13.987 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.036 * [simplify]: Sending expressions to egg_math: (- h0 (sqrt (* h1 (+ h0 (/ h0 (hypot h0 h2)))))) 0.038 * * [simplify]: iteration 0 : 19 enodes (cost 6 ) 0.039 * * [simplify]: iteration 1 : 24 enodes (cost 6 ) 0.041 * * [simplify]: iteration 2 : 28 enodes (cost 6 ) 0.042 * * [simplify]: iteration 3 : 30 enodes (cost 6 ) 0.043 * * [simplify]: iteration 4 : 35 enodes (cost 6 ) 0.045 * * [simplify]: iteration 5 : 37 enodes (cost 6 ) 0.046 * * [simplify]: iteration 6 : 37 enodes (cost 6 ) 0.046 * [simplify]: Simplified to: (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.062 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.067 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in (x) around 0 0.067 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.067 * [taylor]: Taking taylor expansion of 1.0 in x 0.068 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.068 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.068 * [taylor]: Taking taylor expansion of 0.5 in x 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.069 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.069 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.069 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.071 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.071 * [taylor]: Taking taylor expansion of 0.5 in x 0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.072 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.072 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.072 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.072 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [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 0.096 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.096 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.096 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.096 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.097 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.097 * [taylor]: Taking taylor expansion of 0.5 in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.098 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.098 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.099 * [taylor]: Taking taylor expansion of 0.5 in x 0.127 * [approximate]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in (x) around 0 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.127 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.127 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.127 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.128 * [taylor]: Taking taylor expansion of 0.5 in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.129 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.129 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.130 * [taylor]: Taking taylor expansion of 0.5 in x 0.152 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 2) 0.152 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.152 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.154 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.154 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.156 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.156 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.157 * * * [progress]: simplifying candidates 0.158 * [simplify]: Simplifying using # : (/ (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (+ (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 0.159 * [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 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) (- 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)))) (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)) 0.162 * * [simplify]: iteration 0 : 157 enodes (cost 308 ) 0.165 * * [simplify]: iteration 1 : 484 enodes (cost 286 ) 0.172 * * [simplify]: iteration 2 : 1409 enodes (cost 284 ) 0.199 * * [simplify]: iteration 3 : 5001 enodes (cost 284 ) 0.201 * [simplify]: Simplified to: (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- (sqrt 1.0) (sqrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (/ 1.0 (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (pow (/ 1.0 (hypot 1.0 x)) 3) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (sqrt 1.0) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) 1 (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) 1.0 (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (- 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) 0.201 * * * [progress]: adding candidates to table 0.301 * * [progress]: iteration 2 / 4 0.301 * * * [progress]: picking best candidate 0.306 * * * * [pick]: Picked # 0.306 * * * [progress]: localizing error 0.319 * * * [progress]: generating rewritten candidates 0.319 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.334 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 0.339 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 0.347 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.391 * * * [progress]: generating series expansions 0.391 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.392 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in (x) around 0 0.392 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.392 * [taylor]: Taking taylor expansion of 0.5 in x 0.392 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.392 * [taylor]: Taking taylor expansion of 0.5 in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.392 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.392 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.392 * [taylor]: Taking taylor expansion of 0.5 in x 0.392 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.392 * [taylor]: Taking taylor expansion of 0.5 in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.392 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.402 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in (x) around 0 0.402 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.402 * [taylor]: Taking taylor expansion of 0.5 in x 0.402 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.402 * [taylor]: Taking taylor expansion of 0.5 in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.402 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.402 * [taylor]: Taking taylor expansion of 0.5 in x 0.402 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.402 * [taylor]: Taking taylor expansion of 0.5 in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.402 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.413 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in (x) around 0 0.413 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.413 * [taylor]: Taking taylor expansion of 0.5 in x 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.413 * [taylor]: Taking taylor expansion of 0.5 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.413 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.413 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.413 * [taylor]: Taking taylor expansion of 0.5 in x 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.413 * [taylor]: Taking taylor expansion of 0.5 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.413 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.426 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 0.426 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.426 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.428 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.428 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.428 * [taylor]: Taking taylor expansion of 1.0 in x 0.428 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.430 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.430 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.430 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.432 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 0.432 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 0.432 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.432 * [taylor]: Taking taylor expansion of 1.0 in x 0.432 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 0.432 * [taylor]: Taking taylor expansion of 1.0 in x 0.432 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.433 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.436 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 0.436 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.436 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.438 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.439 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in (x) around 0 0.439 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.439 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.439 * [taylor]: Taking taylor expansion of 0.5 in x 0.439 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.439 * [taylor]: Taking taylor expansion of 0.5 in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.439 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.439 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.439 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.439 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.439 * [taylor]: Taking taylor expansion of 0.5 in x 0.440 