22.318 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.032 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.034 * [simplify]: Sending expressions to egg_math: (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) 0.037 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.038 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.039 * * [simplify]: iteration 2 : 28 enodes (cost 6 ) 0.041 * * [simplify]: iteration 3 : 30 enodes (cost 6 ) 0.042 * * [simplify]: iteration 4 : 35 enodes (cost 6 ) 0.043 * * [simplify]: iteration 5 : 37 enodes (cost 6 ) 0.045 * * [simplify]: iteration 6 : 37 enodes (cost 6 ) 0.045 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.047 * * * * [pick]: Picked # 0.047 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.062 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.074 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.084 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.085 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.085 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.086 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.086 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.086 * [taylor]: Taking taylor expansion of 0.5 in x 0.086 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.087 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.087 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.087 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.088 * [taylor]: Taking taylor expansion of 1.0 in x 0.088 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.088 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.088 * [taylor]: Taking taylor expansion of 0.5 in x 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.089 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.089 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.089 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.117 * [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 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.118 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.118 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.118 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.119 * [taylor]: Taking taylor expansion of 0.5 in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.120 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.120 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.120 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.121 * [taylor]: Taking taylor expansion of 0.5 in x 0.143 * [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 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.143 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.143 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.143 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.144 * [taylor]: Taking taylor expansion of 0.5 in x 0.145 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.145 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.145 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.145 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.146 * [taylor]: Taking taylor expansion of 0.5 in x 0.168 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.169 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.169 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.169 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.169 * [taylor]: Taking taylor expansion of 0.5 in x 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.169 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.169 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.169 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.170 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.170 * [taylor]: Taking taylor expansion of 0.5 in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.171 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.171 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.171 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.198 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.198 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.198 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.198 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.199 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.200 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.200 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.200 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.200 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.200 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.201 * [taylor]: Taking taylor expansion of 0.5 in x 0.220 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.220 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.220 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.220 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.220 * [taylor]: Taking taylor expansion of 1.0 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.220 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.221 * [taylor]: Taking taylor expansion of 0.5 in x 0.222 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.222 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.222 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.222 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.223 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.223 * [taylor]: Taking taylor expansion of 0.5 in x 0.242 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.243 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 0.243 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.243 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.243 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.243 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.243 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.250 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 0.251 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.251 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.251 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 0.259 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.259 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.259 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.259 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.259 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.267 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2) 0.267 * [approximate]: Taking taylor expansion of (hypot 1.0 x) in (x) around 0 0.267 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.267 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.268 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.268 * [approximate]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.268 * * * [progress]: simplifying candidates 0.269 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (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 (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ (* 1.0 (/ 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) (hypot 1.0 x) (hypot 1.0 x) (hypot 1.0 x) 0.269 * [simplify]: Sending expressions to egg_math: (/ (exp h0) (exp (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (log (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (exp (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (cbrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (cbrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))) (cbrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (* (* (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (sqrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (sqrt (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- (pow h0 3) (pow (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) 3)) (+ (* h0 h0) (+ (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))))) (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- (* h0 h0) (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (+ h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (+ (sqrt h0) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- (sqrt h0) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (log (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (exp (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt h1) (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt (* h1 (+ (pow h0 3) (pow (/ h0 (hypot h0 h2)) 3)))) (sqrt (+ (* h0 h0) (- (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (* h0 (/ h0 (hypot h0 h2)))))) (sqrt (* h1 (- (* h0 h0) (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)))))) (sqrt (- h0 (/ h0 (hypot h0 h2)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (exp h0) (exp (/ h0 (hypot h0 h2)))) (log (+ h0 (/ h0 (hypot h0 h2)))) (exp (+ h0 (/ h0 (hypot h0 h2)))) (* (cbrt (+ h0 (/ h0 (hypot h0 h2)))) (cbrt (+ h0 (/ h0 (hypot h0 h2))))) (cbrt (+ h0 (/ h0 (hypot h0 h2)))) (* (* (+ h0 (/ h0 (hypot h0 h2))) (+ h0 (/ h0 (hypot h0 h2)))) (+ h0 (/ h0 (hypot h0 h2)))) (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (+ (pow h0 3) (pow (/ h0 (hypot h0 h2)) 3)) (+ (* h0 h0) (- (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (* h0 (/ h0 (hypot h0 h2))))) (- (* h0 h0) (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)))) (- h0 (/ h0 (hypot h0 h2))) (+ h0 (/ h0 (hypot h0 h2))) (log (hypot h0 h2)) (exp (hypot h0 h2)) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))) (cbrt (hypot h0 h2)) (* (* (hypot h0 h2) (hypot h0 h2)) (hypot h0 h2)) (sqrt (hypot h0 h2)) (sqrt (hypot h0 h2)) (- h0 (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0)))) (- h0 (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0)))) (- h0 (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0)))) (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0))) (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0))) (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0))) (+ (* h0 (/ 1 (hypot h0 h2))) h0) (+ (* h0 (/ 1 (hypot h0 h2))) h0) (+ (* h0 (/ 1 (hypot h0 h2))) h0) (hypot h0 h2) (hypot h0 h2) (hypot h0 h2) 0.273 * * [simplify]: iteration 0 : 167 enodes (cost 381 ) 0.276 * * [simplify]: iteration 1 : 423 enodes (cost 355 ) 0.284 * * [simplify]: iteration 2 : 1736 enodes (cost 353 ) 0.317 * * [simplify]: iteration 3 : 5002 enodes (cost 352 ) 0.319 * [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 (+ (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1.0)) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (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)) (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (log (hypot 1.0 x)) (exp (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x)) (pow (hypot 1.0 x) 3) (sqrt (hypot 1.0 x)) (sqrt (hypot 1.0 x)) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (hypot 1.0 x) (hypot 1.0 x) (hypot 1.0 x) 0.319 * * * [progress]: adding candidates to table 0.445 * * [progress]: iteration 2 / 4 0.445 * * * [progress]: picking best candidate 0.455 * * * * [pick]: Picked # 0.455 * * * [progress]: localizing error 0.470 * * * [progress]: generating rewritten candidates 0.470 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.485 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.496 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 0.501 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 0.511 * * * [progress]: generating series expansions 0.511 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.512 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 0.512 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.512 * [taylor]: Taking taylor expansion of 0.5 in x 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.512 * [taylor]: Taking taylor expansion of 0.5 in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.512 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.512 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.512 * [taylor]: Taking taylor expansion of 0.5 in x 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.512 * [taylor]: Taking taylor expansion of 0.5 in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.512 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.522 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.522 * [taylor]: Taking taylor expansion of 0.5 in x 0.522 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.522 * [taylor]: Taking taylor expansion of 0.5 in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.522 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.522 * [taylor]: Taking taylor expansion of 0.5 in x 0.522 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.522 * [taylor]: Taking taylor expansion of 0.5 in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.522 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.532 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 0.532 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.532 * [taylor]: Taking taylor expansion of 0.5 in x 0.532 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.532 * [taylor]: Taking taylor expansion of 0.5 in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.532 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.532 * [taylor]: Taking taylor expansion of 0.5 in x 0.532 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.532 * [taylor]: Taking taylor expansion of 0.5 in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.532 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.542 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.542 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.542 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.542 * [taylor]: Taking taylor expansion of 0.5 in x 0.543 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.543 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.543 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.544 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.544 * [taylor]: Taking taylor expansion of 0.5 in x 0.545 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.545 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.545 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.566 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 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 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.568 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.568 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.568 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (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 (/ 1 (hypot 1.0 (/ 1 x))) in x 0.568 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.569 * [taylor]: Taking taylor expansion of 0.5 in x 0.588 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 0.588 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.588 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.588 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.588 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.588 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.589 * [taylor]: Taking taylor expansion of 0.5 in x 0.590 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.590 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.590 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.590 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.590 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.591 * [taylor]: Taking taylor expansion of 0.5 in x 0.616 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 0.616 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.616 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.618 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.620 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.620 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.622 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 0.622 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.622 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.624 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.624 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.626 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.626 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.626 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.627 * * * [progress]: simplifying candidates 0.629 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 0.629 * [simplify]: Sending expressions to egg_math: (/ (exp (* h0 (- h0 h1))) (exp (* h1 (/ h0 (hypot h0 h2))))) (log (- (* h0 (- h0 h1)) (* h1 (/ h0 (hypot h0 h2))))) (exp (- (* h0 (- h0 