13.964 * [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 0.007 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.010 * * * * [points]: Setting MPFR precision to 64 0.010 * * * * [points]: Setting MPFR precision to 320 0.011 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.013 * * * * [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 0.021 * * * * [points]: Setting MPFR precision to 320 0.024 * * * * [points]: Computing exacts for 256 points 0.026 * * * * [points]: Setting MPFR precision to 64 0.037 * * * * [points]: Setting MPFR precision to 320 0.046 * * * * [points]: Filtering points with unrepresentable outputs 0.047 * * * * [points]: Sampling 131 additional inputs, on iter 1 have 125 / 256 0.048 * * * * [points]: Computing exacts on every 8 of 131 points to ramp up precision 0.050 * * * * [points]: Setting MPFR precision to 64 0.051 * * * * [points]: Setting MPFR precision to 320 0.052 * * * * [points]: Computing exacts on every 4 of 131 points to ramp up precision 0.054 * * * * [points]: Setting MPFR precision to 64 0.054 * * * * [points]: Setting MPFR precision to 320 0.055 * * * * [points]: Computing exacts on every 2 of 131 points to ramp up precision 0.057 * * * * [points]: Setting MPFR precision to 64 0.059 * * * * [points]: Setting MPFR precision to 320 0.060 * * * * [points]: Computing exacts for 131 points 0.062 * * * * [points]: Setting MPFR precision to 64 0.066 * * * * [points]: Setting MPFR precision to 320 0.071 * * * * [points]: Filtering points with unrepresentable outputs 0.071 * * * * [points]: Sampling 69 additional inputs, on iter 2 have 187 / 256 0.072 * * * * [points]: Computing exacts on every 4 of 69 points to ramp up precision 0.074 * * * * [points]: Setting MPFR precision to 64 0.075 * * * * [points]: Setting MPFR precision to 320 0.075 * * * * [points]: Computing exacts on every 2 of 69 points to ramp up precision 0.077 * * * * [points]: Setting MPFR precision to 64 0.078 * * * * [points]: Setting MPFR precision to 320 0.079 * * * * [points]: Computing exacts for 69 points 0.081 * * * * [points]: Setting MPFR precision to 64 0.083 * * * * [points]: Setting MPFR precision to 320 0.086 * * * * [points]: Filtering points with unrepresentable outputs 0.086 * * * * [points]: Sampling 30 additional inputs, on iter 3 have 226 / 256 0.086 * * * * [points]: Computing exacts for 30 points 0.088 * * * * [points]: Setting MPFR precision to 64 0.089 * * * * [points]: Setting MPFR precision to 320 0.090 * * * * [points]: Filtering points with unrepresentable outputs 0.090 * * * * [points]: Sampling 15 additional inputs, on iter 4 have 241 / 256 0.090 * * * * [points]: Computing exacts for 15 points 0.093 * * * * [points]: Setting MPFR precision to 64 0.093 * * * * [points]: Setting MPFR precision to 320 0.094 * * * * [points]: Filtering points with unrepresentable outputs 0.094 * * * * [points]: Sampling 10 additional inputs, on iter 5 have 246 / 256 0.094 * * * * [points]: Computing exacts for 10 points 0.096 * * * * [points]: Setting MPFR precision to 64 0.096 * * * * [points]: Setting MPFR precision to 320 0.097 * * * * [points]: Filtering points with unrepresentable outputs 0.097 * * * * [points]: Sampling 4 additional inputs, on iter 6 have 253 / 256 0.097 * * * * [points]: Computing exacts for 4 points 0.099 * * * * [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 4 additional inputs, on iter 7 have 255 / 256 0.099 * * * * [points]: Computing exacts for 4 points 0.101 * * * * [points]: Setting MPFR precision to 64 0.102 * * * * [points]: Setting MPFR precision to 320 0.102 * * * * [points]: Filtering points with unrepresentable outputs 0.102 * * * * [points]: Sampled 259 points with exact outputs 0.102 * * * [progress]: [2/2] Setting up program. 0.105 * [progress]: [Phase 2 of 3] Improving. 0.105 * [simplify]: Simplifying using # : (re (complex (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (- (exp x) (exp (- x))) 2.0) (sin y)))) 0.107 * * [simplify]: iteration 0 : 30 enodes (cost 7 ) 0.109 * * [simplify]: iteration 1 : 47 enodes (cost 7 ) 0.110 * * [simplify]: iteration 2 : 84 enodes (cost 7 ) 0.112 * * [simplify]: iteration 3 : 131 enodes (cost 7 ) 0.114 * * [simplify]: iteration 4 : 223 enodes (cost 7 ) 0.117 * * [simplify]: iteration 5 : 466 enodes (cost 7 ) 0.123 * * [simplify]: iteration 6 : 1123 enodes (cost 7 ) 0.135 * * [simplify]: iteration 7 : 2244 enodes (cost 7 ) 0.163 * * [simplify]: iteration 8 : 5002 enodes (cost 7 ) 0.163 * [simplify]: Simplified to: (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 0.166 * * [progress]: iteration 1 / 4 0.166 * * * [progress]: picking best candidate 0.168 * * * * [pick]: Picked # 0.168 * * * [progress]: localizing error 0.185 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.212 * * * [progress]: generating series expansions 0.212 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.213 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in y 0.213 * [taylor]: Taking taylor expansion of 0.5 in y 0.213 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in y 0.213 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in y 0.213 * [taylor]: Taking taylor expansion of (exp x) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (exp (- x)) in y 0.213 * [taylor]: Taking taylor expansion of (- x) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (cos y) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 0.213 * [taylor]: Taking taylor expansion of 0.5 in x 0.213 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 0.213 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.213 * [taylor]: Taking taylor expansion of (exp x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.213 * [taylor]: Taking taylor expansion of (- x) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (cos y) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp x) (exp (- x))) (cos y))) in x 0.214 * [taylor]: Taking taylor expansion of 0.5 in x 0.214 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (cos y)) in x 0.214 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.214 * [taylor]: Taking taylor expansion of (exp x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.214 * [taylor]: Taking taylor expansion of (- x) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (cos y) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (* 1.0 (cos y)) in y 0.216 * [taylor]: Taking taylor expansion of 1.0 in y 0.216 * [taylor]: Taking taylor expansion of (cos y) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of (* 0.5 (cos y)) in y 0.227 * [taylor]: Taking taylor expansion of 0.5 in y 0.227 * [taylor]: Taking taylor expansion of (cos y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.230 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 0.230 * [taylor]: Taking taylor expansion of 0.5 in y 0.230 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 0.230 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 0.230 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 0.230 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.230 * [taylor]: Taking taylor expansion of 0.5 in x 0.230 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.230 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.231 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in x 0.232 * [taylor]: Taking taylor expansion of 0.5 in x 0.232 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.232 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.232 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.232 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x)))))) in y 0.234 * [taylor]: Taking taylor expansion of 0.5 in y 0.234 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in y 0.234 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 0.234 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.251 * [taylor]: Taking taylor expansion of 0.5 in y 0.251 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.251 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.251 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.251 * [taylor]: Taking taylor expansion of -1 in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 0.251 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.251 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.251 * [taylor]: Taking taylor expansion of -1 in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.251 * [taylor]: Taking taylor expansion of 0.5 in x 0.251 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.251 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.251 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.251 * [taylor]: Taking taylor expansion of -1 in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.252 * [taylor]: Taking taylor expansion of -1 in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.252 * [taylor]: Taking taylor expansion of 0.5 in x 0.252 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.252 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.252 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.252 * [taylor]: Taking taylor expansion of -1 in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.252 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.253 * [taylor]: Taking taylor expansion of -1 in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.254 * [taylor]: Taking taylor expansion of 0.5 in y 0.254 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.254 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.254 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.254 * [taylor]: Taking taylor expansion of -1 in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 0.254 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.254 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.254 * [taylor]: Taking taylor expansion of -1 in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * * * [progress]: simplifying candidates 0.275 * [simplify]: Simplifying using # : (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)) (- (+ (* 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)))) 0.279 * * [simplify]: iteration 0 : 220 enodes (cost 377 ) 0.283 * * [simplify]: iteration 1 : 838 enodes (cost 331 ) 0.297 * * [simplify]: iteration 2 : 3552 enodes (cost 330 ) 0.364 * * [simplify]: iteration 3 : 5001 enodes (cost 329 ) 0.366 * [simplify]: Simplified to: (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)) (/ (cos y) 2.0) (* (cos y) (+ (exp (* -1 x)) (exp x))) (fma 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)))) 0.366 * * * [progress]: adding candidates to table 0.456 * * [progress]: iteration 2 / 4 0.456 * * * [progress]: picking best candidate 0.461 * * * * [pick]: Picked # 0.461 * * * [progress]: localizing error 0.474 * * * [progress]: generating rewritten candidates 0.474 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.528 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.539 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.555 * * * [progress]: generating series expansions 0.555 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.556 * [approximate]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (* (cos y) (pow (sqrt 0.5) 2))) in (x y) around 0 0.556 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (* (cos y) (pow (sqrt 0.5) 2))) in y 0.556 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in y 0.556 * [taylor]: Taking taylor expansion of (exp x) in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.556 * [taylor]: Taking taylor expansion of (exp (- x)) in y 0.556 * [taylor]: Taking taylor expansion of (- x) in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.556 * [taylor]: Taking taylor expansion of (* (cos y) (pow (sqrt 0.5) 