22.060 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.072 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.078 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.078 * * * * [points]: Setting MPFR precision to 64 0.078 * * * * [points]: Setting MPFR precision to 320 0.078 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.078 * * * * [points]: Setting MPFR precision to 64 0.079 * * * * [points]: Setting MPFR precision to 320 0.079 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.079 * * * * [points]: Setting MPFR precision to 64 0.080 * * * * [points]: Setting MPFR precision to 320 0.080 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.080 * * * * [points]: Setting MPFR precision to 64 0.081 * * * * [points]: Setting MPFR precision to 320 0.082 * * * * [points]: Computing exacts for 256 points 0.082 * * * * [points]: Setting MPFR precision to 64 0.085 * * * * [points]: Setting MPFR precision to 320 0.088 * * * * [points]: Filtering points with unrepresentable outputs 0.088 * * * * [points]: Sampling 6 additional inputs, on iter 1 have 250 / 256 0.088 * * * * [points]: Computing exacts for 6 points 0.088 * * * * [points]: Setting MPFR precision to 64 0.088 * * * * [points]: Setting MPFR precision to 320 0.089 * * * * [points]: Filtering points with unrepresentable outputs 0.089 * * * * [points]: Sampled 256 points with exact outputs 0.094 * * * [progress]: [2/2] Setting up program. 0.096 * [progress]: [Phase 2 of 3] Improving. 0.096 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.099 * * [simplify]: iteration 0 : 18 enodes (cost 7 ) 0.099 * * [simplify]: iteration 1 : 18 enodes (cost 7 ) 0.099 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.099 * * [progress]: iteration 1 / 4 0.099 * * * [progress]: picking best candidate 0.101 * * * * [pick]: Picked # 0.101 * * * [progress]: localizing error 0.106 * * * [progress]: generating rewritten candidates 0.106 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.111 * * * [progress]: generating series expansions 0.111 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.111 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of 1.0 in y 0.111 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of 1.0 in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of 1.0 in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of 1.0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.117 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.117 * [taylor]: Taking taylor expansion of -1 in y 0.117 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of 1.0 in y 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.117 * [taylor]: Taking taylor expansion of -1 in x 0.117 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.117 * [taylor]: Taking taylor expansion of -1 in x 0.117 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.118 * [taylor]: Taking taylor expansion of -1 in y 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of 1.0 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.121 * * * [progress]: simplifying candidates 0.121 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.169 * * [simplify]: iteration 0 : 4909 enodes (cost 206 ) 0.169 * * [simplify]: iteration 1 : 4909 enodes (cost 206 ) 0.170 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (+ 1.0 (* y y)) (cbrt x)) (* (+ 1.0 (* y y)) (sqrt x)) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (pow y 4))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.170 * * * [progress]: adding candidates to table 0.202 * * [progress]: iteration 2 / 4 0.202 * * * [progress]: picking best candidate 0.214 * * * * [pick]: Picked # 0.214 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.225 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.230 * * * [progress]: generating series expansions 0.230 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.230 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.230 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.231 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.231 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.231 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.231 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.234 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.234 * [taylor]: Taking taylor expansion of -1 in y 0.234 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.234 * [taylor]: Taking taylor expansion of -1 in x 0.234 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.234 * [taylor]: Taking taylor expansion of -1 in x 0.234 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.234 * [taylor]: Taking taylor expansion of -1 in y 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.236 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.236 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.236 * [taylor]: Taking taylor expansion of 1.0 in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.237 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.237 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.237 