h1)) (* h1 (/ h0 (hypot h0 h2))))) (* (cbrt (- (* h0 (- h0 h1)) (* h1 (/ h0 (hypot h0 h2))))) (cbrt (- (* h0 (- h0 h1)) (* h1 (/ h0 (hypot h0 h2)))))) (cbrt (- (* h0 (- h0 h1)) (* h1 (/ h0 (hypot h0 h2))))) (* (* (- (* h0 (- h0 h1)) (* h1 (/ h0 (hypot h0 h2)))) (- (* h0 (- h0 h1)) (* h1 (/ h0 (hypot h0 h2))))) (- (* h0 (- h0 h1)) (* h1 (/ h0 (hypot h0 h2))))) (sqrt (- (* h0 (- h0 h1)) (* h1 (/ h0 (hypot h0 h2))))) (sqrt (- (* h0 (- h0 h1)) (* h1 (/ h0 (hypot h0 h2))))) (- (* (* h0 (- (pow h0 3) (pow h1 3))) (hypot h0 h2)) (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (* h1 h0))) (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (hypot h0 h2)) (- (* (* h0 (- (* h0 h0) (* h1 h1))) (hypot h0 h2)) (* (+ h0 h1) (* h1 h0))) (* (+ h0 h1) (hypot h0 h2)) (- (pow (* h0 (- h0 h1)) 3) (pow (* h1 (/ h0 (hypot h0 h2))) 3)) (+ (* (* h0 (- h0 h1)) (* h0 (- h0 h1))) (+ (* (* h1 (/ h0 (hypot h0 h2))) (* h1 (/ h0 (hypot h0 h2)))) (* (* h0 (- h0 h1)) (* h1 (/ h0 (hypot h0 h2)))))) (- (* h1 (/ h0 (hypot h0 h2)))) (- (* (* h0 (- h0 h1)) (* h0 (- h0 h1))) (* (* h1 (/ h0 (hypot h0 h2))) (* h1 (/ h0 (hypot h0 h2))))) (+ (* h0 (- h0 h1)) (* h1 (/ h0 (hypot h0 h2)))) (- (* h0 (- h1)) (* h1 (/ h0 (hypot h0 h2)))) (- (* h0 (- h1)) (* h1 (/ h0 (hypot h0 h2)))) (- (* (- h1) h0) (* h1 (/ h0 (hypot h0 h2)))) (- (* (- h1) h0) (* h1 (/ h0 (hypot h0 h2)))) (- (* h1 (/ h0 (hypot h0 h2)))) (log (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (exp (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt h1) (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt (* h1 (+ (pow h0 3) (pow (/ h0 (hypot h0 h2)) 3)))) (sqrt (+ (* h0 h0) (- (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (* h0 (/ h0 (hypot h0 h2)))))) (sqrt (* h1 (- (* h0 h0) (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)))))) (sqrt (- h0 (/ h0 (hypot h0 h2)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- (log h0) (log (hypot h0 h2))) (log (/ h0 (hypot h0 h2))) (exp (/ h0 (hypot h0 h2))) (/ (* (* h0 h0) h0) (* (* (hypot h0 h2) (hypot h0 h2)) (hypot h0 h2))) (* (cbrt (/ h0 (hypot h0 h2))) (cbrt (/ h0 (hypot h0 h2)))) (cbrt (/ h0 (hypot h0 h2))) (* (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (/ h0 (hypot h0 h2))) (sqrt (/ h0 (hypot h0 h2))) (sqrt (/ h0 (hypot h0 h2))) (- h0) (- (hypot h0 h2)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ (cbrt h0) (cbrt (hypot h0 h2))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (hypot h0 h2))) (/ (cbrt h0) (sqrt (hypot h0 h2))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (hypot h0 h2)) (/ (sqrt h0) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ (sqrt h0) (cbrt (hypot h0 h2))) (/ (sqrt h0) (sqrt (hypot h0 h2))) (/ (sqrt h0) (sqrt (hypot h0 h2))) (/ (sqrt h0) 1) (/ (sqrt h0) (hypot h0 h2)) (/ 1 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ h0 (cbrt (hypot h0 h2))) (/ 1 (sqrt (hypot h0 h2))) (/ h0 (sqrt (hypot h0 h2))) (/ 1 1) (/ h0 (hypot h0 h2)) (/ 1 (hypot h0 h2)) (/ (hypot h0 h2) h0) (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ h0 (sqrt (hypot h0 h2))) (/ h0 1) (/ (hypot h0 h2) (cbrt h0)) (/ (hypot h0 h2) (sqrt h0)) (/ (hypot h0 h2) h0) (- (log h0) (log (hypot h0 h2))) (log (/ h0 (hypot h0 h2))) (exp (/ h0 (hypot h0 h2))) (/ (* (* h0 h0) h0) (* (* (hypot h0 h2) (hypot h0 h2)) (hypot h0 h2))) (* (cbrt (/ h0 (hypot h0 h2))) (cbrt (/ h0 (hypot h0 h2)))) (cbrt (/ h0 (hypot h0 h2))) (* (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (/ h0 (hypot h0 h2))) (sqrt (/ h0 (hypot h0 h2))) (sqrt (/ h0 (hypot h0 h2))) (- h0) (- (hypot h0 h2)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ (cbrt h0) (cbrt (hypot h0 h2))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (hypot h0 h2))) (/ (cbrt h0) (sqrt (hypot h0 h2))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (hypot h0 h2)) (/ (sqrt h0) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ (sqrt h0) (cbrt (hypot h0 h2))) (/ (sqrt h0) (sqrt (hypot h0 h2))) (/ (sqrt h0) (sqrt (hypot h0 h2))) (/ (sqrt h0) 1) (/ (sqrt h0) (hypot h0 h2)) (/ 1 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ h0 (cbrt (hypot h0 h2))) (/ 1 (sqrt (hypot h0 h2))) (/ h0 (sqrt (hypot h0 h2))) (/ 1 1) (/ h0 (hypot h0 h2)) (/ 1 (hypot h0 h2)) (/ (hypot h0 h2) h0) (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ h0 (sqrt (hypot h0 h2))) (/ h0 1) (/ (hypot h0 h2) (cbrt h0)) (/ (hypot h0 h2) (sqrt h0)) (/ (hypot h0 h2) h0) (- h1 (* h1 (/ 1 (hypot h0 h2)))) (- h1 (* h1 (/ 1 (hypot h0 h2)))) (- h1 (* h1 (/ 1 (hypot h0 h2)))) (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0))) (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0))) (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0))) (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)) 0.634 * * [simplify]: iteration 0 : 299 enodes (cost 576 ) 0.640 * * [simplify]: iteration 1 : 1026 enodes (cost 547 ) 0.663 * * [simplify]: iteration 2 : 5001 enodes (cost 544 ) 0.666 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- 0.5 (* 0.5 (/ 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))) (/ 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)) 0.667 * * * [progress]: adding candidates to table 0.931 * * [progress]: iteration 3 / 4 0.931 * * * [progress]: picking best candidate 0.943 * * * * [pick]: Picked # 0.943 * * * [progress]: localizing error 0.967 * * * [progress]: generating rewritten candidates 0.967 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.996 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.007 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 1.012 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 1.024 * * * [progress]: generating series expansions 1.024 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.026 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in (x) around 0 1.026 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.026 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.026 * [taylor]: Taking taylor expansion of 0.75 in x 1.026 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.026 * [taylor]: Taking taylor expansion of 0.75 in x 1.026 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.026 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.026 * [taylor]: Taking taylor expansion of 0.75 in x 1.026 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.026 * [taylor]: Taking taylor expansion of 0.75 in x 1.035 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in (x) around 0 1.035 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.035 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.035 * [taylor]: Taking taylor expansion of 0.75 in x 1.036 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.036 * [taylor]: Taking taylor expansion of 0.75 in x 1.036 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.036 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.036 * [taylor]: Taking taylor expansion of 0.75 in x 1.036 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.036 * [taylor]: Taking taylor expansion of 0.75 in x 1.045 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in (x) around 0 1.045 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.045 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.045 * [taylor]: Taking taylor expansion of 0.75 in x 1.045 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.046 * [taylor]: Taking taylor expansion of 0.75 in x 1.046 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.046 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.046 * [taylor]: Taking taylor expansion of 0.75 in x 1.046 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.046 * [taylor]: Taking taylor expansion of 0.75 in x 1.054 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.054 * [approximate]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in (x) around 0 1.054 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.054 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.054 * [taylor]: Taking taylor expansion of 0.5 in x 1.055 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.055 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.055 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.055 * [taylor]: Taking taylor expansion of 1.0 in x 1.055 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.055 