19.472 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.037 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.039 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.040 * * [simplify]: iteration 2 : 28 enodes (cost 6 ) 0.042 * * [simplify]: iteration 3 : 30 enodes (cost 6 ) 0.043 * * [simplify]: iteration 4 : 35 enodes (cost 6 ) 0.044 * * [simplify]: iteration 5 : 37 enodes (cost 6 ) 0.046 * * [simplify]: iteration 6 : 37 enodes (cost 6 ) 0.046 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.059 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.062 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.068 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.076 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.076 * [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 0.077 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.077 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.077 * [taylor]: Taking taylor expansion of 0.5 in x 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.078 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.078 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.079 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.079 * [taylor]: Taking taylor expansion of 0.5 in x 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.080 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.080 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.080 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [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 0.105 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.105 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.105 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.106 * [taylor]: Taking taylor expansion of 0.5 in x 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.107 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.107 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.108 * [taylor]: Taking taylor expansion of 0.5 in x 0.135 * [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 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.136 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.136 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.136 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.136 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.137 * [taylor]: Taking taylor expansion of 0.5 in x 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.138 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.138 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.138 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.139 * [taylor]: Taking taylor expansion of 0.5 in x 0.162 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.162 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.164 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.164 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.166 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.166 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.168 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.168 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.168 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.168 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.168 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.177 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.177 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.187 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.187 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.187 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.187 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.196 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.196 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.196 * [taylor]: Taking taylor expansion of 0.5 in x 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.197 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.197 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.197 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.198 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.198 * [taylor]: Taking taylor expansion of 0.5 in x 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.199 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.199 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.199 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.199 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.199 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.226 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.226 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.226 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.226 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.226 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.226 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.227 * [taylor]: Taking taylor expansion of 0.5 in x 0.228 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.228 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.228 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.228 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.228 * [taylor]: Taking taylor expansion of 1.0 in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.228 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of 1.0 in x 0.229 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.229 * [taylor]: Taking taylor expansion of 0.5 in x 0.249 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.249 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.249 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.249 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.249 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.249 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.250 * [taylor]: Taking taylor expansion of 0.5 in x 0.250 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.251 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.251 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.252 * [taylor]: Taking taylor expansion of 0.5 in x 0.271 * * * [progress]: simplifying candidates 0.272 * [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)))))))) (- (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)))))) (- (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))) (- 1.0) (- (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) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 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)))))) (- 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)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (+ (* 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))) 0.277 * * [simplify]: iteration 0 : 221 enodes (cost 492 ) 0.281 * * [simplify]: iteration 1 : 697 enodes (cost 465 ) 0.292 * * [simplify]: iteration 2 : 2325 enodes (cost 463 ) 0.336 * * [simplify]: iteration 3 : 5001 enodes (cost 463 ) 0.339 * [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))))) (- (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)))))) (- (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))) (- 1.0) (- (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) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 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)))))) (- 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)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 