18.696 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.032 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.033 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.034 * * [simplify]: iteration 2 : 28 enodes (cost 6 ) 0.036 * * [simplify]: iteration 3 : 30 enodes (cost 6 ) 0.037 * * [simplify]: iteration 4 : 35 enodes (cost 6 ) 0.038 * * [simplify]: iteration 5 : 37 enodes (cost 6 ) 0.039 * * [simplify]: iteration 6 : 37 enodes (cost 6 ) 0.040 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.052 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.054 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.060 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.072 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.072 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.072 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.072 * [taylor]: Taking taylor expansion of 0.5 in x 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.073 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.073 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.073 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.074 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.074 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.074 * [taylor]: Taking taylor expansion of 0.5 in x 0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.075 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.075 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.075 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.075 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [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 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.101 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.101 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.101 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.102 * [taylor]: Taking taylor expansion of 0.5 in x 0.102 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.102 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.102 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.103 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.104 * [taylor]: Taking taylor expansion of 0.5 in x 0.127 * [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 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.127 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.127 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.127 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.128 * [taylor]: Taking taylor expansion of 0.5 in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.129 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.129 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.130 * [taylor]: Taking taylor expansion of 0.5 in x 0.159 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.159 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.159 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.161 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.161 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.163 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.165 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.165 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.165 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.165 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.174 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.174 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.174 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.183 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.183 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.183 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.183 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.183 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.192 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.192 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.192 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.192 * [taylor]: Taking taylor expansion of 0.5 in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.193 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.193 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.193 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.194 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.194 * [taylor]: Taking taylor expansion of 0.5 in x 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.195 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.195 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.195 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.216 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.216 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.216 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.216 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.217 * [taylor]: Taking taylor expansion of 0.5 in x 0.218 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.218 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.218 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.218 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.218 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.218 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.219 * [taylor]: Taking taylor expansion of 0.5 in x 0.239 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.239 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.239 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.239 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.239 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.239 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.240 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.240 * [taylor]: Taking taylor expansion of 0.5 in x 0.241 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.241 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.241 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.241 * [taylor]: Taking taylor expansion of 1.0 in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.241 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.245 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.247 * [taylor]: Taking taylor expansion of 0.5 in x 0.266 * * * [progress]: simplifying candidates 0.268 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 0.272 * * [simplify]: iteration 0 : 221 enodes (cost 492 ) 0.276 * * [simplify]: iteration 1 : 697 enodes (cost 465 ) 0.287 * * [simplify]: iteration 2 : 2325 enodes (cost 463 ) 0.331 * * [simplify]: iteration 3 : 5001 enodes (cost 463 ) 0.334 * [simplify]: Simplified to: (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 0.334 * * * [progress]: adding candidates to table 0.490 * * [progress]: iteration 2 / 4 0.491 * * * [progress]: picking best candidate 0.500 * * * * [pick]: Picked # 0.500 * * * [progress]: localizing error 0.513 * * * [progress]: generating rewritten candidates 0.513 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.519 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.521 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.523 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.528 * * * [progress]: generating series expansions 0.528 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.529 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 0.529 