2)) in y 0.556 * [taylor]: Taking taylor expansion of (cos y) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.556 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.556 * [taylor]: Taking taylor expansion of 0.5 in y 0.557 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (* (cos y) (pow (sqrt 0.5) 2))) in x 0.557 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.557 * [taylor]: Taking taylor expansion of (exp x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.557 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.557 * [taylor]: Taking taylor expansion of (- x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (* (cos y) (pow (sqrt 0.5) 2)) in x 0.558 * [taylor]: Taking taylor expansion of (cos y) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.558 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.558 * [taylor]: Taking taylor expansion of 0.5 in x 0.559 * [taylor]: Taking taylor expansion of (* (+ (exp x) (exp (- x))) (* (cos y) (pow (sqrt 0.5) 2))) in x 0.559 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.559 * [taylor]: Taking taylor expansion of (exp x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.559 * [taylor]: Taking taylor expansion of (- x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (* (cos y) (pow (sqrt 0.5) 2)) in x 0.559 * [taylor]: Taking taylor expansion of (cos y) in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.559 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.559 * [taylor]: Taking taylor expansion of 0.5 in x 0.563 * [taylor]: Taking taylor expansion of (* 2 (* (cos y) (pow (sqrt 0.5) 2))) in y 0.563 * [taylor]: Taking taylor expansion of 2 in y 0.563 * [taylor]: Taking taylor expansion of (* (cos y) (pow (sqrt 0.5) 2)) in y 0.563 * [taylor]: Taking taylor expansion of (cos y) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.563 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.563 * [taylor]: Taking taylor expansion of 0.5 in y 0.572 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [taylor]: Taking taylor expansion of (* (cos y) (pow (sqrt 0.5) 2)) in y 0.581 * [taylor]: Taking taylor expansion of (cos y) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.581 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.581 * [taylor]: Taking taylor expansion of 0.5 in y 0.597 * [approximate]: Taking taylor expansion of (* (cos (/ 1 y)) (* (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) (pow (sqrt 0.5) 2))) in (x y) around 0 0.597 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (* (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) (pow (sqrt 0.5) 2))) in y 0.597 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of (* (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) (pow (sqrt 0.5) 2)) in y 0.598 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 0.598 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.598 * [taylor]: Taking taylor expansion of x in y 0.598 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 0.598 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.598 * [taylor]: Taking taylor expansion of x in y 0.598 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.598 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.598 * [taylor]: Taking taylor expansion of 0.5 in y 0.599 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (* (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) (pow (sqrt 0.5) 2))) in x 0.599 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of (* (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) (pow (sqrt 0.5) 2)) in x 0.599 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.599 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.599 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.600 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.600 * [taylor]: Taking taylor expansion of 0.5 in x 0.601 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (* (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) (pow (sqrt 0.5) 2))) in x 0.601 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.601 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of (* (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) (pow (sqrt 0.5) 2)) in x 0.601 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.601 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.601 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.602 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.602 * [taylor]: Taking taylor expansion of 0.5 in x 0.605 * [taylor]: Taking taylor expansion of (* (cos (/ 1 y)) (* (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) (pow (sqrt 0.5) 2))) in y 0.605 * [taylor]: Taking taylor expansion of (cos (/ 1 y)) in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.605 * [taylor]: Taking taylor expansion of (* (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) (pow (sqrt 0.5) 2)) in y 0.605 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in y 0.605 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.605 * [taylor]: Taking taylor expansion of x in y 0.605 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in y 0.605 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.606 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.606 * [taylor]: Taking taylor expansion of 0.5 in y 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.638 * [taylor]: Taking taylor expansion of 0 in y 0.640 * [approximate]: Taking taylor expansion of (* (cos (/ -1 y)) (* (pow (sqrt 0.5) 2) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x y) around 0 0.640 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (* (pow (sqrt 0.5) 2) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.640 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.640 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.640 * [taylor]: Taking taylor expansion of -1 