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.055 * [taylor]: Taking taylor expansion of 1.0 in x 1.056 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.056 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.056 * [taylor]: Taking taylor expansion of 0.5 in x 1.060 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.060 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.060 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.060 * [taylor]: Taking taylor expansion of 1.0 in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.060 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.061 * [taylor]: Taking taylor expansion of 1.0 in x 1.082 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 1.082 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.082 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.082 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.083 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.083 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.083 * [taylor]: Taking taylor expansion of 1.0 in x 1.084 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.084 * [taylor]: Taking taylor expansion of 0.5 in x 1.084 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.084 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.084 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.084 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.084 * [taylor]: Taking taylor expansion of 1.0 in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.084 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.085 * [taylor]: Taking taylor expansion of 1.0 in x 1.085 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.085 * [taylor]: Taking taylor expansion of 0.5 in x 1.105 * [approximate]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in (x) around 0 1.105 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.105 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.105 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.105 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.105 * [taylor]: Taking taylor expansion of 1.0 in x 1.105 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.105 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.106 * [taylor]: Taking taylor expansion of 1.0 in x 1.106 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.106 * [taylor]: Taking taylor expansion of 0.5 in x 1.107 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.107 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.107 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.107 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.107 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.107 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.107 * [taylor]: Taking taylor expansion of 1.0 in x 1.108 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.108 * [taylor]: Taking taylor expansion of 0.5 in x 1.128 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 1.128 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.128 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.128 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.128 * [taylor]: Taking taylor expansion of 1.0 in x 1.128 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.130 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.130 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.130 * [taylor]: Taking taylor expansion of 1.0 in x 1.130 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.132 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.132 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.132 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.133 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 1.134 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in (x) around 0 1.134 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.134 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.134 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.134 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.134 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in (x) around 0 1.142 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.142 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.142 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.142 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.142 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.151 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in (x) around 0 1.151 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.151 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (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 (/ 1 (hypot 1.0 (/ -1 x))) 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 in x 1.151 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.151 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (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 (/ 1 (hypot 1.0 (/ -1 x))) 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 in x 1.167 * * * [progress]: simplifying candidates 1.168 * [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 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (* (exp 1.0) (exp (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (* (+ 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (/ 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) 1.169 * [simplify]: Sending expressions to egg_math: (/ (exp (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2))) (exp (* h1 (+ h1 h0)))) (log (- (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 (+ h1 h0)))) (exp (- (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 (+ h1 h0)))) (* (cbrt (- (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 (+ h1 h0)))) (cbrt (- (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 (+ h1 h0))))) (cbrt (- (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 (+ h1 h0)))) (* (* (- (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 (+ h1 h0))) (- (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 (+ h1 h0)))) (- (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 (+ h1 h0)))) (sqrt (- (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 (+ h1 h0)))) (sqrt (- (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 (+ h1 h0)))) (- (* (* (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (hypot h0 h2)) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (* h1 (+ (pow h1 3) (pow h0 3))))) (* (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (- (* (* (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (hypot h0 h2)) (- h1 h0)) (* (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (* h1 (- (* h1 h1) (* h0 h0))))) (* (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- h1 h0)) (- (* (* (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (hypot h0 h2)) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (* h0 h0) (* h1 h1)) (* h1 (+ (pow h1 3) (pow h0 3))))) (* (+ (* h0 h0) (* h1 h1)) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (- (* (* (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (hypot h0 h2)) (- h1 h0)) (* (+ (* h0 h0) (* h1 h1)) (* h1 (- (* h1 h1) (* h0 h0))))) (* (+ (* h0 h0) (* h1 h1)) (- h1 h0)) (- (pow (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) 3) (pow (* h1 (+ h1 h0)) 3)) (+ (* (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2))) (+ (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (* (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 (+ h1 h0))))) (- (* h1 (+ h1 h0))) (- (* (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2))) (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0)))) (+ (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 (+ h1 h0))) (- (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 h1)) (- (* (- (* h0 h0) (* h1 h1)) (hypot h0 h2)) (* h1 h1)) (- (* h1 (+ h1 h0))) (log (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (exp (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))))) (cbrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (* (* (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt h1) (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt (* h1 (+ (pow h0 3) (pow (/ h0 (hypot h0 h2)) 3)))) (sqrt (+ (* h0 