31.974 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.030 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.031 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.031 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.042 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.047 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.047 * [taylor]: Taking taylor expansion of 1/2 in y 0.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.048 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.049 * [taylor]: Taking taylor expansion of 1/2 in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of -1/8 in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.050 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.050 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.051 * [taylor]: Taking taylor expansion of -1/2 in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.051 * [taylor]: Taking taylor expansion of -1/8 in y 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.052 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.052 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * * * [progress]: simplifying candidates 0.055 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN)))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.059 * * [simplify]: iteration 0 : 139 enodes (cost 151 ) 0.062 * * [simplify]: iteration 1 : 485 enodes (cost 141 ) 0.070 * * [simplify]: iteration 2 : 1555 enodes (cost 139 ) 0.103 * * [simplify]: iteration 3 : 5002 enodes (cost 138 ) 0.104 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (- (pow x 4) (pow y 2)) (- (* x x) y) (* NAN (+ (* (* NAN NAN) (pow y 2)) (+ (* 1/2 (pow x 2)) y))) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.104 * * * [progress]: adding candidates to table 0.140 * * [progress]: iteration 2 / 4 0.140 * * * [progress]: picking best candidate 0.144 * * * * [pick]: Picked # 0.144 * * * [progress]: localizing error 0.148 * * * [progress]: generating rewritten candidates 0.149 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.155 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.161 * * * [progress]: generating series expansions 0.161 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.161 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 0.161 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 0.161 * [taylor]: Taking taylor expansion of -1/2 in x 0.161 * [taylor]: Taking taylor expansion of (/ y x) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.161 * [taylor]: Taking taylor expansion of -1/2 in y 0.161 * [taylor]: Taking taylor expansion of (/ y x) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of x in y 0.161 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.161 * [taylor]: Taking taylor expansion of -1/2 in y 0.161 * [taylor]: Taking taylor expansion of (/ y x) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.162 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.162 * [taylor]: Taking taylor expansion of -1/2 in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of 0 in x 0.162 * [taylor]: Taking taylor expansion of 0 in x 0.162 * [taylor]: Taking taylor expansion of 0 in x 0.162 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.162 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.162 * [taylor]: Taking taylor expansion of -1/2 in x 0.163 * [taylor]: Taking taylor expansion of (/ x y) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.163 * [taylor]: Taking taylor expansion of -1/2 in y 0.163 * [taylor]: Taking taylor expansion of (/ x y) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.163 * [taylor]: Taking taylor expansion of -1/2 in y 0.163 * [taylor]: Taking taylor expansion of (/ x y) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.163 * [taylor]: Taking taylor expansion of -1/2 in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of 0 in x 0.163 * [taylor]: Taking taylor expansion of 0 in x 0.163 * [taylor]: Taking taylor expansion of 0 in x 0.163 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.163 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.163 * [taylor]: Taking taylor expansion of -1/2 in x 0.163 * [taylor]: Taking taylor expansion of (/ x y) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.164 * [taylor]: Taking taylor expansion of -1/2 in y 0.164 * [taylor]: Taking taylor expansion of (/ x y) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.164 * [taylor]: Taking taylor expansion of -1/2 in y 0.164 * [taylor]: Taking taylor expansion of (/ x y) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.164 * [taylor]: Taking taylor expansion of -1/2 in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of 0 in x 0.164 * [taylor]: Taking taylor expansion of 0 in x 0.164 * [taylor]: Taking taylor expansion of 0 in x 0.164 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.164 * [approximate]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in (y x) around 0 0.164 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in x 0.164 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.165 * [taylor]: Taking taylor expansion of 1/2 in x 0.165 * [taylor]: Taking taylor expansion of (/ y x) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y 0.165 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.165 * [taylor]: Taking taylor expansion of 1/2 in y 0.165 * [taylor]: Taking taylor expansion of (/ y x) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y 0.165 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.165 * [taylor]: Taking taylor expansion of 1/2 in y 0.165 * [taylor]: Taking taylor expansion of (/ y x) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of (neg x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 x))) in x 0.