14.441 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.041 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.042 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.043 * * [simplify]: iteration 2 : 28 enodes (cost 6 ) 0.044 * * [simplify]: iteration 3 : 30 enodes (cost 6 ) 0.046 * * [simplify]: iteration 4 : 35 enodes (cost 6 ) 0.047 * * [simplify]: iteration 5 : 37 enodes (cost 6 ) 0.048 * * [simplify]: iteration 6 : 37 enodes (cost 6 ) 0.048 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.061 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.068 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.071 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.073 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.073 * [taylor]: Taking taylor expansion of 0.5 in x 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.074 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.074 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.074 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.076 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.076 * [taylor]: Taking taylor expansion of 0.5 in x 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.077 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.077 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.102 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.102 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.103 * [taylor]: Taking taylor expansion of 0.5 in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.104 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.104 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.105 * [taylor]: Taking taylor expansion of 0.5 in x 0.131 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.131 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.131 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.132 * [taylor]: Taking taylor expansion of 0.5 in x 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.133 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.133 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.133 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.134 * [taylor]: Taking taylor expansion of 0.5 in x 0.156 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.156 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.156 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.156 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.156 * [taylor]: Taking taylor expansion of 0.5 in x 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.157 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.157 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.157 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.158 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.158 * [taylor]: Taking taylor expansion of 0.5 in x 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.159 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.159 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.159 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.180 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.180 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.180 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.180 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.181 * [taylor]: Taking taylor expansion of 0.5 in x 0.181 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.182 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.182 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.183 * [taylor]: Taking taylor expansion of 0.5 in x 0.205 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.205 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.205 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.205 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.205 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.206 * [taylor]: Taking taylor expansion of 0.5 in x 0.207 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.207 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.207 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.208 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.208 * [taylor]: Taking taylor expansion of 0.5 in x 0.227 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.227 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.227 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.229 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.229 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.229 * [taylor]: Taking taylor expansion of 1.0 in x 0.229 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.229 * [taylor]: Taking taylor expansion of 1.0 in x 0.229 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.230 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.230 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.230 * [taylor]: Taking taylor expansion of 1.0 in x 0.230 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.231 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.232 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2) 0.232 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.232 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.232 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.233 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.233 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.233 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.233 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.233 * * * [progress]: simplifying candidates 0.234 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (neg (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (neg (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (neg 1.0) (neg (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (hypot 1.0 x) (hypot 1.0 x) (hypot 1.0 x) 0.239 * * [simplify]: iteration 0 : 201 enodes (cost 433 ) 0.242 * * [simplify]: iteration 1 : 602 enodes (cost 413 ) 0.252 * * [simplify]: iteration 2 : 1984 enodes (cost 411 ) 0.290 * * [simplify]: iteration 3 : 5001 enodes (cost 411 ) 0.292 * [simplify]: Simplified to: (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (neg (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (neg (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (neg 1.0) (neg (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (pow (hypot 1.0 x) 3) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (hypot 1.0 x) (hypot 1.0 x) (hypot 1.0 x) 0.293 * * * [progress]: adding candidates to table 0.414 * * [progress]: iteration 2 / 4 0.414 * * * [progress]: picking best candidate 0.420 * * * * [pick]: Picked # 0.420 * * * [progress]: localizing error 0.432 * * * [progress]: generating rewritten candidates 0.432 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.439 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.442 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 0.445 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.450 * * * [progress]: generating series expansions 0.450 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.451 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 0.451 