 2))) (* (cbrt 1/12) (pow x 4)) (* (sqrt 1/12) (pow x 4)) (* 1/12 (pow x 4)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)) (+ (- (log (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (log 2.0)) (log (cos y))) (+ (log (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0)) (log (cos y))) (log (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (exp (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (* (/ (* (* (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (* (* 2.0 2.0) 2.0)) (* (* (cos y) (cos y)) (cos y))) (* (* (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0)) (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0)) (* (* (cos y) (cos y)) (cos y))) (* (cbrt (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (cbrt (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)))) (cbrt (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (* (* (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (sqrt (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (sqrt (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (* (sqrt (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0)) (sqrt (cos y))) (* (sqrt (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0)) (sqrt (cos y))) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (* (cbrt (cos y)) (cbrt (cos y)))) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (sqrt (cos y))) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) 1) (* (cbrt (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0)) (cos y)) (* (sqrt (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0)) (cos y)) (* (/ (cbrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 2.0) (cos y)) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (cbrt 2.0)) (cos y)) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (sqrt 2.0)) (cos y)) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 2.0) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (cbrt 2.0)) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (sqrt 2.0)) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (cbrt 2.0)) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (sqrt 2.0)) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)) (* (/ 1 2.0) (cos y)) (* (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (cos y)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (- (+ (* 0.5 (pow x 2)) 1.0) (* 0.5 (pow y 2))) (+ (* 0.041666666666666664 (* (pow x 4) (cos y))) (* 0.5 (* (pow x 2) (cos y)))) (+ (* 0.041666666666666664 (* (pow x 4) (cos y))) (* 0.5 (* (pow x 2) (cos y)))) 0.783 * * [simplify]: iteration 0 : 301 enodes (cost 504 ) 0.788 * * [simplify]: iteration 1 : 1243 enodes (cost 444 ) 0.812 * * [simplify]: iteration 2 : 5001 enodes (cost 440 ) 0.814 * [simplify]: Simplified to: (log (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (log (* 1/12 (pow x 4))) (exp (* 1/12 (pow x 4))) (pow (* 1/12 (pow x 4)) 3) (* (cbrt (* 1/12 (pow x 4))) (cbrt (* 1/12 (pow x 4)))) (cbrt (* 1/12 (pow x 4))) (pow (* 1/12 (pow x 4)) 3) (sqrt (* 1/12 (pow x 4))) (sqrt (* 1/12 (pow x 4))) (* (sqrt 1/12) (pow x 2)) (* (sqrt 1/12) (pow x 2)) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (sqrt (pow x 4))) (* (sqrt 1/12) (pow x 2)) (* (sqrt 1/12) (pow x 2)) (* 1/12 (pow (* (cbrt x) (cbrt x)) 4)) (* 1/12 (pow x 2)) 1/12 (* 1/12 (* (cbrt (pow x 4)) (cbrt (pow x 4)))) (* 1/12 (sqrt (pow x 4))) 1/12 (* 1/12 (pow x 2)) (* (cbrt 1/12) (pow x 4)) (* (sqrt 1/12) (pow x 4)) (* 1/12 (pow x 4)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)) (log (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (log (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (log (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (exp (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (pow (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)) 3) (pow (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)) 3) (* (cbrt (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (cbrt (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)))) (cbrt (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (pow (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)) 3) (sqrt (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (sqrt (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))) (* (sqrt (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0)) (sqrt (cos y))) (* (sqrt (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0)) (sqrt (cos y))) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (* (cbrt (cos y)) (cbrt (cos y)))) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (sqrt (cos y))) (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (* (cbrt (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0)) (cos y)) (* (sqrt (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0)) (cos y)) (* (/ (cbrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 2.0) (cos y)) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (cbrt 2.0)) (cos y)) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) (sqrt 2.0)) (cos y)) (* (/ (sqrt (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))) 2.0) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (cbrt 2.0)) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (sqrt 2.0)) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (cbrt 2.0)) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (sqrt 2.0)) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)) (* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y)) (/ (cos y) 2.0) (* (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) (cos y)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (* 1/12 (pow x 4)) (- (+ (* 0.5 (pow x 2)) 1.0) (* 0.5 (pow y 2))) (* (cos y) (+ (* 0.5 (pow x 2)) (* 0.041666666666666664 (pow x 4)))) (* (cos y) (+ (* 0.5 (pow x 2)) (* 0.041666666666666664 (pow x 4)))) 0.815 * * * [progress]: adding candidates to table 0.968 * * [progress]: iteration 3 / 4 0.968 * * * [progress]: picking best candidate 0.971 * * * * [pick]: Picked # 0.971 * * * [progress]: localizing error 0.988 * * * [progress]: generating rewritten candidates 0.988 