h0) (- (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (* h0 (/ h0 (hypot h0 h2)))))) (sqrt (* h1 (- (* h0 h0) (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)))))) (sqrt (- h0 (/ h0 (hypot h0 h2)))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (sqrt (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) (- (log h0) (log (hypot h0 h2))) (log (/ h0 (hypot h0 h2))) (exp (/ h0 (hypot h0 h2))) (/ (* (* h0 h0) h0) (* (* (hypot h0 h2) (hypot h0 h2)) (hypot h0 h2))) (* (cbrt (/ h0 (hypot h0 h2))) (cbrt (/ h0 (hypot h0 h2)))) (cbrt (/ h0 (hypot h0 h2))) (* (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (/ h0 (hypot h0 h2))) (sqrt (/ h0 (hypot h0 h2))) (sqrt (/ h0 (hypot h0 h2))) (- h0) (- (hypot h0 h2)) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ (cbrt h0) (cbrt (hypot h0 h2))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (hypot h0 h2))) (/ (cbrt h0) (sqrt (hypot h0 h2))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (hypot h0 h2)) (/ (sqrt h0) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ (sqrt h0) (cbrt (hypot h0 h2))) (/ (sqrt h0) (sqrt (hypot h0 h2))) (/ (sqrt h0) (sqrt (hypot h0 h2))) (/ (sqrt h0) 1) (/ (sqrt h0) (hypot h0 h2)) (/ 1 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ h0 (cbrt (hypot h0 h2))) (/ 1 (sqrt (hypot h0 h2))) (/ h0 (sqrt (hypot h0 h2))) (/ 1 1) (/ h0 (hypot h0 h2)) (/ 1 (hypot h0 h2)) (/ (hypot h0 h2) h0) (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (/ h0 (sqrt (hypot h0 h2))) (/ h0 1) (/ (hypot h0 h2) (cbrt h0)) (/ (hypot h0 h2) (sqrt h0)) (/ (hypot h0 h2) h0) (* (exp h0) (exp (/ h0 (hypot h0 h2)))) (log (+ h0 (/ h0 (hypot h0 h2)))) (exp (+ h0 (/ h0 (hypot h0 h2)))) (* (cbrt (+ h0 (/ h0 (hypot h0 h2)))) (cbrt (+ h0 (/ h0 (hypot h0 h2))))) (cbrt (+ h0 (/ h0 (hypot h0 h2)))) (* (* (+ h0 (/ h0 (hypot h0 h2))) (+ h0 (/ h0 (hypot h0 h2)))) (+ h0 (/ h0 (hypot h0 h2)))) (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (sqrt (+ h0 (/ h0 (hypot h0 h2)))) (+ (pow h0 3) (pow (/ h0 (hypot h0 h2)) 3)) (+ (* h0 h0) (- (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2))) (* h0 (/ h0 (hypot h0 h2))))) (- (* h0 h0) (* (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)))) (- h0 (/ h0 (hypot h0 h2))) (+ h0 (/ h0 (hypot h0 h2))) (- (* h3 (hypot h0 h2)) h3) (- (* h3 (hypot h0 h2)) h3) (- (* h3 (hypot h0 h2)) h3) (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0))) (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0))) (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0))) (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)) (+ (* h0 (/ 1 (hypot h0 h2))) h0) (+ (* h0 (/ 1 (hypot h0 h2))) h0) (+ (* h0 (/ 1 (hypot h0 h2))) h0) 1.174 * * [simplify]: iteration 0 : 417 enodes (cost 649 ) 1.183 * * [simplify]: iteration 1 : 1680 enodes (cost 608 ) 1.215 * * [simplify]: iteration 2 : 5001 enodes (cost 608 ) 1.218 * [simplify]: Simplified to: (exp (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (log (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (exp (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (pow (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) 3) (sqrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (sqrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (+ (* (- (+ (* (* 0.5 0.5) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (pow 1.0 3) 1.0))) (* 0.5 (+ (pow 0.5 3) (pow 1.0 3)))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5)) (* (- (pow (* 1.0 1.0) 3) (pow (* 0.5 0.5) 3)) (hypot 1.0 x)))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5)) (+ (* (* 0.5 0.5) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (pow 1.0 3) 1.0))) (+ (* (- (+ (* (* 0.5 0.5) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (pow 1.0 3) 1.0))) (* 0.5 (- (* 0.5 0.5) (* 1.0 1.0)))) (* (* (- (pow (* 1.0 1.0) 3) (pow (* 0.5 0.5) 3)) (hypot 1.0 x)) (- 0.5 1.0))) (* (- 0.5 1.0) (+ (* (* 0.5 0.5) (+ (* 0.5 0.5) (* 1.0 1.0))) (* (pow 1.0 3) 1.0))) (+ (- (* (+ (* 1.0 1.0) (* 0.5 0.5)) (* 0.5 (+ (pow 0.5 3) (pow 1.0 3))))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5)) (* (hypot 1.0 x) (+ (* (pow 1.0 3) 1.0) (- (* (pow 0.5 3) 0.5)))))) (* (+ (* 1.0 (- 1.0 0.5)) (* 0.5 0.5)) (+ (* 1.0 1.0) (* 0.5 0.5))) (- (* (* (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 0.5) (* 0.5 0.5))) (hypot 1.0 x)) (- 0.5 1.0)) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (* 0.5 (- (* 0.5 0.5) (* 1.0 1.0))))) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (- 0.5 1.0)) (- (pow (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) 3) (pow (* 0.5 (+ 0.5 1.0)) 3)) (+ (* (* 0.5 (+ 0.5 1.0)) (+ (* 0.5 (+ 0.5 1.0)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)))) (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)))) (- (* 0.5 (+ 0.5 1.0))) (- (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0)))) (+ (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 0.5)) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 0.5)) (- (* 0.5 (+ 0.5 1.0))) (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) (sqrt 0.5) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) 1/2 1/2 (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (log (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (exp (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (cbrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (+ 1.0 (/ 1.0 (hypot 1.0 x))) 3) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)) (+ (* (/ 1.0 (hypot 1.0 x)) (- (/ 1.0 (hypot 1.0 x)) 1.0)) (* 1.0 1.0)) (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ 1.0 (/ 1.0 (hypot 1.0 x))) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) (/ 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))) 1.219 * * * [progress]: adding candidates to table 1.713 * * [progress]: iteration 4 / 4 1.713 * * * [progress]: picking best candidate 1.725 * * * * [pick]: Picked # 1.725 * * * [progress]: localizing error 1.745 * * * [progress]: generating rewritten candidates 1.745 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.760 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 2) 1.773 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 2) 1.774 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1 2 2) 1.777 * * * [progress]: generating series expansions 1.777 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.778 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 1.778 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.778 * [taylor]: Taking taylor expansion of 0.5 in x 1.778 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.778 * [taylor]: Taking taylor expansion of 0.5 in x 1.778 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.778 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.779 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 1.779 * [taylor]: Taking taylor expansion of 0.5 in x 1.779 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 1.779 * [taylor]: Taking taylor expansion of 0.5 in x 1.779 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.779 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.788 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 1.788 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.788 * [taylor]: Taking taylor expansion of 0.5 in x 1.789 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.789 * [taylor]: Taking taylor expansion of 0.5 in x 1.789 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.789 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.789 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 1.789 * [taylor]: Taking taylor expansion of 0.5 in x 1.789 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.789 * [taylor]: Taking taylor expansion of 0.5 in x 1.789 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.789 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.799 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 1.799 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.799 * [taylor]: Taking taylor expansion of 0.5 in x 1.799 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.799 * [taylor]: Taking taylor expansion of 0.5 in x 1.799 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.799 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.799 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 1.799 * [taylor]: Taking taylor expansion of 0.5 in x 1.799 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.799 * [taylor]: Taking taylor expansion of 0.5 in x 1.799 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.799 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.808 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 2) 1.809 * [approximate]: Taking taylor expansion of (pow (pow (hypot 1.0 x) 2) 1/3) in (x) around 0 1.809 * [taylor]: Taking taylor expansion of (pow (pow (hypot 1.0 x) 2) 1/3) in x 1.