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.440 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.440 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 0.442 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) in x 0.442 * [taylor]: Taking taylor expansion of 0.5 in x 0.442 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 x))) in x 0.442 * [taylor]: Taking taylor expansion of 0.5 in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.442 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.442 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 0.442 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 0.442 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.442 * [taylor]: Taking taylor expansion of 0.5 in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 0.443 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 0.443 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 0.443 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of 1.0 in x 0.486 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 0.487 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 0.487 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.487 * [taylor]: Taking taylor expansion of 0.5 in x 0.487 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.487 * [taylor]: Taking taylor expansion of 0.5 in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.487 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.487 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.487 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.487 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.487 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of 1.0 in x 0.488 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.488 * [taylor]: Taking taylor expansion of 0.5 in x 0.489 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 0.490 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ 1 x))))) in x 0.490 * [taylor]: Taking taylor expansion of 0.5 in x 0.490 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.490 * [taylor]: Taking taylor expansion of 0.5 in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.490 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 0.490 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 0.490 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of 1.0 in x 0.491 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.491 * [taylor]: Taking taylor expansion of 0.5 in x 0.492 * [taylor]: Taking taylor expansion of 1.0 in x 0.539 * [approximate]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in (x) around 0 0.539 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 0.539 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.539 * [taylor]: Taking taylor expansion of 0.5 in x 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.539 * [taylor]: Taking taylor expansion of 0.5 in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.539 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.540 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.540 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.540 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.540 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.541 * [taylor]: Taking taylor expansion of 0.5 in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 0.543 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.5 (/ 1 (hypot 1.0 (/ -1 x))))) in x 0.543 * [taylor]: Taking taylor expansion of 0.5 in x 0.543 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (hypot 1.0 (/ -1 x)))) in x 0.543 * [taylor]: Taking taylor expansion of 0.5 in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 0.543 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.543 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 0.543 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 0.543 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 0.543 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 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 (/ -1 x))) in x 0.543 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 0.543 * [taylor]: Taking taylor expansion of 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 1.0 in x 0.587 * * * [progress]: simplifying candidates 0.589 * [simplify]: Simplifying using # : (/ (exp (* 1.0 (- 1.0 0.5))) (exp (* 0.5 (/ 1.0 (hypot 1.0 x))))) (log (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (exp (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (* (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (sqrt (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- (* (* 1.0 (- (pow 1.0 3) (pow 0.5 3))) (hypot 1.0 x)) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (* 0.5 1.0))) (* (+ (* 1.0 1.0) (+ (* 0.5 0.5) (* 1.0 0.5))) (hypot 1.0 x)) (- (* (* 1.0 (- (* 1.0 1.0) (* 0.5 0.5))) (hypot 1.0 x)) (* (+ 1.0 0.5) (* 0.5 1.0))) (* (+ 1.0 0.5) (hypot 1.0 x)) (- (pow (* 1.0 (- 1.0 0.5)) 3) (pow (* 0.5 (/ 1.0 (hypot 1.0 x))) 3)) (+ (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (+ (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (- (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5))) (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (- 0.5) 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* (- 0.5) 1.0) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 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(* 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 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (* (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 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (- (* 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 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3))) (/ (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* 1.0 1.0) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (hypot 1.0 x) (+ (* 0.5 (+ 0.5 1.0)) (* 1.0 1.0))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (+ (* (* 0.5 (/ 1.0 (hypot 1.0 x))) (+ (* 0.5 (/ 1.0 (hypot 1.0 x))) (* 1.0 (- 1.0 0.5)))) (* (* 1.0 (- 1.0 0.5)) (* 1.0 (- 1.0 0.5)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) (/ (- 0.5 (* 0.5 (/ 1 (hypot 1.0 x)))) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) 0.643 * * * [progress]: adding candidates to table 0.965 * * [progress]: iteration 3 / 4 0.965 * * * [progress]: picking best candidate 0.971 * * * * [pick]: Picked # 0.971 * * * [progress]: localizing error 0.991 * * * [progress]: generating rewritten candidates 0.991 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.016 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2) 1.023 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.028 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.069 * * * [progress]: generating series expansions 1.069 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 1.070 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in (x) around 0 1.070 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.070 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.070 * [taylor]: Taking taylor expansion of 0.75 in x 1.070 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.071 * [taylor]: Taking taylor expansion of 0.75 in x 1.071 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.071 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.071 * [taylor]: Taking taylor expansion of 0.75 in x 1.071 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.071 * [taylor]: Taking taylor expansion of 0.75 in x 1.080 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in (x) around 0 1.080 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.080 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.080 * [taylor]: Taking taylor expansion of 0.75 in x 1.080 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.080 * [taylor]: Taking taylor expansion of 0.75 in x 1.080 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.080 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.080 * [taylor]: Taking taylor expansion of 0.75 in x 1.080 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.080 * [taylor]: Taking taylor expansion of 0.75 in x 1.093 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in (x) around 0 1.093 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.093 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.093 * [taylor]: Taking taylor expansion of 0.75 in x 1.093 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.093 * [taylor]: Taking taylor expansion of 0.75 in x 1.093 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.093 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.093 * [taylor]: Taking taylor expansion of 0.75 in x 1.093 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.093 * [taylor]: Taking taylor expansion of 0.75 in x 1.101 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2) 1.101 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in (x) around 0 1.101 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.101 * [taylor]: Taking taylor expansion of 1.0 in x 1.101 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.101 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 x)) in x 1.101 * [taylor]: Taking taylor expansion of 1.0 in x 1.101 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.103 