32.332 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.085 * [progress]: [Phase 2 of 3] Improving. 0.086 * [simplify]: Simplifying using # : (sqrt.f64 (+.f64 (*.f64 x x) y)) 0.090 * * [simplify]: iteration 0 : 6 enodes (cost 6 ) 0.090 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.091 * [simplify]: Simplified to: (sqrt.f64 (+.f64 (*.f64 x x) y)) 0.091 * * [progress]: iteration 1 / 4 0.091 * * * [progress]: picking best candidate 0.092 * * * * [pick]: Picked # 0.092 * * * [progress]: localizing error 0.096 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.101 * * * [progress]: generating series expansions 0.101 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.101 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.101 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.103 * [taylor]: Taking taylor expansion of 1/2 in y 0.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.104 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.105 * [taylor]: Taking taylor expansion of 1/2 in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.106 * [taylor]: Taking taylor expansion of -1/8 in y 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.107 * [taylor]: Taking taylor expansion of -1/2 in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.108 * [taylor]: Taking taylor expansion of -1/8 in y 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.108 * * * [progress]: simplifying candidates 0.109 * [simplify]: Simplifying using # : (log.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (*.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 x x) y)) (cbrt.f64 (+.f64 (*.f64 x x) y)))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 1) (sqrt.f64 (+.f64 (*.f64 x x) y)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 y 3))) (sqrt.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 y y) (*.f64 (*.f64 x x) y)))) (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y))) (sqrt.f64 (-.f64 (*.f64 x x) y)) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (+.f64 (*.f64 (pow.f64 NAN.f64 3) (pow.f64 y 2)) (+.f64 (*.f64 NAN.f64 y) (*.f64 1/2 (*.f64 (pow.f64 x 2) NAN.f64)))) (+.f64 x (*.f64 1/2 (/.f64 y x))) (neg.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) 0.167 * * [simplify]: iteration 0 : 4926 enodes (cost 159 ) 0.167 * * [simplify]: iteration 1 : 4926 enodes (cost 159 ) 0.168 * [simplify]: Simplified to: (log.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) y)) 3) (fabs.f64 (cbrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) 1 (sqrt.f64 (+.f64 (*.f64 x x) y)) (sqrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 y (-.f64 y (*.f64 x x))))) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 y y))) (sqrt.f64 (-.f64 (*.f64 x x) y)) 1/2 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) y))) (+.f64 (*.f64 (*.f64 y y) (pow.f64 NAN.f64 3)) (*.f64 NAN.f64 (+.f64 y (*.f64 (*.f64 x x) 1/2)))) (+.f64 x (*.f64 1/2 (/.f64 y x))) (-.f64 (*.f64 y (/.f64 -1/2 x)) x) 0.168 * * * [progress]: adding candidates to table 0.178 * * [progress]: iteration 2 / 4 0.178 * * * [progress]: picking best candidate 0.181 * * * * [pick]: Picked # 0.181 * * * [progress]: localizing error 0.186 * * * [progress]: generating rewritten candidates 0.186 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.189 * * * [progress]: generating series expansions 0.189 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.189 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.190 * [taylor]: Taking taylor expansion of 1/2 in y 0.190 * [taylor]: Taking taylor expansion of (/ y x) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.192 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.192 * [taylor]: Taking taylor expansion of 1/2 in x 0.192 * [taylor]: Taking taylor expansion of (/ y x) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.192 * [taylor]: Taking taylor expansion of 1/2 in x 0.192 * [taylor]: Taking taylor expansion of (/ y x) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.192 * [taylor]: Taking taylor expansion of 1/2 in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of 1 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.193 * [taylor]: Taking taylor expansion of 1/2 in y 0.193 * [taylor]: Taking taylor expansion of (/ x y) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.194 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.194 * [taylor]: Taking taylor expansion of 1/2 in x 0.194 * [taylor]: Taking taylor expansion of (/ x y) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.194 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.194 * [taylor]: Taking taylor expansion of 1/2 in x 0.194 * [taylor]: Taking taylor expansion of (/ x y) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of 1 in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.194 * [taylor]: Taking taylor expansion of 1/2 in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.195 