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.451 * [taylor]: Taking taylor expansion of 0.5 in x 0.451 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.451 * [taylor]: Taking taylor expansion of 0.5 in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.451 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.451 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.451 * [taylor]: Taking taylor expansion of 0.5 in x 0.451 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.451 * [taylor]: Taking taylor expansion of 0.5 in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.451 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.463 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 0.464 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.464 * [taylor]: Taking taylor expansion of 0.5 in x 0.464 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.464 * [taylor]: Taking taylor expansion of 0.5 in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.464 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.464 * [taylor]: Taking taylor expansion of 0.5 in x 0.464 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.464 * [taylor]: Taking taylor expansion of 0.5 in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.464 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.474 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 0.474 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.474 * [taylor]: Taking taylor expansion of 0.5 in x 0.474 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.474 * [taylor]: Taking taylor expansion of 0.5 in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.474 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.474 * [taylor]: Taking taylor expansion of 0.5 in x 0.474 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.474 * [taylor]: Taking taylor expansion of 0.5 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.475 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.485 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.485 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 0.485 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.485 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.485 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.485 * [taylor]: Taking taylor expansion of 0.5 in x 0.486 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.486 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.486 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.486 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.486 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.487 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.487 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.487 * [taylor]: Taking taylor expansion of 0.5 in x 0.487 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.488 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.488 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.488 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.488 * [taylor]: Taking taylor expansion of 1.0 in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 0.510 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.510 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.512 * [taylor]: Taking taylor expansion of 0.5 in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.512 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.512 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.512 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.512 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.513 * [taylor]: Taking taylor expansion of 0.5 in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 0.535 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.535 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.535 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.535 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.535 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.535 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.536 * [taylor]: Taking taylor expansion of 0.5 in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.537 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.537 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.537 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.538 * [taylor]: Taking taylor expansion of 0.5 in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 0.562 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.564 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.566 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.568 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 0.568 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.568 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.569 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.569 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.571 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.571 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.573 * * * [progress]: simplifying candidates 0.574 * [simplify]: Simplifying using # : (/ (exp (* 1.0 (- 1.0 0.5))) (exp (* 0.5 (/ 1.0 (hypot 1.0 x))))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (* (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (hypot 1.0 x)) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 1.0))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (hypot 1.0 x)) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (hypot 1.0 x)) (* (+ 1.0 0.5) (* 0.5 1.0))) (* (+ 1.0 0.5) (hypot 1.0 x)) (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (/ 1.0 (hypot 1.0 x))) 3)) (+ (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (+ (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (neg (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (neg 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (neg 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (neg 0.5) 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (neg 0.5) 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (neg (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (neg 1.0) (neg (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (neg 1.0) (neg (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 0.580 * * [simplify]: iteration 0 : 306 enodes (cost 616 ) 0.585 * * [simplify]: iteration 1 : 1080 enodes (cost 568 ) 0.608 * * [simplify]: iteration 2 : 4837 enodes (cost 560 ) 0.710 * * [simplify]: iteration 3 : 5001 enodes (cost 560 ) 0.714 * [simplify]: Simplified to: (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (pow (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) 3) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* 1.0 (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))))) (* (hypot 1.0 x) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)) (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (/ 1.0 (hypot 1.0 x))) 3)) (+ (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 1.0 (- 1.0 0.5)))) (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5)))) (neg (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (neg (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (neg (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (neg (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (neg (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (neg (* 0.5 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (neg 1.0) (neg (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (neg 1.0) (neg (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- 0.5 (/ 0.5 (hypot 1.0 x))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 0.714 * * * [progress]: adding candidates to table 0.904 * * [progress]: iteration 3 / 4 0.904 * * * [progress]: picking best candidate 0.914 * * * * [pick]: Picked # 0.914 * * * [progress]: localizing error 0.933 * * * [progress]: generating rewritten candidates 0.933 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.941 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.944 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 0.949 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.958 * * * [progress]: generating series expansions 0.958 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.960 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in (x) around 0 0.960 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 0.960 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 0.960 * [taylor]: Taking taylor expansion of 0.75 in x 0.960 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.960 * [taylor]: Taking taylor expansion of 0.75 in x 0.960 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 0.960 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 0.960 * [taylor]: Taking taylor expansion of 0.75 in x 0.960 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.960 * [taylor]: Taking taylor expansion of 0.75 in x 0.970 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in (x) around 0 0.970 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 0.970 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 0.970 * [taylor]: Taking taylor expansion of 0.75 in x 0.970 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.970 * [taylor]: Taking taylor expansion of 0.75 in x 0.970 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 0.970 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 0.970 * [taylor]: Taking taylor expansion of 0.75 in x 0.970 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.970 * [taylor]: Taking taylor expansion of 0.75 in x 0.980 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in (x) around 0 0.980 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 0.980 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 0.980 * [taylor]: Taking taylor expansion of 0.75 in x 0.980 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.980 * [taylor]: Taking taylor expansion of 0.75 in x 0.980 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 0.980 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 0.980 * [taylor]: Taking taylor expansion of 0.75 in x 0.980 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.980 * [taylor]: Taking taylor expansion of 0.75 in x 0.989 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.989 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 0.989 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.989 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.989 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.989 * [taylor]: Taking taylor expansion of 0.5 in x 0.990 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.990 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.990 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.990 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.990 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.990 * [taylor]: Taking taylor expansion of 1.0 in x 0.991 * [taylor]: Taking taylor expansion of 1.0 in x 0.991 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.991 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.991 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.991 * [taylor]: Taking taylor expansion of 0.5 in x 0.992 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.992 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.992 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.992 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.992 * [taylor]: Taking taylor expansion of 1.0 in x 0.993 * [taylor]: Taking taylor expansion of 1.0 in x 1.014 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.015 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.015 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.015 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.015 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.015 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.015 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.015 * [taylor]: Taking taylor expansion of 1.0 in x 1.016 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.016 * [taylor]: Taking taylor expansion of 0.5 in x 1.016 * [taylor]: Taking taylor expansion of 1.0 in x 1.016 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.016 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.016 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.016 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.016 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.017 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.017 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.018 * [taylor]: Taking taylor expansion of 0.5 in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.042 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.042 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.042 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.042 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.042 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.042 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.042 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.043 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.043 * [taylor]: Taking taylor expansion of 0.5 in x 1.044 * [taylor]: Taking taylor expansion of 1.0 in x 1.044 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.044 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.044 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.044 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.044 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.044 * [taylor]: Taking taylor expansion of 1.0 in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.044 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.044 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.045 * [taylor]: Taking taylor expansion of 0.5 in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 1.065 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.065 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.065 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.065 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.066 * [taylor]: Taking taylor expansion of 1.0 in x 1.066 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.067 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.067 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.067 