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in (x) around 0 1.103 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ 1 x))) in x 1.103 * [taylor]: Taking taylor expansion of 1.0 in x 1.103 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.105 * [approximate]: Taking taylor expansion of (/ 1.0 (hypot 1.0 (/ -1 x))) in (x) around 0 1.105 * [taylor]: Taking taylor expansion of (/ 1.0 (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 (hypot 1.0 (/ -1 x)) in x 1.105 * [taylor]: Taking taylor expansion of (/ 1.0 (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 (hypot 1.0 (/ -1 x)) in x 1.107 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.107 * [approximate]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in (x) around 0 1.107 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.107 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.107 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.107 * [taylor]: Taking taylor expansion of 0.5 in x 1.108 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.108 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.108 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.108 * [taylor]: Taking taylor expansion of 1.0 in x 1.108 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.108 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.108 * [taylor]: Taking taylor expansion of 1.0 in x 1.109 * [taylor]: Taking taylor expansion of 1.0 in x 1.109 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.109 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.109 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.109 * [taylor]: Taking taylor expansion of 0.5 in x 1.110 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.110 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.110 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.110 * [taylor]: Taking taylor expansion of 1.0 in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.110 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.110 * [taylor]: Taking taylor expansion of 1.0 in x 1.111 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.133 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.133 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.133 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.133 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.133 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.133 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.133 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.134 * [taylor]: Taking taylor expansion of 0.5 in x 1.135 * [taylor]: Taking taylor expansion of 1.0 in x 1.135 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.135 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.135 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.135 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.135 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.135 * [taylor]: Taking taylor expansion of 1.0 in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.135 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.135 * [taylor]: Taking taylor expansion of 1.0 in x 1.136 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.136 * [taylor]: Taking taylor expansion of 0.5 in x 1.136 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [approximate]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in (x) around 0 1.157 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.157 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.157 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.157 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.157 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.157 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.157 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.158 * [taylor]: Taking taylor expansion of 0.5 in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.158 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.159 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.159 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.159 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.159 * [taylor]: Taking taylor expansion of 1.0 in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.159 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.159 * [taylor]: Taking taylor expansion of 1.0 in x 1.160 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.160 * [taylor]: Taking taylor expansion of 0.5 in x 1.160 * [taylor]: Taking taylor expansion of 1.0 in x 1.185 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.187 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in (x) around 0 1.187 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 1.187 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.187 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 1.187 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.187 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.187 * [taylor]: Taking taylor expansion of 0.75 in x 1.187 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.187 * [taylor]: Taking taylor expansion of 0.75 in x 1.187 * [taylor]: Taking taylor expansion of (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.187 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.187 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.187 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.187 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.187 * [taylor]: Taking taylor expansion of 0.5 in x 1.188 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.188 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.188 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.188 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.191 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) in x 1.191 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.191 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0))) in x 1.191 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 1.191 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 1.191 * [taylor]: Taking taylor expansion of 0.75 in x 1.191 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.191 * [taylor]: Taking taylor expansion of 0.75 in x 1.191 * [taylor]: Taking taylor expansion of (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)) in x 1.191 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.192 * [taylor]: Taking taylor expansion of (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) in x 1.192 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 1.192 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.192 * [taylor]: Taking taylor expansion of 0.5 in x 1.192 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 1.192 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 1.192 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 1.192 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.193 * [taylor]: Taking taylor expansion of 1.0 in x 1.251 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in (x) around 0 1.251 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 1.252 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.252 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.252 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.252 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.252 * [taylor]: Taking taylor expansion of 0.75 in x 1.252 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.252 * [taylor]: Taking taylor expansion of 0.75 in x 1.252 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.252 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.252 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.252 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.252 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.252 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.252 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.252 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.252 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.252 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.253 * [taylor]: Taking taylor expansion of 0.5 in x 1.254 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)))) in x 1.256 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.256 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0))) in x 1.256 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 1.256 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 1.256 * [taylor]: Taking taylor expansion of 0.75 in x 1.256 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of 0.75 in x 1.256 * [taylor]: Taking taylor expansion of (* (hypot 1.0 (/ 1 x)) (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0)) in x 1.256 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.256 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 1.256 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 1.256 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 1.256 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 1.256 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.257 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.257 * [taylor]: Taking taylor expansion of 0.5 in x 1.258 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [approximate]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x))))) in (x) around 0 1.323 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x))))) in x 1.323 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.323 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x)))) in x 1.323 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.323 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.323 * [taylor]: Taking taylor expansion of 0.75 in x 1.323 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.323 * [taylor]: Taking taylor expansion of 0.75 in x 1.323 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x))) in x 1.323 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.323 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.323 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.323 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.323 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.323 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.324 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.324 * [taylor]: Taking taylor expansion of 0.5 in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.327 * [taylor]: Taking taylor expansion of (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x))))) in x 1.327 * [taylor]: Taking taylor expansion of 0.6666666666666666 in x 1.327 * [taylor]: Taking taylor expansion of (/ (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x)))) in x 1.327 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 1.327 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 1.327 * [taylor]: Taking taylor expansion of 0.75 in x 1.327 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.327 * [taylor]: Taking taylor expansion of 0.75 in x 1.327 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) (hypot 1.0 (/ -1 x))) in x 1.327 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 1.0) in x 1.327 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 1.327 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 1.327 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 1.327 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 1.327 * [taylor]: Taking taylor expansion of 1.0 in x 1.327 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 1.327 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.327 * [taylor]: Taking taylor expansion of 1.0 in x 1.328 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 1.328 * [taylor]: Taking taylor expansion of 0.5 in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 1.392 * * * [progress]: simplifying candidates 1.395 * [simplify]: Simplifying using # : (/ (exp (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (exp (* 0.5 (+ 0.5 1.0)))) (log (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (exp (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (cbrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (* (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (sqrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (sqrt (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (- (* (* (- (pow (* 1.0 1.0) 3) (pow (* 0.5 0.5) 3)) (hypot 1.0 x)) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0)))) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (* 1.0 1.0) (* 0.5 0.5)))) (* 0.5 (+ (pow 0.5 3) (pow 1.0 3))))) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (* 1.0 1.0) (* 0.5 0.5)))) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0)))) (- (* (* (- (pow (* 1.0 1.0) 3) (pow (* 0.5 0.5) 3)) (hypot 1.0 x)) (- 0.5 1.0)) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (* 1.0 1.0) (* 0.5 0.5)))) (* 0.5 (- (* 0.5 0.5) (* 1.0 1.0))))) (* (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* 0.5 0.5) (* 0.5 0.5)) (* (* 1.0 1.0) (* 0.5 0.5)))) (- 0.5 1.0)) (- (* (* (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 0.5) (* 0.5 0.5))) (hypot 1.0 x)) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0)))) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (* 0.5 (+ (pow 0.5 3) (pow 1.0 3))))) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (+ (* 0.5 0.5) (- (* 1.0 1.0) (* 0.5 1.0)))) (- (* (* (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* 0.5 0.5) (* 0.5 0.5))) (hypot 1.0 x)) (- 0.5 1.0)) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (* 0.5 (- (* 0.5 0.5) (* 1.0 1.0))))) (* (+ (* 1.0 1.0) (* 0.5 0.5)) (- 0.5 1.0)) (- (pow (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) 3) (pow (* 0.5 (+ 0.5 1.0)) 3)) (+ (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (+ (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0))) (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (- (* 0.5 (+ 0.5 1.0))) (- (* (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (* (* 0.5 (+ 0.5 1.0)) (* 0.5 (+ 0.5 1.0)))) (+ (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 0.5)) (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 0.5)) (- (* 0.5 (+ 0.5 1.0))) (- (log 1.0) (log (hypot 1.0 x))) (log (/ 1.0 (hypot 1.0 x))) (exp (/ 1.0 (hypot 1.0 x))) (/ (* (* 1.0 1.0) 1.0) (* (* (hypot 1.0 x) (hypot 1.0 x)) (hypot 1.0 x))) (* (cbrt (/ 1.0 (hypot 1.0 x))) (cbrt (/ 1.0 (hypot 1.0 x)))) (cbrt (/ 1.0 (hypot 1.0 x))) (* (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (sqrt (/ 1.0 (hypot 1.0 x))) (- 1.0) (- (hypot 1.0 x)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (cbrt 1.0) (cbrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (hypot 1.0 x))) (/ (cbrt 1.0) (sqrt (hypot 1.0 x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (hypot 1.0 x)) (/ (sqrt 1.0) (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ (sqrt 1.0) (cbrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) (sqrt (hypot 1.0 x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (hypot 1.0 x)) (/ 1 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (cbrt (hypot 1.0 x))) (/ 1 (sqrt (hypot 1.0 x))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1 1) (/ 1.0 (hypot 1.0 x)) (/ 1 (hypot 1.0 x)) (/ (hypot 1.0 x) 1.0) (/ 1.0 (* (cbrt (hypot 1.0 x)) (cbrt (hypot 1.0 x)))) (/ 1.0 (sqrt (hypot 1.0 x))) (/ 1.0 1) (/ (hypot 1.0 x) (cbrt 1.0)) (/ (hypot 1.0 x) (sqrt 1.0)) (/ (hypot 1.0 x) 1.0) (* (exp 1.0) (exp (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (exp (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (+ (pow 1.0 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (* 1.0 1.0) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (- 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- (- (+ (log 1.0) (log (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (+ (log (+ 1.0 0.5)) (log (hypot 1.0 x)))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (- (+ (log 1.0) (log (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (log (* (+ 1.0 0.5) (hypot 1.0 x)))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (- (log (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (+ (log (+ 1.0 0.5)) (log (hypot 1.0 x)))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (- (log (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))))) (log (* (+ 1.0 0.5) (hypot 1.0 x)))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (- (log (/ (* 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)))) (log (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (log (/ (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (exp (/ (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (/ (* (* (* 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 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) (+ 1.0 0.5)) (+ 1.0 0.5)) (* (* (hypot 1.0 x) (hypot 1.0 x)) (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)))))))) (/ (/ (* (* (* 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 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))))) (* 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h0 h2)) h3) (- (* h3 (hypot h0 h2)) h3) (- (* h3 (hypot h0 h2)) h3) (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)) (/ h0 (hypot h0 h2)) (+ (* (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))) h0) (* h4 (/ (- (* h3 (hypot h0 h2)) h3) (* (hypot h0 h2) (+ (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0))) h0)))) (* h4 (/ (- (* h3 (hypot h0 h2)) h3) (* (hypot h0 h2) (+ (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0))) h0)))) (* h4 (/ (- (* h3 (hypot h0 h2)) h3) (* (hypot h0 h2) (+ (* (sqrt h1) (sqrt (+ (* h0 (/ 1 (hypot h0 h2))) h0))) h0)))) 1.407 * * [simplify]: iteration 0 : 782 enodes (cost 2521 ) 1.423 * * [simplify]: iteration 1 : 4246 enodes (cost 2222 ) 1.491 * * [simplify]: iteration 2 : 5001 enodes (cost 2222 ) 1.501 * [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 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(cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))))) (/ (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))))) (/ (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))))) (/ (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (sqrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (* (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))))))))) (/ (sqrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (sqrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (sqrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (/ (sqrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (sqrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (/ (sqrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ 1.0 (+ 1.0 0.5)) (* (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 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (hypot 1.0 x)) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (/ 1.0 (+ 1.0 0.5)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (/ (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (hypot 1.0 x)) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1.0 (+ 1.0 0.5)) (/ (/ (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (hypot 1.0 x)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1.0 (+ 1.0 0.5)) (/ (/ (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (hypot 1.0 x)) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (* (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 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ 1 (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) 1 (/ (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) 1 (/ (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (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 (* (+ 1.0 0.5) (hypot 1.0 x))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (/ 1 (* (+ 1.0 0.5) (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (/ (/ 1 (* (+ 1.0 0.5) (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (/ (/ 1 (* (+ 1.0 0.5) (hypot 1.0 x))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x))) (* (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 1.0) (- (* 0.5 0.5) (* 1.0 0.5))) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (+ (* 1.0 1.0) (- (* 0.5 0.5) (* 1.0 0.5))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x))) (/ (+ (* 1.0 1.0) (- (* 0.5 0.5) (* 1.0 0.5))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ (pow 1.0 3) (pow 0.5 3)) (hypot 1.0 x))) (/ (+ (* 1.0 1.0) (- (* 0.5 0.5) (* 1.0 0.5))) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (* (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 0.5) (cbrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (- 1.0 0.5) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (/ (- 1.0 0.5) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x))) (/ (- 1.0 0.5) (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ 1 (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (/ (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (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 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (sqrt (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (cbrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (sqrt (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x))))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0))) (hypot 1.0 x))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (/ (* 1.0 (- (* (- (* 1.0 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (* (+ 1.0 0.5) (hypot 1.0 x)))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 0.5) (hypot 1.0 x))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (+ (* 1.0 1.0) (- (* 0.5 0.5) (* 1.0 0.5)))) (/ (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (- 1.0 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) (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 1.0) (* 0.5 0.5)) (hypot 1.0 x)) (* 0.5 (+ 0.5 1.0)))) (- (* 1.0 (- 1.0 0.5)) (* 0.5 (/ 1.0 (hypot 1.0 x))))) (* (+ 1.0 0.5) (hypot 1.0 x))) (* (+ 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* (+ 1.0 0.5) (hypot 1.0 x))) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (- (* 0.75 (hypot 1.0 x)) 0.75) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) (* 0.6666666666666666 (/ (- (* 0.75 (hypot 1.0 x)) 0.75) (* (hypot 1.0 x) (+ (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 1.0)))) 1.502 * * * [progress]: adding candidates to table 1.924 * * [progress]: iteration 4 / 4 1.925 * * * [progress]: picking best candidate 1.942 * * * * [pick]: Picked # 1.942 * * * [progress]: localizing error 1.971 * * * [progress]: generating rewritten candidates 1.971 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.078 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 2.103 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 2.117 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.212 * * * [progress]: generating series expansions 2.212 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.213 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 x))) (* 1.0 (pow (sqrt 0.5) 2))) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in (x) around 0 2.213 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 x))) (* 1.0 (pow (sqrt 0.5) 2))) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 2.213 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 x))) (* 1.0 (pow (sqrt 0.5) 2))) in x 2.213 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 x))) in x 2.213 * [taylor]: Taking taylor expansion of 1.0 in x 2.213 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (hypot 1.0 x)) in x 2.213 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.213 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.213 * [taylor]: Taking taylor expansion of 0.5 in x 2.214 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.216 * [taylor]: Taking taylor expansion of (* 1.0 (pow (sqrt 0.5) 2)) in x 2.216 * [taylor]: Taking taylor expansion of 1.0 in x 2.216 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.216 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.216 * [taylor]: Taking taylor expansion of 0.5 in x 2.216 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 2.216 * [taylor]: Taking taylor expansion of 1.0 in x 2.216 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.216 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.216 * [taylor]: Taking taylor expansion of 0.5 in x 2.217 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.217 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.217 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.217 * [taylor]: Taking taylor expansion of 1.0 in x 2.217 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.217 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.217 * [taylor]: Taking taylor expansion of 1.0 in x 2.218 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 x))) (* 1.0 (pow (sqrt 0.5) 2))) (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) in x 2.218 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 x))) (* 1.0 (pow (sqrt 0.5) 2))) in x 2.218 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 x))) in x 2.218 * [taylor]: Taking taylor expansion of 1.0 in x 2.218 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (hypot 1.0 x)) in x 2.218 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.218 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.218 * [taylor]: Taking taylor expansion of 0.5 in x 2.219 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.220 * [taylor]: Taking taylor expansion of (* 1.0 (pow (sqrt 0.5) 2)) in x 2.220 * [taylor]: Taking taylor expansion of 1.0 in x 2.220 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.220 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.221 * [taylor]: Taking taylor expansion of 0.5 in x 2.221 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)))) in x 2.221 * [taylor]: Taking taylor expansion of 1.0 in x 2.221 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.221 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.221 * [taylor]: Taking taylor expansion of 0.5 in x 2.222 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.222 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.222 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.222 * [taylor]: Taking taylor expansion of 1.0 in x 2.222 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.222 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.222 * [taylor]: Taking taylor expansion of 1.0 in x 2.305 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ 1 x)))) (* 1.0 (pow (sqrt 0.5) 2))) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in (x) around 0 2.305 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ 1 x)))) (* 1.0 (pow (sqrt 0.5) 2))) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in x 2.305 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ 1 x)))) (* 1.0 (pow (sqrt 0.5) 2))) in x 2.305 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ 1 x)))) in x 2.305 * [taylor]: Taking taylor expansion of 1.0 in x 2.305 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ 1 x))) in x 2.305 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.305 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.305 * [taylor]: Taking taylor expansion of 0.5 in x 2.306 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.308 * [taylor]: Taking taylor expansion of (* 1.0 (pow (sqrt 0.5) 2)) in x 2.308 * [taylor]: Taking taylor expansion of 1.0 in x 2.308 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.308 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.308 * [taylor]: Taking taylor expansion of 0.5 in x 2.308 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 2.308 * [taylor]: Taking taylor expansion of 1.0 in x 2.308 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.308 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.308 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.308 