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.041 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.072 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.077 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.087 * * * [progress]: generating series expansions 1.087 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.088 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in (x y) around 0 1.088 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in y 1.088 * [taylor]: Taking taylor expansion of 0.5 in y 1.088 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in y 1.088 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in y 1.088 * [taylor]: Taking taylor expansion of (exp x) in y 1.088 * [taylor]: Taking taylor expansion of x in y 1.088 * [taylor]: Taking taylor expansion of (exp (- x)) in y 1.088 * [taylor]: Taking taylor expansion of (- x) in y 1.088 * [taylor]: Taking taylor expansion of x in y 1.088 * [taylor]: Taking taylor expansion of (cos y) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.088 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 1.088 * [taylor]: Taking taylor expansion of 0.5 in x 1.088 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 1.088 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.088 * [taylor]: Taking taylor expansion of (exp x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.088 * [taylor]: Taking taylor expansion of (- x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (cos y) in x 1.089 * [taylor]: Taking taylor expansion of y in x 1.089 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 1.089 * [taylor]: Taking taylor expansion of 0.5 in x 1.089 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 1.089 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.089 * [taylor]: Taking taylor expansion of (exp x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.089 * [taylor]: Taking taylor expansion of (- x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (cos y) in x 1.090 * [taylor]: Taking taylor expansion of y in x 1.090 * [taylor]: Taking taylor expansion of (* 1.0 (cos y)) in y 1.090 * [taylor]: Taking taylor expansion of 1.0 in y 1.090 * [taylor]: Taking taylor expansion of (cos y) in y 1.090 * [taylor]: Taking taylor expansion of y in y 1.095 * [taylor]: Taking taylor expansion of 0 in y 1.100 * [taylor]: Taking taylor expansion of (* 0.5 (cos y)) in y 1.101 * [taylor]: Taking taylor expansion of 0.5 in y 1.101 * [taylor]: Taking taylor expansion of (cos y) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.104 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x y) around 0 1.104 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 1.104 * [taylor]: Taking taylor expansion of 0.5 in y 1.104 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 1.104 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.104 * [taylor]: Taking taylor expansion of y in y 1.105 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 1.105 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.105 * [taylor]: Taking taylor expansion of x in y 1.105 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.105 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.105 * [taylor]: Taking taylor expansion of x in y 1.105 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.105 * [taylor]: Taking taylor expansion of 0.5 in x 1.105 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.105 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.105 * [taylor]: Taking taylor expansion of y in x 1.105 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.105 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.105 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.105 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.105 * [taylor]: Taking taylor expansion of x in x 1.106 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.106 * [taylor]: Taking taylor expansion of 0.5 in x 1.106 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.106 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.106 * [taylor]: Taking taylor expansion of y in x 1.106 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.106 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.106 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.107 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.108 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 1.108 * [taylor]: Taking taylor expansion of 0.5 in y 1.108 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 1.108 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.108 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.108 * [taylor]: Taking taylor expansion of y in y 1.108 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 1.108 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.108 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.108 * [taylor]: Taking taylor expansion of x in y 1.108 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.108 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.108 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.108 * [taylor]: Taking taylor expansion of x in y 1.111 * [taylor]: Taking taylor expansion of 0 in y 1.117 * [taylor]: Taking taylor expansion of 0 in y 1.124 * [taylor]: Taking taylor expansion of 0 in y 1.125 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x y) around 0 1.125 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 1.125 * [taylor]: Taking taylor expansion of 0.5 in y 1.125 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 1.125 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.125 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.125 * [taylor]: Taking taylor expansion of -1 in y 1.125 * [taylor]: Taking taylor expansion of y in y 1.125 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 1.125 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.125 * [taylor]: Taking taylor expansion of x in y 1.125 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.125 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.126 * [taylor]: Taking taylor expansion of -1 in y 1.126 * [taylor]: Taking