17.216 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.036 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.037 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.038 * * [simplify]: iteration 2 : 28 enodes (cost 6 ) 0.040 * * [simplify]: iteration 3 : 30 enodes (cost 6 ) 0.041 * * [simplify]: iteration 4 : 35 enodes (cost 6 ) 0.042 * * [simplify]: iteration 5 : 37 enodes (cost 6 ) 0.044 * * [simplify]: iteration 6 : 37 enodes (cost 6 ) 0.044 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.060 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2) 0.062 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.065 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.069 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.069 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.069 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.069 * [taylor]: Taking taylor expansion of 0.5 in x 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.070 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.070 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.070 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [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 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.072 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.072 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [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 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.099 * [taylor]: Taking taylor expansion of 0.5 in x 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 0.100 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.100 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.100 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.101 * [taylor]: Taking taylor expansion of 0.5 in x 0.124 * [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 0.124 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.124 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.124 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.124 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.126 * [taylor]: Taking taylor expansion of 0.5 in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [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 0.157 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2) 0.157 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.157 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.158 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.158 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.160 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.160 * [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 0.162 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.163 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.163 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.163 * [taylor]: Taking taylor expansion of 0.5 in x 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.164 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.164 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.165 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.165 * [taylor]: Taking taylor expansion of 0.5 in x 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.165 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.165 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.187 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.187 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.187 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.187 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.188 * [taylor]: Taking taylor expansion of 0.5 in x 0.189 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.189 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.189 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.189 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.189 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.190 * [taylor]: Taking taylor expansion of 0.5 in x 0.210 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.210 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.210 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.210 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.210 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.211 * [taylor]: Taking taylor expansion of 0.5 in x 0.212 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.212 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.212 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.212 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.212 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.213 * [taylor]: Taking taylor expansion of 0.5 in x 0.239 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.239 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.239 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.239 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 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 x)) in x 0.239 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.239 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.239 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 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 x)) in x 0.239 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.239 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.247 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.247 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.247 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.248 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.248 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.257 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.257 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.257 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.257 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.257 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * * * [progress]: simplifying candidates 0.266 * [simplify]: Simplifying using # : (- (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 (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5) (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)))) (+ (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 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 0.269 * * [simplify]: iteration 0 : 112 enodes (cost 181 ) 0.272 * * [simplify]: iteration 1 : 263 enodes (cost 178 ) 0.278 * * [simplify]: iteration 2 : 949 enodes (cost 176 ) 0.299 * * [simplify]: iteration 3 : 3293 enodes (cost 175 ) 0.364 * * [simplify]: iteration 4 : 5002 enodes (cost 173 ) 0.366 * [simplify]: Simplified to: (- (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) (/ 0.5 (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 (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt 0.5) (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)))) (+ (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 (/ (/ 1.0 (hypot 1.0 