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.308 * [taylor]: Taking taylor expansion of 1.0 in x 2.308 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.308 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.309 * [taylor]: Taking taylor expansion of 1.0 in x 2.309 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.310 * [taylor]: Taking taylor expansion of 0.5 in x 2.310 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ 1 x)))) (* 1.0 (pow (sqrt 0.5) 2))) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)))) in x 2.310 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ 1 x)))) (* 1.0 (pow (sqrt 0.5) 2))) in x 2.310 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ 1 x)))) in x 2.310 * [taylor]: Taking taylor expansion of 1.0 in x 2.310 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ 1 x))) in x 2.310 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.310 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.310 * [taylor]: Taking taylor expansion of 0.5 in x 2.311 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.312 * [taylor]: Taking taylor expansion of (* 1.0 (pow (sqrt 0.5) 2)) in x 2.312 * [taylor]: Taking taylor expansion of 1.0 in x 2.312 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.312 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.313 * [taylor]: Taking taylor expansion of 0.5 in x 2.313 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5))) in x 2.313 * [taylor]: Taking taylor expansion of 1.0 in x 2.313 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.313 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.313 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.313 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.313 * [taylor]: Taking taylor expansion of 1.0 in x 2.313 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.313 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.313 * [taylor]: Taking taylor expansion of 1.0 in x 2.314 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.314 * [taylor]: Taking taylor expansion of 0.5 in x 2.396 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ -1 x)))) (* 1.0 (pow (sqrt 0.5) 2))) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in (x) around 0 2.396 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ -1 x)))) (* 1.0 (pow (sqrt 0.5) 2))) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in x 2.396 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ -1 x)))) (* 1.0 (pow (sqrt 0.5) 2))) in x 2.396 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ -1 x)))) in x 2.396 * [taylor]: Taking taylor expansion of 1.0 in x 2.396 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ -1 x))) in x 2.396 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.396 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.396 * [taylor]: Taking taylor expansion of 0.5 in x 2.397 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.398 * [taylor]: Taking taylor expansion of (* 1.0 (pow (sqrt 0.5) 2)) in x 2.398 * [taylor]: Taking taylor expansion of 1.0 in x 2.398 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.398 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.398 * [taylor]: Taking taylor expansion of 0.5 in x 2.399 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 2.399 * [taylor]: Taking taylor expansion of 1.0 in x 2.399 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.399 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.399 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.399 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.399 * [taylor]: Taking taylor expansion of 1.0 in x 2.399 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.399 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.399 * [taylor]: Taking taylor expansion of 1.0 in x 2.400 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.400 * [taylor]: Taking taylor expansion of 0.5 in x 2.401 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ -1 x)))) (* 1.0 (pow (sqrt 0.5) 2))) (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)))) in x 2.401 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ -1 x)))) (* 1.0 (pow (sqrt 0.5) 2))) in x 2.401 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ -1 x)))) in x 2.401 * [taylor]: Taking taylor expansion of 1.0 in x 2.401 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) (hypot 1.0 (/ -1 x))) in x 2.401 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.401 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.401 * [taylor]: Taking taylor expansion of 0.5 in x 2.402 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.403 * [taylor]: Taking taylor expansion of (* 1.0 (pow (sqrt 0.5) 2)) in x 2.403 * [taylor]: Taking taylor expansion of 1.0 in x 2.403 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.403 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.403 * [taylor]: Taking taylor expansion of 0.5 in x 2.404 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5))) in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.404 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.404 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.404 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.405 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.405 * [taylor]: Taking taylor expansion of 0.5 in x 2.487 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 2.489 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in (x) around 0 2.489 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 2.489 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 2.489 * [taylor]: Taking taylor expansion of 0.75 in x 2.489 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.489 * [taylor]: Taking taylor expansion of 0.75 in x 2.489 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 x)) 0.75) in x 2.489 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 x)) in x 2.489 * [taylor]: Taking taylor expansion of 0.75 in x 2.489 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.489 * [taylor]: Taking taylor expansion of 0.75 in x 2.498 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in (x) around 0 2.498 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 2.498 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 2.498 * [taylor]: Taking taylor expansion of 0.75 in x 2.498 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.498 * [taylor]: Taking taylor expansion of 0.75 in x 2.499 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ 1 x))) 0.75) in x 2.499 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ 1 x))) in x 2.499 * [taylor]: Taking taylor expansion of 0.75 in x 2.499 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.499 * [taylor]: Taking taylor expansion of 0.75 in x 2.509 * [approximate]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in (x) around 0 2.509 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 2.509 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 2.509 * [taylor]: Taking taylor expansion of 0.75 in x 2.509 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.509 * [taylor]: Taking taylor expansion of 0.75 in x 2.509 * [taylor]: Taking taylor expansion of (- (* 0.75 (hypot 1.0 (/ -1 x))) 0.75) in x 2.509 * [taylor]: Taking taylor expansion of (* 0.75 (hypot 1.0 (/ -1 x))) in x 2.509 * [taylor]: Taking taylor expansion of 0.75 in x 2.509 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.509 * [taylor]: Taking taylor expansion of 0.75 in x 2.517 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 2.517 * [approximate]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in (x) around 0 2.517 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 2.517 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.517 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.517 * [taylor]: Taking taylor expansion of 0.5 in x 2.518 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.518 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.518 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.518 * [taylor]: Taking taylor expansion of 1.0 in x 2.518 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.518 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.518 * [taylor]: Taking taylor expansion of 1.0 in x 2.519 * [taylor]: Taking taylor expansion of (pow (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) 3) in x 2.519 * [taylor]: Taking taylor expansion of (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))) in x 2.520 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.520 * [taylor]: Taking taylor expansion of 0.5 in x 2.520 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.520 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.520 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.520 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.569 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 2.569 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 2.569 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.569 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.569 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.569 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.569 * [taylor]: Taking taylor expansion of 1.0 in x 2.569 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.569 