17.077 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.062 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.066 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.068 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.070 * * [simplify]: iteration 2 : 28 enodes (cost 6 ) 0.072 * * [simplify]: iteration 3 : 30 enodes (cost 6 ) 0.074 * * [simplify]: iteration 4 : 35 enodes (cost 6 ) 0.076 * * [simplify]: iteration 5 : 37 enodes (cost 6 ) 0.078 * * [simplify]: iteration 6 : 37 enodes (cost 6 ) 0.079 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.079 * * [progress]: iteration 1 / 4 0.079 * * * [progress]: picking best candidate 0.082 * * * * [pick]: Picked # 0.082 * * * [progress]: localizing error 0.102 * * * [progress]: generating rewritten candidates 0.102 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.107 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.110 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.116 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.124 * * * [progress]: generating series expansions 0.124 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.124 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.124 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.124 * [taylor]: Taking taylor expansion of 0.5 in x 0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.125 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.125 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.125 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.127 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.127 * [taylor]: Taking taylor expansion of 0.5 in x 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.128 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.128 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.128 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [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 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.151 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.151 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.152 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.153 * [taylor]: Taking taylor expansion of 0.5 in x 0.153 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.153 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.153 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.153 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.154 * [taylor]: Taking taylor expansion of 0.5 in x 0.176 * [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 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.176 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.176 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.181 * [taylor]: Taking taylor expansion of 0.5 in x 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.182 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.182 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.182 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.183 * [taylor]: Taking taylor expansion of 0.5 in x 0.205 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.205 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.205 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.207 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.207 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.209 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.209 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.209 * [taylor]: Taking taylor expansion of 1.0 in x 0.209 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.211 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.211 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.211 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.211 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.211 * [taylor]: Taking taylor expansion of 0.5 in x 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.212 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.212 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.212 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.213 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.213 * [taylor]: Taking taylor expansion of 0.5 in x 0.213 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.213 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.214 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.214 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.234 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.234 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.234 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.234 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.234 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.234 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.235 * [taylor]: Taking taylor expansion of 0.5 in x 0.236 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.236 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.236 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.236 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.237 * [taylor]: Taking taylor expansion of 0.5 in x 0.256 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.256 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.256 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.256 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.256 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.256 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.257 * [taylor]: Taking taylor expansion of 0.5 in x 0.258 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.258 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.258 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.258 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.259 * [taylor]: Taking taylor expansion of 0.5 in x 0.281 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.281 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.281 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.281 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.281 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.289 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.289 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.289 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of 1.0 in x 0.289 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.290 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.298 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.298 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.298 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.307 * * * [progress]: simplifying candidates 0.308 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (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)))))) (* (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)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* 1.0 (/ 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) 0.313 * * [simplify]: iteration 0 : 221 enodes (cost 492 ) 0.317 * * [simplify]: iteration 1 : 697 enodes (cost 465 ) 0.329 * * [simplify]: iteration 2 : 2325 enodes (cost 463 ) 0.375 * * [simplify]: iteration 3 : 5001 enodes (cost 463 ) 0.379 * [simplify]: Simplified to: (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (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)))))) (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)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.380 * * * [progress]: adding candidates to table 0.519 * * [progress]: iteration 2 / 4 0.519 * * * [progress]: picking best candidate 0.525 * * * * [pick]: Picked # 0.525 * * * [progress]: localizing error 0.538 * * * [progress]: generating rewritten candidates 0.538 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.547 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.550 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 0.553 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.558 * * * [progress]: generating series expansions 0.558 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.559 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 0.559 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.559 * [taylor]: Taking taylor expansion of 0.5 in x 0.559 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.559 * [taylor]: Taking taylor expansion of 0.5 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.559 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.559 