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.529 * [taylor]: Taking taylor expansion of 0.5 in x 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.529 * [taylor]: Taking taylor expansion of 0.5 in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.529 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.529 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.529 * [taylor]: Taking taylor expansion of 0.5 in x 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.529 * [taylor]: Taking taylor expansion of 0.5 in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.529 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.539 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 0.539 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.539 * [taylor]: Taking taylor expansion of 0.5 in x 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.539 * [taylor]: Taking taylor expansion of 0.5 in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.539 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.539 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.539 * [taylor]: Taking taylor expansion of 0.5 in x 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.539 * [taylor]: Taking taylor expansion of 0.5 in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.539 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.555 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 0.555 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.555 * [taylor]: Taking taylor expansion of 0.5 in x 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.555 * [taylor]: Taking taylor expansion of 0.5 in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.555 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.555 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.555 * [taylor]: Taking taylor expansion of 0.5 in x 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.555 * [taylor]: Taking taylor expansion of 0.5 in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.555 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.566 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.566 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.566 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.567 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.567 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.569 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.569 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.570 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.571 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.571 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.572 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.573 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.573 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.573 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.575 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.575 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.575 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.577 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.577 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 0.577 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.577 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.577 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.577 * [taylor]: Taking taylor expansion of 0.5 in x 0.578 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.578 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.578 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.578 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.579 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.579 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.579 * [taylor]: Taking taylor expansion of 0.5 in x 0.580 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.580 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.580 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.580 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.604 * [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 0.604 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.604 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.604 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.604 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.604 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.604 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.605 * [taylor]: Taking taylor expansion of 0.5 in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.606 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.606 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.606 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.606 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.606 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.606 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.607 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.607 * [taylor]: Taking taylor expansion of 0.5 in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [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 0.628 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.628 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.628 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.628 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.628 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.628 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.628 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.629 * [taylor]: Taking taylor expansion of 0.5 in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.630 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.630 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.630 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.630 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.631 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.631 * [taylor]: Taking taylor expansion of 0.5 in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.657 * * * [progress]: simplifying candidates 0.659 * [simplify]: Simplifying using # : (/ (exp (* 1.0 (- 1.0 0.5))) (exp (* 0.5 (/ 1.0 (hypot 1.0 x))))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (* (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (hypot 1.0 x)) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 1.0))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (hypot 1.0 x)) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (hypot 1.0 x)) (* (+ 1.0 0.5) (* 0.5 1.0))) (* (+ 1.0 0.5) (hypot 1.0 x)) (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (/ 1.0 (hypot 1.0 x))) 3)) (+ (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (+ (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (- (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (- 0.5) 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (- 0.5) 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 0.665 * * [simplify]: iteration 0 : 306 enodes (cost 616 ) 0.671 * * [simplify]: iteration 1 : 1080 enodes (cost 568 ) 0.693 * * [simplify]: iteration 2 : 4851 enodes (cost 560 ) 0.796 * * [simplify]: iteration 3 : 5001 enodes (cost 560 ) 0.800 * [simplify]: Simplified to: (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (pow (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) 3) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* 