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.569 * [taylor]: Taking taylor expansion of 1.0 in x 2.571 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.571 * [taylor]: Taking taylor expansion of 0.5 in x 2.572 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) 3) in x 2.572 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) (sqrt 0.5)) in x 2.572 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0)) in x 2.572 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.572 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.572 * [taylor]: Taking taylor expansion of 1.0 in x 2.572 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.572 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.572 * [taylor]: Taking taylor expansion of 1.0 in x 2.573 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.573 * [taylor]: Taking taylor expansion of 0.5 in x 2.614 * [approximate]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in (x) around 0 2.614 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 2.614 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.614 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.614 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.614 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.614 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.614 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.614 * [taylor]: Taking taylor expansion of 1.0 in x 2.615 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.615 * [taylor]: Taking taylor expansion of 0.5 in x 2.616 * [taylor]: Taking taylor expansion of (pow (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) 3) in x 2.616 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) (sqrt 0.5)) in x 2.616 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0)) in x 2.616 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.616 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.616 * [taylor]: Taking taylor expansion of 1.0 in x 2.616 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.616 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.616 * [taylor]: Taking taylor expansion of 1.0 in x 2.617 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.617 * [taylor]: Taking taylor expansion of 0.5 in x 2.663 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 2.664 * [approximate]: Taking taylor expansion of (* (pow (sqrt 0.5) 2) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in (x) around 0 2.664 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 2) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.664 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.664 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.664 * [taylor]: Taking taylor expansion of 0.5 in x 2.664 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.664 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.664 * [taylor]: Taking taylor expansion of 1.0 in x 2.664 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.664 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.665 * [taylor]: Taking taylor expansion of 1.0 in x 2.665 * [taylor]: Taking taylor expansion of (* (pow (sqrt 0.5) 2) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) in x 2.665 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.665 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.665 * [taylor]: Taking taylor expansion of 0.5 in x 2.665 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) in x 2.665 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 x))) in x 2.665 * [taylor]: Taking taylor expansion of 1.0 in x 2.665 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 x)) in x 2.665 * [taylor]: Taking taylor expansion of (hypot 1.0 x) in x 2.666 * [taylor]: Taking taylor expansion of 1.0 in x 2.691 * [approximate]: Taking taylor expansion of (* (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (pow (sqrt 0.5) 2)) in (x) around 0 2.691 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (pow (sqrt 0.5) 2)) in x 2.691 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.691 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.691 * [taylor]: Taking taylor expansion of 1.0 in x 2.691 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.691 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.691 * [taylor]: Taking taylor expansion of 1.0 in x 2.691 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.691 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.691 * [taylor]: Taking taylor expansion of 0.5 in x 2.692 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) (pow (sqrt 0.5) 2)) in x 2.692 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) 1.0) in x 2.692 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ 1 x)))) in x 2.692 * [taylor]: Taking taylor expansion of 1.0 in x 2.692 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ 1 x))) in x 2.692 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ 1 x)) in x 2.692 * [taylor]: Taking taylor expansion of 1.0 in x 2.692 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.692 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.692 * [taylor]: Taking taylor expansion of 0.5 in x 2.717 * [approximate]: Taking taylor expansion of (* (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (pow (sqrt 0.5) 2)) in (x) around 0 2.717 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (pow (sqrt 0.5) 2)) in x 2.717 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.717 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.717 * [taylor]: Taking taylor expansion of 1.0 in x 2.717 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.717 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.717 * [taylor]: Taking taylor expansion of 1.0 in x 2.717 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.717 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.717 * [taylor]: Taking taylor expansion of 0.5 in x 2.718 * [taylor]: Taking taylor expansion of (* (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) (pow (sqrt 0.5) 2)) in x 2.718 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) 1.0) in x 2.718 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (hypot 1.0 (/ -1 x)))) in x 2.718 * [taylor]: Taking taylor expansion of 1.0 in x 2.718 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1.0 (/ -1 x))) in x 2.718 * [taylor]: Taking taylor expansion of (hypot 1.0 (/ -1 x)) in x 2.718 * [taylor]: Taking taylor expansion of 1.0 in x 2.718 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 2.718 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 2.718 * [taylor]: Taking taylor expansion of 0.5 in x 2.743 * * * [progress]: simplifying candidates 2.747 * [simplify]: Simplifying using # : (/ (exp (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (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)))))))) (log (- (* (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)))))))) (exp (- (* (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)))))))) (* (cbrt (- (* (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)))))))) (cbrt (- (* (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))))))))) (cbrt (- (* (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))))) (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))))) (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))))) (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 (- (* (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 (- (* (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))))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3))))) (* 1.0 (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))))) (- (* (sqrt (* 0.5 (+ 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))))))) (* 1.0 (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))))) (- (* (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))))) (- (* (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 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) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))))) (- (* (* (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (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 (+ (* 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 (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))))) (* 1.0 (sqrt (* 0.5 (+ (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 (+ (* 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 (+ (* 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 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x))))) (* (* (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 (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x))))))) (* 1.0 (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))))))))) (* (* (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 (+ (* 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 (- 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* (* (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))))))) (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 (+ (* 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 (- 1.0 (/ 1.0 (hypot 1.0 x))))) (* 1.0 (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 (- 1.0 (/ 1.0 (hypot 1.0 x))))) (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 