12.506 * [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 0.016 * * * * [points]: Setting MPFR precision to 320 0.018 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.020 * * * * [points]: Setting MPFR precision to 64 0.022 * * * * [points]: Setting MPFR precision to 320 0.026 * * * * [points]: Computing exacts for 256 points 0.028 * * * * [points]: Setting MPFR precision to 64 0.035 * * * * [points]: Setting MPFR precision to 320 0.044 * * * * [points]: Filtering points with unrepresentable outputs 0.045 * * * * [points]: Sampling 128 additional inputs, on iter 1 have 128 / 256 0.046 * * * * [points]: Computing exacts on every 8 of 128 points to ramp up precision 0.048 * * * * [points]: Setting MPFR precision to 64 0.049 * * * * [points]: Setting MPFR precision to 320 0.050 * * * * [points]: Computing exacts on every 4 of 128 points to ramp up precision 0.051 * * * * [points]: Setting MPFR precision to 64 0.052 * * * * [points]: Setting MPFR precision to 320 0.054 * * * * [points]: Computing exacts on every 2 of 128 points to ramp up precision 0.056 * * * * [points]: Setting MPFR precision to 64 0.057 * * * * [points]: Setting MPFR precision to 320 0.059 * * * * [points]: Computing exacts for 128 points 0.061 * * * * [points]: Setting MPFR precision to 64 0.065 * * * * [points]: Setting MPFR precision to 320 0.070 * * * * [points]: Filtering points with unrepresentable outputs 0.070 * * * * [points]: Sampling 60 additional inputs, on iter 2 have 196 / 256 0.070 * * * * [points]: Computing exacts on every 3 of 60 points to ramp up precision 0.072 * * * * [points]: Setting MPFR precision to 64 0.077 * * * * [points]: Setting MPFR precision to 320 0.078 * * * * [points]: Computing exacts for 60 points 0.080 * * * * [points]: Setting MPFR precision to 64 0.082 * * * * [points]: Setting MPFR precision to 320 0.084 * * * * [points]: Filtering points with unrepresentable outputs 0.084 * * * * [points]: Sampling 33 additional inputs, on iter 3 have 223 / 256 0.085 * * * * [points]: Computing exacts on every 2 of 33 points to ramp up precision 0.087 * * * * [points]: Setting MPFR precision to 64 0.088 * * * * [points]: Setting MPFR precision to 320 0.088 * * * * [points]: Computing exacts for 33 points 0.090 * * * * [points]: Setting MPFR precision to 64 0.091 * * * * [points]: Setting MPFR precision to 320 0.092 * * * * [points]: Filtering points with unrepresentable outputs 0.092 * * * * [points]: Sampling 15 additional inputs, on iter 4 have 241 / 256 0.093 * * * * [points]: Computing exacts for 15 points 0.095 * * * * [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 0.098 * * * * [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 0.106 * * * * [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 ) 0.113 * * [simplify]: iteration 1 : 47 enodes (cost 7 ) 0.115 * * [simplify]: iteration 2 : 84 enodes (cost 7 ) 0.117 * * [simplify]: iteration 3 : 131 enodes (cost 7 ) 0.119 * * [simplify]: iteration 4 : 223 enodes (cost 7 ) 0.122 * * [simplify]: iteration 5 : 466 enodes (cost 7 ) 0.128 * * [simplify]: iteration 6 : 1123 enodes (cost 7 ) 0.140 * * [simplify]: iteration 7 : 2244 enodes (cost 7 ) 0.168 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.168 * [simplify]: Simplified to: (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 0.171 * * [progress]: iteration 1 / 4 0.171 * * * [progress]: picking best candidate 0.173 * * * * [pick]: Picked # 0.173 * * * [progress]: localizing error 0.184 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.190 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.221 * * * [progress]: generating series expansions 0.221 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.221 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 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 0.222 * [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 0.222 * [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 0.237 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 0.237 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.237 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [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 0.238 * [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 0.239 * [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 0.241 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.241 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [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 0.242 * [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 0.245 * * * * [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 0.246 * [taylor]: Taking taylor expansion of (cos y) in x 0.246 * [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 0.261 * [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 0.262 * [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 0.262 * [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 (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 0.263 * [taylor]: Taking taylor expansion of 0.5 in x 0.263 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.263 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 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 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 0.265 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 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 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 0.282 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x y) around 0 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.282 * [taylor]: Taking taylor expansion of 0.5 in y 0.282 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.282 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.282 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.282 * [taylor]: Taking taylor expansion of -1 in y 0.282 * [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 0.284 * [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 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.306 * * * [progress]: simplifying candidates 0.308 * [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)))) 0.312 * * [simplify]: iteration 0 : 286 enodes (cost 487 ) 0.317 * * [simplify]: iteration 1 : 1053 enodes (cost 428 ) 0.336 * * [simplify]: iteration 2 : 4913 enodes (cost 426 ) 0.468 * * [simplify]: iteration 3 : 5001 enodes (cost 426 ) 0.471 * [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)))) 0.472 * * * [progress]: adding candidates to table 0.622 * * [progress]: iteration 2 / 4 0.622 * * * [progress]: picking best candidate 0.626 * * * * [pick]: Picked # 0.626 * * * [progress]: localizing error 0.638 * * * [progress]: generating rewritten candidates 0.638 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 3) 0.638 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.647 * * * [progress]: generating series expansions 0.648 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 3) 0.648 * [approximate]: Taking taylor expansion of (fma 1/12 (pow x 4) 2) in (x) around 0 0.648 * [taylor]: Taking taylor expansion of (fma 1/12 (pow x 4) 2) in x 0.648 * [taylor]: Rewrote expression to (+ (* 1/12 (pow x 4)) 2) 0.648 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.648 * [taylor]: Taking taylor expansion of 1/12 in x 0.648 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of 2 in x 0.648 * [taylor]: Taking taylor expansion of (fma 1/12 (pow x 4) 2) in x 0.648 * [taylor]: Rewrote expression to (+ (* 1/12 (pow x 4)) 2) 0.648 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.648 * [taylor]: Taking taylor expansion of 1/12 in x 0.648 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of 2 in x 0.662 * [approximate]: Taking taylor expansion of (fma 1/12 (pow (/ 1 x) 4) 2) in (x) around 0 0.662 * [taylor]: Taking taylor expansion of (fma 1/12 (pow (/ 1 x) 4) 2) in x 0.662 * [taylor]: Rewrote expression to (+ (* 1/12 (pow (/ 1 x) 4)) 2) 0.662 * [taylor]: Taking taylor expansion of (* 1/12 (pow (/ 1 x) 4)) in x 0.662 * [taylor]: Taking taylor expansion of 1/12 in x 0.662 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of 2 in x 0.662 * [taylor]: Taking taylor expansion of (fma 1/12 (pow (/ 1 x) 4) 2) in x 0.663 * [taylor]: Rewrote expression to (+ (* 1/12 (pow (/ 1 x) 4)) 2) 0.663 * [taylor]: Taking taylor expansion of (* 1/12 (pow (/ 1 x) 4)) in x 0.663 * [taylor]: Taking taylor expansion of 1/12 in x 0.663 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of 2 in x 0.697 * [approximate]: Taking taylor expansion of (fma 1/12 (pow (/ -1 x) 4) 2) in (x) around 0 0.697 * [taylor]: Taking taylor expansion of (fma 1/12 (pow (/ -1 x) 4) 2) in x 0.697 * [taylor]: Rewrote expression to (+ (* 1/12 (pow (/ -1 x) 4)) 2) 0.697 * [taylor]: Taking taylor expansion of (* 1/12 (pow (/ -1 x) 4)) in x 0.697 * [taylor]: Taking taylor expansion of 1/12 in x 0.697 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.697 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.697 * [taylor]: Taking taylor expansion of -1 in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of 2 in x 0.698 * [taylor]: Taking taylor expansion of (fma 1/12 (pow (/ -1 x) 4) 2) in x 0.698 * [taylor]: Rewrote expression to (+ (* 1/12 (pow (/ -1 x) 4)) 2) 0.698 * [taylor]: Taking taylor expansion of (* 1/12 (pow (/ -1 x) 4)) in x 0.698 * [taylor]: Taking taylor expansion of 1/12 in x 0.698 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.698 * [taylor]: Taking taylor expansion of -1 in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of 2 in x 0.729 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.729 * [approximate]: Taking taylor expansion of (* 0.5 (* (fma x x (fma 1/12 (pow x 4) 2)) (cos y))) in (x y) around 0 0.729 * [taylor]: Taking taylor expansion of (* 0.5 (* (fma x x (fma 1/12 (pow x 4) 2)) (cos y))) in y 0.729 * [taylor]: Taking taylor expansion of 0.5 in y 0.729 * [taylor]: Taking taylor expansion of (* (fma x x (fma 1/12 (pow x 4) 2)) (cos y)) in y 0.729 * [taylor]: Taking taylor expansion of (fma x x (fma 1/12 (pow x 4) 2)) in y 0.729 * [taylor]: Rewrote expression to (+ (* x x) (fma 1/12 (pow x 4) 2)) 0.729 * [taylor]: Taking taylor expansion of (* x x) in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of x in y 0.729 * [taylor]: Taking taylor expansion of (fma 1/12 (pow x 4) 2) in y 0.730 * [taylor]: Rewrote expression to (+ (* 1/12 (pow x 4)) 2) 0.730 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in y 0.730 * [taylor]: Taking taylor expansion of 1/12 in y 0.730 * [taylor]: Taking taylor expansion of (pow x 4) in y 0.730 * [taylor]: Taking taylor expansion of x in y 0.730 * [taylor]: Taking taylor expansion of 2 in y 0.730 * [taylor]: Taking taylor expansion of (cos y) in y 0.730 * [taylor]: Taking taylor expansion of y in y 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (* (fma x x (fma 1/12 (pow x 4) 2)) (cos y))) in x 0.730 * [taylor]: Taking taylor expansion of 0.5 in x 0.730 * [taylor]: Taking taylor expansion of (* (fma x x (fma 1/12 (pow x 4) 2)) (cos y)) in x 0.730 * [taylor]: Taking taylor expansion of (fma x x (fma 1/12 (pow x 4) 2)) in x 0.730 * [taylor]: Rewrote expression to (+ (* x x) (fma 1/12 (pow x 4) 2)) 0.730 * [taylor]: Taking taylor expansion of (* x x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (fma 1/12 (pow x 4) 2) in x 0.730 * [taylor]: Rewrote expression to (+ (* 1/12 (pow x 4)) 2) 0.730 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.730 * [taylor]: Taking taylor expansion of 1/12 in x 0.730 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of 2 in x 0.730 * [taylor]: Taking taylor expansion of (cos y) in x 0.730 * [taylor]: Taking taylor expansion of y in x 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (* (fma x x (fma 1/12 (pow x 4) 2)) (cos y))) in x 0.730 * [taylor]: Taking taylor expansion of 0.5 in x 0.730 * [taylor]: Taking taylor expansion of (* (fma x x (fma 1/12 (pow x 4) 2)) (cos y)) in x 0.730 * [taylor]: Taking taylor expansion of (fma x x (fma 1/12 (pow x 4) 2)) in x 0.730 * [taylor]: Rewrote expression to (+ (* x x) (fma 1/12 (pow x 4) 2)) 0.730 * [taylor]: Taking taylor expansion of (* x x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (fma 1/12 (pow x 4) 2) in x 0.730 * [taylor]: Rewrote expression to (+ (* 1/12 (pow x 4)) 2) 0.730 * [taylor]: Taking taylor expansion of (* 1/12 (pow x 4)) in x 0.730 * [taylor]: Taking taylor expansion of 1/12 in x 0.730 * [taylor]: Taking taylor expansion of (pow x 4) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of 2 in x 0.731 * [taylor]: Taking taylor expansion of (cos y) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.732 * [taylor]: Taking taylor expansion of (* 1.0 (cos y)) in y 0.732 * [taylor]: Taking taylor expansion of 1.0 in y 0.732 * [taylor]: Taking taylor expansion of (cos y) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of 0 in y 0.739 * [taylor]: Taking taylor expansion of (* 0.5 (cos y)) in y 0.739 * [taylor]: Taking taylor expansion of 0.5 in y 0.739 * [taylor]: Taking taylor expansion of (cos y) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.742 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (fma (/ 1 x) (/ 1 x) (fma 1/12 (pow (/ 1 x) 4) 2)))) in (x y) around 0 0.742 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (fma (/ 1 x) (/ 1 x) (fma 1/12 (pow (/ 1 x) 4) 2)))) in y 0.742 * [taylor]: Taking taylor expansion of 0.5 in y 0.742 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (fma (/ 1 x) (/ 1 x) (fma 1/12 (pow (/ 1 x) 4) 2))) in y 0.742 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.742 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.743 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma 1/12 (pow (/ 1 x) 4) 2)) in y 0.743 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma 1/12 (pow (/ 1 x) 4) 2)) 0.743 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.743 * [taylor]: Taking taylor expansion of x in y 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.743 * [taylor]: Taking taylor expansion of x in y 0.743 * [taylor]: Taking taylor expansion of (fma 1/12 (pow (/ 1 x) 4) 2) in y 0.743 * [taylor]: Rewrote expression to (+ (* 1/12 (pow (/ 1 x) 4)) 2) 0.743 * [taylor]: Taking taylor expansion of (* 1/12 (pow (/ 1 x) 4)) in y 0.743 * [taylor]: Taking taylor expansion of 1/12 in y 0.743 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in y 0.743 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.743 * [taylor]: Taking taylor expansion of x in y 0.743 * [taylor]: Taking taylor expansion of 2 in y 0.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (fma (/ 1 x) (/ 1 x) (fma 1/12 (pow (/ 1 x) 4) 2)))) in x 0.743 * [taylor]: Taking taylor expansion of 0.5 in x 0.743 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (fma (/ 1 x) (/ 1 x) (fma 1/12 (pow (/ 1 x) 4) 2))) in x 0.743 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.743 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma 1/12 (pow (/ 1 x) 4) 2)) in x 0.744 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma 1/12 (pow (/ 1 x) 4) 2)) 0.744 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (fma 1/12 (pow (/ 1 x) 4) 2) in x 0.744 * [taylor]: Rewrote expression to (+ (* 1/12 (pow (/ 1 x) 4)) 2) 0.744 * [taylor]: Taking taylor expansion of (* 1/12 (pow (/ 1 x) 4)) in x 0.744 * [taylor]: Taking taylor expansion of 1/12 in x 0.744 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of 2 in x 0.745 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (fma (/ 1 x) (/ 1 x) (fma 1/12 (pow (/ 1 x) 4) 2)))) in x 0.745 * [taylor]: Taking taylor expansion of 0.5 in x 0.745 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (fma (/ 1 x) (/ 1 x) (fma 1/12 (pow (/ 1 x) 4) 2))) in x 0.745 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.745 * [taylor]: Taking taylor expansion of y in x 0.745 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (fma 1/12 (pow (/ 1 x) 4) 2)) in x 0.745 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (fma 1/12 (pow (/ 1 x) 4) 2)) 0.745 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of (fma 1/12 (pow (/ 1 x) 4) 2) in x 0.746 * [taylor]: Rewrote expression to (+ (* 1/12 (pow (/ 1 x) 4)) 2) 0.746 * [taylor]: Taking taylor expansion of (* 1/12 (pow (/ 1 x) 4)) in x 0.746 * [taylor]: Taking taylor expansion of 1/12 in x 0.746 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 4) in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of 2 in x 0.748 * [taylor]: Taking taylor expansion of (* 0.041666666666666664 (cos (/ 1 y))) in y 0.748 * [taylor]: Taking taylor expansion of 0.041666666666666664 in y 0.748 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.752 * [taylor]: Taking taylor expansion of 0 in y 0.758 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ 1 y))) in y 0.758 * [taylor]: Taking taylor expansion of 0.5 in y 0.758 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.772 * [taylor]: Taking taylor expansion of 0 in y 0.774 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (fma (/ -1 x) (/ -1 x) (fma 1/12 (pow (/ -1 x) 4) 2)))) in (x y) around 0 0.774 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (fma (/ -1 x) (/ -1 x) (fma 1/12 (pow (/ -1 x) 4) 2)))) in y 0.774 * [taylor]: Taking taylor expansion of 0.5 in y 0.774 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (fma (/ -1 x) (/ -1 x) (fma 1/12 (pow (/ -1 x) 4) 2))) in y 0.774 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.774 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.774 * [taylor]: Taking taylor expansion of -1 in y 0.774 * [taylor]: Taking taylor expansion of y in y 0.774 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma 1/12 (pow (/ -1 x) 4) 2)) in y 0.775 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma 1/12 (pow (/ -1 x) 4) 2)) 0.775 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.775 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.775 * [taylor]: Taking taylor expansion of -1 in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.775 * [taylor]: Taking taylor expansion of -1 in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [taylor]: Taking taylor expansion of (fma 1/12 (pow (/ -1 x) 4) 2) in y 0.775 * [taylor]: Rewrote expression to (+ (* 1/12 (pow (/ -1 x) 4)) 2) 0.775 * [taylor]: Taking taylor expansion of (* 1/12 (pow (/ -1 x) 4)) in y 0.775 * [taylor]: Taking taylor expansion of 1/12 in y 0.775 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in y 0.775 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.775 * [taylor]: Taking taylor expansion of -1 in y 0.775 * [taylor]: Taking taylor expansion of x in y 0.775 * [taylor]: Taking taylor expansion of 2 in y 0.775 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (fma (/ -1 x) (/ -1 x) (fma 1/12 (pow (/ -1 x) 4) 2)))) in x 0.775 * [taylor]: Taking taylor expansion of 0.5 