20.552 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.036 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.037 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.039 * * [simplify]: iteration 2 : 28 enodes (cost 6 ) 0.040 * * [simplify]: iteration 3 : 30 enodes (cost 6 ) 0.041 * * [simplify]: iteration 4 : 35 enodes (cost 6 ) 0.042 * * [simplify]: iteration 5 : 37 enodes (cost 6 ) 0.044 * * [simplify]: iteration 6 : 37 enodes (cost 6 ) 0.044 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.054 * * * [progress]: generating rewritten candidates 0.054 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.064 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2) 0.066 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.073 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.073 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.073 * [taylor]: Taking taylor expansion of 0.5 in x 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.074 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.074 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.074 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.076 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.076 * [taylor]: Taking taylor expansion of 0.5 in x 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.077 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.077 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [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 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.108 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.108 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.108 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.109 * [taylor]: Taking taylor expansion of 0.5 in x 0.110 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.110 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.110 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.111 * [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 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.135 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.135 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.135 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.135 * [taylor]: Taking taylor expansion of 1.0 in x 0.136 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.136 * [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 0.137 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.137 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.137 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.138 * [taylor]: Taking taylor expansion of 0.5 in x 0.162 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.162 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.162 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.162 * [taylor]: Taking taylor expansion of 0.5 in x 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.163 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.163 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.164 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.164 * [taylor]: Taking taylor expansion of 0.5 in x 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.165 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.165 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.194 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.194 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.194 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.195 * [taylor]: Taking taylor expansion of 0.5 in x 0.195 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.195 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.195 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.197 * [taylor]: Taking taylor expansion of 0.5 in x 0.217 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.217 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.217 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.217 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.217 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.217 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.218 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.218 * [taylor]: Taking taylor expansion of 0.5 in x 0.219 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.219 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.219 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.219 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.220 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.220 * [taylor]: Taking taylor expansion of 0.5 in x 0.240 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2) 0.240 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.240 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.240 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.240 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.242 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.242 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.242 * [taylor]: Taking taylor expansion of 1.0 in x 0.242 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.244 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.244 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.244 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.244 * [taylor]: Taking taylor expansion of 1.0 in x 0.244 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.246 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.246 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.246 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.246 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.246 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.246 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.246 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.255 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.255 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.255 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.255 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.255 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.269 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.269 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.269 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.270 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.270 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.270 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * * * [progress]: simplifying candidates 0.280 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 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))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (+ (* 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) 0.286 * * [simplify]: iteration 0 : 221 enodes (cost 492 ) 0.290 * * [simplify]: iteration 1 : 697 enodes (cost 465 ) 0.300 * * [simplify]: iteration 2 : 2323 enodes (cost 463 ) 0.345 * * [simplify]: iteration 3 : 5001 enodes (cost 463 ) 0.348 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 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))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.348 * * * [progress]: adding candidates to table 0.507 * * [progress]: iteration 2 / 4 0.507 * * * [progress]: picking best candidate 0.514 * * * * [pick]: Picked # 0.514 * * * [progress]: localizing error 0.527 * * * [progress]: generating rewritten candidates 0.527 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.533 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.535 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 0.537 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.541 * * * [progress]: generating series expansions 0.541 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.542 