x)) (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) 0.366 * * * [progress]: adding candidates to table 0.413 * * [progress]: iteration 2 / 4 0.413 * * * [progress]: picking best candidate 0.419 * * * * [pick]: Picked # 0.419 * * * [progress]: localizing error 0.433 * * * [progress]: generating rewritten candidates 0.433 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.441 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.443 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.445 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.458 * * * [progress]: generating series expansions 0.458 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.459 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 0.459 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.459 * [taylor]: Taking taylor expansion of 0.5 in x 0.459 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.459 * [taylor]: Taking taylor expansion of 0.5 in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.459 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.459 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.459 * [taylor]: Taking taylor expansion of 0.5 in x 0.459 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.459 * [taylor]: Taking taylor expansion of 0.5 in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.459 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.469 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 0.469 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.469 * [taylor]: Taking taylor expansion of 0.5 in x 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.469 * [taylor]: Taking taylor expansion of 0.5 in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.470 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.470 * [taylor]: Taking taylor expansion of 0.5 in x 0.470 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.470 * [taylor]: Taking taylor expansion of 0.5 in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.470 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.482 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 0.482 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.482 * [taylor]: Taking taylor expansion of 0.5 in x 0.482 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.482 * [taylor]: Taking taylor expansion of 0.5 in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.482 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.482 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.482 * [taylor]: Taking taylor expansion of 0.5 in x 0.482 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.482 * [taylor]: Taking taylor expansion of 0.5 in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.482 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.497 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.497 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.497 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.497 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.498 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.498 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.500 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.501 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.503 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.503 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.503 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.504 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.504 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.506 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.508 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.509 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 0.509 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.509 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.509 * [taylor]: Taking taylor expansion of 0.5 in x 0.509 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.509 * [taylor]: Taking taylor expansion of 0.5 in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.509 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.510 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.510 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.510 * [taylor]: Taking taylor expansion of 0.5 in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.510 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.510 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.513 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.513 * [taylor]: Taking taylor expansion of 0.5 in x 0.513 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.513 * [taylor]: Taking taylor expansion of 0.5 in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.513 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.513 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.513 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.513 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.513 * [taylor]: Taking taylor expansion of 0.5 in x 0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.514 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.514 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 0.562 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 0.562 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.562 * [taylor]: Taking taylor expansion of 0.5 in x 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.562 * [taylor]: Taking taylor expansion of 0.5 in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.562 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.562 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.562 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.563 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.563 * [taylor]: Taking taylor expansion of 0.5 in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 0.565 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.565 * [taylor]: Taking taylor expansion of 0.5 in x 0.565 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.566 * [taylor]: Taking taylor expansion of 0.5 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.566 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.566 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.566 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.566 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.566 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.566 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.567 * [taylor]: Taking taylor expansion of 0.5 in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 0.619 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 0.619 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.619 * [taylor]: Taking taylor expansion of 0.5 in x 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.619 * [taylor]: Taking taylor expansion of 0.5 in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.619 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.619 