in x 0.775 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (fma (/ -1 x) (/ -1 x) (fma 1/12 (pow (/ -1 x) 4) 2))) in x 0.775 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.775 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.775 * [taylor]: Taking taylor expansion of -1 in x 0.775 * [taylor]: Taking taylor expansion of y in x 0.775 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma 1/12 (pow (/ -1 x) 4) 2)) in x 0.775 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma 1/12 (pow (/ -1 x) 4) 2)) 0.775 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.775 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.775 * [taylor]: Taking taylor expansion of -1 in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.776 * [taylor]: Taking taylor expansion of -1 in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (fma 1/12 (pow (/ -1 x) 4) 2) in x 0.776 * [taylor]: Rewrote expression to (+ (* 1/12 (pow (/ -1 x) 4)) 2) 0.776 * [taylor]: Taking taylor expansion of (* 1/12 (pow (/ -1 x) 4)) in x 0.776 * [taylor]: Taking taylor expansion of 1/12 in x 0.776 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.776 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.776 * [taylor]: Taking taylor expansion of -1 in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of 2 in x 0.776 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (fma (/ -1 x) (/ -1 x) (fma 1/12 (pow (/ -1 x) 4) 2)))) in x 0.776 * [taylor]: Taking taylor expansion of 0.5 in x 0.777 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (fma (/ -1 x) (/ -1 x) (fma 1/12 (pow (/ -1 x) 4) 2))) in x 0.777 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.777 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.777 * [taylor]: Taking taylor expansion of -1 in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (fma 1/12 (pow (/ -1 x) 4) 2)) in x 0.777 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (fma 1/12 (pow (/ -1 x) 4) 2)) 0.777 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.777 * [taylor]: Taking taylor expansion of -1 in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.777 * [taylor]: Taking taylor expansion of -1 in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (fma 1/12 (pow (/ -1 x) 4) 2) in x 0.778 * [taylor]: Rewrote expression to (+ (* 1/12 (pow (/ -1 x) 4)) 2) 0.778 * [taylor]: Taking taylor expansion of (* 1/12 (pow (/ -1 x) 4)) in x 0.778 * [taylor]: Taking taylor expansion of 1/12 in x 0.778 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 4) in x 0.778 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.778 * [taylor]: Taking taylor expansion of -1 in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of 2 in x 0.780 * [taylor]: Taking taylor expansion of (* 0.041666666666666664 (cos (/ -1 y))) in y 0.780 * [taylor]: Taking taylor expansion of 0.041666666666666664 in y 0.780 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.780 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.780 * [taylor]: Taking taylor expansion of -1 in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of 0 in y 0.790 * [taylor]: Taking taylor expansion of (* 0.5 (cos (/ -1 y))) in y 0.790 * [taylor]: Taking taylor expansion of 0.5 in y 0.790 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.790 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.790 * [taylor]: Taking taylor expansion of -1 in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.801 * * * [progress]: simplifying candidates 0.802 * [simplify]: Simplifying using # : (expm1 (fma 1/12 (pow x 4) 2)) (log1p (fma 1/12 (pow x 4) 2)) (* 1/12 (pow x 4)) (log (fma 1/12 (pow x 4) 2)) (exp (fma 1/12 (pow x 4) 2)) (* (cbrt (fma 1/12 (pow x 4) 2)) (cbrt (fma 1/12 (pow x 4) 2))) (cbrt (fma 1/12 (pow x 4) 2)) (* (* (fma 1/12 (pow x 4) 2) (fma 1/12 (pow x 4) 2)) (fma 1/12 (pow x 4) 2)) (sqrt (fma 1/12 (pow x 4) 2)) (sqrt (fma 1/12 (pow x 4) 2)) (expm1 (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (log1p (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y)) (+ (- (log (fma x x (fma 1/12 (pow x 4) 2))) (log 2.0)) (log (cos y))) (+ (log (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0)) (log (cos y))) (log (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (exp (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (* (/ (* (* (fma x x (fma 1/12 (pow x 4) 2)) (fma x x (fma 1/12 (pow x 4) 2))) (fma x x (fma 1/12 (pow x 4) 2))) (* (* 2.0 2.0) 2.0)) (* (* (cos y) (cos y)) (cos y))) (* (* (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0)) (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0)) (* (* (cos y) (cos y)) (cos y))) (* (cbrt (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (cbrt (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y)))) (cbrt (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (* (* (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y)) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (sqrt (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (sqrt (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (* (sqrt (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0)) (sqrt (cos y))) (* (sqrt (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0)) (sqrt (cos y))) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (* (cbrt (cos y)) (cbrt (cos y)))) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (sqrt (cos y))) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) 1) (* (cbrt (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0)) (cos y)) (* (sqrt (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0)) (cos y)) (* (/ (cbrt (fma x x (fma 1/12 (pow x 4) 2))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (fma x x (fma 1/12 (pow x 4) 2))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (fma x x (fma 1/12 (pow x 4) 2))) 2.0) (cos y)) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) (cbrt 2.0)) (cos y)) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) (sqrt 2.0)) (cos y)) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) 2.0) (cos y)) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) (cbrt 2.0)) (cos y)) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) (sqrt 2.0)) (cos y)) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y)) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y)) (* (/ 