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.542 * [taylor]: Taking taylor expansion of 0.5 in x 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.542 * [taylor]: Taking taylor expansion of 0.5 in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.542 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.542 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.542 * [taylor]: Taking taylor expansion of 0.5 in x 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.542 * [taylor]: Taking taylor expansion of 0.5 in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.542 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.553 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 0.553 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.553 * [taylor]: Taking taylor expansion of 0.5 in x 0.553 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.553 * [taylor]: Taking taylor expansion of 0.5 in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.553 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.553 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.553 * [taylor]: Taking taylor expansion of 0.5 in x 0.553 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.553 * [taylor]: Taking taylor expansion of 0.5 in x 0.553 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.553 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.564 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.564 * [taylor]: Taking taylor expansion of 0.5 in x 0.564 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.564 * [taylor]: Taking taylor expansion of 0.5 in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.564 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.565 * [taylor]: Taking taylor expansion of 0.5 in x 0.565 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.565 * [taylor]: Taking taylor expansion of 0.5 in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.565 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.579 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.579 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 0.579 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.579 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.579 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.579 * [taylor]: Taking taylor expansion of 0.5 in x 0.580 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.580 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.580 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.581 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.581 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.581 * [taylor]: Taking taylor expansion of 0.5 in x 0.582 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.582 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.582 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.582 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [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 0.606 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.606 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.606 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.606 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.606 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.606 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.607 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.607 * [taylor]: Taking taylor expansion of 0.5 in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.608 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.608 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.608 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.608 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.609 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.609 * [taylor]: Taking taylor expansion of 0.5 in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [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 0.630 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.630 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.630 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.630 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.630 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.631 * [taylor]: Taking taylor expansion of 0.5 in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.632 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.632 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.632 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.632 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.632 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.632 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.633 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.633 * [taylor]: Taking taylor expansion of 0.5 in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.661 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 0.662 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.662 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.663 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.663 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.663 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.663 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.665 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.665 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.665 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.667 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 0.667 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.667 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.667 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.668 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.668 * [taylor]: Taking taylor expansion of 1.0 in x 0.668 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.669 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.669 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.669 * [taylor]: Taking taylor expansion of 1.0 in x 0.669 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.669 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.669 * [taylor]: Taking taylor expansion of 1.0 in x 0.669 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.671 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.671 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.671 * [taylor]: Taking taylor expansion of 1.0 in x 0.671 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.671 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.671 * [taylor]: Taking taylor expansion of 1.0 in x 0.671 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.673 * * * [progress]: simplifying candidates 0.675 * [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)))) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 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) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 0.680 * * [simplify]: iteration 0 : 306 enodes (cost 616 ) 0.686 * * [simplify]: iteration 1 : 1080 enodes (cost 568 ) 0.708 * * [simplify]: iteration 2 : 4851 enodes (cost 560 ) 0.810 * * [simplify]: iteration 3 : 5001 enodes (cost 560 ) 0.813 * [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)))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 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) (- 0.5 (/ 0.5 (hypot 1.0 x))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 0.814 * * * [progress]: adding candidates to table 1.058 * * [progress]: iteration 3 / 4 1.058 * * * [progress]: picking best candidate 1.072 * * * * [pick]: Picked # 1.072 * * * [progress]: localizing error 1.088 * * * [progress]: generating rewritten candidates 1.088 