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.069 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.069 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.069 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.071 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.071 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.071 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.071 * [taylor]: Taking taylor expansion of 0.5 in x 1.072 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.072 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.072 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.072 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.073 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.073 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.073 * [taylor]: Taking taylor expansion of 0.5 in x 1.074 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.074 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.074 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.074 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.095 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 1.095 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.095 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.095 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.095 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.095 * [taylor]: Taking taylor expansion of 1.0 in x 1.095 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.095 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.095 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.096 * [taylor]: Taking taylor expansion of 0.5 in x 1.097 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.097 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.097 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.097 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.097 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.098 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.098 * [taylor]: Taking taylor expansion of 0.5 in x 1.120 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 1.120 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.120 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.120 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.120 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.120 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.121 * [taylor]: Taking taylor expansion of 0.5 in x 1.122 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.122 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.122 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.122 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.122 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.122 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.123 * [taylor]: Taking taylor expansion of 0.5 in x 1.142 * * * [progress]: simplifying candidates 1.143 * [simplify]: Simplifying using # : (/ (exp (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (exp (* 0.5 (+ 0.5 1.0)))) (log (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (exp (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (* (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (sqrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (sqrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (- (* (* (- (pow (* 1.0 1.0) 3) (pow (* 0.5 0.5) 3)) (hypot 1.0 x)) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0)))) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (* 1.0 1.0) (* 0.5 0.5)))) (* 0.5 (+ (pow 0.5 3) (pow 1.0 3))))) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (* 1.0 1.0) (* 0.5 0.5)))) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0)))) (- (* (* (- (pow (* 1.0 1.0) 3) (pow (* 0.5 0.5) 3)) (hypot 1.0 x)) (- 0.5 1.0)) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (* 1.0 1.0) (* 0.5 0.5)))) (* 0.5 (- (* 0.5 0.5) (* 1.0 1.0))))) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (* 1.0 1.0) (* 0.5 0.5)))) (- 0.5 1.0)) (- (* (* (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 0.5) (* 0.5 0.5))) (hypot 1.0 x)) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0)))) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (* 0.5 (+ (pow 0.5 3) (pow 1.0 3))))) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0)))) (- (* (* (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 0.5) (* 0.5 0.5))) (hypot 1.0 x)) (- 0.5 1.0)) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (* 0.5 (- (* 0.5 0.5) (* 1.0 1.0))))) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (- 0.5 1.0)) (- (pow (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) 3) (pow (* 0.5 (+ 0.5 1.0)) 3)) (+ (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (+ (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (neg (* 0.5 (+ 0.5 1.0))) (- (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0)))) (+ (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 0.5)) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 0.5)) (neg (* 0.5 (+ 0.5 1.0))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (neg 1.0) (neg (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.149 * * [simplify]: iteration 0 : 445 enodes (cost 704 ) 1.157 * * [simplify]: iteration 1 : 1765 enodes (cost 663 ) 1.189 * * [simplify]: iteration 2 : 5001 enodes (cost 663 ) 1.193 * [simplify]: Simplified to: (exp (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (log (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (exp (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (pow (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) 3) (sqrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (sqrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (+ (* (neg (+ (* (* 0.5 0.5) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (pow 1.0 3) 1.0))) (* 0.5 (+ (pow 0.5 3) (pow 1.0 3)))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5)) (* (- (pow (* 1.0 1.0) 3) (pow (* 0.5 0.5) 3)) (hypot 1.0 x)))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5)) (+ (* (* 0.5 0.5) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (pow 1.0 3) 1.0))) (+ (* (neg (+ (* (* 0.5 0.5) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (pow 1.0 3) 1.0))) (* 0.5 (- (* 0.5 0.5) (* 1.0 1.0)))) (* (* (- (pow (* 1.0 1.0) 3) (pow (* 0.5 0.5) 3)) (hypot 1.0 x)) (- 0.5 1.0))) (* (- 0.5 1.0) (+ (* (* 0.5 0.5) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (pow 1.0 3) 1.0))) (+ (neg (* (+ (* 1.0 1.0) (* 0.5 0.5)) (* 0.5 (+ (pow 0.5 3) (pow 1.0 3))))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5)) (* (hypot 1.0 x) (+ (* (pow 1.0 3) 1.0) (neg (* (pow 0.5 3) 0.5)))))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5)) (+ (* 1.0 1.0) (* 0.5 0.5))) (- (* (* (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 0.5) (* 0.5 0.5))) (hypot 1.0 x)) (- 0.5 1.0)) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (* 0.5 (- (* 0.5 0.5) (* 1.0 1.0))))) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (- 0.5 1.0)) (- (pow (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) 3) (pow (* 0.5 (+ 0.5 1.0)) 3)) (+ (* (* 0.5 (+ 0.5 1.0)) (+ (* 0.5 (+ 0.5 