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.559 * [taylor]: Taking taylor expansion of 0.5 in x 0.559 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.560 * [taylor]: Taking taylor expansion of 0.5 in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.560 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.569 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 0.569 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.569 * [taylor]: Taking taylor expansion of 0.5 in x 0.569 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.569 * [taylor]: Taking taylor expansion of 0.5 in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.569 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.570 * [taylor]: Taking taylor expansion of 0.5 in x 0.570 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.570 * [taylor]: Taking taylor expansion of 0.5 in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.570 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.580 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 0.580 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.580 * [taylor]: Taking taylor expansion of 0.5 in x 0.580 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.580 * [taylor]: Taking taylor expansion of 0.5 in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.580 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.580 * [taylor]: Taking taylor expansion of 0.5 in x 0.580 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.580 * [taylor]: Taking taylor expansion of 0.5 in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.580 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.590 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.590 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 0.590 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.590 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.590 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.590 * [taylor]: Taking taylor expansion of 0.5 in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.591 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.591 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.591 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.592 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.592 * [taylor]: Taking taylor expansion of 0.5 in x 0.593 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.593 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.593 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.593 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.594 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [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 0.616 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.616 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.616 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.616 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.616 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.616 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.617 * [taylor]: Taking taylor expansion of 0.5 in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.618 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.618 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.618 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.619 * [taylor]: Taking taylor expansion of 0.5 in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [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 0.643 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.643 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.643 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.644 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.644 * [taylor]: Taking taylor expansion of 1.0 in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.644 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.644 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.645 * [taylor]: Taking taylor expansion of 0.5 in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.645 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.645 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.645 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.645 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.645 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.647 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.647 * [taylor]: Taking taylor expansion of 0.5 in x 0.647 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 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 0.667 * [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 0.669 * [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 0.672 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 0.673 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.673 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.673 * [taylor]: Taking taylor expansion of 1.0 in x 0.673 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.673 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.673 * [taylor]: Taking taylor expansion of 1.0 in x 0.673 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.674 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.674 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.676 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.676 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.676 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.678 * * * [progress]: simplifying candidates 0.679 * [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)) 0.685 * * [simplify]: iteration 0 : 306 enodes (cost 616 ) 0.691 * * [simplify]: iteration 1 : 1080 enodes (cost 568 ) 0.713 * * [simplify]: iteration 2 : 4851 enodes (cost 560 ) 0.814 * * [simplify]: iteration 3 : 5001 enodes (cost 560 ) 0.818 * [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)) 0.818 * * * [progress]: adding candidates to table 1.017 * * [progress]: iteration 3 / 4 1.017 * * * [progress]: picking best candidate 1.028 * * * * [pick]: Picked # 1.028 * * * [progress]: localizing error 1.045 * * * [progress]: generating rewritten candidates 1.045 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 1.050 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.058 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.061 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 1.067 * * * [progress]: generating series expansions 1.067 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 1.067 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.067 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.067 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.069 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.069 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.069 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.069 * [taylor]: Taking taylor expansion of 1.0 in x 1.069 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.071 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.071 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.071 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.071 * [taylor]: Taking taylor expansion of 1.0 in x 1.071 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.073 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.074 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 1.074 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.074 * [taylor]: Taking taylor expansion of 0.5 in x 1.074 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.074 * [taylor]: Taking taylor expansion of 0.5 in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.074 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.074 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.074 * [taylor]: Taking taylor expansion of 0.5 in x 1.074 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.074 * [taylor]: Taking taylor expansion of 0.5 in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.074 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.084 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 1.084 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.084 * [taylor]: Taking taylor expansion of 0.5 in x 1.084 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.084 * [taylor]: Taking taylor expansion of 0.5 in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.084 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.084 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.084 * [taylor]: Taking taylor expansion of 0.5 in x 1.084 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.084 * [taylor]: Taking taylor expansion of 0.5 in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.084 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.095 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 1.095 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.095 * [taylor]: Taking taylor expansion of 0.5 in x 1.095 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.095 * [taylor]: Taking taylor expansion of 0.5 in x 1.095 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.095 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.095 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.095 * [taylor]: Taking taylor expansion of 0.5 in x 1.095 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.095 * [taylor]: Taking taylor expansion of 0.5 in x 1.095 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.095 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.105 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.105 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.105 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.105 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.105 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.105 * [taylor]: Taking taylor expansion of 0.5 in x 1.106 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.106 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.106 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.106 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.107 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.107 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.107 * [taylor]: Taking taylor expansion of 0.5 in x 1.108 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.108 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.108 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.108 * [taylor]: Taking taylor expansion of 1.0 in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.108 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.108 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.134 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.134 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.134 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.134 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.134 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.134 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.135 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.135 * [taylor]: Taking taylor expansion of 0.5 in x 1.136 * [taylor]: Taking taylor expansion of 1.0 in x 1.136 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.136 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.136 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.136 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.136 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.136 * [taylor]: Taking taylor expansion of 1.0 in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.136 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.136 * [taylor]: Taking taylor expansion of 1.0 in x 1.137 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.137 * [taylor]: Taking taylor expansion of 0.5 in x 1.138 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.158 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.158 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.158 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.158 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.158 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.158 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.159 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.159 * [taylor]: Taking taylor expansion of 0.5 in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.160 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.160 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.160 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.160 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.160 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.161 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.161 * [taylor]: Taking taylor expansion of 0.5 in x 1.162 * [taylor]: Taking taylor expansion of 1.0 in x 1.182 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 1.182 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.182 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.182 * [taylor]: Taking taylor expansion of 1.0 in x 1.182 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.182 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.184 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.184 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.184 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.184 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.186 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.186 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.186 * [taylor]: Taking taylor expansion of 1.0 in x 1.186 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.186 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.186 * [taylor]: Taking taylor expansion of 1.0 in x 1.186 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.188 * * * [progress]: simplifying candidates 1.189 * [simplify]: Simplifying using # : (log (* (cbrt (exp (/ 1.0 (hypot 1.0 x)))) (cbrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (cbrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log 1) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))))) (log (exp (sqrt (/ 1.0 (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (log (exp (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (log (exp (/ (sqrt 1.0) 1))) (log (exp (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ 1 (sqrt (hypot 1.0 x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp 1.0)) (log (log (exp (/ 1.0 (hypot 1.0 x))))) (exp (log (exp (/ 1.0 (hypot 1.0 x))))) (* (cbrt (log (exp (/ 1.0 (hypot 1.0 x))))) (cbrt (log (exp (/ 1.0 (hypot 1.0 x)))))) (cbrt (log (exp (/ 1.0 (hypot 1.0 x))))) (* (* (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (/ 1.0 (hypot 1.0 x))))) (log (exp (/ 1.0 (hypot 1.0 x))))) (sqrt (log (exp (/ 1.0 (hypot 1.0 x))))) (sqrt (log (exp (/ 1.0 (hypot 1.0 x))))) (/ (exp (* 1.0 (- 1.0 0.5))) (exp (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (* (* (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (+ (* (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x)))))) (* (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x)))))))) (- (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x)))))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (* (cbrt (exp (/ 1.0 (hypot 1.0 x)))) (cbrt (exp (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log 1))) (- (* 1.0 (- 1.0 0.5)) (* (log (* (cbrt (exp (/ 1.0 (hypot 1.0 x)))) (cbrt (exp (/ 1.0 (hypot 1.0 x)))))) 0.5)) (- (* 1.0 (- 1.0 0.5)) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 0.5)) (- (* 1.0 (- 1.0 0.5)) (* (log 1) 0.5)) (- (* 1.0 (- 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x)))))) (- (* (- 0.5) 1.0) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x)))))) (- (* (- 0.5) 1.0) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x)))))) (- (* 0.5 (log (exp (/ 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) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (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)) 1.198 * * [simplify]: iteration 0 : 326 enodes (cost 652 ) 1.204 * * [simplify]: iteration 1 : 964 enodes (cost 592 ) 1.222 * * [simplify]: iteration 2 : 3858 enodes (cost 578 ) 1.302 * * [simplify]: iteration 3 : 5001 enodes (cost 576 ) 1.306 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (cbrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 0 (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 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 1.0)) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1 (sqrt (hypot 1.0 x))) 1 1 1.0 (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (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))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (exp (+ (* 1.0 1.0) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (exp (+ (* 1.0 1.0) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 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 (log (exp (/ 1.0 (hypot 1.0 