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.097 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.116 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 2) 1.122 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 1.131 * * * [progress]: generating series expansions 1.131 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.133 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)))) in (x) around 0 1.133 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)))) in x 1.133 * [taylor]: Taking taylor expansion of 0.5 in x 1.133 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x))) in x 1.133 * [taylor]: Taking taylor expansion of 0.5 in x 1.133 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)) in x 1.133 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.133 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.135 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)))) in x 1.135 * [taylor]: Taking taylor expansion of 0.5 in x 1.135 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x))) in x 1.135 * [taylor]: Taking taylor expansion of 0.5 in x 1.135 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)) in x 1.135 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.135 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.135 * [taylor]: Taking taylor expansion of 1.0 in x 1.136 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.168 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))))) in (x) around 0 1.168 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))))) in x 1.168 * [taylor]: Taking taylor expansion of 0.5 in x 1.168 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x)))) in x 1.168 * [taylor]: Taking taylor expansion of 0.5 in x 1.168 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))) in x 1.168 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.168 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.168 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.170 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))))) in x 1.170 * [taylor]: Taking taylor expansion of 0.5 in x 1.170 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x)))) in x 1.171 * [taylor]: Taking taylor expansion of 0.5 in x 1.171 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))) in x 1.171 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.171 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.171 * [taylor]: Taking taylor expansion of 1.0 in x 1.171 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.203 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))))) in (x) around 0 1.203 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))))) in x 1.203 * [taylor]: Taking taylor expansion of 0.5 in x 1.203 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x)))) in x 1.203 * [taylor]: Taking taylor expansion of 0.5 in x 1.203 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))) in x 1.203 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.203 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.209 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))))) in x 1.211 * [taylor]: Taking taylor expansion of 0.5 in x 1.211 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x)))) in x 1.211 * [taylor]: Taking taylor expansion of 0.5 in x 1.211 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))) in x 1.211 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.211 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.211 * [taylor]: Taking taylor expansion of 1.0 in x 1.212 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.242 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.242 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)) in (x) around 0 1.242 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)) in x 1.242 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.242 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.242 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.244 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)) in x 1.244 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.245 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.261 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))) in (x) around 0 1.261 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))) in x 1.261 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.261 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.261 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.264 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))) in x 1.264 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.264 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.264 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.281 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))) in (x) around 0 1.281 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))) in x 1.281 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.281 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.281 * [taylor]: Taking taylor expansion of 1.0 in x 1.282 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.283 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))) in x 1.284 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.284 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.307 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 2) 1.307 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) in (x) around 0 1.307 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) in x 1.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 x))) in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.308 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.308 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.308 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) in x 1.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 x))) in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.309 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.309 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.322 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) (sqrt 1.0)) in (x) around 0 1.322 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) (sqrt 1.0)) in x 1.322 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.322 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.322 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.322 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.322 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) (sqrt 1.0)) in x 1.323 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.323 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.324 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.324 * [taylor]: Taking taylor expansion of 1.0 in x 1.336 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 1.337 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.337 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.337 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.337 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.338 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.338 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.338 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.353 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 1.353 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) in (x) around 0 1.353 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) in x 1.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 x))) in x 1.353 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.353 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.354 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.354 * [taylor]: Taking taylor expansion of 1.0 in x 1.354 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) in x 1.