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.619 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.619 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.619 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.621 * [taylor]: Taking taylor expansion of 0.5 in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 0.623 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.623 * [taylor]: Taking taylor expansion of 0.5 in x 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.623 * [taylor]: Taking taylor expansion of 0.5 in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.623 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.623 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.623 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.623 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.623 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.623 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.624 * [taylor]: Taking taylor expansion of 0.5 in x 0.625 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * * * [progress]: simplifying candidates 0.677 * [simplify]: Simplifying using # : (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (/ (hypot 1.0 x) 1.0)) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) 0.5)) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (/ (hypot 1.0 x) 1.0)) (- (* (* 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 (- (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 (- (pow 1.0 3) (pow 0.5 3))) (/ (hypot 1.0 x) 1.0)) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 1))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (/ (hypot 1.0 x) 1.0)) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (/ (hypot 1.0 x) 1.0)) (* (+ 1.0 0.5) 0.5)) (* (+ 1.0 0.5) (/ (hypot 1.0 x) 1.0)) (- (* (* 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)) (- (* (* 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))) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (/ (hypot 1.0 x) 1.0)) (* (+ 1.0 0.5) (* 0.5 1))) (* (+ 1.0 0.5) (/ (hypot 1.0 x) 1.0)) (- (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)))) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (- (- (* 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 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 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 (- 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)))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 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 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (/ (hypot 1.0 x) 1.0))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (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 0.5))) (- (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 0.5))) (/ (hypot 1.0 x) 1.0))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 0.5) (/ (hypot 1.0 x) 1.0))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 0.5) (- (hypot 1.0 x)))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 0.5) (/ (hypot 1.0 x) 1.0))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 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 (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))))) (- 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)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) 0.682 * * [simplify]: iteration 0 : 306 enodes (cost 516 ) 0.688 * * [simplify]: iteration 1 : 1265 enodes (cost 508 ) 0.717 * * [simplify]: iteration 2 : 5002 enodes (cost 501 ) 0.721 * [simplify]: Simplified to: (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (/ (hypot 1.0 x) 1.0)) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) 0.5)) (* (/ (hypot 1.0 x) 1.0) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* 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) (- (* (- (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 (- (pow 1.0 3) (pow 0.5 3))) (/ (hypot 1.0 x) 1.0)) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) 0.5)) (* (/ (hypot 1.0 x) 1.0) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (/ (hypot 1.0 x) 1.0)) (* (+ 1.0 0.5) 0.5)) (* (+ 1.0 0.5) (/ (hypot 1.0 x) 1.0)) (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)) (* (- 1.0) (- (* (- (* 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) 1.0)) (* (+ 1.0 0.5) 0.5)) (* (+ 1.0 0.5) (/ (hypot 1.0 x) 1.0)) (- (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)))) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (- (- (* 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 (- 1.0 0.5)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 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 (- 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)))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 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)))))))) (* (* (/ (hypot 1.0 x) 1.0) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (hypot 1.0 x) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- (hypot 1.0 x)) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (/ (hypot 1.0 x) 1.0) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ 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 0.5) (/ (hypot 1.0 x) 1.0))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 0.5) (- (hypot 1.0 x)))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 0.5) (/ (hypot 1.0 x) 1.0))) (* (+ (* (* 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)))) (+ 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 (- 1.0 0.5)) (* 0.5 (/ 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)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) 0.721 * * * [progress]: adding candidates to table 0.857 * * [progress]: iteration 3 / 4 0.857 * * * [progress]: picking best candidate 0.867 * * * * [pick]: Picked # 0.867 * * * [progress]: localizing error 0.899 * * * [progress]: generating rewritten candidates 0.899 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.914 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.922 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 0.928 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 0.932 * * * [progress]: generating series expansions 0.932 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.935 * [approximate]: Taking taylor expansion of (- (* 0.875 (hypot 1.0 x)) 0.875) in (x) around 0 0.935 * [taylor]: Taking taylor expansion of (- (* 0.875 (hypot 1.0 x)) 0.875) in x 0.935 * [taylor]: Taking taylor expansion of (* 0.875 (hypot 1.0 x)) in x 0.935 * [taylor]: Taking taylor expansion of 0.875 in x 0.935 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.936 * [taylor]: Taking taylor expansion of 0.875 in x 0.936 * [taylor]: Taking taylor expansion of (- (* 0.875 (hypot 1.0 x)) 0.875) in x 0.936 * [taylor]: Taking taylor expansion of (* 0.875 (hypot 1.0 x)) in x 0.936 * [taylor]: Taking taylor expansion of 0.875 in x 0.936 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.936 * [taylor]: Taking taylor expansion