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of 1.0 in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.238 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.238 * [taylor]: Taking taylor expansion of 1.0 in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.238 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of 1.0 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 (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.238 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of 1.0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.242 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.242 * [taylor]: Taking taylor expansion of 1.0 in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.242 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.242 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 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 (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.242 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) 1.0)) in y 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of 1.0 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.246 * * * [progress]: simplifying candidates 0.247 * [simplify]: Simplifying using # : (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (* (exp (* x 1.0)) (exp (* x (* y y)))) (log (+ (* x 1.0) (* x (* y y)))) (exp (+ (* x 1.0) (* x (* y y)))) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (* (* (+ (* x 1.0) (* x (* y y))) (+ (* x 1.0) (* x (* y y)))) (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (+ (pow (* x 1.0) 3) (pow (* x (* y y)) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* x (* y y)) (* x (* y y))) (* (* x 1.0) (* x (* y y))))) (- (* (* x 1.0) (* x 1.0)) (* (* x (* y y)) (* x (* y y)))) (- (* x 1.0) (* x (* y y))) (+ 1.0 (* y y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.280 * * [simplify]: iteration 0 : 5399 enodes (cost 271 ) 0.281 * [simplify]: Simplified to: (* x (* y y)) (* x (* y y)) (log (* x (* y y))) (log (* x (* y y))) (log (* x (* y y))) (pow (exp x) (* y y)) (* (pow x 3) (pow y 6)) (* (pow x 3) (pow y 6)) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (pow x 3) (pow y 6)) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* y (sqrt x)) (* y (sqrt x)) (* x y) (* y (* y (cbrt x))) (* y (* y (sqrt x))) (* x (* y y)) (pow (exp x) (+ (* y y) 1.0)) (log (* x (+ (* y y) 1.0))) (pow (exp x) (+ (* y y) 1.0)) (* (cbrt (* x (+ (* y y) 1.0))) (cbrt (* x (+ (* y y) 1.0)))) (cbrt (* x (+ (* y y) 1.0))) (pow (* x (+ (* y y) 1.0)) 3) (sqrt (* x (+ (* y y) 1.0))) (sqrt (* x (+ (* y y) 1.0))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (* x (+ (* x (pow y 4)) (* 1.0 (* x (- 1.0 (* y y)))))) (* x (* x (- (* 1.0 1.0) (pow y 4)))) (* x (- 1.0 (* y y))) (+ (* y y) 1.0) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x 1.0) (* x (+ (* y y) 1.0)) (* x (+ (* y y) 1.0)) 0.282 * * * [progress]: adding candidates to table 0.316 * * [progress]: iteration 3 / 4 0.316 * * * [progress]: picking best candidate 0.323 * * * * [pick]: Picked # 0.323 * * * [progress]: localizing error 0.329 * * * [progress]: generating rewritten candidates 0.329 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.333 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.338 * * * [progress]: generating series expansions 0.338 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.338 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.338 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.338 * [taylor]: Taking taylor expansion of x in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.338 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.339 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.339 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.339 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.339 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.341 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.341 * [taylor]: Taking taylor expansion of -1 in y 0.341 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.342 * [taylor]: Taking taylor expansion of -1 in x 0.342 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.342 * [taylor]: Taking taylor expansion of -1 in x 0.342 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of -1 in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.344 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.344 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.344 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.344 * [taylor]: Taking taylor expansion of 1.0 in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.344 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.344 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.345 * [taylor]: Taking taylor expansion of 1.0 in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of 1.0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.345 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.346 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.346 * [taylor]: Taking taylor expansion of 1.0 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.346 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.346 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of 1.0 in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of 1.0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.350 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.350 * [taylor]: Taking taylor expansion of 1.0 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.350 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.350 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.350 * [taylor]: Taking taylor expansion of 1.0 in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.350 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.351 * [taylor]: Taking taylor expansion of 1.0 in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (pow y 2)) 1.0)) in y 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 1.0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.354 * * * [progress]: simplifying candidates 0.354 * [simplify]: Simplifying using # : (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* (exp (* x 1.0)) (exp (* (* x y) y))) (log (+ (* x 1.0) (* (* x y) y))) (exp (+ (* x 1.0) (* (* x y) y))) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (* (* (+ (* x 1.0) (* (* x y) y)) (+ (* x 1.0) (* (* x y) y))) (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (+ (pow (* x 1.0) 3) (pow (* (* x y) y) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* (* x y) y) (* (* x y) y)) (* (* x 1.0) (* (* x y) y)))) (- (* (* x 1.0) (* x 1.0)) (* (* (* x y) y) (* (* x y) y))) (- (* x 1.0) (* (* x y) y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.382 * * [simplify]: iteration 0 : 5034 enodes (cost 256 ) 0.383 * [simplify]: Simplified to: (* x (* y y)) (* x (* y y)) (log (* x (* y y))) (log (* x (* y y))) (log (* x (* y y))) (pow (pow (exp x) y) y) (* (pow x 3) (pow y 6)) (* (pow x 3) (pow y 6)) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (pow x 3) (pow y 6)) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* x (* y (* (cbrt y) (cbrt y)))) (* x (pow y 3/2)) (* x y) (* y y) (pow (exp x) (+ (* y y) 1.0)) (log (* x (+ (* y y) 1.0))) (pow (exp x) (+ (* y y) 1.0)) (* (cbrt (* x (+ (* y y) 1.0))) (cbrt (* x (+ (* y y) 1.0)))) (cbrt (* x (+ (* y y) 1.0))) (pow (* x (+ (* y y) 1.0)) 3) (sqrt (* x (+ (* y y) 1.0))) (sqrt (* x (+ (* y y) 1.0))) (* (pow x 3) (+ (pow 1.0 3) (pow y 6))) (* x (* x (+ (pow y 4) (* 1.0 (- 1.0 (* y y)))))) (* x (* x (- (* 1.0 1.0) (pow y 4)))) (* x (- 1.0 (* y y))) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x 1.0) (* x (+ (* y y) 1.0)) (* x (+ (* y y) 1.0)) 0.383 * * * [progress]: adding candidates to table 0.415 * * [progress]: iteration 4 / 4 0.415 * * * [progress]: picking best candidate 0.421 * * * * [pick]: Picked # 0.421 * * * [progress]: localizing error 0.428 * * * [progress]: generating rewritten candidates 0.428 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.436 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.440 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.445 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.451 * * * [progress]: generating series expansions 0.451 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.451 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (y x) around 0 0.451 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of 0 in x 0.452 * [taylor]: Taking taylor expansion of 0 in x 0.452 * [taylor]: Taking taylor expansion of 0 in x 0.452 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (y x) around 0 0.452 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.452 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.453 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.453 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of 0 in x 0.453 * [taylor]: Taking taylor expansion of 0 in x 0.453 * [taylor]: Taking taylor expansion of 0 in x 0.454 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (pow y 2)) in (y x) around 0 0.456 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (pow y 2)) in x 0.456 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.456 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.457 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.457 * [taylor]: Taking taylor expansion of -1 in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.457 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (pow y 2)) in y 0.457 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in y 0.457 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.457 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.457 * [taylor]: Taking taylor expansion of -1 in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (pow y 2)) in y 0.458 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in y 0.458 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.458 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.458 * [taylor]: Taking taylor expansion of -1 in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.458 * [taylor]: Taking taylor expansion of -1 in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of 0 in x 0.460 * [taylor]: Taking taylor expansion of 0 in x 0.462 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.462 * [approximate]: Taking taylor expansion of (* (sqrt x) y) in (y x) around 0 0.462 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.462 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.462 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.462 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of 0 in x 0.462 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of 0 in x 0.463 * [taylor]: Taking taylor expansion of 0 in x 0.463 * [taylor]: Taking taylor expansion of 0 in x 0.464 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 0.464 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of 0 in x 0.465 * [taylor]: Taking taylor expansion of 0 in x 0.465 * [taylor]: Taking taylor expansion of 0 in x 0.466 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in (y x) around 0 0.466 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 0.466 * [taylor]: Taking taylor expansion of -1 in x 0.466 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in x 0.466 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.466 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.466 * [taylor]: Taking taylor expansion of -1 in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in y 0.466 * [taylor]: Taking taylor expansion of -1 in y 0.466 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in y 0.466 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.466 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.466 * [taylor]: Taking taylor expansion of -1 in y 0.466 * [taylor]: Taking taylor expansion of x in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in y 0.466 * [taylor]: Taking taylor expansion of -1 in y 0.466 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in y 0.466 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.466 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.466 * [taylor]: Taking taylor expansion of -1 in y 0.466 * [taylor]: Taking taylor expansion of x in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ -1 x))) in x 0.466 * [taylor]: Taking taylor expansion of -1 in x 0.466 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.466 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.466 * [taylor]: Taking taylor expansion of -1 in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of 0 in x 0.467 * [taylor]: Taking taylor expansion of 0 in x 0.468 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.468 * [approximate]: Taking taylor expansion of (* (sqrt x) y) in (y x) around 0 0.468 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in x 0.468 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.468 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of (* (sqrt x) y) in y 0.468 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of 0 in x 0.468 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of 0 in x 0.469 * [taylor]: Taking taylor expansion of 0 in x 0.469 * [taylor]: Taking taylor expansion of 0 in x 0.470 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in (y x) around 0 0.470 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in x 0.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of 0 in x 0.471 * [taylor]: Taking taylor expansion of 0 in x 0.471 * [taylor]: Taking taylor expansion of 0 in x 0.472 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in (y x) around 0 0.472 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in x 0.472 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in x 0.472 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.472 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in y 0.472 * [taylor]: Taking taylor expansion of -1 in y 0.472 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in y 0.472 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.472 * [taylor]: Taking taylor expansion of -1 in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) y)) in y 0.472 * [taylor]: Taking taylor expansion of -1 in y 0.472 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) y) in y 0.472 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.472 * [taylor]: Taking taylor expansion of -1 in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (* -1 (sqrt (/ -1 x))) in x 0.473 * [taylor]: Taking taylor expansion of -1 in x 0.473 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.473 * [taylor]: Taking taylor expansion of -1 in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of 0 in x 0.473 * [taylor]: Taking taylor expansion of 0 in x 0.474 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.474 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.474 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.474 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of x in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.474 * [taylor]: Taking taylor expansion of 1.0 in y 0.474 * [taylor]: Taking taylor expansion of x in y 0.474 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.474 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.475 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of 1.0 in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.476 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.476 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.476 * [taylor]: Taking taylor expansion of 1.0 in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.476 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.476 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of 1.0 in y 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [approximate]: Taking taylor expansion of (- (/ (pow (sqrt (/ -1 x)) 2) (pow y 2)) (* 1.0 (/ 1 x))) in (x y) around 0 0.480 * [taylor]: Taking taylor expansion of (- (/ (pow (sqrt (/ -1 x)) 2) (pow y 2)) (* 1.0 (/ 1 x))) in y 0.480 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (pow y 2)) in y 0.480 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in y 0.480 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.480 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.480 * [taylor]: Taking taylor expansion of -1 in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.480 * [taylor]: Taking taylor expansion of 1.0 in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of (- (/ (pow (sqrt (/ -1 x)) 2) (pow y 2)) (* 1.0 (/ 1 x))) in x 0.480 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (pow y 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.480 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.480 * [taylor]: Taking taylor expansion of -1 in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (- (/ (pow (sqrt (/ -1 x)) 2) (pow y 2)) (* 1.0 (/ 1 x))) in x 0.481 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (pow y 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.481 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.481 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (neg 1.0) in y 0.481 * [taylor]: Taking taylor expansion of 1.0 in y 0.481 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) (pow y 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow NAN 2) in y 0.481 * [taylor]: Taking taylor expansion of NAN in y 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of (* 2 (/ (pow NAN 4) (pow y 2))) in y 0.482 * [taylor]: Taking taylor expansion of 2 in y 0.482 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) (pow y 2)) in y 0.482 * [taylor]: Taking taylor expansion of (pow NAN 4) in y 0.482 * [taylor]: Taking taylor expansion of NAN in y 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.483 * * * [progress]: simplifying candidates 0.484 * [simplify]: Simplifying using # : (+ 1 1) (+ 1 1) (+ 1 1) (+ 1 1) (* (* y (sqrt x)) (* y (sqrt x))) (* (* y (sqrt x)) (* y (sqrt x))) (* (* y (sqrt x)) (* y (sqrt x))) (* (* y (sqrt x)) (* y (sqrt x))) (+ 1 1) (+ 1 1) (+ (+ (log y) (log (sqrt x))) (+ (log y) (log (sqrt x)))) (+ (+ (log y) (log (sqrt x))) (log (* y (sqrt x)))) (+ (log (* y (sqrt x))) (+ (log y) (log (sqrt x)))) (+ (log (* y (sqrt x))) (log (* y (sqrt x)))) (log (* (* y (sqrt x)) (* y (sqrt x)))) (exp (* (* y (sqrt x)) (* y (sqrt x)))) (* (* (* (* y y) y) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (* (* y y) y) (* (* (sqrt x) (sqrt x)) (sqrt x)))) (* (* (* (* y y) y) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (* (* y (sqrt x)) (* y (sqrt x))) (* y (sqrt x)))) (* (* (* (* y (sqrt x)) (* y (sqrt x))) (* y (sqrt x))) (* (* (* y y) y) (* (* (sqrt x) (sqrt x)) (sqrt x)))) (* (* (* (* y (sqrt x)) (* y (sqrt x))) (* y (sqrt x))) (* (* (* y (sqrt x)) (* y (sqrt x))) (* y (sqrt x)))) (* (cbrt (* (* y (sqrt x)) (* y (sqrt x)))) (cbrt (* (* y (sqrt x)) (* y (sqrt x))))) (cbrt (* (* y (sqrt x)) (* y (sqrt x)))) (* (* (* (* y (sqrt x)) (* y (sqrt x))) (* (* y (sqrt x)) (* y (sqrt x)))) (* (* y (sqrt x)) (* y (sqrt x)))) (sqrt (* (* y (sqrt x)) (* y (sqrt x)))) (sqrt (* (* y (sqrt x)) (* y (sqrt x)))) (* y y) (* (sqrt x) (sqrt x)) (* 2 1) (* 2 1) (* 2 1) (* 2 1) (* (* y (sqrt x)) y) (* (sqrt x) (* y (sqrt x))) (* y (sqrt x)) (+ (log y) (log (sqrt x))) (log (* y (sqrt x))) (exp (* y (sqrt x))) (* (* (* y y) y) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* y (sqrt x))) (cbrt (* y (sqrt x)))) (cbrt (* y (sqrt x))) (* (* (* y (sqrt x)) (* y (sqrt x))) (* y (sqrt x))) (sqrt (* y (sqrt x))) (sqrt (* y (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* y (sqrt (* (cbrt x) (cbrt x)))) (* y (sqrt (sqrt x))) (* y (sqrt 1)) (* y (sqrt (sqrt x))) (* y 1) (* (cbrt y) (sqrt x)) (* (sqrt y) (sqrt x)) (* y (sqrt x)) (* y (sqrt x)) (+ (log y) (log (sqrt x))) (log (* y (sqrt x))) (exp (* y (sqrt x))) (* (* (* y y) y) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* y (sqrt x))) (cbrt (* y (sqrt x)))) (cbrt (* y (sqrt x))) (* (* (* y (sqrt x)) (* y (sqrt x))) (* y (sqrt x))) (sqrt (* y (sqrt x))) (sqrt (* y (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* y (sqrt (* (cbrt x) (cbrt x)))) (* y (sqrt (sqrt