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 x))) in x 1.354 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.354 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.355 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.355 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) (sqrt 1.0)) in (x) around 0 1.367 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) (sqrt 1.0)) in x 1.367 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.367 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.368 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.368 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) (sqrt 1.0)) in x 1.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.369 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.369 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.382 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 1.382 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.382 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.382 * [taylor]: Taking taylor expansion of 1.0 in x 1.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.383 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.383 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.383 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.383 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.383 * [taylor]: Taking taylor expansion of 1.0 in x 1.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.384 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.384 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.405 * * * [progress]: simplifying candidates 1.409 * [simplify]: Simplifying using # : (/ (exp (* 1.0 (- 1.0 0.5))) (exp (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (* (* (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 (* (sqrt 1.0) (sqrt 1.0))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (sqrt (hypot 1.0 x))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (sqrt (hypot 1.0 x))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (sqrt (hypot 1.0 x))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 (* (sqrt 1.0) (sqrt (/ 1.0 (hypot 1.0 x))))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (sqrt (hypot 1.0 x))) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)))) (* (+ 1.0 0.5) (* 0.5 (* (sqrt 1.0) (sqrt 1.0))))) (* (+ 1.0 0.5) (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)))) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (sqrt (hypot 1.0 x))) (* (+ 1.0 0.5) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0))))) (* (+ 1.0 0.5) (sqrt (hypot 1.0 x))) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (sqrt (hypot 1.0 x))) (* (+ 1.0 0.5) (* 0.5 (* (sqrt 1.0) (sqrt (/ 1.0 (hypot 1.0 x))))))) (* (+ 1.0 0.5) (sqrt (hypot 1.0 x))) (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (+ (* (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (* (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))))) (- (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* (- 0.5) 1.0) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* (- 0.5) 1.0) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 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)) (/ 1.0 (hypot 1.0 x))) (+ 1 1) (+ (log (sqrt (/ 1.0 (hypot 1.0 x)))) (log (sqrt (/ 1.0 (hypot 1.0 x))))) (log (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (exp (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* (* (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* (cbrt (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (cbrt (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (cbrt (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* (* (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 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)) (/ 1.0 (hypot 1.0 x))) (sqrt (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (sqrt (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x))) (* (* (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x))))) (sqrt (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (cbrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (* (sqrt (/ (cbrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (cbrt 1.0) (cbrt (hypot 1.0 x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))))) (* (sqrt (/ (cbrt 1.0) (sqrt (hypot 1.0 x)))) (sqrt (/ (cbrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (hypot 1.0 x))) (sqrt (/ (cbrt 1.0) (hypot 1.0 x)))) (* (sqrt (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))) (sqrt (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (* (sqrt (/ (sqrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (cbrt (hypot 1.0 x))))) (* (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (hypot 1.0 x))) (sqrt (/ (sqrt 1.0) (hypot 1.0 x)))) (* (sqrt (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))) (sqrt (/ 1 (* (cbrt (hypot 1.0 x)) 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x))) (sqrt 1.0)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) 1.418 * * [simplify]: iteration 0 : 413 enodes (cost 1304 ) 1.427 * * [simplify]: iteration 1 : 1998 enodes (cost 1163 ) 1.472 * * [simplify]: iteration 2 : 5002 enodes (cost 1134 ) 1.478 * [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 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 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 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 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 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 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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 (/ 1.0 (hypot 1.0 x)) 1.0 (/ 1 (hypot 1.0 x)) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) 1 2 1 (* (sqrt (/ 1.0 (hypot 1.0 x))) (* (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))))) (* (fabs (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (pow (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) 3) (* (sqrt (/ 1.0 (hypot 1.0 x))) (fabs (/ (cbrt 1.0) (cbrt (hypot 1.0 x))))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (fabs (cbrt 1.0))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (pow (sqrt 1.0) 1/2)) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1 (sqrt (hypot 1.0 x))))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0)) (pow (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (pow (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) 4) (* (sqrt (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (pow (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) 3) (* (sqrt (/ (cbrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ (cbrt 1.0) (sqrt (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ (cbrt 1.0) (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ (sqrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (/ (sqrt 1.0) (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ 1.0 (cbrt (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ 1.0 (sqrt (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (pow (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) 3) (/ 1.0 (hypot 1.0 x)) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0)) (log (sqrt (/ 1.0 (hypot 1.0 x)))) (exp (sqrt (/ 1.0 (hypot 1.0 x)))) (* (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x))))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (pow (sqrt (/ 1.0 (hypot 1.0 x))) 3) (fabs (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (fabs (/ (cbrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (cbrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x)))) (sqrt (/ (cbrt 1.0) (sqrt (hypot 1.0 x)))) (fabs (cbrt 1.0)) (sqrt (/ (cbrt 1.0) (hypot 1.0 x))) (fabs (/ (sqrt (/ (sqrt 1.0) 1)) (cbrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x)))) (pow (sqrt 1.0) 1/2) (sqrt (/ (sqrt 1.0) (hypot 1.0 x))) (fabs (/ 1 (cbrt (hypot 1.0 x)))) (sqrt (/ 1.0 (cbrt (hypot 1.0 x)))) (sqrt (/ 1 (sqrt (hypot 1.0 x)))) (sqrt (/ 1.0 (sqrt (hypot 1.0 x)))) 1 (sqrt (/ 1.0 (hypot 1.0 x))) 1 (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0) (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0) (sqrt (hypot 1.0 x)) 1/2 (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (log (sqrt (/ 1.0 (hypot 1.0 x)))) (exp (sqrt (/ 1.0 (hypot 1.0 x)))) (* (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x))))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (pow (sqrt (/ 1.0 (hypot 1.0 x))) 3) (fabs (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (fabs (/ (cbrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (cbrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x)))) (sqrt (/ (cbrt 1.0) (sqrt (hypot 1.0 x)))) (fabs (cbrt 1.0)) (sqrt (/ (cbrt 1.0) (hypot 1.0 x))) (fabs (/ (sqrt (/ (sqrt 1.0) 1)) (cbrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x)))) (pow (sqrt 1.0) 1/2) (sqrt (/ (sqrt 1.0) (hypot 1.0 x))) (fabs (/ 1 (cbrt (hypot 1.0 x)))) (sqrt (/ 1.0 (cbrt (hypot 1.0 x)))) (sqrt (/ 1 (sqrt (hypot 1.0 x)))) (sqrt (/ 1.0 (sqrt (hypot 1.0 x)))) 1 (sqrt (/ 1.0 (hypot 1.0 x))) 1 (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0) (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0) (sqrt (hypot 1.0 x)) 1/2 (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (+ 0.5 (- (/ (* 0.5 1.0) (hypot 1.0 x)))) (+ 0.5 (- (/ (* 0.5 1.0) (hypot 1.0 x)))) (+ 0.5 (- (/ (* 0.5 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 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) 1.479 * * * [progress]: adding candidates to table 1.956 * * [progress]: iteration 4 / 4 1.956 * * * [progress]: picking best candidate 1.971 * * * * [pick]: Picked # 1.971 * * * [progress]: localizing error 1.991 * * * [progress]: generating rewritten candidates 1.991 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.003 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 2) 2.022 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.037 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 2 2) 2.046 * * * [progress]: generating series expansions 2.046 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.047 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)))) in (x) around 0 2.048 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)))) in x 2.048 * [taylor]: Taking taylor expansion of 0.5 in x 2.048 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x))) in x 2.048 * [taylor]: Taking taylor expansion of 0.5 in x 2.048 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)) in x 2.048 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.048 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.048 * [taylor]: Taking taylor expansion of 1.0 in x 2.048 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.050 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)))) in x 2.050 * [taylor]: Taking taylor expansion of 0.5 in x 2.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x))) in x 2.050 * [taylor]: Taking taylor expansion of 0.5 in x 2.050 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)) in x 2.050 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.050 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.050 * [taylor]: Taking taylor expansion of 1.0 in x 2.051 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.087 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))))) in (x) around 0 2.087 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))))) in x 2.087 * [taylor]: Taking taylor expansion of 0.5 in x 2.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x)))) in x 2.088 * [taylor]: Taking taylor expansion of 0.5 in x 2.088 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))) in x 2.088 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.088 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.088 * [taylor]: Taking taylor expansion of 1.0 in x 2.088 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.090 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))))) in x 2.090 * [taylor]: Taking taylor expansion of 0.5 in x 2.090 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x)))) in x 2.090 * [taylor]: Taking taylor expansion of 0.5 in x 2.090 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))) in x 2.090 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.090 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.091 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.122 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))))) in (x) around 0 2.122 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))))) in x 2.122 * [taylor]: Taking taylor expansion of 0.5 in x 2.122 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x)))) in x 2.122 * [taylor]: Taking taylor expansion of 0.5 in x 2.122 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))) in x 2.122 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.122 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.122 * [taylor]: Taking taylor expansion of 1.0 in x 2.123 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.125 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))))) in x 2.125 * [taylor]: Taking taylor expansion of 0.5 in x 2.125 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x)))) in x 2.125 * [taylor]: Taking taylor expansion of 0.5 in x 2.125 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))) in x 2.125 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.125 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.125 * [taylor]: Taking taylor expansion of 1.0 in x 2.126 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.156 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 2) 2.157 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)) in (x) around 0 2.157 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)) in x 2.157 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.157 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.157 * [taylor]: Taking taylor expansion of 1.0 in x 2.157 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.159 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)) in x 2.159 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.159 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.159 * [taylor]: Taking taylor expansion of 1.0 in x 2.160 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.182 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))) in (x) around 0 2.182 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))) in x 2.182 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.182 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.182 * [taylor]: Taking taylor expansion of 1.0 in x 2.183 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.184 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))) in x 2.185 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.185 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.185 * [taylor]: Taking taylor expansion of 1.0 in x 2.185 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.202 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))) in (x) around 0 2.202 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))) in x 2.202 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.202 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.202 * [taylor]: Taking taylor expansion of 1.0 in x 2.203 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.205 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))) in x 2.205 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.205 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.205 * [taylor]: Taking taylor expansion of 1.0 in x 2.205 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.222 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.223 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)))) in (x) around 0 2.223 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)))) in x 2.223 * [taylor]: Taking taylor expansion of 0.5 in x 2.