of 0.875 in x 0.948 * [approximate]: Taking taylor expansion of (- (* 0.875 (hypot 1.0 (/ 1 x))) 0.875) in (x) around 0 0.948 * [taylor]: Taking taylor expansion of (- (* 0.875 (hypot 1.0 (/ 1 x))) 0.875) in x 0.948 * [taylor]: Taking taylor expansion of (* 0.875 (hypot 1.0 (/ 1 x))) in x 0.948 * [taylor]: Taking taylor expansion of 0.875 in x 0.948 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of 0.875 in x 0.948 * [taylor]: Taking taylor expansion of (- (* 0.875 (hypot 1.0 (/ 1 x))) 0.875) in x 0.948 * [taylor]: Taking taylor expansion of (* 0.875 (hypot 1.0 (/ 1 x))) in x 0.948 * [taylor]: Taking taylor expansion of 0.875 in x 0.948 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.948 * [taylor]: Taking taylor expansion of 0.875 in x 0.960 * [approximate]: Taking taylor expansion of (- (* 0.875 (hypot 1.0 (/ -1 x))) 0.875) in (x) around 0 0.960 * [taylor]: Taking taylor expansion of (- (* 0.875 (hypot 1.0 (/ -1 x))) 0.875) in x 0.960 * [taylor]: Taking taylor expansion of (* 0.875 (hypot 1.0 (/ -1 x))) in x 0.960 * [taylor]: Taking taylor expansion of 0.875 in x 0.960 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.960 * [taylor]: Taking taylor expansion of 0.875 in x 0.960 * [taylor]: Taking taylor expansion of (- (* 0.875 (hypot 1.0 (/ -1 x))) 0.875) in x 0.960 * [taylor]: Taking taylor expansion of (* 0.875 (hypot 1.0 (/ -1 x))) in x 0.960 * [taylor]: Taking taylor expansion of 0.875 in x 0.960 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.960 * [taylor]: Taking taylor expansion of 0.875 in x 0.969 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.970 * [approximate]: Taking taylor expansion of (* -1.75 (hypot 1.0 x)) in (x) around 0 0.971 * [taylor]: Taking taylor expansion of (* -1.75 (hypot 1.0 x)) in x 0.971 * [taylor]: Taking taylor expansion of -1.75 in x 0.971 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.971 * [taylor]: Taking taylor expansion of (* -1.75 (hypot 1.0 x)) in x 0.971 * [taylor]: Taking taylor expansion of -1.75 in x 0.971 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.977 * [approximate]: Taking taylor expansion of (* -1.75 (hypot 1.0 (/ 1 x))) in (x) around 0 0.977 * [taylor]: Taking taylor expansion of (* -1.75 (hypot 1.0 (/ 1 x))) in x 0.977 * [taylor]: Taking taylor expansion of -1.75 in x 0.977 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.978 * [taylor]: Taking taylor expansion of (* -1.75 (hypot 1.0 (/ 1 x))) in x 0.978 * [taylor]: Taking taylor expansion of -1.75 in x 0.978 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.991 * [approximate]: Taking taylor expansion of (* -1.75 (hypot 1.0 (/ -1 x))) in (x) around 0 0.991 * [taylor]: Taking taylor expansion of (* -1.75 (hypot 1.0 (/ -1 x))) in x 0.991 * [taylor]: Taking taylor expansion of -1.75 in x 0.991 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (* -1.75 (hypot 1.0 (/ -1 x))) in x 0.991 * [taylor]: Taking taylor expansion of -1.75 in x 0.991 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.996 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 0.998 * [approximate]: Taking taylor expansion of (* 0.875 (hypot 1.0 x)) in (x) around 0 0.998 * [taylor]: Taking taylor expansion of (* 0.875 (hypot 1.0 x)) in x 0.998 * [taylor]: Taking taylor expansion of 0.875 in x 0.998 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.998 * [taylor]: Taking taylor expansion of (* 0.875 (hypot 1.0 x)) in x 0.998 * [taylor]: Taking taylor expansion of 0.875 in x 0.998 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.005 * [approximate]: Taking taylor expansion of (* 0.875 (hypot 1.0 (/ 1 x))) in (x) around 0 1.005 * [taylor]: Taking taylor expansion of (* 0.875 (hypot 1.0 (/ 1 x))) in x 1.005 * [taylor]: Taking taylor expansion of 0.875 in x 1.005 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.005 * [taylor]: Taking taylor expansion of (* 0.875 (hypot 1.0 (/ 1 x))) in x 1.005 * [taylor]: Taking taylor expansion of 0.875 in x 1.005 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.012 * [approximate]: Taking taylor expansion of (* 0.875 (hypot 1.0 (/ -1 x))) in (x) around 0 1.012 * [taylor]: Taking taylor expansion of (* 0.875 (hypot 1.0 (/ -1 x))) in x 1.012 * [taylor]: Taking taylor expansion of 0.875 in x 1.012 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.012 * [taylor]: Taking taylor expansion of (* 0.875 (hypot 1.0 (/ -1 x))) in x 1.012 * [taylor]: Taking taylor expansion of 0.875 in x 1.012 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.018 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 1.018 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.018 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.018 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.020 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.020 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.020 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.020 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.020 * [taylor]: Taking taylor expansion of 1.0 in x 1.020 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.022 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.022 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.022 * [taylor]: Taking taylor expansion of 1.0 in x 1.022 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.022 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.022 * [taylor]: Taking taylor expansion of 1.0 in x 1.022 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.024 * * * [progress]: simplifying candidates 1.025 * [simplify]: Simplifying using # : (- (* (* (- (pow (pow 1.0 3) 3) (pow (pow 0.5 3) 3)) (hypot 1.0 x)) (+ (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))))) (* (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow 0.5 3) (pow 0.5 3)) (* (pow 1.0 3) (pow 0.5 3)))) (* 0.5 (+ (pow (* 0.5 (+ 0.5 1.0)) 3) (pow (* 1.0 1.0) 3))))) (* (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow 0.5 3) (pow 0.5 3)) (* (pow 1.0 3) (pow 0.5 3)))) (+ (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))))) (- (* (* (- (pow (pow 1.0 3) 3) (pow (pow 0.5 3) 3)) (hypot 1.0 x)) (- (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow 0.5 3) (pow 0.5 3)) (* (pow 1.0 3) (pow 0.5 3)))) (* 0.5 (- (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (* (* 1.0 1.0) (* 1.0 1.0)))))) (* (+ (* (pow 1.0 3) (pow 1.0 3)) (+ (* (pow 0.5 3) (pow 0.5 3)) (* (pow 1.0 3) (pow 0.5 3)))) (- (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (- (* (* (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow 0.5 3) (pow 0.5 3))) (hypot 1.0 x)) (+ (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))))) (* (+ (pow 1.0 3) (pow 0.5 3)) (* 0.5 (+ (pow (* 0.5 (+ 0.5 1.0)) 3) (pow (* 1.0 1.0) 3))))) (* (+ (pow 1.0 3) (pow 0.5 3)) (+ (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))))) (- (* (* (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow 0.5 3) (pow 0.5 3))) (hypot 1.0 