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.195 * [taylor]: Taking taylor expansion of 1/2 in y 0.195 * [taylor]: Taking taylor expansion of (/ x y) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.195 * [taylor]: Taking taylor expansion of 1/2 in x 0.195 * [taylor]: Taking taylor expansion of (/ x y) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.195 * [taylor]: Taking taylor expansion of 1/2 in x 0.195 * [taylor]: Taking taylor expansion of (/ x y) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of y in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of -1 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.196 * [taylor]: Taking taylor expansion of 1/2 in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.197 * * * [progress]: simplifying candidates 0.197 * [simplify]: Simplifying using # : (*.f64 (exp.f64 x) (exp.f64 (*.f64 1/2 (/.f64 y x)))) (log.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (exp.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (cbrt.f64 (+.f64 x (*.f64 1/2 (/.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (*.f64 (*.f64 (+.f64 x (*.f64 1/2 (/.f64 y x))) (+.f64 x (*.f64 1/2 (/.f64 y x)))) (+.f64 x (*.f64 1/2 (/.f64 y x)))) (sqrt.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (sqrt.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 1/2 (/.f64 y x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 1/2 (/.f64 y x)) (*.f64 1/2 (/.f64 y x))) (*.f64 x (*.f64 1/2 (/.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 1/2 (/.f64 y x)) (*.f64 1/2 (/.f64 y x)))) (-.f64 x (*.f64 1/2 (/.f64 y x))) (+.f64 x (*.f64 1/2 (/.f64 y x))) (+.f64 x (*.f64 1/2 (/.f64 y x))) (+.f64 x (*.f64 1/2 (/.f64 y x))) 0.257 * * [simplify]: iteration 0 : 5032 enodes (cost 143 ) 0.258 * [simplify]: Simplified to: (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 (/.f64 y x)))) (log.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (*.f64 (exp.f64 x) (sqrt.f64 (exp.f64 (/.f64 y x)))) (*.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (cbrt.f64 (+.f64 x (*.f64 1/2 (/.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (pow.f64 (+.f64 x (*.f64 1/2 (/.f64 y x))) 3) (sqrt.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (sqrt.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 1/2 (/.f64 y x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) 1/4)) (*.f64 1/2 y))) (-.f64 (*.f64 x x) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) 1/4))) (-.f64 x (*.f64 1/2 (/.f64 y x))) (+.f64 x (*.f64 1/2 (/.f64 y x))) (+.f64 x (*.f64 1/2 (/.f64 y x))) (+.f64 x (*.f64 1/2 (/.f64 y x))) 0.258 * * * [progress]: adding candidates to table 0.264 * * [progress]: iteration 3 / 4 0.264 * * * [progress]: picking best candidate 0.266 * * * * [pick]: Picked # 0.266 * * * [progress]: localizing error 0.270 * * * [progress]: generating rewritten candidates 0.270 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.277 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.284 * * * [progress]: generating series expansions 0.284 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.285 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 0.285 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 0.285 * [taylor]: Taking taylor expansion of -1/2 in x 0.285 * [taylor]: Taking taylor expansion of (/ y x) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.285 * [taylor]: Taking taylor expansion of -1/2 in y 0.285 * [taylor]: Taking taylor expansion of (/ y x) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.285 * [taylor]: Taking taylor expansion of -1/2 in y 0.285 * [taylor]: Taking taylor expansion of (/ y x) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.285 * [taylor]: Taking taylor expansion of -1/2 in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of 0 in x 0.285 * [taylor]: Taking taylor expansion of 0 in x 0.286 * [taylor]: Taking taylor expansion of 0 in x 0.286 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.286 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.286 * [taylor]: Taking taylor expansion of -1/2 in x 0.286 * [taylor]: Taking taylor expansion of (/ x y) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.286 * [taylor]: Taking taylor expansion of -1/2 in y 0.286 * [taylor]: Taking taylor expansion of (/ x y) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.286 * [taylor]: Taking taylor expansion of -1/2 in y 0.286 * [taylor]: Taking taylor expansion of (/ x y) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.286 * [taylor]: Taking taylor expansion of -1/2 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of 0 in x 0.286 * [taylor]: Taking taylor expansion of 0 in x 0.287 * [taylor]: Taking taylor expansion of 0 in x 0.287 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.287 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.287 * [taylor]: Taking taylor expansion of -1/2 in x 0.287 * [taylor]: Taking taylor expansion of (/ x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.287 * [taylor]: Taking taylor expansion of -1/2 in y 0.287 * [taylor]: Taking taylor expansion of (/ x y) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.287 * [taylor]: Taking taylor expansion of -1/2 in y 0.287 * [taylor]: Taking taylor expansion of (/ x y) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.287 * [taylor]: Taking taylor expansion of -1/2 in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of 0 in x 0.288 * [taylor]: Taking taylor expansion of 0 in x 0.288 * [taylor]: Taking taylor expansion of 0 in x 0.288 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.288 * [approximate]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in (y x) around 0 0.288 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in x 0.288 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.288 * [taylor]: Taking taylor expansion of 1/2 in x 0.288 * [taylor]: Taking taylor expansion of (/ y x) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y 0.288 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.288 * [taylor]: Taking taylor expansion of 1/2 in y 0.288 * [taylor]: Taking taylor expansion of (/ y x) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y 0.288 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.288 * [taylor]: Taking taylor expansion of 1/2 in y 0.288 * [taylor]: Taking taylor expansion of (/ y x) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of (neg x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of 1/2 in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of 0 in x 0.289 * [taylor]: Taking taylor expansion of 0 in x 0.289 * [taylor]: Taking taylor expansion of 0 in x 0.290 * [approximate]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 0.290 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in x 0.290 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.290 * [taylor]: Taking taylor expansion of 1/2 in x 0.290 * [taylor]: Taking taylor expansion of (/ x y) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y 0.290 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.290 * [taylor]: Taking taylor expansion of 1/2 in y 0.290 * [taylor]: Taking taylor expansion of (/ x y) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y 0.290 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.290 * [taylor]: Taking taylor expansion of 1/2 in y 0.290 * [taylor]: Taking taylor expansion of (/ x y) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.290 * [taylor]: Taking taylor expansion of x in y 0.291 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x 0.291 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.291 * [taylor]: Taking taylor expansion of 1/2 in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of 0 in x 0.291 * [taylor]: Taking taylor expansion of 0 in x 0.292 * [taylor]: Taking taylor expansion of 0 in x 0.292 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.292 * [taylor]: Taking taylor expansion of 1/2 in x 0.292 * [taylor]: Taking taylor expansion of (/ x y) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.292 * [taylor]: Taking taylor expansion of 1/2 in y 0.292 * [taylor]: Taking taylor expansion of (/ x y) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.292 * [taylor]: Taking taylor expansion of 1/2 in y 0.292 * [taylor]: Taking taylor expansion of (/ x y) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x 0.293 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.293 * [taylor]: Taking taylor expansion of 1/2 in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of 0 in x 0.293 * [taylor]: Taking taylor expansion of 0 in x 0.294 * [taylor]: Taking taylor expansion of 0 in x 0.294 * * * [progress]: simplifying candidates 0.295 * [simplify]: Simplifying using # : (*.f64 y (/.f64 -1/2 x)) (+.f64 (log.f64 y) (-.f64 (log.f64 -1/2) (log.f64 x))) (+.f64 (log.f64 y) (log.f64 (/.f64 -1/2 x))) (log.f64 (*.f64 y (/.f64 -1/2 x))) (exp.f64 (*.f64 y (/.f64 -1/2 x))) (*.f64 (*.f64 (*.f64 y y) y) (/.f64 (*.f64 (*.f64 -1/2 -1/2) -1/2) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (*.f64 y (/.f64 -1/2 x))) (cbrt.f64 (*.f64 y (/.f64 -1/2 x)))) (cbrt.f64 (*.f64 y (/.f64 -1/2 x))) (*.f64 (*.f64 (*.f64 y (/.f64 -1/2 x)) (*.f64 y (/.f64 -1/2 x))) (*.f64 y (/.f64 -1/2 x))) (sqrt.f64 (*.f64 y (/.f64 -1/2 x))) (sqrt.f64 (*.f64 y (/.f64 -1/2 x))) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/2 x))) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/2 x))) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 -1/2) (sqrt.f64 x))) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 -1/2) (sqrt.f64 x))) (*.f64 y (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x)))) (*.f64 y (sqrt.f64 (/.f64 -1/2 x))) (*.f64 y (/.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1/2)) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) (*.f64 y (/.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1/2)) (sqrt.f64 x))) (*.f64 y (/.