taylor expansion of x in y 1.126 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.126 * [taylor]: Taking taylor expansion of 0.5 in x 1.126 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.126 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.126 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.126 * [taylor]: Taking taylor expansion of -1 in x 1.126 * [taylor]: Taking taylor expansion of y in x 1.126 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.126 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.126 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.126 * [taylor]: Taking taylor expansion of -1 in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.127 * [taylor]: Taking taylor expansion of 0.5 in x 1.127 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.127 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.127 * [taylor]: Taking taylor expansion of -1 in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.127 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.127 * [taylor]: Taking taylor expansion of -1 in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 1.128 * [taylor]: Taking taylor expansion of 0.5 in y 1.128 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 1.128 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.128 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.128 * [taylor]: Taking taylor expansion of -1 in y 1.128 * [taylor]: Taking taylor expansion of y in y 1.128 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 1.129 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.129 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.129 * [taylor]: Taking taylor expansion of x in y 1.129 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.129 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.129 * [taylor]: Taking taylor expansion of -1 in y 1.129 * [taylor]: Taking taylor expansion of x in y 1.131 * [taylor]: Taking taylor expansion of 0 in y 1.142 * [taylor]: Taking taylor expansion of 0 in y 1.149 * [taylor]: Taking taylor expansion of 0 in y 1.149 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.149 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp x) (exp (- x)))) (cos y))) in (x y) around 0 1.149 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp x) (exp (- x)))) (cos y))) in y 1.149 * [taylor]: Taking taylor expansion of 0.5 in y 1.149 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp x) (exp (- x)))) (cos y)) in y 1.149 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in y 1.149 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in y 1.149 * [taylor]: Taking taylor expansion of (exp x) in y 1.149 * [taylor]: Taking taylor expansion of x in y 1.150 * [taylor]: Taking taylor expansion of (exp (- x)) in y 1.150 * [taylor]: Taking taylor expansion of (- x) in y 1.150 * [taylor]: Taking taylor expansion of x in y 1.151 * [taylor]: Taking taylor expansion of (cos y) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.151 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp x) (exp (- x)))) (cos y))) in x 1.151 * [taylor]: Taking taylor expansion of 0.5 in x 1.151 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp x) (exp (- x)))) (cos y)) in x 1.151 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 1.151 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.151 * [taylor]: Taking taylor expansion of (exp x) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.152 * [taylor]: Taking taylor expansion of (- x) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (cos y) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp x) (exp (- x)))) (cos y))) in x 1.155 * [taylor]: Taking taylor expansion of 0.5 in x 1.155 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp x) (exp (- x)))) (cos y)) in x 1.155 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 1.155 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.155 * [taylor]: Taking taylor expansion of (exp x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.155 * [taylor]: Taking taylor expansion of (- x) in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.157 * [taylor]: Taking taylor expansion of (cos y) in x 1.158 * [taylor]: Taking taylor expansion of y in x 1.158 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt 2) (cos y))) in y 1.159 * [taylor]: Taking taylor expansion of 0.5 in y 1.159 * [taylor]: Taking taylor expansion of (* (sqrt 2) (cos y)) in y 1.159 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.159 * [taylor]: Taking taylor expansion of 2 in y 1.159 * [taylor]: Taking taylor expansion of (cos y) in y 1.159 * [taylor]: Taking taylor expansion of y in y 1.163 * [taylor]: Taking taylor expansion of 0 in y 1.173 * [taylor]: Taking taylor expansion of (* 0.25 (/ (cos y) (sqrt 2))) in y 1.173 * [taylor]: Taking taylor expansion of 0.25 in y 1.173 * [taylor]: Taking taylor expansion of (/ (cos y) (sqrt 2)) in y 1.173 * [taylor]: Taking taylor expansion of (cos y) in y 1.173 * [taylor]: Taking taylor expansion of y in y 1.173 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.173 * [taylor]: Taking taylor expansion of 2 in y 1.184 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x y) around 0 1.184 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in y 1.184 * [taylor]: Taking taylor expansion of 0.5 in y 1.185 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 1.185 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.185 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.185 * [taylor]: Taking taylor expansion of y in y 1.185 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 1.185 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 1.185 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.185 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.185 * [taylor]: Taking taylor expansion of x in y 1.185 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.185 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.185 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.185 * [taylor]: Taking taylor expansion of x in y 1.187 