1 2.0) (cos y)) (* (fma x x (fma 1/12 (pow x 4) 2)) (cos y)) (+ (* 1/12 (pow x 4)) 2) (+ (* 1/12 (pow x 4)) 2) (+ (* 1/12 (pow x 4)) 2) (- (+ (* 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)))) 0.806 * * [simplify]: iteration 0 : 216 enodes (cost 359 ) 0.810 * * [simplify]: iteration 1 : 789 enodes (cost 312 ) 0.825 * * [simplify]: iteration 2 : 3853 enodes (cost 309 ) 0.906 * * [simplify]: iteration 3 : 5003 enodes (cost 308 ) 0.908 * [simplify]: Simplified to: (expm1 (fma 1/12 (pow x 4) 2)) (log1p (fma 1/12 (pow x 4) 2)) (* 1/12 (pow x 4)) (log (fma 1/12 (pow x 4) 2)) (exp (fma 1/12 (pow x 4) 2)) (* (cbrt (fma 1/12 (pow x 4) 2)) (cbrt (fma 1/12 (pow x 4) 2))) (cbrt (fma 1/12 (pow x 4) 2)) (pow (fma 1/12 (pow x 4) 2) 3) (sqrt (fma 1/12 (pow x 4) 2)) (sqrt (fma 1/12 (pow x 4) 2)) (expm1 (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (log1p (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y)) (log (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (log (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (log (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (exp (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (pow (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y)) 3) (pow (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y)) 3) (* (cbrt (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (cbrt (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y)))) (cbrt (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (pow (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y)) 3) (sqrt (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (sqrt (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y))) (* (sqrt (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0)) (sqrt (cos y))) (* (sqrt (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0)) (sqrt (cos y))) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) (sqrt 2.0)) (sqrt (cos y))) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (* (cbrt (cos y)) (cbrt (cos y)))) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (sqrt (cos y))) (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (* (cbrt (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0)) (cos y)) (* (sqrt (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0)) (cos y)) (* (/ (cbrt (fma x x (fma 1/12 (pow x 4) 2))) (cbrt 2.0)) (cos y)) (* (/ (cbrt (fma x x (fma 1/12 (pow x 4) 2))) (sqrt 2.0)) (cos y)) (* (/ (cbrt (fma x x (fma 1/12 (pow x 4) 2))) 2.0) (cos y)) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) (cbrt 2.0)) (cos y)) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) (sqrt 2.0)) (cos y)) (* (/ (sqrt (fma x x (fma 1/12 (pow x 4) 2))) 2.0) (cos y)) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) (cbrt 2.0)) (cos y)) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) (sqrt 2.0)) (cos y)) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y)) (* (/ (fma x x (fma 1/12 (pow x 4) 2)) 2.0) (cos y)) (/ (cos y) 2.0) (* (fma x x (fma 1/12 (pow x 4) 2)) (cos y)) (fma 1/12 (pow x 4) 2) (fma 1/12 (pow x 4) 2) (fma 1/12 (pow x 4) 2) (fma 0.5 (- (pow x 2) (pow y 2)) 1.0) (* (cos y) (fma 0.041666666666666664 (pow x 4) (* 0.5 (pow x 2)))) (* (cos y) (fma 0.041666666666666664 (pow x 4) (* 0.5 (pow x 2)))) 0.909 * * * [progress]: adding candidates to table 1.046 * * [progress]: iteration 3 / 4 1.046 * * * [progress]: picking best candidate 1.049 * * * * [pick]: Picked # 1.049 * * * [progress]: localizing error 1.064 * * * [progress]: generating rewritten candidates 1.064 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.120 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.148 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.154 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.165 * * * [progress]: generating series expansions 1.165 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.165 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in (x y) around 0 1.165 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in y 1.165 * [taylor]: Taking taylor expansion of 0.5 in y 1.165 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in y 1.165 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in y 1.165 * [taylor]: Taking taylor expansion of (exp x) in y 1.165 * [taylor]: Taking taylor expansion of x in y 1.165 * [taylor]: Taking taylor expansion of (exp (- x)) in y 1.165 * [taylor]: Taking taylor expansion of (- x) in y 1.165 * [taylor]: Taking taylor expansion of x in y 1.166 * [taylor]: Taking taylor expansion of (cos y) in y 1.166 * [taylor]: Taking taylor expansion of y in y 1.166 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 1.166 * [taylor]: Taking taylor expansion of 0.5 in x 1.166 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 1.166 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.166 * [taylor]: Taking taylor expansion of (exp x) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.166 * [taylor]: Taking taylor expansion of (- x) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of (cos y) in x 1.167 * [taylor]: Taking taylor expansion of y in x 1.167 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 1.167 * [taylor]: Taking taylor expansion of 0.5 in x 1.167 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 1.167 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.167 * [taylor]: Taking taylor expansion of (exp x) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.167 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.167 * [taylor]: Taking taylor expansion of (- x) in x 1.167 * [taylor]: Taking taylor expansion of x in x 1.167 * [taylor]: Taking taylor expansion of (cos y) in x 1.167 * [taylor]: Taking taylor expansion of y in x 1.168 * [taylor]: Taking taylor expansion of (* 1.0 (cos y)) in y 1.168 * [taylor]: Taking taylor expansion of 1.0 in y 1.168 * [taylor]: Taking taylor expansion of (cos y) in y 1.168 * [taylor]: Taking taylor expansion of y in y 1.172 * [taylor]: Taking taylor expansion of 0 in y 1.178 * [taylor]: Taking taylor expansion of (* 0.5 (cos y)) in y 1.178 * [taylor]: Taking taylor expansion of 0.5 in y 1.178 * [taylor]: Taking taylor expansion of (cos y) in y 1.178 * [taylor]: Taking taylor expansion of y in y 1.181 