1.0)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)))) (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)))) (neg (* 0.5 (+ 0.5 1.0))) (- (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0)))) (+ (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 0.5)) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 0.5)) (neg (* 0.5 (+ 0.5 1.0))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (- (+ (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (neg 1.0) (neg (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.193 * * * [progress]: adding candidates to table 1.417 * * [progress]: iteration 4 / 4 1.417 * * * [progress]: picking best candidate 1.434 * * * * [pick]: Picked # 1.435 * * * [progress]: localizing error 1.452 * * * [progress]: generating rewritten candidates 1.452 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.466 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.476 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.502 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.518 * * * [progress]: generating series expansions 1.518 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.520 * [approximate]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) in (x) around 0 1.520 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) in x 1.520 * [taylor]: Taking taylor expansion of 0.25 in x 1.520 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 x) 2))) in x 1.520 * [taylor]: Taking taylor expansion of 0.25 in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 1.520 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.520 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.520 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) in x 1.520 * [taylor]: Taking taylor expansion of 0.25 in x 1.520 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 x) 2))) in x 1.520 * [taylor]: Taking taylor expansion of 0.25 in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 1.520 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.520 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.536 * [approximate]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in (x) around 0 1.537 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 1.537 * [taylor]: Taking taylor expansion of 0.25 in x 1.537 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 1.537 * [taylor]: Taking taylor expansion of 0.25 in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 1.537 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 1.537 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.537 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 1.537 * [taylor]: Taking taylor expansion of 0.25 in x 1.537 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 1.537 * [taylor]: Taking taylor expansion of 0.25 in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 1.537 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 1.537 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.554 * [approximate]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) in (x) around 0 1.554 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) in x 1.554 * [taylor]: Taking taylor expansion of 0.25 in x 1.554 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 1.554 * [taylor]: Taking taylor expansion of 0.25 in x 1.554 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 1.554 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 1.554 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.555 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) in x 1.555 * [taylor]: Taking taylor expansion of 0.25 in x 1.555 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 1.555 * [taylor]: Taking taylor expansion of 0.25 in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 1.555 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 1.555 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.570 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.570 * [approximate]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 x) 2)) in (x) around 0 1.570 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 x) 2)) in x 1.570 * [taylor]: Taking taylor expansion of 0.25 in x 1.570 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.570 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.570 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 x) 2)) in x 1.570 * [taylor]: Taking taylor expansion of 0.25 in x 1.570 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.570 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.577 * [approximate]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 (/ 1 x)) 2)) in (x) around 0 1.577 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 (/ 1 x)) 2)) in x 1.577 * [taylor]: Taking taylor expansion of 0.25 in x 1.577 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 1.577 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.577 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 (/ 1 x)) 2)) in x 1.577 * [taylor]: Taking taylor expansion of 0.25 in x 1.577 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 1.577 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.585 * [approximate]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 (/ -1 x)) 2)) in (x) around 0 1.585 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 (/ -1 x)) 2)) in x 1.585 * [taylor]: Taking taylor expansion of 0.25 in x 1.585 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 1.585 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.585 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 (/ -1 x)) 2)) in x 1.585 * [taylor]: Taking taylor expansion of 0.25 in x 1.585 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 1.585 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.592 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.599 * [approximate]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) in (x) around 0 1.600 * [taylor]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) in x 1.600 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) in x 1.600 * [taylor]: Taking taylor expansion of 0.25 in x 1.600 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 x) 2))) in x 1.600 * [taylor]: Taking taylor expansion of 0.25 in x 1.600 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 1.600 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.600 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.600 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5) in x 1.600 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.600 * [taylor]: Taking taylor expansion of 0.5 in x 1.600 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.600 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.600 * [taylor]: Taking taylor expansion of 0.5 in x 1.601 * [taylor]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) in x 1.601 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) in x 1.601 * [taylor]: Taking taylor expansion of 0.25 in x 1.601 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 x) 2))) in x 1.601 * [taylor]: Taking taylor expansion of 0.25 in x 1.601 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 1.601 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.601 