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.187 * [taylor]: Taking taylor expansion of 0.5 in x 1.187 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.187 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.187 * [taylor]: Taking taylor expansion of y in x 1.187 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.187 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.187 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.187 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.188 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.189 * [taylor]: Taking taylor expansion of 0.5 in x 1.189 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.189 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.189 * [taylor]: Taking taylor expansion of y in x 1.189 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.189 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.189 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.189 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.191 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in y 1.191 * [taylor]: Taking taylor expansion of 0.5 in y 1.191 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 1.191 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.191 * [taylor]: Taking taylor expansion of y in y 1.191 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 1.191 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 1.191 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.191 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.191 * [taylor]: Taking taylor expansion of x in y 1.191 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.191 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.191 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.191 * [taylor]: Taking taylor expansion of x in y 1.196 * [taylor]: Taking taylor expansion of 0 in y 1.201 * [taylor]: Taking taylor expansion of 0 in y 1.210 * [taylor]: Taking taylor expansion of 0 in y 1.210 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x y) around 0 1.210 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in y 1.210 * [taylor]: Taking taylor expansion of 0.5 in y 1.210 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 1.210 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.210 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.210 * [taylor]: Taking taylor expansion of -1 in y 1.210 * [taylor]: Taking taylor expansion of y in y 1.210 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 1.210 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 1.210 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.211 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.211 * [taylor]: Taking taylor expansion of x in y 1.211 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.211 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.211 * [taylor]: Taking taylor expansion of -1 in y 1.211 * [taylor]: Taking taylor expansion of x in y 1.212 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.212 * [taylor]: Taking taylor expansion of 0.5 in x 1.212 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.212 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.212 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.212 * [taylor]: Taking taylor expansion of -1 in x 1.212 * [taylor]: Taking taylor expansion of y in x 1.212 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.212 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.212 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.213 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.213 * [taylor]: Taking taylor expansion of -1 in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.214 * [taylor]: Taking taylor expansion of 0.5 in x 1.214 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.214 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.214 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.214 * [taylor]: Taking taylor expansion of -1 in x 1.214 * [taylor]: Taking taylor expansion of y in x 1.214 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.214 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.214 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.214 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.214 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.214 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.214 * [taylor]: Taking taylor expansion of -1 in x 1.214 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in y 1.216 * [taylor]: Taking taylor expansion of 0.5 in y 1.216 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 1.216 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.216 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.216 * [taylor]: Taking taylor expansion of -1 in y 1.216 * [taylor]: Taking taylor expansion of y in y 1.216 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 1.216 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 1.216 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.216 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.216 * [taylor]: Taking taylor expansion of x in y 1.216 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.216 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.216 * [taylor]: Taking taylor expansion of -1 in y 1.216 * [taylor]: Taking taylor expansion of x in y 1.221 * [taylor]: Taking taylor expansion of 0 in y 1.230 * [taylor]: Taking taylor expansion of 0 in y 1.238 * [taylor]: Taking taylor expansion of 0 in y 1.238 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.239 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 1.239 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.239 * [taylor]: Taking taylor expansion of (exp x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.239 * [taylor]: Taking taylor expansion of (- x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.239 * [taylor]: Taking taylor expansion of (exp x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.239 * [taylor]: Taking taylor expansion of (- x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.254 