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x y) around 0 1.181 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 1.181 * [taylor]: Taking taylor expansion of 0.5 in y 1.181 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 1.181 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.181 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.181 * [taylor]: Taking taylor expansion of y in y 1.181 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 1.181 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.181 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.181 * [taylor]: Taking taylor expansion of x in y 1.181 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.181 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.181 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.181 * [taylor]: Taking taylor expansion of x in y 1.182 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.182 * [taylor]: Taking taylor expansion of 0.5 in x 1.182 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.182 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.182 * [taylor]: Taking taylor expansion of y in x 1.182 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.182 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.182 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.183 * [taylor]: Taking taylor expansion of 0.5 in x 1.183 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.183 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.183 * [taylor]: Taking taylor expansion of y in x 1.183 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.183 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.183 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (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)) (+ (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 (+ (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 1.188 * [taylor]: Taking taylor expansion of 0 in y 1.197 * [taylor]: Taking taylor expansion of 0 in y 1.205 * [taylor]: Taking taylor expansion of 0 in y 1.205 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x y) around 0 1.205 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 1.205 * [taylor]: Taking taylor expansion of 0.5 in y 1.205 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 1.205 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.205 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.205 * [taylor]: Taking taylor expansion of -1 in y 1.205 * [taylor]: Taking taylor expansion of y in y 1.206 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 1.206 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.206 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.206 * [taylor]: Taking taylor expansion of x in y 1.206 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.206 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.206 * [taylor]: Taking taylor expansion of -1 in y 1.206 * [taylor]: Taking taylor expansion of x in y 1.206 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.206 * [taylor]: Taking taylor expansion of 0.5 in x 1.206 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.206 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.206 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.206 * [taylor]: Taking taylor expansion of -1 in x 1.206 * [taylor]: Taking taylor expansion of y in x 1.206 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.206 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.207 * [taylor]: Taking taylor expansion of -1 in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.207 * [taylor]: Taking taylor expansion of 0.5 in x 1.207 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.207 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.207 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.207 * [taylor]: Taking taylor expansion of -1 in x 1.207 * [taylor]: Taking taylor expansion of y in x 1.207 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.207 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.207 * [taylor]: Taking taylor expansion of -1 in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 1.209 * [taylor]: Taking taylor expansion of 0.5 in y 1.209 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 1.209 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.209 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.209 * [taylor]: Taking taylor expansion of -1 in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.209 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 1.209 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.209 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.209 * [taylor]: Taking taylor expansion of x in y 1.209 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.209 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.209 * [taylor]: Taking taylor expansion of -1 in y 1.209 * [taylor]: Taking taylor expansion of x in y 1.212 * [taylor]: Taking taylor expansion of 0 in y 1.217 * [taylor]: Taking taylor expansion of 0 in y 1.224 * [taylor]: Taking taylor expansion of 0 in y 1.225 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.225 * [approximate]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp x) (exp (- x)))) (cos y))) in (x y) around 0 1.225 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp x) (exp (- x)))) (cos y))) in y 1.225 * [taylor]: Taking taylor expansion of 0.5 in y 1.225 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp x) (exp (- x)))) (cos y)) in y 1.225 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in y 1.225 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in y 1.225 * [taylor]: Taking taylor expansion of (exp x) in y 1.225 * [taylor]: Taking taylor expansion of x in y 1.225 * [taylor]: Taking taylor expansion of (exp (- x)) in y 1.225 * [taylor]: Taking taylor expansion of (- x) in y 1.225 * [taylor]: Taking taylor expansion of x in y 1.227 * [taylor]: Taking taylor expansion of (cos y) in y 1.227 * [taylor]: Taking taylor expansion of y in y 1.227 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp x) (exp (- x)))) (cos y))) in x 1.227 * [taylor]: Taking taylor expansion of 0.5 in x 1.227 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp x) (exp (- x)))) (cos y)) in x 1.227 