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3)))) (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))))) (* (* (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 (- 1.0 (/ 1.0 (hypot 1.0 x))))) (* 1.0 (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))))))))) (* (* (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 (- 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (- 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 (* 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 (- 1.0 (/ 1.0 (hypot 1.0 x)))) (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))))))) (* 1.0 (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3))))))) (* (* (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (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 (+ (* 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 (* 0.5 (+ (pow 1.0 3) (pow (/ 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)))) (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))))))) (* 1.0 (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)))) (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 (- 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 (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))))))) (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 (- 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x))))) (* 1.0 (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 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))))) (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 (* 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))))) (* (* (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x))))) (* 1.0 (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)))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (- 1.0 (/ 1.0 (hypot 1.0 x))))) (- (* (* (sqrt (* 0.5 (+ 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 (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 1.0 (sqrt (* 0.5 (+ (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 (+ (* 1.0 1.0) (- (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x))) (* 1.0 (/ 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1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) (* (pow (sqrt 0.5) 2) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* (pow (sqrt 0.5) 2) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) (* (pow (sqrt 0.5) 2) (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0)) 2.756 * [simplify]: Sending expressions to egg_math: (/ (exp (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (exp (* h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))))) (log (- (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))))) (exp (- (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))))) (* (cbrt (- (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))))) (cbrt (- (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))))) (cbrt (- (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))))) (* (* (- (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))))) (- (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))))) (- (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))))) (sqrt (- (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))))) (sqrt (- (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* h1 (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))))) (- (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 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h2)))))) (* (sqrt (+ h1 (/ h1 (hypot h1 h2)))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* (sqrt (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (+ (pow h1 3) (pow (/ h1 (hypot h1 h2)) 3))))) (* (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2))))) (sqrt (* h0 (- (* h1 h1) (* (/ h1 (hypot h1 h2)) (/ h1 (hypot h1 h2))))))) (* (sqrt (* h0 (+ (pow h1 3) (pow (/ h1 (hypot h1 h2)) 3)))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (* (sqrt (* h0 (- (* h1 h1) (* (/ h1 (hypot h1 h2)) (/ h1 (hypot h1 h2)))))) (sqrt (* h0 (+ h1 (/ h1 (hypot h1 h2)))))) (- (+ (* h1 (/ (pow (sqrt h0) 2) (hypot h1 h2))) (* h1 (pow (sqrt h0) 2))) (* h1 (* (sqrt h0) (sqrt (+ (* h1 (/ 1 (hypot h1 h2))) h1))))) (- (+ (* h1 (/ (pow (sqrt h0) 2) (hypot h1 h2))) (* h1 (pow (sqrt h0) 2))) (* h1 (* (sqrt h0) (sqrt (+ (* h1 (/ 1 (hypot h1 h2))) h1))))) (- (+ (* h1 (/ (pow (sqrt h0) 2) (hypot h1 h2))) (* h1 (pow (sqrt h0) 2))) (* h1 (* (sqrt h0) (sqrt (+ (* h1 (/ 1 (hypot h1 h2))) h1))))) (- (* h3 (hypot h1 h2)) h3) (- (* h3 (hypot h1 h2)) h3) (- (* h3 (hypot h1 h2)) h3) (* (pow (sqrt h0) 3) (sqrt (pow (+ (* h1 (/ 1 (hypot h1 h2))) h1) 3))) (* (pow (sqrt h0) 3) (sqrt (pow (+ (* h1 (/ 1 (hypot h1 h2))) h1) 3))) (* (pow (sqrt h0) 3) (sqrt (pow (+ (* h1 (/ 1 (hypot h1 h2))) h1) 3))) (* (pow (sqrt h0) 2) (+ (* h1 (/ 1 (hypot h1 h2))) h1)) (* (pow (sqrt h0) 2) (+ (* h1 (/ 1 (hypot h1 h2))) h1)) (* (pow (sqrt h0) 2) (+ (* h1 (/ 1 (hypot h1 h2))) h1)) 2.769 * * [simplify]: iteration 0 : 778 enodes (cost 2336 ) 2.788 * * [simplify]: iteration 1 : 4088 enodes (cost 1998 ) 2.893 * * [simplify]: iteration 2 : 5003 enodes (cost 1985 ) 2.902 * [simplify]: Simplified to: (exp (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))))) (+ (log (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (log (- (sqrt (* 0.5 (+ 1.0 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x)))) (* (sqrt (* 0.5 (- (* 1.0 1.0) (* (/ 1.0 (hypot 1.0 x)) (/ 1.0 (hypot 1.0 x)))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1.0))) (- 1.0 (/ 1.0 (hypot 1.0 x))) (+ (- (pow (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 3)) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3)) (+ (* (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3) 1.0) (* (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (+ (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* 1.0 1.0)))) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (* (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (- (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* 1.0 1.0))) (+ (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (- (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 1.0) (- (* 1.0 (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (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)) 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(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)) 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x))))) 3/2) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3/2) 1 1 1 2 1 1 1 1 1 1 (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 4) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 4) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 4) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 4) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 4) 2 (log (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (log (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (pow (exp 0.5) (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 4) (cbrt (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))))) (pow (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) 3) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 4) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3))) (+ (* (/ 1.0 (hypot 1.0 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(hypot 1.0 x))))) 1 (* 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))))) 1 2 1 1 1 1 (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 5) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt 0.5)) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3/2) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (pow (cbrt (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) 4) (* (sqrt (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))))) (pow (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) 3/2) (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x)))) (* (sqrt (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3))))) (* (sqrt (* 0.5 (+ 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 (* 0.5 (+ 1.0 (/ 1.0 (hypot 1.0 x))))) (sqrt (* 0.5 (+ (pow 1.0 3) (pow (/ 1.0 (hypot 1.0 x)) 3))))) (* (sqrt (* 0.5 (+ 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))))))) (+ (* 1.0 (- 0.5 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* 1.0 (- 0.5 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) (* 0.5 (/ 1.0 (hypot 1.0 x)))) (+ (* 1.0 (- 0.5 (* (sqrt 0.5) (sqrt (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0))))) (* 0.5 (/ 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) (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) (* (pow (sqrt 0.5) 3) (sqrt (pow (+ (* 1.0 (/ 1 (hypot 1.0 x))) 1.0) 3))) (* 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)))) 2.903 * * * [progress]: adding candidates to table 3.506 * [progress]: [Phase 3 of 3] Extracting. 3.506 * * [regime]: Finding splitpoints for: (# # #) 3.510 * * * [regime-changes]: Trying 3 branch expressions: ((hypot 1.0 x) (/ 1.0 (hypot 1.0 x)) x) 3.510 * * * * [regimes]: Trying to branch on (hypot 1.0 x) from (# # #) 3.533 * * * * [regimes]: Trying to branch on (/ 1.0 (hypot 1.0 x)) from (# # #) 3.561 * * * * [regimes]: Trying to branch on x from (# # #) 3.583 * * * [regime]: Found split indices: #