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))) 0.340 * * * [progress]: adding candidates to table 0.495 * * [progress]: iteration 2 / 4 0.495 * * * [progress]: picking best candidate 0.504 * * * * [pick]: Picked # 0.504 * * * [progress]: localizing error 0.520 * * * [progress]: generating rewritten candidates 0.520 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.526 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.529 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.532 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.537 * * * [progress]: generating series expansions 0.537 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.538 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 0.538 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.538 * [taylor]: Taking taylor expansion of 0.5 in x 0.538 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.538 * [taylor]: Taking taylor expansion of 0.5 in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.538 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.539 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.539 * [taylor]: Taking taylor expansion of 0.5 in x 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.539 * [taylor]: Taking taylor expansion of 0.5 in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.539 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.549 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 0.549 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.550 * [taylor]: Taking taylor expansion of 0.5 in x 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.550 * [taylor]: Taking taylor expansion of 0.5 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.550 * [taylor]: Taking taylor expansion of 0.5 in x 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.550 * [taylor]: Taking taylor expansion of 0.5 in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.561 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 0.561 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.561 * [taylor]: Taking taylor expansion of 0.5 in x 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.561 * [taylor]: Taking taylor expansion of 0.5 in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.561 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.561 * [taylor]: Taking taylor expansion of 0.5 in x 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.561 * [taylor]: Taking taylor expansion of 0.5 in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.561 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.571 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.571 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.571 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.571 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.571 * [taylor]: Taking taylor expansion of 1.0 in x 0.571 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.572 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.573 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.575 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.575 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.575 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.577 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.577 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.577 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.577 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.578 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.578 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.578 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.580 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.580 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.580 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.580 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.582 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.582 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 0.582 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.582 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.582 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.582 * [taylor]: Taking taylor expansion of 0.5 in x 0.583 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.583 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.583 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.584 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.584 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.584 * [taylor]: Taking taylor expansion of 0.5 in x 0.585 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.585 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.585 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.586 * [taylor]: Taking taylor expansion of 1.0 in x 0.612 * [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 0.612 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.612 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.612 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.612 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.612 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.612 * [taylor]: Taking taylor expansion of 1.0 in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.612 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.614 * [taylor]: Taking taylor expansion of 0.5 in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.614 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.614 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.614 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.614 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.614 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.615 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.615 * [taylor]: Taking taylor expansion of 0.5 in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.636 * [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 0.636 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.636 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.636 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.636 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.636 * [taylor]: Taking taylor expansion of 1.0 in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.636 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.636 * [taylor]: Taking taylor expansion of 1.0 in x 0.637 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.637 * [taylor]: Taking taylor expansion of 0.5 in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.638 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.638 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.638 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.638 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.638 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.639 * [taylor]: Taking taylor expansion of 0.5 in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.660 * * * [progress]: simplifying candidates 0.661 * [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)))))) (- (* 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 (- 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (- 0.5) 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (- 0.5) 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 0.5 (/ 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))) (- 