x)) (- (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* (+ (pow 1.0 3) (pow 0.5 3)) (* 0.5 (- (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (* (* 1.0 1.0) (* 1.0 1.0)))))) (* (+ (pow 1.0 3) (pow 0.5 3)) (- (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (- (pow (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) 3) (pow (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) 3)) (+ (* (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x))) (+ (* (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 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)))))) (- (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0)))) (- (* (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x))) (* (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 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)))) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* 0.5 (* 0.5 (+ 0.5 1.0)))) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* 0.5 (* 0.5 0.5))) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* 0.5 (* 0.5 1.0))) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* 0.5 (* 0.5 0.5))) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* 0.5 (* 1.0 0.5))) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* 0.5 (* 1.0 1.0))) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (* 0.5 (+ 0.5 1.0)) 0.5)) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (* 0.5 0.5) 0.5)) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (* 0.5 1.0) 0.5)) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (* 0.5 0.5) 0.5)) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (* 1.0 0.5) 0.5)) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (* 1.0 1.0) 0.5)) (- (* 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))) (* (- (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (* (- (hypot 1.0 x)) (* 1.0 1.0)) (* (- (hypot 1.0 x)) (* 0.5 0.5)) (* (- (hypot 1.0 x)) (+ (* 0.5 1.0) (* 1.0 1.0))) (* (- (hypot 1.0 x)) (* 0.5 1.0)) (* (- (hypot 1.0 x)) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (- (hypot 1.0 x)) (* 0.5 0.5)) (* (- (hypot 1.0 x)) (+ (* 1.0 0.5) (* 1.0 1.0))) (* (- (hypot 1.0 x)) (* 1.0 0.5)) (* (- (hypot 1.0 x)) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (- (hypot 1.0 x)) (* 1.0 1.0)) (* (- (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (* (* 0.5 (+ 0.5 1.0)) (- (hypot 1.0 x))) (* (* 1.0 1.0) (- (hypot 1.0 x))) (* (* 0.5 0.5) (- (hypot 1.0 x))) (* (+ (* 0.5 1.0) (* 1.0 1.0)) (- (hypot 1.0 x))) (* (* 0.5 1.0) (- (hypot 1.0 x))) (* (+ (* 0.5 0.5) (* 1.0 1.0)) (- (hypot 1.0 x))) (* (* 0.5 0.5) (- (hypot 1.0 x))) (* (+ (* 1.0 0.5) (* 1.0 1.0)) (- (hypot 1.0 x))) (* (* 1.0 0.5) (- (hypot 1.0 x))) (* (+ (* 0.5 0.5) (* 1.0 1.0)) (- (hypot 1.0 x))) (* (* 1.0 1.0) (- (hypot 1.0 x))) (* (* 0.5 (+ 0.5 1.0)) (- (hypot 1.0 x))) (* (hypot 1.0 x) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* (- (hypot 1.0 x)) (+ (pow (* 0.5 (+ 0.5 1.0)) 3) (pow (* 1.0 1.0) 3))) (* (- (hypot 1.0 x)) (- (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (* (* 1.0 1.0) (* 1.0 1.0)))) (* (- 1.0 0.5) (hypot 1.0 x)) (* (- (pow 1.0 (/ 3 2)) (pow 0.5 (/ 3 2))) (hypot 1.0 x)) (* (- (pow (pow 1.0 3) 3) (pow (pow 0.5 3) 3)) (hypot 1.0 x)) (* (- (* (pow 1.0 3) (pow 1.0 3)) (* (pow 0.5 3) (pow 0.5 3))) (hypot 1.0 x)) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (- (* 0.875 (hypot 1.0 x)) 0.875) (- (* 0.875 (hypot 1.0 x)) 0.875) (- (* 0.875 (hypot 1.0 x)) 0.875) (* -1.75 (hypot 1.0 x)) (* -1.75 (hypot 1.0 x)) (* -1.75 (hypot 1.0 x)) (* 0.875 (hypot 1.0 x)) (* 0.875 (hypot 1.0 x)) (* 0.875 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 1.031 * * [simplify]: iteration 0 : 416 enodes (cost 582 ) 1.038 * * [simplify]: iteration 1 : 1566 enodes (cost 566 ) 1.075 * * [simplify]: iteration 2 : 5001 enodes (cost 566 ) 1.079 * [simplify]: Simplified to: (+ (- (* (* (+ (+ (pow 1.0 6) (pow 0.5 6)) (* (pow 1.0 3) (pow 0.5 3))) 0.5) (+ (pow (* 0.5 (+ 0.5 1.0)) 3) (pow (* 1.0 1.0) 3)))) (* (+ (* (* 1.0 1.0) (- (* 1.0 1.0) (* 0.5 (+ 0.5 1.0)))) (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0)))) (* (- (pow (pow 1.0 3) 3) (pow (pow 0.5 3) 3)) (hypot 1.0 x)))) (* (+ (* (* 1.0 1.0) (- (* 1.0 1.0) (* 0.5 (+ 0.5 1.0)))) (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0)))) (+ (+ (pow 1.0 6) (pow 0.5 6)) (* (pow 1.0 3) (pow 0.5 3)))) (+ (* (* (- (pow (pow 1.0 3) 3) (pow (pow 0.5 3) 3)) (hypot 1.0 x)) (- (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (- (* (* (+ (+ (pow 1.0 6) (pow 0.5 6)) (* (pow 1.0 3) (pow 0.5 3))) 0.5) (- (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (* (* 1.0 1.0) (* 1.0 1.0)))))) (* (- (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0)) (+ (+ (pow 1.0 6) (pow 0.5 6)) (* (pow 1.0 3) (pow 0.5 3)))) (+ (- (* (+ (pow 1.0 3) (pow 0.5 3)) (* 0.5 (+ (pow (* 0.5 (+ 0.5 1.0)) 3) (pow (* 1.0 1.0) 3))))) (* (+ (* (* 1.0 1.0) (- (* 1.0 1.0) (* 0.5 (+ 0.5 1.0)))) (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0)))) (* (hypot 1.0 x) (+ (pow 1.0 6) (- (pow 0.5 6)))))) (* (+ (* (* 1.0 1.0) (- (* 1.0 1.0) (* 0.5 (+ 0.5 1.0)))) (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0)))) (+ (pow 1.0 3) (pow 0.5 3))) (+ (- (* (+ (pow 1.0 3) (pow 0.5 3)) (* 0.5 (- (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (* (* 1.0 1.0) (* 1.0 1.0)))))) (* (- (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0)) (* (hypot 1.0 x) (+ (pow 1.0 6) (- (pow 0.5 6)))))) (* (+ (pow 1.0 3) (pow 0.5 3)) (- (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (- (pow (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) 3) (pow (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) 3)) (+ (* (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)))) (* (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)))) (- (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0)))) (- (* (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x))) (* (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* 0.5 (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 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)))) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (* 0.5 (+ 0.5 1.0)) 0.5)) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (pow 0.5 3)) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* 0.5 (* 1.0 0.5))) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (pow 0.5 3)) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* 0.5 (* 1.0 0.5))) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (* 1.0 1.0) 0.5)) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (* 0.5 (+ 0.5 1.0)) 0.5)) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (pow 0.5 3)) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* 0.5 (* 1.0 0.5))) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (pow 0.5 3)) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* 0.5 (* 1.0 0.5))) (- (* (- (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x)) (* (* 1.0 1.0) 0.5)) (- (* 