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x))) in x 2.223 * [taylor]: Taking taylor expansion of 0.5 in x 2.223 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)) in x 2.223 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.223 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.223 * [taylor]: Taking taylor expansion of 1.0 in x 2.224 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.225 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)))) in x 2.225 * [taylor]: Taking taylor expansion of 0.5 in x 2.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 x))) in x 2.225 * [taylor]: Taking taylor expansion of 0.5 in x 2.225 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 x)) in x 2.225 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.225 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.225 * [taylor]: Taking taylor expansion of 1.0 in x 2.226 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.265 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))))) in (x) around 0 2.265 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))))) in x 2.265 * [taylor]: Taking taylor expansion of 0.5 in x 2.265 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x)))) in x 2.265 * [taylor]: Taking taylor expansion of 0.5 in x 2.265 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))) in x 2.265 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.265 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.265 * [taylor]: Taking taylor expansion of 1.0 in x 2.266 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.267 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))))) in x 2.267 * [taylor]: Taking taylor expansion of 0.5 in x 2.267 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x)))) in x 2.267 * [taylor]: Taking taylor expansion of 0.5 in x 2.268 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ 1 x))) in x 2.268 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.268 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.268 * [taylor]: Taking taylor expansion of 1.0 in x 2.268 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.302 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))))) in (x) around 0 2.302 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))))) in x 2.302 * [taylor]: Taking taylor expansion of 0.5 in x 2.302 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x)))) in x 2.302 * [taylor]: Taking taylor expansion of 0.5 in x 2.302 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))) in x 2.302 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.302 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.302 * [taylor]: Taking taylor expansion of 1.0 in x 2.303 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.305 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))))) in x 2.305 * [taylor]: Taking taylor expansion of 0.5 in x 2.305 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x)))) in x 2.305 * [taylor]: Taking taylor expansion of 0.5 in x 2.305 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (hypot 1.0 (/ -1 x))) in x 2.305 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.305 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.305 * [taylor]: Taking taylor expansion of 1.0 in x 2.305 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.336 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 2 2) 2.336 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) in (x) around 0 2.336 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) in x 2.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 x))) in x 2.337 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.337 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.337 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.337 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) in x 2.338 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 x))) in x 2.338 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.338 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.338 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.357 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) (sqrt 1.0)) in (x) around 0 2.357 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) (sqrt 1.0)) in x 2.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.357 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.357 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.358 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.358 * [taylor]: Taking taylor expansion of 1.0 in x 2.359 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) (sqrt 1.0)) in x 2.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.359 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.359 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.359 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.359 * [taylor]: Taking taylor expansion of 1.0 in x 2.372 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 2.372 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (hypot 1.0 (/ -1 x))))) in x 2.372 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.372 * [taylor]: Taking taylor expansion of 1.0 in x 2.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.373 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.373 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.373 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (hypot 1.0 (/ -1 x))))) in x 2.373 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.373 * [taylor]: Taking taylor expansion of 1.0 in x 2.374 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.374 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.374 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.390 * * * [progress]: simplifying candidates 2.395 * [simplify]: Simplifying using # : (/ (exp (* 1.0 (- 1.0 0.5))) (exp (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (* (* (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 (* (sqrt 1.0) (sqrt 1.0))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (sqrt (hypot 1.0 x))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (sqrt (hypot 1.0 x))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (sqrt (hypot 1.0 x))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 (* (sqrt 1.0) (sqrt (/ 1.0 (hypot 1.0 x))))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (sqrt (hypot 1.0 x))) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)))) (* (+ 1.0 0.5) (* 0.5 (* (sqrt 1.0) (sqrt 1.0))))) (* (+ 1.0 0.5) (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)))) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (sqrt (hypot 1.0 x))) (* (+ 1.0 0.5) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0))))) (* (+ 1.0 0.5) (sqrt (hypot 1.0 x))) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (sqrt (hypot 1.0 x))) (* (+ 1.0 0.5) (* 0.5 (* (sqrt 1.0) (sqrt (/ 1.0 (hypot 1.0 x))))))) (* (+ 1.0 0.5) (sqrt (hypot 1.0 x))) (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (+ (* (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (* (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))))) (- (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* (- 0.5) 1.0) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* (- 0.5) 