x))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))))) (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* (- 1.0 0.5) (+ (* (* 1.0 (- 1.0 0.5)) 1.0) (* 1.0 (* (/ 1.0 (hypot 1.0 x)) 0.5)))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 0.5 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 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5)))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (log (exp (/ 1.0 (hypot 1.0 x)))))) (+ (* 1.0 1.0) (- (* 1.0 (- 0.5)) (* 0.5 (* 2 (log (cbrt (exp (/ 1.0 (hypot 1.0 x))))))))) (- (* 1.0 (- 1.0 0.5)) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 0.5)) (- (* 1.0 (- 1.0 0.5)) 0) (+ (* 1.0 1.0) (- (* 1.0 (- 0.5)) (* 0.5 (* 2 (log (cbrt (exp (/ 1.0 (hypot 1.0 x))))))))) (- (* 1.0 (- 1.0 0.5)) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 0.5)) (- (* 1.0 (- 1.0 0.5)) 0) (- (* 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 (+ 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 (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) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (- 0.5 (/ 0.5 (hypot 1.0 x))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (+ (* (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)) 1.306 * * * [progress]: adding candidates to table 1.529 * * [progress]: iteration 4 / 4 1.529 * * * [progress]: picking best candidate 1.540 * * * * [pick]: Picked # 1.540 * * * [progress]: localizing error 1.558 * * * [progress]: generating rewritten candidates 1.558 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 2) 1.566 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 1.572 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.579 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.585 * * * [progress]: generating series expansions 1.585 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 2) 1.585 * [approximate]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) in (x) around 0 1.585 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) in x 1.585 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 x)))) in x 1.585 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 x))) in x 1.585 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.585 * [taylor]: Taking taylor expansion of 1.0 in x 1.585 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.587 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) in x 1.587 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 x)))) in x 1.587 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 x))) in x 1.587 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.587 * [taylor]: Taking taylor expansion of 1.0 in x 1.587 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.617 * [approximate]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x)))))) in (x) around 0 1.617 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x)))))) in x 1.617 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 1.617 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 1.617 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.617 * [taylor]: Taking taylor expansion of 1.0 in x 1.617 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.618 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x)))))) in x 1.618 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 1.618 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 1.618 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.619 * [taylor]: Taking taylor expansion of 1.0 in x 1.619 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.653 * [approximate]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x)))))) in (x) around 0 1.653 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x)))))) in x 1.653 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 1.653 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 1.653 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.653 * [taylor]: Taking taylor expansion of 1.0 in x 1.653 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.654 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x)))))) in x 1.655 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 1.655 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 1.655 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.655 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.686 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 1.686 * [approximate]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) in (x) around 0 1.686 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) in x 1.686 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 x)))) in x 1.686 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 x))) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.686 * [taylor]: Taking taylor expansion of 1.0 in x 1.686 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.687 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) in x 1.687 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 x)))) in x 1.687 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 x))) in x 1.687 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.687 * [taylor]: Taking taylor expansion of 1.0 in x 1.687 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.718 * [approximate]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x)))))) in (x) around 0 1.718 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x)))))) in x 1.718 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 1.718 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 1.718 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.718 * [taylor]: Taking taylor expansion of 1.0 in x 1.718 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.719 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x)))))) in x 1.719 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 1.719 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 1.719 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.754 * [approximate]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x)))))) in (x) around 0 1.754 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x)))))) in x 1.754 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 1.754 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 1.754 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.755 * [taylor]: Taking taylor expansion of 1.0 in x 1.755 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.756 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x)))))) in x 1.756 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 1.756 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 1.756 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.756 * [taylor]: Taking taylor expansion of 1.0 in x 1.756 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.788 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.789 * [approximate]: Taking taylor expansion of (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) in (x) around 0 1.789 * [taylor]: Taking taylor expansion of (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) in x 1.789 * [taylor]: Taking taylor expansion of 0.5 in x 1.789 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) in x 1.789 * [taylor]: Taking taylor expansion of 1.0 in x 1.789 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) in x 1.789 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 x)))) in x 1.789 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 x))) in x 1.789 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.789 * [taylor]: Taking taylor expansion of 1.0 in x 1.789 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.790 * [taylor]: Taking taylor expansion of (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) in x 1.790 * [taylor]: Taking taylor expansion of 0.5 in x 1.790 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) in x 1.790 * [taylor]: Taking taylor expansion of 1.0 in x 1.790 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) in x 1.790 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 x)))) in x 1.790 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 x))) in x 1.790 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.790 * [taylor]: Taking taylor expansion of 1.0 in x 1.790 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.833 * [approximate]: Taking taylor expansion of (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x)))))))) in (x) around 0 1.833 * [taylor]: Taking taylor expansion of (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x)))))))) in