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.601 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5) in x 1.601 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.601 * [taylor]: Taking taylor expansion of 0.5 in x 1.601 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.601 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.601 * [taylor]: Taking taylor expansion of 0.5 in x 1.629 * [approximate]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) 0.5)) in (x) around 0 1.629 * [taylor]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) 0.5)) in x 1.629 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 1.629 * [taylor]: Taking taylor expansion of 0.25 in x 1.630 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 1.630 * [taylor]: Taking taylor expansion of 0.25 in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 1.630 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 1.630 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.630 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) 0.5) in x 1.630 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.630 * [taylor]: Taking taylor expansion of 0.5 in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.630 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.630 * [taylor]: Taking taylor expansion of 0.5 in x 1.631 * [taylor]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) 0.5)) in x 1.631 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 1.631 * [taylor]: Taking taylor expansion of 0.25 in x 1.631 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 1.631 * [taylor]: Taking taylor expansion of 0.25 in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 1.631 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 1.631 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.631 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) 0.5) in x 1.631 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.631 * [taylor]: Taking taylor expansion of 0.5 in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.631 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.631 * [taylor]: Taking taylor expansion of 0.5 in x 1.660 * [approximate]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) 0.5)) in (x) around 0 1.660 * [taylor]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) 0.5)) in x 1.660 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) in x 1.660 * [taylor]: Taking taylor expansion of 0.25 in x 1.660 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 1.660 * [taylor]: Taking taylor expansion of 0.25 in x 1.660 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 1.660 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 1.660 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.661 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) 0.5) in x 1.661 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.661 * [taylor]: Taking taylor expansion of 0.5 in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.661 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.661 * [taylor]: Taking taylor expansion of 0.5 in x 1.661 * [taylor]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) 0.5)) in x 1.661 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) in x 1.661 * [taylor]: Taking taylor expansion of 0.25 in x 1.661 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 1.661 * [taylor]: Taking taylor expansion of 0.25 in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 1.661 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 1.661 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.662 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) 0.5) in x 1.662 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.662 * [taylor]: Taking taylor expansion of 0.5 in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.662 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.662 * [taylor]: Taking taylor expansion of 0.5 in x 1.693 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.694 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.694 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.694 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.694 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.694 * [taylor]: Taking taylor expansion of 0.5 in x 1.695 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.695 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.695 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.695 * [taylor]: Taking taylor expansion of 1.0 in x 1.695 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.695 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.695 * [taylor]: Taking taylor expansion of 1.0 in x 1.696 * [taylor]: Taking taylor expansion of 1.0 in x 1.696 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.696 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.696 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.696 * [taylor]: Taking taylor expansion of 0.5 in x 1.696 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.696 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.696 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.696 * [taylor]: Taking taylor expansion of 1.0 in x 1.696 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.696 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.697 * [taylor]: Taking taylor expansion of 1.0 in x 1.697 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.719 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.719 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.719 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.719 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.719 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.719 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.720 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.720 * [taylor]: Taking taylor expansion of 0.5 in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.721 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.721 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.721 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.721 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.721 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.721 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.721 * [taylor]: Taking taylor expansion of 1.0 in x 1.722 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.722 * [taylor]: Taking taylor expansion of 0.5 in x 1.723 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.743 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.743 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.743 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.743 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.743 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.743 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.743 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.743 * [taylor]: Taking taylor expansion of 1.0 in x 1.744 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.744 * [taylor]: Taking taylor expansion of 0.5 in x 1.745 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.745 