1.0) (- (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))) (- 1.0) (- (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) (* (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)))))) (- 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)))) (/ 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)) (+ (* (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) 0.667 * * [simplify]: iteration 0 : 306 enodes (cost 616 ) 0.672 * * [simplify]: iteration 1 : 1080 enodes (cost 568 ) 0.694 * * [simplify]: iteration 2 : 4851 enodes (cost 560 ) 0.796 * * [simplify]: iteration 3 : 5001 enodes (cost 560 ) 0.799 * [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)))) (- (* 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)))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 0.5 (/ 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))) (- 1.0) (- (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))) (- 1.0) (- (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) (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)))))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (- 0.5 (/ 0.5 (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)) (/ 1.0 (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) 0.799 * * * [progress]: adding candidates to table 1.043 * * [progress]: iteration 3 / 4 1.043 * * * [progress]: picking best candidate 1.058 * * * * [pick]: Picked # 1.058 * * * [progress]: localizing error 1.082 * * * [progress]: generating rewritten candidates 1.083 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.089 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.092 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.107 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.113 * * * [progress]: generating series expansions 1.113 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.115 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in (x) around 0 1.115 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.115 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.115 * [taylor]: Taking taylor expansion of 0.75 in x 1.115 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.115 * [taylor]: Taking taylor expansion of 0.75 in x 1.115 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.115 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.115 * [taylor]: Taking taylor expansion of 0.75 in x 1.115 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.115 * [taylor]: Taking taylor expansion of 0.75 in x 1.125 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in (x) around 0 1.125 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.125 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.125 * [taylor]: Taking taylor expansion of 0.75 in x 1.125 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of 0.75 in x 1.126 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.126 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.126 * [taylor]: Taking taylor expansion of 0.75 in x 1.126 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.126 * [taylor]: Taking taylor expansion of 0.75 in x 1.136 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in (x) around 0 1.136 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.136 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.136 * [taylor]: Taking taylor expansion of 0.75 in x 1.136 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.136 * [taylor]: Taking taylor expansion of 0.75 in x 1.136 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.136 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.136 * [taylor]: Taking taylor expansion of 0.75 in x 1.136 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.136 * [taylor]: Taking taylor expansion of 0.75 in x 1.145 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.145 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.145 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.145 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.145 * [taylor]: Taking taylor expansion of 1.0 in x 1.145 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.147 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.147 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.147 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.147 * [taylor]: Taking taylor expansion of 1.0 in x 1.147 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.149 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.149 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.151 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.153 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) in (x) around 0 1.153 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) in x 1.153 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.153 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x)) in x 1.153 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.153 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.153 * [taylor]: Taking taylor expansion of 0.75 in x 1.153 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.153 * [taylor]: Taking taylor expansion of 0.75 in x 1.153 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.153 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) in x 1.154 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.154 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x)) in x 1.154 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.154 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.154 * [taylor]: Taking taylor expansion of 0.75 in x 1.154 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.154 * [taylor]: Taking taylor expansion of 0.75 in x 1.154 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.180 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x)))) in (x) around 0 1.180 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x)))) in x 1.180 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.180 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x))) in x 1.180 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.180 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.180 * [taylor]: Taking taylor expansion of 0.75 in x 1.180 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.180 * [taylor]: Taking taylor expansion of 0.75 in x 1.180 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.181 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x)))) in x 1.181 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.181 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x))) in x 1.181 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.181 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.181 * [taylor]: Taking taylor expansion of 0.75 in x 1.181 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.181 * [taylor]: Taking taylor expansion of 0.75 in x 1.181 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.200 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x)))) in (x) around 0 1.200 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x)))) in x 1.200 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.200 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x))) in x 1.200 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.200 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.200 * [taylor]: Taking taylor expansion of 0.75 in x 1.200 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.200 * [taylor]: Taking taylor expansion of 0.75 in x 1.200 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.201 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x)))) in x 1.201 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.201 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x))) in x 1.201 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.201 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.201 * [taylor]: Taking taylor expansion of 0.75 in x 1.201 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.201 * [taylor]: Taking taylor expansion of 0.75 in x 1.201 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.218 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.218 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.218 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.218 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.218 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.218 * [taylor]: Taking taylor expansion of 0.5 in x 1.219 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.219 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.219 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.219 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.220 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.220 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.220 * [taylor]: Taking taylor expansion of 0.5 in x 1.221 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.221 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.221 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.221 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [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 1.245 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.245 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.245 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.245 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.245 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.245 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.246 * [taylor]: Taking taylor expansion of 0.5 in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.247 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.247 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.247 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.247 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.247 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.247 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.248 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.248 * [taylor]: Taking taylor expansion of 0.5 in x 1.249 * [taylor]: Taking taylor expansion of 1.0 in x 1.275 * [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 1.275 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.275 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.275 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.275 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.275 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.275 * [taylor]: Taking taylor expansion of 1.0 in x 1.275 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.275 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.276 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.277 * [taylor]: Taking taylor expansion of 0.5 in x 1.277 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.277 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.277 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.277 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.277 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.277 * [taylor]: Taking taylor expansion of 1.0 in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.277 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.279 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.279 * [taylor]: Taking taylor expansion of 0.5 in x 1.279 * [taylor]: Taking taylor expansion of 1.0 in x 1.300 * * * [progress]: simplifying candidates 1.301 * [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))))) (- (* 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)) (- (* 0.5 (+ 0.5 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))) (- 1.0) (- (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) 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(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)))))) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (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) 1.309 * * [simplify]: iteration 0 : 625 enodes (cost 1165 ) 1.322 * * [simplify]: iteration 1 : 3259 enodes (cost 984 ) 1.373 * * [simplify]: iteration 2 : 5001 enodes (cost 984 ) 1.378 * [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 (+ 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(* 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))) 3) (pow (/ (* 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))) 3) (pow (/ (* 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))) 3) (pow (/ (* 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))) 3) (* (cbrt (/ (* 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)))) (cbrt (/ (* 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))))) (cbrt (/ (* 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 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) 3) (sqrt (/ (* 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)))) (sqrt (/ (* 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)))) (- (* 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))) (/ 1.0 (+ 1.0 0.5)) (/ (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (hypot 1.0 x)) (/ 1 (* (+ 1.0 0.5) (hypot 1.0 x))) (/ (* (+ 1.0 0.5) (hypot 1.0 x)) (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 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)) (/ (* (+ 1.0 0.5) (hypot 1.0 x)) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x))) (/ (* 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))) (* (* (* (+ 1.0 0.5) (hypot 1.0 x)) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5))) (+ (+ (pow 1.0 4) (* (* 1.0 1.0) (* 0.5 0.5))) (pow 0.5 4))) (* (* (* (+ 1.0 0.5) (hypot 1.0 x)) (- 0.5 1.0)) (+ (+ (pow 1.0 4) (* (* 1.0 1.0) (* 0.5 0.5))) (pow 0.5 4))) (* (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5)) (+ (* 1.0 1.0) (* 0.5 0.5))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (* (+ 1.0 0.5) (hypot 1.0 x)) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (- 0.5 1.0))) (* (+ (* (* 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)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (* (+ 1.0 0.5) (hypot 1.0 x)) (+ (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 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)))))) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (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) 1.379 * * * [progress]: adding candidates to table 1.710 * * [progress]: iteration 4 / 4 1.711 * * * [progress]: picking best candidate 1.733 * * * * [pick]: Picked # 1.733 * * * [progress]: localizing error 1.756 * * * [progress]: generating rewritten candidates 1.756 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.763 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.774 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.788 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 2) 1.796 * * * [progress]: generating series expansions 1.796 