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot 1.0 x) 2)))) in x 1.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot 1.0 x) 2))) in x 1.809 * [taylor]: Taking taylor expansion of 1/3 in x 1.809 * [taylor]: Taking taylor expansion of (log (pow (hypot 1.0 x) 2)) in x 1.809 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.809 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.809 * [taylor]: Taking taylor expansion of (pow (pow (hypot 1.0 x) 2) 1/3) in x 1.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot 1.0 x) 2)))) in x 1.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot 1.0 x) 2))) in x 1.809 * [taylor]: Taking taylor expansion of 1/3 in x 1.809 * [taylor]: Taking taylor expansion of (log (pow (hypot 1.0 x) 2)) in x 1.809 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 2) in x 1.809 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.847 * [approximate]: Taking taylor expansion of (pow (pow (hypot 1.0 (/ 1 x)) 2) 1/3) in (x) around 0 1.848 * [taylor]: Taking taylor expansion of (pow (pow (hypot 1.0 (/ 1 x)) 2) 1/3) in x 1.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot 1.0 (/ 1 x)) 2)))) in x 1.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot 1.0 (/ 1 x)) 2))) in x 1.848 * [taylor]: Taking taylor expansion of 1/3 in x 1.848 * [taylor]: Taking taylor expansion of (log (pow (hypot 1.0 (/ 1 x)) 2)) in x 1.848 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 1.848 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.848 * [taylor]: Taking taylor expansion of (pow (pow (hypot 1.0 (/ 1 x)) 2) 1/3) in x 1.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot 1.0 (/ 1 x)) 2)))) in x 1.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot 1.0 (/ 1 x)) 2))) in x 1.848 * [taylor]: Taking taylor expansion of 1/3 in x 1.848 * [taylor]: Taking taylor expansion of (log (pow (hypot 1.0 (/ 1 x)) 2)) in x 1.848 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 2) in x 1.848 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.891 * [approximate]: Taking taylor expansion of (pow (pow (hypot 1.0 (/ -1 x)) 2) 1/3) in (x) around 0 1.891 * [taylor]: Taking taylor expansion of (pow (pow (hypot 1.0 (/ -1 x)) 2) 1/3) in x 1.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot 1.0 (/ -1 x)) 2)))) in x 1.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot 1.0 (/ -1 x)) 2))) in x 1.891 * [taylor]: Taking taylor expansion of 1/3 in x 1.891 * [taylor]: Taking taylor expansion of (log (pow (hypot 1.0 (/ -1 x)) 2)) in x 1.891 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 1.891 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.891 * [taylor]: Taking taylor expansion of (pow (pow (hypot 1.0 (/ -1 x)) 2) 1/3) in x 1.892 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot 1.0 (/ -1 x)) 2)))) in x 1.892 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot 1.0 (/ -1 x)) 2))) in x 1.892 * [taylor]: Taking taylor expansion of 1/3 in x 1.892 * [taylor]: Taking taylor expansion of (log (pow (hypot 1.0 (/ -1 x)) 2)) in x 1.892 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 2) in x 1.892 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.930 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 2) 1.930 * [approximate]: Taking taylor expansion of (pow (hypot 1.0 x) 1/3) in (x) around 0 1.930 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 1/3) in x 1.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot 1.0 x)))) in x 1.930 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot 1.0 x))) in x 1.930 * [taylor]: Taking taylor expansion of 1/3 in x 1.930 * [taylor]: Taking taylor expansion of (log (hypot 1.0 x)) in x 1.930 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.931 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 1/3) in x 1.931 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot 1.0 x)))) in x 1.931 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot 1.0 x))) in x 1.931 * [taylor]: Taking taylor expansion of 1/3 in x 1.931 * [taylor]: Taking taylor expansion of (log (hypot 1.0 x)) in x 1.931 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.967 * [approximate]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 1/3) in (x) around 0 1.967 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 1/3) in x 1.967 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot 1.0 (/ 1 x))))) in x 1.967 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot 1.0 (/ 1 x)))) in x 1.967 * [taylor]: Taking taylor expansion of 1/3 in x 1.967 * [taylor]: Taking taylor expansion of (log (hypot 1.0 (/ 1 x))) in x 1.967 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.968 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 1/3) in x 1.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot 1.0 (/ 1 x))))) in x 1.968 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot 1.0 (/ 1 x)))) in x 1.968 * [taylor]: Taking taylor expansion of 1/3 in x 1.968 * [taylor]: Taking taylor expansion of (log (hypot 1.0 (/ 1 x))) in x 1.968 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.001 * [approximate]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 1/3) in (x) around 0 2.001 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 1/3) in x 2.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot 1.0 (/ -1 x))))) in x 2.001 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot 1.0 (/ -1 x)))) in x 2.001 * [taylor]: Taking taylor expansion of 1/3 in x 2.001 * [taylor]: Taking taylor expansion of (log (hypot 1.0 (/ -1 x))) in x 2.001 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.001 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 1/3) in x 2.001 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot 1.0 (/ -1 x))))) in x 2.001 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot 1.0 (/ -1 x)))) in x 2.001 * [taylor]: Taking taylor expansion of 1/3 in x 2.001 * [taylor]: Taking taylor expansion of (log (hypot 1.0 (/ -1 x))) in x 2.001 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.034 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1 2 2) 2.035 * [approximate]: Taking taylor expansion of (pow (hypot 1.0 x) 1/3) in (x) around 0 2.035 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 1/3) in x 2.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot 1.0 x)))) in x 2.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot 1.0 x))) in x 2.035 * [taylor]: Taking taylor expansion of 1/3 in x 2.035 * [taylor]: Taking taylor expansion of (log (hypot 1.0 x)) in x 2.035 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.035 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 x) 1/3) in x 2.035 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot 1.0 x)))) in x 2.035 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot 1.0 x))) in x 2.035 * [taylor]: Taking taylor expansion of 1/3 in x 2.035 * [taylor]: Taking taylor expansion of (log (hypot 1.0 x)) in x 2.035 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.071 * [approximate]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 1/3) in (x) around 0 2.071 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 1/3) in x 2.071 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot 1.0 (/ 1 x))))) in x 2.071 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot 1.0 (/ 1 x)))) in x 2.071 * [taylor]: Taking taylor expansion of 1/3 in x 2.071 * [taylor]: Taking taylor expansion of (log (hypot 1.0 (/ 1 x))) in x 2.071 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.071 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ 1 x)) 1/3) in x 2.071 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot 1.0 (/ 1 x))))) in x 2.071 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot 1.0 (/ 1 x)))) in x 2.071 * [taylor]: Taking taylor expansion of 1/3 in x 2.071 * [taylor]: Taking taylor expansion of (log (hypot 1.0 (/ 1 x))) in x 2.071 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.105 * [approximate]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 1/3) in (x) around 0 2.105 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 1/3) in x 2.105 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot 1.0 (/ -1 x))))) in x 2.105 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot 1.0 (/ -1 x)))) in x 2.105 * [taylor]: Taking taylor expansion of 1/3 in x 2.105 * [taylor]: Taking taylor expansion of (log (hypot 1.0 (/ -1 x))) in x 2.105 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.106 * [taylor]: Taking taylor expansion of (pow (hypot 1.0 (/ -1 x)) 1/3) in x 2.106 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot 1.0 (/ -1 x))))) in x 2.106 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot 1.0 (/ -1 x)))) in x 2.106 * [taylor]: Taking taylor expansion of 1/3 in x 2.106 * [taylor]: Taking taylor expansion of (log (hypot 1.0 (/ -1 x))) in x 2.106 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.143 * * * [progress]: simplifying candidates 2.145 * [simplify]: Simplifying using # : (/ (exp (* 1.0 (- 1.0 0.5))) (exp (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (* (* (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (cbrt (hypot 1.0 x))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (cbrt (hypot 1.0 x))) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (cbrt (hypot 1.0 x))) (* (+ 1.0 0.5) (* 0.5 (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))))) (* (+ 1.0 0.5) (cbrt (hypot 1.0 x))) (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))) 3)) (+ (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (+ (* (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x))))) (* (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x))))))) (- (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x))))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x))))) (- (* 1.0 (- 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x))))) (- (* 1.0 (- 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x))))) (- (* (- 0.5) 1.0) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x))))) (- (* (- 0.5) 1.0) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x))))) (- (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x))))) (+ 1/3 1/3) (+ 1 1) (* (hypot 1.0 x) (hypot 1.0 x)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (+ 1 1) (+ (log (cbrt (hypot 1.0 x))) (log (cbrt (hypot 1.0 x)))) (log (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (exp (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (* (hypot 1.0 x) (hypot 1.0 x)) (* (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))) (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (* (* (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (sqrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (sqrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (* (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))) (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (cbrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (* (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (cbrt (hypot 1.0 x)))) (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (cbrt (hypot 1.0 x))))) (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (cbrt (hypot 1.0 x)))) (* (sqrt (cbrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (* (sqrt (cbrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (* 1 1) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (* (sqrt (cbrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x)))) (* (sqrt (cbrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x)))) (* (sqrt (cbrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (* (sqrt (cbrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (* 2 1/3) (* 2 1) (* (cbrt (hypot 1.0 x)) (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))) (* (cbrt (hypot 1.0 x)) (cbrt (sqrt (hypot 1.0 x)))) (* (cbrt (hypot 1.0 x)) (cbrt 1)) (* (cbrt (hypot 1.0 x)) (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (cbrt (hypot 1.0 x))))) (* (cbrt (hypot 1.0 x)) (sqrt (cbrt (hypot 1.0 x)))) (* (cbrt (hypot 1.0 x)) 1) (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (hypot 1.0 x))) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x))) (* (sqrt (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x))) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (log (cbrt (hypot 1.0 x))) (exp (cbrt (hypot 1.0 x))) (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (cbrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))) (cbrt 1) (cbrt (hypot 1.0 x)) (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (cbrt (hypot 1.0 x)))) (cbrt (cbrt (hypot 1.0 x))) (* (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x))) (log (cbrt (hypot 1.0 x))) (exp (cbrt (hypot 1.0 x))) (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (cbrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))) (cbrt 1) (cbrt (hypot 1.0 x)) (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (cbrt (hypot 1.0 x)))) (cbrt (cbrt (hypot 1.0 x))) (* (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))) (cbrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x))) (sqrt (cbrt (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)))) (pow (pow (hypot 1.0 x) 2) 1/3) (pow (pow (hypot 1.0 x) 2) 1/3) (pow (pow (hypot 1.0 x) 2) 1/3) (pow (hypot 1.0 x) 1/3) (pow (hypot 1.0 x) 1/3) (pow (hypot 1.0 x) 1/3) (pow (hypot 1.0 x) 1/3) (pow (hypot 1.0 x) 1/3) (pow (hypot 1.0 x) 1/3) 2.145 * [simplify]: Sending expressions to egg_math: (/ (exp (* h0 (- h0 h1))) (exp (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))))) (log (- (* h0 (- h0 h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))))) (exp (- (* h0 (- h0 h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))))) (* (cbrt (- (* h0 (- h0 h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))))) (cbrt (- (* h0 (- h0 h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2))))))) (cbrt (- (* h0 (- h0 h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))))) (* (* (- (* h0 (- h0 h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2))))) (- (* h0 (- h0 h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))))) (- (* h0 (- h0 h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))))) (sqrt (- (* h0 (- h0 h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))))) (sqrt (- (* h0 (- h0 h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))))) (- (* (* h0 (- (pow h0 3) (pow h1 3))) (cbrt (hypot h0 h2))) (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (* h1 (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))))))) (* (+ (* h0 h0) (+ (* h1 h1) (* h0 h1))) (cbrt (hypot h0 h2))) (- (* (* h0 (- (* h0 h0) (* h1 h1))) (cbrt (hypot h0 h2))) (* (+ h0 h1) (* h1 (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))))))) (* (+ h0 h1) (cbrt (hypot h0 h2))) (- (pow (* h0 (- h0 h1)) 3) (pow (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))) 3)) (+ (* (* h0 (- h0 h1)) (* h0 (- h0 h1))) (+ (* (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2))))) (* (* h0 (- h0 h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2))))))) (- (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2))))) (- (* (* h0 (- h0 h1)) (* h0 (- h0 h1))) (* (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2)))))) (+ (* h0 (- h0 h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2))))) (- (* h0 (- h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2))))) (- (* h0 (- h1)) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2))))) (- (* (- h1) h0) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2))))) (- (* (- h1) h0) (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2))))) (- (* h1 (/ (/ h0 (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (hypot h0 h2))))) (+ 1/3 1/3) (+ 1 1) (* (hypot h0 h2) (hypot h0 h2)) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))) (+ 1 1) (+ (log (cbrt (hypot h0 h2))) (log (cbrt (hypot h0 h2)))) (log (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (exp (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (* (hypot