1.0 (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))))) (* (hypot 1.0 x) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)) (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (/ 1.0 (hypot 1.0 x))) 3)) (+ (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 1.0 (- 1.0 0.5)))) (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5)))) (- (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 0.5 (/ 1.0 (hypot 1.0 x)))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 0.800 * * * [progress]: adding candidates to table 1.042 * * [progress]: iteration 3 / 4 1.042 * * * [progress]: picking best candidate 1.058 * * * * [pick]: Picked # 1.058 * * * [progress]: localizing error 1.079 * * * [progress]: generating rewritten candidates 1.079 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.087 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.089 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.112 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.117 * * * [progress]: generating series expansions 1.117 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.119 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in (x) around 0 1.119 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.119 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.119 * [taylor]: Taking taylor expansion of 0.75 in x 1.119 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.119 * [taylor]: Taking taylor expansion of 0.75 in x 1.119 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.119 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.119 * [taylor]: Taking taylor expansion of 0.75 in x 1.119 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.119 * [taylor]: Taking taylor expansion of 0.75 in x 1.129 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in (x) around 0 1.129 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.129 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.129 * [taylor]: Taking taylor expansion of 0.75 in x 1.129 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.129 * [taylor]: Taking taylor expansion of 0.75 in x 1.129 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.129 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.129 * [taylor]: Taking taylor expansion of 0.75 in x 1.129 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.129 * [taylor]: Taking taylor expansion of 0.75 in x 1.140 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in (x) around 0 1.140 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.140 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.140 * [taylor]: Taking taylor expansion of 0.75 in x 1.140 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.140 * [taylor]: Taking taylor expansion of 0.75 in x 1.140 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.140 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.140 * [taylor]: Taking taylor expansion of 0.75 in x 1.140 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.140 * [taylor]: Taking taylor expansion of 0.75 in x 1.149 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.149 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.149 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.149 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.151 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.151 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.151 * [taylor]: Taking taylor expansion of 1.0 in x 1.151 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.151 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.151 * [taylor]: Taking taylor expansion of 1.0 in x 1.151 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.153 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.153 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.153 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.155 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.157 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) in (x) around 0 1.157 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) in x 1.157 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.157 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x)) in x 1.157 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.157 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.157 * [taylor]: Taking taylor expansion of 0.75 in x 1.157 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.157 * [taylor]: Taking taylor expansion of 0.75 in x 1.157 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.158 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) in x 1.158 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.158 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x)) in x 1.158 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.158 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.158 * [taylor]: Taking taylor expansion of 0.75 in x 1.158 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.158 * [taylor]: Taking taylor expansion of 0.75 in x 1.158 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.175 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x)))) in (x) around 0 1.175 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x)))) in x 1.175 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.175 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x))) in x 1.175 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.175 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.175 * [taylor]: Taking taylor expansion of 0.75 in x 1.175 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.176 * [taylor]: Taking taylor expansion of 0.75 in x 1.176 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.176 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x)))) in x 1.176 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.176 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (hypot 1.0 (/ 1 x))) in x 1.176 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.176 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.176 * [taylor]: Taking taylor expansion of 0.75 in x 1.176 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.176 * [taylor]: Taking taylor expansion of 0.75 in x 1.176 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.200 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x)))) in (x) around 0 1.200 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x)))) in x 1.200 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.200 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x))) in x 1.200 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.200 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.200 * [taylor]: Taking taylor expansion of 0.75 in x 1.200 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.200 * [taylor]: Taking taylor expansion of 0.75 in x 1.200 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.201 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x)))) in x 1.201 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.201 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (hypot 1.0 (/ -1 x))) in x 1.201 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.201 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.201 * [taylor]: Taking taylor expansion of 0.75 in x 1.201 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.201 * [taylor]: Taking taylor expansion of 0.75 in x 