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 1.227 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.227 * [taylor]: Taking taylor expansion of (exp x) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.227 * [taylor]: Taking taylor expansion of (- x) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.230 * [taylor]: Taking taylor expansion of (cos y) in x 1.230 * [taylor]: Taking taylor expansion of y in x 1.230 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (+ (exp x) (exp (- x)))) (cos y))) in x 1.230 * [taylor]: Taking taylor expansion of 0.5 in x 1.230 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp x) (exp (- x)))) (cos y)) in x 1.230 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 1.230 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.230 * [taylor]: Taking taylor expansion of (exp x) in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.230 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.230 * [taylor]: Taking taylor expansion of (- x) in x 1.230 * [taylor]: Taking taylor expansion of x in x 1.233 * [taylor]: Taking taylor expansion of (cos y) in x 1.233 * [taylor]: Taking taylor expansion of y in x 1.234 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt 2) (cos y))) in y 1.234 * [taylor]: Taking taylor expansion of 0.5 in y 1.234 * [taylor]: Taking taylor expansion of (* (sqrt 2) (cos y)) in y 1.234 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.234 * [taylor]: Taking taylor expansion of 2 in y 1.235 * [taylor]: Taking taylor expansion of (cos y) in y 1.235 * [taylor]: Taking taylor expansion of y in y 1.239 * [taylor]: Taking taylor expansion of 0 in y 1.248 * [taylor]: Taking taylor expansion of (* 0.25 (/ (cos y) (sqrt 2))) in y 1.248 * [taylor]: Taking taylor expansion of 0.25 in y 1.248 * [taylor]: Taking taylor expansion of (/ (cos y) (sqrt 2)) in y 1.248 * [taylor]: Taking taylor expansion of (cos y) in y 1.248 * [taylor]: Taking taylor expansion of y in y 1.248 * [taylor]: Taking taylor expansion of (sqrt 2) in y 1.248 * [taylor]: Taking taylor expansion of 2 in y 1.260 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in (x y) around 0 1.260 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in y 1.260 * [taylor]: Taking taylor expansion of 0.5 in y 1.260 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 1.260 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.260 * [taylor]: Taking taylor expansion of y in y 1.260 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 1.260 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 1.260 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.260 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.260 * [taylor]: Taking taylor expansion of x in y 1.261 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.261 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.261 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.261 * [taylor]: Taking taylor expansion of x in y 1.263 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.263 * [taylor]: Taking taylor expansion of 0.5 in x 1.263 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.263 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.263 * [taylor]: Taking taylor expansion of y in x 1.263 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.263 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.263 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.263 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.263 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in x 1.264 * [taylor]: Taking taylor expansion of 0.5 in x 1.264 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 1.264 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.264 * [taylor]: Taking taylor expansion of y in x 1.264 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 1.264 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.264 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.265 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))))) in y 1.267 * [taylor]: Taking taylor expansion of 0.5 in y 1.267 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 1.267 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 1.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.267 * [taylor]: Taking taylor expansion of y in y 1.267 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 1.267 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 1.267 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.267 * [taylor]: Taking taylor expansion of x in y 1.267 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 1.267 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 1.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.267 * [taylor]: Taking taylor expansion of x in y 1.272 * [taylor]: Taking taylor expansion of 0 in y 1.276 * [taylor]: Taking taylor expansion of 0 in y 1.290 * [taylor]: Taking taylor expansion of 0 in y 1.290 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in (x y) around 0 1.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in y 1.290 * [taylor]: Taking taylor expansion of 0.5 in y 1.290 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 1.290 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.290 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.290 * [taylor]: Taking taylor expansion of -1 in y 1.290 * [taylor]: Taking taylor expansion of y in y 1.291 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 1.291 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 1.291 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.291 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.291 * [taylor]: Taking taylor expansion of x in y 1.291 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.291 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.291 * [taylor]: Taking taylor expansion of -1 in y 1.291 * [taylor]: Taking taylor expansion of x in y 1.292 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.292 * [taylor]: Taking taylor expansion of 0.5 in x 1.292 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.292 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.292 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.293 * [taylor]: Taking taylor expansion of -1 in x 1.293 * [taylor]: Taking taylor expansion of y in x 1.293 