x))) (* y (sqrt 1)) (* y (sqrt (sqrt x))) (* y 1) (* (cbrt y) (sqrt x)) (* (sqrt y) (sqrt x)) (* y (sqrt x)) (* (exp (* x 1.0)) (exp (* (* y (sqrt x)) (* y (sqrt x))))) (log (+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x))))) (exp (+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x))))) (* (cbrt (+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x))))) (cbrt (+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x)))))) (cbrt (+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x))))) (* (* (+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x)))) (+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x))))) (+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x))))) (sqrt (+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x))))) (sqrt (+ (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x))))) (+ (pow (* x 1.0) 3) (pow (* (* y (sqrt x)) (* y (sqrt x))) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* (* y (sqrt x)) (* y (sqrt x))) (* (* y (sqrt x)) (* y (sqrt x)))) (* (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x)))))) (- (* (* x 1.0) (* x 1.0)) (* (* (* y (sqrt x)) (* y (sqrt x))) (* (* y (sqrt x)) (* y (sqrt x))))) (- (* x 1.0) (* (* y (sqrt x)) (* y (sqrt x)))) (* x (pow y 2)) (* x (pow y 2)) (- (+ (* (pow NAN 2) (pow y 2)) (* 3 (/ (* (pow NAN 6) (pow y 2)) (pow x 2)))) (* 2 (/ (* (pow NAN 4) (pow y 2)) x))) (+ (* (pow x 2) (* (pow NAN 3) y)) (+ (* x (* NAN y)) (* (pow x 3) (* (pow NAN 5) y)))) (+ (/ (* (pow NAN 3) y) x) (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2)))) (- (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2))) (/ (* (pow NAN 3) y) x)) (+ (* (pow x 2) (* (pow NAN 3) y)) (+ (* x (* NAN y)) (* (pow x 3) (* (pow NAN 5) y)))) (+ (/ (* (pow NAN 3) y) x) (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2)))) (- (+ (* NAN y) (/ (* (pow NAN 5) y) (pow x 2))) (/ (* (pow NAN 3) y) x)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (- (+ (* (pow NAN 2) (pow y 2)) (* 1.0 x)) (* 2 (/ (* (pow NAN 4) (pow y 2)) x))) 0.513 * * [simplify]: iteration 0 : 5093 enodes (cost 691 ) 0.516 * [simplify]: Simplified to: 2 2 2 2 (* y (* y x)) (* y (* y x)) (* y (* y x)) (* y (* y x)) 2 2 (log (* y (* y x))) (log (* y (* y x))) (log (* y (* y x))) (log (* y (* y x))) (log (* y (* y x))) (pow (exp y) (* y x)) (pow (* y (sqrt x)) 6) (pow (* y (sqrt x)) 6) (pow (* y (sqrt x)) 6) (pow (* y (sqrt x)) 6) (* (cbrt (* y (* y x))) (cbrt (* y (* y x)))) (cbrt (* y (* y x))) (pow (* y (sqrt x)) 6) (fabs (* y (sqrt x))) (fabs (* y (sqrt x))) (* y y) x 2 2 2 2 (* y (* y (sqrt x))) (* y x) (* y (sqrt x)) (log (* y (sqrt x))) (log (* y (sqrt x))) (pow (exp y) (sqrt x)) (pow (* y (sqrt x)) 3) (* (cbrt (* y (sqrt x))) (cbrt (* y (sqrt x)))) (cbrt (* y (sqrt x))) (pow (* y (sqrt x)) 3) (sqrt (* y (sqrt x))) (sqrt (* y (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* y (fabs (cbrt x))) (* y (sqrt (sqrt x))) y (* y (sqrt (sqrt x))) y (* (sqrt x) (cbrt y)) (* (sqrt x) (sqrt y)) (* y (sqrt x)) (* y (sqrt x)) (log (* y (sqrt x))) (log (* y (sqrt x))) (pow (exp y) (sqrt x)) (pow (* y (sqrt x)) 3) (* (cbrt (* y (sqrt x))) (cbrt (* y (sqrt x)))) (cbrt (* y (sqrt x))) (pow (* y (sqrt x)) 3) (sqrt (* y (sqrt x))) (sqrt (* y (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* (sqrt y) (sqrt (sqrt x))) (* y (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* y (fabs (cbrt x))) (* y (sqrt (sqrt x))) y (* y (sqrt (sqrt x))) y (* (sqrt x) (cbrt y)) (* (sqrt x) (sqrt y)) (* y (sqrt x)) (pow (exp x) (+ (* y y) 1.0)) (log (* x (+ (* y y) 1.0))) (pow (exp x) (+ (* y y) 1.0)) (* (cbrt (* x (+ (* y y) 1.0))) (cbrt (* x (+ (* y y) 1.0)))) (cbrt (* x (+ (* y y) 1.0))) (pow (* x (+ (* y y) 1.0)) 3) (sqrt (* x (+ (* y y) 1.0))) (sqrt (* x (+ (* y y) 1.0))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (+ (pow (* y (sqrt x)) 4) (* (* x 1.0) (* x (- 1.0 (* y y))))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (* y y))) (* y (* y x)) (* y (* y x)) (+ (* y (* y (* NAN NAN))) (+ (* 3 (* (* y y) (/ (pow NAN 6) (* x x)))) (* (* (* y y) (/ (pow NAN 4) x)) -2))) (* y (+ (* (pow x 3) (pow NAN 5)) (* x (+ (* x (pow NAN 3)) NAN)))) (+ (* y NAN) (* y (+ (/ (pow NAN 3) x) (/ (pow NAN 5) (* x x))))) (+ (* y NAN) (* y (- (/ (pow NAN 5) (* x x)) (/ (pow NAN 3) x)))) (* y (+ (* (pow x 3) (pow NAN 5)) (* x (+ (* x (pow NAN 3)) NAN)))) (+ (* y NAN) (* y (+ (/ (pow NAN 3) x) (/ (pow NAN 5) (* x x))))) (+ (* y NAN) (* y (- (/ (pow NAN 5) (* x x)) (/ (pow NAN 3) x)))) (* x 1.0) (* x (+ (* y y) 1.0)) (+ (* x 1.0) (+ (* y (* y (* NAN NAN))) (* (* (* y y) (/ (pow NAN 4) x)) -2))) 0.516 * * * [progress]: adding candidates to table 0.589 * [progress]: [Phase 3 of 3] Extracting. 0.589 * * [regime]: Finding splitpoints for: (# # # # #) 0.589 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 0.589 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 0.628 * * * * [regimes]: Trying to branch on y from (# # # # #) 0.668 * * * * [regimes]: Trying to branch on x from (# # # # #) 0.708 * * * [regime]: Found split indices: #