in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.640 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.640 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.640 * [taylor]: Taking taylor expansion of 0.5 in y 0.641 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 0.641 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.641 * [taylor]: Taking taylor expansion of x in y 0.641 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.641 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.641 * [taylor]: Taking taylor expansion of -1 in y 0.641 * [taylor]: Taking taylor expansion of x in y 0.641 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (* (pow (sqrt 0.5) 2) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.641 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.641 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.641 * [taylor]: Taking taylor expansion of -1 in x 0.641 * [taylor]: Taking taylor expansion of y in x 0.641 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.641 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.641 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.641 * [taylor]: Taking taylor expansion of 0.5 in x 0.642 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.642 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.642 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.642 * [taylor]: Taking taylor expansion of -1 in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (* (pow (sqrt 0.5) 2) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.643 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in x 0.643 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.643 * [taylor]: Taking taylor expansion of -1 in x 0.643 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.643 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.643 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.643 * [taylor]: Taking taylor expansion of 0.5 in x 0.643 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.643 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.644 * [taylor]: Taking taylor expansion of -1 in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (* (cos (/ -1 y)) (* (pow (sqrt 0.5) 2) (+ (exp (/ 1 x)) (exp (/ -1 x))))) in y 0.647 * [taylor]: Taking taylor expansion of (cos (/ -1 y)) in y 0.647 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.647 * [taylor]: Taking taylor expansion of -1 in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 2) (+ (exp (/ 1 x)) (exp (/ -1 x)))) in y 0.647 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.647 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.647 * [taylor]: Taking taylor expansion of 0.5 in y 0.648 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in y 0.648 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in y 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in y 0.648 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.648 * [taylor]: Taking taylor expansion of -1 in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.675 * [taylor]: Taking taylor expansion of 0 in y 0.676 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.676 * [approximate]: Taking taylor expansion of (* (sqrt (+ (exp x) (exp (- x)))) (sqrt 0.5)) in (x) around 0 0.676 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp x) (exp (- x)))) (sqrt 0.5)) in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 0.676 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.676 * [taylor]: Taking taylor expansion of (exp x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.676 * [taylor]: Taking taylor expansion of (- x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.679 * [taylor]: Taking taylor expansion of 0.5 in x 0.680 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp x) (exp (- x)))) (sqrt 0.5)) in x 0.680 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 0.680 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.680 * [taylor]: Taking taylor expansion of (exp x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.680 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.680 * [taylor]: Taking taylor expansion of (- x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.683 * [taylor]: Taking taylor expansion of 0.5 in x 0.739 * [approximate]: Taking taylor expansion of (* (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (sqrt 0.5)) in (x) around 0 0.739 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (sqrt 0.5)) in x 0.739 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.739 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.739 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.740 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.741 * [taylor]: Taking taylor expansion of 0.5 in x 0.741 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (sqrt 0.5)) in x 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.742 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.742 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.742 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.743 * [taylor]: Taking taylor expansion of 0.5 in x 0.756 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x) around 0 0.756 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.756 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.756 * [taylor]: Taking taylor expansion of 0.5 in x 0.757 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.757 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.757 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.757 * [taylor]: Taking taylor expansion of -1 in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.758 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.758 * [taylor]: Taking taylor expansion of 0.5 in x 0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.759 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.759 