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))) (* (- (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (* (- (hypot 1.0 x)) (* 1.0 1.0)) (* (- (hypot 1.0 x)) (* 0.5 0.5)) (* (- (* 1.0 (+ 0.5 1.0))) (hypot 1.0 x)) (* (- (hypot 1.0 x)) (* 1.0 0.5)) (* (- (hypot 1.0 x)) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (- (hypot 1.0 x)) (* 0.5 0.5)) (* (- (* 1.0 (+ 0.5 1.0))) (hypot 1.0 x)) (* (- (hypot 1.0 x)) (* 1.0 0.5)) (* (- (hypot 1.0 x)) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (- (hypot 1.0 x)) (* 1.0 1.0)) (* (- (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (* (- (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (* (- (hypot 1.0 x)) (* 1.0 1.0)) (* (- (hypot 1.0 x)) (* 0.5 0.5)) (* (- (* 1.0 (+ 0.5 1.0))) (hypot 1.0 x)) (* (- (hypot 1.0 x)) (* 1.0 0.5)) (* (- (hypot 1.0 x)) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (- (hypot 1.0 x)) (* 0.5 0.5)) (* (- (* 1.0 (+ 0.5 1.0))) (hypot 1.0 x)) (* (- (hypot 1.0 x)) (* 1.0 0.5)) (* (- (hypot 1.0 x)) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (- (hypot 1.0 x)) (* 1.0 1.0)) (* (- (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (* (hypot 1.0 x) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (* (- (hypot 1.0 x)) (+ (pow (* 0.5 (+ 0.5 1.0)) 3) (pow (* 1.0 1.0) 3))) (* (- (hypot 1.0 x)) (- (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (* (* 1.0 1.0) (* 1.0 1.0)))) (* (- 1.0 0.5) (hypot 1.0 x)) (* (- (pow 1.0 3/2) (pow 0.5 3/2)) (hypot 1.0 x)) (* (- (pow (pow 1.0 3) 3) (pow (pow 0.5 3) 3)) (hypot 1.0 x)) (* (hypot 1.0 x) (+ (pow 1.0 6) (- (pow 0.5 6)))) (- 1.0) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (- (* 0.875 (hypot 1.0 x)) 0.875) (- (* 0.875 (hypot 1.0 x)) 0.875) (- (* 0.875 (hypot 1.0 x)) 0.875) (* -1.75 (hypot 1.0 x)) (* -1.75 (hypot 1.0 x)) (* -1.75 (hypot 1.0 x)) (* 0.875 (hypot 1.0 x)) (* 0.875 (hypot 1.0 x)) (* 0.875 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 1.079 * * * [progress]: adding candidates to table 1.486 * * [progress]: iteration 4 / 4 1.486 * * * [progress]: picking best candidate 1.505 * * * * [pick]: Picked # 1.505 * * * [progress]: localizing error 1.520 * * * [progress]: generating rewritten candidates 1.520 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.522 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.529 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.539 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 2) 1.542 * * * [progress]: generating series expansions 1.542 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.542 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 1.542 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.542 * [taylor]: Taking taylor expansion of 0.5 in x 1.542 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.542 * [taylor]: Taking taylor expansion of 0.5 in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.542 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.542 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.542 * [taylor]: Taking taylor expansion of 0.5 in x 1.542 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.542 * [taylor]: Taking taylor expansion of 0.5 in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.542 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.554 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 1.554 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.554 * [taylor]: Taking taylor expansion of 0.5 in x 1.554 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.554 * [taylor]: Taking taylor expansion of 0.5 in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.555 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.555 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.555 * [taylor]: Taking taylor expansion of 0.5 in x 1.555 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.555 * [taylor]: Taking taylor expansion of 0.5 in x 1.555 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.555 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.565 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 1.565 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.565 * [taylor]: Taking taylor expansion of 0.5 in x 1.565 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.565 * [taylor]: Taking taylor expansion of 0.5 in x 1.565 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.565 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.565 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.565 * [taylor]: Taking taylor expansion of 0.5 in x 1.565 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.565 * [taylor]: Taking taylor expansion of 0.5 in x 1.565 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.565 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.575 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.576 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 1.576 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.576 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.576 * [taylor]: Taking taylor expansion of 0.5 in x 1.576 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.576 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.576 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.576 * [taylor]: Taking taylor expansion of 1.0 in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.577 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.577 * [taylor]: Taking taylor expansion of 1.0 in x 1.578 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.578 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.578 * [taylor]: Taking taylor expansion of 0.5 in x 1.578 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.578 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.578 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.578 * [taylor]: Taking taylor expansion of 1.0 in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.578 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.578 * [taylor]: Taking taylor expansion of 1.0 in x 1.600 * [approximate]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) in (x) around 0 1.600 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) in x 1.600 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) in x 1.600 * [taylor]: Taking taylor expansion of (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.600 * [taylor]: Taking taylor expansion of 1.0 in x 1.600 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.600 * [taylor]: Taking taylor expansion of 1.0 in x 1.600 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.600 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.602 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.602 * [taylor]: Taking taylor expansion of 0.5 in x 1.602 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) in x 1.602 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) in x 1.602 * [taylor]: Taking taylor expansion of (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.602 * [taylor]: Taking