1.201 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.218 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.218 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.218 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.218 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.218 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.218 * [taylor]: Taking taylor expansion of 0.5 in x 1.219 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.219 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.219 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.219 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.219 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [taylor]: Taking taylor expansion of 1.0 in x 1.220 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.220 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.220 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.220 * [taylor]: Taking taylor expansion of 0.5 in x 1.221 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.221 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.221 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.221 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.221 * [taylor]: Taking taylor expansion of 1.0 in x 1.222 * [taylor]: Taking taylor expansion of 1.0 in x 1.244 * [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 1.244 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.244 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.244 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.244 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.244 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.244 * [taylor]: Taking taylor expansion of 1.0 in x 1.245 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.245 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.245 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.246 * [taylor]: Taking taylor expansion of 0.5 in x 1.246 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.246 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.246 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.246 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.246 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.246 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.246 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.248 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.248 * [taylor]: Taking taylor expansion of 0.5 in x 1.248 * [taylor]: Taking taylor expansion of 1.0 in x 1.269 * [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 1.269 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.269 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.269 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.269 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.269 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.269 * [taylor]: Taking taylor expansion of 1.0 in x 1.269 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.269 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.269 * [taylor]: Taking taylor expansion of 1.0 in x 1.270 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.270 * [taylor]: Taking taylor expansion of 0.5 in x 1.271 * [taylor]: Taking taylor expansion of 1.0 in x 1.271 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.271 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.271 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.271 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.271 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.271 * [taylor]: Taking taylor expansion of 1.0 in x 1.271 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.271 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.271 * [taylor]: Taking taylor expansion of 1.0 in x 1.272 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.272 * [taylor]: Taking taylor expansion of 0.5 in x 1.273 * [taylor]: Taking taylor expansion of 1.0 in x 1.299 * * * [progress]: simplifying candidates 1.301 * [simplify]: Simplifying using # : (/ (exp (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (exp (* 0.5 (+ 0.5 1.0)))) (log (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (exp (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (* (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (sqrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (sqrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (- (* (* (- (pow (* 1.0 1.0) 3) (pow (* 0.5 0.5) 3)) (hypot 1.0 x)) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0)))) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (* 1.0 1.0) (* 0.5 0.5)))) (* 0.5 (+ (pow 0.5 3) (pow 1.0 3))))) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (* 1.0 1.0) (* 0.5 0.5)))) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0)))) (- (* (* (- (pow (* 1.0 1.0) 3) (pow (* 0.5 0.5) 3)) (hypot 1.0 x)) (- 0.5 1.0)) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (* 1.0 1.0) (* 0.5 0.5)))) (* 0.5 (- (* 0.5 0.5) (* 1.0 1.0))))) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (* 1.0 1.0) (* 0.5 0.5)))) (- 0.5 1.0)) (- (* (* (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 0.5) (* 0.5 0.5))) (hypot 1.0 x)) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0)))) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (* 0.5 (+ (pow 0.5 3) (pow 1.0 3))))) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0)))) (- (* (* (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 0.5) (* 0.5 0.5))) (hypot 1.0 x)) (- 0.5 1.0)) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (* 0.5 (- (* 0.5 0.5) (* 1.0 1.0))))) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (- 0.5 1.0)) (- (pow (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) 3) (pow (* 0.5 (+ 0.5 1.0)) 3)) (+ (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (+ (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (- (* 0.5 (+ 0.5 1.0))) (- (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0)))) (+ (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 0.5)) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 0.5)) (- (* 0.5 (+ 0.5 1.0))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) 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(sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1.309 * * [simplify]: iteration 0 : 625 enodes (cost 1165 ) 1.321 * * [simplify]: iteration 1 : 3259 enodes (cost 984 ) 1.374 * * [simplify]: iteration 2 : 5001 enodes (cost 984 ) 1.379 * [simplify]: Simplified to: (exp (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (log (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (exp (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 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(* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) 3) (pow (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) 3) (pow (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) 3) (pow (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) 3) (* (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))))) (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (pow (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) 3) (sqrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (sqrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (- (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (- (* (+ 1.0 0.5) (hypot 1.0 x))) (/ 