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.759 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.759 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.759 * [taylor]: Taking taylor expansion of -1 in x 0.759 * [taylor]: Taking taylor expansion of x in x 0.774 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.774 * [approximate]: Taking taylor expansion of (* (sqrt (+ (exp x) (exp (- x)))) (sqrt 0.5)) in (x) around 0 0.774 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp x) (exp (- x)))) (sqrt 0.5)) in x 0.774 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 0.774 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.774 * [taylor]: Taking taylor expansion of (exp x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.774 * [taylor]: Taking taylor expansion of (- x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.777 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.777 * [taylor]: Taking taylor expansion of 0.5 in x 0.778 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp x) (exp (- x)))) (sqrt 0.5)) in x 0.778 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) (exp (- x)))) in x 0.778 * [taylor]: Taking taylor expansion of (+ (exp x) (exp (- x))) in x 0.778 * [taylor]: Taking taylor expansion of (exp x) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of (exp (- x)) in x 0.778 * [taylor]: Taking taylor expansion of (- x) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.781 * [taylor]: Taking taylor expansion of 0.5 in x 0.837 * [approximate]: Taking taylor expansion of (* (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (sqrt 0.5)) in (x) around 0 0.837 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (sqrt 0.5)) in x 0.837 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.837 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.837 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.838 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.838 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.839 * [taylor]: Taking taylor expansion of 0.5 in x 0.839 * [taylor]: Taking taylor expansion of (* (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) (sqrt 0.5)) in x 0.839 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (- (/ 1 x))))) in x 0.839 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (- (/ 1 x)))) in x 0.839 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (exp (- (/ 1 x))) in x 0.840 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.841 * [taylor]: Taking taylor expansion of 0.5 in x 0.853 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in (x) around 0 0.854 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.854 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.854 * [taylor]: Taking taylor expansion of 0.5 in x 0.854 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.854 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.854 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.855 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.855 * [taylor]: Taking taylor expansion of -1 in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x))))) in x 0.855 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.855 * [taylor]: Taking taylor expansion of 0.5 in x 0.856 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) (exp (/ -1 x)))) in x 0.856 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) (exp (/ -1 x))) in x 0.856 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 0.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.857 * [taylor]: Taking taylor expansion of -1 in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.872 * * * [progress]: simplifying candidates 0.873 * [simplify]: Simplifying using # : (expm1 (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))) (log1p (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))) (+ (log (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (+ (log (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (log (cos y)))) (+ (log (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (log (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))) (log (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))) (exp (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))) (* (* (* (sqrt (/ (+ (exp x) (exp (- x))) 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(exp (- x))) (cbrt 2.0))) (sqrt (/ 1 (sqrt 2.0))) (sqrt (/ (+ (exp x) (exp (- x))) (sqrt 2.0))) 1 (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (sqrt (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (/ (+ (exp x) (exp (- x))) (cbrt 2.0))) (sqrt (/ 1 (sqrt 2.0))) (sqrt (/ (+ (exp x) (exp (- x))) (sqrt 2.0))) 1 (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) 1 (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (sqrt (+ (exp x) (exp (- x)))) (sqrt (/ 1 2.0)) (sqrt (+ (exp x) (exp (- x)))) (sqrt 2.0) 1/2 (sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0))) (* 0.5 (- (+ 2 (pow x 2)) (pow y 2))) (* (* (+ (exp (* -1 x)) (exp x)) (cos y)) 0.5) (* (* (+ (exp (* -1 x)) (exp x)) (cos y)) 0.5) (fma (/ (* (pow x 4) (sqrt 0.5)) (sqrt 2)) -1/48 (fma 1/2 (/ (* (pow x 2) (sqrt 0.5)) (sqrt 2)) (* (sqrt 2) (sqrt 0.5)))) (* (sqrt 0.5) (sqrt (+ (exp (* -1 x)) (exp x)))) (* (sqrt 0.5) (sqrt (+ (exp (* -1 x)) (exp x)))) (fma (/ (* (pow x 4) (sqrt 0.5)) (sqrt 2)) -1/48 (fma 1/2 (/ (* (pow x 2) (sqrt 0.5)) (sqrt 2)) (* (sqrt 2) (sqrt 0.5)))) (* (sqrt 0.5) (sqrt (+ (exp (* -1 x)) (exp x)))) (* (sqrt 0.5) (sqrt (+ (exp (* -1 x)) (exp x)))) 1.014 * * * [progress]: adding candidates to table 1.326 * [progress]: [Phase 3 of 3] Extracting. 1.326 * * [regime]: Finding splitpoints for: (# #) 1.326 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.326 * * * * [regimes]: Trying to branch on y from (# #) 1.339 * * * * [regimes]: Trying to branch on x from (# #) 1.350 * * * [regime]: Found split indices: #