taylor expansion of 1.0 in x 1.602 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.602 * [taylor]: Taking taylor expansion of 1.0 in x 1.602 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.602 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.604 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.604 * [taylor]: Taking taylor expansion of 0.5 in x 1.624 * [approximate]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) in (x) around 0 1.624 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) in x 1.624 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) in x 1.624 * [taylor]: Taking taylor expansion of (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.624 * [taylor]: Taking taylor expansion of 1.0 in x 1.624 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.624 * [taylor]: Taking taylor expansion of 1.0 in x 1.624 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.624 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.625 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.625 * [taylor]: Taking taylor expansion of 0.5 in x 1.626 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) in x 1.626 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) in x 1.626 * [taylor]: Taking taylor expansion of (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.626 * [taylor]: Taking taylor expansion of 1.0 in x 1.626 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.626 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.627 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.627 * [taylor]: Taking taylor expansion of 0.5 in x 1.649 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.649 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 1.649 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.650 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.650 * [taylor]: Taking taylor expansion of 0.5 in x 1.650 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.650 * [taylor]: Taking taylor expansion of 0.5 in x 1.650 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.650 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.650 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.650 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.650 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.650 * [taylor]: Taking taylor expansion of 0.5 in x 1.650 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.651 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.651 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.651 * [taylor]: Taking taylor expansion of 1.0 in x 1.651 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.651 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.651 * [taylor]: Taking taylor expansion of 1.0 in x 1.652 * [taylor]: Taking taylor expansion of 1.0 in x 1.653 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.653 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.653 * [taylor]: Taking taylor expansion of 0.5 in x 1.653 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.653 * [taylor]: Taking taylor expansion of 0.5 in x 1.653 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.653 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.653 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.653 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.653 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.653 * [taylor]: Taking taylor expansion of 0.5 in x 1.654 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.654 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.654 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.654 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.654 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.654 * [taylor]: Taking taylor expansion of 1.0 in x 1.655 * [taylor]: Taking taylor expansion of 1.0 in x 1.701 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) 1.0)) in (x) around 0 1.701 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) 1.0)) in x 1.701 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.701 * [taylor]: Taking taylor expansion of 0.5 in x 1.701 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.701 * [taylor]: Taking taylor expansion of 0.5 in x 1.701 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.701 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.701 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) 1.0) in x 1.701 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) in x 1.701 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) in x 1.701 * [taylor]: Taking taylor expansion of (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.701 * [taylor]: Taking taylor expansion of 1.0 in x 1.701 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.701 * [taylor]: Taking taylor expansion of 1.0 in x 1.701 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.701 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.702 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.702 * [taylor]: Taking taylor expansion of 0.5 in x 1.703 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) 1.0)) in x 1.705 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.705 * [taylor]: Taking taylor expansion of 0.5 in x 1.705 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.705 * [taylor]: Taking taylor expansion of 0.5 in x 1.705 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.705 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.705 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) 1.0) in x 1.705 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) (sqrt 0.5)) in x 1.705 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))))) in x 1.705 * [taylor]: Taking taylor expansion of (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.705 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.706 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.706 * [taylor]: Taking taylor expansion of 0.5 in x 1.707 * [taylor]: Taking taylor expansion of 1.0 in x 1.755 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) 1.0)) in (x) around 0 1.756 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) 1.0)) in x 1.756 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.756 * [taylor]: Taking taylor expansion of 0.5 in x 1.756 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.756 * [taylor]: Taking taylor expansion of 0.5 in x 1.756 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.756 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.756 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) 1.0) in x 1.756 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) in x 1.756 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) in x 1.756 * [taylor]: Taking taylor expansion of (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.756 * [taylor]: Taking taylor expansion of 1.0 in x 1.756 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.756 * [taylor]: Taking taylor expansion of 1.0 in x 1.756 