1.0 (+ 1.0 0.5)) (/ (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (hypot 1.0 x)) (/ 1 (* (+ 1.0 0.5) (hypot 1.0 x))) (/ (* (+ 1.0 0.5) (hypot 1.0 x)) (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (+ 1.0 0.5)) (/ (* (+ 1.0 0.5) (hypot 1.0 x)) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (* (* (* (+ 1.0 0.5) (hypot 1.0 x)) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5))) (+ (+ (pow 1.0 4) (* (* 1.0 1.0) (* 0.5 0.5))) (pow 0.5 4))) (* (* (* (+ 1.0 0.5) (hypot 1.0 x)) (- 0.5 1.0)) (+ (+ (pow 1.0 4) (* (* 1.0 1.0) (* 0.5 0.5))) (pow 0.5 4))) (* (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5)) (+ (* 1.0 1.0) (* 0.5 0.5))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (* (+ 1.0 0.5) (hypot 1.0 x)) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (- 0.5 1.0))) (* (+ (* (* 0.5 (+ 0.5 1.0)) (+ (* 0.5 (+ 0.5 1.0)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)))) (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (* (+ 1.0 0.5) (hypot 1.0 x)) (+ (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (- (+ (* 1.0 1.0) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (hypot 1.0 x))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) 1.379 * * * [progress]: adding candidates to table 1.712 * * [progress]: iteration 4 / 4 1.712 * * * [progress]: picking best candidate 1.730 * * * * [pick]: Picked # 1.730 * * * [progress]: localizing error 1.749 * * * [progress]: generating rewritten candidates 1.749 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.783 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.802 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.882 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 1.895 * * * [progress]: generating series expansions 1.895 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.897 * [approximate]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) in (x) around 0 1.897 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) in x 1.897 * [taylor]: Taking taylor expansion of 0.25 in x 1.897 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 x) 2))) in x 1.897 * [taylor]: Taking taylor expansion of 0.25 in x 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 1.898 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.898 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.898 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) in x 1.898 * [taylor]: Taking taylor expansion of 0.25 in x 1.898 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 x) 2))) in x 1.898 * [taylor]: Taking taylor expansion of 0.25 in x 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 1.898 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.898 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.915 * [approximate]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in (x) around 0 1.915 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 1.915 * [taylor]: Taking taylor expansion of 0.25 in x 1.915 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 1.915 * [taylor]: Taking taylor expansion of 0.25 in x 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 1.915 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 1.915 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.915 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 1.915 * [taylor]: Taking taylor expansion of 0.25 in x 1.915 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 1.915 * [taylor]: Taking taylor expansion of 0.25 in x 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 1.915 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 1.915 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.937 * [approximate]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) in (x) around 0 1.937 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) in x 1.937 * [taylor]: Taking taylor expansion of 0.25 in x 1.937 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 1.937 * [taylor]: Taking taylor expansion of 0.25 in x 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 1.937 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 1.937 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.937 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) in x 1.937 * [taylor]: Taking taylor expansion of 0.25 in x 1.937 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 1.937 * [taylor]: Taking taylor expansion of 0.25 in x 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 1.937 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 1.937 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.954 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.954 * [approximate]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 x) 2)) in (x) around 0 1.954 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 x) 2)) in x 1.954 * [taylor]: Taking taylor expansion of 0.25 in x 1.954 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.954 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.954 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 x) 2)) in x 1.954 * [taylor]: Taking taylor expansion of 0.25 in x 1.954 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.954 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.961 * [approximate]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 (/ 1 x)) 2)) in (x) around 0 1.961 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 (/ 1 x)) 2)) in x 1.961 * [taylor]: Taking taylor expansion of 0.25 in x 1.961 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 1.961 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.962 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 (/ 1 x)) 2)) in x 1.962 * [taylor]: Taking taylor expansion of 0.25 in x 1.962 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 1.962 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.970 * [approximate]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 (/ -1 x)) 2)) in (x) around 0 1.970 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 (/ -1 x)) 2)) in x 1.970 * [taylor]: Taking taylor expansion of 0.25 in x 1.970 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 1.970 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ 0.25 (pow (hypot 1.0 (/ -1 x)) 2)) in x 1.970 * [taylor]: Taking taylor expansion of 0.25 in x 1.970 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 1.970 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.978 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.980 * [approximate]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) in (x) around 0 1.980 * [taylor]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) in x 1.980 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) in x 1.980 * [taylor]: Taking taylor expansion of 0.25 in x 1.980 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 x) 2))) in x 1.981 * [taylor]: Taking taylor expansion of 0.25 in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 1.981 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.981 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.981 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5) in x 1.981 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.981 * [taylor]: Taking taylor expansion of 0.5 in x 1.981 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.981 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.981 * [taylor]: Taking taylor expansion