x 1.833 * [taylor]: Taking taylor expansion of 0.5 in x 1.833 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x))))))) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x)))))) in x 1.834 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 1.834 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 1.834 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.835 * [taylor]: Taking taylor expansion of (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x)))))))) in x 1.835 * [taylor]: Taking taylor expansion of 0.5 in x 1.835 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x))))))) in x 1.835 * [taylor]: Taking taylor expansion of 1.0 in x 1.835 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x)))))) in x 1.835 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 (/ 1 x))))) in x 1.835 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ 1 x)))) in x 1.835 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.835 * [taylor]: Taking taylor expansion of 1.0 in x 1.835 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.876 * [approximate]: Taking taylor expansion of (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x)))))))) in (x) around 0 1.876 * [taylor]: Taking taylor expansion of (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x)))))))) in x 1.876 * [taylor]: Taking taylor expansion of 0.5 in x 1.876 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x))))))) in x 1.876 * [taylor]: Taking taylor expansion of 1.0 in x 1.876 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x)))))) in x 1.876 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 1.876 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 1.876 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.876 * [taylor]: Taking taylor expansion of 1.0 in x 1.876 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.877 * [taylor]: Taking taylor expansion of (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x)))))))) in x 1.877 * [taylor]: Taking taylor expansion of 0.5 in x 1.877 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x))))))) in x 1.877 * [taylor]: Taking taylor expansion of 1.0 in x 1.877 * [taylor]: Taking taylor expansion of (log (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x)))))) in x 1.877 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1.0 (hypot 1.0 (/ -1 x))))) in x 1.877 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (hypot 1.0 (/ -1 x)))) in x 1.877 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.877 * [taylor]: Taking taylor expansion of 1.0 in x 1.877 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.921 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.921 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.921 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.921 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.921 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.921 * [taylor]: Taking taylor expansion of 0.5 in x 1.922 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.922 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.922 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.922 * [taylor]: Taking taylor expansion of 1.0 in x 1.922 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.922 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.922 * [taylor]: Taking taylor expansion of 1.0 in x 1.923 * [taylor]: Taking taylor expansion of 1.0 in x 1.923 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.923 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.923 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.923 * [taylor]: Taking taylor expansion of 0.5 in x 1.923 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.923 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.924 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.924 * [taylor]: Taking taylor expansion of 1.0 in x 1.924 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.924 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.924 * [taylor]: Taking taylor expansion of 1.0 in x 1.925 * [taylor]: Taking taylor expansion of 1.0 in x 1.947 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.947 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.947 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.947 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.947 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.947 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.947 * [taylor]: Taking taylor expansion of 1.0 in x 1.947 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.947 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.947 * [taylor]: Taking taylor expansion of 1.0 in x 1.948 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.948 * [taylor]: Taking taylor expansion of 0.5 in x 1.948 * [taylor]: Taking taylor expansion of 1.0 in x 1.949 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.949 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.949 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.949 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.949 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.949 * [taylor]: Taking taylor expansion of 1.0 in x 1.949 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.949 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.949 * [taylor]: Taking taylor expansion of 1.0 in x 1.950 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.950 * [taylor]: Taking taylor expansion of 0.5 in x 1.950 * [taylor]: Taking taylor expansion of 1.0 in x 1.971 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.971 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.971 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.971 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.971 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.971 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.971 * [taylor]: Taking taylor expansion of 1.0 in x 1.971 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.971 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.971 * [taylor]: Taking taylor expansion of 1.0 in x 1.972 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.972 * [taylor]: Taking taylor expansion of 0.5 in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.973 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.973 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.973 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.973 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.973 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.973 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.973 * [taylor]: Taking taylor expansion of 1.0 in x 1.974 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.974 * [taylor]: Taking taylor expansion of 0.5 in x 1.979 * [taylor]: Taking taylor expansion of 1.0 in x 1.999 * * * [progress]: simplifying candidates 2.001 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (cbrt (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (log (cbrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* (cbrt (exp (/ 1.0 (hypot 1.0 x)))) (cbrt (exp (/ 1.0 (hypot 1.0 x))))))) (log (sqrt (cbrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt 1)) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log 1) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))))) (log (exp (sqrt (/ 1.0 (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (log (exp (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (log (exp (/ (sqrt 1.0) 1))) (log (exp (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ 1 (sqrt (hypot 1.0 x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp 1.0)) (log (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (exp (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (cbrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (cbrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (* (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (sqrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (sqrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (* (cbrt (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (cbrt (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (log (cbrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* (cbrt (exp (/ 1.0 (hypot 1.0 x)))) (cbrt (exp (/ 1.0 (hypot 1.0 x))))))) (log (sqrt (cbrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt 1)) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log 1) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (exp (/ 1.0 (hypot 1.0 x)))) (log (exp (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))))) (log (exp (sqrt (/ 1.0 (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))))) (log (exp (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (log (exp (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ (sqrt 1.0) (sqrt (hypot 1.0 x))))) (log (exp (/ (sqrt 1.0) 1))) (log (exp (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))))) (log (exp (/ 1 (sqrt (hypot 1.0 x))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp 1.0)) (log (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (exp (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (cbrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (cbrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (* (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (sqrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (sqrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (/ (exp (* 1.0 (- 1.0 0.5))) (exp (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (* (* (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (+ (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (- (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 (+ (pow (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 3) (pow (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 3))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (- (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (- (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 (- (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (- (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (+ (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (- (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (* (+ 1.0 0.5) (* 0.5 (+ (pow (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 3) (pow (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 3))))) (* (+ 1.0 0.5) (+ (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (- (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (- (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (* (+ 1.0 0.5) (* 0.5 (- (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))))) (* (+ 1.0 0.5) (- (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) 3)) (+ (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (+ (* (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (* (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))))) (- (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (- (* 1.0 (- 1.0 0.5)) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 0.5)) (- (* 1.0 (- 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 (- 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (- (* (- 0.5) 1.0) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (- (* (- 0.5) 1.0) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (- (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 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 (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 2.008 * * [simplify]: iteration 0 : 409 enodes (cost 1053 ) 2.015 * * [simplify]: iteration 1 : 1505 enodes (cost 908 ) 2.063 * * [simplify]: iteration 2 : 5003 enodes (cost 890 ) 2.068 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (log (cbrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* (cbrt (exp (/ 1.0 (hypot 1.0 x)))) (cbrt (exp (/ 1.0 (hypot 1.0 x))))))) (log (sqrt (cbrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) 0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) 0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (/ 1.0 (hypot 1.0 x)) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (/ 1.0 (hypot 1.0 x)) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 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 1.0)) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1 (sqrt (hypot 1.0 x))) 1 1 1.0 (log (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (sqrt (exp (/ 1.0 (hypot 1.0 x)))) (* (cbrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (cbrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (cbrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (pow (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 3) (sqrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (sqrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (* 2 (log (cbrt (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (log (cbrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* (cbrt (exp (/ 1.0 (hypot 1.0 x)))) (cbrt (exp (/ 1.0 (hypot 1.0 x))))))) (log (sqrt (cbrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) 0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) 0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (/ 1.0 (hypot 1.0 x)) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (/ 1.0 (hypot 1.0 x)) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (sqrt (/ 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 1.0)) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1 (sqrt (hypot 1.0 x))) 1 1 1.0 (log (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (sqrt (exp (/ 1.0 (hypot 1.0 x)))) (* (cbrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (cbrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (cbrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (pow (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 3) (sqrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (sqrt (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (* (pow (pow (sqrt (exp (/ 1.0 (hypot 1.0 x)))) 2) (- 0.5)) (exp (* 1.0 (- 1.0 0.5)))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (* (pow (pow (sqrt (exp (/ 1.0 (hypot 1.0 x)))) 2) (- 0.5)) (exp (* 1.0 (- 1.0 0.5)))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (pow (+ (* (* 2 (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (- 0.5)) (* 1.0 (- 1.0 0.5))) 3) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))))) (+ (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (- 0 (* (* (* 2 (pow (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 3)) 0.5) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))))) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0)))) 0 0 (+ (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (- 0 (* (* (+ 1.0 0.5) 0.5) (* 2 (pow (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 3))))) (* (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 0.5)) 0 0 (+ (* (- (pow 0.5 3)) (* 8 (pow (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 3))) (pow (* 1.0 (- 1.0 0.5)) 3)) (+ (* (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (+ (* 0.5 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (* 1.0 (- 1.0 0.5)))) (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5)))) (* (* 2 (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (- 0.5)) (+ (* (- (* 0.5 0.5)) (* 4 (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 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 (+ (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 (- 1.0 0.5)) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 0.5)) (- (* 1.0 (- 1.0 0.5)) (* (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) 0.5)) (* (- 0.5) (+ 1.0 (* 2 (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (* (- 0.5) (+ 1.0 (* 2 (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (* (- 0.5) (+ 1.0 (* 2 (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (* (- 0.5) (+ 1.0 (* 2 (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))))) (* (* 2 (log (sqrt (exp (/ 1.0 (hypot 1.0 x)))))) (- 0.5)) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (- (+ (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (* 1.0 1.0) (- (* 0.5 (+ 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 (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))) (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (- 0.5 (* 1.0 (log (sqrt (exp (/ 1.0 (hypot 1.0 x))))))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 2.069 * * * [progress]: adding candidates to table 2.373 * [progress]: [Phase 3 of 3] Extracting. 2.373 * * [regime]: Finding splitpoints for: (# # # #) 2.376 * * * [regime-changes]: Trying 3 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) x) 2.376 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 2.401 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 2.430 * * * * [regimes]: Trying to branch on x from (# # # #) 2.454 * * * [regime]: Found split indices: #