1.0) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (- (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 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)) (/ 1.0 (hypot 1.0 x))) (+ 1 1) (+ (log (sqrt (/ 1.0 (hypot 1.0 x)))) (log (sqrt (/ 1.0 (hypot 1.0 x))))) (log (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (exp (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* (* (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* (cbrt (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (cbrt (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (cbrt (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* (* (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 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)) (/ 1.0 (hypot 1.0 x))) (sqrt (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (sqrt (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x))) (* (* (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x))))) (sqrt (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))))) (* (sqrt (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (cbrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (* (sqrt (/ (cbrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (cbrt 1.0) (cbrt (hypot 1.0 x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))))) (* (sqrt (/ (cbrt 1.0) (sqrt (hypot 1.0 x)))) (sqrt (/ (cbrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (hypot 1.0 x))) (sqrt (/ (cbrt 1.0) (hypot 1.0 x)))) (* (sqrt (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))) (sqrt (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (* (sqrt (/ (sqrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (cbrt (hypot 1.0 x))))) (* (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (hypot 1.0 x))) (sqrt (/ (sqrt 1.0) (hypot 1.0 x)))) (* (sqrt (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))) (sqrt (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (* (sqrt (/ 1.0 (cbrt (hypot 1.0 x)))) (sqrt (/ 1.0 (cbrt (hypot 1.0 x))))) (* (sqrt (/ 1 (sqrt (hypot 1.0 x)))) (sqrt (/ 1 (sqrt (hypot 1.0 x))))) (* (sqrt (/ 1.0 (sqrt (hypot 1.0 x)))) (sqrt (/ 1.0 (sqrt (hypot 1.0 x))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt (/ 1 (hypot 1.0 x)))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* 1 1) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (sqrt (/ 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(cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1 (sqrt (hypot 1.0 x))))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1)) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x))))) (* (sqrt (/ 1.0 (hypot 1.0 x))) 1) (* (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ (cbrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ (cbrt 1.0) (sqrt (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ (cbrt 1.0) (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ (sqrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ (sqrt 1.0) (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ 1.0 (cbrt (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ 1.0 (sqrt (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))) (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt 1.0) (sqrt (/ 1.0 (hypot 1.0 x)))) (exp 1) (exp (* (cbrt (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))))) (cbrt (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))))))) (exp (sqrt (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))))) (exp 1) (exp (log (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))))))) (exp (log (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))))) (exp (log (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))))) (exp (log (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))))) (exp (log 1)) (exp (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))))) (exp (log (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (* (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)))) (* (+ (* 1.0 1.0) (+ 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(* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0))))))) (exp (log (* (+ 1.0 0.5) (sqrt (hypot 1.0 x))))) (exp (log (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (sqrt (hypot 1.0 x))) (* (+ 1.0 0.5) (* 0.5 (* (sqrt 1.0) (sqrt (/ 1.0 (hypot 1.0 x))))))))) (exp (log (* (+ 1.0 0.5) (sqrt (hypot 1.0 x))))) (exp (log (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) 3)))) (exp (log (+ (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (+ (* (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))) (* (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x)))))))))) (exp (log (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))))) (exp (log (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) 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(sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) 2.405 * * [simplify]: iteration 0 : 478 enodes (cost 1580 ) 2.414 * * [simplify]: iteration 1 : 2132 enodes (cost 1401 ) 2.460 * * [simplify]: iteration 2 : 5001 enodes (cost 1345 ) 2.467 * [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 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (exp (- (* 1.0 (- 1.0 0.5)) (/ (* 0.5 1.0) (hypot 1.0 x)))) (pow (exp 2) (log (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 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 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 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(cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 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 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (* (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))))))) (log (sqrt (/ 1.0 (hypot 1.0 x)))) (exp (sqrt (/ 1.0 (hypot 1.0 x)))) (* (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x))))) (cbrt (sqrt (/ 1.0 (hypot 1.0 x)))) (pow (sqrt (/ 1.0 (hypot 1.0 x))) 3) (fabs (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (fabs (/ (cbrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (cbrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x)))) (sqrt (/ (cbrt 1.0) (sqrt (hypot 1.0 x)))) (fabs (cbrt 1.0)) (sqrt (/ (cbrt 1.0) (hypot 1.0 x))) (fabs (/ (sqrt (/ (sqrt 1.0) 1)) (cbrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (cbrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x)))) (sqrt (/ (sqrt 1.0) (sqrt (hypot 1.0 x)))) (pow (sqrt 1.0) 1/2) (sqrt (/ (sqrt 1.0) (hypot 1.0 x))) (fabs (/ 1 (cbrt (hypot 1.0 x)))) (sqrt (/ 1.0 (cbrt (hypot 1.0 x)))) (sqrt (/ 1 (sqrt (hypot 1.0 x)))) (sqrt (/ 1.0 (sqrt (hypot 1.0 x)))) 1 (sqrt (/ 1.0 (hypot 1.0 x))) 1 (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt 1.0) (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0) (sqrt (hypot 1.0 x)) 1/2 (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (sqrt (sqrt (/ 1.0 (hypot 1.0 x)))) (+ 0.5 (- (/ (* 0.5 1.0) (hypot 1.0 x)))) (+ 0.5 (- (/ (* 0.5 1.0) (hypot 1.0 x)))) (+ 0.5 (- (/ (* 0.5 1.0) (hypot 1.0 x)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (+ 0.5 (- (/ (* 0.5 1.0) (hypot 1.0 x)))) (+ 0.5 (- (/ (* 0.5 1.0) (hypot 1.0 x)))) (+ 0.5 (- (/ (* 0.5 1.0) (hypot 1.0 x)))) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) (* (sqrt (/ 1 (hypot 1.0 x))) (sqrt 1.0)) 2.468 * * * [progress]: adding candidates to table 2.977 * [progress]: [Phase 3 of 3] Extracting. 2.977 * * [regime]: Finding splitpoints for: (# # # # #) 2.983 * * * [regime-changes]: Trying 3 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) x) 2.983 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # #) 3.010 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # #) 3.041 * * * * [regimes]: Trying to branch on x from (# # # # #) 3.068 * * * [regime]: Found split indices: #