of 0.5 in x 1.982 * [taylor]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) in x 1.982 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) in x 1.982 * [taylor]: Taking taylor expansion of 0.25 in x 1.982 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 x) 2))) in x 1.982 * [taylor]: Taking taylor expansion of 0.25 in x 1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 x) 2)) in x 1.982 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.982 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.982 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5) in x 1.982 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.982 * [taylor]: Taking taylor expansion of 0.5 in x 1.982 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.982 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.982 * [taylor]: Taking taylor expansion of 0.5 in x 2.016 * [approximate]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) 0.5)) in (x) around 0 2.016 * [taylor]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) 0.5)) in x 2.016 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 2.016 * [taylor]: Taking taylor expansion of 0.25 in x 2.016 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 2.016 * [taylor]: Taking taylor expansion of 0.25 in x 2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 2.016 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 2.016 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.016 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) 0.5) in x 2.016 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.016 * [taylor]: Taking taylor expansion of 0.5 in x 2.016 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.016 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.017 * [taylor]: Taking taylor expansion of 0.5 in x 2.017 * [taylor]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) 0.5)) in x 2.017 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)))) in x 2.017 * [taylor]: Taking taylor expansion of 0.25 in x 2.017 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ 1 x)) 2))) in x 2.017 * [taylor]: Taking taylor expansion of 0.25 in x 2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ 1 x)) 2)) in x 2.018 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 2.018 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.018 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) 0.5) in x 2.018 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.018 * [taylor]: Taking taylor expansion of 0.5 in x 2.018 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.018 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.018 * [taylor]: Taking taylor expansion of 0.5 in x 2.050 * [approximate]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) 0.5)) in (x) around 0 2.050 * [taylor]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) 0.5)) in x 2.050 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) in x 2.050 * [taylor]: Taking taylor expansion of 0.25 in x 2.050 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 2.050 * [taylor]: Taking taylor expansion of 0.25 in x 2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 2.050 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 2.050 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.050 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) 0.5) in x 2.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.050 * [taylor]: Taking taylor expansion of 0.5 in x 2.050 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.050 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.050 * [taylor]: Taking taylor expansion of 0.5 in x 2.051 * [taylor]: Taking taylor expansion of (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) 0.5)) in x 2.051 * [taylor]: Taking taylor expansion of (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)))) in x 2.051 * [taylor]: Taking taylor expansion of 0.25 in x 2.051 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow (hypot 1.0 (/ -1 x)) 2))) in x 2.051 * [taylor]: Taking taylor expansion of 0.25 in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 (pow (hypot 1.0 (/ -1 x)) 2)) in x 2.051 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 2.051 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.051 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) 0.5) in x 2.051 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.051 * [taylor]: Taking taylor expansion of 0.5 in x 2.051 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.052 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.052 * [taylor]: Taking taylor expansion of 0.5 in x 2.081 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 2.081 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 2.081 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.081 * [taylor]: Taking taylor expansion of 1.0 in x 2.081 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 2.081 * [taylor]: Taking taylor expansion of 1.0 in x 2.081 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.083 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 2.083 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.083 * [taylor]: Taking taylor expansion of 1.0 in x 2.083 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.083 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 2.083 * [taylor]: Taking taylor expansion of 1.0 in x 2.083 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.085 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 2.085 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.085 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.085 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.085 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.087 * * * [progress]: simplifying candidates 2.090 * [simplify]: Simplifying using # : (/ (exp (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5)))) (exp (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (log (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (exp (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (* (* (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (sqrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (sqrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (- (* (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (* 1.0 (- (pow 1.0 3) (pow 0.5 3)))) (* (hypot 1.0 x) (hypot 1.0 x))) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (* (* 0.5 1.0) (* 0.5 1.0)))) (* (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5)))) (* (hypot 1.0 x) (hypot 1.0 x))) (- (* (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (* 1.0 (- (pow 1.0 3) (pow 0.5 3)))) (hypot 1.0 x)) (* (* 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x))))) (+ (+ (log 0.5) (- (log 1.0) (log (hypot 1.0 x)))) (log (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (+ (log 0.5) (log (/ 1.0 (hypot 1.0 x)))) (+ (log 0.5) (- (log 1.0) (log (hypot 1.0 x))))) (+ (+ (log 0.5) (log (/ 1.0 (hypot 1.0 x)))) (+ (log 0.5) (log (/ 1.0 (hypot 1.0 x))))) (+ (+ (log 0.5) (log (/ 1.0 (hypot 1.0 x)))) (log (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (log (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (log 0.5) (- (log 1.0) (log (hypot 1.0 x))))) (+ (log (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (log 0.5) (log (/ 1.0 (hypot 1.0 x))))) (+ (log (* 0.5 (/ 1.0 (hypot 1.0 x)))) (log (* 0.5 (/ 1.0 (hypot 1.0 x))))) (log (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (exp (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (* (* (* 0.5 0.5) 0.5) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)))) (* (* (* 0.5 0.5) 0.5) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))))) (* (* (* (* 0.5 0.5) 0.5) (/ (* (* 1.0 1.0) 1.0) (* (* 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(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) (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (/ 0.25 (pow (hypot 1.0 x) 2)) (/ 0.25 (pow (hypot 1.0 x) 2)) (/ 0.25 (pow (hypot 1.0 x) 2)) (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 2.105 * * [simplify]: iteration 0 : 933 enodes (cost 3000 ) 2.124 * * [simplify]: iteration 1 : 5002 enodes (cost 2730 ) 2.142 * [simplify]: Simplified to: (exp (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (log (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (exp (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (pow (- (* (* 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))))) 3) (sqrt 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(hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (pow (* 0.5 (/ 1.0 (hypot 1.0 x))) 6) (fabs (* 0.5 (/ 1.0 (hypot 1.0 x)))) (fabs (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (* 0.5 1.0) (* 0.5 1.0)) (pow (hypot 1.0 x) 2) (* 0.5 0.5) (/ (* 1.0 1.0) (pow (hypot 1.0 x) 2)) 2 2 2 2 (* (* 0.5 (/ 1.0 (hypot 1.0 x))) 0.5) (* 0.5 (/ (* 1.0 1.0) (pow (hypot 1.0 x) 2))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 1.0)) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 1.0)) (log (/ (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (log (/ (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (exp (/ (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (pow (/ (- (* (* 1.0 (- 1.0 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0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (sqrt (/ (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (* 1.0 (- 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))))) (/ (* (* 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))))) (/ (* (* 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))))) (/ (* (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ (* 1.0 (- 1.0 0.5)) (* 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)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (/ (* (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (/ (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))))) (/ (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (/ (sqrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (* (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))))))) (/ (sqrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (sqrt (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (sqrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (/ (sqrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (/ 1 (* (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)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (/ 1 (sqrt (+ (* 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))))) (sqrt (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) 1 (/ (- (* (* 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 (- 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)))) (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)))) (sqrt (+ (* 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)))))) (+ (* 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 (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (/ (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (/ (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (+ (* 1.0 (- 1.0 0.5)) (* 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)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (+ (* 1.0 (- 1.0 0.5)) (* 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)))) (cbrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))))) (/ (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (sqrt (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))))) (/ (+ (* 1.0 (- 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)))) (- (* 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 (- (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)) (* 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 1.0) (* 0.5 0.5))) (hypot 1.0 x)) (* (+ 1.0 0.5) (* 0.5 1.0)))) (/ (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (/ 1.0 (hypot 1.0 x))) 3))) 1 (* (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* (pow (hypot 1.0 x) 2) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0)))) (* (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* 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 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* 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 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0)) (+ 1.0 0.5))) (pow (hypot 1.0 x) 2)) (* (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0)) (+ 1.0 0.5))) (pow (hypot 1.0 x) 2)) (* (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (+ 1.0 0.5) (+ 1.0 0.5))) (pow (hypot 1.0 x) 2)) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 0.5) (+ 1.0 0.5)) (hypot 1.0 x))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 0.5) (+ 1.0 0.5)) (hypot 1.0 x))) (* (* (pow (hypot 1.0 x) 2) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (* (hypot 1.0 x) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (* (hypot 1.0 x) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ (* 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 0.5)) (pow (hypot 1.0 x) 2)) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (* (pow (hypot 1.0 x) 2) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (* (hypot 1.0 x) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (* (hypot 1.0 x) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ (* 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 0.5)) (pow (hypot 1.0 x) 2)) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (+ (+ (pow (* 1.0 (- 1.0 0.5)) 4) (* (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (pow (* 0.5 (/ 1.0 (hypot 1.0 x))) 4)) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (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) (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (/ 0.25 (pow (hypot 1.0 x) 2)) (/ 0.25 (pow (hypot 1.0 x) 2)) (/ 0.25 (pow (hypot 1.0 x) 2)) (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) (/ (- 0.25 (* 0.25 (/ 1 (pow (hypot 1.0 x) 2)))) (+ (* 0.5 (/ 1 (hypot 1.0 x))) 0.5)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 2.144 * * * [progress]: adding candidates to table 2.707 * [progress]: [Phase 3 of 3] Extracting. 2.707 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.711 * * * [regime-changes]: Trying 5 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) x) 2.711 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # # # # #) 2.751 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # # # #) 2.788 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # # #) 2.816 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # # # # #) 2.850 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # # # # #) 3.074 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.111 * * * [regime]: Found split indices: #