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.745 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.745 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.745 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.745 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.745 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.745 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.746 * [taylor]: Taking taylor expansion of 0.5 in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.772 * * * [progress]: simplifying candidates 1.775 * [simplify]: Simplifying using # : (/ (exp (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5)))) (exp (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (log (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (exp (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (* (* (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (sqrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (sqrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (- (* (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (* 1.0 (- (pow 1.0 3) (pow 0.5 3)))) (* (hypot 1.0 x) (hypot 1.0 x))) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (* (* 0.5 1.0) (* 0.5 1.0)))) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (* (hypot 1.0 x) (hypot 1.0 x))) (- (* (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (* 1.0 (- (pow 1.0 3) (pow 0.5 3)))) (hypot 1.0 x)) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 1.0)))) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (hypot 1.0 x)) (- (* (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (* 1.0 (- (pow 1.0 3) (pow 0.5 3)))) (hypot 1.0 x)) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (* (* 0.5 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (hypot 1.0 x)) (- (* (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5)))) (* (hypot 1.0 x) (hypot 1.0 x))) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ 1.0 0.5)) (* (* 0.5 1.0) (* 0.5 1.0)))) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ 1.0 0.5)) (* (hypot 1.0 x) (hypot 1.0 x))) (- (* (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5)))) (hypot 1.0 x)) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ 1.0 0.5)) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 1.0)))) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ 1.0 0.5)) (hypot 1.0 x)) (- (* (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5)))) (hypot 1.0 x)) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ 1.0 0.5)) (* (* 0.5 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ 1.0 0.5)) (hypot 1.0 x)) (- (* (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (* 1.0 (- (pow 1.0 3) (pow 0.5 3)))) (* (hypot 1.0 x) (hypot 1.0 x))) (* (* (+ 1.0 0.5) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (* (* 0.5 1.0) (* 0.5 1.0)))) (* (* (+ 1.0 0.5) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (* (hypot 1.0 x) (hypot 1.0 x))) (- (* (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (* 1.0 (- (pow 1.0 3) (pow 0.5 3)))) (hypot 1.0 x)) (* (* (+ 1.0 0.5) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 1.0)))) (* (* (+ 1.0 0.5) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (hypot 1.0 x)) (- (* (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (* 1.0 (- (pow 1.0 3) (pow 0.5 3)))) (hypot 1.0 x)) (* (* (+ 1.0 0.5) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (* (* 0.5 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (* (* (+ 1.0 0.5) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (hypot 1.0 x)) (- (* (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5)))) (* (hypot 1.0 x) (hypot 1.0 x))) (* (* (+ 1.0 0.5) (+ 1.0 0.5)) (* (* 0.5 1.0) (* 0.5 1.0)))) (* (* (+ 1.0 0.5) (+ 1.0 0.5)) (* (hypot 1.0 x) (hypot 1.0 x))) (- (* (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5)))) (hypot 1.0 x)) (* (* (+ 1.0 0.5) (+ 1.0 0.5)) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 1.0)))) (* (* (+ 1.0 0.5) (+ 1.0 0.5)) (hypot 1.0 x)) (- (* (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5)))) (hypot 1.0 x)) (* (* (+ 1.0 0.5) (+ 1.0 0.5)) (* (* 0.5 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (* (* (+ 1.0 0.5) (+ 1.0 0.5)) (hypot 1.0 x)) (- (* (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- (pow 1.0 3) (pow 0.5 3)))) (* (hypot 1.0 x) (hypot 1.0 x))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* (* 0.5 1.0) (* 0.5 1.0)))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* (hypot 1.0 x) (hypot 1.0 x))) (- (* (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- (pow 1.0 3) (pow 0.5 3)))) (hypot 1.0 x)) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 1.0)))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (hypot 1.0 x)) (- (* (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- (pow 1.0 3) (pow 0.5 3)))) (hypot 1.0 x)) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* (* 0.5 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (hypot 1.0 x)) (- (* (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5)))) (* (hypot 1.0 x) (hypot 1.0 x))) (* (+ 1.0 0.5) (* (* 0.5 1.0) (* 0.5 1.0)))) (* (+ 1.0 0.5) (* (hypot 1.0 x) (hypot 1.0 x))) (- (* (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5)))) (hypot 1.0 x)) (* (+ 1.0 0.5) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)) (- (* (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5)))) (hypot 1.0 x)) (* (+ 1.0 0.5) (* (* 0.5 1.0) (* 0.5 (/ 1.0 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x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (/ 0.25 (pow (hypot 1.0 x) 2)) (/ 0.25 (pow (hypot 1.0 x) 2)) (/ 0.25 (pow (hypot 1.0 x) 2)) (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1.791 * * [simplify]: iteration 0 : 959 enodes (cost 3003 ) 1.811 * * [simplify]: iteration 1 : 4979 enodes (cost 2705 ) 1.905 * * [simplify]: iteration 2 : 5001 enodes (cost 2705 ) 1.919 * [simplify]: Simplified to: (exp (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 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(* (+ 1.0 0.5) (hypot 1.0 x))) (* (+ (+ (pow (* 1.0 (- 1.0 0.5)) 4) (* (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (pow (* 0.5 (/ 1.0 (hypot 1.0 x))) 4)) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (- (+ (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (* 1.0 1.0) (neg (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (/ 0.25 (pow (hypot 1.0 x) 2)) (/ 0.25 (pow (hypot 1.0 x) 2)) (/ 0.25 (pow (hypot 1.0 x) 2)) (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1.920 * * * [progress]: adding candidates to table 2.359 * [progress]: [Phase 3 of 3] Extracting. 2.359 * * [regime]: Finding splitpoints for: (# # # # #) 2.362 * * * [regime-changes]: Trying 5 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) x) 2.362 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # #) 2.394 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # #) 2.427 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # #) 2.454 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # # #) 2.484 * * * * [regimes]: Trying to branch on x from (# # # # #) 2.510 * * * [regime]: Found split indices: #