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.797 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in (x) around 0 1.798 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.798 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.798 * [taylor]: Taking taylor expansion of 0.75 in x 1.798 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.798 * [taylor]: Taking taylor expansion of 0.75 in x 1.798 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.798 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.798 * [taylor]: Taking taylor expansion of 0.75 in x 1.798 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.798 * [taylor]: Taking taylor expansion of 0.75 in x 1.808 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in (x) around 0 1.808 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.808 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.808 * [taylor]: Taking taylor expansion of 0.75 in x 1.808 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.808 * [taylor]: Taking taylor expansion of 0.75 in x 1.808 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.808 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.808 * [taylor]: Taking taylor expansion of 0.75 in x 1.808 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.808 * [taylor]: Taking taylor expansion of 0.75 in x 1.822 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in (x) around 0 1.822 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.822 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.822 * [taylor]: Taking taylor expansion of 0.75 in x 1.822 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.822 * [taylor]: Taking taylor expansion of 0.75 in x 1.822 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.822 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.822 * [taylor]: Taking taylor expansion of 0.75 in x 1.822 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.823 * [taylor]: Taking taylor expansion of 0.75 in x 1.831 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.832 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 1.832 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.832 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.832 * [taylor]: Taking taylor expansion of 0.5 in x 1.832 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.832 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.832 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.833 * [taylor]: Taking taylor expansion of 1.0 in x 1.833 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.833 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.833 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.834 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.834 * [taylor]: Taking taylor expansion of 0.5 in x 1.834 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.834 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.834 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.834 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.856 * [approximate]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) in (x) around 0 1.856 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) in x 1.856 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) in x 1.856 * [taylor]: Taking taylor expansion of (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.856 * [taylor]: Taking taylor expansion of 1.0 in x 1.856 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.856 * [taylor]: Taking taylor expansion of 1.0 in x 1.856 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.856 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.857 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.857 * [taylor]: Taking taylor expansion of 0.5 in x 1.858 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) in x 1.858 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) in x 1.858 * [taylor]: Taking taylor expansion of (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.858 * [taylor]: Taking taylor expansion of 1.0 in x 1.858 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.858 * [taylor]: Taking taylor expansion of 1.0 in x 1.858 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.858 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.859 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.859 * [taylor]: Taking taylor expansion of 0.5 in x 1.879 * [approximate]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) in (x) around 0 1.879 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) in x 1.879 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) in x 1.879 * [taylor]: Taking taylor expansion of (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.879 * [taylor]: Taking taylor expansion of 1.0 in x 1.879 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.879 * [taylor]: Taking taylor expansion of 1.0 in x 1.879 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.879 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.880 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.880 * [taylor]: Taking taylor expansion of 0.5 in x 1.880 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) in x 1.881 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) in x 1.881 * [taylor]: Taking taylor expansion of (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.881 * [taylor]: Taking taylor expansion of 1.0 in x 1.881 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.881 * [taylor]: Taking taylor expansion of 1.0 in x 1.881 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.881 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.882 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.882 * [taylor]: Taking taylor expansion of 0.5 in x 1.907 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.909 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) in (x) around 0 1.909 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) in x 1.909 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.909 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x)) in x 1.909 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.909 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.909 * [taylor]: Taking taylor expansion of 0.75 in x 1.909 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.909 * [taylor]: Taking taylor expansion of 0.75 in x 1.909 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.910 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) in x 1.910 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.910 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x)) in x 1.910 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.910 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.910 * [taylor]: Taking taylor expansion of 0.75 in x 1.910 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.910 * [taylor]: Taking taylor expansion of 0.75 in x 1.910 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.928 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x)))) in (x) around 0 1.928 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x)))) in x 1.928 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.928 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x))) in x 1.928 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.928 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.928 * [taylor]: Taking taylor expansion of 0.75 in x 1.928 