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.293 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.293 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.293 * [taylor]: Taking taylor expansion of -1 in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in x 1.294 * [taylor]: Taking taylor expansion of 0.5 in x 1.294 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 1.294 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 1.294 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.294 * [taylor]: Taking taylor expansion of -1 in x 1.294 * [taylor]: Taking taylor expansion of y in x 1.294 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 1.294 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.294 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.294 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.294 * [taylor]: Taking taylor expansion of -1 in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))))) in y 1.296 * [taylor]: Taking taylor expansion of 0.5 in y 1.296 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 1.296 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 1.296 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.296 * [taylor]: Taking taylor expansion of -1 in y 1.296 * [taylor]: Taking taylor expansion of y in y 1.296 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 1.296 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 1.296 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 1.296 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.296 * [taylor]: Taking taylor expansion of x in y 1.296 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 1.296 * [taylor]: Taking taylor expansion of (/ -1 x) in y 1.296 * [taylor]: Taking taylor expansion of -1 in y 1.296 * [taylor]: Taking taylor expansion of x in y 1.301 * [taylor]: Taking taylor expansion of 0 in y 1.305 * [taylor]: Taking taylor expansion of 0 in y 1.314 * [taylor]: Taking taylor expansion of 0 in y 1.314 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.314 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 1.314 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.314 * [taylor]: Taking taylor expansion of (exp x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.314 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.314 * [taylor]: Taking taylor expansion of (- x) in x 1.314 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.315 * [taylor]: Taking taylor expansion of (exp x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.315 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.315 * [taylor]: Taking taylor expansion of (- x) in x 1.315 * [taylor]: Taking taylor expansion of x in x 1.329 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.329 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.329 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.329 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.330 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.330 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.333 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 1.333 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.333 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.333 * [taylor]: Taking taylor expansion of -1 in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.333 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.334 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.334 * [taylor]: Taking taylor expansion of -1 in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.336 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.336 * [approximate]: Taking taylor expansion of (+ (exp x) (exp (- x))) in (x) around 0 1.336 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.336 * [taylor]: Taking taylor expansion of (exp x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.336 * [taylor]: Taking taylor expansion of (- x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 1.336 * [taylor]: Taking taylor expansion of (exp x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (exp (- x)) in x 1.336 * [taylor]: Taking taylor expansion of (- x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.350 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in (x) around 0 1.351 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.351 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.351 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 1.351 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.352 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 1.352 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.354 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in (x) around 0 1.354 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.354 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.355 * [taylor]: Taking taylor expansion of -1 in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 1.355 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 1.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.355 * [taylor]: Taking taylor expansion of -1 in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.357 * * * [progress]: simplifying candidates 1.361 * [simplify]: Simplifying using # : (expm1 (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))) (log1p (* (/ (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))) (+ (- (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 (- 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x))) (+ (exp 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)))) (fma 0.25 (- (/ (pow x 2) (sqrt 2)) (* (sqrt 2) (pow y 2))) (* 0.5 (sqrt 2))) (* 0.5 (* (cos y) (sqrt (+ (exp (* -1 x)) (exp x))))) (* 0.5 (* (cos y) (sqrt (+ (exp (* -1 x)) (exp x))))) (fma x x (fma 1/12 (pow x 4) 2)) (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))) (fma x x (fma 1/12 (pow x 4) 2)) (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x))) 1.429 * * * [progress]: adding candidates to table 1.812 * [progress]: [Phase 3 of 3] Extracting. 1.812 * * [regime]: Finding splitpoints for: (# #) 1.813 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.813 * * * * [regimes]: Trying to branch on y from (# #) 1.829 * * * * [regimes]: Trying to branch on x from (# #) 1.841 * * * [regime]: Found split indices: #