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1/2)) 1)) (*.f64 y (/.f64 (sqrt.f64 -1/2) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) (*.f64 y (/.f64 (sqrt.f64 -1/2) (sqrt.f64 x))) (*.f64 y (/.f64 (sqrt.f64 -1/2) 1)) (*.f64 y (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) (*.f64 y (/.f64 1 (sqrt.f64 x))) (*.f64 y (/.f64 1 1)) (*.f64 y 1) (*.f64 y -1/2) (*.f64 (cbrt.f64 y) (/.f64 -1/2 x)) (*.f64 (sqrt.f64 y) (/.f64 -1/2 x)) (*.f64 y (/.f64 -1/2 x)) (*.f64 y -1/2) (/.f64 (exp.f64 (*.f64 y (/.f64 -1/2 x))) (exp.f64 x)) (log.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (exp.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (*.f64 (cbrt.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (cbrt.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x))) (cbrt.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (*.f64 (*.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x) (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (sqrt.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (sqrt.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (-.f64 (pow.f64 (*.f64 y (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y (/.f64 -1/2 x)) (*.f64 y (/.f64 -1/2 x))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (/.f64 -1/2 x)) x))) (neg.f64 x) (-.f64 (*.f64 (*.f64 y (/.f64 -1/2 x)) (*.f64 y (/.f64 -1/2 x))) (*.f64 x x)) (+.f64 (*.f64 y (/.f64 -1/2 x)) x) (*.f64 -1/2 (/.f64 y x)) (*.f64 -1/2 (/.f64 y x)) (*.f64 -1/2 (/.f64 y x)) (neg.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (neg.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) (neg.f64 (+.f64 x (*.f64 1/2 (/.f64 y x)))) 0.336 * * [simplify]: iteration 0 : 5315 enodes (cost 373 ) 0.339 * [simplify]: Simplified to: (*.f64 y (/.f64 -1/2 x)) (log.f64 (*.f64 y (/.f64 -1/2 x))) (log.f64 (*.f64 y (/.f64 -1/2 x))) (log.f64 (*.f64 y (/.f64 -1/2 x))) (exp.f64 (*.f64 y (/.f64 -1/2 x))) (*.f64 -1/8 (pow.f64 (/.f64 y x) 3)) (*.f64 -1/8 (pow.f64 (/.f64 y x) 3)) (*.f64 (cbrt.f64 (*.f64 y (/.f64 -1/2 x))) (cbrt.f64 (*.f64 y (/.f64 -1/2 x)))) (cbrt.f64 (*.f64 y (/.f64 -1/2 x))) (*.f64 -1/8 (pow.f64 (/.f64 y x) 3)) (sqrt.f64 (*.f64 y (/.f64 -1/2 x))) (sqrt.f64 (*.f64 y (/.f64 -1/2 x))) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/2 x))) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 -1/2 x))) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 -1/2) (sqrt.f64 x))) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 -1/2) (sqrt.f64 x))) (*.f64 y (*.f64 (cbrt.f64 (/.f64 -1/2 x)) (cbrt.f64 (/.f64 -1/2 x)))) (*.f64 y (sqrt.f64 (/.f64 -1/2 x))) (*.f64 y (/.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1/2)) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) (*.f64 y (/.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1/2)) (sqrt.f64 x))) (*.f64 y (*.f64 (cbrt.f64 -1/2) (cbrt.f64 -1/2))) (*.f64 y (/.f64 (sqrt.f64 -1/2) (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) (*.f64 y (/.f64 (sqrt.f64 -1/2) (sqrt.f64 x))) (*.f64 y (sqrt.f64 -1/2)) (/.f64 y (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 y (sqrt.f64 x)) y y (*.f64 y -1/2) (*.f64 (/.f64 -1/2 x) (cbrt.f64 y)) (*.f64 (/.f64 -1/2 x) (sqrt.f64 y)) (*.f64 y (/.f64 -1/2 x)) (*.f64 y -1/2) (exp.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (log.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (exp.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (*.f64 (cbrt.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (cbrt.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x))) (cbrt.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (pow.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x) 3) (sqrt.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (sqrt.f64 (-.f64 (*.f64 y (/.f64 -1/2 x)) x)) (-.f64 (*.f64 -1/8 (pow.f64 (/.f64 y x) 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (*.f64 y (+.f64 -1/2 (*.f64 y (/.f64 1/4 (*.f64 x x)))))) (neg.f64 x) (-.f64 (*.f64 (*.f64 y y) (/.f64 1/4 (*.f64 x x))) (*.f64 x x)) (+.f64 x (*.f64 y (/.f64 -1/2 x))) (*.f64 y (/.f64 -1/2 x)) (*.f64 y (/.f64 -1/2 x)) (*.f64 y (/.f64 -1/2 x)) (-.f64 (*.f64 y (/.f64 -1/2 x)) x) (-.f64 (*.f64 y (/.f64 -1/2 x)) x) (-.f64 (*.f64 y (/.f64 -1/2 x)) x) 0.339 * * * [progress]: adding candidates to table 0.361 * [progress]: [Phase 3 of 3] Extracting. 0.361 * * [regime]: Finding splitpoints for: (# # #) 0.361 * * * [regime-changes]: Trying 5 branch expressions: ((*.f64 x x) (+.f64 (*.f64 x x) y) (sqrt.f64 (+.f64 (*.f64 x x) y)) y x) 0.362 * * * * [regimes]: Trying to branch on (*.f64 x x) from (# # #) 0.384 * * * * [regimes]: Trying to branch on (+.f64 (*.f64 x x) y) from (# # #) 0.410 * * * * [regimes]: Trying to branch on (sqrt.f64 (+.f64 (*.f64 x x) y)) from (# # #) 0.435 * * * * [regimes]: Trying to branch on y from (# # #) 0.473 * * * * [regimes]: Trying to branch on x from (# # #) 0.504 * * * [regime]: Found split indices: #