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.756 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.757 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.757 * [taylor]: Taking taylor expansion of 0.5 in x 1.758 * [taylor]: Taking taylor expansion of 1.0 in x 1.760 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) 1.0)) in x 1.760 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.760 * [taylor]: Taking taylor expansion of 0.5 in x 1.760 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.760 * [taylor]: Taking taylor expansion of 0.5 in x 1.760 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.760 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.760 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) 1.0) in x 1.760 * [taylor]: Taking taylor expansion of (* (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) (sqrt 0.5)) in x 1.760 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))))) in x 1.760 * [taylor]: Taking taylor expansion of (+ 1.0 (* 1.0 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.760 * [taylor]: Taking taylor expansion of 1.0 in x 1.760 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.760 * [taylor]: Taking taylor expansion of 1.0 in x 1.760 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.760 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.761 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.761 * [taylor]: Taking taylor expansion of 0.5 in x 1.762 * [taylor]: Taking taylor expansion of 1.0 in x 1.811 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 2) 1.811 * [approximate]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in (x) around 0 1.811 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.811 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.811 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.811 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.812 * [approximate]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in (x) around 0 1.812 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.812 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.812 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.812 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.814 * [approximate]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in (x) around 0 1.814 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.814 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.814 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.816 * * * [progress]: simplifying candidates 1.816 * [simplify]: Simplifying using # : (- (pow 0.5 3) (pow (* 0.5 (/ 1 (hypot 1.0 x))) 3)) (+ (* 0.5 0.5) (+ (* (* 0.5 (/ 1 (hypot 1.0 x))) (* 0.5 (/ 1 (hypot 1.0 x)))) (* 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))))) (- (* 0.5 (/ 1 (hypot 1.0 x)))) (- (* 0.5 0.5) (* (* 0.5 (/ 1 (hypot 1.0 x))) (* 0.5 (/ 1 (hypot 1.0 x))))) (+ 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- (* 0.5 (/ 1 (hypot 1.0 x)))) (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* 0.5 (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* (sqrt 0.5) (sqrt (+ (/ 1 (hypot 1.0 x)) 1))) (* (sqrt 0.5) (sqrt (+ (pow (* 1.0 (/ 1 (hypot 1.0 x))) 3) (pow 1.0 3)))) (* (sqrt 0.5) (sqrt (- (* (* 1.0 (/ 1 (hypot 1.0 x))) (* 1.0 (/ 1 (hypot 1.0 x)))) (* 1.0 1.0)))) (- (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x))))) (- (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ 0.5 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (* 0.5 (/ 1 (hypot 1.0 x))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ 1 (+ (* (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) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x))))) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) (pow 1.0 3))) (/ (- 0.5 (* 0.5 (/ 1 (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)))) (* 1.0 1.0))) (* (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* 0.5 0.5) (+ (* (* 0.5 (/ 1 (hypot 1.0 x))) (* 0.5 (/ 1 (hypot 1.0 x)))) (* 0.5 (* 0.5 (/ 1 (hypot 1.0 x))))))) (* (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ 0.5 (* 0.5 (/ 1 (hypot 1.0 x))))) (- 1) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ 1 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) 1.820 * * [simplify]: iteration 0 : 167 enodes (cost 284 ) 1.824 * * [simplify]: iteration 1 : 512 enodes (cost 280 ) 1.836 * * [simplify]: iteration 2 : 2497 enodes (cost 267 ) 1.888 * * [simplify]: iteration 3 : 5001 enodes (cost 267 ) 1.890 * [simplify]: Simplified to: (- (pow 0.5 3) (pow (* 0.5 (/ 1 (hypot 1.0 x))) 3)) (+ (* (/ 0.5 (hypot 1.0 x)) (+ (/ 0.5 (hypot 1.0 x)) 0.5)) (* 0.5 0.5)) (/ (- 0.5) (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))) (/ (- 0.5) (hypot 1.0 x)) (* 1.0 (+ (/ 0.5 (hypot 1.0 x)) 0.5)) (* 1.0 (+ (/ 0.5 (hypot 1.0 x)) 0.5)) (* (sqrt 0.5) (sqrt (+ (/ 1 (hypot 1.0 x)) 1))) (* (sqrt 0.5) (sqrt (+ (pow (* 1.0 (/ 1 (hypot 1.0 x))) 3) (pow 1.0 3)))) (* (sqrt 0.5) (sqrt (- (* (* 1.0 (/ 1 (hypot 1.0 x))) (* 1.0 (/ 1 (hypot 1.0 x)))) (* 1.0 1.0)))) (+ (- 0.5) (/ 0.5 (hypot 1.0 x))) (- (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ 0.5 (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ 0.5 (* (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (hypot 1.0 x))) (/ 1 (+ (* (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) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x))))) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) (pow 1.0 3))) (/ (- 0.5 (* 0.5 (/ 1 (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)))) (* 1.0 1.0))) (* (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* 0.5 0.5) (* (/ 0.5 (hypot 1.0 x)) (+ (/ 0.5 (hypot 1.0 x)) 0.5)))) (* (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ 0.5 (/ 0.5 (hypot 1.0 x)))) (- 1) (- (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (hypot 1.0 x) (- 0.5 (/ 0.5 (hypot 1.0 x))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (- 0.5 (/ 0.5 (hypot 1.0 x))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ 1 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) 1.890 * * * [progress]: adding candidates to table 1.969 * [progress]: [Phase 3 of 3] Extracting. 1.969 * * [regime]: Finding splitpoints for: (# # # #) 1.972 * * * [regime-changes]: Trying 7 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) x) 1.972 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 2.003 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # # #) 2.032 * * * * [regimes]: Trying to branch on (+ 1.0 (/ 1.0 (hypot 1.0 x))) from (# # # #) 2.061 * * * * [regimes]: Trying to branch on (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) from (# # # #) 2.088 * * * * [regimes]: Trying to branch on (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) from (# # # #) 2.120 * * * * [regimes]: Trying to branch on (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) from (# # # #) 2.151 * * * * [regimes]: Trying to branch on x from (# # # #) 2.180 * * * [regime]: Found split indices: #