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.928 * [taylor]: Taking taylor expansion of 0.75 in x 1.928 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.929 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x)))) in x 1.929 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.929 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x))) in x 1.929 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.929 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.929 * [taylor]: Taking taylor expansion of 0.75 in x 1.929 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.929 * [taylor]: Taking taylor expansion of 0.75 in x 1.929 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.947 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x)))) in (x) around 0 1.947 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x)))) in x 1.947 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.947 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x))) in x 1.947 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.947 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.947 * [taylor]: Taking taylor expansion of 0.75 in x 1.947 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.947 * [taylor]: Taking taylor expansion of 0.75 in x 1.947 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.948 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x)))) in x 1.948 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.948 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x))) in x 1.948 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.948 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.948 * [taylor]: Taking taylor expansion of 0.75 in x 1.948 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.948 * [taylor]: Taking taylor expansion of 0.75 in x 1.948 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.965 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 2) 1.966 * [approximate]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in (x) around 0 1.966 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.966 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.966 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.967 * [approximate]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in (x) around 0 1.967 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.967 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.967 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.967 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.969 * [approximate]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in (x) around 0 1.969 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.969 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.969 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.969 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.971 * * * [progress]: simplifying candidates 1.973 * [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))))) (- (* 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)) (- (* 0.5 (+ 0.5 1.0))) (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (+ (log (sqrt 0.5)) (log (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (log (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (exp (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (cbrt (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (cbrt (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) (cbrt (* (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)))) (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (sqrt (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt 0.5) (* (cbrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (cbrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) (* (sqrt 0.5) (sqrt (* (cbrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (cbrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) (* (sqrt 0.5) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt 0.5) (sqrt 1)) (* (sqrt 0.5) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt 0.5) 1) (* (cbrt (sqrt 0.5)) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt (cbrt 0.5)) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt (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 (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 (+ (pow (* 1.0 (/ 1 (hypot 1.0 x))) 3) (pow 1.0 3)))) (* (sqrt 0.5) (sqrt (- (* (* 1.0 (/ 1 (hypot 1.0 x))) (* 1.0 (/ 1 (hypot 1.0 x)))) (* 1.0 1.0)))) (- (+ (log 1.0) (log (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (+ (log (+ 1.0 0.5)) (log (hypot 1.0 x)))) (- (+ (log 1.0) (log (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (log (* (+ 1.0 0.5) (hypot 1.0 x)))) (- (log (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (+ (log (+ 1.0 0.5)) (log (hypot 1.0 x)))) (- (log (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (log (* (+ 1.0 0.5) (hypot 1.0 x)))) (log (/ (* 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)))) (exp (/ (* 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)))) (/ (* (* (* 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 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) (+ 1.0 0.5)) (+ 1.0 0.5)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)))) (/ (* (* (* 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 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) (hypot 1.0 x)) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (/ (* (* (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 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) (+ 1.0 0.5)) (+ 1.0 0.5)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)))) (/ (* (* (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 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)) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (* (cbrt (/ (* 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)))) (cbrt (/ (* 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))))) (cbrt (/ (* 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)))) (* (* (/ (* 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))) (/ (* 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)))) (/ (* 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)))) (sqrt (/ (* 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)))) (sqrt (/ (* 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)))) (- (* 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))) (/ 1.0 (+ 1.0 0.5)) (/ (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (hypot 1.0 x)) (/ 1 (* (+ 1.0 0.5) (hypot 1.0 x))) (/ (* (+ 1.0 0.5) (hypot 1.0 x)) (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 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)) (/ (* (+ 1.0 0.5) (hypot 1.0 x)) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x))) (/ (* 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))) (* (* (+ 1.0 0.5) (hypot 1.0 x)) (* (+ (* (* 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))))) (* (* (+ 1.0 0.5) (hypot 1.0 x)) (* (+ (* (* 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 0.5) (hypot 1.0 x)) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0))))) (* (* (+ 1.0 0.5) (hypot 1.0 x)) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (- 0.5 1.0))) (* (* (+ 1.0 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))) (+ (* (* 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 0.5) (hypot 1.0 x)) (+ (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (- 