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 1.254 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.254 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.254 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.254 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.254 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.255 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.255 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.255 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.255 * [taylor]: Taking taylor expansion of x in x 1.257 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 1.257 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.257 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.257 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.257 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.258 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.258 * [taylor]: Taking taylor expansion of -1 in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.258 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.258 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.258 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.259 * [taylor]: Taking taylor expansion of -1 in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.260 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.261 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 1.261 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.261 * [taylor]: Taking taylor expansion of (exp x) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.261 * [taylor]: Taking taylor expansion of (- x) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.261 * [taylor]: Taking taylor expansion of (exp x) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.261 * [taylor]: Taking taylor expansion of (- x) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.275 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 1.275 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.276 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.276 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.276 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.276 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.277 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.279 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 1.279 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.279 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.279 * [taylor]: Taking taylor expansion of x in x 1.279 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.280 * [taylor]: Taking taylor expansion of -1 in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.280 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.280 * [taylor]: Taking taylor expansion of -1 in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.282 * * * [progress]: simplifying candidates 1.286 * [simplify]: Simplifying using # : (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))) (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))) (+ (- (log (sqrt (+ (exp x) (exp (- x))))) 0) (+ (- (log (sqrt (+ (exp x) (exp (- x))))) (log 2.0)) (log (cos y)))) (+ (- (log (sqrt (+ (exp x) (exp (- x))))) 0) (+ (log (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (log (cos y)))) (+ (- (log (sqrt (+ (exp x) (exp (- x))))) 0) (log (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))) (+ (- (log (sqrt (+ (exp x) (exp (- x))))) (log 1)) (+ (- (log (sqrt (+ (exp x) (exp (- x))))) (log 2.0)) (log (cos y)))) (+ (- (log (sqrt (+ (exp x) (exp (- x))))) (log 1)) (+ (log (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (log (cos y)))) (+ (- (log (sqrt (+ (exp x) (exp (- x))))) (log 1)) (log (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))) (+ (log (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (+ (- (log (sqrt (+ (exp x) (exp (- x))))) (log 2.0)) (log (cos y)))) (+ (log (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (+ (log (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (log (cos y)))) (+ (log (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (log (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))) (log (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))) (exp (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))) (* (/ (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) (* (* 1 1) 1)) (* (/ (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) (* (* 2.0 2.0) 2.0)) (* (* (cos y) (cos y)) (cos y)))) (* (/ (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) (* (* 1 1) 1)) (* (* (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (* (cos y) (cos y)) (cos y)))) (* (/ (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) (* (* 1 1) 1)) (* (* (* (/ (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) (cos y)))) (* (* (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (* (/ (* (* (sqrt (+ (exp x) (exp (- x)))) (sqrt (+ (exp x) (exp (- x))))) (sqrt (+ (exp x) (exp (- x))))) (* (* 2.0 2.0) 2.0)) (* (* (cos y) (cos y)) (cos y)))) (* (* (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (* (* (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (* (cos y) (cos y)) (cos y)))) (* (* (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (* (* (* (/ (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) (cos y)))) (* (cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))) (cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))))) (cbrt (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))) (* (* (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))) (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))) (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))) (sqrt (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))) (sqrt (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))) (* (sqrt (+ (exp x) (exp (- x)))) (* (sqrt (+ (exp x) (exp (- x)))) (cos y))) (* 1 2.0) (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (/ (sqrt (+ (exp x) (exp (- x)))) 2.0)) (* (cbrt (/ (sqrt (+ (exp x) (exp (- x)))) 1)) (* (/ (sqrt (+ 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