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of 1/2 in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of 0 in x 0.165 * [taylor]: Taking taylor expansion of 0 in x 0.166 * [taylor]: Taking taylor expansion of 0 in x 0.166 * [approximate]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 0.166 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.166 * [taylor]: Taking taylor expansion of 1/2 in x 0.166 * [taylor]: Taking taylor expansion of (/ x y) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y 0.166 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.166 * [taylor]: Taking taylor expansion of 1/2 in y 0.166 * [taylor]: Taking taylor expansion of (/ x y) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y 0.166 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.166 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.166 * [taylor]: Taking taylor expansion of 1/2 in y 0.166 * [taylor]: Taking taylor expansion of (/ x y) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x 0.167 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.167 * [taylor]: Taking taylor expansion of 1/2 in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of 0 in x 0.167 * [taylor]: Taking taylor expansion of 0 in x 0.168 * [taylor]: Taking taylor expansion of 0 in x 0.168 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 0.168 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.168 * [taylor]: Taking taylor expansion of 1/2 in x 0.168 * [taylor]: Taking taylor expansion of (/ x y) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.168 * [taylor]: Taking taylor expansion of 1/2 in y 0.168 * [taylor]: Taking taylor expansion of (/ x y) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.168 * [taylor]: Taking taylor expansion of 1/2 in y 0.168 * [taylor]: Taking taylor expansion of (/ x y) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x 0.168 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.169 * [taylor]: Taking taylor expansion of 1/2 in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of 0 in x 0.169 * [taylor]: Taking taylor expansion of 0 in x 0.169 * [taylor]: Taking taylor expansion of 0 in x 0.170 * * * [progress]: simplifying candidates 0.170 * [simplify]: Simplifying using # : (* -1/2 (/ y x)) (+ (log -1/2) (- (log y) (log x))) (+ (log -1/2) (log (/ y x))) (log (* -1/2 (/ y x))) (exp (* -1/2 (/ y x))) (* (* (* -1/2 -1/2) -1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* -1/2 -1/2) -1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x))) (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* -1/2 (sqrt (/ y x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (sqrt y) (sqrt x))) (* -1/2 (/ (sqrt y) 1)) (* -1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* -1/2 (/ 1 (sqrt x))) (* -1/2 (/ 1 1)) (* -1/2 1) (* -1/2 y) (* (cbrt -1/2) (/ y x)) (* (sqrt -1/2) (/ y x)) (* -1/2 (/ y x)) (* -1/2 y) (/ (exp (* -1/2 (/ y x))) (exp x)) (log (- (* -1/2 (/ y x)) x)) (exp (- (* -1/2 (/ y x)) x)) (* (cbrt (- (* -1/2 (/ y x)) x)) (cbrt (- (* -1/2 (/ y x)) x))) (cbrt (- (* -1/2 (/ y x)) x)) (* (* (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x)) (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (- (pow (* -1/2 (/ y x)) 3) (pow x 3)) (+ (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (+ (* x x) (* (* -1/2 (/ y x)) x))) (neg x) (- (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* x x)) (+ (* -1/2 (/ y x)) x) (neg x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (neg (+ x (* 1/2 (/ y x)))) (neg (+ x (* 1/2 (/ y x)))) (neg (+ x (* 1/2 (/ y x)))) 0.174 * * [simplify]: iteration 0 : 219 enodes (cost 205 ) 0.178 * * [simplify]: iteration 1 : 893 enodes (cost 190 ) 0.198 * * [simplify]: iteration 2 : 4202 enodes (cost 189 ) 0.265 * * [simplify]: iteration 3 : 5001 enodes (cost 189 ) 0.267 * [simplify]: Simplified to: (* -1/2 (/ y x)) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (exp (* -1/2 (/ y x))) (pow (* -1/2 (/ y x)) 3) (pow (* -1/2 (/ y x)) 3) (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x))) (pow (* -1/2 (/ y x)) 3) (sqrt (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* -1/2 (sqrt (/ y x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) -1/2) (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) -1/2) (/ -1/2 (* (cbrt x) (cbrt x))) (/ -1/2 (sqrt x)) -1/2 -1/2 (* -1/2 y) (* (cbrt -1/2) (/ y x)) (* (sqrt -1/2) (/ y x)) (* -1/2 (/ y x)) (* -1/2 y) (exp (- (* -1/2 (/ y x)) x)) (log (- (* -1/2 (/ y x)) x)) (exp (- (* -1/2 (/ y x)) x)) (* (cbrt (- (* -1/2 (/ y x)) x)) (cbrt (- (* -1/2 (/ y x)) x))) (cbrt (- (* -1/2 (/ y x)) x)) (pow (- (* -1/2 (/ y x)) x) 3) (sqrt (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (- (pow (* -1/2 (/ y x)) 3) (pow x 3)) (+ (* (* -1/2 (/ y x)) (+ (* -1/2 (/ y x)) x)) (* x x)) (neg x) (- (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* x x)) (+ (* -1/2 (/ y x)) x) (neg x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x) 0.267 * * * [progress]: adding candidates to table 0.311 * * [progress]: iteration 3 / 4 0.311 * * * [progress]: picking best candidate 0.314 * * * * [pick]: Picked # 0.314 * * * [progress]: localizing error 0.318 * * * [progress]: generating rewritten candidates 0.318 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.325 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.329 * * * [progress]: generating series expansions 0.329 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.329 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.329 * [taylor]: Taking taylor expansion of 1/2 in x 0.330 * [taylor]: Taking taylor expansion of (/ y x) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.330 * [taylor]: Taking taylor expansion of 1/2 in y 0.330 * [taylor]: Taking taylor expansion of (/ y x) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.330 * [taylor]: Taking taylor expansion of 1/2 in y 0.330 * [taylor]: Taking taylor expansion of (/ y x) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.330 * [taylor]: Taking taylor expansion of 1/2 in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.330 * [taylor]: Taking taylor expansion of 0 in x 0.331 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.331 * [taylor]: Taking taylor expansion of 1/2 in x 0.331 * [taylor]: Taking taylor expansion of (/ x y) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.331 * [taylor]: Taking taylor expansion of 1/2 in y 0.331 * [taylor]: Taking taylor expansion of (/ x y) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.331 * [taylor]: Taking taylor expansion of 1/2 in y 0.331 * [taylor]: Taking taylor expansion of (/ x y) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.331 * [taylor]: Taking taylor expansion of 1/2 in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of 0 in x 0.331 * [taylor]: Taking taylor expansion of 0 in x 0.331 * [taylor]: Taking taylor expansion of 0 in x 0.332 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [taylor]: Taking taylor expansion of (/ x y) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.332 * [taylor]: Taking taylor expansion of 1/2 in y 0.332 * [taylor]: Taking taylor expansion of (/ x y) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.332 * [taylor]: Taking taylor expansion of 1/2 in y 0.332 * [taylor]: Taking taylor expansion of (/ x y) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.332 * [taylor]: Taking taylor expansion of 1/2 in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of 0 in x 0.332 * [taylor]: Taking taylor expansion of 0 in x 0.332 * [taylor]: Taking taylor expansion of 0 in x 0.332 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.333 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.333 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.333 * [taylor]: Taking taylor expansion of 1/2 in y 0.333 * [taylor]: Taking taylor expansion of (/ y x) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.333 * [taylor]: Taking taylor expansion of 1/2 in x 0.333 * [taylor]: Taking taylor expansion of (/ y x) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.333 * [taylor]: Taking taylor expansion of 1/2 in x 0.333 * [taylor]: Taking taylor expansion of (/ y x) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.333 * [taylor]: Taking taylor expansion of 1/2 in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 1 in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.334 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.334 * [taylor]: Taking taylor expansion of 1/2 in y 0.334 * [taylor]: Taking taylor expansion of (/ x y) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.334 * [taylor]: Taking taylor expansion of 1/2 in x 0.334 * [taylor]: Taking taylor expansion of (/ x y) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.334 * [taylor]: Taking taylor expansion of 1/2 in x 0.334 * [taylor]: Taking taylor expansion of (/ x y) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 1 in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.334 * [taylor]: Taking taylor expansion of 1/2 in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.335 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.335 * [taylor]: Taking taylor expansion of 1/2 in y 0.335 * [taylor]: Taking taylor expansion of (/ x y) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.335 * [taylor]: Taking taylor expansion of 1/2 in x 0.335 * [taylor]: Taking taylor expansion of (/ x y) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.336 * [taylor]: Taking taylor expansion of 1/2 in x 0.336 * [taylor]: Taking taylor expansion of (/ x y) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (neg 1) in y 0.336 * [taylor]: Taking taylor expansion of 1 in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.336 * [taylor]: Taking taylor expansion of 1/2 in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.337 * * * [progress]: simplifying candidates 0.337 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.341 * * [simplify]: iteration 0 : 223 enodes (cost 199 ) 0.347 * * [simplify]: iteration 1 : 960 enodes (cost 186 ) 0.367 * * [simplify]: iteration 2 : 4224 enodes (cost 186 ) 0.436 * * [simplify]: iteration 3 : 5001 enodes (cost 186 ) 0.438 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x)) (+ (* -1/4 (* (/ y x) (/ y x))) (* x x)) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.438 * * * [progress]: adding candidates to table 0.480 * [progress]: [Phase 3 of 3] Extracting. 0.480 * * [regime]: Finding splitpoints for: (# # #) 0.481 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.481 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.514 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 0.551 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 0.592 * * * * [regimes]: Trying to branch on y from (# # #) 0.631 * * * * [regimes]: Trying to branch on x from (# # #) 0.675 * * * [regime]: Found split indices: #