1) (- (log (hypot 1.0 x))) (- 0 (log (hypot 1.0 x))) (- (log 1) (log (hypot 1.0 x))) (log (/ 1 (hypot 1.0 x))) (exp (/ 1 (hypot 1.0 x))) (/ (* (* 1 1) 1) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1 (hypot 1.0 x))) (cbrt (/ 1 (hypot 1.0 x)))) (cbrt (/ 1 (hypot 1.0 x))) (* (* (/ 1 (hypot 1.0 x)) (/ 1 (hypot 1.0 x))) (/ 1 (hypot 1.0 x))) (sqrt (/ 1 (hypot 1.0 x))) (sqrt (/ 1 (hypot 1.0 x))) (- 1) (- (hypot 1.0 x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (hypot 1.0 x))) (/ (cbrt 1) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (hypot 1.0 x)) (/ (sqrt 1) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1) (cbrt (hypot 1.0 x))) (/ (sqrt 1) (sqrt (hypot 1.0 x))) (/ (sqrt 1) (sqrt (hypot 1.0 x))) (/ (sqrt 1) 1) (/ (sqrt 1) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1 1) (/ (hypot 1.0 x) (cbrt 1)) (/ (hypot 1.0 x) (sqrt 1)) (/ (hypot 1.0 x) 1) (- (* 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))) (* (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))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (/ 1 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) 1.982 * * [simplify]: iteration 0 : 658 enodes (cost 1344 ) 1.997 * * [simplify]: iteration 1 : 3621 enodes (cost 1158 ) 2.061 * * [simplify]: iteration 2 : 5001 enodes (cost 1144 ) 2.067 * [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)))) (+ (* (- (+ (* (* 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))) (+ (* (- (+ (* (* 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))) (+ (- (* (+ (* 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) (- (* (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)))) (- (* 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)) (- (* 0.5 (+ 0.5 1.0))) (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (log (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (log (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (exp (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) (* (cbrt (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (cbrt (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) (cbrt (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (sqrt (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (sqrt (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt (sqrt 0.5)) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt 0.5) (* (cbrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (cbrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) (* (fabs (cbrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (sqrt 0.5)) (* (sqrt 0.5) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (sqrt 0.5) (* (sqrt 0.5) (sqrt (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (sqrt 0.5) (* (cbrt (sqrt 0.5)) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt (cbrt 0.5)) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt (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 (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 (+ (pow (* 1.0 (/ 1 (hypot 1.0 x))) 3) (pow 1.0 3)))) (* (sqrt 0.5) (sqrt (- (* (* 1.0 (/ 1 (hypot 1.0 x))) (* 1.0 (/ 1 (hypot 1.0 x)))) (* 1.0 1.0)))) (log (/ (* 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)))) (log (/ (* 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)))) (log (/ (* 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)))) (log (/ (* 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)))) (log (/ (* 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)))) (exp (/ (* 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 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) 3) (pow (/ (* 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))) 3) (pow (/ (* 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))) 3) (pow (/ (* 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))) 3) (* (cbrt (/ (* 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)))) (cbrt (/ (* 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))))) (cbrt (/ (* 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 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) 3) (sqrt (/ (* 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)))) (sqrt (/ (* 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)))) (- (* 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))) (/ 1.0 (+ 0.5 1.0)) (/ (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (hypot 1.0 x)) (/ 1 (* (+ 1.0 0.5) (hypot 1.0 x))) (/ (* (+ 1.0 0.5) (hypot 1.0 x)) (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 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)) (/ (* (+ 1.0 0.5) (hypot 1.0 x)) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x))) (/ (* 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))) (* (* (* (+ 1.0 0.5) (hypot 1.0 x)) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5))) (+ (+ (pow 1.0 4) (* (* 1.0 1.0) (* 0.5 0.5))) (pow 0.5 4))) (* (* (* (+ 1.0 0.5) (hypot 1.0 x)) (- 0.5 1.0)) (+ (+ (pow 1.0 4) (* (* 1.0 1.0) (* 0.5 0.5))) (pow 0.5 4))) (* (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5)) (+ (* 1.0 1.0) (* 0.5 0.5))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (* (+ 1.0 0.5) (hypot 1.0 x)) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (- 0.5 1.0))) (* (+ (* (* 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)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (* (+ 1.0 0.5) (hypot 1.0 x)) (+ (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (- 1) (log (/ 1 (hypot 1.0 x))) (log (/ 1 (hypot 1.0 x))) (log (/ 1 (hypot 1.0 x))) (log (/ 1 (hypot 1.0 x))) (exp (/ 1 (hypot 1.0 x))) (/ 1 (pow (hypot 1.0 x) 3)) (* (cbrt (/ 1 (hypot 1.0 x))) (cbrt (/ 1 (hypot 1.0 x)))) (cbrt (/ 1 (hypot 1.0 x))) (/ 1 (pow (hypot 1.0 x) 3)) (sqrt (/ 1 (hypot 1.0 x))) (sqrt (/ 1 (hypot 1.0 x))) (- 1) (- (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) 1 (/ 1 (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) 1 (/ 1 (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) 1 (/ 1 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (hypot 1.0 x) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1 (sqrt (hypot 1.0 x))) 1 (hypot 1.0 x) (hypot 1.0 x) (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))) (* (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))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (/ 1 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) 2.068 * * * [progress]: adding candidates to table 2.635 * [progress]: [Phase 3 of 3] Extracting. 2.635 * * [regime]: Finding splitpoints for: (# # # # # #) 2.637 * * * [regime-changes]: Trying 7 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)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) x) 2.637 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # # #) 2.669 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # # #) 2.701 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 2.721 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # # #) 2.748 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# #) 2.764 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # # # #) 2.790 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# #) 2.806 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # # # #) 2.836 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # # # #) 2.867 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.895 * * * [regime]: Found split indices: #