h0 h2) (hypot h0 h2)) (* (cbrt (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))))) (cbrt (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (* (* (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (sqrt (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (sqrt (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (* (cbrt (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))))) (* (cbrt (cbrt (hypot h0 h2))) (cbrt (cbrt (hypot h0 h2)))) (* (cbrt (sqrt (hypot h0 h2))) (cbrt (sqrt (hypot h0 h2)))) (* (cbrt (sqrt (hypot h0 h2))) (cbrt (sqrt (hypot h0 h2)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))) (* (* (cbrt (cbrt (hypot h0 h2))) (cbrt (cbrt (hypot h0 h2)))) (* (cbrt (cbrt (hypot h0 h2))) (cbrt (cbrt (hypot h0 h2))))) (* (cbrt (cbrt (hypot h0 h2))) (cbrt (cbrt (hypot h0 h2)))) (* (sqrt (cbrt (hypot h0 h2))) (sqrt (cbrt (hypot h0 h2)))) (* (sqrt (cbrt (hypot h0 h2))) (sqrt (cbrt (hypot h0 h2)))) (* 1 1) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))) (* (cbrt (sqrt (hypot h0 h2))) (cbrt (sqrt (hypot h0 h2)))) (* (cbrt (sqrt (hypot h0 h2))) (cbrt (sqrt (hypot h0 h2)))) (* (cbrt (sqrt (hypot h0 h2))) (sqrt (cbrt (hypot h0 h2)))) (* (cbrt (sqrt (hypot h0 h2))) (sqrt (cbrt (hypot h0 h2)))) (* (sqrt (cbrt (hypot h0 h2))) (cbrt (sqrt (hypot h0 h2)))) (* (sqrt (cbrt (hypot h0 h2))) (cbrt (sqrt (hypot h0 h2)))) (* (sqrt (cbrt (hypot h0 h2))) (sqrt (cbrt (hypot h0 h2)))) (* (sqrt (cbrt (hypot h0 h2))) (sqrt (cbrt (hypot h0 h2)))) (* 2 1/3) (* 2 1) (* (cbrt (hypot h0 h2)) (cbrt (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))))) (* (cbrt (hypot h0 h2)) (cbrt (sqrt (hypot h0 h2)))) (* (cbrt (hypot h0 h2)) (cbrt 1)) (* (cbrt (hypot h0 h2)) (* (cbrt (cbrt (hypot h0 h2))) (cbrt (cbrt (hypot h0 h2))))) (* (cbrt (hypot h0 h2)) (sqrt (cbrt (hypot h0 h2)))) (* (cbrt (hypot h0 h2)) 1) (* (cbrt (cbrt (hypot h0 h2))) (cbrt (hypot h0 h2))) (* (cbrt (sqrt (hypot h0 h2))) (cbrt (hypot h0 h2))) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))) (* (cbrt (cbrt (hypot h0 h2))) (cbrt (hypot h0 h2))) (* (sqrt (cbrt (hypot h0 h2))) (cbrt (hypot h0 h2))) (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))) (log (cbrt (hypot h0 h2))) (exp (cbrt (hypot h0 h2))) (cbrt (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (cbrt (hypot h0 h2))) (cbrt (sqrt (hypot h0 h2))) (cbrt (sqrt (hypot h0 h2))) (cbrt 1) (cbrt (hypot h0 h2)) (* (cbrt (cbrt (hypot h0 h2))) (cbrt (cbrt (hypot h0 h2)))) (cbrt (cbrt (hypot h0 h2))) (* (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))) (cbrt (hypot h0 h2))) (sqrt (cbrt (hypot h0 h2))) (sqrt (cbrt (hypot h0 h2))) (log (cbrt (hypot h0 h2))) (exp (cbrt (hypot h0 h2))) (cbrt (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2)))) (cbrt (cbrt (hypot h0 h2))) (cbrt (sqrt (hypot h0 h2))) (cbrt (sqrt (hypot h0 h2))) (cbrt 1) (cbrt (hypot h0 h2)) (* (cbrt (cbrt (hypot h0 h2))) (cbrt (cbrt (hypot h0 h2)))) (cbrt (cbrt (hypot h0 h2))) (* (* (cbrt (hypot h0 h2)) (cbrt (hypot h0 h2))) (cbrt (hypot h0 h2))) (sqrt (cbrt (hypot h0 h2))) (sqrt (cbrt (hypot h0 h2))) (- h1 (* h1 (/ 1 (hypot h0 h2)))) (- h1 (* h1 (/ 1 (hypot h0 h2)))) (- h1 (* h1 (/ 1 (hypot h0 h2)))) (pow (pow (hypot h0 h2) 2) 1/3) (pow (pow (hypot h0 h2) 2) 1/3) (pow (pow (hypot h0 h2) 2) 1/3) (pow (hypot h0 h2) 1/3) (pow (hypot h0 h2) 1/3) (pow (hypot h0 h2) 1/3) (pow (hypot h0 h2) 1/3) (pow (hypot h0 h2) 1/3) (pow (hypot h0 h2) 1/3) 2.150 * * [simplify]: iteration 0 : 250 enodes (cost 746 ) 2.156 * * [simplify]: iteration 1 : 1101 enodes (cost 640 ) 2.188 * * [simplify]: iteration 2 : 5001 enodes (cost 581 ) 2.192 * [simplify]: Simplified to: (* (pow (exp 0.5) (/ (- 1.0) (pow (pow (hypot 1.0 x) 1/3) 3))) (exp (* 1.0 (- 1.0 0.5)))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (* (pow (exp 0.5) (/ (- 1.0) (pow (pow (hypot 1.0 x) 1/3) 3))) (exp (* 1.0 (- 1.0 0.5)))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x))))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (pow (+ (/ (* 1.0 (- 0.5)) (pow (pow (hypot 1.0 x) 1/3) 3)) (* 1.0 (- 1.0 0.5))) 3) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (hypot 1.0 x)))))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (cbrt (hypot 1.0 x))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))))) (* (pow (hypot 1.0 x) 1/3) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (cbrt (hypot 1.0 x))) (* (+ 1.0 0.5) (* 0.5 (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))))) (* (+ 1.0 0.5) (cbrt (hypot 1.0 x))) (+ (* (- (pow 0.5 3)) (/ (pow 1.0 3) (pow (pow (pow (hypot 1.0 x) 1/3) 3) 3))) (pow (* 1.0 (- 1.0 0.5)) 3)) (+ (* 1.0 (+ (* (- 1.0 0.5) (* 1.0 (- 1.0 0.5))) (* (/ (- 1.0 0.5) 1) (* (/ 0.5 (hypot 1.0 x)) (/ 1.0 1))))) (* (* 0.5 0.5) (* (/ (/ (/ 1.0 (pow (hypot 1.0 x) 1/3)) (pow (hypot 1.0 x) 2/3)) (hypot 1.0 x)) (/ 1.0 1)))) (* (/ (- 0.5) (hypot 1.0 x)) (/ 1.0 1)) (+ (+ (* (- 0.5) (* (/ 1.0 1) (/ (* (/ 0.5 (hypot 1.0 x)) (/ 1.0 1)) (hypot 1.0 x)))) (* (* (* 1.0 (- 1.0 0.5)) 1.0) 1.0)) (* (* (* 1.0 (- 1.0 0.5)) 1.0) (- 0.5))) (+ (+ (* (/ 0.5 (hypot 1.0 x)) (/ 1.0 1)) (* 1.0 1.0)) (* 1.0 (- 0.5))) (- (+ (* (/ 0.5 (hypot 1.0 x)) (/ 1.0 1)) (* 1.0 0.5))) (- (+ (* (/ 0.5 (hypot 1.0 x)) (/ 1.0 1)) (* 1.0 0.5))) (- (+ (* (/ 0.5 (hypot 1.0 x)) (/ 1.0 1)) (* 1.0 0.5))) (- (+ (* (/ 0.5 (hypot 1.0 x)) (/ 1.0 1)) (* 1.0 0.5))) (* (/ (- 0.5) (hypot 1.0 x)) (/ 1.0 1)) 2/3 2 (pow (hypot 1.0 x) 2) (pow (hypot 1.0 x) 2/3) 2 (* 2/3 (log (hypot 1.0 x))) (* 2/3 (log (hypot 1.0 x))) (pow (exp 1) (pow (hypot 1.0 x) 2/3)) (pow (hypot 1.0 x) 2) (* (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))) (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (pow (hypot 1.0 x) 2) (fabs (pow (hypot 1.0 x) 1/3)) (fabs (pow (hypot 1.0 x) 1/3)) (* (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))) (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (cbrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x)))) 1 (pow (hypot 1.0 x) 2/3) (pow (cbrt (cbrt (hypot 1.0 x))) 4) (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (cbrt (hypot 1.0 x)))) (pow (hypot 1.0 x) 1/3) (pow (hypot 1.0 x) 1/3) 1 (pow (hypot 1.0 x) 2/3) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (* (cbrt (sqrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x)))) (pow (hypot 1.0 x) 1/3) (pow (hypot 1.0 x) 1/3) 2/3 2 (* (cbrt (hypot 1.0 x)) (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x))))) (* (cbrt (hypot 1.0 x)) (cbrt (sqrt (hypot 1.0 x)))) (pow (hypot 1.0 x) 1/3) (* (pow (cbrt (cbrt (hypot 1.0 x))) 4) (cbrt (cbrt (hypot 1.0 x)))) (pow (sqrt (cbrt (hypot 1.0 x))) 3) (pow (hypot 1.0 x) 1/3) (pow (cbrt (cbrt (hypot 1.0 x))) 4) (* (cbrt (hypot 1.0 x)) (cbrt (sqrt (hypot 1.0 x)))) (pow (hypot 1.0 x) 2/3) (pow (cbrt (cbrt (hypot 1.0 x))) 4) (pow (sqrt (cbrt (hypot 1.0 x))) 3) (pow (hypot 1.0 x) 2/3) (log (cbrt (hypot 1.0 x))) (exp (cbrt (hypot 1.0 x))) (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (cbrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))) 1 (pow (hypot 1.0 x) 1/3) (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (cbrt (hypot 1.0 x)))) (cbrt (cbrt (hypot 1.0 x))) (hypot 1.0 x) (sqrt (cbrt (hypot 1.0 x))) (sqrt (cbrt (hypot 1.0 x))) (log (cbrt (hypot 1.0 x))) (exp (cbrt (hypot 1.0 x))) (cbrt (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (cbrt (cbrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))) (cbrt (sqrt (hypot 1.0 x))) 1 (pow (hypot 1.0 x) 1/3) (* (cbrt (cbrt (hypot 1.0 x))) (cbrt (cbrt (hypot 1.0 x)))) (cbrt (cbrt (hypot 1.0 x))) (hypot 1.0 x) (sqrt (cbrt (hypot 1.0 x))) (sqrt (cbrt (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)))) (pow (pow (hypot 1.0 x) 2) 1/3) (pow (pow (hypot 1.0 x) 2) 1/3) (pow (pow (hypot 1.0 x) 2) 1/3) (pow (hypot 1.0 x) 1/3) (pow (hypot 1.0 x) 1/3) (pow (hypot 1.0 x) 1/3) (pow (hypot 1.0 x) 1/3) (pow (hypot 1.0 x) 1/3) (pow (hypot 1.0 x) 1/3) 2.192 * * * [progress]: adding candidates to table 2.471 * [progress]: [Phase 3 of 3] Extracting. 2.471 * * [regime]: Finding splitpoints for: (# # # #) 2.473 * * * [regime-changes]: Trying 2 branch expressions: ((hypot 1.0 x) x) 2.473 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # # #) 2.494 * * * * [regimes]: Trying to branch on x from (# # # #) 2.516 * * * [regime]: Found split indices: #